diff --git a/.gitattributes b/.gitattributes index 88263a27..d342daf6 100644 --- a/.gitattributes +++ b/.gitattributes @@ -1,2 +1,7 @@ *.py export-subst *.git* export-ignore + +# Los makefiles van en LF: con CRLF, la continuacion de linea (\ + CR) rompe make +makefile text eol=lf +makefile.* text eol=lf +*.sh text eol=lf diff --git a/.gitignore b/.gitignore index 64fc5a0a..d9376ef5 100644 --- a/.gitignore +++ b/.gitignore @@ -207,3 +207,12 @@ test/target_results docs/html docs/latex Data.csv + +# Binarios con el sufijo de plataforma que espera get_ext() del plugin FAT +Cell2Fire/Cell2Fire.exe +Cell2Fire/Cell2Fire_Darwin* +Cell2Fire/Cell2Fire.Ubuntu* +Cell2Fire/Cell2Fire.Debian* + +# Salidas generadas por el simulador dentro de las instancias +Results/ diff --git a/Cell2Fire/FuelModelFBP.cpp b/Cell2Fire/CanadianFBPKernel.cpp similarity index 99% rename from Cell2Fire/FuelModelFBP.cpp rename to Cell2Fire/CanadianFBPKernel.cpp index 0265abf7..439cdd82 100644 --- a/Cell2Fire/FuelModelFBP.cpp +++ b/Cell2Fire/CanadianFBPKernel.cpp @@ -75,7 +75,7 @@ is 10.0 5.0 Oct 2014 - forgot to change the encoded version number to 5.0. now 5.0001 - updated header to FBP5.h */ -#include "FuelModelFBP.h" +#include "CanadianFBPKernel.h" #include "Cells.h" #include #include diff --git a/Cell2Fire/FuelModelFBP.h b/Cell2Fire/CanadianFBPKernel.h similarity index 95% rename from Cell2Fire/FuelModelFBP.h rename to Cell2Fire/CanadianFBPKernel.h index 7543cc43..862e47fa 100644 --- a/Cell2Fire/FuelModelFBP.h +++ b/Cell2Fire/CanadianFBPKernel.h @@ -1,109 +1,109 @@ -/* fbp.h -- header file for fbp program bmw - function prototypes and structures for fbp.c prog - nov/92 - modified for version 4.3 of the code - Aug/2005 bmw - modified for version 4.5 of the code - Nov/2007 bmw - change of name for 5.0 -*/ - -#if !defined(_FBPHEAD) -#define _FBPHEAD - -#include "Cells.h" -#include - -float grass(fuel_coefs* ptr, float cur, float isi, float* mu); - -float mixed_wood(fuel_coefs* ptr, float isi, float* mult, int pc); - -float ISF_mixedwood(fuel_coefs* ptr, float isz, int pc, float sf); - -float ISF_deadfir(fuel_coefs* ptr, float isz, int pdf, float sf); - -float dead_fir(fuel_coefs* ptr, int pdf, float isi, float* mult); - -float D2_ROS(fuel_coefs* ptr, float isi, float bui, float* mu); - -float conifer(fuel_coefs* ptr, float isi, float* mult); - -float bui_effect(fuel_coefs* ptr, main_outs* at, float bui); - -float ros_calc(inputs* inp, fuel_coefs* ptr, float isi, float* mu, weatherDF* wdf_ptr); - -float rate_of_spread(inputs* inp, fuel_coefs* ptr, main_outs* at, weatherDF* wdf_ptr); - -float slope_effect(inputs* inp, fuel_coefs* ptr, main_outs* at, float isi, weatherDF* wdf_ptr); - -float surf_fuel_consump(inputs* inp, weatherDF* wdf_ptr); - -float fire_intensity(float fc, float ros); - -void setup_const(fuel_coefs* ptr); - -char get_fueltype_number(fuel_coefs** ptr, char ft[4]); - -float foliar_moisture(inputs* inp, main_outs* at); - -float crit_surf_intensity(fuel_coefs* ptr, float fmc); - -float critical_ros(char ft[3], float sfc, float csi); - -int fire_type(float csi, float sfi); - -float crown_frac_burn(float ros, float rso); - -char fire_description(float cfb); - -float final_ros(inputs* inp, float fmc, float isi, float cfb, float rss); - -float crown_consump(inputs* inp, fuel_coefs* ptr, float cfb); - -float foliar_mois_effect(float isi, float fmc); - -float l_to_b(char ft[3], float ws); - -float ffmc_effect(float ffmc); - -float backfire_ros(inputs* inp, fuel_coefs* ptr, main_outs* at, float bisi, weatherDF* wdf_ptr); - -float backfire_isi(main_outs* at); - -float area(float dt, float df); - -float perimeter(fire_struc* h, fire_struc* b, snd_outs* sec, float lb); - -float acceleration(inputs* inp, float cfb); - -float flankfire_ros(float ros, float bros, float lb); - -float spread_distance(inputs* inp, fire_struc* ptr, float accn); - -float flank_spread_distance( - inputs* inp, fire_struc* ptr, snd_outs* sec, float hrost, float brost, float hd, float bd, float lb, float a); - -int time_to_crown(float ros, float rso, float a); - -float fire_behaviour(inputs* inp, fuel_coefs* ptr, main_outs* at, fire_struc* f); -float flank_fire_behaviour(inputs* inp, fuel_coefs* ptr, main_outs* at, fire_struc* f); - -void set_all(fire_struc* ptr, int time); - -void calculate_fbp(inputs* data, - fuel_coefs* ptr, - main_outs* at, - snd_outs* sec, - fire_struc* hptr, - fire_struc* fptr, - fire_struc* bptr, - weatherDF* wdf_ptr); -void determine_destiny_metrics_fbp( - inputs* data, fuel_coefs* pt, main_outs* metrics, fire_struc* metrics2, weatherDF* wdf_ptr); -void zero_main(main_outs* m); - -void zero_sec(snd_outs* s); - -void zero_fire(fire_struc* a); - -#endif +/* fbp.h -- header file for fbp program bmw + function prototypes and structures for fbp.c prog + nov/92 + modified for version 4.3 of the code + Aug/2005 bmw + modified for version 4.5 of the code + Nov/2007 bmw + change of name for 5.0 +*/ + +#if !defined(CANADIANFBPKERNEL) +#define CANADIANFBPKERNEL + +#include "Cells.h" +#include + +float grass(fuel_coefs* ptr, float cur, float isi, float* mu); + +float mixed_wood(fuel_coefs* ptr, float isi, float* mult, int pc); + +float ISF_mixedwood(fuel_coefs* ptr, float isz, int pc, float sf); + +float ISF_deadfir(fuel_coefs* ptr, float isz, int pdf, float sf); + +float dead_fir(fuel_coefs* ptr, int pdf, float isi, float* mult); + +float D2_ROS(fuel_coefs* ptr, float isi, float bui, float* mu); + +float conifer(fuel_coefs* ptr, float isi, float* mult); + +float bui_effect(fuel_coefs* ptr, main_outs* at, float bui); + +float ros_calc(inputs* inp, fuel_coefs* ptr, float isi, float* mu, weatherDF* wdf_ptr); + +float rate_of_spread(inputs* inp, fuel_coefs* ptr, main_outs* at, weatherDF* wdf_ptr); + +float slope_effect(inputs* inp, fuel_coefs* ptr, main_outs* at, float isi, weatherDF* wdf_ptr); + +float surf_fuel_consump(inputs* inp, weatherDF* wdf_ptr); + +float fire_intensity(float fc, float ros); + +void setup_const(fuel_coefs* ptr); + +char get_fueltype_number(fuel_coefs** ptr, char ft[4]); + +float foliar_moisture(inputs* inp, main_outs* at); + +float crit_surf_intensity(fuel_coefs* ptr, float fmc); + +float critical_ros(char ft[3], float sfc, float csi); + +int fire_type(float csi, float sfi); + +float crown_frac_burn(float ros, float rso); + +char fire_description(float cfb); + +float final_ros(inputs* inp, float fmc, float isi, float cfb, float rss); + +float crown_consump(inputs* inp, fuel_coefs* ptr, float cfb); + +float foliar_mois_effect(float isi, float fmc); + +float l_to_b(char ft[3], float ws); + +float ffmc_effect(float ffmc); + +float backfire_ros(inputs* inp, fuel_coefs* ptr, main_outs* at, float bisi, weatherDF* wdf_ptr); + +float backfire_isi(main_outs* at); + +float area(float dt, float df); + +float perimeter(fire_struc* h, fire_struc* b, snd_outs* sec, float lb); + +float acceleration(inputs* inp, float cfb); + +float flankfire_ros(float ros, float bros, float lb); + +float spread_distance(inputs* inp, fire_struc* ptr, float accn); + +float flank_spread_distance( + inputs* inp, fire_struc* ptr, snd_outs* sec, float hrost, float brost, float hd, float bd, float lb, float a); + +int time_to_crown(float ros, float rso, float a); + +float fire_behaviour(inputs* inp, fuel_coefs* ptr, main_outs* at, fire_struc* f); +float flank_fire_behaviour(inputs* inp, fuel_coefs* ptr, main_outs* at, fire_struc* f); + +void set_all(fire_struc* ptr, int time); + +void calculate_fbp(inputs* data, + fuel_coefs* ptr, + main_outs* at, + snd_outs* sec, + fire_struc* hptr, + fire_struc* fptr, + fire_struc* bptr, + weatherDF* wdf_ptr); +void determine_destiny_metrics_fbp( + inputs* data, fuel_coefs* pt, main_outs* metrics, fire_struc* metrics2, weatherDF* wdf_ptr); +void zero_main(main_outs* m); + +void zero_sec(snd_outs* s); + +void zero_fire(fire_struc* a); + +#endif diff --git a/Cell2Fire/Cell2Fire.cpp b/Cell2Fire/Cell2Fire.cpp index 68a6b8a2..9345295d 100644 --- a/Cell2Fire/Cell2Fire.cpp +++ b/Cell2Fire/Cell2Fire.cpp @@ -1,4 +1,5 @@ /* coding: utf-8 +#include __version__ = "3.0" __author__ = "Jaime Carrasco-Barra, Cristobal Pais" __maintainer__ = "Jaime Carrasco-Barra, Matilde Rivas, David Palacios" @@ -8,13 +9,13 @@ __maintainer__ = "Jaime Carrasco-Barra, Matilde Rivas, David Palacios" #include "Cell2Fire.h" #include "Cells.h" #include "DataGenerator.h" -#include "FuelModelKitral.h" -#include "FuelModelPortugal.h" -#include "FuelModelSpain.h" +#include "KitralKernel.h" +#include "ScottAndBurganKernel.h" #include "FuelModelUtils.h" #include "Lightning.h" #include "ReadArgs.h" #include "ReadCSV.h" +#include "ReadShp.h" #include "Spotting.h" #include "WriteCSV.h" @@ -47,7 +48,7 @@ inputs* df_ptr; inputs* df; int currentSim = 0; std::unordered_map> BBOFactors; -std::unordered_map> HarvestedCells; +std::unordered_map> firebreakPlan; std::vector WeatherWeights; std::vector WeatherWeightIDs; std::vector NFTypesCells; @@ -67,7 +68,7 @@ printSets(std::unordered_set availCells, std::unordered_set nonBurnableCells, std::unordered_set burningCells, std::unordered_set burntCells, - std::unordered_set harvestCells) + std::unordered_set firebreakCells) { std::cout << "\nSet information period" << std::endl; std::cout << "Available Cells:"; @@ -99,7 +100,7 @@ printSets(std::unordered_set availCells, std::cout << std::endl; std::cout << "Firebreak Cells:"; - for (auto& hc : harvestCells) + for (auto& hc : firebreakCells) { std::cout << " " << hc; } @@ -165,12 +166,52 @@ separator() * `WeatherDistribution.csv`. * - Processes ignition points from `Ignitions.csv` (if provided) and computes * adjacent cells based on the ignition radius. - * - Categorizes cells as burnable, non-burnable, or harvested based on input + * - Categorizes cells as burnable, non-burnable, or firebreak based on input * data. * - If BBO tuning is enabled, initializes tuning factors using `BBOFuels.csv`. * - Validates and adjusts simulation parameters based on the weather file * consistency. */ + +// Codigos de combustible de la tabla del kernel en uso: "GR3" -> 103, "PCH1" -> 1. +// Lo comparten --fuel-adjustment y --treat-fuel, de modo que en ambos se pueda escribir +// el codigo del modelo en vez del numero del raster. +static std::unordered_map +_lookupCodes(const arguments& args) +{ + std::unordered_map m; + const std::string sep = "/"; + std::string tabla; + if (args.Simulator == "K") tabla = args.InFolder + sep + "kitral_lookup_table.csv"; + else if (args.Simulator == "C") tabla = args.InFolder + sep + "fbp_lookup_table.csv"; + else if (args.Simulator == "P") tabla = args.InFolder + sep + "portugal_lookup_table.csv"; + else + { + tabla = args.InFolder + sep + "scott_and_burgan_lookup_table.csv"; + std::ifstream probe(tabla); + if (!probe.good()) tabla = args.InFolder + sep + "spain_lookup_table.csv"; + } + std::ifstream lt(tabla); + std::string ln; + while (std::getline(lt, ln)) + { + std::vector campos; + std::stringstream ss(ln); + std::string campo; + while (std::getline(ss, campo, ',')) campos.push_back(campo); + if (campos.size() < 4) continue; + try + { + int num = std::stoi(campos[0]); + std::string cod = campos[3]; + while (!cod.empty() && (cod.back() == '\r' || cod.back() == ' ')) cod.pop_back(); + if (!cod.empty()) m[cod] = num; + } + catch (const std::invalid_argument&) { continue; } + } + return m; +} + Cell2Fire::Cell2Fire(arguments _args) : CSVForest(_args.InFolder + "fuels", " ") { // Aux @@ -236,6 +277,7 @@ Cell2Fire::Cell2Fire(arguments _args) : CSVForest(_args.InFolder + "fuels", " ") this->xllcorner = frdf.xllcorner; this->yllcorner = frdf.yllcorner; + // ---- Rio: leer shapefile (--river-shp) y rasterizar a celdas-rio ---- this->coordCells = frdf.coordCells; // this->adjCells = frdf.adjCells; @@ -303,23 +345,23 @@ Cell2Fire::Cell2Fire(arguments _args) : CSVForest(_args.InFolder + "fuels", " ") } } - // Harvested cells - if (strcmp(this->args.HarvestPlan.c_str(), EM) != 0) + // Firebreak cells + if (strcmp(this->args.FirebreakPlan.c_str(), EM) != 0) { std::string sep = ","; - CSVReader CSVHPlan(this->args.HarvestPlan, sep); + CSVReader CSVFirebreakPlan(this->args.FirebreakPlan, sep); // Populate Ignitions vector - std::vector> HarvestedDF = CSVHPlan.getData(this->args.HarvestPlan); - // CSVHPlan.printData(HarvestedDF); + std::vector> firebreakDF = CSVFirebreakPlan.getData(this->args.FirebreakPlan); + // CSVFirebreakPlan.printData(firebreakDF); // Cells - int HCellsP = HarvestedDF.size() - 1; - CSVHPlan.parseHarvestedDF(HarvestedCells, HarvestedDF, HCellsP); + int HCellsP = firebreakDF.size() - 1; + CSVFirebreakPlan.parseFirebreakDF(firebreakPlan, firebreakDF, HCellsP); // Print-out - std::cout << "Number of Firebreak Cells :" << HarvestedCells.size() << std::endl; - for (auto it = HarvestedCells.begin(); it != HarvestedCells.end(); it++) + std::cout << "Number of Firebreak Cells :" << firebreakPlan.size() << std::endl; + for (auto it = firebreakPlan.begin(); it != firebreakPlan.end(); it++) { for (auto& it2 : it->second) { @@ -330,6 +372,365 @@ Cell2Fire::Cell2Fire(arguments _args) : CSVForest(_args.InFolder + "fuels", " ") } } + // ---- Tratamientos silviculturales sobre una zona ------------------------ + // Modifican la estructura del rodal sin eliminar la celda, que es lo que distingue + // un raleo o una poda de un cortafuegos. Subir la altura de base de copa dificulta + // que el fuego de superficie inicie copas; bajar la densidad aparente dificulta que + // el fuego de copas se propague. La carga superficial no se toca por separado: en + // Scott & Burgan la carga DEFINE el modelo, asi que reducirla es reasignar el + // combustible (--treat-fuel), no bajar un numero. + if (!this->args.TreatmentShp.empty()) + { + std::vector parts; + if (!readShapefileParts(this->args.TreatmentShp, parts)) + throw std::runtime_error("No se pudo leer " + this->args.TreatmentShp + + " (debe ser PolyLine o Polygon en la CRS de la instancia)"); + const int shpType = readShapefileType(this->args.TreatmentShp); + const bool isPolygon = (shpType == 5 || shpType == 15 || shpType == 25); + + // celdas de la zona: las que el poligono cubre por sobre el umbral de cobertura + std::set zona; + std::set tocadas; + { + const double paso = this->cellSide * 0.25; + for (const auto& part : parts) + for (size_t k = 0; k + 1 < part.size(); ++k) + { + double x0 = part[k].x, y0 = part[k].y, x1 = part[k + 1].x, y1 = part[k + 1].y; + double seg = std::sqrt((x1 - x0) * (x1 - x0) + (y1 - y0) * (y1 - y0)); + int ns = std::max(1, (int)std::ceil(seg / paso)); + for (int t = 0; t <= ns; ++t) + { + double x = x0 + (x1 - x0) * t / ns, y = y0 + (y1 - y0) * t / ns; + int c = (int)((x - this->xllcorner) / this->cellSide); + int r = this->rows - 1 - (int)((y - this->yllcorner) / this->cellSide); + if (r >= 0 && r < this->rows && c >= 0 && c < this->cols) + tocadas.insert(r * this->cols + c + 1); + } + } + } + if (isPolygon) + { + // el interior completo, no solo el borde: la zona tratada es un area + double bx0, by0, bx1, by1; + readShapefileBBox(this->args.TreatmentShp, bx0, by0, bx1, by1); + int c0 = std::max(0, (int)((bx0 - this->xllcorner) / this->cellSide)); + int c1 = std::min(this->cols - 1, (int)((bx1 - this->xllcorner) / this->cellSide)); + int r0 = std::max(0, this->rows - 1 - (int)((by1 - this->yllcorner) / this->cellSide)); + int r1 = std::min(this->rows - 1, this->rows - 1 - (int)((by0 - this->yllcorner) / this->cellSide)); + for (int r = r0; r <= r1; ++r) + for (int c = c0; c <= c1; ++c) + { + double x = this->xllcorner + c * this->cellSide; + double y = this->yllcorner + (this->rows - 1 - r) * this->cellSide; + if (cellAreaFraction(parts, x, y, this->cellSide) >= this->args.BarrierCover) + zona.insert(r * this->cols + c + 1); + } + } + else + { + zona = tocadas; + } + + int nuevoFuel = -1; + if (!this->args.TreatFuel.empty()) + { + auto codigos = _lookupCodes(this->args); + auto it = codigos.find(this->args.TreatFuel); + if (it != codigos.end()) nuevoFuel = it->second; + else + { + try { nuevoFuel = std::stoi(this->args.TreatFuel); } + catch (const std::exception&) + { + throw std::runtime_error("--treat-fuel: '" + this->args.TreatFuel + + "' no existe en la tabla de " + this->args.Simulator); + } + } + } + + int nCbh = 0, nCbd = 0, nCcf = 0, nFuel = 0; + for (int cid : zona) + { + inputs& d = df[cid - 1]; + if (this->args.TreatCBH >= 0.0f) { d.cbh = this->args.TreatCBH; ++nCbh; } + if (this->args.TreatCBD >= 0.0f) { d.cbd = this->args.TreatCBD; ++nCbd; } + if (this->args.TreatCCF >= 0.0f) { d.ccf = this->args.TreatCCF; ++nCcf; } + if (nuevoFuel > 0) + { + d.nftype = nuevoFuel; + this->fTypeCells[cid - 1] = 1; // sigue siendo quemable + ++nFuel; + } + } + std::cout << "Treatment: " << zona.size() << " celda(s) en " + << this->args.TreatmentShp; + if (nCbh) std::cout << " | cbh=" << this->args.TreatCBH; + if (nCbd) std::cout << " | cbd=" << this->args.TreatCBD; + if (nCcf) std::cout << " | ccf=" << this->args.TreatCCF; + if (nFuel) std::cout << " | fuel=" << this->args.TreatFuel << "(" << nuevoFuel << ")"; + std::cout << std::endl; + } + + // ---- Factores de ajuste del ROS por tipo de combustible ----------------- + // Analogo al fuel adjustment factor de FARSITE: multiplica el ROS de las celdas + // de ese combustible, igual en todas las direcciones. CSV de dos columnas + // (codigo,factor) con encabezado opcional. Los combustibles no listados quedan + // en 1.0. La numeracion es la del kernel en uso, por eso el archivo va por + // instancia y no hay una tabla comun a los tres. + if (!this->args.FuelAdjustmentFile.empty()) + { + std::unordered_map codigoAFuel = _lookupCodes(this->args); + + std::ifstream fa(this->args.FuelAdjustmentFile); + if (!fa.good()) + throw std::runtime_error("No se pudo abrir " + this->args.FuelAdjustmentFile); + std::string linea; + int n = 0; + while (std::getline(fa, linea)) + { + if (linea.empty()) continue; + size_t coma = linea.find(','); + if (coma == std::string::npos) continue; + std::string clave = linea.substr(0, coma); + while (!clave.empty() && (clave.back() == '\r' || clave.back() == ' ')) clave.pop_back(); + try + { + int code; + auto ic = codigoAFuel.find(clave); + if (ic != codigoAFuel.end()) + { + code = ic->second; // codigo string, p.ej. GR3 o PCH1 + } + else + { + // No es un codigo de la tabla: se acepta como numerico. Si tampoco + // lo es, stoi lanza invalid_argument y se trata mas abajo: un + // codigo mal escrito no puede pasar en silencio, porque dejaria la + // corrida sin calibrar sin que nadie se entere. + size_t consumidos = 0; + code = std::stoi(clave, &consumidos); + if (consumidos != clave.size()) throw std::invalid_argument(clave); + } + double f = std::stod(linea.substr(coma + 1)); + if (f <= 0.0) + throw std::runtime_error("Factor no positivo para el combustible " + + std::to_string(code)); + fuelAdjustment[code] = f; + ++n; + } + catch (const std::invalid_argument&) + { + // El encabezado es la unica linea no numerica que se tolera. + if (clave == "fuel" || clave == "Fuel" || clave == "codigo" || clave == "code") + continue; + std::string validos; + int k2 = 0; + for (auto& e : codigoAFuel) + { + if (k2++ >= 12) { validos += " ..."; break; } + validos += " " + e.first; + } + throw std::runtime_error("Combustible '" + clave + "' no existe en la tabla de " + + this->args.Simulator + ". Codigos validos:" + validos); + } + } + std::cout << "Fuel adjustment: " << n << " combustible(s) con factor"; + int k = 0; + for (auto& e : fuelAdjustment) + { + if (k++ >= 8) { std::cout << " ..."; break; } + std::cout << " " << e.first << "=" << e.second; + } + std::cout << std::endl; + } + + // ---- Barreras vectoriales: rios, caminos y cortafuegos ------------------ + // Semantica UNIFICADA para las tres: la celda deja de ser combustible + // (statusCells=3, sale de availCells) y ademas queda marcada como barrera, de + // modo que el breaching pueda saltarla. Sin breaching, detienen el fuego. + // El tipo solo distingue la atribucion en RiverCrossings*.csv. + // + // Regla de rasterizacion segun geometria: + // Polygon -> la celda cae si su CENTRO esta dentro del poligono. Asi una + // franja mas angosta que la celda no se convierte en un muro del + // ancho de la celda: solo captura las celdas que realmente cubre. + // PolyLine -> una linea no encierra nada, asi que se toman las celdas que + // atraviesa (muestreo denso). Es una sobreestimacion inevitable: + // para anchos sub-celda conviene entregar poligonos. + { + std::vector> vecSrc; // {ruta, tipo} + if (!this->args.RiverShp.empty()) vecSrc.push_back({ this->args.RiverShp, "river" }); + if (!this->args.RoadShp.empty()) vecSrc.push_back({ this->args.RoadShp, "road" }); + if (!this->args.FirebreakShp.empty()) vecSrc.push_back({ this->args.FirebreakShp, "firebreak" }); + if (this->args.UseRivers) + for (const auto& p : listShapefiles(this->args.InFolder + "Rivers")) + vecSrc.push_back({ p.first, "river" }); + if (this->args.UseRoads) + for (const auto& p : listShapefiles(this->args.InFolder + "Roads")) + vecSrc.push_back({ p.first, "road" }); + if (this->args.UseFirebreaks) + for (const auto& p : listShapefiles(this->args.InFolder + "Firebreaks")) + vecSrc.push_back({ p.first, "firebreak" }); + + int vecTotal = 0; + for (const auto& src : vecSrc) + { + // Aviso temprano si no solapa el raster: casi siempre es CRS equivocada. + double bx0, by0, bx1, by1; + if (readShapefileBBox(src.first, bx0, by0, bx1, by1)) + { + double rx1 = this->xllcorner + this->cols * this->cellSide; + double ry1 = this->yllcorner + this->rows * this->cellSide; + if (bx1 < this->xllcorner || bx0 > rx1 || by1 < this->yllcorner || by0 > ry1) + std::cout << "Barrier[" << src.second << "]: AVISO, " << src.first + << " no solapa el raster. Revisa la CRS." << std::endl; + } + + std::vector parts; + if (!readShapefileParts(src.first, parts)) + { + std::cout << "Barrier[" << src.second << "]: no se pudo leer " << src.first + << " (debe ser PolyLine o Polygon en la CRS de la instancia)" << std::endl; + continue; + } + const int shpType = readShapefileType(src.first); + const bool isPolygon = (shpType == 5 || shpType == 15 || shpType == 25); + + // Celdas que la geometria atraviesa: base para todo lo que sigue. + // Solo estas pueden tener cobertura significativa, asi que restringir el + // test de area a este conjunto evita recorrer el bbox completo (para el + // Rio Claro son 54 km de trazado y el bbox abarca media instancia). + std::set tocadas; + { + const double paso = this->cellSide * 0.25; + for (const auto& part : parts) + for (size_t k2 = 0; k2 + 1 < part.size(); ++k2) + { + double x0 = part[k2].x, y0 = part[k2].y; + double x1 = part[k2 + 1].x, y1 = part[k2 + 1].y; + double seg = std::sqrt((x1 - x0) * (x1 - x0) + (y1 - y0) * (y1 - y0)); + int ns = std::max(1, (int)std::ceil(seg / paso)); + for (int t = 0; t <= ns; ++t) + { + double x = x0 + (x1 - x0) * t / ns; + double y = y0 + (y1 - y0) * t / ns; + int cc = (int)((x - this->xllcorner) / this->cellSide); + int rr = this->rows - 1 - (int)((y - this->yllcorner) / this->cellSide); + if (rr >= 0 && rr < this->rows && cc >= 0 && cc < this->cols) + tocadas.insert(rr * this->cols + cc + 1); + } + } + } + + std::set cells; + if (isPolygon) + { + // Cobertura de area sobre las celdas atravesadas. + for (int cid : tocadas) + { + int r = (cid - 1) / this->cols, c = (cid - 1) % this->cols; + double x0 = this->xllcorner + c * this->cellSide; + double y0 = this->yllcorner + (this->rows - 1 - r) * this->cellSide; + if (cellAreaFraction(parts, x0, y0, this->cellSide) >= this->args.BarrierCover) + cells.insert(cid); + } + } + else + { + double step = this->cellSide * 0.5; + for (auto& part : parts) + for (size_t k2 = 0; k2 + 1 < part.size(); ++k2) + { + double x0 = part[k2].x, y0 = part[k2].y; + double x1 = part[k2 + 1].x, y1 = part[k2 + 1].y; + double seg = std::sqrt((x1 - x0) * (x1 - x0) + (y1 - y0) * (y1 - y0)); + int nstep = std::max(1, (int)std::ceil(seg / step)); + for (int t = 0; t <= nstep; ++t) + { + double x = x0 + (x1 - x0) * t / nstep; + double y = y0 + (y1 - y0) * t / nstep; + int col = (int)((x - this->xllcorner) / this->cellSide); + int row = this->rows - 1 - (int)((y - this->yllcorner) / this->cellSide); + if (row >= 0 && row < this->rows && col >= 0 && col < this->cols) + cells.insert(row * this->cols + col + 1); + } + } + } + + // ---- Aristas bloqueadas ------------------------------------------- + // El bloqueo real va en la TRANSICION: para cada celda vecina de la + // barrera se prueban sus 8 salidas, y si el segmento centro-a-centro + // cruza la geometria, ese paso queda bloqueado con su ancho cruzado. + // Esto hace que un rio de 10 m detenga el fuego igual que uno de 100 y + // elimina las fugas diagonales de una barrera de una celda de ancho. + { + // Candidatas para aristas: las atravesadas mas su vecindad. + std::set cand; + for (int cid : tocadas) + { + int r = (cid - 1) / this->cols, c = (cid - 1) % this->cols; + for (int dr = -2; dr <= 2; ++dr) + for (int dc = -2; dc <= 2; ++dc) + { + int rr = r + dr, cc = c + dc; + if (rr >= 0 && rr < this->rows && cc >= 0 && cc < this->cols) + cand.insert(rr * this->cols + cc + 1); + } + } + int nArcs = 0; + for (int from : cand) + { + int r = (from - 1) / this->cols, c = (from - 1) % this->cols; + double ax = this->xllcorner + (c + 0.5) * this->cellSide; + double ay = this->yllcorner + (this->rows - 1 - r + 0.5) * this->cellSide; + for (int dr = -1; dr <= 1; ++dr) + for (int dc = -1; dc <= 1; ++dc) + { + if (dr == 0 && dc == 0) continue; + int rr = r + dr, cc = c + dc; + if (rr < 0 || rr >= this->rows || cc < 0 || cc >= this->cols) continue; + int to = rr * this->cols + cc + 1; + double bx = this->xllcorner + (cc + 0.5) * this->cellSide; + double by = this->yllcorner + (this->rows - 1 - rr + 0.5) * this->cellSide; + double w = crossedWidth(ax, ay, bx, by, parts, this->args.BarrierWidth); + if (w > 0.0) + { + long long k = this->arcKey(from, to); + auto prev = this->blockedArcs.find(k); + if (prev == this->blockedArcs.end() || prev->second < w) + { + this->blockedArcs[k] = w; + this->arcBarrierType[k] = src.second; + } + ++nArcs; + } + } + } + std::cout << "Barrier[" << src.second << "]: " << nArcs + << " transicion(es) bloqueada(s)" << std::endl; + } + + for (int cid : cells) + { + // no combustible: via firebreakPlan, que es lo que re-aplica el reset + firebreakPlan[1].push_back(cid); + this->fTypeCells[cid - 1] = 0; + this->fTypeCells2[cid - 1] = "NonBurnable"; + this->statusCells[cid - 1] = 3; + // y barrera, para que el breaching pueda saltarla (con su tipo) + this->barrierCells[cid] = src.second; + if (src.second == "river") this->riverCells.insert(cid); + } + vecTotal += (int)cells.size(); + std::cout << "Barrier[" << src.second << "]: " << cells.size() << " celda(s) desde " + << src.first << " (" << (isPolygon ? "poligono, cobertura >= umbral" : "linea, celdas atravesadas") + << ")" << std::endl; + } + if (vecTotal > 0) + std::cout << "Barriers: " << vecTotal << " celda(s) vectoriales en total" << std::endl; + } + /* if (this->args.UseWeatherWeights) { @@ -349,7 +750,7 @@ Cell2Fire::Cell2Fire(arguments _args) : CSVForest(_args.InFolder + "fuels", " ") this->nonBurnableCells.clear(); this->burningCells.clear(); this->burntCells.clear(); - this->harvestCells.clear(); + this->firebreakCells.clear(); for (i = 0; i < this->statusCells.size(); i++) { if (this->statusCells[i] < 3) @@ -357,7 +758,46 @@ Cell2Fire::Cell2Fire(arguments _args) : CSVForest(_args.InFolder + "fuels", " ") else if (this->statusCells[i] == 4) this->nonBurnableCells.insert(i + 1); else if (this->statusCells[i] == 3) - this->harvestCells.insert(i + 1); + this->firebreakCells.insert(i + 1); + } + + // Fuga diagonal: dos celdas de barrera que solo se tocan en un vertice no cortan la + // propagacion 8-conectada, porque el fuego pasa por la diagonal que las cruza. Una + // linea de cortafuegos trazada en diagonal no detiene nada: en un caso de prueba de + // 11x11 con la antidiagonal completa marcada, el fuego alcanzaba igual las 25 celdas + // del otro lado. Las barreras dadas como geometria ya lo evitan porque bloquean + // arcos; las dadas por celda (--FirebreakCells, firebreakPlan) necesitan esto. + if (!this->firebreakCells.empty()) + { + int nDiag = 0; + for (int cid : this->firebreakCells) + { + const int r = (cid - 1) / this->cols, c = (cid - 1) % this->cols; + // solo las dos diagonales "hacia adelante": la simetrica la aporta la otra celda + const int dr[2] = { 1, 1 }, dc[2] = { 1, -1 }; + for (int k = 0; k < 2; ++k) + { + const int r2 = r + dr[k], c2 = c + dc[k]; + if (r2 < 0 || r2 >= this->rows || c2 < 0 || c2 >= this->cols) continue; + const int diagId = r2 * this->cols + c2 + 1; + if (!this->firebreakCells.count(diagId)) continue; + // las dos celdas que comparten ese vertice y no son barrera + const int a = r * this->cols + c2 + 1; + const int b = r2 * this->cols + c + 1; + if (this->firebreakCells.count(a) && this->firebreakCells.count(b)) continue; + // Ancho "infinito": no es un hueco que el fuego pueda saltar segun su + // longitud de llama, sino un paso que geometricamente no existe. Ningun + // --breach-factor ni --spot-factor debe habilitarlo. + const double INFRANQUEABLE = 1e9; + this->blockedArcs[arcKey(a, b)] = INFRANQUEABLE; + this->blockedArcs[arcKey(b, a)] = INFRANQUEABLE; + this->arcBarrierType[arcKey(a, b)] = "firebreak"; + this->arcBarrierType[arcKey(b, a)] = "firebreak"; + ++nDiag; + } + } + if (nDiag > 0) + std::cout << "Firebreak: " << nDiag << " cruce(s) diagonal(es) bloqueado(s)" << std::endl; } // POTENCIALMENTE AQUI ESTA MALO @@ -390,6 +830,56 @@ Cell2Fire::Cell2Fire(arguments _args) : CSVForest(_args.InFolder + "fuels", " ") { // DEBUGstd::cout << "\nWe have specific ignition points:" << std::endl; + // --- Modalidad B: puntos desde shapefile (--ignition-shp) ------------- + // Un punto = la ignicion de un anio, en el orden del archivo, igual que + // las filas de Ignitions.csv. Requiere que el .shp este en la CRS de la + // instancia (misma conversion que --river-shp). + bool ignitionsFromShp = false; + if (!this->args.IgnitionShp.empty()) + { + std::vector pts; + if (readShapefilePoints(this->args.IgnitionShp, pts)) + { + std::vector shpCells; + int outside = 0; + for (auto& q : pts) + { + int col = (int)((q.x - this->xllcorner) / this->cellSide); + int row = this->rows - 1 - (int)((q.y - this->yllcorner) / this->cellSide); + if (row >= 0 && row < this->rows && col >= 0 && col < this->cols) + shpCells.push_back(row * this->cols + col + 1); + else + ++outside; + } + if (outside > 0) + std::cout << "Ignition: " << outside << " punto(s) fuera del raster, descartados" + << std::endl; + if (shpCells.empty()) + { + throw std::runtime_error("Ignition: ningun punto de " + this->args.IgnitionShp + + " cae dentro del raster. Revisa que el .shp este en la CRS" + " de la instancia."); + } + IgnitionYears = (int)shpCells.size(); + args.TotalYears = std::min(args.TotalYears, IgnitionYears); + this->IgnitionPoints = shpCells; + ignitionsFromShp = true; + std::cout << "Ignition: " << shpCells.size() << " punto(s) desde " + << this->args.IgnitionShp << " (celda(s):"; + for (size_t k = 0; k < shpCells.size() && k < 10; ++k) std::cout << " " << shpCells[k]; + if (shpCells.size() > 10) std::cout << " ..."; + std::cout << ")" << std::endl; + } + else + { + throw std::runtime_error("Ignition: no se pudo leer " + this->args.IgnitionShp + + " (debe ser Point o MultiPoint en la CRS de la instancia)"); + } + } + + // --- Modalidad A: Ignitions.csv (por defecto) ------------------------- + if (!ignitionsFromShp) + { /* Ignition points */ std::string ignitionFile = args.InFolder + "Ignitions.csv"; std::string sep = ","; @@ -412,6 +902,7 @@ Cell2Fire::Cell2Fire(arguments _args) : CSVForest(_args.InFolder + "fuels", " ") // Ignition points this->IgnitionPoints = std::vector(IgnitionYears, 0); CSVIgnitions.parseIgnitionDF(this->IgnitionPoints, IgnitionsDF, IgnitionYears); + } // this->IgnitionSets = // std::vector>(this->IgnitionPoints.size()); this->IgnitionSets = std::vector>(this->args.TotalYears); @@ -511,6 +1002,99 @@ Cell2Fire::Cell2Fire(arguments _args) : CSVForest(_args.InFolder + "fuels", " ") } } + /* Active front: read a set of cells to ignite simultaneously (ActiveCells.csv) */ + if (this->args.ActiveFront) + { + this->ActiveFrontCells.clear(); + + // --- Modalidad B: frente desde shapefile (--active-front-shp) --------- + // Acepta PolyLine/Polygon (se rasteriza el trazado con muestreo denso, igual + // que --river-shp) o Point/MultiPoint (cada punto es una celda semilla). + // Un frente es naturalmente una linea; los puntos existen por comodidad. + // OJO con Polygon: se rasteriza el ANILLO, no el interior relleno. + bool frontFromShp = false; + if (!this->args.ActiveFrontShp.empty()) + { + std::set cells; // set: el muestreo denso repite celdas + std::vector parts; + std::vector pts; + const char* kind = nullptr; + + if (readShapefileParts(this->args.ActiveFrontShp, parts)) + { + kind = "linea(s)"; + double step = this->cellSide * 0.5; + for (auto& part : parts) + { + for (size_t s = 0; s + 1 < part.size(); ++s) + { + double x0 = part[s].x, y0 = part[s].y, x1 = part[s + 1].x, y1 = part[s + 1].y; + double seg = std::sqrt((x1 - x0) * (x1 - x0) + (y1 - y0) * (y1 - y0)); + int nstep = std::max(1, (int)std::ceil(seg / step)); + for (int t = 0; t <= nstep; ++t) + { + double x = x0 + (x1 - x0) * t / nstep; + double y = y0 + (y1 - y0) * t / nstep; + int col = (int)((x - this->xllcorner) / this->cellSide); + int row = this->rows - 1 - (int)((y - this->yllcorner) / this->cellSide); + if (row >= 0 && row < this->rows && col >= 0 && col < this->cols) + cells.insert(row * this->cols + col + 1); + } + } + } + } + else if (readShapefilePoints(this->args.ActiveFrontShp, pts)) + { + kind = "punto(s)"; + for (auto& q : pts) + { + int col = (int)((q.x - this->xllcorner) / this->cellSide); + int row = this->rows - 1 - (int)((q.y - this->yllcorner) / this->cellSide); + if (row >= 0 && row < this->rows && col >= 0 && col < this->cols) + cells.insert(row * this->cols + col + 1); + } + } + else + { + throw std::runtime_error("Active front: no se pudo leer " + this->args.ActiveFrontShp + + " (debe ser PolyLine/Polygon o Point/MultiPoint)"); + } + + if (cells.empty()) + { + throw std::runtime_error("Active front: ninguna celda de " + this->args.ActiveFrontShp + + " cae dentro del raster. Revisa que el .shp este en la CRS" + " de la instancia."); + } + this->ActiveFrontCells.assign(cells.begin(), cells.end()); + frontFromShp = true; + std::cout << "Active front: " << this->ActiveFrontCells.size() << " celda(s) desde " + << this->args.ActiveFrontShp << " (" << kind << ")" << std::endl; + } + + // --- Modalidad A: ActiveCells.csv (por defecto) ----------------------- + if (!frontFromShp) + { + std::string sepAF = ","; + std::string activeFile = args.InFolder + "ActiveCells.csv"; + CSVReader CSVActive(activeFile, sepAF); + std::vector> ActiveDF = CSVActive.getData(activeFile); + for (size_t rr = 1; rr < ActiveDF.size(); ++rr) // skip header row + { + if (ActiveDF[rr].size() >= 2 && !ActiveDF[rr][1].empty()) + this->ActiveFrontCells.push_back(std::stoi(ActiveDF[rr][1])); + } + } + if (!this->ActiveFrontCells.empty()) + { + this->args.TotalYears = 1; // the front is a single scenario + this->IgnitionPoints = std::vector(1, this->ActiveFrontCells[0]); + this->IgnitionSets = std::vector>(1); + std::cout << "Active front: " << this->ActiveFrontCells.size() + << " seed cells will ignite simultaneously" << std::endl; + } + } + /* BBO Tuning factors (only the ones present in the instances*/ if (this->args.BBOTuning) { @@ -693,7 +1277,7 @@ Cell2Fire::reset(int rnumber, double rnumber2, int simExt = 1) } // Crown Byram Intensity Folder if ((this->args.OutIntensity) && (this->args.AllowCROS) - && ((this->args.Simulator == "S") || this->args.Simulator == "P")) + && ((this->args.Simulator == "S") || this->args.Simulator == "P" || this->args.Simulator == "K")) { this->crownIntensityFolder = Cell2Fire::createOutputFolder("CrownIntensity"); } @@ -703,12 +1287,12 @@ Cell2Fire::reset(int rnumber, double rnumber2, int simExt = 1) this->surfaceFlameLengthFolder = Cell2Fire::createOutputFolder("SurfaceFlameLength"); } // Crown Flame Length Folder - if ((this->args.OutFl) && (this->args.AllowCROS) && ((this->args.Simulator == "S") || this->args.Simulator == "P")) + if ((this->args.OutFl) && (this->args.AllowCROS) && ((this->args.Simulator == "S") || this->args.Simulator == "P" || this->args.Simulator == "K")) { this->crownFlameLengthFolder = Cell2Fire::createOutputFolder("CrownFlameLength"); } // max Flame Length Folder - if ((this->args.OutFl) && (this->args.AllowCROS) && ((this->args.Simulator == "S") || this->args.Simulator == "P")) + if ((this->args.OutFl) && (this->args.AllowCROS) && ((this->args.Simulator == "S") || this->args.Simulator == "P" || this->args.Simulator == "K")) { this->maxFlameLengthFolder = Cell2Fire::createOutputFolder("MaxFlameLength"); } @@ -777,10 +1361,10 @@ Cell2Fire::reset(int rnumber, double rnumber2, int simExt = 1) this->nonBurnableCells.clear(); this->burningCells.clear(); this->burntCells.clear(); - this->harvestCells.clear(); + this->firebreakCells.clear(); - // Harvest Cells - for (auto it = HarvestedCells.begin(); it != HarvestedCells.end(); it++) + // Firebreak Cells + for (auto it = firebreakPlan.begin(); it != firebreakPlan.end(); it++) { for (auto& it2 : it->second) { @@ -797,13 +1381,13 @@ Cell2Fire::reset(int rnumber, double rnumber2, int simExt = 1) else if (this->statusCells[i] == 4) this->nonBurnableCells.insert(i + 1); else if (this->statusCells[i] == 3) - this->harvestCells.insert(i + 1); + this->firebreakCells.insert(i + 1); } // Print-out sets information if (this->args.verbose) { - printSets(this->availCells, this->nonBurnableCells, this->burningCells, this->burntCells, this->harvestCells); + printSets(this->availCells, this->nonBurnableCells, this->burningCells, this->burntCells, this->firebreakCells); } } @@ -1047,8 +1631,48 @@ Cell2Fire::RunIgnition(boost::random::mt19937 generator, int ep) if (this->args.verbose) { printSets( - this->availCells, this->nonBurnableCells, this->burningCells, this->burntCells, this->harvestCells); + this->availCells, this->nonBurnableCells, this->burningCells, this->burntCells, this->firebreakCells); + } + } + + // --- Active front: ignite all remaining seed cells simultaneously --- + if (this->args.ActiveFront) + { + bool anyAF = false; + for (size_t k = 0; k < this->ActiveFrontCells.size(); ++k) + { + int fc = this->ActiveFrontCells[k]; + if (fc < 1 || fc > this->nCells) + continue; + if (this->burntCells.find(fc) != this->burntCells.end()) // already lit (e.g. first cell) + { + anyAF = true; + continue; + } + if (this->statusCells[fc - 1] >= 3) // non-burnable / firebreak / firebreak + continue; + if (this->Cells_Obj.find(fc) == this->Cells_Obj.end()) + InitCell(fc); + std::unordered_map::iterator itf = this->Cells_Obj.find(fc); + if (itf->second.getStatus() != "Available" || itf->second.fType == 0) + continue; + std::vector ipf = { fc }; + if (itf->second.ignition(this->fire_period[this->year - 1], + this->year, ipf, &df[fc - 1], + this->coef_ptr, this->args_ptr, + &(this->wdf[this->weatherPeriod]), + this->activeCrown, this->perimeterCells)) + { + this->statusCells[fc - 1] = 1; + this->nIgnitions++; + this->burningCells.insert(fc); + this->burntCells.insert(fc); + this->availCells.erase(fc); + anyAF = true; + } } + if (anyAF) + this->noIgnition = false; } // Plotter placeholder @@ -1140,7 +1764,7 @@ Cell2Fire::RunIgnition(boost::random::mt19937 generator, int ep) * - Prints detailed logs of the fire progress and messages sent by each * burning cell. * - Outputs the current fire period, sets of cells (available, non-burnable, - * burning, burnt, harvested), and fire message details. + * burning, burnt, firebreak), and fire message details. * * ### Warning: * - A warning is issued if the fire period approaches the maximum allowed @@ -1175,7 +1799,7 @@ Cell2Fire::SendMessages() "Ignition ----------------------" << std::endl; std::cout << "Current Fire Period:" << this->fire_period[this->year - 1] << std::endl; - printSets(this->availCells, this->nonBurnableCells, this->burningCells, this->burntCells, this->harvestCells); + printSets(this->availCells, this->nonBurnableCells, this->burningCells, this->burntCells, this->firebreakCells); } /* @@ -1270,6 +1894,39 @@ Cell2Fire::SendMessages() // If message and not a true flag if (aux_list.size() > 0 && aux_list[0] != -100) { + // ---- Filtro de aristas bloqueadas por barreras vectoriales ---------- + // Se descarta el paso a la vecina cuando el segmento centro-a-centro + // cruza la geometria de una barrera. Sin modelo de cruce esto detiene el + // fuego siempre, sea el rasgo de 5 m o de 100, y sin fugas diagonales. + // Con --breach-factor/--spot-factor se permite si el alcance supera el + // ancho cruzado, que sale de la geometria y no de contar celdas. + if (!this->blockedArcs.empty()) + { + const int fromId = it->second.realId; + double L = this->maxFlameLengths[fromId - 1]; + if (L <= 0.0) L = this->surfaceFlameLengths[fromId - 1]; + const double U_ms = this->wdf[this->weatherPeriod].ws / 3.6; + const double reach = std::max(this->args.BreachFactor * L, + this->args.SpotFactor * L * U_ms); + std::vector keep; + keep.reserve(aux_list.size()); + for (int to : aux_list) + { + auto ba = this->blockedArcs.find(this->arcKey(fromId, to)); + if (ba == this->blockedArcs.end() || reach >= ba->second) + keep.push_back(to); + else if (this->args.verbose) + std::cout << " barrera bloquea " << fromId << " -> " << to + << " (ancho " << ba->second << " m, alcance " << reach + << " m)" << std::endl; + } + aux_list.swap(keep); + if (aux_list.empty()) + { + this->burnedOutList.push_back(fromId); + continue; + } + } if (this->args.verbose) std::cout << "\nList is not empty" << std::endl; this->messagesSent = true; @@ -1316,8 +1973,99 @@ Cell2Fire::SendMessages() this->burningCells.erase(bc); } } + // ============ CRUCE DE BARRERA: BREACHING (Prometheus) + SPOTTING (Albini) ============ + // Una celda ardiendo puede cruzar una barrera no-quemable a favor del viento por: + // - Breaching (contacto de llama): R_breach = BreachFactor * FL (barreras angostas) + // - Spotting (lofting de pavesas): d_spot = SpotFactor * FL * U_ms (barreras anchas) + // Cruza si max(R_breach, d_spot) >= W (ancho de la barrera). Determinista. + // Si la barrera cruzada incluye celdas-rio (--river-shp), se registra el evento. + if (this->args.BreachFactor > 0.0 || this->args.SpotFactor > 0.0) + { + double waz = this->wdf[this->weatherPeriod].waz; // rumbo a favor del viento (compass) + double U_ms = this->wdf[this->weatherPeriod].ws / 3.6; // viento en m/s (ws en km/h) + double dr = -std::cos(waz * M_PI / 180.0); + double dc = std::sin(waz * M_PI / 180.0); + std::vector> crossings; // (origen, objetivo) + std::unordered_set src = this->burningCells; + for (auto& b : this->burnedOutList) src.insert(b); + for (auto& bc : src) + { + int id = bc; + double L = this->maxFlameLengths[id - 1]; // llama efectiva = max(copa, superficie) - compartido por todos los kernels + if (L <= 0.0) L = this->surfaceFlameLengths[id - 1]; + if (L <= 0.0 && this->args.Simulator == "K") // fallback KITRAL (usa arrays de KITRAL): solo --sim K + L = flame_length_from_ros(&df[id - 1], this->RateOfSpreads[id - 1]); + if (L <= 0.0) continue; + double R_breach = this->args.BreachFactor * L; + double d_spot = this->args.SpotFactor * L * U_ms; + double reach = std::max(R_breach, d_spot); // alcance total (m) + if (reach <= 0.0) continue; + int r0 = (id - 1) / this->cols; + int c0 = (id - 1) % this->cols; + // paso 1: barrera inmediata a favor del viento (no-quemable o rio) + int r1 = (int)std::round(r0 + dr); + int c1 = (int)std::round(c0 + dc); + if (r1 < 0 || r1 >= this->rows || c1 < 0 || c1 >= this->cols) continue; + int nid = r1 * this->cols + c1 + 1; + // Barrera = no quemable, cortafuegos, o cualquier capa vectorial cargada. + // OJO: firebreakCells (cortafuegos) NO estaba incluido antes, asi que el + // breaching nunca cruzaba un cortafuegos -- justo el caso de uso central + // (dimensionar su ancho). Incluirlo cambia resultados cuando se combinan + // cortafuegos con --breach-factor/--spot-factor. + bool barrier = (this->nonBurnableCells.find(nid) != this->nonBurnableCells.end()) + || (this->firebreakCells.find(nid) != this->firebreakCells.end()) + || (this->barrierCells.find(nid) != this->barrierCells.end()); + if (!barrier) continue; + // caminar la barrera hasta la 1a celda quemable, midiendo W y el tipo cruzado + int maxSteps = (int)std::ceil(reach / this->cellSide) + 2; + int target = -1; double W = 0.0; bool crossedRiver = false; + std::string crossedType = "barrier"; + // El vecino inmediato (s=1) se evalua aqui, fuera del bucle de abajo. Sin + // esto, una barrera de UNA celda nunca fijaba el tipo y el cruce quedaba + // atribuido como "barrier" generico (o no se registraba). + { + auto b1 = this->barrierCells.find(nid); + if (b1 != this->barrierCells.end()) { crossedRiver = true; crossedType = b1->second; } + } + for (int s = 2; s <= maxSteps; ++s) + { + int rr = (int)std::round(r0 + dr * s); + int cc = (int)std::round(c0 + dc * s); + if (rr < 0 || rr >= this->rows || cc < 0 || cc >= this->cols) break; + int cid = rr * this->cols + cc + 1; + auto bIt = this->barrierCells.find(cid); + if (bIt != this->barrierCells.end()) { crossedRiver = true; crossedType = bIt->second; } + if (this->nonBurnableCells.find(cid) != this->nonBurnableCells.end() + || this->firebreakCells.find(cid) != this->firebreakCells.end() + || bIt != this->barrierCells.end()) + continue; // sigue en la barrera + W = (s - 1) * this->cellSide; // ancho cruzado (m) + if (this->availCells.find(cid) != this->availCells.end()) target = cid; + break; + } + if (target > 0 && reach >= W) + { + crossings.push_back(std::make_pair(id, target)); + const char* mech = (d_spot >= W) ? "spotting" : "breaching"; + if (crossedRiver || this->args.verbose) + this->riverCrossingLog.push_back( + std::to_string(this->weatherPeriod) + "," + std::to_string(id) + "," + + std::to_string(target) + "," + mech + "," + std::to_string(W) + "," + + std::to_string(L) + "," + std::to_string(reach) + "," + + crossedType); + } + } + for (auto& cr : crossings) + { + sendMessageList[cr.first].push_back(cr.second); + this->messagesSent = true; + } + if (this->args.verbose && !crossings.empty()) + std::cout << "Cruce de barrera: " << crossings.size() << " evento(s)" << std::endl; + } + if (this->args.verbose) - printSets(this->availCells, this->nonBurnableCells, this->burningCells, this->burntCells, this->harvestCells); + printSets(this->availCells, this->nonBurnableCells, this->burningCells, this->burntCells, this->firebreakCells); return sendMessageList; } @@ -1356,7 +2104,7 @@ Cell2Fire::SendMessages() * - Logs detailed information about fire messages, ignition, and cell state * transitions. * - Prints the current state of cell sets (available, non-burnable, burning, - * burnt, harvested). + * burnt, firebreak). * * ### Weather Updates: * - Calls `updateWeather` to apply weather conditions for the next fire @@ -1377,7 +2125,7 @@ Cell2Fire::GetMessages(const std::unordered_map>& sendMess "messages from Ignition ----------------------" << std::endl; std::cout << "Current Fire Period: " << this->fire_period[this->year - 1] << std::endl; - printSets(this->availCells, this->nonBurnableCells, this->burningCells, this->burntCells, this->harvestCells); + printSets(this->availCells, this->nonBurnableCells, this->burningCells, this->burntCells, this->firebreakCells); } // Conditions depending on number of messages and repeatFire flag @@ -1424,7 +2172,7 @@ Cell2Fire::GetMessages(const std::unordered_map>& sendMess this->burningCells.clear(); if (this->args.verbose) printSets( - this->availCells, this->nonBurnableCells, this->burningCells, this->burntCells, this->harvestCells); + this->availCells, this->nonBurnableCells, this->burningCells, this->burntCells, this->firebreakCells); } // Mesages and no repeat @@ -1567,7 +2315,7 @@ Cell2Fire::GetMessages(const std::unordered_map>& sendMess if (this->args.verbose) { printSets( - this->availCells, this->nonBurnableCells, this->burningCells, this->burntCells, this->harvestCells); + this->availCells, this->nonBurnableCells, this->burningCells, this->burntCells, this->firebreakCells); } /* @@ -1695,7 +2443,7 @@ Cell2Fire::Results() float ACells = this->availCells.size(); float BCells = this->burntCells.size(); float NBCells = this->nonBurnableCells.size(); - float HCells = this->harvestCells.size(); + float HCells = this->firebreakCells.size(); std::cout << "\nSimulation " << this->sim << " Results:\n" << "\t" << std::left << std::setw(16) << "Cell Status" << std::right << std::setw(12) << "Count" @@ -1730,6 +2478,18 @@ Cell2Fire::Results() outputGrid(); } + // Log de cruces de barrera/rio (breaching + spotting) + if (!this->riverCrossingLog.empty() && !this->args.OutFolder.empty()) + { + std::string rcName = this->args.OutFolder + "RiverCrossings" + std::to_string(this->sim) + ".csv"; + std::ofstream rc(rcName); + rc << "weatherPeriod,sourceCell,targetCell,mechanism,widthM,flameLenM,reachM,type\n"; + for (auto& line : this->riverCrossingLog) rc << line << "\n"; + rc.close(); + std::cout << "RiverCrossings: " << this->riverCrossingLog.size() + << " evento(s) -> " << rcName << std::endl; + } + // Messages if (this->args.OutMessages) { @@ -1786,7 +2546,7 @@ Cell2Fire::Results() // Crown Intensity if ((this->args.OutIntensity) && (this->args.AllowCROS) - && ((this->args.Simulator == "S") || this->args.Simulator == "P")) + && ((this->args.Simulator == "S") || this->args.Simulator == "P" || this->args.Simulator == "K")) { this->crownIntensityFolder = this->args.OutFolder + "CrownIntensity" + separator(); std::string intensityName; @@ -1822,7 +2582,7 @@ Cell2Fire::Results() } // Crown Flame length - if ((this->args.OutFl) && (this->args.AllowCROS) && ((this->args.Simulator == "S") || this->args.Simulator == "P")) + if ((this->args.OutFl) && (this->args.AllowCROS) && ((this->args.Simulator == "S") || this->args.Simulator == "P" || this->args.Simulator == "K")) { this->crownFlameLengthFolder = this->args.OutFolder + "CrownFlameLength" + separator(); std::string fileName; @@ -1840,7 +2600,7 @@ Cell2Fire::Results() } // Max Flame length - if ((this->args.OutFl) && (this->args.AllowCROS) && ((this->args.Simulator == "S") || this->args.Simulator == "P")) + if ((this->args.OutFl) && (this->args.AllowCROS) && ((this->args.Simulator == "S") || this->args.Simulator == "P" || this->args.Simulator == "K")) { this->maxFlameLengthFolder = this->args.OutFolder + "MaxFlameLength" + separator(); std::string fileName; @@ -1936,7 +2696,7 @@ Cell2Fire::Results() * @brief Outputs the current state of the forest grid to a CSV file. * * This method generates a binary representation of the forest grid, with cell - * statuses indicating their condition (burning, burnt, harvested, etc.) during + * statuses indicating their condition (burning, burnt, firebreak, etc.) during * the simulation. The file is saved with a unique name in the designated * output folder. * @@ -1945,7 +2705,7 @@ Cell2Fire::Results() * - Updates a vector (`statusCells2`) to reflect the current statuses of * cells: * - `1` for burning or burnt cells. - * - `-1` for harvested cells. + * - `-1` for firebreak cells. * - `0` for all other cells. * - **File Naming**: * - Constructs a file name based on the simulation's `gridNumber` and saves @@ -1990,7 +2750,7 @@ Cell2Fire::outputGrid() { statusCells2[ac - 1] = 1; } - for (auto& hc : this->harvestCells) + for (auto& hc : this->firebreakCells) { statusCells2[hc - 1] = -1; } @@ -2108,7 +2868,7 @@ Cell2Fire::Step(boost::random::mt19937 generator, int ep) std::cout << "Fire Period: " << this->fire_period[this->year - 1] << std::endl; std::cout << "WeatherPeriod: " << this->weatherPeriod << std::endl; std::cout << "MaxFirePeriods: " << this->totalFirePeriods << std::endl; - printSets(this->availCells, this->nonBurnableCells, this->burningCells, this->burntCells, this->harvestCells); + printSets(this->availCells, this->nonBurnableCells, this->burningCells, this->burntCells, this->firebreakCells); std::cout << "********************************************" << std::endl; } // One step (one fire period, ignition - if needed -, sending messages and @@ -2348,11 +3108,6 @@ main(int argc, char* argv[]) } else if (args.Simulator == "S") { - initialize_coeff(args.scenario); - } - else if (args.Simulator == "P") - { - initialize_coeff_p(args.scenario); } if (args.UseWeatherWeights) { diff --git a/Cell2Fire/Cell2Fire.h b/Cell2Fire/Cell2Fire.h index fecd1d84..c7ed4463 100644 --- a/Cell2Fire/Cell2Fire.h +++ b/Cell2Fire/Cell2Fire.h @@ -4,8 +4,8 @@ // Headers #include "Cells.h" #include "DataGenerator.h" -#include "FuelModelKitral.h" -#include "FuelModelSpain.h" +#include "KitralKernel.h" +#include "ScottAndBurganKernel.h" #include "FuelModelUtils.h" #include "Lightning.h" #include "ReadArgs.h" @@ -30,7 +30,12 @@ #include using namespace std; -string C2FW_VERSION = "v0.0.0"; +// Version: se puede inyectar desde el makefile con -DC2FW_VERSION_STR='"vX.Y.Z"' +// (el makefile la deriva de `git describe` si hay tags, si no usa el default). +#ifndef C2FW_VERSION_STR +#define C2FW_VERSION_STR "v2.0.0" +#endif +string C2FW_VERSION = C2FW_VERSION_STR; string sim_log_filename = "ignition_and_weather_log.csv"; class Cell2Fire @@ -103,6 +108,7 @@ class Cell2Fire std::vector fTypeCells2; // (long int&, const char [9]); std::vector> WeatherData; std::vector IgnitionPoints; + std::vector ActiveFrontCells; // seed cells of an active front vector burnedOutList; std::vector FSCell; std::vector crownMetrics; @@ -121,9 +127,23 @@ class Cell2Fire // Sets std::unordered_set availCells; std::unordered_set nonBurnableCells; + std::unordered_set riverCells; // celdas atravesadas por el rio (--river-shp) + // Barreras lineales genericas: union de rios, caminos, cortafuegos vectoriales, etc. + // El tipo sale del nombre del archivo (Barriers/roads.shp -> "roads") y solo se usa + // para atribuir el cruce en RiverCrossings*.csv; el comportamiento es el mismo. + std::unordered_map barrierCells; + // Aristas bloqueadas por una barrera vectorial: clave = origen*nCells + destino. + // El bloqueo va en la TRANSICION, no en la celda: asi un rio de 10 m detiene el + // fuego igual que uno de 100, y no hay fugas diagonales (una barrera de una celda + // de ancho no bloquea propagacion de 8 vecinos si solo se eliminan celdas). + // El valor es el ancho de barrera cruzado en metros, que usa el breaching como W. + std::unordered_map blockedArcs; + std::unordered_map arcBarrierType; + inline long long arcKey(int from, int to) const { return (long long)from * this->nCells + to; } + std::vector riverCrossingLog; // registro de cruces de rio std::unordered_set burningCells; std::unordered_set burntCells; - std::unordered_set harvestCells; + std::unordered_set firebreakCells; // Cells Dictionary std::unordered_map Cells_Obj; diff --git a/Cell2Fire/Cell2Fire.vcxproj b/Cell2Fire/Cell2Fire.vcxproj index a842052d..57c37565 100644 --- a/Cell2Fire/Cell2Fire.vcxproj +++ b/Cell2Fire/Cell2Fire.vcxproj @@ -1,169 +1,167 @@ - - - - - Debug - Win32 - - - Release - Win32 - - - Debug - x64 - - - Release - x64 - - - - 17.0 - {051FD94B-D4FC-4BDA-9AF4-9551628A6952} - Win32Proj - 10.0 - - - - Application - true - v143 - - - Application - false - v143 - - - Application - true - v143 - - - Application - false - v143 - - - - - - - - - - - - - - - - - - - - - true - true - x64-windows - x64-windows - - - true - - - true - - - $(SolutionDir)$(Platform)\$(Configuration)\ - - - - WIN32;_DEBUG;_WINDOWS;%(PreprocessorDefinitions) - MultiThreadedDebugDLL - Level3 - ProgramDatabase - Disabled - - - MachineX86 - true - Windows - - - - - WIN32;NDEBUG;_WINDOWS;%(PreprocessorDefinitions) - MultiThreadedDLL - Level3 - ProgramDatabase - - - MachineX86 - true - Windows - true - true - - - - - .\vcpkg_installed\x64-windows\include - _USE_MATH_DEFINES - stdcpp14 - true - - - Console - %(AdditionalLibraryDirectories) - - - - - .\vcpkg_installed\x64-windows\include - _USE_MATH_DEFINES - stdcpp14 - true - - - Console - %(AdditionalDependencies) - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + + + + Debug + Win32 + + + Release + Win32 + + + Debug + x64 + + + Release + x64 + + + + 17.0 + {051FD94B-D4FC-4BDA-9AF4-9551628A6952} + Win32Proj + 10.0 + + + + Application + true + v143 + + + Application + false + v143 + + + Application + true + v143 + + + Application + false + v143 + + + + + + + + + + + + + + + + + + + + + true + true + x64-windows + x64-windows + + + true + + + true + + + $(SolutionDir)$(Platform)\$(Configuration)\ + + + + WIN32;_DEBUG;_WINDOWS;NOMINMAX;%(PreprocessorDefinitions) + MultiThreadedDebugDLL + Level3 + ProgramDatabase + Disabled + + + MachineX86 + true + Windows + + + + + WIN32;NDEBUG;_WINDOWS;NOMINMAX;%(PreprocessorDefinitions) + MultiThreadedDLL + Level3 + ProgramDatabase + + + MachineX86 + true + Windows + true + true + + + + + .\vcpkg_installed\x64-windows\include + _USE_MATH_DEFINES + stdcpp14 + true + + + Console + %(AdditionalLibraryDirectories) + + + + + .\vcpkg_installed\x64-windows\include + _USE_MATH_DEFINES + stdcpp14 + true + + + Console + %(AdditionalDependencies) + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/Cell2Fire/Cell2Fire.vcxproj.filters b/Cell2Fire/Cell2Fire.vcxproj.filters index 0716cc2a..4ec01e76 100644 --- a/Cell2Fire/Cell2Fire.vcxproj.filters +++ b/Cell2Fire/Cell2Fire.vcxproj.filters @@ -1,105 +1,99 @@ - - - - - {4FC737F1-C7A5-4376-A066-2A32D752A2FF} - cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx - - - {93995380-89BD-4b04-88EB-625FBE52EBFB} - h;hh;hpp;hxx;hm;inl;inc;xsd - - - {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} - rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav - - - - - Source Files - - - Source Files - - - Source Files - - - Source Files - - - Source Files - - - Source Files - - - Source Files - - - Source Files - - - Source Files - - - Source Files - - - Source Files - - - Source Files - - - Source Files - - - Source Files - - - - - Header Files - - - Header Files - - - Header Files - - - Header Files - - - Header Files - - - Header Files - - - Header Files - - - Header Files - - - Header Files - - - Header Files - - - Header Files - - - Header Files - - - Header Files - - - Header Files - - + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hh;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav + + + + + Source Files + + + Source Files + + + Source Files + + + Source Files + + + Source Files + + + Source Files + + + Source Files + + + Source Files + + + Source Files + + + Source Files + + + Source Files + + + Source Files + + + Source Files + + + + + Header Files + + + Header Files + + + Header Files + + + Header Files + + + Header Files + + + Header Files + + + Header Files + + + Header Files + + + Header Files + + + Header Files + + + Header Files + + + Header Files + + + Header Files + + \ No newline at end of file diff --git a/Cell2Fire/Cells.cpp b/Cell2Fire/Cells.cpp index 45213b97..47c92a89 100644 --- a/Cell2Fire/Cells.cpp +++ b/Cell2Fire/Cells.cpp @@ -1,9 +1,8 @@ // Include classes #include "Cells.h" -#include "FuelModelFBP.h" -#include "FuelModelKitral.h" -#include "FuelModelPortugal.h" -#include "FuelModelSpain.h" +#include "CanadianFBPKernel.h" +#include "KitralKernel.h" +#include "ScottAndBurganKernel.h" #include "ReadArgs.h" #include "ReadCSV.h" #include "Spotting.h" @@ -40,7 +39,7 @@ using namespace std; * @param _fType2 The secondary fuel type as a descriptive string. * @param _perimeter The perimeter of the cell. * @param _status The fire status of the cell (0: Available, 1: Burning, 2: - * Burnt, 3: Harvested, 4: Non Fuel). + * Burnt, 3: Firebreak, 4: Non Fuel). * @param _realId Alternative identifier of the cell (1 to size of the * landscape). */ @@ -54,12 +53,12 @@ Cells::Cells(int _id, int _realId) { // Global "dictionaries" (vectors) for status and types - // Status: 0: "Available", 1: "Burning", 2: "Burnt", 3: "Harvested", 4:"Non + // Status: 0: "Available", 1: "Burning", 2: "Burnt", 3: "Firebreak", 4:"Non // Fuel" this->StatusD[0] = "Available"; this->StatusD[1] = "Burning"; this->StatusD[2] = "Burnt"; - this->StatusD[3] = "Harvested"; + this->StatusD[3] = "Firebreak"; this->StatusD[4] = "Non Fuel"; // FTypeD: 0: "NonBurnable", 1: "Normal", 2: "Burnable @@ -91,7 +90,7 @@ Cells::Cells(int _id, this->hPeriod = 0; this->fireStarts = 0; - this->harvestStarts = 0; + this->firebreakStarts = 0; this->fireStartsSeason = 0; this->tYears = 4; @@ -500,7 +499,7 @@ Cells::manageFire(int period, else if (args->Simulator == "P") { - calculate_p(&df_ptr[this->realId - 1], + calculate_s(&df_ptr[this->realId - 1], coef, args, &mainstruct, @@ -559,6 +558,8 @@ Cells::manageFire(int period, // Adjusting from Spanish forests angle cartesianAngle = wdf_ptr->waz; + if (args->Simulator == "S" || args->Simulator == "K") + cartesianAngle = mainstruct.raz; // FARSITE/KITRAL: dir. resultante viento+pendiente double offset = cartesianAngle + 270; cartesianAngle = 360 - (offset >= 360) * (cartesianAngle - 90) - (offset < 360) * offset; if (cartesianAngle == 360) @@ -587,7 +588,13 @@ Cells::manageFire(int period, // If cell cannot send (thresholds), then it will be burned out in the main // loop - double HROS = (1 + args->ROSCV * ROSRV) * headstruct.ros * args->HFactor; + // Factor de ajuste por tipo de combustible (FARSITE fuel adjustment factor): + // multiplica el ROS de forma uniforme, sin deformar la elipse. Se aplica tanto al + // ROS de cabeza que decide si la celda propaga como a la distribucion angular, de + // modo que un factor de 3 triplique la velocidad en todas las direcciones. + const double fuelAdj = fuelAdjOf(df_ptr[this->realId - 1].nftype); + + double HROS = (1 + args->ROSCV * ROSRV) * headstruct.ros * args->HFactor * fuelAdj; // Extra debug step for sanity checks if (args->verbose) @@ -614,7 +621,7 @@ Cells::manageFire(int period, mainstruct.a * args->HFactor, mainstruct.b * args->FFactor, mainstruct.c * args->BFactor, - args->EFactor); + args->EFactor * fuelAdj); // std::cout << "Sale de Ros Dist" << std::endl; // Fire progress using ROS from burning cell, not the neighbors // @@ -637,19 +644,18 @@ Cells::manageFire(int period, { std::cout << " (angle, realized ros in m/min): (" << angle << ", " << ros << ")" << std::endl; } - if (args->Simulator == "S" || args->Simulator == "P") + if (args->Simulator == "P") { - // Slope effect + // Portugal: mantiene su efecto de pendiente pareado (lineal entre celdas) float se = slope_effect(df_ptr[this->realId - 1].elev, df_ptr[nb - 1].elev, this->perimeter / 4.); if (args->verbose) { std::cout << "Slope effect: " << se << std::endl; } - - // Workaround PeriodLen in 60 minutes this->fireProgress[nb] += ros * args->FirePeriodLen * se; // Updates fire progress } else + // S&B (FARSITE): la pendiente ya está en ROS de cabeza + dirección (raz) this->fireProgress[nb] += ros * args->FirePeriodLen; // If the message arrives to the adjacent cell's center, send a @@ -675,7 +681,7 @@ Cells::manageFire(int period, } else if (args->Simulator == "P") { - determine_destiny_metrics_p(&df_ptr[int(nb) - 1], coef, args, &metrics, wdf_ptr); + determine_destiny_metrics_s(&df_ptr[int(nb) - 1], coef, args, &metrics, wdf_ptr); } crownState[this->realId - 1] = mainstruct.crown; crownState[nb - 1] = metrics.crown; @@ -689,7 +695,7 @@ Cells::manageFire(int period, surfFraction[nb] = metrics.sfc; SurfaceFlameLengths[this->realId - 1] = mainstruct.fl; SurfaceFlameLengths[nb - 1] = metrics.fl; - if ((args->AllowCROS) && (args->Simulator == "S" || args->Simulator == "P")) + if ((args->AllowCROS) && (args->Simulator == "S" || args->Simulator == "P" || args->Simulator == "K")) { float comp_zero = 0; MaxFlameLengths[this->realId - 1] @@ -850,7 +856,7 @@ Cells::manageFireBBO(int period, } else if (args->Simulator == "P") { - calculate_p(&df_ptr[this->realId - 1], + calculate_s(&df_ptr[this->realId - 1], coef, args, &mainstruct, @@ -905,6 +911,8 @@ Cells::manageFireBBO(int period, // Adjusting from Spanish forests angle cartesianAngle = wdf_ptr->waz; + if (args->Simulator == "S" || args->Simulator == "K") + cartesianAngle = mainstruct.raz; // FARSITE/KITRAL: dir. resultante viento+pendiente double offset = cartesianAngle + 270; cartesianAngle = 360 - (offset >= 360) * (cartesianAngle - 90) - (offset < 360) * offset; if (cartesianAngle == 360) @@ -1011,7 +1019,7 @@ Cells::manageFireBBO(int period, } else if (args->Simulator == "P") { - determine_destiny_metrics_p(&df_ptr[int(nb) - 1], coef, args, &metrics, wdf_ptr); + determine_destiny_metrics_s(&df_ptr[int(nb) - 1], coef, args, &metrics, wdf_ptr); } crownState[this->realId - 1] = mainstruct.crown; crownState[nb - 1] = metrics.crown; @@ -1171,7 +1179,7 @@ Cells::get_burned(int period, } else if (args->Simulator == "P") { - calculate_p(&(df[this->id]), + calculate_s(&(df[this->id]), coef, args, &mainstruct, @@ -1218,7 +1226,7 @@ Cells::get_burned(int period, /** * @brief Sets a cell's fire status (0: Available, 1: Burning, 2: Burnt, 3: - * Harvested, 4: Non Fuel). + * Firebreak, 4: Non Fuel). * @param status_int Code for new status. */ void @@ -1347,7 +1355,7 @@ Cells::ignition(int period, } else if (args->Simulator == "P") { - calculate_p(&df_ptr[this->realId - 1], + calculate_s(&df_ptr[this->realId - 1], coef, args, &mainstruct, @@ -1394,11 +1402,11 @@ Cells::ignition(int period, period int */ void -Cells::harvested(int id, int period) +Cells::firebreak(int id, int period) { // TODO: unused param this->status = 3; - this->harvestStarts = period; + this->firebreakStarts = period; } /* diff --git a/Cell2Fire/Cells.h b/Cell2Fire/Cells.h index 2ecb4723..0dd90623 100644 --- a/Cell2Fire/Cells.h +++ b/Cell2Fire/Cells.h @@ -21,6 +21,8 @@ typedef struct float ws, waz, rh, tmp, apcp, ffmc, dmc, dc, isi, bui, fwi; // David: some variables only used on C2FK and not on C2FSB and // viceversa + float m1h, m10h, m100h, mlh, mlw; // continuous fuel moisture (fraction) for S&B Rothermel + float doy, hour; // day-of-year y hora (solar/reloj) para humedad espacial Modo 2 } weatherDF; // David: Moved here to simplify inclusion typedef struct @@ -86,7 +88,7 @@ class Cells int status; int hPeriod; int fireStarts; - int harvestStarts; + int firebreakStarts; int fireStartsSeason; int burntP; int tYears; @@ -191,7 +193,7 @@ class Cells bool& activeCrown, int perimeterCells); - void harvested(int id, int period); + void firebreak(int id, int period); void print_info(); diff --git a/Cell2Fire/DataGenerator.cpp b/Cell2Fire/DataGenerator.cpp index f9831c35..531f2e0a 100644 --- a/Cell2Fire/DataGenerator.cpp +++ b/Cell2Fire/DataGenerator.cpp @@ -4,6 +4,8 @@ */ #include "DataGenerator.h" +// Declarado en ScottAndBurganKernel.cpp: codigos de combustible para lookup identidad +std::vector sbAllFuelCodes(); #include "tiffio.h" #include @@ -944,7 +946,17 @@ GenDataFile(const std::string& InFolder, const std::string& Simulator) } else if (Simulator == "S") { - lookupTable = InFolder + separator() + "spain_lookup_table.csv"; + // Nombre nuevo, consistente con el renombre del kernel; se prefiere si existe. + // spain_lookup_table.csv se mantiene por compatibilidad con instancias previas. + lookupTable = InFolder + separator() + "scott_and_burgan_lookup_table.csv"; + if (!fileExists(lookupTable)) + lookupTable = InFolder + separator() + "spain_lookup_table.csv"; + // Preset Portugal (o instancias PT antiguas): si no hay spain_lookup pero si portugal_lookup, usarlo. + if (!fileExists(lookupTable)) + { + std::string pt = InFolder + separator() + "portugal_lookup_table.csv"; + if (fileExists(pt)) lookupTable = pt; + } } else if (Simulator == "C") { @@ -963,12 +975,37 @@ GenDataFile(const std::string& InFolder, const std::string& Simulator) // Check if the lookup table exists if (!fileExists(lookupTable)) { - std::cerr << "Error: Lookup table '" << lookupTable << "' not found" << std::endl; - return; + // Fallback identidad (solo S&B/Portugal): sin spain_lookup_table.csv se usa el + // valor del raster como codigo de modelo directamente. Todos los codigos de sbTable + // (S&B 101-204 + Portugal 211-237) se marcan quemables; el resto queda como no-fuel. + if (Simulator == "S") + { + std::cout << "Aviso: no se encontro '" << lookupTable + << "'. Usando lookup identidad (valor del raster = codigo S&B/Portugal)." << std::endl; + std::vector codes = sbAllFuelCodes(); + int idx = 0; + for (int code : codes) + { + std::string k = std::to_string(code); + FBPDict[k] = "FM" + k; + // color por defecto determinista (tono verde-oliva variando por indice) + float t = static_cast((idx * 47) % 100) / 100.0f; + float r = 0.35f + 0.45f * t, g = 0.45f + 0.35f * (1.0f - t), b = 0.20f + 0.25f * t; + ColorsDict[k] = std::make_tuple(r, g, b, 1.0f); + idx++; + } + } + else + { + std::cerr << "Error: Lookup table '" << lookupTable << "' not found" << std::endl; + return; + } + } + else + { + // Call Dictionary function to read lookup table + std::tie(FBPDict, ColorsDict) = Dictionary(lookupTable); } - - // Call Dictionary function to read lookup table - std::tie(FBPDict, ColorsDict) = Dictionary(lookupTable); // Call ForestGrid function // If fuels.tif exists, then .tif's are used, otherwise .asc diff --git a/Cell2Fire/FuelModelPortugal.cpp b/Cell2Fire/FuelModelPortugal.cpp deleted file mode 100644 index 874ffe98..00000000 --- a/Cell2Fire/FuelModelPortugal.cpp +++ /dev/null @@ -1,1430 +0,0 @@ -#include "FuelModelPortugal.h" -#include "Cells.h" -#include "FuelModelUtils.h" -#include "ReadArgs.h" -#include -#include -#include -#include -#include -#include -#include -#include -#include - -using namespace std; - -/* - Global coefficients -*/ -std::unordered_map> p_coeff_p; -std::unordered_map> q_coeff_p; -std::unordered_map> fm_parameters_p; - -int16_t HEAT_YIELD_P = 18000; // unidad kJ/kg -/* - Functions -*/ - -void -initialize_coeff_p(int scenario) -{ - if (scenario == 1) - { - // Populate them - // FM211 - int F211 = 211; - std::vector p_211; - p_211.push_back(0.275); - p_211.push_back(0.078); - p_211.push_back(0.016); - - std::vector q_211; - q_211.push_back(-1.637); - q_211.push_back(0.037); - q_211.push_back(2.514); - - p_coeff_p.insert(std::make_pair(F211, p_211)); - q_coeff_p.insert(std::make_pair(F211, q_211)); - - // FM 212 - int F212 = 212; - std::vector p_212; - p_212.push_back(0.57); - p_212.push_back(0.078); - p_212.push_back(0.03); - - std::vector q_212; - q_212.push_back(-1.315); - q_212.push_back(0.037); - q_212.push_back(1.956); - - p_coeff_p.insert(std::make_pair(F212, p_212)); - q_coeff_p.insert(std::make_pair(F212, q_212)); - - // FM 213 - int F213 = 213; - std::vector p_213; - p_213.push_back(0.385); - p_213.push_back(0.078); - p_213.push_back(0.017); - - std::vector q_213; - q_213.push_back(-1.683); - q_213.push_back(0.031); - q_213.push_back(2.468); - - p_coeff_p.insert(std::make_pair(F213, p_213)); - q_coeff_p.insert(std::make_pair(F213, q_213)); - - // FM 214 - int F214 = 214; - std::vector p_214; - p_214.push_back(6.464); - p_214.push_back(0.2); - p_214.push_back(0.219); - - std::vector q_214; - q_214.push_back(-0.662); - q_214.push_back(0.084); - q_214.push_back(1.068); - - p_coeff_p.insert(std::make_pair(F214, p_214)); - q_coeff_p.insert(std::make_pair(F214, q_214)); - - // FM 221 - int F221 = 221; - std::vector p_221; - p_221.push_back(0.133); - p_221.push_back(0.078); - p_221.push_back(0.006); - - std::vector q_221; - q_221.push_back(-2.522); - q_221.push_back(0.032); - q_221.push_back(3.64); - - p_coeff_p.insert(std::make_pair(F221, p_221)); - q_coeff_p.insert(std::make_pair(F221, q_221)); - - // FM 222 - int F222 = 222; - std::vector p_222; - p_222.push_back(0.159); - p_222.push_back(0.078); - p_222.push_back(0.007); - - std::vector q_222; - q_222.push_back(-2.416); - q_222.push_back(0.033); - q_222.push_back(3.508); - - p_coeff_p.insert(std::make_pair(F222, p_222)); - q_coeff_p.insert(std::make_pair(F222, q_222)); - - // FM 223 - int F223 = 223; - std::vector p_223; - p_223.push_back(0.087); - p_223.push_back(0.078); - p_223.push_back(0.004); - - std::vector q_223; - q_223.push_back(-2.816); - q_223.push_back(0.034); - q_223.push_back(4.103); - - p_coeff_p.insert(std::make_pair(F223, p_223)); - q_coeff_p.insert(std::make_pair(F223, q_223)); - - // FM 224 - int F224 = 224; - std::vector p_224; - p_224.push_back(0.394); - p_224.push_back(0.078); - p_224.push_back(0.021); - - std::vector q_224; - q_224.push_back(-1.324); - q_224.push_back(0.038); - q_224.push_back(1.983); - - p_coeff_p.insert(std::make_pair(F224, p_224)); - q_coeff_p.insert(std::make_pair(F224, q_224)); - - // FM 225 - int F225 = 225; - std::vector p_225; - p_225.push_back(0.109); - p_225.push_back(0.079); - p_225.push_back(0.004); - - std::vector q_225; - q_225.push_back(-2.649); - q_225.push_back(0.029); - q_225.push_back(3.63); - - p_coeff_p.insert(std::make_pair(F225, p_225)); - q_coeff_p.insert(std::make_pair(F225, q_225)); - - // FM 226 - int F226 = 226; - std::vector p_226; - p_226.push_back(0.36); - p_226.push_back(0.078); - p_226.push_back(0.014); - - std::vector q_226; - q_226.push_back(-1.625); - q_226.push_back(0.031); - q_226.push_back(2.278); - - p_coeff_p.insert(std::make_pair(F226, p_226)); - q_coeff_p.insert(std::make_pair(F226, q_226)); - - // FM 227 - int F227 = 227; - std::vector p_227; - p_227.push_back(0.123); - p_227.push_back(0.078); - p_227.push_back(0.005); - - std::vector q_227; - q_227.push_back(-2.76); - q_227.push_back(0.032); - q_227.push_back(3.932); - - p_coeff_p.insert(std::make_pair(F227, p_227)); - q_coeff_p.insert(std::make_pair(F227, q_227)); - - // FM 231 - int F231 = 231; - std::vector p_231; - p_231.push_back(0.06); - p_231.push_back(0.078); - p_231.push_back(0.003); - - std::vector q_231; - q_231.push_back(-2.007); - q_231.push_back(0.037); - q_231.push_back(2.864); - - p_coeff_p.insert(std::make_pair(F231, p_231)); - q_coeff_p.insert(std::make_pair(F231, q_231)); - - // FM 232 - int F232 = 232; - std::vector p_232; - p_232.push_back(2.012); - p_232.push_back(0.707); - p_232.push_back(0.05); - - std::vector q_232; - q_232.push_back(-0.648); - q_232.push_back(0.317); - q_232.push_back(1.098); - - p_coeff_p.insert(std::make_pair(F232, p_232)); - q_coeff_p.insert(std::make_pair(F232, q_232)); - - // FM 233 - int F233 = 233; - std::vector p_233; - p_233.push_back(0.101); - p_233.push_back(0.078); - p_233.push_back(0.006); - - std::vector q_233; - q_233.push_back(-2.656); - q_233.push_back(0.041); - q_233.push_back(4.177); - - p_coeff_p.insert(std::make_pair(F233, p_233)); - q_coeff_p.insert(std::make_pair(F233, q_233)); - - // FM 234 - int F234 = 234; - std::vector p_234; - p_234.push_back(0.152); - p_234.push_back(0.078); - p_234.push_back(0.008); - - std::vector q_234; - q_234.push_back(-2.316); - q_234.push_back(0.036); - q_234.push_back(3.491); - - p_coeff_p.insert(std::make_pair(F234, p_234)); - q_coeff_p.insert(std::make_pair(F234, q_234)); - - // FM 235 - int F235 = 235; - std::vector p_235; - p_235.push_back(0.152); - p_235.push_back(0.083); - p_235.push_back(0.006); - - std::vector q_235; - q_235.push_back(-2.093); - q_235.push_back(0.034); - q_235.push_back(2.997); - - p_coeff_p.insert(std::make_pair(F235, p_235)); - q_coeff_p.insert(std::make_pair(F235, q_235)); - - // FM 236 - int F236 = 236; - std::vector p_236; - p_236.push_back(0.113); - p_236.push_back(0.079); - p_236.push_back(0.01); - - std::vector q_236; - q_236.push_back(-1.974); - q_236.push_back(0.049); - q_236.push_back(3.298); - - p_coeff_p.insert(std::make_pair(F236, p_236)); - q_coeff_p.insert(std::make_pair(F236, q_236)); - - // FM 237 - int F237 = 237; - std::vector p_237; - p_237.push_back(0.208); - p_237.push_back(0.096); - p_237.push_back(0.016); - - std::vector q_237; - q_237.push_back(-1.571); - q_237.push_back(0.055); - q_237.push_back(2.572); - - p_coeff_p.insert(std::make_pair(F237, p_237)); - q_coeff_p.insert(std::make_pair(F237, q_237)); - } - - if (scenario == 2) - { - // Populate them - // FM 211 - int F211 = 211; - std::vector p_211; - p_211.push_back(0.246); - p_211.push_back(0.078); - p_211.push_back(0.014); - - std::vector q_211; - q_211.push_back(-1.694); - q_211.push_back(0.038); - q_211.push_back(2.604); - - p_coeff_p.insert(std::make_pair(F211, p_211)); - q_coeff_p.insert(std::make_pair(F211, q_211)); - - // FM 212 - int F212 = 212; - std::vector p_212; - p_212.push_back(0.512); - p_212.push_back(0.077); - p_212.push_back(0.027); - - std::vector q_212; - q_212.push_back(-1.356); - q_212.push_back(0.036); - q_212.push_back(2.033); - - p_coeff_p.insert(std::make_pair(F212, p_212)); - q_coeff_p.insert(std::make_pair(F212, q_212)); - - // FM 213 - int F213 = 213; - std::vector p_213; - p_213.push_back(0.316); - p_213.push_back(0.078); - p_213.push_back(0.014); - - std::vector q_213; - q_213.push_back(-1.814); - q_213.push_back(0.03); - q_213.push_back(2.667); - - p_coeff_p.insert(std::make_pair(F213, p_213)); - q_coeff_p.insert(std::make_pair(F213, q_213)); - - // FM 214 - int F214 = 214; - std::vector p_214; - p_214.push_back(5.26); - p_214.push_back(0.186); - p_214.push_back(0.173); - - std::vector q_214; - q_214.push_back(-0.723); - q_214.push_back(0.082); - q_214.push_back(1.117); - - p_coeff_p.insert(std::make_pair(F214, p_214)); - q_coeff_p.insert(std::make_pair(F214, q_214)); - - // FM 221 - int F221 = 221; - std::vector p_221; - p_221.push_back(0.124); - p_221.push_back(0.078); - p_221.push_back(0.005); - - std::vector q_221; - q_221.push_back(-2.584); - q_221.push_back(0.034); - q_221.push_back(3.724); - - p_coeff_p.insert(std::make_pair(F221, p_221)); - q_coeff_p.insert(std::make_pair(F221, q_221)); - - // FM 222 - int F222 = 222; - std::vector p_222; - p_222.push_back(0.149); - p_222.push_back(0.078); - p_222.push_back(0.007); - - std::vector q_222; - q_222.push_back(-2.484); - q_222.push_back(0.033); - q_222.push_back(3.596); - - p_coeff_p.insert(std::make_pair(F222, p_222)); - q_coeff_p.insert(std::make_pair(F222, q_222)); - - // FM 223 - int F223 = 223; - std::vector p_223; - p_223.push_back(0.078); - p_223.push_back(0.078); - p_223.push_back(0.004); - - std::vector q_223; - q_223.push_back(-2.89); - q_223.push_back(0.036); - q_223.push_back(4.215); - - p_coeff_p.insert(std::make_pair(F223, p_223)); - q_coeff_p.insert(std::make_pair(F223, q_223)); - - // FM 224 - int F224 = 224; - std::vector p_224; - p_224.push_back(0.364); - p_224.push_back(0.078); - p_224.push_back(0.019); - - std::vector q_224; - q_224.push_back(-1.39); - q_224.push_back(0.036); - q_224.push_back(2.081); - - p_coeff_p.insert(std::make_pair(F224, p_224)); - q_coeff_p.insert(std::make_pair(F224, q_224)); - - // FM 225 - - int F225 = 225; - std::vector p_225; - p_225.push_back(0.098); - p_225.push_back(0.079); - p_225.push_back(0.003); - - std::vector q_225; - q_225.push_back(-2.79); - q_225.push_back(0.028); - q_225.push_back(3.817); - - p_coeff_p.insert(std::make_pair(F225, p_225)); - q_coeff_p.insert(std::make_pair(F225, q_225)); - - // FM 226 - - int F226 = 226; - std::vector p_226; - p_226.push_back(0.318); - p_226.push_back(0.078); - p_226.push_back(0.012); - - std::vector q_226; - q_226.push_back(-1.67); - q_226.push_back(0.031); - q_226.push_back(2.372); - - p_coeff_p.insert(std::make_pair(F226, p_226)); - q_coeff_p.insert(std::make_pair(F226, q_226)); - - // FM 227 - - int F227 = 227; - std::vector p_227; - p_227.push_back(0.112); - p_227.push_back(0.078); - p_227.push_back(0.005); - - std::vector q_227; - q_227.push_back(-2.888); - q_227.push_back(0.031); - q_227.push_back(4.115); - - p_coeff_p.insert(std::make_pair(F227, p_227)); - q_coeff_p.insert(std::make_pair(F227, q_227)); - - // FM 231 - - int F231 = 231; - std::vector p_231; - p_231.push_back(0.052); - p_231.push_back(0.078); - p_231.push_back(0.002); - - std::vector q_231; - q_231.push_back(-2.111); - q_231.push_back(0.035); - q_231.push_back(3.033); - - p_coeff_p.insert(std::make_pair(F231, p_231)); - q_coeff_p.insert(std::make_pair(F231, q_231)); - - // FM 232 - - int F232 = 232; - std::vector p_232; - p_232.push_back(5363.193); - p_232.push_back(1.825); - p_232.push_back(0.039); - - std::vector q_232; - q_232.push_back(-0.735); - q_232.push_back(0.262); - q_232.push_back(1.229); - - p_coeff_p.insert(std::make_pair(F232, p_232)); - q_coeff_p.insert(std::make_pair(F232, q_232)); - - // FM 233 - - int F233 = 233; - std::vector p_233; - p_233.push_back(0.094); - p_233.push_back(0.078); - p_233.push_back(0.006); - - std::vector q_233; - q_233.push_back(-2.73); - q_233.push_back(0.04); - q_233.push_back(4.301); - - p_coeff_p.insert(std::make_pair(F233, p_233)); - q_coeff_p.insert(std::make_pair(F233, q_233)); - - // FM 234 - - int F234 = 234; - std::vector p_234; - p_234.push_back(0.14); - p_234.push_back(0.078); - p_234.push_back(0.007); - - std::vector q_234; - q_234.push_back(-2.39); - q_234.push_back(0.037); - q_234.push_back(3.601); - - p_coeff_p.insert(std::make_pair(F234, p_234)); - q_coeff_p.insert(std::make_pair(F234, q_234)); - - // FM 235 - - int F235 = 235; - std::vector p_235; - p_235.push_back(0.122); - p_235.push_back(0.078); - p_235.push_back(0.005); - - std::vector q_235; - q_235.push_back(-2.252); - q_235.push_back(0.033); - q_235.push_back(3.216); - - p_coeff_p.insert(std::make_pair(F235, p_235)); - q_coeff_p.insert(std::make_pair(F235, q_235)); - - // FM 236 - - int F236 = 236; - std::vector p_236; - p_236.push_back(0.105); - p_236.push_back(0.079); - p_236.push_back(0.009); - - std::vector q_236; - q_236.push_back(-2.049); - q_236.push_back(0.049); - q_236.push_back(3.397); - - p_coeff_p.insert(std::make_pair(F236, p_236)); - q_coeff_p.insert(std::make_pair(F236, q_236)); - - // FM 237 - - int F237 = 237; - std::vector p_237; - p_237.push_back(0.163); - p_237.push_back(0.085); - p_237.push_back(0.013); - - std::vector q_237; - q_237.push_back(-1.68); - q_237.push_back(0.049); - q_237.push_back(2.768); - - p_coeff_p.insert(std::make_pair(F237, p_237)); - q_coeff_p.insert(std::make_pair(F237, q_237)); - } - - if (scenario == 3) - { - - // Populate them - // FM 211 - int F211 = 211; - std::vector p_211; - p_211.push_back(0.206); - p_211.push_back(0.078); - p_211.push_back(0.012); - - std::vector q_211; - q_211.push_back(-1.815); - q_211.push_back(0.037); - q_211.push_back(2.804); - - p_coeff_p.insert(std::make_pair(F211, p_211)); - q_coeff_p.insert(std::make_pair(F211, q_211)); - - // FM 212 - int F212 = 212; - std::vector p_212; - p_212.push_back(0.462); - p_212.push_back(0.079); - p_212.push_back(0.024); - - std::vector q_212; - q_212.push_back(-1.424); - q_212.push_back(0.037); - q_212.push_back(2.151); - - p_coeff_p.insert(std::make_pair(F212, p_212)); - q_coeff_p.insert(std::make_pair(F212, q_212)); - - // FM 213 - int F213 = 213; - std::vector p_213; - p_213.push_back(0.247); - p_213.push_back(0.078); - p_213.push_back(0.011); - - std::vector q_213; - q_213.push_back(-1.975); - q_213.push_back(0.031); - q_213.push_back(2.894); - - p_coeff_p.insert(std::make_pair(F213, p_213)); - q_coeff_p.insert(std::make_pair(F213, q_213)); - - // FM 214 - int F214 = 214; - std::vector p_214; - p_214.push_back(3.671); - p_214.push_back(0.165); - p_214.push_back(0.122); - - std::vector q_214; - q_214.push_back(-0.805); - q_214.push_back(0.072); - q_214.push_back(1.256); - - p_coeff_p.insert(std::make_pair(F214, p_214)); - q_coeff_p.insert(std::make_pair(F214, q_214)); - - // FM 221 - int F221 = 221; - std::vector p_221; - p_221.push_back(0.113); - p_221.push_back(0.078); - p_221.push_back(0.005); - - std::vector q_221; - q_221.push_back(-2.674); - q_221.push_back(0.034); - q_221.push_back(3.86); - - p_coeff_p.insert(std::make_pair(F221, p_221)); - q_coeff_p.insert(std::make_pair(F221, q_221)); - - // FM 222 - int F222 = 222; - std::vector p_222; - p_222.push_back(0.136); - p_222.push_back(0.078); - p_222.push_back(0.006); - - std::vector q_222; - q_222.push_back(-2.596); - q_222.push_back(0.033); - q_222.push_back(3.777); - - p_coeff_p.insert(std::make_pair(F222, p_222)); - q_coeff_p.insert(std::make_pair(F222, q_222)); - - // FM 223 - int F223 = 223; - std::vector p_223; - p_223.push_back(0.067); - p_223.push_back(0.078); - p_223.push_back(0.003); - - std::vector q_223; - q_223.push_back(-3.121); - q_223.push_back(0.034); - q_223.push_back(4.542); - - p_coeff_p.insert(std::make_pair(F223, p_223)); - q_coeff_p.insert(std::make_pair(F223, q_223)); - - // FM 224 - int F224 = 224; - std::vector p_224; - p_224.push_back(0.325); - p_224.push_back(0.078); - p_224.push_back(0.017); - - std::vector q_224; - q_224.push_back(-1.48); - q_224.push_back(0.036); - q_224.push_back(2.186); - - p_coeff_p.insert(std::make_pair(F224, p_224)); - q_coeff_p.insert(std::make_pair(F224, q_224)); - - // FM 225 - - int F225 = 225; - std::vector p_225; - p_225.push_back(0.086); - p_225.push_back(0.079); - p_225.push_back(0.003); - - std::vector q_225; - q_225.push_back(-2.925); - q_225.push_back(0.029); - q_225.push_back(4.016); - - p_coeff_p.insert(std::make_pair(F225, p_225)); - q_coeff_p.insert(std::make_pair(F225, q_225)); - - // FM 226 - - int F226 = 226; - std::vector p_226; - p_226.push_back(0.267); - p_226.push_back(0.078); - p_226.push_back(0.01); - - std::vector q_226; - q_226.push_back(-1.805); - q_226.push_back(0.031); - q_226.push_back(2.531); - - p_coeff_p.insert(std::make_pair(F226, p_226)); - q_coeff_p.insert(std::make_pair(F226, q_226)); - - // FM 227 - - int F227 = 227; - std::vector p_227; - p_227.push_back(0.1); - p_227.push_back(0.078); - p_227.push_back(0.004); - - std::vector q_227; - q_227.push_back(-3.018); - q_227.push_back(0.032); - q_227.push_back(4.303); - - p_coeff_p.insert(std::make_pair(F227, p_227)); - q_coeff_p.insert(std::make_pair(F227, q_227)); - - // FM 231 - - int F231 = 231; - std::vector p_231; - p_231.push_back(0.042); - p_231.push_back(0.078); - p_231.push_back(0.002); - - std::vector q_231; - q_231.push_back(-2.278); - q_231.push_back(0.035); - q_231.push_back(3.275); - - p_coeff_p.insert(std::make_pair(F231, p_231)); - q_coeff_p.insert(std::make_pair(F231, q_231)); - - // FM 232 - - int F232 = 232; - std::vector p_232; - p_232.push_back(0.712); - p_232.push_back(0.532); - p_232.push_back(0.024); - - std::vector q_232; - q_232.push_back(-0.894); - q_232.push_back(0.224); - q_232.push_back(1.419); - - p_coeff_p.insert(std::make_pair(F232, p_232)); - q_coeff_p.insert(std::make_pair(F232, q_232)); - - // FM 233 - - int F233 = 233; - std::vector p_233; - p_233.push_back(0.086); - p_233.push_back(0.078); - p_233.push_back(0.005); - - std::vector q_233; - q_233.push_back(-2.836); - q_233.push_back(0.041); - q_233.push_back(4.457); - - p_coeff_p.insert(std::make_pair(F233, p_233)); - q_coeff_p.insert(std::make_pair(F233, q_233)); - - // FM 234 - - int F234 = 234; - std::vector p_234; - p_234.push_back(0.126); - p_234.push_back(0.078); - p_234.push_back(0.007); - - std::vector q_234; - q_234.push_back(-2.497); - q_234.push_back(0.037); - q_234.push_back(3.768); - - p_coeff_p.insert(std::make_pair(F234, p_234)); - q_coeff_p.insert(std::make_pair(F234, q_234)); - - // FM 235 - - int F235 = 235; - std::vector p_235; - p_235.push_back(0.111); - p_235.push_back(0.078); - p_235.push_back(0.005); - - std::vector q_235; - q_235.push_back(-2.35); - q_235.push_back(0.034); - q_235.push_back(3.339); - - p_coeff_p.insert(std::make_pair(F235, p_235)); - q_coeff_p.insert(std::make_pair(F235, q_235)); - - // FM 236 - - int F236 = 236; - std::vector p_236; - p_236.push_back(0.098); - p_236.push_back(0.079); - p_236.push_back(0.008); - - std::vector q_236; - q_236.push_back(-2.102); - q_236.push_back(0.049); - q_236.push_back(3.513); - - p_coeff_p.insert(std::make_pair(F236, p_236)); - q_coeff_p.insert(std::make_pair(F236, q_236)); - - // FM 237 - - int F237 = 237; - std::vector p_237; - p_237.push_back(0.139); - p_237.push_back(0.079); - p_237.push_back(0.011); - - std::vector q_237; - q_237.push_back(-1.765); - q_237.push_back(0.046); - q_237.push_back(2.907); - - p_coeff_p.insert(std::make_pair(F237, p_237)); - q_coeff_p.insert(std::make_pair(F237, q_237)); - } - - // Fuel Model Parameters for Crown Fire - std::vector fp_211; - fp_211.push_back(0.1 + 0.0 + 0.0 + 0.3 + 0.0); - fp_211.push_back(8000); - fm_parameters_p.insert(std::make_pair(211, fp_211)); - - std::vector fp_212; - fp_212.push_back(0.1 + 0.0 + 0.0 + 1.0 + 0.0); - fp_212.push_back(8000); - fm_parameters_p.insert(std::make_pair(212, fp_212)); - - std::vector fp_213; - fp_213.push_back(0.1 + 0.4 + 0.0 + 1.5 + 0.0); - fp_213.push_back(8000); - fm_parameters_p.insert(std::make_pair(213, fp_213)); - - std::vector fp_214; - fp_214.push_back(0.25 + 0.0 + 0.0 + 1.9 + 0.0); - fp_214.push_back(8000); - fm_parameters_p.insert(std::make_pair(214, fp_214)); - - std::vector fp_221; - fp_221.push_back(0.4 + 0.0 + 0.0 + 2.5 + 0.0); - fp_221.push_back(8000); - fm_parameters_p.insert(std::make_pair(221, fp_221)); - - std::vector fp_222; - fp_222.push_back(0.1 + 0.0 + 0.0 + 3.4 + 0.0); - fp_222.push_back(9000); - fm_parameters_p.insert(std::make_pair(222, fp_222)); - - std::vector fp_223; - fp_223.push_back(1.0 + 0.0 + 0.0 + 5.4 + 0.0); - fp_223.push_back(8000); - fm_parameters_p.insert(std::make_pair(223, fp_223)); - - std::vector fp_224; - fp_224.push_back(0.5 + 1.0 + 0.0 + 7.3 + 0.0); - fp_224.push_back(8000); - fm_parameters_p.insert(std::make_pair(224, fp_224)); - - std::vector fp_225; - fp_225.push_back(0.2 + 0.0 + 0.0 + 0.5 + 0.65); - fp_225.push_back(8000); - fm_parameters_p.insert(std::make_pair(225, fp_225)); - - std::vector fp_226; - fp_226.push_back(0.5 + 0.5 + 0.0 + 0.6 + 1.0); - fp_226.push_back(8000); - fm_parameters_p.insert(std::make_pair(226, fp_226)); - - std::vector fp_227; - fp_227.push_back(0.3 + 0.25 + 0.0 + 1.45 + 1.25); - fp_227.push_back(8000); - fm_parameters_p.insert(std::make_pair(227, fp_227)); - - std::vector fp_231; - fp_231.push_back(1.9 + 0.3 + 0.1 + 3.4 + 7.1); - fp_231.push_back(8000); - fm_parameters_p.insert(std::make_pair(231, fp_231)); - - std::vector fp_232; - fp_232.push_back(1.35 + 2.4 + 0.75 + 0.0 + 3.85); - fp_232.push_back(8000); - fm_parameters_p.insert(std::make_pair(232, fp_232)); - - std::vector fp_233; - fp_233.push_back(0.45 + 3.0 + 0.0 + 0.0 + 6.2); - fp_233.push_back(8000); - fm_parameters_p.insert(std::make_pair(233, fp_233)); - - std::vector fp_234; - fp_234.push_back(0.85 + 1.15 + 0.2 + 0.0 + 2.55); - fp_234.push_back(8000); - fm_parameters_p.insert(std::make_pair(234, fp_234)); - - std::vector fp_235; - fp_235.push_back(3.6 + 2.1 + 0.0 + 0.0 + 2.9); - fp_235.push_back(8000); - fm_parameters_p.insert(std::make_pair(235, fp_235)); - - std::vector fp_236; - fp_236.push_back(2.9 + 1.45 + 0.0 + 0.0 + 1.4); - fp_236.push_back(8000); - fm_parameters_p.insert(std::make_pair(236, fp_236)); - - std::vector fp_237; - fp_237.push_back(3.5 + 5.3 + 2.2 + 0.0 + 3.4); - fp_237.push_back(8000); - fm_parameters_p.insert(std::make_pair(237, fp_237)); -} - -float -rate_of_spread_p(inputs* data, fuel_coefs* ptr, main_outs* at, float ws) -{ - float p1, p2, p3; - - p1 = p_coeff_p[data->nftype][0]; - p2 = p_coeff_p[data->nftype][1]; - p3 = p_coeff_p[data->nftype][2]; - // se = slope_effect(inp) ; - at->rss = 1.0 / (p1 * exp(-p2 * ws) + p3); - - return at->rss * (at->rss >= 0); -} - -float -flankfire_ros_p(float ros, float bros, float lb) -{ - return ((ros + bros) / (lb * 2.0)); -} - -/* ----------------- Length-to-Breadth --------------------------*/ - -float -l_to_b_p(float ws) -{ - // if(strncmp(ft,"O1",2)==0)return( ws<1.0 ? 1.0 : (1.1*pow(ws,0.464))); - float alpha, beta, factor; - alpha = 0.2566; - beta = -0.1548; - factor = 1000.0 / 3600.0; - return pow((0.936 * exp(alpha * factor * ws) + 0.461 * exp(beta * factor * ws) - 0.397), 0.45); -} - -/* ----------------- Back Rate of Spread --------------------------*/ - -float -backfire_ros_p(main_outs* at, snd_outs* sec) -{ - float hb, bros, lb; - // lb = l_to_b(data->fueltype,at->wsv) ; - lb = sec->lb; - hb = (lb + sqrt(pow(lb, 2) - 1.0)) / (lb - sqrt(pow(lb, 2) - 1.0)); - - bros = at->rss / hb; - - return bros * (bros >= 0); -} - -float -flame_length_p(inputs* data, fuel_coefs* ptr, float ws) -{ - float q1, q2, q3, fl; - q1 = q_coeff_p[data->nftype][0]; - q2 = q_coeff_p[data->nftype][1]; - q3 = q_coeff_p[data->nftype][2]; - - fl = pow(q1 * exp(-q2 * ws) + q3, 2); - return fl; -} - -/** - * @brief Calculates the flame length of a cell when there is crown fire. - * @param intensity Byram intensity for crown fires - * @return the flame length - */ - -// TODO: citation needed -float -crown_flame_length_p(float intensity) -{ - float fl = 0.1 * pow(intensity, 0.5); - if (fl < 0.01) - { - return 0; - } - else - { - return std::ceil(fl * 100.0) / 100.0; - } -} - -float -byram_intensity_p(main_outs* at, fuel_coefs* ptr) -{ - float fl, ib; - fl = at->fl; - ib = 259.833 * pow(fl, 2.174); - ib = std::ceil(ib * 100.0) / 100.0; - return ib; -} - -/** - * Calculates byram fire intensity when there is active crown fire. - * In order for this to be calculated, the input folder must contain - * files with CBD, CBH and tree height data for each cell. - * @param at Structure containing the cell's output data. - * @param data Structure containing the cell's input data. - * @return Fire intensity. - */ -float -crown_byram_intensity_p(main_outs* at, inputs* data) -{ - float canopy_height; - if (data->tree_height == -9999) - { - canopy_height = data->cbh * 2; - } - else - { - canopy_height = data->tree_height - data->cbh; - } - if (canopy_height < 0) - { - std::cerr << "Tree height is lower than canopy base height, please provide valid files.\n" - "Could not calculate crown Byram intensity due to invalid input data" - << std::endl; - throw std::runtime_error("Could not calculate crown Byram intensity due to invalid input data"); - } - return std::ceil((HEAT_YIELD_P / 60) * data->cbd * canopy_height * at->ros_active * 100.0) / 100.0; -} - -int -fmc_scen_p(inputs* data) -{ - int fmc; - fmc = data->FMC; - return fmc; -} - -bool -fire_type_p(inputs* data, main_outs* at) -{ - float intensity, critical_intensity, cbh; - int fmc; - bool crownFire = false; - - intensity = at->sfi; - cbh = data->cbh; - fmc = fmc_scen_p(data); - critical_intensity = pow((0.01 * cbh * (460 + 25.9 * fmc)), 1.5); - - if ((intensity > critical_intensity) && cbh != 0) - crownFire = true; - - return crownFire; -} - -float -rate_of_spread10_p(inputs* data, arguments* args, float ws) -{ - // FM 10 coef - float p1 = 0.2802, p2 = 0.07786, p3 = 0.01123; - float ros, ros10, ffros, fcbd, fccf; - - ffros = args->ROS10Factor; - fcbd = args->CBDFactor; - fccf = args->CCFFactor; - - ros10 = 1. / (p1 * exp(-p2 * ws) + p3); - ros = ffros * ros10 + fccf * data->ccf + fcbd * args->CBDFactor; - - return (ros); -} - -float -final_rate_of_spread10_p(inputs* data, main_outs* at) -{ - float ros_active, ros_final, ros; - ros = at->rss; - ros_active = at->ros_active; - ros_final = ros + at->cfb * (ros_active - ros); - return (ros_final); -} - -float -backfire_ros10_p(fire_struc* hptr, snd_outs* sec) -{ - float hb, bros, lb; - lb = sec->lb; - hb = (lb + sqrt(pow(lb, 2) - 1.0)) / (lb - sqrt(pow(lb, 2) - 1.0)); - - bros = hptr->ros / hb; - - return bros; -} - -float -crownfractionburn_p(inputs* data, main_outs* at) -{ // generar output de cfb - float a, cbd, ros, ros0, H, wa, i0, cbh, FMC, cfb; - FMC = fmc_scen_p(data); - ; // modificar para ingresar manualmente - cbh = data->cbh; - i0 = pow((0.01 * cbh * (460 + 25.9 * FMC)), 1.5); - wa = fm_parameters_p[data->nftype][0]; - H = fm_parameters_p[data->nftype][1]; - cbd = data->cbd; - ros0 = 60 * i0 / (H * wa); - ros = at->rss; - if (cbd != 0) - { - a = -log(0.1) / (0.9 * (3.0 / cbd - ros0)); - // a=0.23; - } - else - { - a = 0.23; - } - cfb = 1 - exp(-a * (ros - ros0)); - if (cfb < 0) - { - cfb = 0; - } - return cfb; -} - -bool -checkActive_p(inputs* data, main_outs* at) // En s&b se usa fm10 -{ - float rac, cbd, H, wa, i0, cbh, fmc; - bool active; - // rac = at->ros_active; - fmc = fmc_scen_p(data); - ; // modificar para ingresar manualmente - cbh = data->cbh; - i0 = pow((0.01 * cbh * (460 + 25.9 * fmc)), 1.5); - wa = fm_parameters_p[data->nftype][0]; - H = fm_parameters_p[data->nftype][1]; - cbd = data->cbd; - rac = 60 * i0 / (H * wa); - - active = cbd * rac >= 3; - return active; -} - -void -calculate_p(inputs* data, - fuel_coefs* ptr, - arguments* args, - main_outs* at, - snd_outs* sec, - fire_struc* hptr, - fire_struc* fptr, - fire_struc* bptr, - bool& activeCrown, - weatherDF* wdf_ptr) -{ - - // Aux - float ros, bros, lb, fros; - bool crownFire = false; - // Populate fuel coefs struct - // ptr->fueltype = data->fueltype; - if (args->verbose) - { - std::cout << "Populate fuel types " << std::endl; - std::cout << "NfTypes:" << data->nftype << std::endl; - std::cout << "scen:" << args->scenario << std::endl; - } - ptr->p1 = p_coeff_p[data->nftype][0]; - ptr->p2 = p_coeff_p[data->nftype][1]; - ptr->p3 = p_coeff_p[data->nftype][2]; - ptr->q1 = q_coeff_p[data->nftype][0]; - ptr->q2 = q_coeff_p[data->nftype][1]; - ptr->q3 = q_coeff_p[data->nftype][2]; - ptr->nftype = data->nftype; - - // Step 1: Calculate HROS (surface) - at->rss = rate_of_spread_p(data, ptr, at, wdf_ptr->ws); - hptr->rss = at->rss; - - // Step 2: Calculate Length-to-breadth - sec->lb = l_to_b_p(wdf_ptr->ws); - - // Step 3: Calculate BROS (surface) - bptr->rss = backfire_ros_p(at, sec); - - // Step 4: Calculate central FROS (surface) - fptr->rss = flankfire_ros_p(hptr->rss, bptr->rss, sec->lb); - - // Step 5: Ellipse components - at->a = (hptr->rss + bptr->rss) / 2.; - at->b = (hptr->rss + bptr->rss) / (2. * sec->lb); - at->c = (hptr->rss - bptr->rss) / 2.; - - // Step 6: Flame Length - at->fl = flame_length_p(data, ptr, wdf_ptr->ws); - - // std::cout << "hasta aqui todo bien" << std::endl; - - // Step 7: Flame angle - at->angle = angleFL(wdf_ptr->ws, at); - - // Step 8: Flame Height - at->fh = flame_height(at); - - // Step 9: Byram Intensity - at->sfi = byram_intensity_p(at, ptr); - - // Step 10: Criterion for Crown Fire Initiation (no init if user does not want to include it) - if (args->AllowCROS && data->cbh != 0 && data->cbd != 0) - { - if (activeCrown) - { - at->ros_active = rate_of_spread10_p(data, args, wdf_ptr->ws); - if (!checkActive_p(data, at)) - { - activeCrown = false; - } - } - else - { - crownFire = fire_type_p(data, at); - if (args->verbose) - { - cout << "Checking crown Fire conditions " << crownFire << "\n"; - } - } - } - else - { - crownFire = false; - activeCrown = false; - } - - // If we have Crown fire, update the ROSs - if (crownFire) - { - at->ros_active = rate_of_spread10_p(data, args, wdf_ptr->ws); - at->cfb = crownfractionburn_p(data, at); - - hptr->ros = final_rate_of_spread10_p(data, at); - at->rss = hptr->ros; - bptr->ros = backfire_ros10_p(hptr, sec); - fptr->ros = flankfire_ros_p(hptr->ros, bptr->ros, sec->lb); - if (args->verbose) - { - cout << "hptr->ros = " << hptr->ros << "\n"; - cout << "bptr->ros = " << bptr->ros << "\n"; - cout << "fptr->ros = " << fptr->ros << "\n"; - } - at->crown_intensity = crown_byram_intensity_p(at, data); - at->crown_flame_length = crown_flame_length_p(at->crown_intensity); - - at->a = (hptr->ros + bptr->ros) / 2.; - at->b = (hptr->ros + bptr->ros) / (2. * sec->lb); - at->c = (hptr->ros - bptr->rss) / 2; - at->crown = 1; - activeCrown = true; - } - else if (activeCrown) - { - at->cfb = crownfractionburn_p(data, at); // lo calculamos igual porque lo necesitamos para el output - hptr->ros = at->ros_active; - at->rss = hptr->ros; - bptr->ros = backfire_ros10_p(hptr, sec); - fptr->ros = flankfire_ros_p(hptr->ros, bptr->ros, sec->lb); - at->crown_intensity = crown_byram_intensity_p(at, data); - at->crown_flame_length = crown_flame_length_p(at->crown_intensity); - - if (args->verbose) - { - cout << "hptr->ros = " << hptr->ros << "\n"; - cout << "bptr->ros = " << bptr->ros << "\n"; - cout << "fptr->ros = " << fptr->ros << "\n"; - } - - at->a = (hptr->ros + bptr->ros) / 2.; - at->b = (hptr->ros + bptr->ros) / (2. * sec->lb); - at->c = (hptr->ros - bptr->rss) / 2; - at->crown = 1; - // std::cout << "ros_activo: " <ros << std::endl; - } - - // Otherwise, use the surface alues - else - { - at->crown = 0; - at->cfb = 0; - hptr->ros = hptr->rss; - bptr->ros = bptr->rss; - fptr->ros = fptr->rss; - if (args->verbose) - { - cout << "hptr->ros = " << hptr->ros << "\n"; - cout << "bptr->ros = " << bptr->ros << "\n"; - cout << "fptr->ros = " << fptr->ros << "\n"; - } - } - // if (hptr->ros>100){ - // cout << "hptr->rss = " << hptr->ros << "\n" ; - - //} - - if (args->verbose) - { - cout << "--------------- Inputs --------------- \n"; - cout << "ws = " << data->ws << "\n"; - cout << "coef data->cbh = " << data->cbh << "\n"; - cout << "coef ptr->p1 = " << ptr->p1 << "\n"; - cout << "coef ptr->p2 = " << ptr->p2 << "\n"; - cout << "coef ptr->p3 = " << ptr->p3 << "\n"; - cout << "coef ptr->q1 = " << ptr->q1 << "\n"; - cout << "coef ptr->q2 = " << ptr->q2 << "\n"; - cout << "coef ptr->q3 = " << ptr->q3 << "\n"; - cout << "\n"; - - cout << "---------------- Outputs --------------- \n"; - cout << "at->rss = " << at->rss << "\n"; - cout << "hptr->rss = " << hptr->rss << "\n"; - cout << "lb = " << sec->lb << "\n"; - cout << "bptr->rss = " << bptr->rss << "\n"; - cout << "fptr->rss = " << fptr->rss << "\n"; - cout << "axis a = " << at->a << "\n"; - cout << "axis b = " << at->b << "\n"; - cout << "axis c = " << at->c << "\n"; - cout << "fl = " << at->fl << "\n"; - cout << "angle = " << at->angle << "\n"; - cout << "fh = " << at->fh << "\n"; - cout << "Crown Fire = " << crownFire << "\n"; - } -} - -void -determine_destiny_metrics_p(inputs* data, fuel_coefs* ptr, arguments* args, main_outs* metrics, weatherDF* wdf_ptr) -{ - // Hack: Initialize coefficients - initialize_coeff_p(args->scenario); - - // Aux - float ros = 0, bros = 0, lb = 0, fros = 0; - bool crownFire = false; - ptr->q1 = q_coeff_p[data->nftype][0]; - ptr->q2 = q_coeff_p[data->nftype][1]; - ptr->q3 = q_coeff_p[data->nftype][2]; - ptr->nftype = data->nftype; - // Step 6: Flame Length - metrics->fl = flame_length_p(data, ptr, wdf_ptr->ws); - // Step 9: Byram Intensity - metrics->sfi = byram_intensity_p(metrics, ptr); - // Set cfb value for no crown fire scenario - metrics->cfb = 0; - // Step 10: Criterion for Crown Fire Initiation (no init if user does not want to include it) - if (args->AllowCROS) - { - crownFire = fire_type_p(data, metrics); - if (crownFire) - { - metrics->cfb = crownfractionburn_p(data, metrics); - metrics->crown_intensity = crown_byram_intensity_p(metrics, data); - metrics->crown_flame_length = crown_flame_length_p(metrics->crown_intensity); - } - if (args->verbose) - { - cout << "Checking crown Fire conditions " << crownFire << "\n"; - } - } - else - { - crownFire = false; - } - - metrics->crown = crownFire; -} diff --git a/Cell2Fire/FuelModelPortugal.h b/Cell2Fire/FuelModelPortugal.h deleted file mode 100644 index 8e4a1be1..00000000 --- a/Cell2Fire/FuelModelPortugal.h +++ /dev/null @@ -1,71 +0,0 @@ -#ifndef FUELMODELPORTUGAL -#define FUELMODELPORTUGAL -#include "Cells.h" -#include "ReadArgs.h" -#include -#include -#include -#include -#include -#include -#include -#include - -/* - * Input, Fire, and output structures - */ - -/* - Functions -*/ -// Initialize coefficients -void initialize_coeff_p(int scenario); - -// Calculate flank fire -float flankfire_ros_p(float ros, float bros, float lb); - -// Calculate rate of spread -float rate_of_spread_p(inputs* data, fuel_coefs* ptr, main_outs* at, float ws); - -// Length-to-Breadth ratio -float l_to_b_p(float ws); - -// BROS -float backfire_ros_p(main_outs* at, snd_outs* sec); - -// Flame length [m]) -float flame_length_p(inputs* data, fuel_coefs* ptr, float ws); - -// byram intensity -float byram_intensity_p(inputs* data, fuel_coefs* ptr); - -// Type of fire (Crown = 1, SROS = 0) -bool fire_type_p(inputs* data, fuel_coefs* ptr); - -// CROS adjustements -float rate_of_spread10_p(inputs* data, arguments* args, float ws); - -bool checkActive_p(inputs* data, main_outs* at); -float crownfractionburn_p(inputs* data, main_outs* at); -float final_rate_of_spread10_p(inputs* data); -// Back fire with CROS -float backfire_ros10_p(fire_struc* hptr, snd_outs* sec); - -// Slope effect -float slope_effect_p(inputs* data); - -// Main function to populate spread outputs based on inputs provided from main class -void calculate_p(inputs* data, - fuel_coefs* ptr, - arguments* args, - main_outs* at, - snd_outs* sec, - fire_struc* hptr, - fire_struc* fptr, - fire_struc* bptr, - bool& activeCrown, - weatherDF* wdf_ptr); - -void determine_destiny_metrics_p(inputs* data, fuel_coefs* ptr, arguments* args, main_outs* at, weatherDF* wdf_ptr); - -#endif diff --git a/Cell2Fire/FuelModelSpain.cpp b/Cell2Fire/FuelModelSpain.cpp deleted file mode 100644 index af285e0c..00000000 --- a/Cell2Fire/FuelModelSpain.cpp +++ /dev/null @@ -1,2674 +0,0 @@ -/* coding: utf-8 -__version__ = "3.0" -__author__ = "Jaime Carrasco-Barra" -__maintainer__ = "Jaime Carrasco-Barra, Matilde Rivas, David Palacios" -*/ -#include "FuelModelSpain.h" -#include "Cells.h" -#include "FuelModelUtils.h" -#include "ReadArgs.h" -#include -#include -#include -#include -#include - -using namespace std; - -/** - * Global coefficients - */ -std::unordered_map> p_coeff; -std::unordered_map> q_coeff; -std::unordered_map> fm_parameters; -int16_t HEAT_YIELD = 18000; // unidad kJ/kg - -/** - * - * @param scenario Weather scenario used in the simulation. It determines the - * fuel model coefficients. - */ -void -initialize_coeff(int scenario) -{ - if (scenario == 1) - { - // Populate them - // FM101 - int F101 = 101; - std::vector p_101; - p_101.push_back(2.575); - p_101.push_back(0.6665); - p_101.push_back(0.1096); - - std::vector q_101; - q_101.push_back(-0.516); - q_101.push_back(0.288); - q_101.push_back(0.8972); - - p_coeff.insert(std::make_pair(F101, p_101)); - q_coeff.insert(std::make_pair(F101, q_101)); - - // FM 102 - int F102 = 102; - std::vector p_102; - p_102.push_back(0.4218); - p_102.push_back(0.2915); - p_102.push_back(0.01212); - - std::vector q_102; - q_102.push_back(-1.307); - q_102.push_back(0.1322); - q_102.push_back(1.887); - - p_coeff.insert(std::make_pair(F102, p_102)); - q_coeff.insert(std::make_pair(F102, q_102)); - - // FM 103 - int F103 = 103; - std::vector p_103; - p_103.push_back(0.1638); - p_103.push_back(0.2095); - p_103.push_back(0.007809); - - std::vector q_103; - q_103.push_back(-1.572); - q_103.push_back(0.1068); - q_103.push_back(2.409); - - p_coeff.insert(std::make_pair(F103, p_103)); - q_coeff.insert(std::make_pair(F103, q_103)); - - // FM 104 - int F104 = 104; - std::vector p_104; - p_104.push_back(0.07138); - p_104.push_back(0.1417); - p_104.push_back(0.002243); - - std::vector q_104; - q_104.push_back(-2.391); - q_104.push_back(0.05973); - q_104.push_back(3.334); - - p_coeff.insert(std::make_pair(F104, p_104)); - q_coeff.insert(std::make_pair(F104, q_104)); - - // FM 105 - int F105 = 105; - std::vector p_105; - p_105.push_back(0.03548); - p_105.push_back(0.07829); - p_105.push_back(0.001524); - - std::vector q_105; - q_105.push_back(-3.075); - q_105.push_back(0.03373); - q_105.push_back(4.391); - - p_coeff.insert(std::make_pair(F105, p_105)); - q_coeff.insert(std::make_pair(F105, q_105)); - - // FM 106 - int F106 = 106; - std::vector p_106; - p_106.push_back(0.02469); - p_106.push_back(0.08049); - p_106.push_back(0.0008245); - - std::vector q_106; - q_106.push_back(-4.006); - q_106.push_back(0.03019); - q_106.push_back(5.463); - - p_coeff.insert(std::make_pair(F106, p_106)); - q_coeff.insert(std::make_pair(F106, q_106)); - - // FM 107 - int F107 = 107; - std::vector p_107; - p_107.push_back(0.02329); - p_107.push_back(0.09086); - p_107.push_back(0.0009262); - - std::vector q_107; - q_107.push_back(-3.979); - q_107.push_back(0.03746); - q_107.push_back(5.587); - - p_coeff.insert(std::make_pair(F107, p_107)); - q_coeff.insert(std::make_pair(F107, q_107)); - - // FM 108 - int F108 = 108; - std::vector p_108; - p_108.push_back(0.02111); - p_108.push_back(0.07793); - p_108.push_back(0.001174); - - std::vector q_108; - q_108.push_back(-3.842); - q_108.push_back(0.03855); - q_108.push_back(5.817); - - p_coeff.insert(std::make_pair(F108, p_108)); - q_coeff.insert(std::make_pair(F108, q_108)); - - // FM 121 - int F121 = 121; - std::vector p_121; - p_121.push_back(0.613); - p_121.push_back(0.2139); - p_121.push_back(0.0187); - - std::vector q_121; - q_121.push_back(-1.267); - q_121.push_back(0.0922); - q_121.push_back(1.845); - - p_coeff.insert(std::make_pair(F121, p_121)); - q_coeff.insert(std::make_pair(F121, q_121)); - - // FM 122 - int F122 = 122; - std::vector p_122; - p_122.push_back(0.195); - p_122.push_back(0.1243); - p_122.push_back(0.006478); - - std::vector q_122; - q_122.push_back(-1.939); - q_122.push_back(0.05084); - q_122.push_back(2.706); - - p_coeff.insert(std::make_pair(F122, p_122)); - q_coeff.insert(std::make_pair(F122, q_122)); - - // FM 123 - int F123 = 123; - std::vector p_123; - p_123.push_back(0.06515); - p_123.push_back(0.07833); - p_123.push_back(0.002831); - - std::vector q_123; - q_123.push_back(-2.646); - q_123.push_back(0.03365); - q_123.push_back(3.788); - - p_coeff.insert(std::make_pair(F123, p_123)); - q_coeff.insert(std::make_pair(F123, q_123)); - - // FM 124 - int F124 = 124; - std::vector p_124; - p_124.push_back(0.07867); - p_124.push_back(0.07788); - p_124.push_back(0.003431); - - std::vector q_124; - q_124.push_back(-3.508); - q_124.push_back(0.03246); - q_124.push_back(5.098); - - p_coeff.insert(std::make_pair(F124, p_124)); - q_coeff.insert(std::make_pair(F124, q_124)); - - // FM 142 - int F142 = 142; - std::vector p_142; - p_142.push_back(0.3505); - p_142.push_back(0.07768); - p_142.push_back(0.01498); - - std::vector q_142; - q_142.push_back(-1.959); - q_142.push_back(0.0322); - q_142.push_back(2.819); - - p_coeff.insert(std::make_pair(F142, p_142)); - q_coeff.insert(std::make_pair(F142, q_142)); - - // FM 143 - int F143 = 143; - std::vector p_143; - p_143.push_back(1.748); - p_143.push_back(0.1589); - p_143.push_back(0.08249); - - std::vector q_143; - q_143.push_back(-0.938); - q_143.push_back(0.07674); - q_143.push_back(1.479); - - p_coeff.insert(std::make_pair(F143, p_143)); - q_coeff.insert(std::make_pair(F143, q_143)); - - // FM 144 - int F144 = 144; - std::vector p_144; - p_144.push_back(0.08116); - p_144.push_back(0.07849); - p_144.push_back(0.003353); - - std::vector q_144; - q_144.push_back(-2.452); - q_144.push_back(0.03347); - q_144.push_back(3.486); - - p_coeff.insert(std::make_pair(F144, p_144)); - q_coeff.insert(std::make_pair(F144, q_144)); - - // FM 145 - int F145 = 145; - std::vector p_145; - p_145.push_back(0.0483); - p_145.push_back(0.0781); - p_145.push_back(0.002783); - - std::vector q_145; - q_145.push_back(-2.796); - q_145.push_back(0.04029); - q_145.push_back(4.24); - - p_coeff.insert(std::make_pair(F145, p_145)); - q_coeff.insert(std::make_pair(F145, q_145)); - - // FM 146 - int F146 = 146; - std::vector p_146; - p_146.push_back(0.1248); - p_146.push_back(0.07783); - p_146.push_back(0.007999); - - std::vector q_146; - q_146.push_back(-2.121); - q_146.push_back(0.04111); - q_146.push_back(3.327); - - p_coeff.insert(std::make_pair(F146, p_146)); - q_coeff.insert(std::make_pair(F146, q_146)); - - // FM 146 - int F147 = 147; - std::vector p_147; - p_147.push_back(0.07431); - p_147.push_back(0.07791); - p_147.push_back(0.004384); - - std::vector q_147; - q_147.push_back(-2.668); - q_147.push_back(0.04027); - q_147.push_back(4.089); - - p_coeff.insert(std::make_pair(F147, p_147)); - q_coeff.insert(std::make_pair(F147, q_147)); - - // FM 148 - int F148 = 148; - std::vector p_148; - p_148.push_back(0.1238); - p_148.push_back(0.07772); - p_148.push_back(0.00647); - - std::vector q_148; - q_148.push_back(-2.506); - q_148.push_back(0.03664); - q_148.push_back(3.756); - - p_coeff.insert(std::make_pair(F148, p_148)); - q_coeff.insert(std::make_pair(F148, q_148)); - - // FM 149 - int F149 = 149; - std::vector p_149; - p_149.push_back(0.0667); - p_149.push_back(0.07779); - p_149.push_back(0.003506); - - std::vector q_149; - q_149.push_back(-3.209); - q_149.push_back(0.03641); - q_149.push_back(4.839); - - p_coeff.insert(std::make_pair(F149, p_149)); - q_coeff.insert(std::make_pair(F149, q_149)); - - // FM 161 - int F161 = 161; - std::vector p_161; - p_161.push_back(2.616); - p_161.push_back(0.1744); - p_161.push_back(0.1004); - - std::vector q_161; - q_161.push_back(-0.867); - q_161.push_back(0.08398); - q_161.push_back(1.326); - - p_coeff.insert(std::make_pair(F161, p_161)); - q_coeff.insert(std::make_pair(F161, q_161)); - - // FM 162 - int F162 = 162; - std::vector p_162; - p_162.push_back(0.6444); - p_162.push_back(0.1574); - p_162.push_back(0.02134); - - std::vector q_162; - q_162.push_back(-1.347); - q_162.push_back(0.0649); - q_162.push_back(1.958); - - p_coeff.insert(std::make_pair(F162, p_162)); - q_coeff.insert(std::make_pair(F162, q_162)); - - // FM 163 - int F163 = 163; - std::vector p_163; - p_163.push_back(0.08987); - p_163.push_back(0.07819); - p_163.push_back(0.003927); - - std::vector q_163; - q_163.push_back(-2.419); - q_163.push_back(0.03439); - q_163.push_back(3.493); - - p_coeff.insert(std::make_pair(F163, p_163)); - q_coeff.insert(std::make_pair(F163, q_163)); - - // FM 164 - int F164 = 164; - std::vector p_164; - p_164.push_back(0.1843); - p_164.push_back(0.07912); - p_164.push_back(0.005477); - - std::vector q_164; - q_164.push_back(-2.661); - q_164.push_back(0.0271); - q_164.push_back(3.579); - - p_coeff.insert(std::make_pair(F164, p_164)); - q_coeff.insert(std::make_pair(F164, q_164)); - - // FM 165 - int F165 = 165; - std::vector p_165; - p_165.push_back(0.3291); - p_165.push_back(0.07679); - p_165.push_back(0.02046); - - std::vector q_165; - q_165.push_back(-1.891); - q_165.push_back(0.03665); - q_165.push_back(3.027); - - p_coeff.insert(std::make_pair(F165, p_165)); - q_coeff.insert(std::make_pair(F165, q_165)); - - // FM 181 - int F181 = 181; - std::vector p_181; - p_181.push_back(14.96); - p_181.push_back(0.401); - p_181.push_back(1.983); - - std::vector q_181; - q_181.push_back(-0.1525); - q_181.push_back(0.4018); - q_181.push_back(0.4484); - - p_coeff.insert(std::make_pair(F181, p_181)); - q_coeff.insert(std::make_pair(F181, q_181)); - - // FM 182 - int F182 = 182; - std::vector p_182; - p_182.push_back(11.01); - p_182.push_back(0.3366); - p_182.push_back(0.7639); - - std::vector q_182; - q_182.push_back(-0.3704); - q_182.push_back(0.202); - q_182.push_back(0.6365); - - p_coeff.insert(std::make_pair(F182, p_182)); - q_coeff.insert(std::make_pair(F182, q_182)); - - // FM 183 - int F183 = 183; - std::vector p_183; - p_183.push_back(10.09); - p_183.push_back(0.3454); - p_183.push_back(0.584); - - std::vector q_183; - q_183.push_back(-0.4398); - q_183.push_back(0.1448); - q_183.push_back(0.7804); - - p_coeff.insert(std::make_pair(F183, p_183)); - q_coeff.insert(std::make_pair(F183, q_183)); - - // FM 185 - int F185 = 185; - std::vector p_185; - p_185.push_back(2.195); - p_185.push_back(0.1807); - p_185.push_back(0.07939); - - std::vector q_185; - q_185.push_back(-0.8838); - q_185.push_back(0.08234); - q_185.push_back(1.368); - - p_coeff.insert(std::make_pair(F185, p_185)); - q_coeff.insert(std::make_pair(F185, q_185)); - - // FM 186 - int F186 = 186; - std::vector p_186; - p_186.push_back(0.9183); - p_186.push_back(0.1224); - p_186.push_back(0.02969); - - std::vector q_186; - q_186.push_back(-1.306); - q_186.push_back(0.04578); - q_186.push_back(1.908); - - p_coeff.insert(std::make_pair(F186, p_186)); - q_coeff.insert(std::make_pair(F186, q_186)); - - // FM 188 - int F188 = 188; - std::vector p_188; - p_188.push_back(0.4789); - p_188.push_back(0.07735); - p_188.push_back(0.0195); - - std::vector q_188; - q_188.push_back(-1.68); - q_188.push_back(0.02617); - q_188.push_back(2.451); - - p_coeff.insert(std::make_pair(F188, p_188)); - q_coeff.insert(std::make_pair(F188, q_188)); - - // FM 189 - int F189 = 189; - std::vector p_189; - p_189.push_back(0.3229); - p_189.push_back(0.07716); - p_189.push_back(0.01346); - - std::vector q_189; - q_189.push_back(-1.916); - q_189.push_back(0.02961); - q_189.push_back(2.816); - - p_coeff.insert(std::make_pair(F189, p_189)); - q_coeff.insert(std::make_pair(F189, q_189)); - } - - if (scenario == 2) - { - // Populate them - // FM 101 - int F101 = 101; - std::vector p_101; - p_101.push_back(4.941); - p_101.push_back(0.7086); - p_101.push_back(0.2124); - - std::vector q_101; - q_101.push_back(-0.4535); - q_101.push_back(0.2682); - q_101.push_back(0.777); - - p_coeff.insert(std::make_pair(F101, p_101)); - q_coeff.insert(std::make_pair(F101, q_101)); - - // FM 102 - int F102 = 102; - std::vector p_102; - p_102.push_back(0.8112); - p_102.push_back(0.3045); - p_102.push_back(0.02528); - - std::vector q_102; - q_102.push_back(-1.036); - q_102.push_back(0.1385); - q_102.push_back(1.561); - - p_coeff.insert(std::make_pair(F102, p_102)); - q_coeff.insert(std::make_pair(F102, q_102)); - - // FM 103 - int F103 = 103; - std::vector p_103; - p_103.push_back(0.3609); - p_103.push_back(0.2318); - p_103.push_back(0.01738); - - std::vector q_103; - q_103.push_back(-1.273); - q_103.push_back(0.1135); - q_103.push_back(1.966); - - p_coeff.insert(std::make_pair(F103, p_103)); - q_coeff.insert(std::make_pair(F103, q_103)); - - // FM 104 - int F104 = 104; - std::vector p_104; - p_104.push_back(0.1486); - p_104.push_back(0.153); - p_104.push_back(0.004652); - - std::vector q_104; - q_104.push_back(-1.98); - q_104.push_back(0.06712); - q_104.push_back(2.744); - - p_coeff.insert(std::make_pair(F104, p_104)); - q_coeff.insert(std::make_pair(F104, q_104)); - - // FM 105 - int F105 = 105; - std::vector p_105; - p_105.push_back(0.0681); - p_105.push_back(0.07832); - p_105.push_back(0.002926); - - std::vector q_105; - q_105.push_back(-2.578); - q_105.push_back(0.03345); - q_105.push_back(3.694); - - p_coeff.insert(std::make_pair(F105, p_105)); - q_coeff.insert(std::make_pair(F105, q_105)); - - // FM 106 - int F106 = 106; - std::vector p_106; - p_106.push_back(0.04896); - p_106.push_back(0.07908); - p_106.push_back(0.001631); - - std::vector q_106; - q_106.push_back(-3.334); - q_106.push_back(0.03012); - q_106.push_back(4.525); - - p_coeff.insert(std::make_pair(F106, p_106)); - q_coeff.insert(std::make_pair(F106, q_106)); - - // FM 107 - int F107 = 107; - std::vector p_107; - p_107.push_back(0.03528); - p_107.push_back(0.07869); - p_107.push_back(0.001315); - - std::vector q_107; - q_107.push_back(-3.658); - q_107.push_back(0.03158); - q_107.push_back(5.09); - - p_coeff.insert(std::make_pair(F107, p_107)); - q_coeff.insert(std::make_pair(F107, q_107)); - - // FM 108 - int F108 = 108; - std::vector p_108; - p_108.push_back(0.04173); - p_108.push_back(0.07796); - p_108.push_back(0.002318); - - std::vector q_108; - q_108.push_back(-3.209); - q_108.push_back(0.03823); - q_108.push_back(4.86); - - p_coeff.insert(std::make_pair(F108, p_108)); - q_coeff.insert(std::make_pair(F108, q_108)); - - // FM 121 - - int F121 = 121; - std::vector p_121; - p_121.push_back(1.64); - p_121.push_back(0.2795); - p_121.push_back(0.05015); - - std::vector q_121; - q_121.push_back(-0.9854); - q_121.push_back(0.1202); - q_121.push_back(1.392); - - p_coeff.insert(std::make_pair(F121, p_121)); - q_coeff.insert(std::make_pair(F121, q_121)); - - // FM 122 - - int F122 = 122; - std::vector p_122; - p_122.push_back(0.4834); - p_122.push_back(0.1577); - p_122.push_back(0.01499); - - std::vector q_122; - q_122.push_back(-1.486); - q_122.push_back(0.06882); - q_122.push_back(2.084); - - p_coeff.insert(std::make_pair(F122, p_122)); - q_coeff.insert(std::make_pair(F122, q_122)); - - // FM 123 - - int F123 = 123; - std::vector p_123; - p_123.push_back(0.1385); - p_123.push_back(0.08614); - p_123.push_back(0.005977); - - std::vector q_123; - q_123.push_back(-2.108); - q_123.push_back(0.03642); - q_123.push_back(3.029); - - p_coeff.insert(std::make_pair(F123, p_123)); - q_coeff.insert(std::make_pair(F123, q_123)); - - // FM 124 - - int F124 = 124; - std::vector p_124; - p_124.push_back(0.1333); - p_124.push_back(0.07794); - p_124.push_back(0.005812); - - std::vector q_124; - q_124.push_back(-2.963); - q_124.push_back(0.03259); - q_124.push_back(4.318); - - p_coeff.insert(std::make_pair(F124, p_124)); - q_coeff.insert(std::make_pair(F124, q_124)); - - // FM 142 - - int F142 = 142; - std::vector p_142; - p_142.push_back(3.016); - p_142.push_back(0.1405); - p_142.push_back(0.117); - - std::vector q_142; - q_142.push_back(-0.8923); - q_142.push_back(0.06068); - q_142.push_back(1.351); - - p_coeff.insert(std::make_pair(F142, p_142)); - q_coeff.insert(std::make_pair(F142, q_142)); - - // FM 143 - - int F143 = 143; - std::vector p_143; - p_143.push_back(3.263); - p_143.push_back(0.1853); - p_143.push_back(0.1567); - - std::vector q_143; - q_143.push_back(-0.7716); - q_143.push_back(0.08453); - q_143.push_back(1.244); - - p_coeff.insert(std::make_pair(F143, p_143)); - q_coeff.insert(std::make_pair(F143, q_143)); - - // FM 144 - - int F144 = 144; - std::vector p_144; - p_144.push_back(0.2209); - p_144.push_back(0.1077); - p_144.push_back(0.00858); - - std::vector q_144; - q_144.push_back(-1.841); - q_144.push_back(0.04621); - q_144.push_back(2.634); - - p_coeff.insert(std::make_pair(F144, p_144)); - q_coeff.insert(std::make_pair(F144, q_144)); - - // FM 145 - - int F145 = 145; - std::vector p_145; - p_145.push_back(0.07661); - p_145.push_back(0.07807); - p_145.push_back(0.004418); - - std::vector q_145; - q_145.push_back(-2.425); - q_145.push_back(0.03922); - q_145.push_back(3.681); - - p_coeff.insert(std::make_pair(F145, p_145)); - q_coeff.insert(std::make_pair(F145, q_145)); - - // FM 146 - - int F146 = 146; - std::vector p_146; - p_146.push_back(0.1924); - p_146.push_back(0.07805); - p_146.push_back(0.01232); - - std::vector q_146; - q_146.push_back(-1.864); - q_146.push_back(0.04114); - q_146.push_back(2.908); - - p_coeff.insert(std::make_pair(F146, p_146)); - q_coeff.insert(std::make_pair(F146, q_146)); - - // FM 146 - - int F147 = 147; - std::vector p_147; - p_147.push_back(0.118); - p_147.push_back(0.07792); - p_147.push_back(0.006965); - - std::vector q_147; - q_147.push_back(-2.312); - q_147.push_back(0.03944); - q_147.push_back(3.548); - - p_coeff.insert(std::make_pair(F147, p_147)); - q_coeff.insert(std::make_pair(F147, q_147)); - - // FM 148 - - int F148 = 148; - std::vector p_148; - p_148.push_back(0.1863); - p_148.push_back(0.07774); - p_148.push_back(0.009734); - - std::vector q_148; - q_148.push_back(-2.218); - q_148.push_back(0.03714); - q_148.push_back(3.323); - - p_coeff.insert(std::make_pair(F148, p_148)); - q_coeff.insert(std::make_pair(F148, q_148)); - - // FM 149 - - int F149 = 149; - std::vector p_149; - p_149.push_back(0.1014); - p_149.push_back(0.07776); - p_149.push_back(0.005332); - - std::vector q_149; - q_149.push_back(-2.845); - q_149.push_back(0.03678); - q_149.push_back(4.283); - - p_coeff.insert(std::make_pair(F149, p_149)); - q_coeff.insert(std::make_pair(F149, q_149)); - - // FM 161 - - int F161 = 161; - std::vector p_161; - p_161.push_back(5.028); - p_161.push_back(0.2037); - p_161.push_back(0.1978); - - std::vector q_161; - q_161.push_back(-0.7292); - q_161.push_back(0.08708); - q_161.push_back(1.115); - - p_coeff.insert(std::make_pair(F161, p_161)); - q_coeff.insert(std::make_pair(F161, q_161)); - - // FM 162 - - int F162 = 162; - std::vector p_162; - p_162.push_back(1.128); - p_162.push_back(0.1848); - p_162.push_back(0.03716); - - std::vector q_162; - q_162.push_back(-1.119); - q_162.push_back(0.07944); - q_162.push_back(1.645); - - p_coeff.insert(std::make_pair(F162, p_162)); - q_coeff.insert(std::make_pair(F162, q_162)); - - // FM 163 - - int F163 = 163; - std::vector p_163; - p_163.push_back(0.1554); - p_163.push_back(0.08058); - p_163.push_back(0.006821); - - std::vector q_163; - q_163.push_back(-2.03); - q_163.push_back(0.03518); - q_163.push_back(2.943); - - p_coeff.insert(std::make_pair(F163, p_163)); - q_coeff.insert(std::make_pair(F163, q_163)); - - // FM 164 - - int F164 = 164; - std::vector p_164; - p_164.push_back(0.272); - p_164.push_back(0.07915); - p_164.push_back(0.008083); - - std::vector q_164; - q_164.push_back(-2.345); - q_164.push_back(0.02613); - q_164.push_back(3.187); - - p_coeff.insert(std::make_pair(F164, p_164)); - q_coeff.insert(std::make_pair(F164, q_164)); - - // FM 165 - - int F165 = 165; - std::vector p_165; - p_165.push_back(0.4786); - p_165.push_back(0.0766); - p_165.push_back(0.02979); - - std::vector q_165; - q_165.push_back(-1.676); - q_165.push_back(0.03638); - q_165.push_back(2.685); - - p_coeff.insert(std::make_pair(F165, p_165)); - q_coeff.insert(std::make_pair(F165, q_165)); - - // FM 181 - - int F181 = 181; - std::vector p_181; - p_181.push_back(21.49); - p_181.push_back(0.5351); - p_181.push_back(3.327); - - std::vector q_181; - q_181.push_back(-0.1561); - q_181.push_back(0.1462); - q_181.push_back(0.4506); - - p_coeff.insert(std::make_pair(F181, p_181)); - q_coeff.insert(std::make_pair(F181, q_181)); - - // FM 182 - - int F182 = 182; - std::vector p_182; - p_182.push_back(11.87); - p_182.push_back(0.3804); - p_182.push_back(1.424); - - std::vector q_182; - q_182.push_back(-0.2634); - q_182.push_back(0.2267); - q_182.push_back(0.55); - - p_coeff.insert(std::make_pair(F182, p_182)); - q_coeff.insert(std::make_pair(F182, q_182)); - - // FM 183 - - int F183 = 183; - std::vector p_183; - p_183.push_back(16.14); - p_183.push_back(0.4104); - p_183.push_back(0.9961); - - std::vector q_183; - q_183.push_back(-0.3704); - q_183.push_back(0.2021); - q_183.push_back(0.6365); - - p_coeff.insert(std::make_pair(F183, p_183)); - q_coeff.insert(std::make_pair(F183, q_183)); - - // FM 185 - - int F185 = 185; - std::vector p_185; - p_185.push_back(4.008); - p_185.push_back(0.2228); - p_185.push_back(0.1393); - - std::vector q_185; - q_185.push_back(-0.7146); - q_185.push_back(0.09259); - q_185.push_back(1.158); - - p_coeff.insert(std::make_pair(F185, p_185)); - q_coeff.insert(std::make_pair(F185, q_185)); - - // FM 186 - - int F186 = 186; - std::vector p_186; - p_186.push_back(1.783); - p_186.push_back(0.1537); - p_186.push_back(0.05478); - - std::vector q_186; - q_186.push_back(-1.056); - q_186.push_back(0.06279); - q_186.push_back(1.538); - - p_coeff.insert(std::make_pair(F186, p_186)); - q_coeff.insert(std::make_pair(F186, q_186)); - - // FM 188 - - int F188 = 188; - std::vector p_188; - p_188.push_back(0.8048); - p_188.push_back(0.09159); - p_188.push_back(0.03249); - - std::vector q_188; - q_188.push_back(-1.364); - q_188.push_back(0.03338); - q_188.push_back(2.04); - - p_coeff.insert(std::make_pair(F188, p_188)); - q_coeff.insert(std::make_pair(F188, q_188)); - - // FM 189 - - int F189 = 189; - std::vector p_189; - p_189.push_back(0.4263); - p_189.push_back(0.07714); - p_189.push_back(0.01775); - - std::vector q_189; - q_189.push_back(-1.758); - q_189.push_back(0.03012); - q_189.push_back(2.544); - - p_coeff.insert(std::make_pair(F189, p_189)); - q_coeff.insert(std::make_pair(F189, q_189)); - } - - if (scenario == 3) - { - - // Populate them - // FM 101 - int F101 = 101; - std::vector p_101; - p_101.push_back(10.54); - p_101.push_back(0.9248); - p_101.push_back(0.6665); - - std::vector q_101; - q_101.push_back(-0.2781); - q_101.push_back(0.4427); - q_101.push_back(0.5494); - - p_coeff.insert(std::make_pair(F101, p_101)); - q_coeff.insert(std::make_pair(F101, q_101)); - - // FM 102 - int F102 = 102; - std::vector p_102; - p_102.push_back(9.046); - p_102.push_back(0.6935); - p_102.push_back(0.6243); - - std::vector q_102; - q_102.push_back(-0.2777); - q_102.push_back(0.4381); - q_102.push_back(0.5495); - - p_coeff.insert(std::make_pair(F102, p_102)); - q_coeff.insert(std::make_pair(F102, q_102)); - - // FM 103 - int F103 = 103; - std::vector p_103; - p_103.push_back(1.101); - p_103.push_back(0.2945); - p_103.push_back(0.05263); - - std::vector q_103; - q_103.push_back(-0.864); - q_103.push_back(0.1465); - q_103.push_back(1.422); - - p_coeff.insert(std::make_pair(F103, p_103)); - q_coeff.insert(std::make_pair(F103, q_103)); - - // FM 104 - int F104 = 104; - std::vector p_104; - p_104.push_back(2.828); - p_104.push_back(0.4191); - p_104.push_back(0.1083); - - std::vector q_104; - q_104.push_back(-0.6279); - q_104.push_back(0.2175); - q_104.push_back(1.004); - - p_coeff.insert(std::make_pair(F104, p_104)); - q_coeff.insert(std::make_pair(F104, q_104)); - - // FM 105 - int F105 = 105; - std::vector p_105; - p_105.push_back(0.2066); - p_105.push_back(0.09646); - p_105.push_back(0.008649); - - std::vector q_105; - q_105.push_back(-1.891); - q_105.push_back(0.04173); - q_105.push_back(2.707); - - p_coeff.insert(std::make_pair(F105, p_105)); - q_coeff.insert(std::make_pair(F105, q_105)); - - // FM 106 - int F106 = 106; - std::vector p_106; - p_106.push_back(0.1252); - p_106.push_back(0.07909); - p_106.push_back(0.004167); - - std::vector q_106; - q_106.push_back(-2.484); - q_106.push_back(0.0302); - q_106.push_back(3.375); - - p_coeff.insert(std::make_pair(F106, p_106)); - q_coeff.insert(std::make_pair(F106, q_106)); - - // FM 107 - int F107 = 107; - std::vector p_107; - p_107.push_back(0.2693); - p_107.push_back(0.1079); - p_107.push_back(0.009412); - - std::vector q_107; - q_107.push_back(-1.823); - q_107.push_back(0.04448); - q_107.push_back(2.545); - - p_coeff.insert(std::make_pair(F107, p_107)); - q_coeff.insert(std::make_pair(F107, q_107)); - - // FM 108 - int F108 = 108; - std::vector p_108; - p_108.push_back(0.09611); - p_108.push_back(0.07795); - p_108.push_back(0.005342); - - std::vector q_108; - q_108.push_back(-2.517); - q_108.push_back(0.03868); - q_108.push_back(3.788); - - p_coeff.insert(std::make_pair(F108, p_108)); - q_coeff.insert(std::make_pair(F108, q_108)); - - // FM 121 - - int F121 = 121; - std::vector p_121; - p_121.push_back(25.52); - p_121.push_back(0.7635); - p_121.push_back(1.428); - - std::vector q_121; - q_121.push_back(-0.1525); - q_121.push_back(0.4017); - q_121.push_back(0.4484); - - p_coeff.insert(std::make_pair(F121, p_121)); - q_coeff.insert(std::make_pair(F121, q_121)); - - // FM 122 - - int F122 = 122; - std::vector p_122; - p_122.push_back(8.922); - p_122.push_back(0.4899); - p_122.push_back(0.3328); - - std::vector q_122; - q_122.push_back(-0.4465); - q_122.push_back(0.1749); - q_122.push_back(0.7789); - - p_coeff.insert(std::make_pair(F122, p_122)); - q_coeff.insert(std::make_pair(F122, q_122)); - - // FM 123 - - int F123 = 123; - std::vector p_123; - p_123.push_back(5.884); - p_123.push_back(0.3888); - p_123.push_back(0.2259); - - std::vector q_123; - q_123.push_back(-0.5876); - q_123.push_back(0.1976); - q_123.push_back(0.8988); - - p_coeff.insert(std::make_pair(F123, p_123)); - q_coeff.insert(std::make_pair(F123, q_123)); - - // FM 124 - - int F124 = 124; - std::vector p_124; - p_124.push_back(0.6756); - p_124.push_back(0.07785); - p_124.push_back(0.02949); - - std::vector q_124; - q_124.push_back(-1.518); - q_124.push_back(0.03362); - q_124.push_back(2.179); - - p_coeff.insert(std::make_pair(F124, p_124)); - q_coeff.insert(std::make_pair(F124, q_124)); - - // FM 142 - - int F142 = 142; - std::vector p_142; - p_142.push_back(10.39); - p_142.push_back(0.2182); - p_142.push_back(0.3807); - - std::vector q_142; - q_142.push_back(-0.5648); - q_142.push_back(0.1069); - q_142.push_back(0.9037); - - p_coeff.insert(std::make_pair(F142, p_142)); - q_coeff.insert(std::make_pair(F142, q_142)); - - // FM 143 - - int F143 = 143; - std::vector p_143; - p_143.push_back(5.59); - p_143.push_back(0.2107); - p_143.push_back(0.254); - - std::vector q_143; - q_143.push_back(-0.6817); - q_143.push_back(0.1007); - q_143.push_back(1.064); - - p_coeff.insert(std::make_pair(F143, p_143)); - q_coeff.insert(std::make_pair(F143, q_143)); - - // FM 144 - - int F144 = 144; - std::vector p_144; - p_144.push_back(5.257); - p_144.push_back(0.3809); - p_144.push_back(0.1807); - - std::vector q_144; - q_144.push_back(-0.6294); - q_144.push_back(0.1919); - q_144.push_back(0.9523); - - p_coeff.insert(std::make_pair(F144, p_144)); - q_coeff.insert(std::make_pair(F144, q_144)); - - // FM 145 - - int F145 = 145; - std::vector p_145; - p_145.push_back(0.1073); - p_145.push_back(0.0781); - p_145.push_back(0.00619); - - std::vector q_145; - q_145.push_back(-2.173); - q_145.push_back(0.04044); - q_145.push_back(3.293); - - p_coeff.insert(std::make_pair(F145, p_145)); - q_coeff.insert(std::make_pair(F145, q_145)); - - // FM 146 - - int F146 = 146; - std::vector p_146; - p_146.push_back(0.2664); - p_146.push_back(0.07788); - p_146.push_back(0.01707); - - std::vector q_146; - q_146.push_back(-1.698); - q_146.push_back(0.03934); - q_146.push_back(2.652); - - p_coeff.insert(std::make_pair(F146, p_146)); - q_coeff.insert(std::make_pair(F146, q_146)); - - // FM 146 - - int F147 = 147; - std::vector p_147; - p_147.push_back(0.1651); - p_147.push_back(0.07791); - p_147.push_back(0.009743); - - std::vector q_147; - q_147.push_back(-2.084); - q_147.push_back(0.03998); - q_147.push_back(3.193); - - p_coeff.insert(std::make_pair(F147, p_147)); - q_coeff.insert(std::make_pair(F147, q_147)); - - // FM 148 - - int F148 = 148; - std::vector p_148; - p_148.push_back(0.2704); - p_148.push_back(0.07765); - p_148.push_back(0.0141); - - std::vector q_148; - q_148.push_back(-1.978); - q_148.push_back(0.03601); - q_148.push_back(2.975); - - p_coeff.insert(std::make_pair(F148, p_148)); - q_coeff.insert(std::make_pair(F148, q_148)); - - // FM 149 - - int F149 = 149; - std::vector p_149; - p_149.push_back(0.1391); - p_149.push_back(0.07771); - p_149.push_back(0.007329); - - std::vector q_149; - q_149.push_back(-2.626); - q_149.push_back(0.03657); - q_149.push_back(3.945); - - p_coeff.insert(std::make_pair(F149, p_149)); - q_coeff.insert(std::make_pair(F149, q_149)); - - // FM 161 - - int F161 = 161; - std::vector p_161; - p_161.push_back(3180); - p_161.push_back(1.235); - p_161.push_back(3.332); - - std::vector q_161; - q_161.push_back(-0.1562); - q_161.push_back(0.1467); - q_161.push_back(0.4505); - - p_coeff.insert(std::make_pair(F161, p_161)); - q_coeff.insert(std::make_pair(F161, q_161)); - - // FM 162 - - int F162 = 162; - std::vector p_162; - p_162.push_back(1.631); - p_162.push_back(0.2024); - p_162.push_back(0.05519); - - std::vector q_162; - q_162.push_back(-0.9908); - q_162.push_back(0.08943); - q_162.push_back(1.472); - - p_coeff.insert(std::make_pair(F162, p_162)); - q_coeff.insert(std::make_pair(F162, q_162)); - - // FM 163 - - int F163 = 163; - std::vector p_163; - p_163.push_back(0.3075); - p_163.push_back(0.09702); - p_163.push_back(0.01307); - - std::vector q_163; - q_163.push_back(-1.705); - q_163.push_back(0.04277); - q_163.push_back(2.452); - - p_coeff.insert(std::make_pair(F163, p_163)); - q_coeff.insert(std::make_pair(F163, q_163)); - - // FM 164 - - int F164 = 164; - std::vector p_164; - p_164.push_back(0.4047); - p_164.push_back(0.0793); - p_164.push_back(0.01199); - - std::vector q_164; - q_164.push_back(-2.052); - q_164.push_back(0.02663); - q_164.push_back(2.765); - - p_coeff.insert(std::make_pair(F164, p_164)); - q_coeff.insert(std::make_pair(F164, q_164)); - - // FM 165 - - int F165 = 165; - std::vector p_165; - p_165.push_back(0.6448); - p_165.push_back(0.07668); - p_165.push_back(0.03998); - - std::vector q_165; - q_165.push_back(-1.521); - q_165.push_back(0.03838); - q_165.push_back(2.417); - - p_coeff.insert(std::make_pair(F165, p_165)); - q_coeff.insert(std::make_pair(F165, q_165)); - - // FM 181 - - int F181 = 181; - std::vector p_181; - p_181.push_back(1800); - p_181.push_back(1.178); - p_181.push_back(4.999); - - std::vector q_181; - q_181.push_back(0.0); - q_181.push_back(0.0); - q_181.push_back(0.0); - - p_coeff.insert(std::make_pair(F181, p_181)); - q_coeff.insert(std::make_pair(F181, q_181)); - - // FM 182 - - int F182 = 182; - std::vector p_182; - p_182.push_back(38.8); - p_182.push_back(0.5491); - p_182.push_back(1.989); - - std::vector q_182; - q_182.push_back(-0.2492); - q_182.push_back(0.1422); - q_182.push_back(0.5509); - - p_coeff.insert(std::make_pair(F182, p_182)); - q_coeff.insert(std::make_pair(F182, q_182)); - - // FM 183 - - int F183 = 183; - std::vector p_183; - p_183.push_back(11.37); - p_183.push_back(0.3397); - p_183.push_back(1.244); - - std::vector q_183; - q_183.push_back(-0.3582); - q_183.push_back(0.1543); - q_183.push_back(0.6369); - - p_coeff.insert(std::make_pair(F183, p_183)); - q_coeff.insert(std::make_pair(F183, q_183)); - - // FM 185 - - int F185 = 185; - std::vector p_185; - p_185.push_back(5.163); - p_185.push_back(0.2396); - p_185.push_back(0.1943); - - std::vector q_185; - q_185.push_back(-0.6817); - q_185.push_back(0.1007); - q_185.push_back(1.064); - - p_coeff.insert(std::make_pair(F185, p_185)); - q_coeff.insert(std::make_pair(F185, q_185)); - - // FM 186 - - int F186 = 186; - std::vector p_186; - p_186.push_back(2.555); - p_186.push_back(0.171); - p_186.push_back(0.07786); - - std::vector q_186; - q_186.push_back(-0.9478); - q_186.push_back(0.07391); - q_186.push_back(1.375); - - p_coeff.insert(std::make_pair(F186, p_186)); - q_coeff.insert(std::make_pair(F186, q_186)); - - // FM 188 - - int F188 = 188; - std::vector p_188; - p_188.push_back(1.294); - p_188.push_back(0.1085); - p_188.push_back(0.04999); - - std::vector q_188; - q_188.push_back(-1.184); - q_188.push_back(0.04144); - q_188.push_back(1.768); - - p_coeff.insert(std::make_pair(F188, p_188)); - q_coeff.insert(std::make_pair(F188, q_188)); - - // FM 189 - - int F189 = 189; - std::vector p_189; - p_189.push_back(0.534); - p_189.push_back(0.07749); - p_189.push_back(0.02216); - - std::vector q_189; - q_189.push_back(-1.624); - q_189.push_back(0.02893); - q_189.push_back(2.369); - - p_coeff.insert(std::make_pair(F189, p_189)); - q_coeff.insert(std::make_pair(F189, q_189)); - } - - if (scenario == 4) - { - // Populate them - // FM 101 - int F101 = 101; - std::vector p_101; - std::vector q_101; - p_101.push_back(0.); - p_101.push_back(0.); - p_101.push_back(-1.); - q_101.push_back(0.); - q_101.push_back(0.); - q_101.push_back(0.); - p_coeff.insert(std::make_pair(F101, p_101)); - q_coeff.insert(std::make_pair(F101, q_101)); - - // FM 102 - int F102 = 102; - std::vector p_102; - std::vector q_102; - p_102.push_back(0.); - p_102.push_back(0.); - p_102.push_back(-1.); - q_102.push_back(0.); - q_102.push_back(0.); - q_102.push_back(0.); - p_coeff.insert(std::make_pair(F102, p_102)); - q_coeff.insert(std::make_pair(F102, q_102)); - - // FM 103 - int F103 = 103; - std::vector p_103; - p_103.push_back(1.02e+04); - p_103.push_back(2.51); - p_103.push_back(10); - - std::vector q_103; - q_103.push_back(-0.3984); - q_103.push_back(0.6339); - q_103.push_back(0.3173); - - p_coeff.insert(std::make_pair(F103, p_103)); - q_coeff.insert(std::make_pair(F103, q_103)); - - // FM 104 - int F104 = 104; - std::vector p_104; - p_104.push_back(1706); - p_104.push_back(5.835); - p_104.push_back(4.999); - - std::vector q_104; - q_104.push_back(-0.3984); - q_104.push_back(0.6331); - q_104.push_back(0.3173); - - p_coeff.insert(std::make_pair(F104, p_104)); - q_coeff.insert(std::make_pair(F104, q_104)); - - // FM 105 - int F105 = 105; - std::vector p_105; - p_105.push_back(24.51); - p_105.push_back(0.6818); - p_105.push_back(1.665); - - std::vector q_105; - q_105.push_back(-0.1528); - q_105.push_back(0.4083); - q_105.push_back(0.4483); - - p_coeff.insert(std::make_pair(F105, p_105)); - q_coeff.insert(std::make_pair(F105, q_105)); - - // FM 106 - int F106 = 106; - std::vector p_106; - std::vector q_106; - p_106.push_back(0.); - p_106.push_back(0.); - p_106.push_back(-1.); - q_106.push_back(0.); - q_106.push_back(0.); - q_106.push_back(0.); - p_coeff.insert(std::make_pair(F106, p_106)); - q_coeff.insert(std::make_pair(F106, q_106)); - - // FM 107 - int F107 = 107; - std::vector p_107; - p_107.push_back(8.706); - p_107.push_back(0.397); - p_107.push_back(0.3983); - - std::vector q_107; - q_107.push_back(-0.5259); - q_107.push_back(0.19); - q_107.push_back(0.7787); - - p_coeff.insert(std::make_pair(F107, p_107)); - q_coeff.insert(std::make_pair(F107, q_107)); - - // FM 108 - int F108 = 108; - std::vector p_108; - p_108.push_back(29.63); - p_108.push_back(0.6425); - p_108.push_back(1.246); - - std::vector q_108; - q_108.push_back(-0.2634); - q_108.push_back(0.2268); - q_108.push_back(0.55); - - p_coeff.insert(std::make_pair(F108, p_108)); - q_coeff.insert(std::make_pair(F108, q_108)); - - // FM 121 - - int F121 = 121; - std::vector p_121; - p_121.push_back(1.02e+04); - p_121.push_back(2.505); - p_121.push_back(10); - - std::vector q_121; - q_121.push_back(-0.3942); - q_121.push_back(0.6206); - q_121.push_back(0.3174); - - p_coeff.insert(std::make_pair(F121, p_121)); - q_coeff.insert(std::make_pair(F121, q_121)); - - // FM 122 - - int F122 = 122; - std::vector p_122; - p_122.push_back(25.02); - p_122.push_back(0.7935); - p_122.push_back(2); - - std::vector q_122; - q_122.push_back(-0.153); - q_122.push_back(0.4129); - q_122.push_back(0.4483); - - p_coeff.insert(std::make_pair(F122, p_122)); - q_coeff.insert(std::make_pair(F122, q_122)); - - // FM 123 - - int F123 = 123; - std::vector p_123; - p_123.push_back(2423); - p_123.push_back(5.898); - p_123.push_back(3.333); - - std::vector q_123; - q_123.push_back(-0.271); - q_123.push_back(0.2323); - q_123.push_back(0.4489); - - p_coeff.insert(std::make_pair(F123, p_123)); - q_coeff.insert(std::make_pair(F123, q_123)); - - // FM 124 - - int F124 = 124; - std::vector p_124; - p_124.push_back(3.313); - p_124.push_back(0.1361); - p_124.push_back(0.1345); - - std::vector q_124; - q_124.push_back(-0.8735); - q_124.push_back(0.06301); - q_124.push_back(1.305); - - p_coeff.insert(std::make_pair(F124, p_124)); - q_coeff.insert(std::make_pair(F124, q_124)); - - // FM 142 - - int F142 = 142; - std::vector p_142; - p_142.push_back(23.95); - p_142.push_back(0.3007); - p_142.push_back(0.9045); - - std::vector q_142; - q_142.push_back(-0.4438); - q_142.push_back(0.1155); - q_142.push_back(0.7152); - - p_coeff.insert(std::make_pair(F142, p_142)); - q_coeff.insert(std::make_pair(F142, q_142)); - - // FM 143 - - int F143 = 143; - std::vector p_143; - p_143.push_back(8.823); - p_143.push_back(0.2347); - p_143.push_back(0.3672); - - std::vector q_143; - q_143.push_back(-0.602); - q_143.push_back(0.1209); - q_143.push_back(0.9543); - - p_coeff.insert(std::make_pair(F143, p_143)); - q_coeff.insert(std::make_pair(F143, q_143)); - - // FM 144 - - int F144 = 144; - std::vector p_144; - p_144.push_back(6.334); - p_144.push_back(0.3903); - p_144.push_back(0.2486); - - std::vector q_144; - q_144.push_back(-0.5751); - q_144.push_back(0.1717); - q_144.push_back(0.8994); - - p_coeff.insert(std::make_pair(F144, p_144)); - q_coeff.insert(std::make_pair(F144, q_144)); - - // FM 145 - - int F145 = 145; - std::vector p_145; - p_145.push_back(0.7965); - p_145.push_back(0.168); - p_145.push_back(0.04058); - - std::vector q_145; - q_145.push_back(-1.156); - q_145.push_back(0.08584); - q_145.push_back(1.756); - - p_coeff.insert(std::make_pair(F145, p_145)); - q_coeff.insert(std::make_pair(F145, q_145)); - - // FM 146 - - int F146 = 146; - std::vector p_146; - p_146.push_back(0.3421); - p_146.push_back(0.07793); - p_146.push_back(0.02181); - - std::vector q_146; - q_146.push_back(-1.558); - q_146.push_back(0.0402); - q_146.push_back(2.452); - - p_coeff.insert(std::make_pair(F146, p_146)); - q_coeff.insert(std::make_pair(F146, q_146)); - - // FM 146 - - int F147 = 147; - std::vector p_147; - p_147.push_back(0.9702); - p_147.push_back(0.1314); - p_147.push_back(0.05167); - - std::vector q_147; - q_147.push_back(-1.118); - q_147.push_back(0.0653); - q_147.push_back(1.746); - - p_coeff.insert(std::make_pair(F147, p_147)); - q_coeff.insert(std::make_pair(F147, q_147)); - - // FM 148 - - int F148 = 148; - std::vector p_148; - p_148.push_back(1.44); - p_148.push_back(0.1175); - p_148.push_back(0.07096); - - std::vector q_148; - q_148.push_back(-1.079); - q_148.push_back(0.05247); - q_148.push_back(1.652); - - p_coeff.insert(std::make_pair(F148, p_148)); - q_coeff.insert(std::make_pair(F148, q_148)); - - // FM 149 - - int F149 = 149; - std::vector p_149; - p_149.push_back(0.4281); - p_149.push_back(0.07778); - p_149.push_back(0.02246); - - std::vector q_149; - q_149.push_back(-1.631); - q_149.push_back(0.03661); - q_149.push_back(2.479); - - p_coeff.insert(std::make_pair(F149, p_149)); - q_coeff.insert(std::make_pair(F149, q_149)); - - // FM 161 - - int F161 = 161; - std::vector p_161; - p_161.push_back(1819); - p_161.push_back(1.18); - p_161.push_back(4.999); - - std::vector q_161; - q_161.push_back(-0.3084); - q_161.push_back(6.721); - q_161.push_back(0.3162); - - p_coeff.insert(std::make_pair(F161, p_161)); - q_coeff.insert(std::make_pair(F161, q_161)); - - // FM 162 - - int F162 = 162; - std::vector p_162; - p_162.push_back(2.199); - p_162.push_back(0.2162); - p_162.push_back(0.07223); - - std::vector q_162; - q_162.push_back(-0.9267); - q_162.push_back(0.09552); - q_162.push_back(1.36); - - p_coeff.insert(std::make_pair(F162, p_162)); - q_coeff.insert(std::make_pair(F162, q_162)); - - // FM 163 - - int F163 = 163; - std::vector p_163; - p_163.push_back(4.902); - p_163.push_back(0.2927); - p_163.push_back(0.1805); - - std::vector q_163; - q_163.push_back(-0.6625); - q_163.push_back(0.1263); - q_163.push_back(1.058); - - p_coeff.insert(std::make_pair(F163, p_163)); - q_coeff.insert(std::make_pair(F163, q_163)); - - // FM 164 - - int F164 = 164; - std::vector p_164; - std::vector q_164; - p_164.push_back(0.); - p_164.push_back(0.); - p_164.push_back(-1.); - q_164.push_back(0.); - q_164.push_back(0.); - q_164.push_back(0.); - p_coeff.insert(std::make_pair(F164, p_164)); - q_coeff.insert(std::make_pair(F164, q_164)); - - // FM 165 - - int F165 = 165; - std::vector p_165; - p_165.push_back(0.817); - p_165.push_back(0.07709); - p_165.push_back(0.05013); - - std::vector q_165; - q_165.push_back(-1.425); - q_165.push_back(0.03706); - q_165.push_back(2.275); - - p_coeff.insert(std::make_pair(F165, p_165)); - q_coeff.insert(std::make_pair(F165, q_165)); - - // FM 181 - - int F181 = 181; - std::vector p_181; - p_181.push_back(1804); - p_181.push_back(1.178); - p_181.push_back(4.999); - - std::vector q_181; - q_181.push_back(0.0); - q_181.push_back(0.0); - q_181.push_back(0.0); - - p_coeff.insert(std::make_pair(F181, p_181)); - q_coeff.insert(std::make_pair(F181, q_181)); - - // FM 182 - - int F182 = 182; - std::vector p_182; - p_182.push_back(26.13); - p_182.push_back(0.5009); - p_182.push_back(2.488); - - std::vector q_182; - q_182.push_back(-0.1525); - q_182.push_back(0.4025); - q_182.push_back(0.4484); - - p_coeff.insert(std::make_pair(F182, p_182)); - q_coeff.insert(std::make_pair(F182, q_182)); - - // FM 183 - - int F183 = 183; - std::vector p_183; - p_183.push_back(19.31); - p_183.push_back(0.4546); - p_183.push_back(1.428); - - std::vector q_183; - q_183.push_back(-0.2634); - q_183.push_back(0.2268); - q_183.push_back(0.55); - - p_coeff.insert(std::make_pair(F183, p_183)); - q_coeff.insert(std::make_pair(F183, q_183)); - - // FM 185 - - int F185 = 185; - std::vector p_185; - p_185.push_back(5.518); - p_185.push_back(0.2432); - p_185.push_back(0.2307); - - std::vector q_185; - q_185.push_back(-0.6166); - q_185.push_back(0.1085); - q_185.push_back(1.011); - - p_coeff.insert(std::make_pair(F185, p_185)); - q_coeff.insert(std::make_pair(F185, q_185)); - - // FM 186 - - int F186 = 186; - std::vector p_186; - p_186.push_back(2.956); - p_186.push_back(0.1765); - p_186.push_back(0.09361); - - std::vector q_186; - q_186.push_back(-0.8538); - q_186.push_back(0.07918); - q_186.push_back(1.292); - - p_coeff.insert(std::make_pair(F186, p_186)); - q_coeff.insert(std::make_pair(F186, q_186)); - - // FM 188 - - int F188 = 188; - std::vector p_188; - p_188.push_back(1.736); - p_188.push_back(0.1188); - p_188.push_back(0.06593); - - std::vector q_188; - q_188.push_back(-1.076); - q_188.push_back(0.04976); - q_188.push_back(1.599); - - p_coeff.insert(std::make_pair(F188, p_188)); - q_coeff.insert(std::make_pair(F188, q_188)); - - // FM 189 - - int F189 = 189; - std::vector p_189; - p_189.push_back(0.6251); - p_189.push_back(0.07753); - p_189.push_back(0.02607); - - std::vector q_189; - q_189.push_back(-1.505); - q_189.push_back(0.03052); - q_189.push_back(2.216); - - p_coeff.insert(std::make_pair(F189, p_189)); - q_coeff.insert(std::make_pair(F189, q_189)); - } - - // Fuel Model Parameters for Crown Fire - std::vector fp_101; - fp_101.push_back(0.1 + 0.0 + 0.0 + 0.3 + 0.0); - fp_101.push_back(8000); - fm_parameters.insert(std::make_pair(101, fp_101)); - - std::vector fp_102; - fp_102.push_back(0.1 + 0.0 + 0.0 + 1.0 + 0.0); - fp_102.push_back(8000); - fm_parameters.insert(std::make_pair(102, fp_102)); - - std::vector fp_103; - fp_103.push_back(0.1 + 0.4 + 0.0 + 1.5 + 0.0); - fp_103.push_back(8000); - fm_parameters.insert(std::make_pair(103, fp_103)); - - std::vector fp_104; - fp_104.push_back(0.25 + 0.0 + 0.0 + 1.9 + 0.0); - fp_104.push_back(8000); - fm_parameters.insert(std::make_pair(104, fp_104)); - - std::vector fp_105; - fp_105.push_back(0.4 + 0.0 + 0.0 + 2.5 + 0.0); - fp_105.push_back(8000); - fm_parameters.insert(std::make_pair(105, fp_105)); - - std::vector fp_106; - fp_106.push_back(0.1 + 0.0 + 0.0 + 3.4 + 0.0); - fp_106.push_back(9000); - fm_parameters.insert(std::make_pair(106, fp_106)); - - std::vector fp_107; - fp_107.push_back(1.0 + 0.0 + 0.0 + 5.4 + 0.0); - fp_107.push_back(8000); - fm_parameters.insert(std::make_pair(107, fp_107)); - - std::vector fp_108; - fp_108.push_back(0.5 + 1.0 + 0.0 + 7.3 + 0.0); - fp_108.push_back(8000); - fm_parameters.insert(std::make_pair(108, fp_108)); - - std::vector fp_121; - fp_121.push_back(0.2 + 0.0 + 0.0 + 0.5 + 0.65); - fp_121.push_back(8000); - fm_parameters.insert(std::make_pair(121, fp_121)); - - std::vector fp_122; - fp_122.push_back(0.5 + 0.5 + 0.0 + 0.6 + 1.0); - fp_122.push_back(8000); - fm_parameters.insert(std::make_pair(122, fp_122)); - - std::vector fp_123; - fp_123.push_back(0.3 + 0.25 + 0.0 + 1.45 + 1.25); - fp_123.push_back(8000); - fm_parameters.insert(std::make_pair(123, fp_123)); - - std::vector fp_124; - fp_124.push_back(1.9 + 0.3 + 0.1 + 3.4 + 7.1); - fp_124.push_back(8000); - fm_parameters.insert(std::make_pair(124, fp_124)); - - std::vector fp_142; - fp_142.push_back(1.35 + 2.4 + 0.75 + 0.0 + 3.85); - fp_142.push_back(8000); - fm_parameters.insert(std::make_pair(142, fp_142)); - - std::vector fp_143; - fp_143.push_back(0.45 + 3.0 + 0.0 + 0.0 + 6.2); - fp_143.push_back(8000); - fm_parameters.insert(std::make_pair(143, fp_143)); - - std::vector fp_144; - fp_144.push_back(0.85 + 1.15 + 0.2 + 0.0 + 2.55); - fp_144.push_back(8000); - fm_parameters.insert(std::make_pair(144, fp_144)); - - std::vector fp_145; - fp_145.push_back(3.6 + 2.1 + 0.0 + 0.0 + 2.9); - fp_145.push_back(8000); - fm_parameters.insert(std::make_pair(145, fp_145)); - - std::vector fp_146; - fp_146.push_back(2.9 + 1.45 + 0.0 + 0.0 + 1.4); - fp_146.push_back(8000); - fm_parameters.insert(std::make_pair(146, fp_146)); - - std::vector fp_147; - fp_147.push_back(3.5 + 5.3 + 2.2 + 0.0 + 3.4); - fp_147.push_back(8000); - fm_parameters.insert(std::make_pair(147, fp_147)); - - std::vector fp_148; - fp_148.push_back(2.05 + 3.4 + 0.85 + 0.0 + 4.35); - fp_148.push_back(8000); - fm_parameters.insert(std::make_pair(148, fp_148)); - - std::vector fp_149; - fp_149.push_back(4.5 + 2.45 + 0.0 + 1.55 + 7.0); - fp_149.push_back(8000); - fm_parameters.insert(std::make_pair(149, fp_149)); - - std::vector fp_161; - fp_161.push_back(0.2 + 0.9 + 1.5 + 0.2 + 0.9); - fp_161.push_back(8000); - fm_parameters.insert(std::make_pair(161, fp_161)); - - std::vector fp_162; - fp_162.push_back(0.95 + 1.8 + 1.25 + 0.0 + 0.2); - fp_162.push_back(8000); - fm_parameters.insert(std::make_pair(162, fp_162)); - - std::vector fp_163; - fp_163.push_back(1.1 + 0.15 + 0.25 + 0.65 + 1.1); - fp_163.push_back(8000); - fm_parameters.insert(std::make_pair(163, fp_163)); - - std::vector fp_164; - fp_164.push_back(4.5 + 0.0 + 0.0 + 0.0 + 2.0); - fp_164.push_back(8000); - fm_parameters.insert(std::make_pair(164, fp_164)); - - std::vector fp_165; - fp_165.push_back(4.0 + 4.0 + 3.0 + 0.0 + 3.0); - fp_165.push_back(8000); - fm_parameters.insert(std::make_pair(165, fp_165)); - - std::vector fp_181; - fp_181.push_back(1.0 + 2.2 + 3.6 + 0.0 + 0.0); - fp_181.push_back(8000); - fm_parameters.insert(std::make_pair(181, fp_181)); - - std::vector fp_182; - fp_182.push_back(1.4 + 2.3 + 2.2 + 0.0 + 0.0); - fp_182.push_back(8000); - fm_parameters.insert(std::make_pair(182, fp_182)); - - std::vector fp_183; - fp_183.push_back(0.5 + 2.2 + 2.8 + 0.0 + 0.0); - fp_183.push_back(8000); - fm_parameters.insert(std::make_pair(183, fp_183)); - - std::vector fp_185; - fp_185.push_back(1.15 + 2.5 + 4.4 + 0.0 + 0.0); - fp_185.push_back(8000); - fm_parameters.insert(std::make_pair(185, fp_185)); - - std::vector fp_186; - fp_186.push_back(2.4 + 1.2 + 1.2 + 0.0 + 0.0); - fp_186.push_back(8000); - fm_parameters.insert(std::make_pair(186, fp_186)); - - std::vector fp_188; - fp_188.push_back(5.8 + 1.4 + 1.1 + 0.0 + 0.0); - fp_188.push_back(8000); - fm_parameters.insert(std::make_pair(188, fp_188)); - - std::vector fp_189; - fp_189.push_back(6.65 + 3.3 + 4.15 + 0.0 + 0.0); - fp_189.push_back(8000); - fm_parameters.insert(std::make_pair(189, fp_189)); -} - -// TODO: citation needed -float -rate_of_spread_s(inputs* data, fuel_coefs* ptr, main_outs* at, float ws) -{ - float p1, p2, p3; - - p1 = p_coeff[data->nftype][0]; - p2 = p_coeff[data->nftype][1]; - p3 = p_coeff[data->nftype][2]; - // se = slope_effect(inp); - at->rss = 1.0 / (p1 * exp(-p2 * ws) + p3); - - return at->rss * (at->rss >= 0); -} - -// TODO: citation needed -float -flankfire_ros_s(float ros, float bros, float lb) -{ - return ((ros + bros) / (lb * 2.0)); -} - -/* ----------------- Length-to-Breadth --------------------------*/ -// TODO: citation needed -float -l_to_b(float ws) -{ - // if(strncmp(ft,"O1",2)==0)return( ws<1.0 ? 1.0 : (1.1*pow(ws,0.464))); - float alpha, beta, factor; - alpha = 0.2566; - beta = -0.1548; - factor = 1000.0 / 3600.0; - return pow((0.936 * exp(alpha * factor * ws) + 0.461 * exp(beta * factor * ws) - 0.397), 0.45); -} - -/* ----------------- Back Rate of Spread --------------------------*/ -// TODO: citation needed -float -backfire_ros_s(main_outs* at, snd_outs* sec) -{ - float hb, bros, lb; - // lb = l_to_b(data->fueltype,at->wsv); - lb = sec->lb; - hb = (lb + sqrt(pow(lb, 2) - 1.0)) / (lb - sqrt(pow(lb, 2) - 1.0)); - - bros = at->rss / hb; - - return bros * (bros >= 0); -} - -// TODO: citation needed -float -flame_length(inputs* data, fuel_coefs* ptr, float ws) -{ - float q1, q2, q3, fl; - - q1 = q_coeff[data->nftype][0]; - q2 = q_coeff[data->nftype][1]; - q3 = q_coeff[data->nftype][2]; - - fl = pow(q1 * exp(-q2 * ws) + q3, 2); - return fl; -} - -/** - * @brief Calculates the flame length of a cell when there is crown fire. - * @param intensity Byram intensity for crown fires - * @return the flame length - */ - -// TODO: citation needed -float -crown_flame_length(float intensity) -{ - float fl = 0.1 * pow(intensity, 0.5); - if (fl < 0.01) - { - return 0; - } - else - { - return std::ceil(fl * 100.0) / 100.0; - } -} - -// TODO: citation needed -float -byram_intensity(main_outs* at, fuel_coefs* ptr) -{ - float fl, ib; - fl = at->fl; - ib = 259.833 * pow(fl, 2.174); - ib = std::ceil(ib * 100.0) / 100.0; - return ib; -} - -/** - * Calculates byram fire intensity when there is active crown fire. - * In order for this to be calculated, the input folder must contain - * files with CBD, CBH and tree height data for each cell. - * @param at Structure containing the cell's output data. - * @param data Structure containing the cell's input data. - * @return Fire intensity. - */ -// TODO: citation needed -float -crown_byram_intensity(main_outs* at, inputs* data) -{ - float canopy_height; - if (data->tree_height == -9999) - { - canopy_height = data->cbh * 2; - } - else - { - canopy_height = data->tree_height - data->cbh; - } - if (canopy_height < 0) - { - std::cerr << "Tree height is lower than canopy base height, please provide valid files.\n" - "Could not calculate crown Byram intensity due to invalid input data" - << std::endl; - throw std::runtime_error("Could not calculate crown Byram intensity due to invalid input data"); - } - return std::ceil((HEAT_YIELD / 60) * data->cbd * canopy_height * at->ros_active * 100.0) / 100.0; -} - -int -fmc_scen(inputs* data) -{ - int fmc; - fmc = data->FMC; - return fmc; -} - -bool -fire_type(inputs* data, main_outs* at) -{ - float intensity, critical_intensity, cbh; - int fmc; - bool crownFire = false; - - intensity = at->sfi; - cbh = data->cbh; - fmc = fmc_scen(data); - critical_intensity = pow((0.01 * cbh * (460 + 25.9 * fmc)), 1.5); - // TODO: citation needed - if ((intensity > critical_intensity) && cbh != 0) - crownFire = true; - - return crownFire; -} - -// TODO: citation needed -float -rate_of_spread10(inputs* data, arguments* args, float ws) -{ - const float p1 = 0.2802; - const float p2 = 0.07786; - const float p3 = 0.01123; - float ros10 = 1. / (p1 * exp(-p2 * ws * 0.4) + p3); - - float ROS10Factor = args->ROS10Factor; - float CCFFactor = args->CCFFactor; - float CBDFactor = args->CBDFactor; - float ccf = data->ccf; - float cbd = data->cbd; - float ros = ROS10Factor * ros10 + CCFFactor * ccf + CBDFactor * cbd; - return (ros); -} - -// TODO: citation needed -float -final_rate_of_spread10(inputs* data, main_outs* at) -{ - float ros_active, ros_final, ros; - ros = at->rss; - ros_active = at->ros_active; - ros_final = ros + at->cfb * (ros_active - ros); - return (ros_final); -} - -// TODO: citation needed -float -backfire_ros10_s(fire_struc* hptr, snd_outs* sec) -{ - float hb, bros, lb; - lb = sec->lb; - hb = (lb + sqrt(pow(lb, 2) - 1.0)) / (lb - sqrt(pow(lb, 2) - 1.0)); - - bros = hptr->ros / hb; - - return bros; -} - -// TODO: citation needed -float -crownfractionburn(inputs* data, main_outs* at) -{ // generar output de cfb - float a, cbd, ros, ros0, H, wa, i0, cbh, FMC, cfb; - FMC = fmc_scen(data); - ; // modificar para ingresar manualmente - cbh = data->cbh; - i0 = pow((0.01 * cbh * (460 + 25.9 * FMC)), 1.5); - wa = fm_parameters[data->nftype][0]; - H = fm_parameters[data->nftype][1]; - cbd = data->cbd; - ros0 = 60 * i0 / (H * wa); - ros = at->rss; - if (cbd != 0) - { - a = -log(0.1) / (0.9 * (3.0 / cbd - ros0)); - // a=0.23; - } - else - { - a = 0.23; - } - cfb = 1 - exp(-a * (ros - ros0)); - if (cfb < 0) - { - cfb = 0; - } - return cfb; -} - -// TODO: citation needed -bool -checkActive(inputs* data, main_outs* at) // En s&b se usa fm10 -{ - float rac, cbd, H, wa, i0, cbh, fmc; - bool active; - // rac = at->ros_active; - fmc = fmc_scen(data); - ; // modificar para ingresar manualmente - cbh = data->cbh; - i0 = pow((0.01 * cbh * (460 + 25.9 * fmc)), 1.5); - wa = fm_parameters[data->nftype][0]; - H = fm_parameters[data->nftype][1]; - cbd = data->cbd; - rac = 60 * i0 / (H * wa); // rate active crown - - active = cbd * rac >= 3; - return active; -} - -void -calculate_s(inputs* data, - fuel_coefs* ptr, - arguments* args, - main_outs* at, - snd_outs* sec, - fire_struc* hptr, - fire_struc* fptr, - fire_struc* bptr, - bool& activeCrown, - weatherDF* wdf_ptr) -{ - - // Aux - float ros, bros, lb, fros; - bool crownFire = false; - // Populate fuel coefs struct - // ptr->fueltype = data->fueltype; - if (args->verbose) - { - std::cout << "Populate fuel types " << std::endl; - std::cout << "NfTypes:" << data->nftype << std::endl; - std::cout << "scen:" << args->scenario << std::endl; - } - ptr->p1 = p_coeff[data->nftype][0]; - ptr->p2 = p_coeff[data->nftype][1]; - ptr->p3 = p_coeff[data->nftype][2]; - ptr->q1 = q_coeff[data->nftype][0]; - ptr->q2 = q_coeff[data->nftype][1]; - ptr->q3 = q_coeff[data->nftype][2]; - ptr->nftype = data->nftype; - - // Step 1: Calculate HROS (surface) - at->rss = rate_of_spread_s(data, ptr, at, wdf_ptr->ws); - hptr->rss = at->rss; - - // Step 2: Calculate Length-to-breadth - sec->lb = l_to_b(wdf_ptr->ws); - - // Step 3: Calculate BROS (surface) - bptr->rss = backfire_ros_s(at, sec); - - // Step 4: Calculate central FROS (surface) - fptr->rss = flankfire_ros_s(hptr->rss, bptr->rss, sec->lb); - - // Step 5: Ellipse components - at->a = (hptr->rss + bptr->rss) / 2.; - at->b = (hptr->rss + bptr->rss) / (2. * sec->lb); - at->c = (hptr->rss - bptr->rss) / 2.; - - // Step 6: Flame Length - at->fl = flame_length(data, ptr, wdf_ptr->ws); - - // Step 7: Flame angle - at->angle = angleFL(wdf_ptr->ws, at); - - // Step 8: Flame Height - at->fh = flame_height(at); - - // Step 9: Byram Intensity - at->sfi = byram_intensity(at, ptr); - - // Step 10: Criterion for Crown Fire Initiation (no init if user does not - // want to include it) - if (args->AllowCROS && data->cbh != 0 && data->cbd != 0) - { - if (activeCrown) - { - at->ros_active = rate_of_spread10(data, args, wdf_ptr->ws); - if (!checkActive(data, at)) - { - activeCrown = false; - } - } - else - { - crownFire = fire_type(data, at); - if (args->verbose) - { - cout << "Checking crown Fire conditions " << crownFire << "\n"; - } - } - } - else - { - crownFire = false; - activeCrown = false; - } - - // If we have Crown fire, update the ROSs - if (crownFire) - { - at->ros_active = rate_of_spread10(data, args, wdf_ptr->ws); - at->cfb = crownfractionburn(data, at); - - hptr->ros = final_rate_of_spread10(data, at); - at->rss = hptr->ros; - bptr->ros = backfire_ros10_s(hptr, sec); - fptr->ros = flankfire_ros_s(hptr->ros, bptr->ros, sec->lb); - if (args->verbose) - { - cout << "hptr->ros = " << hptr->ros << "\n"; - cout << "bptr->ros = " << bptr->ros << "\n"; - cout << "fptr->ros = " << fptr->ros << "\n"; - } - at->crown_intensity = crown_byram_intensity(at, data); - at->crown_flame_length = crown_flame_length(at->crown_intensity); - - at->a = (hptr->ros + bptr->ros) / 2.; - at->b = (hptr->ros + bptr->ros) / (2. * sec->lb); - at->c = (hptr->ros - bptr->rss) / 2; - at->crown = 1; - activeCrown = true; - } - else if (activeCrown) - { - at->cfb = crownfractionburn(data, - at); // lo calculamos igual porque lo necesitamos para el output - hptr->ros = at->ros_active; - at->rss = hptr->ros; - bptr->ros = backfire_ros10_s(hptr, sec); - fptr->ros = flankfire_ros_s(hptr->ros, bptr->ros, sec->lb); - at->crown_intensity = crown_byram_intensity(at, data); - at->crown_flame_length = crown_flame_length(at->crown_intensity); - - if (args->verbose) - { - cout << "hptr->ros = " << hptr->ros << "\n"; - cout << "bptr->ros = " << bptr->ros << "\n"; - cout << "fptr->ros = " << fptr->ros << "\n"; - } - - at->a = (hptr->ros + bptr->ros) / 2.; - at->b = (hptr->ros + bptr->ros) / (2. * sec->lb); - at->c = (hptr->ros - bptr->rss) / 2; - at->crown = 1; - // std::cout << "ros_activo: " <ros << std::endl; - } - - // Otherwise, use the surface values - else - { - at->crown = 0; - at->cfb = 0; - at->crown_flame_length = 0; - at->crown_intensity = 0; - hptr->ros = hptr->rss; - bptr->ros = bptr->rss; - fptr->ros = fptr->rss; - if (args->verbose) - { - cout << "hptr->ros = " << hptr->ros << "\n"; - cout << "bptr->ros = " << bptr->ros << "\n"; - cout << "fptr->ros = " << fptr->ros << "\n"; - } - } - // if (hptr->ros>100){ - // cout << "hptr->rss = " << hptr->ros << "\n"; - - //} - - if (args->verbose) - { - cout << "--------------- Inputs --------------- \n"; - cout << "ws = " << wdf_ptr->ws << "\n"; - cout << "coef data->cbh = " << data->cbh << "\n"; - cout << "coef ptr->p1 = " << ptr->p1 << "\n"; - cout << "coef ptr->p2 = " << ptr->p2 << "\n"; - cout << "coef ptr->p3 = " << ptr->p3 << "\n"; - cout << "coef ptr->q1 = " << ptr->q1 << "\n"; - cout << "coef ptr->q2 = " << ptr->q2 << "\n"; - cout << "coef ptr->q3 = " << ptr->q3 << "\n"; - cout << "\n"; - - cout << "---------------- Outputs --------------- \n"; - cout << "at->rss = " << at->rss << "\n"; - cout << "hptr->rss = " << hptr->rss << "\n"; - cout << "lb = " << sec->lb << "\n"; - cout << "bptr->rss = " << bptr->rss << "\n"; - cout << "fptr->rss = " << fptr->rss << "\n"; - cout << "axis a = " << at->a << "\n"; - cout << "axis b = " << at->b << "\n"; - cout << "axis c = " << at->c << "\n"; - cout << "fl = " << at->fl << "\n"; - cout << "angle = " << at->angle << "\n"; - cout << "fh = " << at->fh << "\n"; - cout << "Crown Fire = " << crownFire << "\n"; - } -} - -void -determine_destiny_metrics_s(inputs* data, fuel_coefs* ptr, arguments* args, main_outs* metrics, weatherDF* wdf_ptr) -{ - // Hack: Initialize coefficients - initialize_coeff(args->scenario); - - // Aux - float ros = 0, bros = 0, lb = 0, fros = 0; - bool crownFire = false; - ptr->q1 = q_coeff[data->nftype][0]; - ptr->q2 = q_coeff[data->nftype][1]; - ptr->q3 = q_coeff[data->nftype][2]; - ptr->nftype = data->nftype; - // Step 6: Flame Length - metrics->fl = flame_length(data, ptr, wdf_ptr->ws); - // Step 9: Byram Intensity - metrics->sfi = byram_intensity(metrics, ptr); - // Set cfb value for no crown fire scenario - metrics->cfb = 0; - // Step 10: Criterion for Crown Fire Initiation (no init if user does not - // want to include it) - if (args->AllowCROS) - { - crownFire = fire_type(data, metrics); - if (crownFire) - { - metrics->cfb = crownfractionburn(data, metrics); - metrics->crown_intensity = crown_byram_intensity(metrics, data); - metrics->crown_flame_length = crown_flame_length(metrics->crown_intensity); - } - if (args->verbose) - { - cout << "Checking crown Fire conditions " << crownFire << "\n"; - } - } - else - { - crownFire = false; - } - - metrics->crown = crownFire; -} diff --git a/Cell2Fire/FuelModelKitral.cpp b/Cell2Fire/KitralKernel.cpp similarity index 78% rename from Cell2Fire/FuelModelKitral.cpp rename to Cell2Fire/KitralKernel.cpp index de5a9428..a050325c 100644 --- a/Cell2Fire/FuelModelKitral.cpp +++ b/Cell2Fire/KitralKernel.cpp @@ -3,7 +3,8 @@ __version__ = "3.0" __author__ = "Jaime Carrasco-Barra" __maintainer__ = "Jaime Carrasco-Barra, Matilde Rivas, David Palacios" */ -#include "FuelModelKitral.h" +#include "KitralKernel.h" +#include // int16_t: no llega transitivamente en MinGW/MSVC #include "Cells.h" #include "FuelModelUtils.h" #include "ReadArgs.h" @@ -13,6 +14,21 @@ __maintainer__ = "Jaime Carrasco-Barra, Matilde Rivas, David Palacios" #include #include +// ---- Helpers de humedad del combustible (para --fch-mode) ---- +static float emc_simard(float T, float H) { // EMC Simard (%), T en C, H=RH% + if (H < 10.0f) return 0.03229f + 0.281073f * H - 0.000578f * H * T; + if (H <= 50.0f) return 2.22749f + 0.160107f * H - 0.014784f * T; + return 21.0606f + 0.005565f * H * H - 0.00035f * H * T - 0.483199f * H; +} +static float eta_M(float m) { // damping de humedad de Rothermel, Mx=30% + float r = m / 30.0f; if (r > 1.0f) r = 1.0f; + float e = 1.0f - 2.59f * r + 5.11f * r * r - 3.52f * r * r * r; + return e > 0.0f ? e : 0.0f; +} +static float ff_moist(float m) { // funcion de humedad fina del FFMC/ISI (FBP) + return 91.9f * exp(-0.1386f * m) * (1.0f + pow(m, 5.31f) / 4.93e7f); +} + using namespace std; /* @@ -582,7 +598,8 @@ float rate_of_spread_k(inputs* data, fuel_coefs* ptr, main_outs* at, - weatherDF* wdf_ptr) // incluir efecto pendiente aqui y no afuera + weatherDF* wdf_ptr, + arguments* args) // incluir efecto pendiente aqui y no afuera { float p1, p2, p3, ws, tmp, rh, ch, fmc, fch, fv, ps, fp; // se = slope_effect(inp) ; @@ -598,19 +615,86 @@ rate_of_spread_k(inputs* data, float sigmoid = 1.0 / (1.0 + exp(-steepness * (rh - midpoint))); ch = 4 + 16 * sigmoid - 0.00982 * tmp; fmc = fmcs[data->nftype][0] * 60; // factor de propagacion en m/min - fch = min(51.43, 52.3342 * pow(ch, -1.3035)); - fv = p1 * exp(-p2 * ws) + p3; - if (ps == 0) - { - at->rss = fmc * fch * (fv); + fch = min(51.43, 52.3342 * pow(ch, -1.3035)); // KITRAL (RH/T) + fv = p1 * exp(-p2 * ws) + p3; // KITRAL wind factor + + // ================= Modo de humedad seleccionable (--fch-mode) ================= + // Cada modo define (fch, phi_w). La pendiente (phi_s) y la combinacion vectorial B + // son comunes. Todo anclado a la referencia KITRAL (T=25, RH=40, ws=30 km/h). + // kitral: fch(RH/T), viento fv | emc : EMC(Simard)->etaM(Rothermel) + // ffmc : FFMC->humedad->ff (memoria) | isi : ffmc + viento FBP fW (reemplaza fv) + // bui : isi + efecto buildup BE(BUI) (sequia estacional profunda) + const float fch0 = 4.174f; // fch KITRAL en (T=25, RH=40) + const float m0 = 8.0f; // humedad de combustible de referencia (%) + const std::string& mode = args->FchMode; + float phi_w = fv; // por defecto: viento KITRAL + if (mode == "emc") { + float m = emc_simard(tmp, rh); + fch = fch0 * eta_M(m) / eta_M(m0); + } else if (mode == "ffmc" || mode == "isi" || mode == "bui") { + float F = wdf_ptr->ffmc; + float m = (F <= 0.0f) ? emc_simard(tmp, rh) : 147.2f * (101.0f - F) / (59.5f + F); + fch = fch0 * ff_moist(m) / ff_moist(m0); // humedad fina (con memoria FFMC) + if (mode == "isi" || mode == "bui") { + // viento via funcion FBP fW (exponencial), anclada a fv(30) en ws=30 + float fv30 = p1 * exp(-p2 * 30.0f) + p3; + phi_w = fv30 * exp(0.05039f * (ws - 30.0f)); + } + if (mode == "bui") { // efecto buildup: sequia estacional + float BUI = wdf_ptr->bui; + if (BUI > 0.0f) { + const float q = 0.85f, BUI0 = 60.0f; // buildup effect estilo FBP + float BE = exp(50.0f * log(q) * (1.0f / BUI - 1.0f / BUI0)); + fch *= BE; + } + } } - else - { - at->rss = fmc * fch * (fv + ps); + + // ========== Acondicionamiento espacial de humedad (sunny/shade) ========== + // La humedad del combustible fino muerto se condiciona por celda segun la + // exposicion solar (pendiente + aspecto) y el sombreado de dosel (ccf). + // Umbrias/sombreadas -> mas humedas -> fch menor -> ROS menor. La humedad + // "expuesta" base es EMC(T,RH). Solo frena celdas sombreadas (expuesta = base). + if (args->FmcShading) { + const float dMax = 4.0f; // maximo aumento de humedad por sombra (%) + // ---- posicion solar DINAMICA (cualquier hemisferio) desde lat + fecha/hora ---- + float lat_deg = args->HasLatitude ? args->Latitude : data->lat; // --latitude o lat por celda + float lat_r = lat_deg * M_PI / 180.0f; + float doy = (wdf_ptr->doy > 0.0f) ? wdf_ptr->doy : 15.0f; + float hour = (wdf_ptr->hour > 0.0f) ? wdf_ptr->hour : 12.0f; + float decl = 23.45f * M_PI / 180.0f * sin(2.0f * M_PI * (284.0f + doy) / 365.0f); + float Hang = (hour - 12.0f) * 15.0f * M_PI / 180.0f; // angulo horario (hora solar aprox) + float sin_alt = sin(lat_r) * sin(decl) + cos(lat_r) * cos(decl) * cos(Hang); + sin_alt = (sin_alt < -1.0f) ? -1.0f : (sin_alt > 1.0f ? 1.0f : sin_alt); + float sun_alt = asin(sin_alt); + float cosAz = (sin(decl) - sin_alt * sin(lat_r)) / (cos(sun_alt) * cos(lat_r) + 1e-6f); + cosAz = (cosAz < -1.0f) ? -1.0f : (cosAz > 1.0f ? 1.0f : cosAz); + float sun_az = acos(cosAz); // 0..pi medido desde el NORTE + if (sin(Hang) > 0.0f) sun_az = 2.0f * M_PI - sun_az; // tarde -> lado oeste (auto ambos hemisf.) + // ---- geometria ladera-sol ---- + float slope_r = atan(data->ps / 100.0f); + float aspect = fmod(data->saz + 180.0f, 360.0f) * M_PI / 180.0f; // direccion que enfrenta la ladera + float cos_i; + if (sun_alt <= 0.0f) cos_i = 0.0f; // sol bajo el horizonte (noche): sin secado + else cos_i = cos(slope_r) * sin(sun_alt) + sin(slope_r) * cos(sun_alt) * cos(sun_az - aspect); + float S = cos_i; if (S < 0.0f) S = 0.0f; if (S > 1.0f) S = 1.0f; // exposicion topografica [0,1] + float cc = data->ccf; if (cc < 0.0f) cc = 0.0f; if (cc > 1.0f) cc = 1.0f; + float E = S * (1.0f - cc); // exposicion efectiva del combustible al sol + float m_base = emc_simard(tmp, rh); // humedad expuesta (base) + float m_eff = m_base + dMax * (1.0f - E); // sombra/umbria -> mas humedo + fch *= eta_M(m_eff) / eta_M(m_base); // ratio de damping (<=1) frena celdas sombreadas } - // fp = 1.0 + 0.023322 * data->ps + 0.00013585 * pow(data->ps, 2.0); - // at->rss = fmc*fch*(fv); + // ================= B (S&B-like): viento y pendiente como vectores ================= + float slope_deg = atan(data->ps / 100.0f) * 180.0f / M_PI; // slope.asc % -> grados + float se_k = 1.0f + 0.023322f * slope_deg + 0.00013585f * slope_deg * slope_deg; + float phi_s = se_k - 1.0f; // coef. pendiente + float th = (wdf_ptr->waz - data->saz) * M_PI / 180.0f; // viento relativo al upslope + float vx = phi_s + phi_w * cos(th); + float vy = phi_w * sin(th); + float phi_eff = sqrt(vx * vx + vy * vy); + at->raz = fmod(data->saz + atan2(vy, vx) * 180.0f / M_PI + 360.0f, 360.0f); // resultante + at->rss = fmc * fch * (1.0f + phi_eff); return at->rss * (at->rss >= 0); } @@ -624,9 +708,15 @@ flankfire_ros_k(float ros, float bros, float lb) /* ----------------- Length-to-Breadth --------------------------*/ // TODO: citation needed float -l_to_b(float ws, fuel_coefs* ptr) +l_to_b(float ws, fuel_coefs* ptr, const std::string& lb_mode) { float l1, l2, lb; + if (lb_mode == "sb") { + // length-to-breadth de S&B (Anderson/FARSITE): elipse más alargada + float f = 1000.0 / 3600.0; // km/h -> m/s + lb = pow(0.936 * exp(0.2566 * f * ws) + 0.461 * exp(-0.1548 * f * ws) - 0.397, 0.45); + return lb; + } l1 = 2.233; // 1.411; // ptr->l1 ; l2 = -0.01031; // 0.01745; // ptr->l2 ; lb = 1.0 + pow(l1 * exp(-l2 * ws) - l1, 2.0); @@ -684,6 +774,35 @@ byram_intensity(inputs* data, main_outs* at) return ib; // unidad de medida } +// Longitud de llama a partir del ROS real de la celda (bypass del bug de metrics->rss=0). +// Usa la misma intensidad de Byram: ib = H * wa * ros / 60 ; fl = 0.0775 * ib^0.46. +float +flame_length_from_ros(inputs* data, float ros) +{ + if (ros <= 0.0f) return 0.0f; + float ib = hs[data->nftype][0] * fls_david[data->nftype][0] * ros / 60.0f; + return 0.0775f * pow(ib, 0.46f); +} + +// ---- Fuego de copa: intensidad y llama IDÉNTICAS a S&B/FBP (consistencia entre sistemas) ---- +static int16_t HEAT_YIELD_K = 18000; // kJ/kg (igual que HEAT_YIELD en S&B y Portugal) + +float +crown_byram_intensity_k(main_outs* at, inputs* data) +{ + float canopy_height = (data->tree_height == -9999) ? (data->cbh * 2.0f) + : (data->tree_height - data->cbh); + if (canopy_height < 0) canopy_height = 0; + return std::ceil((HEAT_YIELD_K / 60.0f) * data->cbd * canopy_height * at->ros_active * 100.0f) / 100.0f; +} + +float +crown_flame_length_k(float intensity) +{ + float fl = 0.1f * pow(intensity, 0.5f); + return (fl < 0.01f) ? 0.0f : std::ceil(fl * 100.0f) / 100.0f; +} + bool fire_type(inputs* data, main_outs* at, int FMC) { @@ -726,7 +845,7 @@ crownfractionburn(inputs* data, main_outs* at, int FMC) // TODO: citation needed float -active_rate_of_spreadPL04(inputs* data, main_outs* at, weatherDF* wdf_ptr) // En KITRAL SE USA PL04 +active_rate_of_spreadPL04(inputs* data, main_outs* at, weatherDF* wdf_ptr, arguments* args) // En KITRAL SE USA PL04 { float p1, p2, p3, ws, tmp, rh, ch, fmc, fch, fv, ps, ros_active, rospl04, fp, ros_final, ros; @@ -753,7 +872,7 @@ active_rate_of_spreadPL04(inputs* data, main_outs* at, weatherDF* wdf_ptr) // E { rospl04 = fmc * fch * (fv + ps); } - ros_active = 3.34 * rospl04; // if rac*cbd>3.0, aplicar + ros_active = args->ROS10Factor * rospl04; // factor de copa activa (Scott & Reinhardt, def 3.34); checkActive aplica el criterio cbd*rac>=3 // ros_final=3.34*rospl04 return ros_active; } @@ -843,11 +962,11 @@ calculate_k(inputs* data, float elevation_destiny = head->elev; at->se = slope_effect(elevation_origin, elevation_destiny, cellsize); // Step 1: Calculate HROS (surface) - at->rss = rate_of_spread_k(data, ptr, at, wdf_ptr); + at->rss = rate_of_spread_k(data, ptr, at, wdf_ptr, args); hptr->rss = at->rss; // Step 2: Calculate Length-to-breadth - sec->lb = l_to_b(wdf_ptr->ws, ptr); + sec->lb = l_to_b(wdf_ptr->ws, ptr, args->LbMode); // Step 3: Calculate BROS (surface) bptr->rss = backfire_ros_k(at, sec); @@ -879,7 +998,7 @@ calculate_k(inputs* data, if (activeCrown) { // si el fuego esta activo en copas chequeamos condiciones - at->ros_active = active_rate_of_spreadPL04(data, at, wdf_ptr); + at->ros_active = active_rate_of_spreadPL04(data, at, wdf_ptr, args); if (!checkActive(data, at, FMC)) { activeCrown = false; @@ -902,7 +1021,7 @@ calculate_k(inputs* data, // If we have Crown fire, update the ROSs if (crownFire) { - at->ros_active = active_rate_of_spreadPL04(data, at, wdf_ptr); + at->ros_active = active_rate_of_spreadPL04(data, at, wdf_ptr, args); at->cfb = crownfractionburn(data, at, FMC); hptr->ros = final_rate_of_spreadPL04(at); @@ -920,6 +1039,8 @@ calculate_k(inputs* data, at->a = (hptr->ros + bptr->ros) / 2.; at->b = (hptr->ros + bptr->ros) / (2. * sec->lb); at->c = (hptr->ros - bptr->rss) / 2; + at->crown_intensity = crown_byram_intensity_k(at, data); + at->crown_flame_length = crown_flame_length_k(at->crown_intensity); at->crown = 1; activeCrown = true; } @@ -942,6 +1063,8 @@ calculate_k(inputs* data, at->a = (hptr->ros + bptr->ros) / 2.; at->b = (hptr->ros + bptr->ros) / (2. * sec->lb); at->c = (hptr->ros - bptr->rss) / 2; + at->crown_intensity = crown_byram_intensity_k(at, data); + at->crown_flame_length = crown_flame_length_k(at->crown_intensity); at->crown = 1; // std::cout << "ros_activo: " <ros << std::endl; } @@ -950,6 +1073,8 @@ calculate_k(inputs* data, else { at->crown = 0; + at->crown_intensity = 0; + at->crown_flame_length = 0; hptr->ros = hptr->rss; bptr->ros = bptr->rss; fptr->ros = fptr->rss; diff --git a/Cell2Fire/FuelModelKitral.h b/Cell2Fire/KitralKernel.h similarity index 82% rename from Cell2Fire/FuelModelKitral.h rename to Cell2Fire/KitralKernel.h index 20d189e4..9dbd1052 100644 --- a/Cell2Fire/FuelModelKitral.h +++ b/Cell2Fire/KitralKernel.h @@ -1,72 +1,75 @@ -/* coding: utf-8 -__version__ = "3.0" -__author__ = "Jaime Carrasco-Barra" -__maintainer__ = "Jaime Carrasco-Barra, Matilde Rivas, David Palacios" -*/ -#ifndef FUELMODELKITRAL -#define FUELMODELKITRAL -#include "Cells.h" -#include "FuelModelUtils.h" -#include "ReadArgs.h" -#include -#include -#include -#include - -/* - Functions -*/ -// Initialize coefficients -void setup_const(); - -// Calculate flank fire -float flankfire_ros_k(float ros, float bros, float lb); - -// Calculate rate of spread -float rate_of_spread_k(inputs* data, fuel_coefs* ptr, main_outs* at, weatherDF* wdf_ptr); - -// Length-to-Breadth ratio -float l_to_b(float ws, fuel_coefs*); - -// BROS -float backfire_ros_k(const main_outs* at, const snd_outs* sec); - -// Flame length [m]) -float flame_length(const main_outs* at); - -// byram intensity -float byram_intensity(inputs* data, main_outs* at); - -// Type of fire (Crown = 1, SROS = 0) -bool fire_type(inputs* data, main_outs* atr, int FMC); -// Active crown -bool checkActive(inputs* data, main_outs* at, int FMC); -// CROS adjustements -float final_rate_of_spreadPL04(main_outs* at); -float active_rate_of_spreadPL04(inputs* data, main_outs* at, weatherDF* wdf_ptr); // En KITRAL SE USA PL04 -float crownfractionburn(inputs* data, main_outs* at, int FMC); - -// Back fire with CROS -float backfire_ros10_k(fire_struc* hptr, snd_outs* sec); - -// Slope effect -float slope_effect(float elev_i, float elev_j, int cellsize); - -// Main function to populate spread outputs based on inputs provided from main -// class -void calculate_k(inputs* data, - inputs* head, - int cellsize, - fuel_coefs* ptr, - arguments* args, - main_outs* at, - snd_outs* sec, - fire_struc* hptr, - fire_struc* fptr, - fire_struc* bptr, - bool& activeCrown, - weatherDF* wdf_ptr); - -void determine_destiny_metrics_k(inputs* data, fuel_coefs* ptr, arguments* args, main_outs* at); - -#endif +/* coding: utf-8 +__version__ = "3.0" +__author__ = "Jaime Carrasco-Barra" +__maintainer__ = "Jaime Carrasco-Barra, Matilde Rivas, David Palacios" +*/ +#ifndef KITRALKERNEL +#define KITRALKERNEL +#include "Cells.h" +#include "FuelModelUtils.h" +#include "ReadArgs.h" +#include +#include +#include +#include + +/* + Functions +*/ +// Initialize coefficients +void setup_const(); + +// Calculate flank fire +float flankfire_ros_k(float ros, float bros, float lb); + +// Calculate rate of spread +float rate_of_spread_k(inputs* data, fuel_coefs* ptr, main_outs* at, weatherDF* wdf_ptr, arguments* args); + +// Length-to-Breadth ratio +float l_to_b(float ws, fuel_coefs*, const std::string& lb_mode); // --lb-mode: kitral|sb +float flame_length_from_ros(inputs* data, float ros); +float crown_byram_intensity_k(main_outs* at, inputs* data); +float crown_flame_length_k(float intensity); + +// BROS +float backfire_ros_k(const main_outs* at, const snd_outs* sec); + +// Flame length [m]) +float flame_length(const main_outs* at); + +// byram intensity +float byram_intensity(inputs* data, main_outs* at); + +// Type of fire (Crown = 1, SROS = 0) +bool fire_type(inputs* data, main_outs* atr, int FMC); +// Active crown +bool checkActive(inputs* data, main_outs* at, int FMC); +// CROS adjustements +float final_rate_of_spreadPL04(main_outs* at); +float active_rate_of_spreadPL04(inputs* data, main_outs* at, weatherDF* wdf_ptr, arguments* args); // En KITRAL SE USA PL04 +float crownfractionburn(inputs* data, main_outs* at, int FMC); + +// Back fire with CROS +float backfire_ros10_k(fire_struc* hptr, snd_outs* sec); + +// Slope effect +float slope_effect(float elev_i, float elev_j, int cellsize); + +// Main function to populate spread outputs based on inputs provided from main +// class +void calculate_k(inputs* data, + inputs* head, + int cellsize, + fuel_coefs* ptr, + arguments* args, + main_outs* at, + snd_outs* sec, + fire_struc* hptr, + fire_struc* fptr, + fire_struc* bptr, + bool& activeCrown, + weatherDF* wdf_ptr); + +void determine_destiny_metrics_k(inputs* data, fuel_coefs* ptr, arguments* args, main_outs* at); + +#endif diff --git a/Cell2Fire/ReadArgs.cpp b/Cell2Fire/ReadArgs.cpp index 184da890..07ceae03 100644 --- a/Cell2Fire/ReadArgs.cpp +++ b/Cell2Fire/ReadArgs.cpp @@ -1,13 +1,26 @@ // Inclusions #include "ReadArgs.h" + + #include #include #include +#include // stat/S_ISREG: reemplaza dirent d_type (no existe en MinGW) + +// S_ISREG no es estandar en MSVC (solo define _S_IFMT/_S_IFREG). Sin esta guarda el +// build con msbuild/vcpkg falla. En POSIX y MinGW ya viene definido y esto no aplica. +#ifndef S_ISREG +#define S_ISREG(m) (((m) & _S_IFMT) == _S_IFREG) +#endif +#include #include #include #include #include +// Factores de ajuste del ROS por combustible; se llena al cargar la instancia. +std::unordered_map fuelAdjustment; + #define btoa(x) ((x) ? "true" : "false") inline char @@ -71,6 +84,65 @@ parseArgs(int argc, char* argv[], arguments* args_ptr) //--weather char* input_weather = getCmdOption(argv, argv + argc, "--weather"); + { char* fm = getCmdOption(argv, argv + argc, "--fch-mode"); + if (fm) args_ptr->FchMode = std::string(fm); } + { char* lm = getCmdOption(argv, argv + argc, "--lb-mode"); + if (lm) args_ptr->LbMode = std::string(lm); } + args_ptr->FmcShading = cmdOptionExists(argv, argv + argc, "--fmc-shading"); + { char* bf = getCmdOption(argv, argv + argc, "--breach-factor"); + if (bf) args_ptr->BreachFactor = std::stod(bf); } + { char* sf = getCmdOption(argv, argv + argc, "--spot-factor"); + if (sf) args_ptr->SpotFactor = std::stod(sf); } + { char* rv = getCmdOption(argv, argv + argc, "--river-shp"); + if (rv) args_ptr->RiverShp = std::string(rv); } + { char* rd = getCmdOption(argv, argv + argc, "--road-shp"); + if (rd) { args_ptr->RoadShp = std::string(rd); printf("road-shp: %s \n", rd); } } + { char* fb = getCmdOption(argv, argv + argc, "--firebreak-shp"); + if (fb) { args_ptr->FirebreakShp = std::string(fb); printf("firebreak-shp: %s \n", fb); } } + // Una polilinea no lleva ancho; el breaching necesita uno para calcular W. + // Los poligonos derivan el suyo de la geometria y este valor solo actua de piso. + { char* bw = getCmdOption(argv, argv + argc, "--barrier-width"); + if (bw) { args_ptr->BarrierWidth = std::stof(bw); printf("barrier-width: %s m\n", bw); } } + // Fraccion de la celda que el poligono debe cubrir para volverla no combustible. + // Con el default 0.8 un rio mas angosto que la celda NO la vuelve no combustible: + // queda combustible pero con las transiciones que lo cruzan bloqueadas, que es la + // fisica correcta (queda vegetacion en la celda, pero no se puede atravesar). + { char* bc = getCmdOption(argv, argv + argc, "--barrier-cover"); + if (bc) { args_ptr->BarrierCover = std::stof(bc); printf("barrier-cover: %s\n", bc); } } + // Factor de ajuste del ROS por tipo de combustible, en la linea del fuel + // adjustment factor de FARSITE: multiplica la velocidad de propagacion de las + // celdas de ese combustible, uniforme en todas las direcciones. Cada kernel usa + // su propia numeracion, asi que el archivo va por instancia. Default 1.0. + { char* ts = getCmdOption(argv, argv + argc, "--treatment-shp"); + if (ts) { args_ptr->TreatmentShp = std::string(ts); printf("treatment-shp: %s \n", ts); } } + { char* v = getCmdOption(argv, argv + argc, "--treat-cbh"); + if (v) args_ptr->TreatCBH = std::stof(v); } + { char* v = getCmdOption(argv, argv + argc, "--treat-cbd"); + if (v) args_ptr->TreatCBD = std::stof(v); } + { char* v = getCmdOption(argv, argv + argc, "--treat-ccf"); + if (v) args_ptr->TreatCCF = std::stof(v); } + { char* v = getCmdOption(argv, argv + argc, "--treat-fuel"); + if (v) args_ptr->TreatFuel = std::string(v); } + { char* fa = getCmdOption(argv, argv + argc, "--fuel-adjustment"); + if (fa) { args_ptr->FuelAdjustmentFile = std::string(fa); printf("fuel-adjustment: %s\n", fa); } } + // Interruptores para las carpetas de la instancia (Rivers/, Roads/, Firebreaks/). + // Explicitos a proposito: si se cargaran solo por existir la carpeta, agregar un + // .shp cambiaria los resultados en silencio y los escenarios A/B serian imposibles. + args_ptr->UseRivers = cmdOptionExists(argv, argv + argc, "--rivers"); + args_ptr->UseRoads = cmdOptionExists(argv, argv + argc, "--roads"); + args_ptr->UseFirebreaks = cmdOptionExists(argv, argv + argc, "--firebreaks"); + { char* ig = getCmdOption(argv, argv + argc, "--ignition-shp"); + if (ig) + { + args_ptr->IgnitionShp = std::string(ig); + printf("ignition-shp: %s \n", ig); + } } + { char* af = getCmdOption(argv, argv + argc, "--active-front-shp"); + if (af) + { + args_ptr->ActiveFrontShp = std::string(af); + printf("active-front-shp: %s \n", af); + } } if (input_weather) { printf("WeatherOpt: %s \n", input_weather); @@ -110,6 +182,7 @@ parseArgs(int argc, char* argv[], arguments* args_ptr) bool verbose_input = false; bool iplog_input = false; bool input_ignitions = false; + bool active_front = false; bool out_grids = false; bool out_fl = false; bool out_intensity = false; @@ -201,6 +274,14 @@ parseArgs(int argc, char* argv[], arguments* args_ptr) printf("Ignitions: %s \n", btoa(input_ignitions)); } + //--active-front (ignite a set of cells simultaneously, read from ActiveCells.csv) + if (cmdOptionExists(argv, argv + argc, "--active-front")) + { + active_front = true; + input_ignitions = true; // active front uses the ignition-from-file path + printf("Active front: %s \n", btoa(active_front)); + } + //--grids if (cmdOptionExists(argv, argv + argc, "--grids")) { @@ -302,6 +383,15 @@ parseArgs(int argc, char* argv[], arguments* args_ptr) simulator_option); args_ptr->Simulator = simulator_option; } + else if (s == "P") + { + // Portugal: preset sobre el motor S&B (rothermel_s = BehavePlus). Los combustibles + // portugueses (211-237) viven en sbTable; la fisica es Rothermel/BehavePlus, no el + // antiguo ajuste de regresion. Internamente corre como "S". + printf("Simulator: P (preset Portugal sobre motor S&B/rothermel_s)\n"); + args_ptr->Simulator = "S"; + args_ptr->PortugalPreset = true; + } else { printf("Simulator: %s \n", simulator_option); @@ -382,16 +472,67 @@ parseArgs(int argc, char* argv[], arguments* args_ptr) else args_ptr->FMC = dfmc; - //--scenario + //--scenario (Portugal: critical|moderate|soft o 1|2|3; tambien entero para otros usos) char* input_scenario = getCmdOption(argv, argv + argc, "--scenario"); if (input_scenario) { printf("scenario: %s \n", input_scenario); - args_ptr->scenario = std::stoi(input_scenario, &sz); + std::string sc = input_scenario; + for (char& c : sc) c = static_cast(std::tolower((unsigned char)c)); + if (sc == "critical") args_ptr->scenario = 1; + else if (sc == "moderate") args_ptr->scenario = 2; + else if (sc == "soft") args_ptr->scenario = 3; + else args_ptr->scenario = std::stoi(input_scenario, &sz); } else args_ptr->scenario = dscen; + //--moisture-mode (S&B: direct | scenario | ffmc | conditioning | spatial | portugal) + char* input_mmode = getCmdOption(argv, argv + argc, "--moisture-mode"); + if (input_mmode) + { + std::string m = input_mmode; + if (m != "direct" && m != "scenario" && m != "ffmc" && m != "conditioning" && m != "spatial" && m != "portugal") + { + printf("moisture-mode '%s' no reconocido; usando 'direct'\n", input_mmode); + args_ptr->MoistureMode = "direct"; + } + else + { + printf("moisture-mode: %s \n", input_mmode); + args_ptr->MoistureMode = m; + } + } + else if (args_ptr->PortugalPreset) + // preset Portugal sin --moisture-mode explicito: usa los escenarios nombrados (Fernandes) + args_ptr->MoistureMode = "portugal"; + else + args_ptr->MoistureMode = "direct"; + + //--latitude (grados, +N) para humedad espacial Modo 2; si no, usa data->lat por celda + char* input_lat = getCmdOption(argv, argv + argc, "--latitude"); + if (input_lat) + { + args_ptr->Latitude = std::stof(input_lat); + args_ptr->HasLatitude = true; + printf("latitude: %.4f \n", args_ptr->Latitude); + } + else + { + args_ptr->HasLatitude = false; + } + + //--moisture-scenario (S&B DkLm, p.ej. D2L1; o entero 1..4 = diagonal). Reemplaza la columna del Weather. + char* input_scn = getCmdOption(argv, argv + argc, "--moisture-scenario"); + if (input_scn) + { + args_ptr->Scenario = input_scn; + printf("moisture-scenario: %s \n", input_scn); + if (!input_mmode) args_ptr->MoistureMode = "scenario"; // activa el modo si no se fijó otro + } + else + args_ptr->Scenario = "D2L2"; + //--ROS-Threshold char* ROS_Threshold = getCmdOption(argv, argv + argc, "--ROS-Threshold"); if (ROS_Threshold) @@ -589,10 +730,10 @@ parseArgs(int argc, char* argv[], arguments* args_ptr) if (input_hplan == &empty) { - args_ptr->HarvestPlan = ""; + args_ptr->FirebreakPlan = ""; } else - args_ptr->HarvestPlan = input_hplan; + args_ptr->FirebreakPlan = input_hplan; // booleans args_ptr->OutMessages = out_messages; @@ -607,6 +748,17 @@ parseArgs(int argc, char* argv[], arguments* args_ptr) args_ptr->verbose = verbose_input; args_ptr->IgnitionsLog = iplog_input; args_ptr->Ignitions = input_ignitions; + // --ignition-shp implica igniciones explicitas. Va DESPUES de la linea anterior: + // input_ignitions la sobreescribiria si se asignara antes. + if (!args_ptr->IgnitionShp.empty()) args_ptr->Ignitions = true; + args_ptr->ActiveFront = active_front; + // idem para --active-front-shp: implica frente activo e igniciones explicitas. + // OJO: va DESPUES de la asignacion de arriba, que si no lo sobreescribe. + if (!args_ptr->ActiveFrontShp.empty()) + { + args_ptr->ActiveFront = true; + args_ptr->Ignitions = true; + } args_ptr->OutputGrids = out_grids; args_ptr->FinalGrid = out_finalgrid; args_ptr->PromTuned = prom_tuned; @@ -634,7 +786,7 @@ printArgs(arguments args) std::cout << "OutCrown: " << args.OutCrown << std::endl; std::cout << "OutCrownConsumption: " << args.OutCrownConsumption << std::endl; std::cout << "OutSurfConsumption: " << args.OutSurfConsumption << - std::endl; std::cout << "HarvestPlan: " << args.HarvestPlan << std::endl; + std::endl; std::cout << "FirebreakPlan: " << args.FirebreakPlan << std::endl; std::cout << "TotalYears: " << args.TotalYears << std::endl; std::cout << "TotalSims: " << args.TotalSims << std::endl; std::cout << "FirePeriodLen: " << args.FirePeriodLen << std::endl; @@ -655,7 +807,7 @@ printArgs(arguments args) std::cout << "InFolder: " << args.InFolder << std::endl; std::cout << "OutFolder: " << args.OutFolder << std::endl; std::cout << "WeatherOpt: " << args.WeatherOpt << std::endl; - std::cout << "FirebreakCells: " << args.HarvestPlan << std::endl; + std::cout << "FirebreakCells: " << args.FirebreakPlan << std::endl; std::cout << "NWeatherFiles: " << args.NWeatherFiles << std::endl; std::cout << "MinutesPerWP: " << args.MinutesPerWP << std::endl; std::cout << "MaxFirePeriods: " << args.MaxFirePeriods << std::endl; @@ -695,13 +847,22 @@ countWeathers(const std::string directory_path) { while ((ent = readdir(dir)) != NULL) { - if (ent->d_type == DT_REG) + const std::string filename = ent->d_name; + // Length guard FIRST: entries such as "." and ".." are shorter than the + // pattern and the substr()/compare() below would throw std::out_of_range. + // Previously d_type==DT_REG filtered them out, but d_type is a POSIX + // extension that MinGW does not provide, so we cannot rely on it. + if (filename.size() < 11) // "Weather" + ".csv" + continue; + if (filename.compare(0, 7, "Weather") != 0 + || filename.compare(filename.size() - 4, 4, ".csv") != 0) + continue; + // regular-file test: portable across POSIX and MinGW (replaces d_type) + struct stat st; + const std::string full = directory_path + "/" + filename; + if (stat(full.c_str(), &st) == 0 && S_ISREG(st.st_mode)) { - std::string filename = ent->d_name; - if (filename.substr(0, 7) == "Weather" && filename.substr(filename.size() - 4) == ".csv") - { - file_count++; - } + file_count++; } } closedir(dir); diff --git a/Cell2Fire/ReadArgs.h b/Cell2Fire/ReadArgs.h index 00a824aa..f422bf2e 100644 --- a/Cell2Fire/ReadArgs.h +++ b/Cell2Fire/ReadArgs.h @@ -12,17 +12,58 @@ /* * Args structure */ -typedef struct +// Se declara como 'struct arguments' y no como 'typedef struct {...} arguments;': +// con inicializadores por defecto en los miembros, la forma anonima con typedef +// dispara C5208 en MSVC, que WindowsTests.vcxproj trata como error. +// Factores de ajuste del ROS por codigo de combustible (fuel adjustment factors, +// FARSITE). Global porque Cells::manageFire los necesita y solo recibe 'arguments*'; +// se llena una vez al cargar la instancia y no cambia durante la simulacion. +extern std::unordered_map fuelAdjustment; +inline double +fuelAdjOf(int fuelCode) { - std::string InFolder, OutFolder, WeatherOpt, HarvestPlan, Simulator, WeatherWeightsFile; + auto it = fuelAdjustment.find(fuelCode); + return (it == fuelAdjustment.end()) ? 1.0 : it->second; +} + +struct arguments +{ + std::string InFolder, OutFolder, WeatherOpt, FirebreakPlan, Simulator, WeatherWeightsFile, MoistureMode; + std::string FchMode = "kitral"; // --fch-mode: kitral|emc|ffmc|isi + std::string LbMode = "kitral"; // --lb-mode: kitral|sb + bool FmcShading = false; // --fmc-shading: acond. espacial humedad (sunny/shade) + double BreachFactor = 0.0; // --breach-factor k: breaching Prometheus (0=off). Cruza barrera si k*FL >= ancho + double SpotFactor = 0.0; // --spot-factor k: spotting Albini (0=off). Cruza si k*FL*viento(m/s) >= ancho + std::string RiverShp = ""; // --river-shp: shapefile del rio (polilinea/poligono, CRS de la instancia) + std::string IgnitionShp = ""; // --ignition-shp: shapefile de puntos de ignicion (1 punto = 1 anio) + std::string ActiveFrontShp = ""; // --active-front-shp: frente activo como linea o puntos + std::string RoadShp = ""; // --road-shp: caminos como barrera (mismo rol que el rio) + bool UseRivers = false; // --rivers: carga instancia/Rivers/*.shp + bool UseRoads = false; // --roads: carga instancia/Roads/*.shp + bool UseFirebreaks = false; // --firebreaks: carga instancia/Firebreaks/*.shp + float BarrierWidth = 10.0; // --barrier-width: ancho declarado (m) de las barreras dadas como polilinea + float BarrierCover = 0.8; // --barrier-cover: fraccion de celda cubierta para declararla no combustible + std::string FuelAdjustmentFile = ""; // --fuel-adjustment: CSV fuel,factor por tipo de combustible + // Tratamientos silviculturales sobre una zona dada por poligono. Modifican la + // estructura del dosel o reasignan el combustible superficial, sin eliminar la celda. + std::string TreatmentShp = ""; // --treatment-shp: poligono de la zona tratada + float TreatCBH = -1.0f; // --treat-cbh: altura de base de copa (m) + float TreatCBD = -1.0f; // --treat-cbd: densidad aparente de copa (kg/m3) + float TreatCCF = -1.0f; // --treat-ccf: cobertura de copa (fraccion 0-1) + std::string TreatFuel = ""; // --treat-fuel: combustible superficial nuevo + std::string FirebreakShp = ""; // --firebreak-shp: cortafuegos desde un .shp puntual + float Latitude = 0.0f; // latitud (grados, +N) para humedad espacial Modo 2 (--latitude) + bool HasLatitude = false; // true si --latitude fue provisto (si no, usa data->lat por celda) + std::string Scenario = "D2L2"; // escenario S&B DkLm (--scenario; reemplaza la columna del Weather) + bool PortugalPreset = false; // --sim P: preset Portugal (Fernandes) sobre motor S&B/rothermel_s bool OutMessages, OutFl, OutIntensity, OutRos, OutCrown, OutCrownConsumption, OutSurfConsumption, Trajectories, - NoOutput, verbose, IgnitionsLog, Ignitions, OutputGrids, FinalGrid, PromTuned, Stats, BBOTuning, AllowCROS, UseWeatherWeights; + NoOutput, verbose, IgnitionsLog, Ignitions, OutputGrids, FinalGrid, PromTuned, Stats, BBOTuning, AllowCROS, UseWeatherWeights, ActiveFront; float ROSCV, ROSThreshold, CROSThreshold, HFIThreshold, HFactor, FFactor, BFactor, EFactor, FirePeriodLen; float CBDFactor, CCFFactor, ROS10Factor, CROSActThreshold; int MinutesPerWP, MaxFirePeriods, TotalYears, TotalSims, NWeatherFiles, IgnitionRadius, seed, nthreads, FMC, scenario; std::unordered_set HCells, BCells; -} arguments; +}; char* getCmdOption(char** begin, char** end, const std::string& option); diff --git a/Cell2Fire/ReadCSV.cpp b/Cell2Fire/ReadCSV.cpp index 2b347c4b..3fdccffa 100644 --- a/Cell2Fire/ReadCSV.cpp +++ b/Cell2Fire/ReadCSV.cpp @@ -10,6 +10,8 @@ #include #include #include +#include +#include #include #include #include @@ -546,16 +548,27 @@ CSVReader::parseWeatherDF(std::vector& wdf, ws = DF[i][2].empty() ? 0 : std::stof(DF[i][2], &sz); - if (args_ptr->Simulator == "K") + if (args_ptr->Simulator == "K" || args_ptr->Simulator == "S") { - tmp = DF[i][4].empty() ? 0 : std::stof(DF[i][4], &sz); - rh = DF[i][5].empty() ? 0 : std::stof(DF[i][5], &sz); + int nc = static_cast(DF[i].size()); + // tolerante: en modo scenario col4 puede ser un token "DkLm" (no numérico) + try { if (nc > 4 && !DF[i][4].empty()) tmp = std::stof(DF[i][4], &sz); } catch (...) {} + try { if (nc > 5 && !DF[i][5].empty()) rh = std::stof(DF[i][5], &sz); } catch (...) {} + // KITRAL extendido: FFMC en col6, ISI en col7 (para --fch-mode ffmc/isi) + try { if (nc > 6 && !DF[i][6].empty()) ffmc = std::stof(DF[i][6], &sz); else ffmc = 0; } catch (...) { ffmc = 0; } + try { if (nc > 7 && !DF[i][7].empty()) isi = std::stof(DF[i][7], &sz); else isi = 0; } catch (...) { isi = 0; } + try { if (nc > 8 && !DF[i][8].empty()) dc = std::stof(DF[i][8], &sz); else dc = 0; } catch (...) { dc = 0; } + try { if (nc > 9 && !DF[i][9].empty()) bui = std::stof(DF[i][9], &sz); else bui = 0; } catch (...) { bui = 0; } } else if (args_ptr->Simulator == "C") { + // Meteorological standard (Cell2FireW >= v1.0.0): WD is the direction the + // wind blows FROM (N=0, clockwise). Convert to the internal azimuth `waz` + // (direction the wind blows TOWARD) by adding 180, exactly as the other + // simulators do above. The previous code used WD directly, which made the + // FBP path propagate 180 degrees opposite to the documented convention. waz = DF[i][6].empty() ? 0 : std::stoi(DF[i][6], &sz); - if (waz >= 360) - waz -= 360; + waz = fmod((waz + 180.0), 360.0); apcp = DF[i][2].empty() ? 0 : std::stof(DF[i][2], &sz); tmp = DF[i][3].empty() ? 0 : std::stof(DF[i][3], &sz); @@ -581,6 +594,133 @@ CSVReader::parseWeatherDF(std::vector& wdf, w.isi = isi; w.bui = bui; w.fwi = fwi; + + // dia-del-anio y hora desde la columna datetime (tolerante a "-" o "/"), + // para la geometria solar dinamica del acondicionamiento espacial (--fmc-shading). + { + int dd = 15, mo = 6, yy = 0, hh = 12, mi = 0; + if (DF[i].size() > 1 && !DF[i][1].empty()) { + std::string dt = DF[i][1]; + for (size_t k = 0; k < dt.size(); ++k) if (dt[k] == '-') dt[k] = '/'; + std::sscanf(dt.c_str(), "%d/%d/%d %d:%d", &dd, &mo, &yy, &hh, &mi); + } + static const int cumd[12] = { 0, 31, 59, 90, 120, 151, 181, 212, 243, 273, 304, 334 }; + int mm = (mo >= 1 && mo <= 12) ? mo : 1; + w.doy = static_cast(cumd[mm - 1] + dd); + w.hour = hh + mi / 60.0f; + } + + // --- Humedad del combustible muerto para S&B: modo seleccionable (--moisture-mode) --- + float m1h = 0.06f, m10h = 0.07f, m100h = 0.08f, mlh = 0.60f, mlw = 0.90f; // default D2L2 + if (args_ptr->Simulator == "S") + { + // Modo 2 (spatial): día-del-año y hora desde la columna datetime ("DD/MM/YY HH:MM"). + { + int dd = 15, mo = 6, yy = 0, hh = 12, mi = 0; + if (DF[i].size() > 1 && !DF[i][1].empty()) + std::sscanf(DF[i][1].c_str(), "%d/%d/%d %d:%d", &dd, &mo, &yy, &hh, &mi); + static const int cum[12] = { 0, 31, 59, 90, 120, 151, 181, 212, 243, 273, 304, 334 }; + int mm = (mo >= 1 && mo <= 12) ? mo : 1; + w.doy = static_cast(cum[mm - 1] + dd); + w.hour = hh + mi / 60.0f; + } + const std::string& mode = args_ptr->MoistureMode; + int ncol = static_cast(DF[i].size()); + auto col = [&](int k, float def) { return (k < ncol && !DF[i][k].empty()) ? std::stof(DF[i][k]) : def; }; + + if (mode == "scenario") // S&B 16 combinaciones DkLm desde --scenario (no del Weather) + { + // dk = nivel humedad MUERTA (1..4), lm = nivel humedad VIVA (1..4) + int dk = 2, lm = 2; + std::string u = args_ptr->Scenario; + for (char& c : u) c = static_cast(std::toupper((unsigned char)c)); + if (std::sscanf(u.c_str(), "D%dL%d", &dk, &lm) != 2) + { + int sc = 0; + if (std::sscanf(u.c_str(), "%d", &sc) == 1 && sc >= 1 && sc <= 4) + dk = lm = sc; // entero heredado -> diagonal DkLk + else + dk = lm = 2; + } + if (dk < 1 || dk > 4) dk = 2; + if (lm < 1 || lm > 4) lm = 2; + float dead = 3.0f * dk; // D1=3,D2=6,D3=9,D4=12 (+1/+2 para 10h/100h) + m1h = dead / 100.0f; m10h = (dead + 1) / 100.0f; m100h = (dead + 2) / 100.0f; + mlh = (30.0f * lm) / 100.0f; // L1=30,L2=60,L3=90,L4=120 + mlw = (30.0f + 30.0f * lm) / 100.0f; // L1=60,L2=90,L3=120,L4=150 + } + else if (mode == "portugal") // preset Portugal (Fernandes): escenarios nombrados critical/moderate/soft + { + // args->scenario: 1=critical, 2=moderate, 3=soft (mapeado en ReadArgs desde el nombre) + // Perfiles de humedad (%) tal como se usaron en BehavePlus para ajustar los combustibles PT: + // critical: dead 4/5/7 | moderate: dead 7/8/10 | soft: dead 10/11/13 (live-herb 30, live-woody 75) + int sc = args_ptr->scenario; + if (sc < 1 || sc > 3) sc = 1; + float d1 = (sc == 1) ? 4.0f : (sc == 2) ? 7.0f : 10.0f; // 1-h muerto + m1h = d1 / 100.0f; + m10h = (d1 + 1.0f) / 100.0f; + m100h = (d1 + 3.0f) / 100.0f; // critical 4->7, moderate 7->10, soft 10->13 (spread 3) + mlh = 0.30f; // live herbaceous (solo afecta a 225/226/231/232/235) + mlw = 0.75f; // live woody + } + else if (mode == "ffmc") // col4 = FFMC -> humedad fina (Van Wagner & Pickett 1985) + { + float ffmc = col(4, 85.0f); + float mf = 147.2f * (101.0f - ffmc) / (59.5f + ffmc); // % + m1h = mf / 100.0f; + m10h = col(5, mf + 1.0f) / 100.0f; // usa columnas si existen; si no, +1/+2 % + m100h = col(6, mf + 2.0f) / 100.0f; + mlh = col(7, 60.0f) / 100.0f; + mlw = col(8, 90.0f) / 100.0f; + } + else if (mode == "conditioning") // EMC (Simard 1968) + relajación por time-lag (uniforme; sol/sombra por celda: pendiente) + { + float T = col(4, 20.0f); // °C + float RH = col(5, 40.0f); // % + float Tf = T * 9.0f / 5.0f + 32.0f; // °F para Simard + float emc; + if (RH < 10.0f) emc = 0.03229f + 0.281073f * RH - 0.000578f * RH * Tf; + else if (RH <= 50.0f) emc = 2.22749f + 0.160107f * RH - 0.014784f * Tf; + else emc = 21.0606f + 0.005565f * RH * RH - 0.00035f * RH * Tf - 0.483199f * RH; + if (emc < 0) emc = 0; + float e = emc / 100.0f; + float dt_h = args_ptr->MinutesPerWP / 60.0f; // paso en horas + if (i == 1) { m1h = e; m10h = e; m100h = e; } // estado inicial = EMC + else + { + weatherDF& prev = wdf[i - 2]; + m1h = e + (prev.m1h - e) * std::exp(-dt_h / 1.0f); + m10h = e + (prev.m10h - e) * std::exp(-dt_h / 10.0f); + m100h = e + (prev.m100h - e) * std::exp(-dt_h / 100.0f); + } + mlh = col(6, 60.0f) / 100.0f; mlw = col(7, 90.0f) / 100.0f; + } + else // "direct" (por defecto): humedad continua de columnas; retrocompatible + { + if (ncol >= 9) // Instance,datetime,WS,WD,m1h,m10h,m100h,mlh,mlw (%) + { + m1h = col(4, 6.0f) / 100.0f; m10h = col(5, 7.0f) / 100.0f; m100h = col(6, 8.0f) / 100.0f; + mlh = col(7, 60.0f) / 100.0f; mlw = col(8, 90.0f) / 100.0f; + } + else if (ncol >= 5 && !DF[i][4].empty()) + { + // La columna FireScenario esta obsoleta: la humedad se define con + // --moisture-mode/--moisture-scenario, que es explicito y no depende + // de que el archivo de clima traiga una columna extra. Se ignora su + // contenido, pero se avisa una vez para que nadie descubra el cambio + // por una diferencia inexplicada en los resultados. + static bool avisado = false; + if (!avisado) + { + std::cout << "AVISO: la columna FireScenario de Weather.csv se ignora. " + "Usa --moisture-scenario DkLm para fijar la humedad." + << std::endl; + avisado = true; + } + } + } + } + w.m1h = m1h; w.m10h = m10h; w.m100h = m100h; w.mlh = mlh; w.mlw = mlw; } } @@ -634,23 +774,23 @@ CSVReader::parseWeatherWeights(std::vector& WeatherWeights, std::vector>& hc, +CSVReader::parseFirebreakDF(std::unordered_map>& hc, std::vector>& DF, int HPeriods) { // Integers int i, j, hcell; - std::vector toHarvestCells; + std::vector toFirebreakCells; std::string::size_type sz; // alias of size_t // Loop over cells (populating per row) for (i = 1; i <= HPeriods; i++) { // Clean the vector before the new year - toHarvestCells.clear(); + toFirebreakCells.clear(); // Loop over years of the simulation for (j = 1; j < DF[i].size(); j++) @@ -658,11 +798,11 @@ CSVReader::parseHarvestedDF(std::unordered_map>& hc, hcell = std::stoi(DF[i][j], &sz); // Set values - toHarvestCells.push_back(hcell); + toFirebreakCells.push_back(hcell); } // Populate unordered set - hc.insert(std::make_pair(i, toHarvestCells)); + hc.insert(std::make_pair(i, toFirebreakCells)); } } diff --git a/Cell2Fire/ReadCSV.h b/Cell2Fire/ReadCSV.h index 9a6cd985..a5e2ffd6 100644 --- a/Cell2Fire/ReadCSV.h +++ b/Cell2Fire/ReadCSV.h @@ -67,8 +67,8 @@ class CSVReader // Populates ForestDF void parseForestDF(forestDF* frt_ptr, std::vector>& DF); - // Populate Harvested Cells - void parseHarvestedDF(std::unordered_map>& hc, + // Populate Firebreak Cells + void parseFirebreakDF(std::unordered_map>& hc, std::vector>& DF, int HPeriods); diff --git a/Cell2Fire/ReadShp.h b/Cell2Fire/ReadShp.h new file mode 100644 index 00000000..e01ae93a --- /dev/null +++ b/Cell2Fire/ReadShp.h @@ -0,0 +1,309 @@ +#ifndef READSHP_H +#define READSHP_H +// --------------------------------------------------------------------------- +// Lector minimo de shapefile ESRI (.shp) para PolyLine (tipo 3) y Polygon +// (tipo 5), sin dependencias externas (no GDAL/OGR). Devuelve las "partes" +// (polilineas) como vectores de puntos (x,y) en la CRS del archivo. +// Se asume que el .shp ya viene reproyectado a la CRS de la instancia (UTM). +// --------------------------------------------------------------------------- +// OJO: en MSVC el de vcpkg (port tronkko/dirent) esta implementado sobre +// Win32 e incluye , que define min y max como MACROS. Eso convierte +// std::max(...) en std::(...) y rompe la compilacion de cualquier .cpp que incluya +// este header (Cell2Fire.cpp tiene ~10 usos). NOMINMAX lo evita y tiene que definirse +// ANTES del include. WIN32_LEAN_AND_MEAN ademas recorta el arrastre de cabeceras. +// En MinGW no ocurre: su dirent.h es nativo y no toca windows.h. +#ifdef _WIN32 +#ifndef NOMINMAX +#define NOMINMAX +#endif +#ifndef WIN32_LEAN_AND_MEAN +#define WIN32_LEAN_AND_MEAN +#endif +#endif + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +// MSVC no define S_ISREG (solo _S_IFMT/_S_IFREG) +#ifndef S_ISREG +#define S_ISREG(m) (((m) & _S_IFMT) == _S_IFREG) +#endif + +struct ShpPoint +{ + double x, y; +}; +typedef std::vector ShpPart; // una polilinea (o anillo de poligono) + +// lee un double little-endian +static inline double +readLE_double(const unsigned char* p) +{ + double v; + std::memcpy(&v, p, 8); // x86/ARM son little-endian + return v; +} +static inline int32_t +readLE_int(const unsigned char* p) +{ + int32_t v; + std::memcpy(&v, p, 4); + return v; +} +static inline int32_t +readBE_int(const unsigned char* p) +{ + return (int32_t(p[0]) << 24) | (int32_t(p[1]) << 16) | (int32_t(p[2]) << 8) | int32_t(p[3]); +} + +// Lee todas las partes (polilineas/anillos) del shapefile. +// Retorna false si no se pudo abrir o el tipo no es PolyLine/Polygon. +inline bool +readShapefileParts(const std::string& path, std::vector& outParts) +{ + std::ifstream f(path, std::ios::binary); + if (!f.good()) return false; + std::vector buf((std::istreambuf_iterator(f)), std::istreambuf_iterator()); + if (buf.size() < 100) return false; + + int32_t fileCode = readBE_int(&buf[0]); + if (fileCode != 9994) return false; // no es shapefile + int32_t shpType = readLE_int(&buf[32]); + if (shpType != 3 && shpType != 5) return false; // solo PolyLine/Polygon + + size_t pos = 100; // fin de la cabecera + while (pos + 8 <= buf.size()) + { + // record header (big-endian): numero (4) + longitud de contenido en words (4) + int32_t contentLenWords = readBE_int(&buf[pos + 4]); + size_t recStart = pos + 8; + size_t recLen = size_t(contentLenWords) * 2; // words -> bytes + if (recStart + recLen > buf.size()) break; + + int32_t recType = readLE_int(&buf[recStart]); + if (recType == 3 || recType == 5) // PolyLine / Polygon + { + // layout: type(4) box(32) numParts(4) numPoints(4) parts[np] points[npt*16] + size_t p = recStart + 4 + 32; + int32_t numParts = readLE_int(&buf[p]); p += 4; + int32_t numPoints = readLE_int(&buf[p]); p += 4; + std::vector parts(numParts); + for (int i = 0; i < numParts; ++i) { parts[i] = readLE_int(&buf[p]); p += 4; } + size_t ptBase = p; // inicio del array de puntos + for (int ip = 0; ip < numParts; ++ip) + { + int start = parts[ip]; + int end = (ip + 1 < numParts) ? parts[ip + 1] : numPoints; + ShpPart part; + for (int k = start; k < end; ++k) + { + const unsigned char* pp = &buf[ptBase + size_t(k) * 16]; + ShpPoint sp{ readLE_double(pp), readLE_double(pp + 8) }; + part.push_back(sp); + } + if (part.size() >= 2) outParts.push_back(part); + } + } + pos = recStart + recLen; + } + return !outParts.empty(); +} + +// Lee los puntos de un shapefile de tipo Point (1) o MultiPoint (8), incluyendo +// las variantes Z/M que exporta QGIS (11/21 y 18/28). Los puntos salen en el +// orden del archivo, que es el que define a que anio corresponde cada ignicion. +// Retorna false si no se pudo abrir, no es shapefile, o el tipo no es de puntos. +inline bool +readShapefilePoints(const std::string& path, std::vector& outPoints) +{ + std::ifstream f(path, std::ios::binary); + if (!f.good()) return false; + std::vector buf((std::istreambuf_iterator(f)), std::istreambuf_iterator()); + if (buf.size() < 100) return false; + + if (readBE_int(&buf[0]) != 9994) return false; // no es shapefile + int32_t shpType = readLE_int(&buf[32]); + const bool isPoint = (shpType == 1 || shpType == 11 || shpType == 21); + const bool isMulti = (shpType == 8 || shpType == 18 || shpType == 28); + if (!isPoint && !isMulti) return false; + + size_t pos = 100; + while (pos + 8 <= buf.size()) + { + int32_t contentLenWords = readBE_int(&buf[pos + 4]); + size_t recStart = pos + 8; + size_t recLen = size_t(contentLenWords) * 2; + if (recStart + recLen > buf.size()) break; + + int32_t recType = readLE_int(&buf[recStart]); + if (recType == 1 || recType == 11 || recType == 21) + { + // layout: type(4) x(8) y(8) [z(8)] [m(8)] + const unsigned char* pp = &buf[recStart + 4]; + outPoints.push_back(ShpPoint{ readLE_double(pp), readLE_double(pp + 8) }); + } + else if (recType == 8 || recType == 18 || recType == 28) + { + // layout: type(4) box(32) numPoints(4) points[n*16] [z...] [m...] + size_t p = recStart + 4 + 32; + int32_t numPoints = readLE_int(&buf[p]); + p += 4; + for (int k = 0; k < numPoints; ++k) + { + const unsigned char* pp = &buf[p + size_t(k) * 16]; + outPoints.push_back(ShpPoint{ readLE_double(pp), readLE_double(pp + 8) }); + } + } + pos = recStart + recLen; + } + return !outPoints.empty(); +} + +// Lee el bounding box del header del .shp (bytes 36..67: Xmin, Ymin, Xmax, Ymax). +// Sirve para avisar temprano si la capa no solapa el raster, que casi siempre +// significa CRS equivocada. No requiere parsear los registros. +inline bool +readShapefileBBox(const std::string& path, double& xmin, double& ymin, double& xmax, double& ymax) +{ + std::ifstream f(path, std::ios::binary); + if (!f.good()) return false; + unsigned char h[100]; + f.read(reinterpret_cast(h), 100); + if (f.gcount() < 100) return false; + if (readBE_int(&h[0]) != 9994) return false; + xmin = readLE_double(&h[36]); + ymin = readLE_double(&h[44]); + xmax = readLE_double(&h[52]); + ymax = readLE_double(&h[60]); + return true; +} + +// Lista los .shp de una carpeta devolviendo {ruta, tipo}, donde el tipo es el nombre +// del archivo sin extension (Barriers/roads.shp -> "roads"). Orden alfabetico para +// que el resultado sea reproducible entre corridas y sistemas de archivos. +inline std::vector> +listShapefiles(const std::string& dir) +{ + std::vector> out; + DIR* d = opendir(dir.c_str()); + if (!d) return out; // la carpeta es opcional + struct dirent* ent; + while ((ent = readdir(d)) != NULL) + { + const std::string name = ent->d_name; + if (name.size() < 5) continue; + if (name.compare(name.size() - 4, 4, ".shp") != 0) continue; + const std::string full = dir + "/" + name; + struct stat st; + if (stat(full.c_str(), &st) != 0 || !S_ISREG(st.st_mode)) continue; + out.push_back({ full, name.substr(0, name.size() - 4) }); + } + closedir(d); + std::sort(out.begin(), out.end()); + return out; +} + +// Tipo de geometria del shapefile (1=Point, 3=PolyLine, 5=Polygon, 8=MultiPoint, +// y sus variantes Z/M). Devuelve -1 si no se pudo leer. +inline int +readShapefileType(const std::string& path) +{ + std::ifstream f(path, std::ios::binary); + if (!f.good()) return -1; + unsigned char h[100]; + f.read(reinterpret_cast(h), 100); + if (f.gcount() < 100) return -1; + if (readBE_int(&h[0]) != 9994) return -1; + return readLE_int(&h[32]); +} + +// Punto dentro de poligono (ray casting sobre todos los anillos, regla par-impar, +// de modo que los anillos interiores se comportan como huecos). Los anillos vienen +// de readShapefileParts, que para Polygon devuelve cada anillo como una "parte". +inline bool +pointInPolygon(const std::vector& rings, double x, double y) +{ + bool inside = false; + for (const auto& ring : rings) + { + const size_t n = ring.size(); + if (n < 3) continue; + for (size_t i = 0, j = n - 1; i < n; j = i++) + { + const double xi = ring[i].x, yi = ring[i].y; + const double xj = ring[j].x, yj = ring[j].y; + if (((yi > y) != (yj > y)) && (x < (xj - xi) * (y - yi) / (yj - yi + 1e-300) + xi)) + inside = !inside; + } + } + return inside; +} + +// Interseccion de dos segmentos 2D. Devuelve true y el parametro t sobre AB si se +// cortan. Se usa para saber si el paso de una celda a su vecina cruza la barrera. +inline bool +segmentsIntersect(double ax, double ay, double bx, double by, + double cx, double cy, double dx, double dy, double& t) +{ + const double r1 = bx - ax, r2 = by - ay; + const double s1 = dx - cx, s2 = dy - cy; + const double den = r1 * s2 - r2 * s1; + if (std::fabs(den) < 1e-12) return false; // paralelos o colineales + const double u = ((cx - ax) * r2 - (cy - ay) * r1) / den; + t = ((cx - ax) * s2 - (cy - ay) * s1) / den; + return (t >= 0.0 && t <= 1.0 && u >= 0.0 && u <= 1.0); +} + +// Ancho de barrera cruzado por el segmento AB. Para una polilinea se toman los +// parametros t de todos los cortes: si hay dos o mas, el ancho es la distancia entre +// el primero y el ultimo (el fuego atraviesa una franja); si hay uno solo, el rasgo +// es mas angosto que la resolucion del cruce y se devuelve minWidth, que representa +// el ancho declarado del rasgo. Devuelve 0 si no hay interseccion. +inline double +crossedWidth(double ax, double ay, double bx, double by, + const std::vector& parts, double minWidth) +{ + std::vector ts; + for (const auto& part : parts) + for (size_t i = 0; i + 1 < part.size(); ++i) + { + double t; + if (segmentsIntersect(ax, ay, bx, by, part[i].x, part[i].y, part[i + 1].x, + part[i + 1].y, t)) + ts.push_back(t); + } + if (ts.empty()) return 0.0; + const double len = std::sqrt((bx - ax) * (bx - ax) + (by - ay) * (by - ay)); + if (ts.size() == 1) return minWidth; + std::sort(ts.begin(), ts.end()); + const double w = (ts.back() - ts.front()) * len; + return std::max(w, minWidth); +} + +// Fraccion del area de una celda cuadrada que cae dentro del poligono, por muestreo +// de una subrejilla de n x n puntos. Reemplaza la regla del centro: con celdas de 30 m +// y un rasgo de 20 m, el centro decide todo o nada, mientras que la fraccion permite +// exigir cobertura mayoritaria antes de declarar la celda no combustible. +// n=10 da resolucion de 1%, suficiente para un umbral de 0.8. +inline double +cellAreaFraction(const std::vector& rings, double xmin, double ymin, double size, + int n = 10) +{ + int dentro = 0; + const double paso = size / n; + for (int i = 0; i < n; ++i) + for (int j = 0; j < n; ++j) + if (pointInPolygon(rings, xmin + (i + 0.5) * paso, ymin + (j + 0.5) * paso)) + ++dentro; + return (double)dentro / (n * n); +} + +#endif // READSHP_H diff --git a/Cell2Fire/ScottAndBurganKernel.cpp b/Cell2Fire/ScottAndBurganKernel.cpp new file mode 100644 index 00000000..f9f55b95 --- /dev/null +++ b/Cell2Fire/ScottAndBurganKernel.cpp @@ -0,0 +1,793 @@ +/* coding: utf-8 +__version__ = "3.0" +__author__ = "Jaime Carrasco-Barra" +__maintainer__ = "Jaime Carrasco-Barra, Matilde Rivas, David Palacios" +*/ +#include "ScottAndBurganKernel.h" +#include // int16_t: no llega transitivamente en MinGW/MSVC +#include "Cells.h" +#include "FuelModelUtils.h" +#include "ReadArgs.h" +#include +#include +#include +#include +#include +#include + +using namespace std; + +/** + * Global coefficients + */ +int16_t HEAT_YIELD = 18000; // unidad kJ/kg + + +// ===================== Rothermel S&B con humedad CONTINUA (operativo) ===================== +// Reemplaza la forma cerrada p/q por el modelo Rothermel de superficie evaluado con la +// humedad real (5 clases). Validado <1% vs firelab/behave (dominio publico) y paquete R. +namespace { +struct FuelSB { double depth,mx,hD,hL,l1,l10,l100,lh,lw,s1,sh,sw; int dyn; }; +static std::unordered_map& sbTable(){ + static std::unordered_map T; + if(T.empty()){ + // Modelos originales de Anderson (1982), NFFL 1-13. Se incluyen porque hay + // cartografia historica y de LANDFIRE codificada asi; Scott & Burgan (2005) + // los sucede pero no los reemplaza en los datos existentes. Cargas en + // toneladas/acre, como el resto de la tabla. Ninguno es dinamico. + T[1]=FuelSB{1.0,0.12,8000.0,8000.0,0.7405,0.0,0.0,0.0,0.0,3500.0,1500.0,1500.0,0}; // FM1: Short grass + T[2]=FuelSB{1.0,0.15,8000.0,8000.0,2.0038,1.0019,0.5009,0.5009,0.0,3000.0,1500.0,1500.0,0}; // FM2: Timber grass and understory + T[3]=FuelSB{2.5,0.25,8000.0,8000.0,3.0056,0.0,0.0,0.0,0.0,1500.0,1500.0,1500.0,0}; // FM3: Tall grass + T[4]=FuelSB{6.0,0.2,8000.0,8000.0,5.0094,4.0075,2.0038,0.0,5.0094,2000.0,1500.0,1500.0,0}; // FM4: Chaparral + T[5]=FuelSB{2.0,0.2,8000.0,8000.0,1.0019,0.5009,0.0,0.0,2.0038,2000.0,1500.0,1500.0,0}; // FM5: Brush + T[6]=FuelSB{2.5,0.25,8000.0,8000.0,1.5028,2.5047,2.0038,0.0,0.0,1750.0,1500.0,1500.0,0}; // FM6: Dormant brush, hardwood slash + T[7]=FuelSB{2.5,0.4,8000.0,8000.0,1.1326,1.8731,1.5028,0.0,0.3703,1750.0,1500.0,1500.0,0}; // FM7: Southern rough + T[8]=FuelSB{0.2,0.3,8000.0,8000.0,1.5028,1.0019,2.5047,0.0,0.0,2000.0,1500.0,1500.0,0}; // FM8: Short needle litter + T[9]=FuelSB{0.2,0.25,8000.0,8000.0,2.9185,0.4138,0.1525,0.0,0.0,2500.0,1500.0,1500.0,0}; // FM9: Long needle or hardwood litter + T[10]=FuelSB{1.0,0.25,8000.0,8000.0,3.0056,2.0038,5.0094,0.0,2.0038,2000.0,1500.0,1500.0,0}; // FM10: Timber litter & understory + T[11]=FuelSB{1.0,0.15,8000.0,8000.0,1.5028,4.5085,5.5103,0.0,0.0,1500.0,1500.0,1500.0,0}; // FM11: Light logging slash + T[12]=FuelSB{2.3,0.2,8000.0,8000.0,4.0075,14.0263,16.531,0.0,0.0,1500.0,1500.0,1500.0,0}; // FM12: Medium logging slash + T[13]=FuelSB{3.0,0.25,8000.0,8000.0,7.0132,23.0432,28.0526,0.0,0.0,1500.0,1500.0,1500.0,0}; // FM13: Heavy logging slash + T[101]=FuelSB{0.4,0.15,8000.0,8000.0,0.1,0.0,0.0,0.3,0.0,2200.0,2000.0,1500.0,1}; + T[102]=FuelSB{1.0,0.15,8000.0,8000.0,0.1,0.0,0.0,1.0,0.0,2000.0,1800.0,1500.0,1}; + T[103]=FuelSB{2.0,0.3,8000.0,8000.0,0.1,0.4,0.0,1.5,0.0,1500.0,1300.0,1500.0,1}; + T[104]=FuelSB{2.0,0.15,8000.0,8000.0,0.25,0.0,0.0,1.9,0.0,2000.0,1800.0,1500.0,1}; + T[105]=FuelSB{1.5,0.4,8000.0,8000.0,0.4,0.0,0.0,2.5,0.0,1800.0,1600.0,1500.0,1}; + T[106]=FuelSB{1.5,0.4,9000.0,9000.0,0.1,0.0,0.0,3.4,0.0,2200.0,2000.0,1500.0,1}; + T[107]=FuelSB{3.0,0.15,8000.0,8000.0,1.0,0.0,0.0,5.4,0.0,2000.0,1800.0,1500.0,1}; + T[108]=FuelSB{4.0,0.3,8000.0,8000.0,0.5,1.0,0.0,7.3,0.0,1500.0,1300.0,1500.0,1}; + T[109]=FuelSB{5.0,0.4,8000.0,8000.0,1.0,1.0,0.0,9.0,0.0,1800.0,1600.0,1500.0,1}; + T[110]=FuelSB{0.35,24.0,19000.0,19000.0,0.3,0.0,0.0,1.2,0.0,6000.0,6000.0,6000.0,1}; + T[111]=FuelSB{0.6,24.0,19000.0,19000.0,0.5,0.1,0.0,2.5,0.3,4000.0,6000.0,4000.0,1}; + T[121]=FuelSB{0.9,0.15,8000.0,8000.0,0.2,0.0,0.0,0.5,0.65,2000.0,1800.0,1800.0,1}; + T[122]=FuelSB{1.5,0.15,8000.0,8000.0,0.5,0.5,0.0,0.6,1.0,2000.0,1800.0,1800.0,1}; + T[123]=FuelSB{1.8,0.4,8000.0,8000.0,0.3,0.25,0.0,1.45,1.25,1800.0,1600.0,1600.0,1}; + T[124]=FuelSB{2.1,0.4,8000.0,8000.0,1.9,0.3,0.1,3.4,7.1,1800.0,1600.0,1600.0,1}; + T[141]=FuelSB{1.0,0.15,8000.0,8000.0,0.25,0.25,0.0,0.15,1.3,2000.0,1800.0,1600.0,1}; + T[142]=FuelSB{1.0,0.15,8000.0,8000.0,1.35,2.4,0.75,0.0,3.85,2000.0,1800.0,1600.0,1}; + T[143]=FuelSB{2.4,0.4,8000.0,8000.0,0.45,3.0,0.0,0.0,6.2,1600.0,1800.0,1400.0,1}; + T[144]=FuelSB{3.0,0.3,8000.0,8000.0,0.85,1.15,0.2,0.0,2.55,2000.0,1800.0,1600.0,1}; + T[145]=FuelSB{6.0,0.15,8000.0,8000.0,3.6,2.1,0.0,0.0,2.9,750.0,1800.0,1600.0,1}; + T[146]=FuelSB{2.0,0.3,8000.0,8000.0,2.9,1.45,0.0,0.0,1.4,750.0,1800.0,1600.0,1}; + T[147]=FuelSB{6.0,0.15,8000.0,8000.0,3.5,5.3,2.2,0.0,3.4,750.0,1800.0,1600.0,1}; + T[148]=FuelSB{3.0,0.4,8000.0,8000.0,2.05,3.4,0.85,0.0,4.35,750.0,1800.0,1600.0,1}; + T[149]=FuelSB{4.4,0.4,8000.0,8000.0,4.5,2.45,0.0,1.55,7.0,750.0,1800.0,1500.0,1}; + T[150]=FuelSB{4.0,20.0,8000.0,8000.0,1.3,1.0,1.0,2.0,2.0,640.0,2200.0,640.0,0}; + T[151]=FuelSB{3.0,13.0,10000.0,10000.0,2.0,3.0,1.0,0.5,2.0,640.0,2200.0,640.0,0}; + T[152]=FuelSB{6.0,15.0,8000.0,8000.0,2.2,4.8,1.8,3.0,2.8,500.0,1500.0,500.0,0}; + T[153]=FuelSB{3.0,15.0,9211.0,9211.0,3.0,4.5,1.1,1.4,5.0,350.0,1500.0,250.0,0}; + T[154]=FuelSB{3.0,25.0,9200.0,9200.0,5.5,0.8,0.1,0.75,2.5,640.0,1500.0,640.0,0}; + T[155]=FuelSB{0.55,25.0,19500.0,19500.0,1.0,1.0,0.0,1.5,5.5,4500.0,8500.0,4000.0,1}; + T[156]=FuelSB{0.9,20.0,20500.0,20500.0,4.0,0.5,0.0,0.0,7.0,3000.0,3000.0,3000.0,0}; + T[157]=FuelSB{0.5,35.0,21000.0,21000.0,6.0,0.5,0.0,0.0,7.5,4500.0,4500.0,4500.0,0}; + T[158]=FuelSB{1.7,24.0,20500.0,20500.0,6.0,4.0,0.0,0.0,13.0,2500.0,3000.0,3000.0,0}; + T[159]=FuelSB{1.05,35.0,21000.0,21000.0,9.5,2.5,0.0,0.0,14.5,3500.0,4000.0,4000.0,0}; + T[161]=FuelSB{0.6,0.2,8000.0,8000.0,0.2,0.9,1.5,0.2,0.9,2000.0,1800.0,1600.0,1}; + T[162]=FuelSB{1.0,0.3,8000.0,8000.0,0.95,1.8,1.25,0.0,0.2,2000.0,1800.0,1600.0,1}; + T[163]=FuelSB{1.3,0.3,8000.0,8000.0,1.1,0.15,0.25,0.65,1.1,1800.0,1600.0,1400.0,1}; + T[164]=FuelSB{0.5,0.12,8000.0,8000.0,4.5,0.0,0.0,0.0,2.0,2300.0,1800.0,2000.0,1}; + T[165]=FuelSB{1.0,0.25,8000.0,8000.0,4.0,4.0,3.0,0.0,3.0,1500.0,1800.0,750.0,1}; + T[166]=FuelSB{0.4,26.0,21000.0,20500.0,1.37,2.89,1.59,0.0,1.84,4500.0,4200.0,5000.0,0}; + T[167]=FuelSB{0.1,30.0,20500.0,20500.0,2.71,1.0,0.0,0.66,0.1,5500.0,8000.0,4500.0,1}; + T[168]=FuelSB{0.3,35.0,19500.0,19500.0,4.5,1.5,0.5,2.35,0.48,6000.0,8000.0,4500.0,1}; + T[169]=FuelSB{0.63,30.0,20000.0,20000.0,4.54,1.87,0.61,0.0,9.08,6000.0,4921.0,5000.0,0}; + T[170]=FuelSB{0.5,27.0,20500.0,20500.0,5.65,1.5,0.48,0.0,7.89,5000.0,4921.0,5500.0,0}; + T[171]=FuelSB{0.5,40.0,20500.0,21500.0,7.21,3.0,0.0,0.0,6.89,5500.0,5500.0,6000.0,0}; + T[172]=FuelSB{0.64,32.0,21000.0,21000.0,8.37,3.81,0.0,0.0,4.51,4700.0,4200.0,5000.0,0}; + T[181]=FuelSB{0.2,0.3,8000.0,8000.0,1.0,2.2,3.6,0.0,0.0,2000.0,1800.0,1600.0,1}; + T[182]=FuelSB{0.2,0.25,8000.0,8000.0,1.4,2.3,2.2,0.0,0.0,2000.0,1800.0,1600.0,1}; + T[183]=FuelSB{0.3,0.2,8000.0,8000.0,0.5,2.2,2.8,0.0,0.0,2000.0,1800.0,1600.0,1}; + T[184]=FuelSB{0.4,0.25,8000.0,8000.0,0.5,1.5,4.2,0.0,0.0,2000.0,1800.0,1600.0,1}; + T[185]=FuelSB{0.6,0.25,8000.0,8000.0,1.15,2.5,4.4,0.0,0.0,2000.0,1800.0,160.0,1}; + T[186]=FuelSB{0.3,0.25,8000.0,8000.0,2.4,1.2,1.2,0.0,0.0,2000.0,1800.0,1600.0,1}; + T[187]=FuelSB{0.4,0.25,8000.0,8000.0,0.3,1.4,8.1,0.0,0.0,2000.0,1800.0,1600.0,1}; + T[188]=FuelSB{0.3,0.35,8000.0,8000.0,5.8,1.4,1.1,0.0,0.0,1800.0,1800.0,1600.0,1}; + T[189]=FuelSB{0.6,0.35,8000.0,8000.0,6.65,3.3,4.15,0.0,0.0,1800.0,1800.0,1600.0,1}; + T[190]=FuelSB{0.05,28.0,20500.0,20500.0,3.75,2.0,1.0,0.0,1.18,6500.0,4921.0,4500.0,0}; + T[191]=FuelSB{0.15,25.0,20500.0,20500.0,2.67,1.27,0.69,0.0,1.16,4500.0,5500.0,5000.0,0}; + T[192]=FuelSB{0.1,45.0,20500.0,21500.0,6.5,1.5,0.0,0.0,0.0,5500.0,5500.0,5500.0,0}; + T[193]=FuelSB{0.32,26.0,21000.0,20500.0,4.63,2.96,1.27,0.0,1.12,4200.0,4200.0,5000.0,0}; + T[201]=FuelSB{1.0,0.25,8000.0,8000.0,1.5,3.0,11.0,0.0,0.0,2000.0,1800.0,1600.0,1}; + T[202]=FuelSB{1.0,0.25,8000.0,8000.0,4.5,4.25,4.0,0.0,0.0,2000.0,1800.0,1600.0,1}; + T[203]=FuelSB{1.2,0.25,8000.0,8000.0,5.5,2.75,3.0,0.0,0.0,2000.0,1800.0,1600.0,1}; + T[204]=FuelSB{2.7,0.25,8000.0,8000.0,5.25,3.5,5.25,0.0,0.0,2000.0,1800.0,1600.0,1}; + } + // --- Modelos de combustible de Portugal (Fernandes et al.) --- + T[211]=FuelSB{1.0499,0.260,9028.4,9028.4,2.0654,1.3204,0.5665,0.0000,0.4996,1280.2,1500.0,1524.0,0}; // F-EUC + T[212]=FuelSB{0.4921,0.250,8813.4,8813.4,1.1911,0.5665,0.3078,0.0000,0.5175,1371.6,1500.0,1524.0,0}; // F-FOL + T[213]=FuelSB{0.3281,0.450,8813.4,8813.4,2.8996,0.6691,0.0000,0.0000,0.0000,1676.4,1500.0,1500.0,0}; // F-PIN + T[214]=FuelSB{0.1640,0.280,8813.4,8813.4,1.6728,0.8922,0.4461,0.0000,0.5264,1981.2,1500.0,1371.6,0}; // F-RAC + T[221]=FuelSB{2.0669,0.300,8598.5,8598.5,2.0252,0.8342,0.2721,0.0000,4.0505,1828.8,1500.0,1524.0,0}; // M-CAD + T[222]=FuelSB{1.6404,0.250,8813.4,8813.4,2.5204,0.6691,0.2141,0.0000,3.5197,1524.0,1500.0,1676.4,0}; // M-ESC + T[223]=FuelSB{2.0997,0.320,9028.4,9028.4,3.7338,1.6996,0.0000,0.0000,2.0119,1432.6,1500.0,1524.0,0}; // M-EUC + T[224]=FuelSB{1.3123,0.260,9028.4,9028.4,0.6111,1.2892,0.7093,0.0000,0.8208,1371.6,1500.0,1524.0,0}; // M-EUCd + T[225]=FuelSB{0.9843,0.350,9028.4,9028.4,2.0074,0.6691,0.2230,1.0483,0.2141,1828.8,2438.4,1371.6,0}; // M-F + T[226]=FuelSB{0.3281,0.300,8813.4,8813.4,1.2089,0.4461,0.0000,0.2677,0.0446,1676.4,2438.4,1371.6,0}; // M-H + T[227]=FuelSB{1.6404,0.400,9028.4,9028.4,3.2163,1.3383,0.0000,0.0000,3.0736,1676.4,1500.0,1828.8,0}; // M-PIN + T[231]=FuelSB{1.9685,0.240,8168.5,8168.5,0.2900,0.0669,0.0000,1.0483,0.1784,1219.2,1676.4,1219.2,1}; // V-Ha + T[232]=FuelSB{1.1483,0.240,8383.5,8383.5,0.1338,0.0000,0.0000,0.5353,0.0000,1828.8,1828.8,1500.0,1}; // V-Hb + T[233]=FuelSB{3.4449,0.350,9028.4,9028.4,4.2379,1.1152,0.0000,0.0000,6.4683,1066.8,1500.0,1219.2,1}; // V-MAa + T[234]=FuelSB{1.6404,0.350,9028.4,9028.4,2.6765,0.2230,0.0000,0.0000,3.3457,1066.8,1500.0,1371.6,1}; // V-MAb + T[235]=FuelSB{1.8045,0.250,8383.5,8383.5,0.4461,0.4461,0.0000,0.6691,2.4535,1371.6,2590.8,1219.2,1}; // V-MH + T[236]=FuelSB{5.5774,0.250,8813.4,8813.4,2.6765,1.7844,0.0000,0.0000,5.7992,762.0,1500.0,914.4,1}; // V-MMa + T[237]=FuelSB{2.9528,0.200,8813.4,8813.4,1.7844,0.2230,0.0000,0.0000,3.1226,914.4,1500.0,914.4,1}; // V-MMb + return T; +} +static inline double etaM_sb(double r){ if(r>1)r=1; return 1-2.59*r+5.11*r*r-3.52*r*r*r; } +// ROS [m/min] y flame length [m]; viento midflame en km/h, pendiente fraccion +static void rothermel_s(int fmid,double m1,double m10,double m100,double mlh,double mlw, + double ws10m_kmh,double waz,double cover,double canHt_m, + double slope,double saz, + double* rosOut,double* flOut,double* razOut,double* effWind10mOut){ + *rosOut=0; *flOut=0; + auto it=sbTable().find(fmid); if(it==sbTable().end()) return; + const FuelSB& fm=it->second; + const double RHO_P=32.0,S_T=0.0555,S_E=0.010,TON_AC=0.0459137,KMH2FT=54.6806649; + double w1=fm.l1*TON_AC,w10=fm.l10*TON_AC,w100=fm.l100*TON_AC,wlh=fm.lh*TON_AC,wlw=fm.lw*TON_AC; + double s1=fm.s1,s10=109,s100=30,slh=fm.sh,slw=fm.sw; + if(fm.dyn && wlh>0){ + double kt=(1.20-mlh)/0.90; if(kt<0)kt=0; if(kt>1)kt=1; + double f1=w1*s1/RHO_P,f4=(wlh*kt)*slh/RHO_P; + if(f1+f4>0) s1=(f1*s1+f4*slh)/(f1+f4); + w1+=wlh*kt; wlh-=wlh*kt; + } + double w[5],s[5],mf[5]; int lv[5],n=0; + auto add=[&](double ww,double ss,double mm,int l){ if(ww>0){w[n]=ww;s[n]=ss;mf[n]=mm;lv[n]=l;n++;} }; + add(w1,s1,m1,0); add(w10,s10,m10,0); add(w100,s100,m100,0); add(wlh,slh,mlh,1); add(wlw,slw,mlw,1); + if(n==0) return; + double A[5],Ad=0,Al=0,Wt=0; + for(int i=0;i0?A[i]/Al:0):(Ad>0?A[i]/Ad:0), wn=w[i]*(1-S_T); + if(lv[i]){sigL+=f*s[i];wnL+=f*wn;MfL+=f*mf[i];} else {sigD+=f*s[i];wnD+=f*wn;MfD+=f*mf[i];} + } + double sig=Fd*sigD+Fl*sigL; if(sig<=0) return; + double rho_b=Wt/fm.depth,beta=rho_b/RHO_P,beta_op=3.348*pow(sig,-0.8189),rpr=beta/beta_op; + double MxD=fm.mx,MxL=MxD; + if(Al>0&&Ad>0){ + double num=0,den=0,fn=0,fd2=0; + for(int i=0;i0?num/den:0),mff=(fd2>0?fn/fd2:0); + MxL=2.9*Wp*(1-mff/MxD)-0.226; if(MxL0?etaM_sb(MfD/MxD):0),etaMl=(MxL>0?etaM_sb(MfL/MxL):0); + double eta_s=0.174*pow(S_E,-0.19); if(eta_s>1)eta_s=1; + double Gmax=pow(sig,1.5)/(495.0+0.0594*pow(sig,1.5)),Aexp=133.0*pow(sig,-0.7913); + double Gamma=Gmax*pow(rpr,Aexp)*exp(Aexp*(1-rpr)); + double IR=Gamma*(wnD*fm.hD*etaMd*eta_s+wnL*fm.hL*etaMl*eta_s); + double xi=exp((0.792+0.681*sqrt(sig))*(beta+0.1))/(192.0+0.2595*sig); + double C=7.47*exp(-0.133*pow(sig,0.55)),B=0.02526*pow(sig,0.54),E=0.715*exp(-3.59e-4*sig); + double hsD=0,hsL=0; + for(int i=0;i0?A[i]/Al:0):(Ad>0?A[i]/Ad:0),t=exp(-138.0/s[i])*(250.0+1116.0*mf[i]); if(lv[i])hsL+=f*t; else hsD+=f*t;} + double hsink=rho_b*(Fd*hsD+Fl*hsL); if(hsink<=0||IR<=0) return; + // Wind Adjustment Factor (Andrews 2012, como behave/FARSITE): 10m -> 20ft -> midflame + double canHt_ft = canHt_m * 3.280839895; // SI: tree height en metros -> ft (constantes WAF en ft) + double waf, crownFrac = cover * 3.14159265358979 / 12.0; + if (cover < 1e-7 || crownFrac < 0.05 || canHt_ft < 6.0) + waf = 1.83 / log((20.0 + 0.36 * fm.depth) / (0.13 * fm.depth)); // unsheltered (fuel bed depth) + else + waf = 0.555 / (sqrt(crownFrac * canHt_ft) * log((20.0 + 0.36 * canHt_ft) / (0.13 * canHt_ft))); // sheltered + if (waf < 0.0) waf = 0.0; if (waf > 1.0) waf = 1.0; + double U = (ws10m_kmh / 1.15) * waf * KMH2FT; // 10-m wind -> 20ft -> midflame -> ft/min + double phiw=U>0?C*pow(U,B)*pow(rpr,-E):0.0, phis=5.275*pow(beta,-0.3)*slope*slope; + double R0ft=IR*xi/hsink; // ROS sin viento ni pendiente + // --- Combinación vectorial viento-pendiente (behave/FARSITE SurfaceFireSpread) --- + const double PI_=3.14159265358979; + double splitRad=(waz - saz)*PI_/180.0; // viento relativo al upslope (saz = upslope azimuth) + double vx=phis + phiw*cos(splitRad); // componente a lo largo del upslope + double vy=phiw*sin(splitRad); // componente perpendicular + double phiEff=sqrt(vx*vx+vy*vy); // coeficiente efectivo combinado + double Umax=0.9*IR, phiMax=C*pow(Umax,B)*pow(rpr,-E); // límite de viento efectivo (behave) + if(phiEff>phiMax) phiEff=phiMax; + double Rft=R0ft*(1.0+phiEff); if(Rft<0)Rft=0; + *rosOut=Rft*0.3048; + double off=atan2(vy,vx)*180.0/PI_; // offset desde upslope + double raz=saz+off; while(raz<0)raz+=360.0; while(raz>=360.0)raz-=360.0; + *razOut=raz; // dirección de máximo avance (viento+pendiente) + double Ueff_ft=(phiEff>0)?pow(phiEff/(C*pow(rpr,-E)),1.0/B):0.0; // viento efectivo midflame [ft/min] + *effWind10mOut=(waf>0)?(Ueff_ft/KMH2FT)*1.15/waf:ws10m_kmh; // equivalente a 10 m [km/h] para l_to_b + double tau=384.0/sig,HPA=IR*tau,IB=HPA*Rft/60.0; + *flOut=0.45*pow(IB,0.46)*0.3048; +} + +// Carga total de combustible (tons/acre) y poder calorifico (BTU/lb) desde sbTable. +// Reemplaza el antiguo fm_parameters (que solo tenia 101-204); ahora cubre todos los +// modelos de sbTable, incluidos los de Portugal (211-237). +static inline bool sbLoadHeat(int fmid, double& wa, double& H){ + auto it = sbTable().find(fmid); + if(it==sbTable().end()){ wa=0.0; H=8000.0; return false; } + const FuelSB& f = it->second; + wa = f.l1 + f.l10 + f.l100 + f.lh + f.lw; + H = f.hD; + return (wa>0.0); +} +} // namespace + +// Devuelve todos los codigos de combustible disponibles en sbTable (S&B 101-204 + +// Portugal 211-237). Sirve para construir un lookup identidad cuando el usuario no +// entrega spain_lookup_table.csv (el valor del raster ES el codigo del modelo). +std::vector sbAllFuelCodes(){ + std::vector v; + for(const auto& kv : sbTable()) v.push_back(kv.first); + std::sort(v.begin(), v.end()); + return v; +} + +// TODO: citation needed + +// TODO: citation needed +float +flankfire_ros_s(float ros, float bros, float lb) +{ + return ((ros + bros) / (lb * 2.0)); +} + +/* ----------------- Length-to-Breadth --------------------------*/ +// TODO: citation needed +float +l_to_b(float ws) +{ + // if(strncmp(ft,"O1",2)==0)return( ws<1.0 ? 1.0 : (1.1*pow(ws,0.464))); + float alpha, beta, factor; + alpha = 0.2566; + beta = -0.1548; + factor = 1000.0 / 3600.0; + return pow((0.936 * exp(alpha * factor * ws) + 0.461 * exp(beta * factor * ws) - 0.397), 0.45); +} + +/* ----------------- Back Rate of Spread --------------------------*/ +// TODO: citation needed +float +backfire_ros_s(main_outs* at, snd_outs* sec) +{ + float hb, bros, lb; + // lb = l_to_b(data->fueltype,at->wsv); + lb = sec->lb; + hb = (lb + sqrt(pow(lb, 2) - 1.0)) / (lb - sqrt(pow(lb, 2) - 1.0)); + + bros = at->rss / hb; + + return bros * (bros >= 0); +} + +// TODO: citation needed + +/** + * @brief Calculates the flame length of a cell when there is crown fire. + * @param intensity Byram intensity for crown fires + * @return the flame length + */ + +// TODO: citation needed +float +crown_flame_length(float intensity) +{ + float fl = 0.1 * pow(intensity, 0.5); + if (fl < 0.01) + { + return 0; + } + else + { + return std::ceil(fl * 100.0) / 100.0; + } +} + +// TODO: citation needed +float +byram_intensity(main_outs* at, fuel_coefs* ptr) +{ + float fl, ib; + fl = at->fl; + ib = 259.833 * pow(fl, 2.174); + ib = std::ceil(ib * 100.0) / 100.0; + return ib; +} + +/** + * Calculates byram fire intensity when there is active crown fire. + * In order for this to be calculated, the input folder must contain + * files with CBD, CBH and tree height data for each cell. + * @param at Structure containing the cell's output data. + * @param data Structure containing the cell's input data. + * @return Fire intensity. + */ +// TODO: citation needed +float +crown_byram_intensity(main_outs* at, inputs* data) +{ + float canopy_height; + if (data->tree_height == -9999) + { + canopy_height = data->cbh * 2; + } + else + { + canopy_height = data->tree_height - data->cbh; + } + if (canopy_height < 0) + { + std::cerr << "Tree height is lower than canopy base height, please provide valid files.\n" + "Could not calculate crown Byram intensity due to invalid input data" + << std::endl; + throw std::runtime_error("Could not calculate crown Byram intensity due to invalid input data"); + } + return std::ceil((HEAT_YIELD / 60) * data->cbd * canopy_height * at->ros_active * 100.0) / 100.0; +} + +int +fmc_scen(inputs* data) +{ + int fmc; + fmc = data->FMC; + return fmc; +} + +bool +fire_type(inputs* data, main_outs* at) +{ + float intensity, critical_intensity, cbh; + int fmc; + bool crownFire = false; + + intensity = at->sfi; + cbh = data->cbh; + fmc = fmc_scen(data); + critical_intensity = pow((0.01 * cbh * (460 + 25.9 * fmc)), 1.5); + // TODO: citation needed + if ((intensity > critical_intensity) && cbh != 0) + crownFire = true; + + return crownFire; +} + +// TODO: citation needed +float +rate_of_spread10(inputs* data, arguments* args, float ws) +{ + const float p1 = 0.2802; + const float p2 = 0.07786; + const float p3 = 0.01123; + float ros10 = 1. / (p1 * exp(-p2 * ws * 0.4) + p3); + + float ROS10Factor = args->ROS10Factor; + float CCFFactor = args->CCFFactor; + float CBDFactor = args->CBDFactor; + float ccf = data->ccf; + float cbd = data->cbd; + float ros = ROS10Factor * ros10 + CCFFactor * ccf + CBDFactor * cbd; + return (ros); +} + +// TODO: citation needed +float +final_rate_of_spread10(inputs* data, main_outs* at) +{ + float ros_active, ros_final, ros; + ros = at->rss; + ros_active = at->ros_active; + ros_final = ros + at->cfb * (ros_active - ros); + return (ros_final); +} + +// TODO: citation needed +float +backfire_ros10_s(fire_struc* hptr, snd_outs* sec) +{ + float hb, bros, lb; + lb = sec->lb; + hb = (lb + sqrt(pow(lb, 2) - 1.0)) / (lb - sqrt(pow(lb, 2) - 1.0)); + + bros = hptr->ros / hb; + + return bros; +} + +// TODO: citation needed +float +crownfractionburn(inputs* data, main_outs* at) +{ // generar output de cfb + float a, cbd, ros, ros0, H, wa, i0, cbh, FMC, cfb; + FMC = fmc_scen(data); + ; // modificar para ingresar manualmente + cbh = data->cbh; + i0 = pow((0.01 * cbh * (460 + 25.9 * FMC)), 1.5); + { double _wa, _H; sbLoadHeat(data->nftype, _wa, _H); wa = (float)_wa; H = (float)_H; } + cbd = data->cbd; + ros0 = 60 * i0 / (H * wa); + ros = at->rss; + if (cbd != 0) + { + a = -log(0.1) / (0.9 * (3.0 / cbd - ros0)); + // a=0.23; + } + else + { + a = 0.23; + } + cfb = 1 - exp(-a * (ros - ros0)); + if (cfb < 0) + { + cfb = 0; + } + return cfb; +} + +// TODO: citation needed +bool +checkActive(inputs* data, main_outs* at) // En s&b se usa fm10 +{ + float rac, cbd, H, wa, i0, cbh, fmc; + bool active; + // rac = at->ros_active; + fmc = fmc_scen(data); + ; // modificar para ingresar manualmente + cbh = data->cbh; + i0 = pow((0.01 * cbh * (460 + 25.9 * fmc)), 1.5); + { double _wa, _H; sbLoadHeat(data->nftype, _wa, _H); wa = (float)_wa; H = (float)_H; } + cbd = data->cbd; + rac = 60 * i0 / (H * wa); // rate active crown + + active = cbd * rac >= 3; + return active; +} + +// ===================== Mode 2: humedad de combustible ESPACIAL (solar/topográfica) ===================== +// Cadena por celda: geometría solar -> irradiancia incidente en la ladera -> sombreado (dosel) +// -> ΔT de calentamiento -> T_fuel, RH_fuel -> EMC (Simard 1968). Con I=0 se reduce a 'conditioning'. +// Constantes de calentamiento (ALPHA, HC_A, HC_B) son parámetros de calibración. +namespace m2 +{ +constexpr double M2PI = 3.14159265358979323846; +constexpr double D2R = M2PI / 180.0, R2D = 180.0 / M2PI; +constexpr double I_SC = 1367.0, TAU_CLEAR = 0.70, SCALE_H = 8434.5; +constexpr double ALPHA = 0.88, HC_A = 45.0, HC_B = 14.0; + +inline double solar_declination(double J) { return 23.45 * std::sin(2.0 * M2PI * (284.0 + J) / 365.0); } +inline double eccentricity(double J) { return 1.0 + 0.033 * std::cos(2.0 * M2PI * J / 365.0); } +inline double hour_angle(double h) { return 15.0 * (h - 12.0); } +inline double solar_altitude(double lat, double decl, double H) +{ + double s = std::sin(lat * D2R) * std::sin(decl * D2R) + + std::cos(lat * D2R) * std::cos(decl * D2R) * std::cos(H * D2R); + s = std::max(-1.0, std::min(1.0, s)); + return std::asin(s) * R2D; +} +inline double solar_azimuth(double lat, double decl, double H, double beta) +{ + if (beta <= 0) return 0.0; + double sinA = std::cos(decl * D2R) * std::sin(H * D2R) / std::cos(beta * D2R); + double cosA = (std::sin(beta * D2R) * std::sin(lat * D2R) - std::sin(decl * D2R)) + / (std::cos(beta * D2R) * std::cos(lat * D2R)); + double A = std::atan2(sinA, cosA) * R2D + 180.0; + return std::fmod(A + 360.0, 360.0); +} +inline double air_mass(double beta) +{ + if (beta <= 0) return 1.0e9; + return 1.0 / (std::sin(beta * D2R) + 0.50572 * std::pow(beta + 6.07995, -1.6364)); +} +inline double beam_normal(double beta, double elev, double tau, double J) +{ + if (beta <= 0) return 0.0; + double am = air_mass(beta) * std::exp(-elev / SCALE_H); + return I_SC * eccentricity(J) * std::pow(tau, std::pow(am, 0.678)); +} +inline double cos_incidence(double beta, double A_sun, double slope_pct, double saz) +{ + double S = std::atan(slope_pct / 100.0); + double A_face = std::fmod(saz + 180.0, 360.0); + return std::sin(beta * D2R) * std::cos(S) + + std::cos(beta * D2R) * std::sin(S) * std::cos((A_sun - A_face) * D2R); +} +inline double saturation_vp(double T) { return 0.6108 * std::exp(17.27 * T / (T + 237.3)); } +inline double emc_simard(double Tf_c, double RH) +{ + double Tf = Tf_c * 9.0 / 5.0 + 32.0, e; + if (RH < 10.0) e = 0.03229 + 0.281073 * RH - 0.000578 * RH * Tf; + else if (RH <= 50.0) e = 2.22749 + 0.160107 * RH - 0.014784 * Tf; + else e = 21.0606 + 0.005565 * RH * RH - 0.00035 * RH * Tf - 0.483199 * RH; + return std::max(0.0, e); +} +// EMC [%] por celda. ws en m/s. ccf en % o fracción. cloud 0..1. +inline double dead_fuel_emc(double lat, double J, double h, double slope_pct, double saz, + double elev, double ccf, double cloud, + double T_air, double RH_air, double U_ms) +{ + double cc = (ccf > 1.0 ? ccf / 100.0 : ccf); + double decl = solar_declination(J), H = hour_angle(h); + double beta = solar_altitude(lat, decl, H); + double I = 0.0; + if (beta > 0) + { + double A = solar_azimuth(lat, decl, H, beta); + double ci = std::max(cos_incidence(beta, A, slope_pct, saz), 0.0); + I = beam_normal(beta, elev, TAU_CLEAR, J) * ci * (1.0 - cloud) * (1.0 - cc); + } + double dT = ALPHA * I / (HC_A + HC_B * std::max(U_ms, 0.0)); + double Tf = T_air + dT; + double RHf = RH_air * saturation_vp(T_air) / saturation_vp(Tf); + RHf = std::max(0.0, std::min(100.0, RHf)); + return emc_simard(Tf, RHf); +} +} // namespace m2 + +void +calculate_s(inputs* data, + fuel_coefs* ptr, + arguments* args, + main_outs* at, + snd_outs* sec, + fire_struc* hptr, + fire_struc* fptr, + fire_struc* bptr, + bool& activeCrown, + weatherDF* wdf_ptr) +{ + + // Aux + float ros, bros, lb, fros; + float _rothermel_fl = 0; // continuous-moisture S&B + float _eff_wind_10m = wdf_ptr->ws; // viento efectivo (10-m equiv) viento+pendiente + bool crownFire = false; + // Populate fuel coefs struct + // ptr->fueltype = data->fueltype; + if (args->verbose) + { + std::cout << "Populate fuel types " << std::endl; + std::cout << "NfTypes:" << data->nftype << std::endl; + std::cout << "scen:" << args->scenario << std::endl; + } + // (legacy p_coeff/q_coeff eliminado: la ROS/llama vienen de rothermel_s) + ptr->nftype = data->nftype; + + // Step 1: Calculate HROS (surface) -- Rothermel con humedad continua (5 clases) + { + double _ros = 0, _fl = 0, _raz = 0, _effw = 0; + double _cover = (data->ccf > 1.0 ? data->ccf / 100.0 : data->ccf); // fraction + // Modo 2 (spatial): humedad muerta por celda (solar/topografía + sombreado de dosel). + // v1: las tres clases (1h/10h/100h) toman el mismo EMC estacionario por celda. + double _m1 = wdf_ptr->m1h, _m10 = wdf_ptr->m10h, _m100 = wdf_ptr->m100h; + // --fmc-shading: bandera unificada de acondicionamiento solar/topografico (ambos kernels). + // --moisture-mode spatial se mantiene como alias retrocompatible. + if (args->MoistureMode == "spatial" || args->FmcShading) + { + double _lat = (args->HasLatitude ? (double)args->Latitude : (double)data->lat); + double _U = wdf_ptr->ws / 3.6; // km/h -> m/s (proxy cerca de superficie) + double _emc = m2::dead_fuel_emc(_lat, wdf_ptr->doy, wdf_ptr->hour, + data->ps, data->saz, data->elev, data->ccf, + 0.0 /*cloud*/, wdf_ptr->tmp, wdf_ptr->rh, _U); + double _e = _emc / 100.0; + _m1 = _m10 = _m100 = _e; + } + rothermel_s(data->nftype, _m1, _m10, _m100, + wdf_ptr->mlh, wdf_ptr->mlw, wdf_ptr->ws, wdf_ptr->waz, _cover, + data->tree_height, data->ps / 100.0, data->saz, + &_ros, &_fl, &_raz, &_effw); + at->rss = _ros * (_ros >= 0); + at->raz = _raz; // dir. de máximo avance (viento+pendiente, FARSITE) + _rothermel_fl = _fl; + _eff_wind_10m = _effw; // viento efectivo (10-m equiv) para l_to_b + } + hptr->rss = at->rss; + + // Step 2: Calculate Length-to-breadth (viento efectivo: la pendiente alarga la elipse) + sec->lb = l_to_b(_eff_wind_10m); + + // Step 3: Calculate BROS (surface) + bptr->rss = backfire_ros_s(at, sec); + + // Step 4: Calculate central FROS (surface) + fptr->rss = flankfire_ros_s(hptr->rss, bptr->rss, sec->lb); + + // Step 5: Ellipse components + at->a = (hptr->rss + bptr->rss) / 2.; + at->b = (hptr->rss + bptr->rss) / (2. * sec->lb); + at->c = (hptr->rss - bptr->rss) / 2.; + + // Step 6: Flame Length (Rothermel/Byram, humedad continua) + at->fl = _rothermel_fl; + + // Step 7: Flame angle + at->angle = angleFL(wdf_ptr->ws, at); + + // Step 8: Flame Height + at->fh = flame_height(at); + + // Step 9: Byram Intensity + at->sfi = byram_intensity(at, ptr); + + // Step 10: Criterion for Crown Fire Initiation (no init if user does not + // want to include it) + if (args->AllowCROS && data->cbh != 0 && data->cbd != 0) + { + if (activeCrown) + { + at->ros_active = rate_of_spread10(data, args, wdf_ptr->ws); + if (!checkActive(data, at)) + { + activeCrown = false; + } + } + else + { + crownFire = fire_type(data, at); + if (args->verbose) + { + cout << "Checking crown Fire conditions " << crownFire << "\n"; + } + } + } + else + { + crownFire = false; + activeCrown = false; + } + + // If we have Crown fire, update the ROSs + if (crownFire) + { + at->ros_active = rate_of_spread10(data, args, wdf_ptr->ws); + at->cfb = crownfractionburn(data, at); + + hptr->ros = final_rate_of_spread10(data, at); + at->rss = hptr->ros; + bptr->ros = backfire_ros10_s(hptr, sec); + fptr->ros = flankfire_ros_s(hptr->ros, bptr->ros, sec->lb); + if (args->verbose) + { + cout << "hptr->ros = " << hptr->ros << "\n"; + cout << "bptr->ros = " << bptr->ros << "\n"; + cout << "fptr->ros = " << fptr->ros << "\n"; + } + at->crown_intensity = crown_byram_intensity(at, data); + at->crown_flame_length = crown_flame_length(at->crown_intensity); + + at->a = (hptr->ros + bptr->ros) / 2.; + at->b = (hptr->ros + bptr->ros) / (2. * sec->lb); + at->c = (hptr->ros - bptr->rss) / 2; + at->crown = 1; + activeCrown = true; + } + else if (activeCrown) + { + at->cfb = crownfractionburn(data, + at); // lo calculamos igual porque lo necesitamos para el output + hptr->ros = at->ros_active; + at->rss = hptr->ros; + bptr->ros = backfire_ros10_s(hptr, sec); + fptr->ros = flankfire_ros_s(hptr->ros, bptr->ros, sec->lb); + at->crown_intensity = crown_byram_intensity(at, data); + at->crown_flame_length = crown_flame_length(at->crown_intensity); + + if (args->verbose) + { + cout << "hptr->ros = " << hptr->ros << "\n"; + cout << "bptr->ros = " << bptr->ros << "\n"; + cout << "fptr->ros = " << fptr->ros << "\n"; + } + + at->a = (hptr->ros + bptr->ros) / 2.; + at->b = (hptr->ros + bptr->ros) / (2. * sec->lb); + at->c = (hptr->ros - bptr->rss) / 2; + at->crown = 1; + // std::cout << "ros_activo: " <ros << std::endl; + } + + // Otherwise, use the surface values + else + { + at->crown = 0; + at->cfb = 0; + at->crown_flame_length = 0; + at->crown_intensity = 0; + hptr->ros = hptr->rss; + bptr->ros = bptr->rss; + fptr->ros = fptr->rss; + if (args->verbose) + { + cout << "hptr->ros = " << hptr->ros << "\n"; + cout << "bptr->ros = " << bptr->ros << "\n"; + cout << "fptr->ros = " << fptr->ros << "\n"; + } + } + // if (hptr->ros>100){ + // cout << "hptr->rss = " << hptr->ros << "\n"; + + //} + + if (args->verbose) + { + cout << "--------------- Inputs --------------- \n"; + cout << "ws = " << wdf_ptr->ws << "\n"; + cout << "coef data->cbh = " << data->cbh << "\n"; + cout << "coef ptr->p1 = " << ptr->p1 << "\n"; + cout << "coef ptr->p2 = " << ptr->p2 << "\n"; + cout << "coef ptr->p3 = " << ptr->p3 << "\n"; + cout << "coef ptr->q1 = " << ptr->q1 << "\n"; + cout << "coef ptr->q2 = " << ptr->q2 << "\n"; + cout << "coef ptr->q3 = " << ptr->q3 << "\n"; + cout << "\n"; + + cout << "---------------- Outputs --------------- \n"; + cout << "at->rss = " << at->rss << "\n"; + cout << "hptr->rss = " << hptr->rss << "\n"; + cout << "lb = " << sec->lb << "\n"; + cout << "bptr->rss = " << bptr->rss << "\n"; + cout << "fptr->rss = " << fptr->rss << "\n"; + cout << "axis a = " << at->a << "\n"; + cout << "axis b = " << at->b << "\n"; + cout << "axis c = " << at->c << "\n"; + cout << "fl = " << at->fl << "\n"; + cout << "angle = " << at->angle << "\n"; + cout << "fh = " << at->fh << "\n"; + cout << "Crown Fire = " << crownFire << "\n"; + } +} + +void +determine_destiny_metrics_s(inputs* data, fuel_coefs* ptr, arguments* args, main_outs* metrics, weatherDF* wdf_ptr) +{ + // Aux + float ros = 0, bros = 0, lb = 0, fros = 0; + bool crownFire = false; + ptr->nftype = data->nftype; + // Step 6: Flame Length -- via Rothermel/BehavePlus (consistente con calculate_s), no q_coeff + { + double _r = 0, _f = 0, _z = 0, _e = 0; + double _cover = (data->ccf > 1.0 ? data->ccf / 100.0 : data->ccf); + rothermel_s(data->nftype, wdf_ptr->m1h, wdf_ptr->m10h, wdf_ptr->m100h, + wdf_ptr->mlh, wdf_ptr->mlw, wdf_ptr->ws, wdf_ptr->waz, _cover, + data->tree_height, data->ps / 100.0, data->saz, + &_r, &_f, &_z, &_e); + metrics->fl = _f; + } + // Step 9: Byram Intensity + metrics->sfi = byram_intensity(metrics, ptr); + // Set cfb value for no crown fire scenario + metrics->cfb = 0; + // Step 10: Criterion for Crown Fire Initiation (no init if user does not + // want to include it) + if (args->AllowCROS) + { + crownFire = fire_type(data, metrics); + if (crownFire) + { + metrics->cfb = crownfractionburn(data, metrics); + metrics->crown_intensity = crown_byram_intensity(metrics, data); + metrics->crown_flame_length = crown_flame_length(metrics->crown_intensity); + } + if (args->verbose) + { + cout << "Checking crown Fire conditions " << crownFire << "\n"; + } + } + else + { + crownFire = false; + } + + metrics->crown = crownFire; +} diff --git a/Cell2Fire/FuelModelSpain.h b/Cell2Fire/ScottAndBurganKernel.h similarity index 88% rename from Cell2Fire/FuelModelSpain.h rename to Cell2Fire/ScottAndBurganKernel.h index 53ddd0af..8ac1b00c 100644 --- a/Cell2Fire/FuelModelSpain.h +++ b/Cell2Fire/ScottAndBurganKernel.h @@ -3,8 +3,8 @@ __version__ = "3.0" __author__ = "Jaime Carrasco-Barra" __maintainer__ = "Jaime Carrasco-Barra, Matilde Rivas, David Palacios" */ -#ifndef FUELMODELSPAIN -#define FUELMODELSPAIN +#ifndef SCOTTANDBURGANKERNEL +#define SCOTTANDBURGANKERNEL #include "Cells.h" #include "FuelModelUtils.h" #include "ReadArgs.h" @@ -21,13 +21,11 @@ __maintainer__ = "Jaime Carrasco-Barra, Matilde Rivas, David Palacios" Functions */ // Initialize coefficients -void initialize_coeff(int scenario); // Calculate flank fire float flankfire_ros_s(float ros, float bros, float lb); // Calculate rate of spread -float rate_of_spread_s(inputs* data, fuel_coefs* ptr, main_outs* at, float ws); // Length-to-Breadth ratio float l_to_b(float ws); @@ -36,7 +34,6 @@ float l_to_b(float ws); float backfire_ros_s(main_outs* at, snd_outs* sec); // Flame length [m]) -float flame_length(inputs* data, fuel_coefs* ptr, float ws); // byram intensity float byram_intensity(inputs* data, fuel_coefs* ptr); @@ -71,4 +68,7 @@ void calculate_s(inputs* data, void determine_destiny_metrics_s(inputs* data, fuel_coefs* ptr, arguments* args, main_outs* at, weatherDF* wdf_ptr); +// Todos los codigos de combustible en sbTable (para lookup identidad opcional) +std::vector sbAllFuelCodes(); + #endif diff --git a/Cell2Fire/WindowsTests/WindowsTests.vcxproj b/Cell2Fire/WindowsTests/WindowsTests.vcxproj index ac23465d..258c7488 100644 --- a/Cell2Fire/WindowsTests/WindowsTests.vcxproj +++ b/Cell2Fire/WindowsTests/WindowsTests.vcxproj @@ -1,154 +1,154 @@ - - - - - Debug - Win32 - - - Release - Win32 - - - Debug - x64 - - - Release - x64 - - - - 17.0 - Win32Proj - {2b6d27b4-0a4b-4317-82a5-fcf545e750e5} - WindowsTests - 10.0 - - - - Application - true - v143 - Unicode - - - Application - false - v143 - true - Unicode - - - Application - true - v143 - Unicode - - - Application - false - v143 - true - Unicode - - - - - - - - - - - - - - - - - - - - - true - true - x64-windows - x64-windows - - - - Level3 - true - WIN32;_DEBUG;_CONSOLE;%(PreprocessorDefinitions) - true - - - Console - true - - - - - Level3 - true - true - true - WIN32;NDEBUG;_CONSOLE;%(PreprocessorDefinitions) - true - - - Console - true - true - true - - - - - Level3 - true - _DEBUG;_CONSOLE;%(PreprocessorDefinitions) - true - $(ProjectDir)..\vcpkg_installed\x64-windows\include;%(AdditionalIncludeDirectories) - - - Console - true - %(AdditionalDependencies) - - - - - Level3 - true - true - true - NDEBUG;_CONSOLE;%(PreprocessorDefinitions) - true - $(ProjectDir)..\vcpkg_installed\x64-windows\include;%(AdditionalIncludeDirectories) - - - Console - true - true - true - %(AdditionalDependencies) - - - - - {051fd94b-d4fc-4bda-9af4-9551628a6952} - - - - - - - - - - - - - \ No newline at end of file + + + + + Debug + Win32 + + + Release + Win32 + + + Debug + x64 + + + Release + x64 + + + + 17.0 + Win32Proj + {2b6d27b4-0a4b-4317-82a5-fcf545e750e5} + WindowsTests + 10.0 + + + + Application + true + v143 + Unicode + + + Application + false + v143 + true + Unicode + + + Application + true + v143 + Unicode + + + Application + false + v143 + true + Unicode + + + + + + + + + + + + + + + + + + + + + true + true + x64-windows + x64-windows + + + + Level3 + true + WIN32;_DEBUG;_CONSOLE;NOMINMAX;_USE_MATH_DEFINES;%(PreprocessorDefinitions) + true + + + Console + true + + + + + Level3 + true + true + true + WIN32;NDEBUG;_CONSOLE;NOMINMAX;_USE_MATH_DEFINES;%(PreprocessorDefinitions) + true + + + Console + true + true + true + + + + + Level3 + true + _DEBUG;_CONSOLE;NOMINMAX;_USE_MATH_DEFINES;%(PreprocessorDefinitions) + true + $(ProjectDir)..\vcpkg_installed\x64-windows\include;%(AdditionalIncludeDirectories) + + + Console + true + %(AdditionalDependencies) + + + + + Level3 + true + true + true + NDEBUG;_CONSOLE;NOMINMAX;_USE_MATH_DEFINES;%(PreprocessorDefinitions) + true + $(ProjectDir)..\vcpkg_installed\x64-windows\include;%(AdditionalIncludeDirectories) + + + Console + true + true + true + %(AdditionalDependencies) + + + + + {051fd94b-d4fc-4bda-9af4-9551628a6952} + + + + + + + + + + + + + \ No newline at end of file diff --git a/Cell2Fire/makefile b/Cell2Fire/makefile index ec5d4911..57e80eb4 100644 --- a/Cell2Fire/makefile +++ b/Cell2Fire/makefile @@ -1,60 +1,282 @@ -# Compiler -CXX = g++ -# bookworm:12, trixie:14, ubuntu24.04:13 - -# Compiler and linker flags -CXXFLAGS = -m64 -fPIC -fno-strict-aliasing -fexceptions -fopenmp -DNDEBUG -DIL_STD -std=c++14 -O3 -LDFLAGS = -m64 -fPIC -fno-strict-aliasing -fexceptions -fopenmp -DNDEBUG -DIL_STD -lm -lpthread -ltiff - -# Test-specific linker flags (for Catch2 v3 - optional, will be ignored if not available) -# Detect Catch2 version from package (for info only) -CATCH2_PKG_VERSION := $(shell dpkg-query -W -f='$${Version}' catch2 2>/dev/null || dpkg-query -W -f='$${Version}' libcatch2-dev 2>/dev/null || echo "unknown") -# Auto-detect if Catch2 v3 libraries are available by trying to link -CATCH2_V3_LIBS := $(shell echo "int main(){}" | $(CXX) -x c++ - -lCatch2Main -lCatch2 -o /dev/null 2>/dev/null && echo "-lCatch2Main -lCatch2" || echo "") -TEST_LDFLAGS = $(LDFLAGS) $(CATCH2_V3_LIBS) +# ============================================================================= +# Cell2Fire-W — makefile portable (Linux + macOS + Windows) +# +# Linux : make +# macOS : make OMP=libomp (default: clang de Apple + libomp de brew) +# make OMP=gcc (alternativa: g++ de Homebrew) +# make OMP=none (sin paralelismo) +# Windows : make (dentro de la shell MINGW64 de MSYS2) +# make SHARED=1 (enlace dinamico; requiere DLLs en PATH) +# Cross : make CROSS=win64 (compilar el .exe desde Linux) +# +# Extra : make fat-binary copia el binario con el nombre que espera FAT +# make fat-name solo imprime ese nombre +# make info muestra la configuracion detectada +# +# Dependencias +# Linux : apt install libtiff-dev libboost-all-dev +# macOS : brew install libtiff boost libomp (o gcc en vez de libomp) +# Windows: en la shell MSYS2 MINGW64: +# pacman -S --needed make mingw-w64-x86_64-gcc \ +# mingw-w64-x86_64-libtiff mingw-w64-x86_64-boost +# Cross : apt install g++-mingw-w64-x86-64 (+ libtiff/boost para mingw) +# ============================================================================= -# Source files -SRCS = Cell2Fire.cpp Cells.cpp FuelModelUtils.cpp FuelModelSpain.cpp FuelModelPortugal.cpp FuelModelKitral.cpp FuelModelFBP.cpp Spotting.cpp ReadCSV.cpp ReadArgs.cpp Lightning.cpp WriteCSV.cpp DataGenerator.cpp +UNAME_S := $(shell uname -s) -# Object files -OBJS = $(SRCS:.cpp=.o) +# MSYS2/MinGW/Cygwin reportan MINGW64_NT-..., MSYS_NT-..., CYGWIN_NT-... +ifneq (,$(findstring MINGW,$(UNAME_S))) + WINDOWS = 1 +endif +ifneq (,$(findstring MSYS,$(UNAME_S))) + WINDOWS = 1 +endif +ifneq (,$(findstring CYGWIN,$(UNAME_S))) + WINDOWS = 1 +endif +ifeq ($(CROSS),win64) + WINDOWS = 1 + CROSSING = 1 +endif -# Target executable -TARGET = Cell2Fire +# ---------- Fuentes ---------- +SRCS = Cell2Fire.cpp Cells.cpp FuelModelUtils.cpp ScottAndBurganKernel.cpp \ + KitralKernel.cpp CanadianFBPKernel.cpp Spotting.cpp ReadCSV.cpp \ + ReadArgs.cpp Lightning.cpp WriteCSV.cpp DataGenerator.cpp +OBJS = $(SRCS:.cpp=.o) TEST_TARGET = test_cell2fire +TEST_DIR = ../test/unit_tests +TEST_FILES = $(TEST_DIR)/*.cpp KitralKernel.cpp FuelModelUtils.cpp + +# ---------- Version ---------- +# Se deriva del tag de git si existe; si no, cae al default. Se puede forzar: +# make VERSION=v2.0.1 +VERSION ?= $(shell git describe --tags --dirty 2>/dev/null || echo v2.0.0) + +# ---------- Flags comunes ---------- +# _USE_MATH_DEFINES: sin esto M_PI no existe en MinGW ni MSVC (no es estandar C++) +COMMON = -fno-strict-aliasing -fexceptions -DNDEBUG -DIL_STD -D_USE_MATH_DEFINES -std=c++14 \ + -DC2FW_VERSION_STR='"$(VERSION)"' + +# ============================================================================= +# Windows (MSYS2/MinGW nativo, o cross desde Linux) +# ============================================================================= +ifdef WINDOWS + TARGET = Cell2Fire.exe + + ifdef CROSSING + CXX = x86_64-w64-mingw32-g++ + # Raiz del sysroot mingw. NO usamos el pkg-config del host: devolveria rutas + # de Linux (/usr/include/...) y los headers de glibc envenenan el build + # cruzado con errores confusos. Apunta MINGW_ROOT a un prefijo que tenga + # los headers/libs de libtiff y boost compilados para Windows. + MINGW_ROOT ?= /usr/x86_64-w64-mingw32 + else + CXX = g++ + endif + + ARCHFLAG = + OMPC = -fopenmp + OMPL = -fopenmp + + # -fPIC no aplica en Windows (todo es relocatable); gcc emite un warning. + PICFLAG = + + # Enlace ESTATICO por defecto, a proposito: un .exe dinamico de MinGW necesita + # libstdc++-6.dll, libgomp-1.dll, libwinpthread-1.dll, libtiff-*.dll y las + # dependencias de libtiff (zlib, jpeg, lzma, zstd, webp...) en el PATH. QGIS + # no tiene el PATH de MSYS2, asi que un .exe dinamico falla al arrancar dentro + # del plugin con un error de DLL faltante poco informativo. + ifdef SHARED + STATICFLAGS = + TIFFLIBS = -ltiff + else + STATICFLAGS = -static -static-libgcc -static-libstdc++ + # pkg-config resuelve las dependencias transitivas de libtiff, que en + # estatico son varias y varian segun el build de MSYS2. + ifdef CROSSING + TIFFLIBS = + else + TIFFLIBS := $(shell pkg-config --static --libs libtiff-4 2>/dev/null) + endif + ifeq ($(TIFFLIBS),) + # Respaldo si pkg-config no esta disponible. En enlace estatico el ORDEN + # importa: cada dependencia va DESPUES de quien la usa. libtiff necesita + # jbig (codec JBIG) y libwebp necesita sharpyuv; omitirlas da errores + # "undefined reference to jbg_*" y "SharpYuv*". + # Lo correcto es instalar pkgconf: pacman -S mingw-w64-x86_64-pkgconf + # Lista tomada de makefile.static de upstream (probada). Ojo: -lLerc con + # mayuscula; en Linux el nombre es sensible a mayusculas. + TIFFLIBS = -ltiff -ljpeg -ljbig -llzma -lzstd -lwebp -ldeflate -lz -lLerc -lsharpyuv + $(warning pkg-config no resolvio libtiff: usando lista de respaldo, puede estar incompleta.) + $(warning Instala pkgconf para obtener la lista real: pacman -S mingw-w64-x86_64-pkgconf) + endif + endif + + ifdef CROSSING + INCS = -I$(MINGW_ROOT)/include + LIBS = -L$(MINGW_ROOT)/lib $(TIFFLIBS) -lm + else + # MSYS2 nativo: aqui pkg-config SI es el de mingw, asi que es correcto + INCS = $(shell pkg-config --cflags libtiff-4 2>/dev/null) + LIBS = $(TIFFLIBS) -lm + endif +endif + +# ============================================================================= +# Linux +# ============================================================================= +ifeq ($(UNAME_S),Linux) +ifndef WINDOWS + TARGET = Cell2Fire + CXX ?= g++ + ARCHFLAG = -m64 + PICFLAG = -fPIC + OMPC = -fopenmp + OMPL = -fopenmp + INCS = + LIBS = -lm -lpthread -ltiff + STATICFLAGS = +endif +endif + +# ============================================================================= +# macOS +# ============================================================================= +ifeq ($(UNAME_S),Darwin) + TARGET = Cell2Fire + BREW := $(shell brew --prefix 2>/dev/null || echo /opt/homebrew) + + # SDK de macOS. Imprescindible si el compilador es el LLVM de Homebrew, que trae + # su propio libc++ pero no sabe donde esta el SDK -> cascada de errores tipo + # "unknown type name 'ldiv_t'", "mbstate_t without ", "FP_NAN undeclared". + SDKPATH := $(shell xcrun --show-sdk-path 2>/dev/null) + SYSROOT = $(if $(SDKPATH),-isysroot $(SDKPATH),) + + ARCHFLAG = + PICFLAG = -fPIC + STATICFLAGS = + + INCS = $(SYSROOT) -I$(BREW)/include -I$(BREW)/opt/libtiff/include + LIBS = $(SYSROOT) -lm -lpthread -ltiff -L$(BREW)/lib -L$(BREW)/opt/libtiff/lib + + OMP ?= libomp -# Test source files -TEST_DIR = ../test/unit_tests -TEST_FILES = $(TEST_DIR)/*.cpp FuelModelKitral.cpp FuelModelUtils.cpp + ifeq ($(OMP),libomp) + # Ruta ABSOLUTA a proposito: si en PATH viene primero el clang++ del LLVM de + # Homebrew (/usr/local/opt/llvm/bin) o el de conda, la compilacion falla. + CXX = /usr/bin/clang++ + OMPC = -Xpreprocessor -fopenmp -I$(BREW)/opt/libomp/include + OMPL = -lomp -L$(BREW)/opt/libomp/lib + endif -# Build rules + ifeq ($(OMP),gcc) + GCC_BIN := $(shell ls $(BREW)/bin/g++-1[0-9] 2>/dev/null | sort -V | tail -1) + ifeq ($(GCC_BIN),) + $(warning No encontre g++-1X en $(BREW)/bin. Instala con: brew install gcc) + $(warning OJO: el g++ del sistema en macOS es un alias de clang y NO acepta -fopenmp.) + CXX = g++ + else + CXX = $(GCC_BIN) + endif + OMPC = -fopenmp + OMPL = -fopenmp + endif + + ifeq ($(OMP),none) + CXX = /usr/bin/clang++ + OMPC = + OMPL = + endif +endif + +# ---------- Ensamblado final ---------- +CXXFLAGS = $(ARCHFLAG) $(PICFLAG) $(COMMON) $(OMPC) $(INCS) -O3 +LDFLAGS = $(ARCHFLAG) $(PICFLAG) $(COMMON) $(STATICFLAGS) $(OMPL) $(LIBS) + +# Deteccion de Catch2 v3. Se enlaza a un archivo temporal y no a /dev/null: en MSYS2 el +# enlazador de Windows no puede escribir ahi y aborta con "final link failed: file +# truncated", lo que daba un falso negativo y hacia enlazar los tests SIN Catch2 -- +# cientos de referencias no resueltas y un "undefined reference to WinMain" al final. +CATCH2_PROBE := $(shell mktemp -u).probe +CATCH2_V3_LIBS := $(shell echo "int main(){}" | $(CXX) -x c++ - $(CXXFLAGS) -lCatch2Main -lCatch2 -o $(CATCH2_PROBE) 2>/dev/null && echo "-lCatch2Main -lCatch2" || echo ""; rm -f $(CATCH2_PROBE) $(CATCH2_PROBE).exe) +TEST_LDFLAGS = $(LDFLAGS) $(CATCH2_V3_LIBS) + +# ============================================================================= +# Reglas +# ============================================================================= all: $(TARGET) $(TARGET): $(OBJS) $(CXX) -o $(TARGET) $(OBJS) $(LDFLAGS) +%.o: %.cpp + $(CXX) $(CXXFLAGS) -c $< -o $@ + tests: $(TEST_TARGET) ./$(TEST_TARGET) -# Automatically uses Catch2 v3 libs if available, otherwise header-only v2 $(TEST_TARGET): $(TEST_FILES) $(SRCS) $(CXX) $(CXXFLAGS) -o $(TEST_TARGET) $(TEST_FILES) $(TEST_LDFLAGS) -%.o: %.cpp - $(CXX) $(CXXFLAGS) -c $< -o $@ - clean: - rm -f $(OBJS) $(TARGET) $(TEST_TARGET) + rm -f $(OBJS) Cell2Fire Cell2Fire.exe $(TEST_TARGET) + +# ----------------------------------------------------------------------------- +# Nombre del binario para el plugin FAT (replica get_ext()) +# +# Windows : Cell2Fire.exe (sin sufijo de plataforma) +# Linux : Cell2Fire... +# macOS : Cell2Fire_Darwin.macOS-.-static +# ojo: empieza con "_", en arm64 la version se FUERZA a 14, en Intel +# `arch` da i386 y la version se recorta a 12-13, y el "-static" es +# obligatorio (el fallback que lo quitaria esta detras de un +# which("otool -L") que siempre da None, o sea nunca corre). +# ----------------------------------------------------------------------------- +fat-name: +ifdef WINDOWS + @echo "Cell2Fire.exe" +else + @if [ "$(UNAME_S)" = "Darwin" ]; then \ + ARCH=$$(arch); \ + MAJ=$$(sw_vers -productVersion | cut -d. -f1); \ + if [ "$$ARCH" = "arm64" ]; then MAJ=14; fi; \ + if [ "$$ARCH" = "i386" ] && [ "$$MAJ" -gt 13 ]; then MAJ=13; fi; \ + if [ "$$ARCH" = "i386" ] && [ "$$MAJ" -lt 12 ]; then MAJ=12; fi; \ + echo "Cell2Fire_$$(uname -s).$$(sw_vers -productName)-$$MAJ.$$ARCH-static"; \ + else \ + echo "Cell2Fire.$$(lsb_release --short --id).$$(lsb_release --short --codename).$$(uname --machine)"; \ + fi +endif + +fat-binary: $(TARGET) + @NAME=$$($(MAKE) --no-print-directory fat-name); \ + if [ "$(TARGET)" != "$$NAME" ]; then cp $(TARGET) "$$NAME"; chmod +x "$$NAME"; fi; \ + echo "-> $$NAME"; \ + echo " copialo a /simulator/C2F/Cell2Fire/" -# Show build configuration info: - @echo "Compiler: $(CXX)" - @echo "Catch2 Package Version: $(CATCH2_PKG_VERSION)" - @echo "Catch2 v3 Libraries: $(if $(CATCH2_V3_LIBS),YES ($(CATCH2_V3_LIBS)),NO (header-only v2))" - @echo "Test LDFLAGS: $(TEST_LDFLAGS)" + @echo "VERSION : $(VERSION)" + @echo "OS : $(UNAME_S)$(if $(WINDOWS), (Windows),)$(if $(CROSSING), [cross],)" + @echo "CXX : $(CXX)" + @echo "TARGET : $(TARGET)" +ifeq ($(UNAME_S),Darwin) + @echo "OMP variant : $(OMP)" + @echo "brew prefix : $(BREW)" + @echo "macOS SDK : $(if $(SDKPATH),$(SDKPATH),NO DETECTADO -- xcode-select --install)" +endif +ifdef WINDOWS + @echo "link : $(if $(SHARED),dinamico (necesita DLLs en PATH),estatico)" + @echo "libtiff libs : $(TIFFLIBS)" +endif + @echo "CXXFLAGS : $(CXXFLAGS)" + @echo "LDFLAGS : $(LDFLAGS)" + @printf "FAT binary : "; $(MAKE) --no-print-directory fat-name DESTDIR = /usr/local/bin install: all - cp $(TARGETS) $(DESTDIR) -uninstall: all - rm $(DESTDIR)/$(TARGETS) + cp $(TARGET) $(DESTDIR) +uninstall: + rm -f $(DESTDIR)/$(TARGET) + +.PHONY: all tests clean info install uninstall fat-name fat-binary diff --git a/Cell2Fire/makefile.khipu b/Cell2Fire/makefile.khipu index 27ab5a7f..f039ca72 100644 --- a/Cell2Fire/makefile.khipu +++ b/Cell2Fire/makefile.khipu @@ -5,13 +5,13 @@ CFLAGS = -std=c++14 -O3 -fopenmp LIBS = -m64 -fPIC -fno-strict-aliasing -fexceptions -fopenmp -DNDEBUG -DIL_STD -lm -lpthread -ldl TARGETS = Cell2Fire all: $(TARGETS) -Cell2Fire: Cell2Fire.o Cells.o FuelModelUtils.o FuelModelSpain.o FuelModelKitral.o FuelModelFBP.o FuelModelPortugal.o Spotting.o ReadCSV.o ReadArgs.o Lightning.o WriteCSV.o DataGenerator.o - $(CC) -o $@ $(LIBS) Cell2Fire.o Cells.o FuelModelUtils.o FuelModelSpain.o FuelModelKitral.o FuelModelFBP.o FuelModelPortugal.o Spotting.o ReadCSV.o ReadArgs.o Lightning.o WriteCSV.o DataGenerator.o -Cell2Fire.o: Cell2Fire.cpp Cells.o FuelModelUtils.o FuelModelSpain.o FuelModelKitral.o FuelModelFBP.o FuelModelPortugal.o Spotting.o ReadCSV.o ReadArgs.o WriteCSV.o DataGenerator.o +Cell2Fire: Cell2Fire.o Cells.o FuelModelUtils.o ScottAndBurganKernel.o KitralKernel.o CanadianFBPKernel.o FuelModelPortugal.o Spotting.o ReadCSV.o ReadArgs.o Lightning.o WriteCSV.o DataGenerator.o + $(CC) -o $@ $(LIBS) Cell2Fire.o Cells.o FuelModelUtils.o ScottAndBurganKernel.o KitralKernel.o CanadianFBPKernel.o FuelModelPortugal.o Spotting.o ReadCSV.o ReadArgs.o Lightning.o WriteCSV.o DataGenerator.o +Cell2Fire.o: Cell2Fire.cpp Cells.o FuelModelUtils.o ScottAndBurganKernel.o KitralKernel.o CanadianFBPKernel.o FuelModelPortugal.o Spotting.o ReadCSV.o ReadArgs.o WriteCSV.o DataGenerator.o $(CC) -c $(CFLAGS) Cell2Fire.cpp Spotting.o: Spotting.cpp Spotting.h Cells.h $(CC) -c $(CFLAGS) Spotting.cpp -Cells.o: Cells.cpp Cells.h FuelModelUtils.o FuelModelSpain.o FuelModelKitral.o FuelModelFBP.o FuelModelPortugal.o +Cells.o: Cells.cpp Cells.h FuelModelUtils.o ScottAndBurganKernel.o KitralKernel.o CanadianFBPKernel.o FuelModelPortugal.o $(CC) -c $(CFLAGS) Cells.cpp ReadCSV.o: ReadCSV.cpp ReadCSV.h $(CC) -c $(CFLAGS) ReadCSV.cpp @@ -25,18 +25,18 @@ WriteCSV.o: WriteCSV.cpp WriteCSV.h $(CC) -c $(CFLAGS) WriteCSV.cpp FuelModelUtils.o: FuelModelUtils.cpp FuelModelUtils.h Cells.h $(CC) -c $(LIBS) $(CFLAGS) FuelModelUtils.cpp -FuelModelSpain.o: FuelModelSpain.cpp FuelModelSpain.h FuelModelUtils.h Cells.h - $(CC) -c $(LIBS) $(CFLAGS) FuelModelSpain.cpp -FuelModelKitral.o: FuelModelKitral.cpp FuelModelUtils.h FuelModelKitral.h Cells.h - $(CC) -c $(LIBS) $(CFLAGS) FuelModelKitral.cpp -FuelModelFBP.o: FuelModelFBP.cpp FuelModelFBP.h Cells.h - $(CC) -c $(LIBS) $(CFLAGS) FuelModelFBP.cpp +ScottAndBurganKernel.o: ScottAndBurganKernel.cpp ScottAndBurganKernel.h FuelModelUtils.h Cells.h + $(CC) -c $(LIBS) $(CFLAGS) ScottAndBurganKernel.cpp +KitralKernel.o: KitralKernel.cpp FuelModelUtils.h KitralKernel.h Cells.h + $(CC) -c $(LIBS) $(CFLAGS) KitralKernel.cpp +CanadianFBPKernel.o: CanadianFBPKernel.cpp CanadianFBPKernel.h Cells.h + $(CC) -c $(LIBS) $(CFLAGS) CanadianFBPKernel.cpp FuelModelPortugal.o: FuelModelPortugal.cpp FuelModelUtils.h FuelModelPortugal.h Cells.h $(CC) -c $(LIBS) $(CFLAGS) FuelModelPortugal.cpp DataGenerator.o: DataGenerator.cpp DataGenerator.h $(CC) -c $(LIBS) $(CFLAGS) DataGenerator.cpp clean: - rm -f Lightning.o ReadArgs.o ReadCSV.o Cell2Fire.o Cells.o Cell2Fire Spotting.o WriteCSV.o FuelModelFBP.o FuelModelKitral.o FuelModelSpain.o FuelModelPortugal.o FuelModelUtils.o DataGenerator.o *.gch + rm -f Lightning.o ReadArgs.o ReadCSV.o Cell2Fire.o Cells.o Cell2Fire Spotting.o WriteCSV.o CanadianFBPKernel.o KitralKernel.o ScottAndBurganKernel.o FuelModelPortugal.o FuelModelUtils.o DataGenerator.o *.gch DESTDIR = ~/bin install: all diff --git a/Cell2Fire/makefile.macos b/Cell2Fire/makefile.macos index 742fc152..f4c51a2c 100644 --- a/Cell2Fire/makefile.macos +++ b/Cell2Fire/makefile.macos @@ -27,7 +27,7 @@ CATCH2_V3_LIBS := $(shell [ $(CATCH2_VERSION) -gt 2 ] && echo "-L$(CATCH2_PREFIX TEST_LDFLAGS = $(LDFLAGS) $(CATCH2_V3_LIBS) # Source files -SRCS = Cell2Fire.cpp Cells.cpp FuelModelUtils.cpp FuelModelSpain.cpp FuelModelPortugal.cpp FuelModelKitral.cpp FuelModelFBP.cpp Spotting.cpp ReadCSV.cpp ReadArgs.cpp Lightning.cpp WriteCSV.cpp DataGenerator.cpp +SRCS = Cell2Fire.cpp Cells.cpp FuelModelUtils.cpp ScottAndBurganKernel.cpp FuelModelPortugal.cpp KitralKernel.cpp CanadianFBPKernel.cpp Spotting.cpp ReadCSV.cpp ReadArgs.cpp Lightning.cpp WriteCSV.cpp DataGenerator.cpp # Object files OBJS = $(SRCS:.cpp=.o) @@ -38,7 +38,7 @@ TEST_TARGET = test_cell2fire # Test source files TEST_DIR = ../test/unit_tests -TEST_FILES = $(TEST_DIR)/*.cpp FuelModelKitral.cpp FuelModelUtils.cpp +TEST_FILES = $(TEST_DIR)/*.cpp KitralKernel.cpp FuelModelUtils.cpp # Build rules all: $(TARGET) diff --git a/Cell2Fire/makefile.macos-static b/Cell2Fire/makefile.macos-static index ecdff9b7..34e99409 100644 --- a/Cell2Fire/makefile.macos-static +++ b/Cell2Fire/makefile.macos-static @@ -19,7 +19,7 @@ LDFLAGS = -m64 -fPIC -fno-strict-aliasing -fexceptions -fopenmp -DNDEBUG -DIL_ST $(OPT)/zlib/lib/libz.a # Source files -SRCS = Cell2Fire.cpp Cells.cpp FuelModelUtils.cpp FuelModelSpain.cpp FuelModelKitral.cpp FuelModelFBP.cpp FuelModelPortugal.cpp Spotting.cpp ReadCSV.cpp ReadArgs.cpp Lightning.cpp WriteCSV.cpp DataGenerator.cpp +SRCS = Cell2Fire.cpp Cells.cpp FuelModelUtils.cpp ScottAndBurganKernel.cpp KitralKernel.cpp CanadianFBPKernel.cpp FuelModelPortugal.cpp Spotting.cpp ReadCSV.cpp ReadArgs.cpp Lightning.cpp WriteCSV.cpp DataGenerator.cpp # Object files OBJS = $(SRCS:.cpp=.o) diff --git a/Cell2Fire/makefile.static b/Cell2Fire/makefile.static index 1e676d4e..64a90c89 100644 --- a/Cell2Fire/makefile.static +++ b/Cell2Fire/makefile.static @@ -6,7 +6,7 @@ CXXFLAGS = -m64 -fPIC -fno-strict-aliasing -fexceptions -fopenmp -DNDEBUG -DIL_S LDFLAGS = -m64 -fPIC -fno-strict-aliasing -fexceptions -fopenmp -DNDEBUG -DIL_STD -static -static-libgcc -static-libstdc++ -lm -lpthread -ltiff -ljpeg -ljbig -llzma -lzstd -lwebp -ldeflate -lz -lLerc -lsharpyuv -Wl,--no-warn-search-mismatch # Source files -SRCS = Cell2Fire.cpp Cells.cpp FuelModelUtils.cpp FuelModelSpain.cpp FuelModelKitral.cpp FuelModelFBP.cpp FuelModelPortugal.cpp Spotting.cpp ReadCSV.cpp ReadArgs.cpp Lightning.cpp WriteCSV.cpp DataGenerator.cpp +SRCS = Cell2Fire.cpp Cells.cpp FuelModelUtils.cpp ScottAndBurganKernel.cpp KitralKernel.cpp CanadianFBPKernel.cpp FuelModelPortugal.cpp Spotting.cpp ReadCSV.cpp ReadArgs.cpp Lightning.cpp WriteCSV.cpp DataGenerator.cpp # Object files OBJS = $(SRCS:.cpp=.o) diff --git a/data/Kitral/Portillo-rio-asc/Incendio_real/FireScar_CL-BI_IDnull_u330_20210124.dbf b/data/Kitral/Portillo-rio-asc/Incendio_real/FireScar_CL-BI_IDnull_u330_20210124.dbf new file mode 100644 index 00000000..b508ed8d Binary files /dev/null and b/data/Kitral/Portillo-rio-asc/Incendio_real/FireScar_CL-BI_IDnull_u330_20210124.dbf differ diff --git a/data/Kitral/Portillo-rio-asc/Incendio_real/FireScar_CL-BI_IDnull_u330_20210124.prj b/data/Kitral/Portillo-rio-asc/Incendio_real/FireScar_CL-BI_IDnull_u330_20210124.prj new file mode 100644 index 00000000..60bfa862 --- /dev/null +++ b/data/Kitral/Portillo-rio-asc/Incendio_real/FireScar_CL-BI_IDnull_u330_20210124.prj @@ -0,0 +1 @@ +GEOGCS["WGS 84", DATUM["World Geodetic System 1984", SPHEROID["WGS 84", 6378137.0, 298.257223563, AUTHORITY["EPSG","7030"]], AUTHORITY["EPSG","6326"]], PRIMEM["Greenwich", 0.0, AUTHORITY["EPSG","8901"]], UNIT["degree", 0.017453292519943295], AXIS["Geodetic longitude", EAST], AXIS["Geodetic latitude", NORTH], AUTHORITY["EPSG","4326"]] \ No newline at end of file diff --git a/data/Kitral/Portillo-rio-asc/Incendio_real/FireScar_CL-BI_IDnull_u330_20210124.shp b/data/Kitral/Portillo-rio-asc/Incendio_real/FireScar_CL-BI_IDnull_u330_20210124.shp new file mode 100644 index 00000000..c3845b7c Binary files /dev/null and b/data/Kitral/Portillo-rio-asc/Incendio_real/FireScar_CL-BI_IDnull_u330_20210124.shp differ diff --git a/data/Kitral/Portillo-rio-asc/Incendio_real/FireScar_CL-BI_IDnull_u330_20210124.shx b/data/Kitral/Portillo-rio-asc/Incendio_real/FireScar_CL-BI_IDnull_u330_20210124.shx new file mode 100644 index 00000000..9fcc9ef4 Binary files /dev/null and b/data/Kitral/Portillo-rio-asc/Incendio_real/FireScar_CL-BI_IDnull_u330_20210124.shx differ diff --git a/data/Kitral/Portillo-rio-asc/Incendio_real/FireScar_UTM19S.dbf b/data/Kitral/Portillo-rio-asc/Incendio_real/FireScar_UTM19S.dbf new file mode 100644 index 00000000..72655e85 Binary files /dev/null and b/data/Kitral/Portillo-rio-asc/Incendio_real/FireScar_UTM19S.dbf differ diff --git a/data/Kitral/Portillo-rio-asc/Incendio_real/FireScar_UTM19S.prj b/data/Kitral/Portillo-rio-asc/Incendio_real/FireScar_UTM19S.prj new file mode 100644 index 00000000..cbe99212 --- /dev/null +++ b/data/Kitral/Portillo-rio-asc/Incendio_real/FireScar_UTM19S.prj @@ -0,0 +1 @@ +PROJCS["WGS_1984_UTM_Zone_19S",GEOGCS["GCS_WGS_1984",DATUM["D_WGS_1984",SPHEROID["WGS_1984",6378137.0,298.257223563]],PRIMEM["Greenwich",0.0],UNIT["Degree",0.0174532925199433]],PROJECTION["Transverse_Mercator"],PARAMETER["False_Easting",500000.0],PARAMETER["False_Northing",10000000.0],PARAMETER["Central_Meridian",-69.0],PARAMETER["Scale_Factor",0.9996],PARAMETER["Latitude_Of_Origin",0.0],UNIT["Meter",1.0]] \ No newline at end of file diff --git a/data/Kitral/Portillo-rio-asc/Incendio_real/FireScar_UTM19S.shp b/data/Kitral/Portillo-rio-asc/Incendio_real/FireScar_UTM19S.shp new file mode 100644 index 00000000..9cf3f6eb Binary files /dev/null and b/data/Kitral/Portillo-rio-asc/Incendio_real/FireScar_UTM19S.shp differ diff --git a/data/Kitral/Portillo-rio-asc/Incendio_real/FireScar_UTM19S.shx b/data/Kitral/Portillo-rio-asc/Incendio_real/FireScar_UTM19S.shx new file mode 100644 index 00000000..56771ced Binary files /dev/null and b/data/Kitral/Portillo-rio-asc/Incendio_real/FireScar_UTM19S.shx differ diff --git a/data/Kitral/Portillo-rio-asc/README.md b/data/Kitral/Portillo-rio-asc/README.md new file mode 100644 index 00000000..49b9d14b --- /dev/null +++ b/data/Kitral/Portillo-rio-asc/README.md @@ -0,0 +1,113 @@ +# Portillo (Chile) — instancia KITRAL con río vectorial y cicatriz observada + +Incendio **EL PORTILLO**, comuna de San Fernando, provincia de Colchagua, Región de +O'Higgins. Ignición **27-01-2021 14:52**, controlado **31-01-2021 17:40**, **866 ha**. + +Extiende `data/Kitral/Portillo-asc` con topografía derivada, el río como capa vectorial +y la cicatriz observada, de modo que sirva como caso de validación y no sólo de demo. + +## Extensión y CRS + +Rasters en **EPSG:32719** (WGS84 / UTM 19S), 500×500 celdas de 30 m, +X[335984, 350984] Y[6142449, 6157449]. Los `.prj` heredados rotulan "WGS 84" pero las +coordenadas son UTM 19S; es un etiquetado impreciso del origen, no un error del dato. + +## Correr + +Ignición observada, río como barrera, clima de las 8 h posteriores a la ignición: + + Cell2Fire --input-instance-folder Portillo-rio-asc/ --output-folder OUT/ \ + --sim K --lb-mode sb --nsims 1 --nweathers 1 \ + --Fire-Period-Length 5.0 --Weather-Period-Length 60 --max-fire-periods 200 \ + --ignition-shp Portillo-rio-asc/ignicion_1.shp \ + --rivers --breach-factor 2 --final-grid --seed 1 + +`--rivers` carga `Rivers/*.shp`. Sin `--breach-factor` el río detiene el fuego. + +## Capas + +| archivo | origen | +|---|---| +| `fuels.asc` | KITRAL. **Modificado**, ver abajo | +| `fuels_original.asc` | el original sin modificar, para trazabilidad | +| `elevation.asc`, `cbd/cbh/ccf/hm.asc` | de la instancia original | +| `slope.asc`, `saz.asc` | derivados de `elevation.asc` por el método de Horn (pendiente en %, azimut aguas arriba). No venían en el original y KITRAL los necesita para usar la topografía | +| `Rivers/rio_claro.shp` | Río Claro, polígono de ancho variable. Ver abajo | +| `rio_claro_eje.shp` | el eje del que deriva el polígono, tal cual viene de la fuente | +| `ignicion_1.shp` | ignición observada, 14:52 | +| `ignicion_2.gpkg` | segundo foco observado, 3 h después, al oriente del río | +| `Incendio_real/FireScar_UTM19S.shp` | cicatriz observada, reproyectada a UTM 19S | +| `Incendio_real/FireScar_CL-BI_...shp` | la misma en EPSG:4326, como se recibió | + +### El río + +Geometría del **Río Claro** tomada de la Red Hidrográfica de Chile de **IDE Chile** +(escala 1:25.000, licencia CC-BY), recortada a la ventana y reproyectada de Web Mercator +a UTM 19S. Es el único cauce que separa las dos igniciones observadas: cruza la recta que +las une y pasa a 120 m de la segunda. + +El polígono se generó por buffer del eje con **ancho variable de 30 m aguas abajo (norte) +a 10 m en cabeceras (sur)**, siguiendo el rango de anchos reportado en terreno y el hecho +de que el Río Claro fluye al noroeste. + +### La modificación de `fuels.asc` + +El raster original marcaba como no combustible una franja de mediana **90 m** a lo largo +del cauce. Esa franja es un artefacto de digitalización: sobredetermina el ancho real del +río entre 3 y 9 veces, y actúa como barrera aunque no se declare ninguna. + +Se devolvieron a combustible las **1733 celdas** no combustibles situadas a menos de 120 m +del eje, asignando a cada una el tipo mayoritario de su vecindario quemable (dominó el +tipo 7, con aportes de 21, 6 y 16). Quedan 12 941 celdas no combustibles legítimas de las +14 674 originales. + +Efecto: sin río declarado el fuego pasa de 10 410 a 15 313 celdas quemadas, confirmando +que la franja estaba actuando de barrera implícita. + +**El propósito es que la barrera sea explícita**: se declara con `--rivers` y su ancho es +el real, no el de la rasterización. + +### El clima + +- `Weather.csv` — 15:00 a 20:00, viento del NNW virando al N +- `Weather_rio.csv` — 19:00 a 22:00, viento del NNW sostenido +- `Weather_unido.csv` — las 4 h de `Weather.csv` (15:00–18:00) más las 4 de + `Weather_rio.csv` (19:00–22:00) + +Los dos archivos se solapan en 19:00 y 20:00 con vientos distintos. `Weather_unido.csv` +toma la versión de `Weather_rio.csv` para esas horas, asumiendo que corresponde a la fase +posterior al cruce del río. **Es una interpretación, no un dato.** + +## Validación contra la cicatriz observada + +Cicatriz observada: 9642 celdas, 868 ha. Simulando desde **una sola ignición** con +`Weather_unido.csv`: + +| configuración | ha | Jaccard | sensibilidad | precisión | +|---|---|---|---|---| +| `--lb-mode kitral` (default), sin río | 1383 | 0.370 | 0.70 | 0.44 | +| `--lb-mode sb`, sin río | 562 | 0.423 | 0.49 | 0.76 | +| `--lb-mode sb --rivers` | 407 | 0.391 | 0.41 | 0.88 | +| `--lb-mode sb --rivers --breach-factor 2` | 541 | 0.432 | 0.49 | 0.79 | +| idem, con 10 h de clima | 1074 | **0.522** | 0.77 | 0.62 | + +Tres cosas que conviene saber antes de usar esta instancia para calibrar: + +**El coeficiente largo/ancho domina el error de forma.** La formulación nativa de KITRAL +da L/B = 1.56 a 28 km/h, o sea un incendio casi circular, y sobrestima los flancos. Con +`--lb-mode sb` (Anderson) el área simulada cae de 1383 a 562 ha y la precisión sube de +0.44 a 0.76. + +**El perímetro observado equivale a unas 10 h de propagación libre**, no a los 4 días que +el incendio ardió. Con 16 h el modelo captura el 100 % de la cicatriz pero quema 3038 ha. +La diferencia la explica la supresión, que el simulador no modela. + +**Ninguna combinación de parámetros supera J ≈ 0.52.** Barrer `--fch-mode`, `--HFactor`, +`--breach-factor` o `--spot-factor` no mejora el ajuste. Calibrar más allá de eso sería +hacer que los parámetros absorban la ausencia de un modelo de supresión. + +## Atribución + +- Hidrografía: **IDE Chile**, Red Hidrográfica 1:25.000, licencia CC-BY. +- Cicatriz observada y rasters de combustible: ver la instancia original + `data/Kitral/Portillo-asc` y la fuente de la cicatriz (`FireScar_CL-BI_IDnull_u330`). diff --git a/data/Kitral/Portillo-rio-asc/Rivers/rio_claro.dbf b/data/Kitral/Portillo-rio-asc/Rivers/rio_claro.dbf new file mode 100644 index 00000000..5934f9d3 Binary files /dev/null and b/data/Kitral/Portillo-rio-asc/Rivers/rio_claro.dbf differ diff --git a/data/Kitral/Portillo-rio-asc/Rivers/rio_claro.prj b/data/Kitral/Portillo-rio-asc/Rivers/rio_claro.prj new file mode 100644 index 00000000..cbe99212 --- /dev/null +++ b/data/Kitral/Portillo-rio-asc/Rivers/rio_claro.prj @@ -0,0 +1 @@ +PROJCS["WGS_1984_UTM_Zone_19S",GEOGCS["GCS_WGS_1984",DATUM["D_WGS_1984",SPHEROID["WGS_1984",6378137.0,298.257223563]],PRIMEM["Greenwich",0.0],UNIT["Degree",0.0174532925199433]],PROJECTION["Transverse_Mercator"],PARAMETER["False_Easting",500000.0],PARAMETER["False_Northing",10000000.0],PARAMETER["Central_Meridian",-69.0],PARAMETER["Scale_Factor",0.9996],PARAMETER["Latitude_Of_Origin",0.0],UNIT["Meter",1.0]] \ No newline at end of file diff --git a/data/Kitral/Portillo-rio-asc/Rivers/rio_claro.shp b/data/Kitral/Portillo-rio-asc/Rivers/rio_claro.shp new file mode 100644 index 00000000..294a8a76 Binary files /dev/null and b/data/Kitral/Portillo-rio-asc/Rivers/rio_claro.shp differ diff --git a/data/Kitral/Portillo-rio-asc/Rivers/rio_claro.shx b/data/Kitral/Portillo-rio-asc/Rivers/rio_claro.shx new file mode 100644 index 00000000..6986e3d3 Binary files /dev/null and b/data/Kitral/Portillo-rio-asc/Rivers/rio_claro.shx differ diff --git a/data/Kitral/Portillo-rio-asc/Weather.csv b/data/Kitral/Portillo-rio-asc/Weather.csv new file mode 100644 index 00000000..0b7733fd --- /dev/null +++ b/data/Kitral/Portillo-rio-asc/Weather.csv @@ -0,0 +1,9 @@ +Instance,datetime,WS,WD,TMP,RH +p,27-01-2021 15:00,26.2,317.0,26.8,28.1 +p,27-01-2021 16:00,28.1,313.0,26.7,29.2 +p,27-01-2021 17:00,27.6,315.0,25.9,31.0 +p,27-01-2021 18:00,19.9,317.0,24.4,32.8 +p,27-01-2021 19:00,21.3,325.0,21.8,36.8 +p,27-01-2021 20:00,16.2,322.0,19.2,43.1 +p,27-01-2021 21:00,15.8,327,18.4,44.9 +p,27-01-2021 22:00,13.2,332.0,17.4,47.7 diff --git a/data/Kitral/Portillo-rio-asc/Weather_rio.csv b/data/Kitral/Portillo-rio-asc/Weather_rio.csv new file mode 100644 index 00000000..d1614a05 --- /dev/null +++ b/data/Kitral/Portillo-rio-asc/Weather_rio.csv @@ -0,0 +1,5 @@ +Instance,datetime,WS,WD,TMP,RH +p,27-01-2021 19:00,21.3,325.0,21.8,36.8 +p,27-01-2021 20:00,16.2,322.0,19.2,43.1 +p,27-01-2021 21:00,15.8,327,18.4,44.9 +p,27-01-2021 22:00,13.2,332.0,17.4,47.7 diff --git a/data/Kitral/Portillo-rio-asc/Weather_unido.csv b/data/Kitral/Portillo-rio-asc/Weather_unido.csv new file mode 100644 index 00000000..0b7733fd --- /dev/null +++ b/data/Kitral/Portillo-rio-asc/Weather_unido.csv @@ -0,0 +1,9 @@ +Instance,datetime,WS,WD,TMP,RH +p,27-01-2021 15:00,26.2,317.0,26.8,28.1 +p,27-01-2021 16:00,28.1,313.0,26.7,29.2 +p,27-01-2021 17:00,27.6,315.0,25.9,31.0 +p,27-01-2021 18:00,19.9,317.0,24.4,32.8 +p,27-01-2021 19:00,21.3,325.0,21.8,36.8 +p,27-01-2021 20:00,16.2,322.0,19.2,43.1 +p,27-01-2021 21:00,15.8,327,18.4,44.9 +p,27-01-2021 22:00,13.2,332.0,17.4,47.7 diff --git a/data/Kitral/Portillo-rio-asc/cbd.asc b/data/Kitral/Portillo-rio-asc/cbd.asc new file mode 100644 index 00000000..d9b2abb7 --- /dev/null +++ b/data/Kitral/Portillo-rio-asc/cbd.asc @@ -0,0 +1,506 @@ +ncols 500 +nrows 500 +xllcorner 335984.130199850013 +yllcorner 6142449.914540899917 +cellsize 30.000000000000 +NODATA_value nan +0.15000000596046447754 0.039999999105930328369 0.039999999105930328369 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 2 6 6 6 7 +7 7 7 7 7 7 16 16 16 16 16 16 16 16 16 6 6 6 16 16 16 16 16 16 16 16 16 7 7 7 7 7 7 7 7 7 7 7 7 7 16 16 16 16 16 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 16 16 16 16 16 16 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 12 12 nan nan nan nan nan nan nan nan 14 14 14 14 14 21 21 7 7 7 7 7 7 16 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 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nan nan nan nan nan nan 2 2 2 7 7 7 7 7 7 7 7 7 7 7 7 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 2 6 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 6 +16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 6 16 16 6 6 6 6 7 7 7 7 7 7 7 7 7 16 16 16 16 16 16 16 16 16 16 16 7 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 6 6 6 nan 6 nan nan nan 6 6 6 nan nan nan nan nan nan nan nan nan 21 21 21 21 21 21 21 21 21 7 7 7 7 7 7 7 7 7 7 7 7 7 nan 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 6 7 21 21 7 7 7 7 7 7 7 7 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 16 16 16 16 16 16 16 16 16 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21 21 21 21 21 21 21 7 7 21 21 21 21 21 7 7 7 7 7 7 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 16 16 16 16 16 16 16 16 16 16 16 16 16 7 7 16 7 7 7 16 16 16 16 16 16 16 16 16 16 16 16 7 16 16 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 2 2 7 7 7 7 7 7 7 7 7 7 16 16 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 2 2 2 2 2 2 2 2 6 6 6 6 6 6 6 +16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 2 7 7 7 7 7 7 7 7 7 7 16 7 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 6 6 +16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 6 6 16 16 16 6 7 7 6 6 7 7 7 7 7 7 7 7 7 7 16 16 16 16 16 16 16 16 16 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 16 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 6 6 6 6 7 6 6 nan 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 21 21 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan 21 21 21 21 21 21 21 21 6 6 6 6 6 7 7 7 21 21 21 21 21 21 21 21 21 7 7 7 7 7 7 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 7 16 16 7 7 7 16 16 16 16 16 16 16 16 16 16 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 2 7 7 7 7 7 7 7 7 7 7 16 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 2 6 6 6 6 +16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 7 7 6 6 6 7 6 7 7 7 7 7 16 16 16 7 7 16 16 16 16 16 16 16 16 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 6 6 7 6 6 6 nan 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 21 21 21 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan 21 21 21 21 21 21 21 6 6 6 7 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 7 7 7 7 7 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 16 16 16 16 16 16 16 16 16 16 16 16 16 16 7 16 16 16 7 7 7 16 16 16 16 16 16 16 16 16 16 16 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 7 7 7 7 7 7 7 7 7 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 +16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 7 6 6 6 6 6 7 7 7 7 16 16 7 7 7 16 16 16 16 16 16 16 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 16 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 21 21 21 21 21 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan 7 21 21 21 21 21 21 21 6 7 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 7 7 7 7 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 16 16 16 16 16 21 21 16 16 16 16 16 16 16 16 7 16 16 7 7 7 16 16 16 17 17 16 16 16 16 16 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 6 +16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 7 7 7 6 6 7 7 7 7 16 7 7 7 7 7 16 16 16 16 16 16 16 16 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 16 16 7 7 7 7 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 6 7 6 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 14 21 21 21 21 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan 7 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 7 7 7 7 7 7 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 16 16 16 21 21 21 21 21 21 21 21 21 16 16 16 16 16 16 16 16 17 17 17 17 17 16 16 16 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan nan 7 7 7 nan 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 +16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 7 6 6 7 7 6 7 7 7 7 7 7 7 16 16 16 16 16 16 16 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 6 6 7 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan 14 14 21 21 21 21 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan nan 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 7 7 7 7 7 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 16 16 16 16 16 17 17 17 17 17 17 17 17 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan 7 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 2 2 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 7 +16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 7 6 6 6 6 7 7 16 7 7 7 7 16 16 16 16 16 7 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 16 7 7 7 16 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan 14 14 14 14 21 21 21 21 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan nan 7 7 7 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 7 7 7 7 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 16 16 16 17 17 17 17 17 17 17 17 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 2 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 7 7 7 +16 7 7 7 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 7 7 7 6 7 7 7 16 7 7 16 16 16 16 16 16 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 nan nan 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan 14 14 14 14 21 21 21 21 7 7 7 7 16 16 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan nan 7 6 6 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 7 7 7 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 16 16 17 17 17 17 17 17 17 7 7 7 7 7 7 7 7 7 7 7 7 7 7 17 17 17 17 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 7 +16 16 7 7 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 7 7 16 7 16 7 7 7 7 7 7 7 7 7 7 16 16 16 16 16 7 7 7 7 7 7 7 7 7 7 7 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nan nan nan nan nan nan nan nan nan 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 +16 16 7 7 7 7 16 16 16 16 16 16 16 16 16 16 6 16 16 16 16 16 16 16 16 7 7 7 16 7 7 7 7 7 7 7 7 7 7 7 7 16 16 16 16 7 16 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 16 16 16 16 16 7 7 7 7 7 7 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan 14 14 21 21 21 21 21 7 7 7 7 16 16 16 16 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan 6 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 7 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 21 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3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 3 3 3 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3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 26 26 26 26 26 26 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 26 26 26 26 26 26 26 26 26 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 22 22 22 nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 26 26 26 26 26 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 3 26 26 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 26 26 26 26 26 26 26 3 26 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 22 22 22 22 22 22 nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 26 26 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 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nan 22 nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 3 3 3 26 26 26 26 26 26 26 3 3 26 26 26 26 26 26 26 3 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 22 nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 26 26 26 26 26 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 26 26 26 26 26 26 26 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 26 26 3 3 3 3 3 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 nan nan nan 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 26 26 3 26 26 26 26 26 3 3 3 26 26 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 26 3 3 3 26 26 26 26 3 3 26 26 26 26 26 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 26 26 26 26 26 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 26 26 26 3 26 26 3 3 3 3 3 3 3 26 26 26 26 26 26 3 3 3 3 26 26 26 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 nan 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 26 26 3 26 26 26 26 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 26 26 3 26 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 26 26 26 26 26 26 26 26 26 3 3 3 3 26 26 26 3 3 3 3 3 26 26 26 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 nan nan nan nan nan nan 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 3 26 3 26 3 3 3 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 26 3 3 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 3 3 5 5 3 5 5 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 5 3 5 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 3 3 3 3 3 3 3 3 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 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nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 26 26 26 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 3 22 22 22 3 3 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 3 3 3 nan nan nan 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 3 3 3 26 3 3 3 3 3 3 3 3 3 3 5 3 5 3 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 26 26 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan 3 nan nan nan nan nan 3 3 nan 3 nan nan nan nan 22 22 22 22 22 22 3 3 3 3 3 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan 22 22 22 nan 22 nan 22 22 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 nan nan nan nan nan nan nan 22 22 22 22 22 22 3 3 3 3 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan 22 nan nan 22 22 22 22 22 22 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 26 26 26 26 26 26 26 26 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan 22 22 nan 22 nan nan nan 22 22 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 3 26 26 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan 22 22 22 22 22 22 22 22 22 22 nan nan 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 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3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 22 22 22 22 22 22 22 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 22 nan 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 5 5 5 5 3 5 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 5 3 5 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 22 22 22 22 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 22 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 5 3 3 5 5 5 5 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 22 22 nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 26 26 26 26 26 26 26 26 26 3 26 26 26 26 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 nan nan nan nan nan nan nan nan nan nan nan 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 3 26 3 3 3 3 3 26 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 3 3 3 3 3 3 5 5 3 5 5 5 5 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 5 3 3 3 3 3 3 5 5 5 5 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan 22 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 26 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 26 26 26 26 3 3 3 3 3 3 5 5 3 3 5 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 5 3 5 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan 22 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 3 3 3 26 26 26 26 26 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 3 26 26 26 26 3 3 3 3 3 3 3 3 3 5 5 3 5 5 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 nan nan nan nan nan nan nan nan 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 3 3 3 26 26 26 26 26 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 3 3 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 3 26 26 26 3 3 26 3 3 3 26 26 26 26 3 3 3 26 26 26 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 3 3 26 3 3 26 26 26 26 3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 26 26 26 3 3 3 3 26 26 26 26 26 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 5 5 3 5 3 3 3 3 3 3 5 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 3 3 3 26 26 26 26 26 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 3 3 26 26 26 3 26 26 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 3 3 26 26 26 26 26 3 3 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 26 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 nan nan nan nan nan 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 3 26 26 26 3 3 26 26 26 26 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 26 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 26 26 26 26 3 3 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 5 5 5 3 3 3 3 3 3 5 5 5 5 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 3 3 26 26 3 3 3 26 26 26 3 3 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 26 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 26 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 3 5 5 3 3 5 5 5 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan 22 nan nan nan nan nan nan nan nan nan 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 3 3 26 3 3 3 26 26 3 3 3 3 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 26 26 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 3 3 3 5 3 5 5 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 22 22 nan nan nan nan nan nan 22 nan 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 26 26 3 3 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 26 26 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 26 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 3 26 26 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 5 5 5 3 5 5 5 5 5 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 22 22 22 nan nan nan nan nan 22 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 3 3 3 26 26 26 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 26 26 26 3 3 3 3 3 3 5 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 26 26 26 26 26 3 26 26 3 3 3 3 3 3 3 3 5 3 5 5 5 3 3 5 5 5 5 5 5 5 5 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 22 22 22 22 nan nan nan nan nan nan nan 22 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 26 26 26 26 3 3 3 3 26 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 5 5 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nan nan nan nan nan nan nan nan nan 22 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 26 3 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 26 26 3 3 3 26 26 3 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 5 5 5 5 5 5 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 nan nan 22 22 nan nan nan nan nan nan nan nan nan 22 22 22 22 nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 26 26 26 3 3 26 26 3 3 3 3 3 3 5 3 5 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 3 26 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 3 5 5 5 5 5 5 5 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 nan nan nan 22 22 22 nan nan nan nan nan nan nan 22 22 nan 22 22 nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 26 26 26 26 26 26 26 26 26 3 26 3 26 26 3 26 3 3 3 3 26 26 3 3 3 26 26 26 3 3 3 3 3 3 3 5 3 3 3 3 3 26 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 5 5 3 3 3 3 3 26 26 26 26 26 26 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 3 3 5 5 5 5 5 3 5 5 3 5 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan 22 nan nan 22 nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 26 26 26 26 26 26 3 26 3 3 3 3 3 3 3 3 3 26 26 26 3 3 26 26 26 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 5 5 5 3 3 3 3 3 3 3 26 26 26 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 26 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 22 nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 26 26 26 26 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 26 26 26 26 26 26 3 3 5 5 5 3 3 3 26 26 3 26 26 26 26 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 26 3 3 3 26 26 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 26 26 26 26 26 3 26 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 26 26 26 3 5 5 5 3 3 3 3 26 26 26 26 26 26 3 26 26 3 26 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 3 3 26 26 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 26 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 5 5 3 3 3 3 26 26 3 26 26 3 3 26 26 26 26 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 5 5 5 5 5 5 5 5 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 3 3 26 26 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 26 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 26 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 26 26 26 3 3 3 3 3 3 3 3 3 26 26 3 3 26 3 3 3 3 26 26 3 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 3 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 26 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 26 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 5 5 5 5 5 5 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 3 3 3 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 22 3 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 5 5 5 5 3 3 3 5 3 26 26 3 3 3 3 3 3 3 3 26 26 26 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 5 5 5 5 5 nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 3 3 26 26 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 5 3 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 5 5 3 3 3 3 3 5 3 3 26 3 3 3 3 3 3 3 5 5 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 5 5 5 nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 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nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +nan 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 22 22 22 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 nan nan nan 3 3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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22 22 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan 3 3 3 nan 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 22 nan nan nan 22 nan 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 3 5 5 5 3 nan 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3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan 3 3 nan nan nan nan 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan 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3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +5 5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 5 5 5 5 5 3 3 3 3 3 3 3 5 3 nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 nan nan nan 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan 3 3 3 3 3 3 nan nan nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 5 5 5 5 5 5 3 3 3 5 5 3 5 3 nan nan nan nan nan nan 3 3 nan nan nan nan nan 3 3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 nan nan nan nan nan nan nan nan 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 nan nan nan nan nan 3 3 3 3 3 3 3 nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 5 5 5 5 5 5 5 3 3 3 3 3 3 nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 3 3 22 22 22 22 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 nan nan nan 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 nan nan 3 3 nan 3 nan nan 3 3 nan nan nan nan nan nan nan nan nan nan 3 3 nan 3 3 3 nan nan 3 3 3 3 nan nan nan nan nan nan 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3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 nan nan nan nan nan nan nan 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 nan 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 3 3 3 3 19 19 19 19 19 19 19 3 3 3 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 nan nan nan nan nan nan 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 nan nan nan nan nan 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 nan 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan 26 26 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 nan nan 32 nan nan 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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19 3 3 19 19 19 19 3 19 19 19 19 19 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 22 3 32 32 32 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 nan nan 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +nan nan nan nan nan nan nan nan nan nan nan nan nan 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 nan nan nan 5 5 5 nan nan 3 5 5 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 3 3 3 22 22 32 32 32 32 32 32 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +nan 3 3 5 5 5 5 nan nan nan 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 nan nan nan nan nan nan nan nan nan nan 3 3 5 5 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan 5 5 5 5 5 5 5 5 5 5 5 5 5 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 32 32 32 32 32 32 32 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan 5 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 32 32 32 32 32 32 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan 3 3 5 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 32 32 32 32 32 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan 5 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 32 32 32 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan 3 3 3 5 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 nan nan nan nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 nan nan nan nan nan nan nan nan nan nan 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 22 22 3 3 22 3 3 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 nan 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 nan nan nan 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 nan 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 nan nan 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 3 3 3 19 19 19 19 19 19 19 19 19 19 nan 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 22 22 22 22 22 22 22 22 3 3 22 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 3 3 3 3 3 3 3 3 3 19 19 19 19 19 nan nan 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 3 22 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 nan nan 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 22 22 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 5 5 5 5 5 5 5 5 3 3 5 5 5 5 5 5 nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 3 3 3 3 3 3 3 3 3 19 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 22 22 22 22 3 3 3 3 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 3 3 3 19 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 3 5 3 5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 5 5 5 5 5 3 5 5 5 5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan 3 3 3 3 3 5 3 3 3 3 3 3 3 3 19 19 19 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 5 3 3 3 5 3 5 5 5 5 5 5 5 5 5 5 5 5 5 nan nan nan nan nan 5 5 5 3 5 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan nan nan nan nan 3 3 5 5 3 5 5 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 3 3 3 3 19 19 19 19 19 19 19 19 19 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan nan nan nan nan 3 5 5 5 5 5 5 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 3 3 19 19 19 19 19 19 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan nan nan 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 3 3 3 19 19 19 19 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 5 5 5 5 5 5 5 5 3 3 5 5 5 5 5 5 5 5 5 5 5 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 3 3 19 19 19 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 5 5 5 5 5 5 5 5 3 3 3 5 5 5 5 5 5 5 5 5 3 5 3 5 5 3 5 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 3 3 19 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 5 5 5 5 5 5 5 5 3 3 3 3 3 5 5 5 5 5 5 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan 3 3 3 nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 22 nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 5 5 5 5 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 22 22 22 22 22 nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 22 22 22 22 22 nan 22 +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 nan 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 22 22 22 22 nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 19 19 3 3 3 3 19 19 19 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 nan nan nan nan nan nan 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 22 nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 19 19 19 19 19 19 19 19 3 3 3 19 19 19 nan nan nan nan 3 3 3 3 3 3 5 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 nan nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 19 19 19 19 19 19 19 5 19 3 19 19 19 19 nan nan nan nan nan 3 3 3 3 3 5 3 5 5 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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nan 3 3 5 5 5 5 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 19 19 5 5 5 5 5 5 19 19 19 19 19 19 19 19 nan nan nan nan nan nan nan nan nan 3 5 5 5 5 3 5 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 nan nan nan nan nan 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 19 19 5 5 5 5 5 5 5 19 19 19 19 19 19 19 19 nan nan nan nan nan nan nan nan nan 3 5 5 5 5 5 3 3 3 5 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 19 19 19 19 19 19 19 19 19 19 19 19 19 19 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 19 19 5 5 5 5 5 5 3 3 19 19 19 19 19 19 19 19 19 19 19 19 nan nan nan nan 3 3 5 5 5 5 5 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 nan nan nan nan nan nan 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 nan nan nan nan 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 19 19 19 19 19 19 19 19 19 19 19 19 19 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 19 19 19 5 5 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3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 nan nan nan 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 19 19 19 19 19 19 19 19 19 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 19 19 19 19 19 19 19 3 5 3 3 3 3 3 3 3 3 3 5 3 3 19 19 19 19 19 19 19 19 19 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 22 3 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 nan nan nan 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3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 22 3 3 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 nan nan 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 19 19 19 19 19 19 3 nan nan nan nan nan nan nan nan nan nan nan nan nan 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3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 19 19 19 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 19 19 19 19 19 19 19 19 19 19 19 3 3 3 3 5 3 3 3 5 3 3 5 5 5 19 19 19 19 19 19 19 19 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 3 3 3 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 19 19 19 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 19 19 19 19 19 19 19 19 19 19 19 19 19 19 3 3 5 3 3 3 3 3 3 3 5 5 19 19 19 19 19 19 19 19 19 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 3 3 3 3 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan 3 nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 19 19 19 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 3 5 3 3 3 3 3 3 3 5 5 19 19 19 19 19 19 19 19 19 19 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 3 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 nan nan nan nan nan nan nan nan 3 3 nan 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 19 19 19 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 5 3 3 3 3 3 3 3 3 5 19 19 19 19 19 19 19 19 19 19 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 3 22 22 22 22 3 3 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 5 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 nan nan 3 nan nan nan nan nan nan 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 19 19 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 5 3 3 3 3 5 3 3 3 5 19 19 19 19 19 19 19 19 19 19 19 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 3 3 3 3 22 22 22 3 3 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 nan nan nan nan 3 nan nan nan nan nan nan 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 26 3 3 3 3 3 3 3 3 3 3 3 3 22 3 3 3 3 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 19 19 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 5 3 3 3 3 5 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 3 3 3 3 3 3 22 3 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 nan nan nan 3 3 3 3 3 3 nan 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 26 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 3 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 19 19 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 19 19 19 19 19 19 19 19 19 19 19 19 19 3 3 3 3 19 19 19 19 3 3 5 3 3 3 5 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 3 3 3 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 nan 3 3 3 nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 3 22 3 22 3 22 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 26 26 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 3 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 19 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 19 19 19 19 19 19 19 19 19 19 19 19 3 3 3 3 3 3 3 19 19 19 19 5 5 3 3 5 5 5 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan 3 nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 3 22 22 3 3 22 3 3 3 3 3 3 3 3 3 26 5 5 5 5 5 5 26 26 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 19 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 19 19 19 19 19 19 19 19 19 19 19 3 3 3 3 3 3 3 3 3 3 19 19 19 3 3 3 3 5 5 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 22 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 3 22 3 3 3 3 3 3 3 3 3 26 26 26 5 5 5 5 5 5 26 26 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 19 19 19 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 19 19 19 19 19 19 19 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 3 3 5 5 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 22 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 3 3 3 3 3 3 26 3 3 26 26 5 5 5 5 5 5 26 26 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan 3 3 5 5 19 19 19 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 3 3 5 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 22 22 22 22 22 22 22 nan +3 3 3 3 3 3 22 22 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 3 3 3 3 3 3 3 3 26 26 26 26 5 5 5 5 5 5 26 26 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 3 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 5 5 nan nan nan nan nan nan nan nan 5 5 3 5 5 5 5 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 3 3 5 5 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 22 22 22 22 nan nan +3 3 3 3 3 3 3 22 22 3 3 3 3 3 3 3 3 3 3 22 22 3 22 3 22 22 22 3 3 3 3 3 26 26 26 26 26 5 5 5 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 3 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 nan 3 3 3 5 5 5 3 5 5 5 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 5 5 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 5 3 5 3 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 22 22 22 22 22 nan nan +3 3 3 3 3 22 22 22 22 3 3 3 3 3 3 3 3 3 3 22 22 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 5 5 5 5 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 3 3 3 3 19 19 19 19 19 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22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 5 3 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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3 nan 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 22 nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 22 3 5 5 5 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 3 3 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 22 22 3 5 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 22 22 22 22 22 3 3 22 22 3 22 3 3 3 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 22 22 22 22 22 22 22 22 22 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 3 5 3 3 3 3 3 3 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 5 5 5 nan 5 nan nan nan nan nan nan nan nan nan nan 5 5 5 5 5 5 +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 5 26 26 5 5 5 5 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 5 5 5 nan 5 nan nan nan 5 5 5 nan nan nan nan nan nan nan nan nan 19 19 19 19 19 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 5 3 19 19 3 3 3 3 3 3 3 3 19 19 19 19 19 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 5 5 5 nan nan nan nan nan nan nan nan 5 5 5 5 5 5 5 +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 5 26 26 26 5 5 3 5 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 5 5 5 5 5 nan nan nan nan 5 5 5 nan nan nan nan nan nan nan nan nan nan 19 nan nan nan nan nan 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 19 19 19 19 19 19 19 19 19 5 5 5 5 5 3 19 19 19 19 19 19 19 19 19 19 19 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 nan nan 5 5 5 5 +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 5 5 5 3 5 3 3 3 3 3 26 26 26 3 3 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 5 5 3 5 5 5 nan 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 19 19 19 19 19 19 19 5 5 5 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 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nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 5 5 5 5 5 +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 5 5 3 3 3 3 26 3 3 3 3 3 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 5 3 5 3 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 22 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 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3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 5 5 5 3 +26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 5 5 5 5 3 3 26 3 3 3 3 26 26 26 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan 22 22 22 22 19 19 19 19 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 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nan nan nan nan nan nan nan nan nan 5 5 3 3 5 5 5 +3 3 3 3 3 5 5 3 3 5 5 5 5 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 5 5 5 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 8 8 8 nan nan 22 22 22 8 8 26 26 26 26 26 26 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 3 19 19 19 5 5 5 5 5 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 3 23 23 23 23 23 23 23 23 23 23 nan 3 3 26 3 3 26 26 26 26 26 26 26 26 26 26 3 3 26 26 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 5 5 5 5 +3 3 3 3 3 3 5 5 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 5 5 5 3 3 3 3 5 5 5 5 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 26 26 26 26 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 5 5 5 +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 5 5 5 5 5 5 5 5 3 3 3 3 3 8 8 8 3 3 8 8 3 26 26 26 26 26 26 26 26 8 26 26 26 8 8 8 8 8 8 8 8 8 8 8 8 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 5 5 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 5 5 5 3 3 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 5 3 26 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 26 26 3 3 3 3 3 5 5 3 3 3 3 3 3 3 8 8 8 8 8 8 26 26 26 26 26 26 26 26 8 8 8 8 8 8 8 8 8 8 8 8 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 5 5 5 5 3 5 5 5 5 5 5 3 3 3 3 3 3 3 3 5 5 5 5 5 5 3 3 3 3 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 5 +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 26 26 26 26 26 26 26 26 26 26 8 8 8 8 8 8 8 8 8 8 8 3 3 3 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 nan 3 nan 3 3 3 3 3 3 nan nan nan 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 5 5 5 5 3 5 5 5 5 5 5 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 26 26 26 26 26 26 26 26 3 3 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 5 +3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 3 3 3 26 26 26 26 26 26 26 26 8 8 8 8 8 8 8 8 8 3 3 3 3 3 nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 3 3 3 3 nan nan nan nan nan 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 +3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 8 8 8 8 8 8 8 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan 3 3 3 3 3 3 3 5 5 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 nan nan nan 3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 5 5 5 5 3 3 3 5 3 3 3 3 3 3 3 3 3 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 5 5 5 5 5 5 5 26 5 5 5 5 5 5 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3 3 3 3 3 3 nan nan nan nan nan 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 5 5 5 5 5 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 5 5 5 5 5 5 3 5 5 3 3 3 3 3 3 3 3 3 5 3 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 5 5 5 5 5 26 26 5 5 5 5 5 5 5 5 3 3 3 3 3 5 5 5 5 26 26 5 5 5 26 26 26 26 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 +3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 5 5 5 3 3 3 3 3 3 3 8 8 8 8 8 8 8 8 8 8 8 8 8 8 3 3 3 3 3 26 26 26 26 26 26 26 8 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 5 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 5 5 5 5 5 5 5 5 5 3 5 5 3 3 3 3 3 5 3 3 5 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 19 5 5 5 5 5 5 5 5 26 26 5 3 3 3 5 5 3 3 3 3 5 5 5 5 5 5 5 26 26 26 26 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 nan 3 3 5 +3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 26 3 26 26 26 26 26 26 26 8 8 8 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 5 3 3 3 3 3 nan nan nan nan nan nan 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 5 5 5 5 5 5 3 5 5 3 5 5 3 3 3 3 5 5 5 5 5 5 5 19 19 19 19 19 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26 26 26 26 26 26 26 8 26 26 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan 3 3 3 3 3 nan nan nan nan nan nan nan nan 3 3 3 3 nan nan nan 3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 5 3 3 5 5 5 5 5 3 3 3 3 3 3 3 5 3 3 3 3 3 3 5 5 5 5 5 5 19 19 19 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 26 26 26 26 26 5 5 3 3 3 3 3 5 5 3 5 5 5 5 5 5 5 26 26 26 26 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 26 26 26 26 26 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 5 5 5 +3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 32 5 5 32 5 5 5 32 32 32 32 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 26 26 8 8 26 8 8 8 8 26 26 8 26 8 26 26 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 nan nan 3 nan nan nan nan nan nan nan nan nan 3 3 3 3 nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 nan nan 3 nan 3 5 5 5 5 3 5 5 5 5 5 3 3 3 3 5 3 3 3 5 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 3 3 5 5 5 5 5 26 26 5 5 5 5 3 3 5 3 5 5 3 5 5 5 5 5 5 26 26 26 26 26 26 3 3 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 5 5 5 5 +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 32 32 32 32 32 32 32 32 32 32 32 8 8 3 3 8 8 8 8 8 8 8 8 8 3 8 8 8 8 8 8 8 8 8 8 26 26 8 8 8 26 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan 3 3 3 3 3 nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan 5 5 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 26 26 26 3 3 3 3 5 5 3 5 5 5 5 5 26 26 26 26 26 26 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 26 26 3 3 3 3 5 5 5 5 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 +3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 32 32 32 32 32 32 32 32 32 32 32 32 32 8 8 3 3 8 8 8 8 8 8 8 3 3 3 8 8 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nan 3 3 3 3 3 3 3 3 +3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 32 32 32 32 32 32 32 32 32 32 32 32 32 8 3 3 8 8 8 8 8 8 3 3 3 3 3 3 3 8 8 8 8 8 8 8 8 8 8 26 26 26 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 3 5 5 5 3 5 3 5 5 5 5 5 5 3 5 3 3 5 5 5 5 5 5 5 5 26 26 26 26 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 26 3 3 3 3 26 26 26 26 26 26 3 26 3 5 5 5 5 5 5 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 +3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 32 32 32 32 32 32 32 32 32 32 32 32 3 3 3 3 3 8 8 8 8 8 32 32 5 5 3 32 8 8 8 8 8 8 8 8 8 8 8 26 26 26 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 3 5 3 3 3 3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 5 5 5 5 5 5 3 3 3 5 3 5 3 3 3 5 5 5 5 3 3 3 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 3 3 3 3 3 5 5 5 5 5 5 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 +26 26 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 32 32 32 32 32 32 32 32 32 32 32 32 32 3 3 3 3 3 3 8 8 8 8 32 32 5 5 32 32 32 8 8 32 8 8 8 8 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 3 3 5 5 5 5 5 5 5 5 5 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 5 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 +26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 32 32 32 32 32 32 32 32 32 32 32 3 3 3 3 3 3 3 3 8 8 32 32 5 5 32 32 32 32 32 3 32 8 8 8 8 26 8 8 26 26 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan 3 nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 26 5 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 5 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 32 32 32 32 32 3 32 32 32 32 32 3 3 3 3 3 3 3 3 32 32 32 32 32 32 32 3 3 3 32 32 8 8 8 8 8 26 26 8 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 nan nan 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 26 5 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 3 3 3 3 3 26 26 26 26 3 26 26 26 26 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 nan nan nan nan 5 3 3 3 5 +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 3 3 3 3 32 32 32 32 32 32 32 32 32 3 3 32 32 32 32 32 32 32 32 3 3 32 32 32 8 8 26 26 26 26 8 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 3 3 3 26 26 26 26 26 3 26 26 26 26 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 5 +3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 3 nan nan nan nan 5 5 3 nan nan nan nan 5 5 5 5 5 5 26 26 26 26 5 5 26 5 5 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 5 5 5 5 +3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 5 5 5 5 5 5 5 3 nan nan nan nan nan nan nan nan nan nan nan nan nan 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 3 26 3 3 3 3 5 5 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 26 26 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 32 32 32 32 32 32 32 32 32 32 32 32 3 32 32 32 32 32 32 32 32 32 32 32 8 8 8 8 8 8 8 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 nan 3 3 3 3 3 3 nan nan nan nan nan nan nan 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 3 3 3 3 3 5 5 5 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 26 3 3 26 26 26 3 3 3 3 26 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 32 32 32 32 32 3 3 3 32 32 32 32 3 3 32 32 32 32 32 32 32 32 32 8 8 8 8 8 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 26 26 26 nan nan nan 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 26 26 3 3 3 3 3 3 32 32 32 32 32 32 32 3 32 32 32 3 3 32 32 32 32 32 32 32 32 8 8 8 8 8 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 26 26 26 nan nan nan nan nan 26 26 26 26 26 26 26 3 3 3 3 3 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 5 3 3 3 26 3 3 3 3 3 3 26 3 3 3 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 5 32 32 32 32 32 32 32 3 32 32 3 3 3 32 32 32 32 32 32 32 32 32 8 8 8 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 26 26 nan nan nan nan nan nan 26 26 26 26 3 3 3 3 3 3 3 3 26 3 26 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 5 5 5 3 32 32 32 3 3 3 3 3 3 3 3 3 3 3 32 32 32 3 8 8 8 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 nan nan nan nan nan nan nan nan nan nan 26 26 26 26 26 3 3 3 26 26 26 26 26 3 3 3 26 26 26 26 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 5 5 3 3 5 5 5 3 3 3 3 3 3 3 3 32 32 3 3 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan 3 3 nan nan 26 26 26 26 26 3 3 3 26 26 26 26 26 26 3 3 26 26 26 26 26 3 3 nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 5 3 3 5 5 5 5 3 3 3 3 3 3 3 32 32 32 32 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan 3 3 nan 26 26 26 26 26 3 3 3 26 3 26 26 26 26 26 3 3 26 26 26 3 nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 5 3 5 5 5 3 5 3 3 3 3 3 3 3 32 32 32 32 32 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 3 3 nan 3 3 3 nan nan 26 26 26 26 26 3 3 26 26 26 26 26 26 26 3 26 26 26 26 nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 32 32 32 32 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 nan nan nan 26 26 26 26 26 3 3 26 26 26 26 26 3 3 3 26 26 26 nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 26 3 26 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 32 32 3 32 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 3 3 3 3 nan nan 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 3 26 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 26 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 5 5 3 3 3 3 3 32 3 32 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 3 3 3 3 nan nan 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 5 5 3 3 3 32 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 26 26 26 26 26 26 26 26 26 26 5 26 26 26 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 5 5 5 3 5 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 26 26 26 26 5 5 5 5 5 26 26 3 3 3 3 3 nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 5 3 3 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 26 26 26 26 5 26 26 26 26 26 3 3 3 3 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 5 5 3 3 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 nan nan 26 26 26 26 5 5 26 26 26 26 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 5 5 3 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 26 26 26 3 nan nan 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 5 5 3 3 3 5 5 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 26 26 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 nan nan 26 26 26 26 26 26 26 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 nan nan 26 26 26 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 nan nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 5 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 nan nan nan 26 nan nan nan 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 nan 3 26 26 26 26 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 nan nan 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 nan 3 3 26 26 26 26 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 nan nan nan nan nan 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 nan 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan 3 nan nan nan 26 26 26 26 26 26 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 3 3 3 3 3 26 3 26 26 26 26 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 5 5 3 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 5 5 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 26 26 26 26 nan nan nan nan nan nan nan nan 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3 3 26 26 26 26 26 3 26 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 26 26 26 nan nan nan nan nan nan nan nan 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 nan nan 3 nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan 26 26 nan nan nan nan nan 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 3 3 3 3 3 3 3 3 3 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 26 26 26 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 5 5 3 5 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 26 nan nan nan 3 3 3 3 3 5 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 26 26 26 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 5 5 5 5 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 5 3 5 5 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 5 5 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 26 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 5 5 5 5 5 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 5 3 5 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 5 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 5 5 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 3 3 3 3 3 3 3 3 3 3 8 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 5 5 5 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 5 5 5 5 3 3 nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 3 3 3 3 3 3 3 3 3 3 8 8 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 5 5 5 3 3 3 5 5 5 3 3 3 3 3 3 nan nan 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 5 5 5 5 5 5 3 3 nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 3 8 8 8 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 26 26 3 3 nan nan nan 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 5 3 5 5 5 5 3 5 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 nan nan nan 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 5 5 5 3 5 5 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 8 8 8 8 8 8 3 8 8 3 8 8 8 8 8 8 8 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 5 3 3 5 3 22 22 22 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 nan nan 5 5 5 5 5 5 5 3 5 3 3 3 3 3 3 3 3 3 3 3 3 5 5 nan 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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nan nan nan nan nan nan nan nan +3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 8 8 8 8 8 8 8 3 3 3 3 3 3 3 3 8 8 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 5 5 5 5 22 22 22 22 22 22 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 nan 5 5 3 3 3 5 3 3 3 5 5 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 8 8 8 8 8 8 8 8 8 3 3 3 3 3 3 3 3 3 8 8 8 8 8 3 8 3 8 3 3 8 8 8 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 5 5 5 5 5 5 5 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 8 8 8 8 8 8 8 8 3 3 8 3 3 3 3 3 3 3 3 8 8 8 8 8 3 3 3 3 8 3 3 8 8 8 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 3 8 3 8 3 3 3 8 3 3 8 3 3 3 3 3 3 3 3 3 8 8 8 8 8 3 3 8 8 3 3 3 8 8 3 3 3 3 3 26 26 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 5 5 5 5 5 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 3 3 3 3 3 3 3 8 3 3 3 3 3 3 3 3 3 3 3 3 3 8 3 3 8 8 8 3 3 3 3 3 8 8 8 3 3 3 26 26 26 26 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 5 5 5 5 5 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 26 26 26 26 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 3 3 3 3 3 3 8 3 3 3 3 3 3 3 3 3 3 3 3 3 8 3 3 8 8 8 3 3 3 3 8 8 8 8 3 3 3 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 5 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 5 5 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 3 3 3 3 3 8 8 8 8 3 3 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 5 3 5 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 26 3 3 26 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 8 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 3 3 8 8 8 3 3 26 26 26 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 3 26 26 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 5 5 5 5 5 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 26 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 26 3 3 3 26 26 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 8 8 8 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 3 3 3 3 8 3 3 26 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 3 26 26 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 5 5 5 3 5 5 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 3 3 3 3 26 26 26 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 5 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 3 26 26 3 26 3 26 26 26 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 8 8 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 3 3 3 8 3 26 3 3 3 26 26 26 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 3 26 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 3 3 26 26 26 26 26 26 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 5 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 3 3 3 8 8 8 3 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 3 3 8 8 3 3 26 26 26 3 26 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 5 3 3 5 5 5 3 3 3 3 3 3 3 5 5 3 3 3 3 5 5 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 26 26 26 26 26 26 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 26 26 26 26 3 26 26 26 26 26 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 8 3 3 3 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 8 8 8 8 8 3 3 26 26 26 3 26 26 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 5 3 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 3 26 26 26 26 26 26 26 26 26 3 3 nan nan nan 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 5 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 26 26 3 26 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 8 8 8 8 8 8 26 26 26 26 26 26 3 3 3 26 26 26 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 5 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 3 26 26 26 26 26 26 26 26 3 3 3 nan nan 3 3 3 3 3 3 5 5 5 5 5 3 3 3 5 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 26 3 3 3 26 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 3 8 8 8 8 8 8 3 26 26 26 26 26 26 3 3 26 26 26 26 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 26 26 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 26 26 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 3 3 3 8 8 8 8 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 3 3 3 26 26 26 3 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 26 26 26 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 26 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 3 3 3 8 8 3 3 3 3 26 26 26 26 26 26 26 3 26 26 26 26 26 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 3 3 3 3 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 3 26 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 26 26 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 3 8 3 3 3 26 26 26 26 26 26 26 26 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 3 3 3 3 3 3 nan 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 26 26 26 26 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 26 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 3 3 3 3 3 26 26 26 26 26 26 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 3 3 3 3 3 nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 3 3 3 3 3 3 26 26 26 26 26 26 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 26 26 26 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 26 26 26 26 26 26 26 26 26 3 3 3 26 26 3 26 26 22 3 22 3 22 3 3 3 26 26 3 3 3 3 26 26 26 26 26 26 26 26 26 3 3 nan nan nan nan nan nan 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 26 26 26 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 26 26 26 26 26 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 3 3 3 3 26 26 26 26 26 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 26 26 26 26 26 26 26 26 26 3 3 3 3 26 3 26 26 26 26 22 22 22 22 3 26 26 26 26 3 3 3 3 26 26 26 26 26 26 26 26 3 3 3 nan nan nan nan nan 3 3 3 nan 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 3 8 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 26 26 26 26 26 26 26 3 3 3 26 26 26 26 26 26 22 22 22 22 3 3 26 26 26 26 3 3 3 3 26 26 26 26 26 26 3 26 26 26 nan nan nan nan nan nan nan 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 nan 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 nan 3 nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 3 3 3 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 26 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 26 26 22 22 22 3 3 26 3 26 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 nan 26 26 nan nan nan nan nan 3 3 3 3 3 nan nan nan nan 3 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 26 3 26 3 26 26 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 3 3 3 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 26 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 22 22 22 22 3 3 3 3 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 nan nan nan nan 3 3 3 3 3 3 nan nan nan nan nan nan 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 nan nan nan 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 26 26 3 26 26 26 26 3 26 26 26 3 3 3 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 8 3 8 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 22 22 22 22 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 nan nan nan 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 26 26 26 3 26 26 26 26 3 3 3 26 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 26 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 22 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 nan nan nan 3 nan nan nan nan 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 26 26 3 3 3 3 3 26 3 3 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 26 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 nan nan nan 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +nan nan nan 3 nan nan nan nan 3 nan nan 3 3 3 3 3 3 3 26 26 26 26 26 3 26 3 3 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 26 26 3 3 26 3 26 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 8 8 8 3 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 3 26 26 3 3 26 26 26 26 26 26 26 26 26 26 3 3 26 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 nan nan nan 3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan 3 nan 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +nan nan nan 3 nan nan 3 3 nan nan nan 3 3 3 5 5 5 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 26 3 3 26 26 26 26 26 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 3 3 3 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 5 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 3 26 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +nan nan nan 3 3 3 3 nan nan 3 3 3 5 5 5 5 5 5 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 26 26 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 3 3 8 3 8 8 3 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 5 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 nan nan nan 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 nan nan 3 nan 3 nan nan nan 3 3 3 3 5 3 5 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 26 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +nan nan 3 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 26 26 26 26 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 nan nan nan 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +nan nan nan 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 26 26 26 26 26 3 3 3 3 26 26 26 26 26 26 26 26 26 26 3 3 26 3 5 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 26 26 3 3 3 3 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 nan nan nan 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +nan 3 3 3 3 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 3 3 26 26 3 3 3 3 3 3 26 3 3 26 26 26 26 3 3 26 3 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 26 26 3 26 3 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 nan nan nan nan 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 nan 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 26 3 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 3 26 26 26 26 3 3 3 26 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 26 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 26 26 26 26 26 26 26 26 3 26 26 3 3 3 3 3 3 3 3 3 26 26 26 3 26 26 26 26 26 3 3 3 3 3 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 nan nan nan 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 26 3 3 3 3 26 26 26 26 26 26 26 26 26 3 3 3 3 3 26 3 26 26 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 26 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 3 3 8 3 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 26 26 3 3 3 3 3 3 3 3 3 26 26 26 26 3 26 26 26 26 26 26 26 26 26 26 3 3 26 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 nan nan 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 26 3 26 3 3 3 3 3 3 3 26 26 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 26 26 26 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 26 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 26 3 26 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 26 26 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 26 3 26 3 26 26 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 26 26 26 26 26 26 3 3 3 3 3 3 3 26 26 26 3 26 26 26 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 3 26 3 3 3 3 26 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 3 26 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 26 3 3 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 26 26 26 26 3 26 26 26 26 3 3 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 26 26 26 26 3 3 26 26 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 26 3 26 26 3 26 3 26 26 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 26 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 26 3 26 26 26 26 26 26 26 26 3 26 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 nan nan nan nan 3 3 3 3 3 26 26 26 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 26 26 26 3 3 26 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 5 5 26 26 26 26 26 26 26 3 3 3 3 3 3 26 26 26 26 3 3 26 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 3 3 26 26 26 3 3 3 3 26 26 26 26 26 5 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 26 26 26 26 3 3 3 26 3 26 26 26 26 26 26 26 26 26 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 nan nan nan 3 3 3 3 3 3 26 26 26 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 5 5 5 3 26 26 26 26 26 26 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 26 26 26 3 3 26 26 26 26 3 3 3 26 5 26 26 5 5 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 nan nan 3 3 3 3 3 26 26 26 26 26 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 3 26 26 26 26 3 26 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 26 26 26 26 3 26 26 26 26 3 3 3 26 26 5 5 5 26 5 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 3 26 26 26 26 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 26 26 26 26 26 26 26 3 3 3 3 3 26 26 26 26 26 3 3 3 3 3 3 3 3 26 26 26 26 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 nan nan 3 3 3 3 3 26 26 26 26 26 26 3 26 26 3 3 26 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 26 26 3 3 3 3 3 3 26 26 26 26 3 26 5 5 5 5 5 5 26 26 26 26 26 3 3 26 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 26 26 26 26 26 26 26 26 3 3 3 3 3 26 26 26 26 26 3 26 3 3 3 26 3 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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 26 3 3 26 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 26 26 26 26 26 26 26 3 26 3 3 26 3 26 26 26 26 26 26 26 26 3 3 3 3 3 26 26 26 26 26 3 26 3 3 26 26 26 3 3 3 26 26 26 26 3 5 3 26 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 nan nan nan 3 3 3 3 3 26 26 26 26 26 26 26 26 3 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan 3 3 3 nan nan nan nan nan nan nan nan nan 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 26 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 5 26 26 26 26 26 26 3 3 26 26 26 3 26 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 nan 3 3 3 3 26 26 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 26 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 26 26 26 3 3 26 26 26 26 26 26 3 3 26 26 26 26 26 26 26 3 3 3 26 26 3 3 3 26 26 26 26 26 5 5 3 26 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 nan 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 3 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 3 nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 nan nan nan 3 26 26 26 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 26 26 26 26 3 3 26 26 26 26 26 3 26 26 26 26 26 26 26 3 3 3 3 26 26 3 26 3 26 26 26 26 5 5 5 26 26 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 nan nan 3 3 3 3 26 26 26 26 26 26 26 26 26 26 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 nan nan nan 3 3 3 nan nan 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 26 26 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 26 26 26 3 3 3 3 3 3 26 26 3 3 26 26 26 26 26 26 3 26 26 26 26 26 26 26 26 26 26 3 3 26 3 3 3 26 26 26 26 26 5 5 26 26 3 3 3 3 3 26 26 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 nan nan nan 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 nan 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 26 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 5 5 5 5 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 3 3 26 3 26 26 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 26 26 3 3 26 3 26 26 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 5 26 26 3 3 3 3 3 26 26 3 3 26 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 nan nan nan 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 3 26 26 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 3 26 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 3 26 26 26 26 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 26 3 3 3 3 26 26 26 3 3 26 26 26 26 26 26 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 26 3 3 3 3 26 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 nan nan 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 3 3 3 3 3 3 26 26 26 26 26 26 26 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 nan 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan +3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan 3 3 3 3 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 3 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 26 3 26 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 26 26 26 26 26 26 26 3 3 3 3 3 3 3 3 3 3 3 26 3 3 3 3 3 3 3 3 3 26 3 3 3 26 26 26 3 3 26 26 26 26 26 26 26 3 26 3 3 3 26 26 3 3 26 26 26 26 26 26 26 26 26 26 3 3 3 3 3 26 3 3 3 3 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 nan 3 3 3 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 26 3 26 26 26 26 26 26 26 26 26 26 3 26 26 26 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 nan nan 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan diff --git a/data/Kitral/Portillo-rio-asc/ignicion_1.dbf b/data/Kitral/Portillo-rio-asc/ignicion_1.dbf new file mode 100644 index 00000000..c9b62ea3 Binary files /dev/null and b/data/Kitral/Portillo-rio-asc/ignicion_1.dbf differ diff --git a/data/Kitral/Portillo-rio-asc/ignicion_1.prj b/data/Kitral/Portillo-rio-asc/ignicion_1.prj new file mode 100644 index 00000000..cbe99212 --- /dev/null +++ b/data/Kitral/Portillo-rio-asc/ignicion_1.prj @@ -0,0 +1 @@ +PROJCS["WGS_1984_UTM_Zone_19S",GEOGCS["GCS_WGS_1984",DATUM["D_WGS_1984",SPHEROID["WGS_1984",6378137.0,298.257223563]],PRIMEM["Greenwich",0.0],UNIT["Degree",0.0174532925199433]],PROJECTION["Transverse_Mercator"],PARAMETER["False_Easting",500000.0],PARAMETER["False_Northing",10000000.0],PARAMETER["Central_Meridian",-69.0],PARAMETER["Scale_Factor",0.9996],PARAMETER["Latitude_Of_Origin",0.0],UNIT["Meter",1.0]] \ No newline at end of file diff --git a/data/Kitral/Portillo-rio-asc/ignicion_1.shp b/data/Kitral/Portillo-rio-asc/ignicion_1.shp new file mode 100644 index 00000000..cbf451de Binary files /dev/null and b/data/Kitral/Portillo-rio-asc/ignicion_1.shp differ diff --git a/data/Kitral/Portillo-rio-asc/ignicion_1.shx b/data/Kitral/Portillo-rio-asc/ignicion_1.shx new file mode 100644 index 00000000..1ffee2a8 Binary files /dev/null and b/data/Kitral/Portillo-rio-asc/ignicion_1.shx differ diff --git a/data/Kitral/Portillo-rio-asc/ignicion_2.gpkg b/data/Kitral/Portillo-rio-asc/ignicion_2.gpkg new file mode 100644 index 00000000..4beca7d2 Binary files /dev/null and b/data/Kitral/Portillo-rio-asc/ignicion_2.gpkg differ diff --git a/data/Kitral/Portillo-rio-asc/kitral_lookup_table.csv b/data/Kitral/Portillo-rio-asc/kitral_lookup_table.csv new file mode 100644 index 00000000..792d4da3 --- /dev/null +++ b/data/Kitral/Portillo-rio-asc/kitral_lookup_table.csv @@ -0,0 +1,38 @@ +grid_value,export_value,descriptive_name,fuel_type,r,g,b,h,s,l +1,1,Pastizales Mesomorficos Densos,PCH1,209,255,115,57,255,185 +2,2,Pastizales Mesoomorficos Ralos,PCH2,34,102,51,95,128,68 +3,3,Pastizales Higromorficos Densos,PCH3,131,199,149,96,96,165 +4,4,Pastizales Higromorficos Ralos,PCH4,112,168,0,57,255,84 +5,5,Chacareria. Vinedos y Frutales,PCH5,223,184,230,206,122,207 +6,6,Matorrales y Arbustos Mesomorficos Densos,MT01,172,102,237,192,201,170 +7,7,Matorrales y Arbustos Mesomorficos Medios y Ralos,MT02,112,12,242,188,231,127 +8,8,Matorrales y Arbustos Higromorficos Densos,MT03,196,189,151,35,70,174 +9,9,Matorrales y Arbustos Higromorificos Medios y Ralos,MT04,137,112,68,27,86,103 +10,10,Formaciones con predominancia de Chuesquea spp,MT05,196,189,151,35,70,174 +11,11,Formaciones con predominancia de Ulex spp,MT06,251,190,185,3,227,218 +12,12,Renovales Nativos diferentes al Tipo Siempreverde,MT07,247,104,161,-272,229,176 +13,13,Renovales Nativos del Tipo Siempreverde,MT08,174,1,126,-285,252,88 +14,14,Formaciones con predominancia de Alerzales,BN01,255,255,190,42,255,223 +15,15,Formaciones con predominancia de Araucaria,BN02,230,230,0,42,255,115 +16,16,Arbolado Nativo Denso,BN03,255,211,127,28,255,191 +17,17,Arbolado Nativo de Densidad Media,BN04,255,170,0,28,255,128 +18,18,Arbolado Nativo de Densidad Baja,BN05,255,211,127,28,255,191 +19,19,Plantaciones Coniferas Nuevas (0-3) sin Manejo,PL01,99,0,0,0,255,50 +20,20,Plantaciones Coniferas Jovenes (4-11) sin Manejo,PL02,99,0,0,0,255,50 +21,21,Plantaciones Coniferas Adultas (12-17) sin Manejo,PL03,99,0,0,0,255,50 +22,22,Plantaciones Coniferas Mayores (>17) sin Manejo,PL04,99,0,0,0,255,50 +23,23,Plantaciones Coniferas Jovenes (4-11) con Manejo,PL05,99,0,0,0,255,50 +24,24,Plantaciones Coniferas Adultas (12-17) con Manejo,PL06,99,0,0,0,255,50 +25,25,Plantaciones Coniferas Mayores (>17) sin Manejo,PL07,99,0,0,0,255,50 +26,26,Plantaciones Eucaliptos Nuevas (0-3),PL08,99,0,0,0,255,50 +27,27,Plantaciones Eucaliptos Jovenes (4-10),PL09,99,0,0,0,255,50 +28,28,Plantaciones Eucalipto Adultas (>10),PL10,99,0,0,0,255,50 +29,29,Plantaciones Latifoliadas y Mixtas,PL11,99,0,0,0,255,50 +30,30,Desechos Explotacion a Tala Rasa de Plantaciones,DX01,255,211,127,28,255,191 +31,31,Desechos Explotacion a Tala Rasa de Bosque Nativo,DX02,255,211,127,28,255,191 +100,100,Not Available,Non-fuel,255,255,255,170,0,255 +101,101,Non-fuel,Non-fuel,130,130,130,170,0,130 +102,102,Water,Non-fuel,115,223,255,138,255,185 +103,103,Unknown,Non-fuel,0,0,0,170,0,0 +104,104,Unclassified,Non-fuel,166,166,166,170,0,166 +105,105,Vegetated Non-Fuel,Non-fuel,204,204,204,170,0,204 \ No newline at end of file diff --git a/data/Kitral/Portillo-rio-asc/rio_claro_eje.dbf b/data/Kitral/Portillo-rio-asc/rio_claro_eje.dbf new file mode 100644 index 00000000..af7ef868 Binary files /dev/null and b/data/Kitral/Portillo-rio-asc/rio_claro_eje.dbf differ diff --git a/data/Kitral/Portillo-rio-asc/rio_claro_eje.prj b/data/Kitral/Portillo-rio-asc/rio_claro_eje.prj new file mode 100644 index 00000000..cbe99212 --- /dev/null +++ b/data/Kitral/Portillo-rio-asc/rio_claro_eje.prj @@ -0,0 +1 @@ +PROJCS["WGS_1984_UTM_Zone_19S",GEOGCS["GCS_WGS_1984",DATUM["D_WGS_1984",SPHEROID["WGS_1984",6378137.0,298.257223563]],PRIMEM["Greenwich",0.0],UNIT["Degree",0.0174532925199433]],PROJECTION["Transverse_Mercator"],PARAMETER["False_Easting",500000.0],PARAMETER["False_Northing",10000000.0],PARAMETER["Central_Meridian",-69.0],PARAMETER["Scale_Factor",0.9996],PARAMETER["Latitude_Of_Origin",0.0],UNIT["Meter",1.0]] \ No newline at end of file diff --git a/data/Kitral/Portillo-rio-asc/rio_claro_eje.shp b/data/Kitral/Portillo-rio-asc/rio_claro_eje.shp new file mode 100644 index 00000000..98214aeb Binary files /dev/null and b/data/Kitral/Portillo-rio-asc/rio_claro_eje.shp differ diff --git a/data/Kitral/Portillo-rio-asc/rio_claro_eje.shx b/data/Kitral/Portillo-rio-asc/rio_claro_eje.shx new file mode 100644 index 00000000..0f1a8cf4 Binary files /dev/null and b/data/Kitral/Portillo-rio-asc/rio_claro_eje.shx differ diff --git a/data/Kitral/Portillo-rio-asc/saz.asc 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45.03 42.92 40.69 37.45 34.49 31.41 27.99 25.22 22.95 21.42 20.58 19.44 18.87 19.00 18.87 18.49 19.00 20.28 20.07 18.33 18.35 18.35 17.13 16.30 15.42 15.42 14.64 14.73 15.37 15.29 15.56 15.66 17.16 17.45 17.34 18.61 19.67 20.76 21.93 22.46 23.64 24.22 24.27 25.00 25.00 26.25 26.84 26.93 27.74 29.02 29.59 29.73 30.60 30.60 31.50 31.12 29.81 29.81 29.07 28.33 27.60 26.87 25.44 24.04 22.67 20.11 19.53 18.28 15.95 15.37 15.42 15.02 15.02 15.02 15.02 15.02 14.92 15.37 16.50 17.72 18.94 20.83 21.61 22.58 23.48 24.78 27.04 28.24 28.48 30.05 31.62 31.62 32.69 34.06 34.67 34.49 35.63 35.63 34.32 35.00 34.89 32.30 30.18 28.90 26.72 24.59 20.42 16.75 14.87 10.29 6.48 5.43 7.45 10.67 14.78 17.25 20.34 23.46 25.31 27.74 30.05 31.78 32.94 34.68 35.75 35.67 36.25 36.77 37.29 37.24 37.24 37.20 37.14 37.72 37.71 37.71 37.12 35.36 34.77 34.18 32.41 31.23 30.05 29.49 28.34 26.54 25.37 24.81 23.69 22.67 21.61 20.45 19.44 18.63 18.49 17.95 17.41 17.13 16.08 15.87 15.37 15.06 15.57 14.25 13.74 12.13 12.13 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30.20 29.15 28.78 29.09 29.49 28.87 29.49 30.78 30.26 30.42 31.32 30.17 29.73 29.87 29.15 28.44 27.74 27.16 25.31 24.04 22.67 21.34 20.07 18.86 18.86 18.87 18.35 17.83 18.42 18.50 18.50 19.00 19.00 19.53 20.63 21.22 22.40 24.19 24.22 24.81 26.03 26.03 26.03 26.75 26.84 26.09 27.34 27.34 27.27 27.85 26.62 25.99 26.54 27.13 26.52 27.11 27.13 27.16 28.38 28.58 29.26 30.05 30.87 32.16 33.59 34.49 35.40 36.55 35.30 +22.67 24.78 24.27 24.67 25.06 25.99 27.94 29.45 30.60 32.36 33.33 34.36 36.02 37.17 37.72 37.71 37.72 37.14 36.55 36.55 36.55 36.55 36.55 36.55 35.95 35.36 35.95 36.55 35.95 35.36 35.95 35.96 34.77 35.36 35.96 35.37 35.36 34.77 34.20 34.20 33.08 32.54 32.02 30.52 30.17 30.03 29.45 29.02 29.02 29.11 29.11 29.21 29.17 29.59 30.56 31.58 32.06 32.86 34.06 35.08 35.89 36.40 36.89 37.42 38.21 39.02 39.62 40.49 41.25 41.59 41.74 43.06 44.60 45.74 47.17 48.07 49.02 50.00 51.02 52.61 53.15 53.11 52.53 52.53 51.94 50.80 49.67 46.92 44.76 43.01 39.76 36.35 33.59 30.57 27.95 25.45 23.10 21.12 19.27 18.61 18.27 17.25 17.73 18.28 18.72 18.63 17.21 18.41 18.41 16.75 16.75 16.38 16.51 15.87 16.08 17.13 16.64 16.97 17.89 18.87 19.18 20.11 21.83 22.42 23.01 24.19 24.76 25.34 25.34 25.93 27.13 27.13 28.38 28.97 28.93 29.61 31.00 31.00 31.00 32.36 32.36 32.47 32.02 31.45 30.87 30.30 29.59 28.31 27.74 26.35 24.42 23.17 21.22 20.62 19.45 17.92 18.03 17.45 16.44 16.44 16.44 16.44 16.44 17.01 18.03 18.42 18.87 20.07 21.34 22.00 23.35 24.73 26.15 27.04 28.14 29.11 30.10 31.36 31.62 32.41 33.48 34.06 34.36 35.48 35.30 33.99 34.32 33.71 31.47 30.18 28.07 25.06 23.75 20.00 15.42 13.44 8.98 6.01 6.26 8.44 11.20 14.92 18.03 21.16 23.72 25.58 28.17 30.60 31.58 32.73 34.59 35.02 34.79 35.37 35.94 36.42 36.25 36.77 36.70 36.07 36.65 36.58 35.96 34.79 33.59 33.61 31.84 30.06 30.06 28.87 27.70 26.58 24.81 23.64 23.10 21.34 20.34 20.01 18.87 17.73 17.33 17.73 17.41 16.34 16.08 15.57 15.57 15.06 15.37 15.37 13.74 13.24 11.93 11.93 11.93 10.31 8.70 8.70 8.70 7.66 7.45 7.45 7.45 8.44 8.99 8.99 11.12 13.08 13.91 15.69 17.00 20.28 23.57 24.87 27.13 29.42 30.73 30.73 32.04 33.05 32.74 32.45 31.89 31.36 30.10 29.11 27.59 25.17 23.58 21.61 19.59 18.87 17.72 16.67 15.72 14.91 14.24 13.74 14.06 14.26 13.76 13.44 13.08 12.26 12.92 13.46 12.92 12.69 13.04 12.87 12.15 11.92 11.26 10.67 10.67 10.09 9.45 8.27 7.68 7.68 6.51 5.92 5.34 4.71 4.71 4.17 2.43 2.43 3.17 2.95 2.12 1.86 1.86 1.77 2.36 2.36 2.36 1.86 2.43 3.00 3.00 3.17 2.95 3.00 3.17 2.95 3.00 3.17 3.17 3.00 3.00 3.00 3.58 3.58 2.95 3.73 3.73 4.49 4.75 5.43 5.00 5.43 7.19 6.87 8.19 8.44 8.01 9.72 10.09 10.02 10.67 12.02 13.44 14.35 14.24 14.55 16.18 17.21 18.33 20.00 21.68 23.47 25.34 27.30 28.61 29.61 31.14 33.21 35.32 37.45 39.62 41.25 42.35 44.00 45.86 47.73 49.04 49.79 50.56 51.32 52.31 52.77 52.47 52.44 52.97 53.06 52.97 52.79 52.33 52.09 51.54 50.62 49.72 48.40 47.57 47.53 46.67 45.43 44.60 43.37 42.18 41.30 40.14 38.66 37.01 35.83 35.30 34.36 32.74 31.62 30.64 30.01 29.63 29.15 28.67 28.97 28.90 29.47 30.14 29.61 29.75 30.62 30.05 29.47 29.73 29.15 28.44 27.74 26.46 24.62 24.04 22.67 21.34 20.66 20.04 19.48 18.87 18.30 18.42 18.42 17.83 18.42 19.00 19.59 20.76 21.29 21.81 22.98 23.58 23.64 24.34 25.00 25.00 25.00 25.67 26.35 26.25 26.84 26.84 26.84 26.25 25.58 26.09 26.03 26.03 25.99 26.54 26.52 27.11 28.29 28.38 29.09 29.75 30.52 31.78 32.47 33.30 34.16 35.05 33.55 +24.56 26.93 27.13 27.94 28.83 30.24 31.62 32.50 33.54 35.16 36.06 37.01 38.52 39.05 39.00 38.93 38.91 38.91 38.91 38.91 38.91 38.91 38.32 37.72 37.13 36.55 37.13 37.71 36.54 35.95 37.12 36.54 35.95 37.12 36.54 35.94 35.95 35.36 35.40 35.43 34.36 33.26 32.67 31.78 31.45 30.60 30.01 30.10 29.53 29.11 29.26 29.66 30.00 30.00 30.49 31.47 32.41 33.50 34.67 35.67 36.18 36.40 37.16 37.96 38.48 39.02 39.85 41.16 42.48 43.45 43.25 44.16 45.49 45.89 47.17 48.07 49.02 50.00 51.02 52.66 53.78 54.33 53.78 53.74 53.15 52.07 51.48 48.68 45.92 44.76 42.18 38.77 35.79 32.94 30.42 27.34 24.59 22.28 20.62 19.59 18.61 17.72 18.35 18.03 17.89 17.95 17.13 18.49 18.30 17.00 17.49 17.69 17.40 17.13 17.95 18.83 19.02 19.88 20.92 21.42 22.52 23.60 24.16 24.76 25.93 27.11 27.13 27.13 27.72 28.90 29.49 29.49 30.64 31.24 30.64 31.24 33.08 33.08 33.08 33.77 33.26 33.33 33.33 33.33 32.09 31.58 31.00 29.67 29.09 27.27 25.40 24.78 22.99 21.29 20.70 19.76 19.44 19.02 18.63 18.08 17.89 17.89 17.89 18.87 19.44 19.88 20.83 21.83 22.40 23.64 25.45 26.09 26.93 27.74 29.15 30.03 30.37 31.52 31.96 32.97 33.75 34.00 34.53 35.08 34.87 33.86 33.67 32.69 30.90 29.94 26.87 23.84 22.95 19.17 14.64 12.26 7.66 4.29 5.27 8.27 11.26 15.72 18.87 20.88 24.22 26.47 28.33 31.12 32.06 33.02 34.32 34.89 35.16 35.48 36.06 36.06 35.94 36.42 35.67 35.01 35.67 35.01 33.13 32.54 32.49 31.28 29.52 28.93 28.34 26.54 25.37 24.81 23.64 21.87 20.83 19.08 18.61 18.87 17.16 16.21 16.41 16.64 15.81 15.57 15.57 15.57 15.57 14.25 14.87 14.73 13.44 12.61 12.26 11.93 11.44 10.14 8.99 8.70 8.19 7.68 6.87 7.38 7.66 7.66 8.70 10.02 10.82 12.26 14.26 16.38 17.33 20.28 23.57 25.22 28.17 29.94 30.41 30.90 32.69 33.67 33.05 32.74 32.45 31.89 30.05 28.48 26.93 25.17 23.31 21.03 19.67 18.35 17.09 16.59 15.72 14.91 14.24 13.74 13.24 12.15 11.67 12.15 12.75 12.13 11.61 11.93 11.74 11.01 10.75 10.67 10.67 11.20 10.62 9.43 9.45 8.92 8.33 7.75 6.59 6.01 6.15 5.80 4.49 3.73 3.95 4.60 2.95 2.43 3.73 3.73 3.58 3.00 3.00 3.58 3.73 3.73 3.73 3.95 4.49 3.95 3.73 3.73 3.33 3.73 3.73 3.33 3.73 3.73 2.95 3.00 3.00 3.00 3.54 3.00 3.58 4.71 4.12 3.73 4.25 5.07 4.60 5.00 6.26 6.37 7.38 7.45 7.75 8.92 9.45 9.45 9.59 10.29 11.18 12.69 13.97 15.09 16.75 17.96 18.79 20.07 21.35 22.88 24.86 26.39 27.70 29.53 31.62 33.75 35.36 36.77 38.77 40.07 41.18 43.24 44.54 45.66 46.96 48.45 49.94 50.90 51.11 50.45 50.68 51.16 51.13 50.88 50.53 49.85 49.05 48.79 48.59 48.06 47.62 47.53 46.70 45.43 45.00 44.59 43.75 42.92 41.70 40.44 39.20 37.65 36.44 35.71 34.66 33.18 32.04 31.65 31.36 30.64 30.01 29.63 29.15 29.17 28.97 29.47 29.49 28.97 29.67 30.42 29.94 28.78 29.02 29.15 28.44 27.16 25.89 25.09 24.42 22.58 21.34 21.29 20.62 19.53 18.94 18.89 18.35 17.25 17.77 18.35 18.35 19.48 20.07 20.07 21.21 22.42 22.42 23.05 23.75 23.93 24.04 24.62 25.77 25.77 25.89 25.89 25.89 25.89 25.19 25.77 25.67 25.58 26.09 26.03 26.03 25.99 26.54 27.13 27.11 27.11 27.72 28.93 29.61 30.26 31.50 32.36 33.75 31.10 +27.95 30.33 30.65 31.25 32.22 33.67 34.80 36.14 37.86 38.95 39.59 40.46 40.69 41.00 41.00 40.93 41.40 41.40 41.40 40.81 40.18 40.14 39.00 38.37 38.34 37.79 38.34 38.32 37.17 37.17 37.72 36.55 36.55 37.71 36.55 36.55 36.54 35.95 35.96 35.43 34.36 33.33 33.33 32.36 31.45 31.16 30.56 29.87 29.26 29.11 29.42 29.73 30.42 31.25 31.71 31.84 32.30 33.36 34.49 35.48 36.18 36.69 37.72 38.23 38.75 40.06 41.12 41.65 41.94 43.45 44.00 44.55 46.23 46.46 47.31 48.89 50.39 51.34 52.33 53.36 54.42 55.00 55.06 55.54 54.42 53.30 52.71 51.09 48.34 46.70 44.74 41.77 38.77 35.06 31.89 28.93 26.72 25.01 23.57 21.93 20.35 19.44 18.94 18.28 18.42 18.03 17.73 18.83 18.49 17.95 18.73 19.27 18.83 19.19 20.88 21.73 22.09 22.58 23.69 24.78 25.93 26.52 27.13 28.38 29.02 29.56 29.61 30.26 31.43 32.02 32.02 32.02 33.08 33.05 32.46 33.61 34.77 34.77 34.77 34.79 34.81 34.85 34.30 34.36 33.08 32.49 32.54 31.28 30.08 28.88 27.70 26.54 24.27 22.67 22.67 21.73 20.88 20.50 20.14 19.81 20.14 20.14 20.14 20.88 20.88 21.87 22.88 23.25 24.22 25.34 25.99 26.03 27.34 28.67 30.05 30.17 30.44 32.06 32.24 32.83 33.50 33.75 34.00 34.53 34.28 33.26 33.05 32.04 30.24 28.77 25.69 23.10 21.73 17.50 13.81 11.44 6.90 3.95 5.43 8.27 12.02 16.59 19.19 21.62 25.53 27.39 28.51 31.31 32.62 32.98 34.10 35.22 35.61 35.30 35.16 35.16 35.16 35.16 33.75 33.63 34.21 32.94 31.00 31.00 31.00 28.44 27.85 27.85 26.03 24.27 23.69 22.52 20.83 19.67 19.08 17.92 17.45 17.16 15.47 15.10 15.56 15.29 14.77 15.57 15.06 14.87 15.21 14.06 14.06 13.91 13.44 13.08 12.75 11.93 11.12 10.31 9.50 8.70 7.91 7.38 6.87 7.68 7.68 7.38 8.70 9.81 10.62 12.43 14.06 16.38 18.04 20.62 23.57 25.22 28.53 30.18 30.65 32.06 33.50 33.99 33.18 32.36 32.86 32.24 30.05 28.73 26.93 25.39 23.67 21.16 19.08 17.25 16.59 15.91 14.34 13.44 12.69 12.13 11.44 10.42 10.00 10.03 10.31 10.83 10.62 10.44 10.87 10.75 10.62 10.02 9.45 10.17 10.17 8.92 9.15 8.76 7.45 7.45 7.12 5.56 5.56 6.37 5.00 3.95 4.49 5.27 4.29 4.12 4.71 4.71 4.71 4.29 4.49 4.86 5.03 5.27 5.27 5.27 5.27 5.07 4.75 4.49 4.60 4.75 3.95 3.77 4.49 3.95 3.77 4.49 3.95 3.73 3.58 3.00 4.12 4.12 2.95 3.00 4.49 4.75 3.77 4.60 5.56 5.80 6.90 6.59 7.10 8.27 8.86 9.59 9.72 9.88 10.54 12.13 13.57 14.59 15.83 17.50 18.87 20.28 21.92 23.55 24.27 25.03 27.16 29.26 30.87 32.83 34.69 36.35 38.21 39.51 40.81 42.74 44.03 45.33 46.46 47.19 47.92 48.27 48.08 48.48 50.01 50.14 49.55 49.02 48.10 47.73 47.40 47.14 46.93 46.79 46.34 45.86 45.42 44.17 43.33 42.92 42.09 41.67 40.83 39.17 37.92 37.14 36.37 35.16 33.59 32.54 31.87 31.43 31.10 30.05 29.11 28.51 28.73 28.89 29.09 29.52 28.88 29.49 30.73 30.20 29.17 28.67 28.78 29.02 28.44 27.04 26.35 25.67 23.75 22.52 21.87 21.29 20.07 18.87 18.35 18.30 17.72 17.25 18.35 18.35 18.35 18.87 18.86 18.86 20.07 21.34 21.34 22.58 23.75 23.75 23.93 25.31 25.89 24.62 25.44 25.44 25.44 25.44 25.31 25.89 25.19 25.77 25.67 25.00 25.58 26.09 26.03 26.03 26.62 27.13 27.70 28.28 28.88 30.10 30.73 31.37 32.67 28.48 +32.30 33.99 34.71 35.42 36.44 37.43 38.01 39.02 39.94 40.63 41.77 42.59 42.45 43.11 43.01 43.01 43.42 42.76 42.69 41.59 40.93 40.81 39.70 39.70 39.64 39.05 39.59 39.00 37.83 37.79 37.75 37.17 37.75 38.32 37.17 37.17 37.17 37.17 36.58 35.43 34.36 33.92 34.00 33.05 32.73 32.46 31.31 30.64 30.31 30.42 30.73 30.65 31.27 31.68 32.11 33.05 33.50 34.06 35.14 36.12 37.29 38.10 39.11 39.83 39.83 40.59 41.64 42.43 42.72 43.88 44.76 44.55 45.66 47.19 48.32 49.88 51.77 52.70 53.67 54.67 55.70 55.70 55.70 56.76 55.70 55.12 53.95 52.33 50.76 48.65 46.47 43.31 40.44 37.53 34.53 32.04 29.82 27.11 25.06 23.57 21.93 20.35 19.44 19.00 18.86 18.30 19.00 19.76 19.30 20.01 20.58 21.29 21.73 22.67 24.42 24.92 24.81 25.37 27.13 28.28 28.90 29.52 30.14 31.37 32.17 32.84 33.42 34.10 34.68 34.68 34.68 34.68 35.67 35.67 35.67 36.70 36.65 36.58 36.55 36.55 37.13 36.54 35.94 35.96 34.77 34.18 34.18 32.41 31.24 30.66 28.97 27.85 26.35 25.44 24.87 23.88 23.11 22.21 22.21 22.68 22.68 22.44 22.98 23.31 23.11 23.88 23.72 24.04 25.51 26.58 27.11 27.70 28.93 29.61 30.42 30.52 31.20 32.73 32.30 32.62 33.73 34.14 33.81 33.75 33.21 32.97 32.45 30.92 29.42 27.13 24.87 22.28 20.07 16.26 12.92 10.14 6.15 3.77 5.92 8.92 12.87 16.41 19.81 22.76 25.39 27.47 29.11 31.52 32.83 32.83 34.14 34.69 34.69 34.49 34.10 34.49 34.32 34.32 32.87 32.30 32.46 31.01 29.59 29.59 29.02 26.93 26.84 26.25 23.75 22.58 22.09 20.25 19.08 18.61 17.45 16.30 15.87 15.47 14.91 14.91 14.55 13.97 15.06 15.57 14.25 14.06 14.73 14.73 14.06 13.74 13.74 13.24 12.26 11.79 11.44 10.31 8.99 8.50 8.19 7.66 7.45 7.66 7.38 7.68 8.50 9.32 10.96 12.61 13.91 16.03 18.50 21.45 23.57 25.22 28.53 30.18 31.47 33.23 33.71 33.71 32.88 32.54 33.50 32.36 30.42 29.02 26.35 24.78 23.21 20.14 17.73 16.76 16.67 14.78 12.39 11.92 11.18 10.54 10.14 10.00 10.00 9.66 9.22 9.32 9.72 9.72 10.09 10.02 10.03 10.09 9.72 9.32 9.32 8.98 8.70 8.70 7.38 7.19 7.93 6.26 5.56 6.87 6.59 5.43 5.34 6.01 5.34 5.30 5.92 6.01 6.01 6.15 6.07 5.80 6.15 6.07 6.07 6.07 5.56 5.56 5.89 5.56 5.07 5.07 5.07 5.07 4.75 4.25 4.75 4.75 4.25 4.49 3.95 3.73 4.12 2.95 2.95 3.54 3.73 3.77 3.33 3.77 4.75 5.27 5.80 5.43 5.92 7.07 7.86 9.15 9.88 10.54 11.44 12.26 12.98 13.76 15.09 16.75 18.15 19.30 20.62 22.67 23.99 25.31 27.04 27.80 29.45 32.06 33.92 35.22 36.59 38.16 39.59 41.74 43.46 44.30 44.88 45.45 46.16 46.46 46.96 47.89 48.08 47.60 47.21 46.64 46.19 46.10 45.77 45.49 45.28 45.12 44.63 43.77 43.33 43.34 42.92 41.70 40.44 39.59 38.77 37.94 37.09 36.27 35.48 34.65 33.88 33.23 32.54 32.04 31.14 29.53 28.48 28.14 28.73 28.58 28.67 28.97 28.93 30.05 30.10 28.97 29.02 29.67 29.09 28.67 28.31 27.04 25.77 24.62 23.25 23.10 21.83 20.66 20.07 18.27 17.10 17.69 17.72 17.77 18.35 18.35 18.35 18.30 18.86 19.45 20.63 21.29 21.34 22.67 23.35 22.67 23.35 24.87 25.01 24.16 24.87 25.01 25.01 25.01 25.01 25.01 24.87 25.44 24.73 24.04 25.31 25.77 25.00 25.58 26.75 27.27 27.16 27.72 28.90 29.47 30.06 31.84 32.49 26.93 +35.16 36.18 37.54 38.77 39.85 40.70 41.74 42.96 43.26 43.66 44.16 44.76 44.76 44.88 45.07 45.07 44.38 43.59 43.42 42.34 42.34 41.67 41.00 41.00 40.42 40.35 40.28 39.11 38.52 39.05 38.46 38.41 38.96 38.37 38.37 38.41 37.83 37.79 37.24 36.12 35.01 35.08 34.68 33.75 33.30 32.46 31.87 31.41 30.83 30.62 30.73 30.76 31.32 31.68 32.09 32.98 33.50 33.96 35.36 36.78 37.60 37.60 38.10 39.32 39.83 40.35 41.39 42.69 43.50 44.10 44.97 45.86 46.77 48.27 49.22 50.03 51.77 52.70 53.67 54.67 55.77 56.35 56.29 56.76 55.70 55.70 55.12 52.92 51.25 49.12 47.50 44.88 41.55 39.73 37.45 34.06 31.05 28.53 26.67 25.06 23.57 22.44 21.67 20.88 20.34 20.11 20.62 20.66 20.70 22.00 22.58 23.17 24.42 25.51 26.03 26.62 27.13 28.28 30.64 31.25 31.32 31.96 32.60 33.77 33.92 34.68 35.94 36.06 36.06 36.06 36.06 36.63 37.68 37.68 37.68 38.08 38.01 37.94 38.41 38.41 37.79 37.17 37.17 37.14 36.55 35.99 35.40 33.67 32.49 31.32 29.67 29.17 27.74 26.87 26.47 26.09 25.39 24.78 25.07 24.78 23.99 23.99 24.84 25.07 25.39 25.53 25.34 26.15 26.93 27.85 28.38 29.49 30.64 30.65 30.73 31.50 32.17 32.36 32.02 32.87 33.75 33.54 33.38 33.05 32.73 33.21 31.62 29.53 28.80 26.17 23.86 21.58 18.98 15.09 11.67 8.84 5.03 2.95 5.92 9.72 13.60 16.97 21.12 23.21 25.31 27.94 29.80 31.65 32.19 32.73 34.04 34.04 34.59 34.36 33.59 34.14 33.73 32.98 31.68 30.93 31.68 30.20 28.73 28.73 27.44 26.15 24.87 23.72 21.73 20.45 20.01 18.73 18.03 17.45 15.72 14.73 14.91 14.35 14.01 14.24 13.46 12.92 14.55 14.73 13.91 14.06 14.06 14.73 14.26 13.44 13.44 12.61 11.79 11.79 11.79 10.14 8.99 8.70 8.19 7.68 6.87 6.87 6.87 7.68 8.50 9.32 10.96 12.61 14.26 15.92 18.41 21.73 23.84 25.58 28.53 30.18 31.84 33.50 33.50 33.96 33.71 33.50 33.50 32.20 31.05 29.11 25.87 24.27 22.67 20.04 18.08 16.44 15.72 13.67 11.79 11.21 9.72 8.98 8.50 8.33 8.33 8.50 8.76 8.44 8.33 8.27 8.92 9.15 8.58 9.32 10.29 9.22 8.99 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25.31 25.89 25.89 26.35 27.34 27.85 27.85 29.02 30.73 31.24 25.17 +37.20 38.48 40.00 41.30 41.97 42.82 44.37 45.34 45.86 46.73 46.83 47.14 46.96 46.79 47.31 46.60 45.45 45.19 44.38 43.11 43.01 42.53 42.43 41.75 40.59 40.42 40.35 39.83 39.83 39.76 39.18 39.70 39.05 38.41 38.96 38.41 37.88 37.83 37.24 36.18 35.67 35.67 34.68 33.75 33.30 32.46 31.68 31.19 31.36 31.14 30.73 30.41 30.56 31.71 32.92 33.37 33.88 34.71 35.25 35.83 37.43 38.41 38.41 39.11 40.13 40.93 41.67 42.16 42.97 44.34 45.42 46.83 47.73 48.45 49.22 50.03 51.90 53.51 55.03 56.00 56.50 57.01 57.52 58.05 56.94 56.35 56.35 54.67 52.42 50.28 48.65 46.60 43.24 40.83 39.07 36.37 33.55 31.24 28.83 26.67 25.06 23.70 22.67 22.21 22.18 21.73 21.34 21.81 22.98 23.58 24.22 24.81 26.03 27.27 27.75 28.90 29.47 30.64 32.41 32.43 33.08 34.36 35.67 36.92 36.52 36.52 37.10 37.33 37.45 37.45 38.03 39.18 39.18 39.06 39.06 38.95 39.33 39.33 39.76 39.11 38.52 39.05 38.46 38.41 38.41 36.70 35.48 34.36 33.26 32.67 31.68 30.62 29.15 28.33 27.95 27.04 26.15 26.09 26.09 25.56 25.58 26.35 26.39 25.85 26.15 26.48 27.39 28.33 29.15 29.94 29.75 30.14 30.65 30.64 31.24 32.49 32.60 32.09 32.26 33.17 32.87 32.62 32.98 32.62 32.28 32.19 30.58 28.20 27.70 25.37 22.24 20.76 18.15 13.44 10.42 7.93 3.73 3.17 6.59 11.18 14.35 17.73 21.36 22.93 25.83 28.46 29.78 31.37 31.89 32.94 34.00 33.75 34.53 33.75 32.97 33.75 32.97 31.41 31.19 30.76 30.76 29.45 27.95 27.39 26.09 24.78 22.92 22.36 20.88 19.44 18.87 17.73 17.16 15.87 14.01 14.17 14.35 13.24 12.92 13.45 12.94 12.13 13.24 13.91 14.26 14.26 13.44 13.81 14.19 13.81 12.98 12.53 12.15 11.79 11.32 10.03 9.66 8.50 7.19 7.55 7.19 6.87 6.87 7.68 8.50 9.32 10.96 12.61 14.26 15.92 18.41 21.73 24.22 26.33 28.90 30.18 31.84 33.50 33.50 34.79 34.89 33.71 32.88 32.06 31.24 29.26 26.17 24.27 22.67 20.82 18.28 15.47 14.91 13.29 11.21 10.02 8.33 7.45 6.87 6.67 6.26 5.80 6.51 7.07 7.10 7.29 8.01 9.32 8.98 8.99 10.14 9.66 9.59 10.00 8.76 8.84 9.81 8.70 8.70 8.44 8.01 8.44 8.33 8.27 7.68 7.68 8.33 9.01 8.44 7.45 7.45 7.45 7.38 8.19 8.44 7.68 7.68 7.19 6.67 6.87 6.87 6.67 6.67 6.26 5.43 5.07 5.07 4.60 4.25 4.60 4.75 3.95 3.77 4.49 3.95 3.73 3.58 3.00 3.54 2.95 2.43 2.95 3.33 3.44 4.17 4.71 4.75 5.03 5.80 7.12 8.50 9.59 10.42 11.67 13.44 14.73 15.21 16.08 17.66 18.98 20.04 21.45 23.11 24.78 26.31 27.60 29.15 30.05 30.62 32.36 34.68 36.92 38.08 39.25 40.35 40.93 41.67 42.92 43.59 43.34 43.46 43.59 43.47 43.24 42.69 42.48 42.16 41.23 40.86 40.55 40.22 40.14 40.03 40.00 40.00 39.60 38.81 38.41 38.03 37.20 36.70 36.70 36.31 35.42 34.59 33.75 32.94 32.22 31.47 30.29 29.26 29.31 29.78 29.80 29.11 28.51 29.15 29.94 29.17 28.97 29.49 30.05 29.49 28.38 27.85 27.85 27.34 26.25 25.67 24.34 23.75 22.58 20.07 19.48 18.94 17.09 17.69 18.27 17.10 16.54 17.10 17.10 17.10 18.27 18.86 18.87 19.53 20.76 21.34 22.09 22.19 22.19 23.01 23.15 23.88 24.61 23.88 23.88 24.61 24.04 24.22 24.22 24.22 24.22 24.22 24.04 23.88 24.61 24.45 25.01 25.01 25.58 26.73 27.16 26.93 27.42 29.26 30.42 30.26 22.58 +40.47 41.30 42.10 43.46 44.91 46.25 47.29 47.22 47.43 48.28 48.59 49.04 48.64 48.45 48.48 47.03 46.31 46.16 45.45 44.74 44.49 43.91 43.34 42.64 41.49 40.69 41.00 41.08 40.59 39.92 39.83 39.76 39.18 39.70 39.05 38.41 38.46 37.94 37.29 36.77 36.33 35.75 34.68 33.75 33.88 33.19 31.87 31.52 31.65 31.14 30.73 30.90 31.47 31.77 32.11 33.34 34.65 35.09 35.25 35.36 36.31 38.24 39.23 39.73 40.73 41.23 41.67 42.16 42.69 44.28 45.65 46.29 47.17 48.45 49.22 50.03 51.45 53.05 55.03 56.00 56.50 57.01 57.52 58.11 58.18 57.59 57.01 56.50 54.93 52.70 50.50 48.45 45.49 42.49 39.94 37.45 34.80 32.36 30.29 28.38 26.67 25.12 23.86 22.93 22.55 22.18 22.31 23.69 24.78 24.78 25.93 27.11 28.29 29.49 30.08 31.24 32.41 33.61 34.79 35.43 36.12 37.35 38.67 38.85 38.48 38.60 39.06 39.18 39.44 40.16 40.73 40.59 40.02 40.46 40.46 40.46 40.80 40.69 40.59 39.92 39.83 40.35 39.83 39.76 39.11 36.92 36.25 35.67 34.68 34.10 32.47 31.45 30.60 29.81 28.90 27.47 26.93 27.16 27.14 27.14 27.42 27.94 27.67 26.88 26.93 27.80 28.70 29.07 29.87 30.17 30.52 31.50 31.96 31.87 32.41 33.00 33.05 32.49 32.60 33.42 32.94 33.17 32.87 32.06 31.31 30.64 29.80 27.16 26.35 24.27 21.12 19.61 16.38 12.09 9.59 6.87 3.58 4.29 7.75 11.93 14.78 18.19 21.08 23.19 26.62 28.73 29.53 31.14 32.45 33.48 34.00 33.21 34.00 33.21 32.94 33.47 32.15 31.36 31.11 30.33 29.56 28.78 27.25 25.93 25.39 23.86 22.36 21.80 19.94 18.63 17.33 16.21 15.87 14.01 13.24 13.79 12.69 12.39 12.39 12.13 12.26 12.26 12.75 13.08 13.81 14.19 13.81 13.44 14.26 14.26 12.61 12.61 12.61 11.79 10.96 10.14 9.66 8.37 7.19 7.68 7.68 6.87 6.87 7.68 8.50 9.32 10.96 12.61 14.26 16.38 18.98 21.45 23.84 27.16 29.73 30.18 31.84 33.50 33.50 35.16 35.16 33.50 33.13 32.41 31.24 29.59 26.80 24.05 22.44 20.83 17.66 15.10 14.35 12.49 10.29 8.86 7.68 6.72 5.56 5.00 4.75 4.75 5.30 6.51 7.29 7.45 7.66 8.99 9.66 9.59 10.00 10.00 10.00 10.42 10.14 10.02 10.54 9.52 9.32 9.32 9.15 9.59 9.45 9.43 8.92 9.01 9.50 9.59 9.32 8.98 8.98 8.98 9.22 9.50 8.99 8.50 8.01 7.55 7.93 8.01 7.19 6.67 6.67 6.67 6.67 6.26 5.43 5.00 5.07 5.07 4.60 4.25 4.75 4.75 3.77 3.17 3.00 3.00 2.36 1.86 1.86 2.12 2.95 2.43 2.95 4.17 5.03 5.27 5.56 6.72 7.93 8.76 10.03 11.32 12.43 13.74 15.37 17.13 17.95 18.49 20.14 21.80 23.31 24.45 25.44 26.46 27.62 29.26 31.00 32.75 34.42 36.12 37.29 38.46 39.05 40.18 41.40 42.10 42.76 42.43 42.64 42.76 41.87 41.60 40.99 40.49 39.80 38.81 38.91 38.91 38.56 38.48 38.37 38.33 38.33 38.37 38.03 37.20 36.82 36.82 36.31 35.48 35.09 34.61 33.75 33.33 32.92 32.15 31.39 31.01 31.24 30.73 29.53 28.73 28.24 28.14 28.58 28.78 28.67 29.09 29.52 29.47 28.87 28.29 28.34 27.80 26.62 26.09 25.58 24.34 23.10 21.93 20.07 18.87 18.30 17.69 18.27 17.69 16.51 16.51 17.10 17.10 17.69 18.27 17.69 18.30 19.53 20.25 20.34 21.03 21.73 21.73 22.44 23.15 23.88 24.04 22.92 23.67 24.22 22.92 23.86 23.86 23.86 23.86 23.86 23.86 23.67 24.22 24.22 24.78 25.17 26.31 26.87 26.87 26.73 27.74 29.47 30.05 29.36 20.34 +43.77 44.60 45.46 46.93 48.32 49.19 49.72 49.92 50.61 50.87 50.38 50.23 49.79 49.39 49.01 48.27 47.92 47.19 46.46 46.31 45.59 44.17 43.46 42.89 41.74 41.61 42.43 41.75 40.69 40.69 40.59 39.92 39.83 39.76 38.59 39.05 39.05 38.01 38.01 37.42 36.33 35.84 35.37 34.45 33.88 33.02 32.62 32.83 32.19 31.14 30.73 31.05 31.58 31.77 32.15 33.34 34.21 33.88 33.96 34.89 35.71 37.13 38.73 39.23 39.73 40.73 41.67 42.43 43.23 44.01 44.88 45.74 46.83 48.45 49.22 50.18 51.59 52.35 53.76 55.42 56.50 57.01 57.52 57.52 57.52 57.46 56.35 55.92 55.42 53.76 51.66 49.60 47.19 44.72 41.94 38.85 36.10 33.55 31.72 29.82 27.55 26.28 25.22 24.05 23.75 23.86 24.04 25.09 26.03 26.03 27.13 28.87 30.64 31.83 32.41 33.59 34.77 35.99 37.79 38.46 38.59 39.76 39.83 38.85 38.95 39.76 41.03 41.16 40.73 41.30 41.45 40.88 41.30 41.87 41.87 41.87 41.74 42.06 41.49 40.80 40.59 40.42 39.83 39.25 38.59 37.01 37.01 37.01 36.06 35.02 33.44 32.30 30.76 29.81 29.11 29.02 29.26 28.73 27.94 27.94 27.94 27.94 28.46 28.73 29.26 29.87 29.66 29.81 30.03 29.73 31.10 32.17 32.09 32.54 33.05 33.00 33.00 32.43 32.49 33.26 32.75 32.36 32.02 31.58 30.60 29.81 29.11 26.70 25.07 22.93 20.56 17.69 14.39 11.32 8.33 5.56 2.43 4.71 8.44 11.93 15.56 18.98 21.61 24.25 27.14 28.73 30.05 31.37 32.45 33.55 33.55 33.26 33.77 32.97 32.97 32.45 31.65 31.37 30.05 29.53 28.73 27.94 26.35 24.78 24.78 23.21 21.67 20.35 18.49 17.95 16.41 15.10 14.78 13.46 13.46 12.92 11.07 11.62 11.93 11.12 11.44 12.61 12.61 12.61 13.44 14.26 14.26 13.44 13.81 13.76 12.92 12.98 12.15 11.70 11.32 10.14 9.32 8.50 7.68 7.19 7.10 6.67 7.10 8.01 8.50 9.32 10.96 12.61 14.26 16.75 19.24 20.90 23.84 27.61 29.66 30.49 32.22 33.50 33.50 35.16 35.16 33.50 33.50 33.13 31.58 29.11 26.99 24.19 22.24 20.11 17.18 15.29 13.46 11.93 10.44 8.33 7.07 5.43 4.25 4.17 4.29 4.71 4.71 6.01 7.45 7.66 8.50 9.59 10.00 10.00 10.00 10.42 10.49 11.44 11.62 10.54 10.54 10.29 9.88 10.29 10.75 10.67 10.03 9.43 9.45 9.59 10.17 10.17 9.88 10.29 10.54 10.54 10.02 8.99 8.50 8.50 8.37 8.37 8.37 7.93 7.10 6.67 6.67 6.67 6.67 6.67 6.67 6.67 6.26 5.43 5.00 5.07 4.75 3.77 3.33 2.95 3.00 3.00 2.12 1.77 1.32 1.67 2.12 1.77 2.43 3.44 4.75 5.56 6.26 7.10 7.93 8.84 10.31 11.44 12.13 12.92 14.24 15.87 16.97 18.63 20.32 21.45 23.01 24.16 24.73 25.67 27.34 29.67 31.43 32.02 33.08 34.79 36.55 37.75 38.37 40.11 40.70 40.73 41.35 40.93 41.08 40.69 40.33 40.59 39.51 38.77 37.99 37.72 37.80 37.27 36.90 36.82 36.70 36.67 36.25 35.87 36.37 36.82 36.82 36.82 36.37 35.54 35.09 34.65 33.77 33.33 33.33 32.94 32.15 31.84 31.58 30.90 30.42 29.53 28.73 29.11 29.63 29.15 28.78 28.58 28.38 28.29 28.28 27.70 27.13 26.62 26.03 26.03 25.45 23.69 21.93 21.34 20.07 18.86 18.86 18.86 18.27 17.10 16.54 16.51 16.50 16.50 17.10 17.10 17.10 18.35 19.00 19.67 20.34 21.03 21.16 21.29 22.58 23.15 23.31 22.92 22.36 23.31 23.53 22.55 23.31 23.53 23.53 23.53 23.53 23.53 23.53 23.53 24.07 25.17 25.53 26.09 26.09 26.09 26.65 27.77 28.33 28.90 29.15 20.25 +44.17 46.25 48.45 49.98 50.44 50.83 51.34 52.04 53.00 52.97 52.44 52.23 51.76 50.77 50.14 49.39 49.01 48.27 46.96 46.46 45.33 44.03 43.59 42.45 41.87 42.89 42.76 41.37 40.69 40.69 40.69 40.11 39.92 39.83 39.33 39.76 39.11 38.01 37.42 36.25 35.67 35.17 34.68 34.32 34.01 33.02 32.24 32.07 30.87 30.05 30.42 30.73 30.90 31.84 32.60 32.11 32.11 33.43 34.71 35.61 36.07 36.18 37.27 38.73 39.23 39.41 40.35 41.67 42.98 43.75 44.34 45.42 46.29 47.89 49.22 49.78 51.59 52.93 53.97 55.51 56.50 57.01 57.52 57.46 56.87 57.46 56.94 55.26 54.67 53.67 52.12 50.05 47.45 44.76 42.68 40.49 38.48 36.12 32.86 30.56 28.90 27.50 25.89 25.50 25.83 25.61 25.17 26.01 27.34 27.34 28.38 30.65 32.41 33.00 34.20 35.96 37.14 38.34 39.55 39.64 40.35 41.00 40.50 40.69 41.49 42.18 42.31 41.87 41.45 41.87 42.02 41.77 42.59 42.59 42.02 41.87 42.45 42.89 41.74 41.61 42.06 41.37 40.01 39.33 38.75 37.68 37.68 37.10 35.48 34.45 34.16 33.36 31.87 31.31 30.64 30.33 30.05 29.26 28.73 28.73 28.73 28.73 28.99 29.26 30.05 30.10 29.87 30.56 30.93 31.89 33.17 32.36 31.58 32.54 33.08 33.05 33.00 33.00 33.00 33.08 32.02 31.00 31.32 30.87 29.15 28.33 27.59 25.39 23.21 21.08 19.00 15.87 13.24 10.14 7.10 4.60 1.67 5.43 8.76 12.69 16.64 19.51 22.40 24.51 26.39 28.80 30.62 31.14 31.94 33.05 33.35 33.86 33.55 32.74 32.24 31.73 32.24 30.62 29.31 29.31 27.99 27.49 25.87 24.27 24.27 22.67 20.56 19.24 17.66 17.13 15.81 14.24 14.24 12.92 12.13 11.93 10.82 10.82 11.44 10.96 10.96 12.15 12.53 12.98 13.44 13.81 13.76 13.33 13.33 13.33 13.33 13.33 12.09 11.70 11.26 10.00 9.59 8.37 7.55 7.19 6.87 6.87 7.68 8.01 8.37 9.66 10.96 12.61 14.26 16.75 19.24 21.35 24.76 27.24 28.83 31.32 33.05 33.50 33.50 35.16 35.16 33.50 33.50 33.50 31.84 28.53 26.87 24.87 22.06 19.12 17.00 15.37 13.45 12.15 9.88 7.86 6.51 4.29 3.44 3.33 4.17 4.71 4.75 5.80 6.87 8.01 9.59 10.00 10.00 10.42 10.49 11.44 11.62 12.13 12.65 11.38 11.18 11.18 11.01 11.44 11.92 11.21 10.61 10.62 10.67 10.75 11.44 11.01 10.44 10.62 10.54 10.54 9.81 9.32 9.32 9.32 9.66 9.59 8.76 8.33 7.93 7.10 6.67 6.67 6.67 6.26 5.43 5.00 5.00 5.00 5.00 4.60 3.77 3.33 3.33 3.33 3.17 2.43 1.67 1.32 0.59 1.32 1.77 2.12 2.95 3.33 3.77 5.00 6.26 7.19 8.50 9.81 10.54 10.82 11.86 13.24 14.35 15.47 17.16 18.87 19.44 20.45 22.09 23.25 23.93 25.58 27.80 28.93 29.49 30.08 31.83 34.18 35.96 36.54 37.71 38.89 38.89 39.48 39.48 38.93 39.00 38.59 38.75 38.37 37.16 37.09 36.77 36.37 35.67 34.81 34.89 35.16 35.04 35.00 35.01 35.04 35.09 35.16 35.16 35.16 35.16 35.16 34.71 33.88 33.37 32.92 32.09 31.68 31.71 31.39 30.65 30.41 30.73 30.42 30.05 30.10 30.01 29.63 29.15 28.78 28.58 28.38 28.29 27.11 26.52 26.54 25.99 25.45 24.27 23.05 21.83 21.29 20.07 18.86 18.86 18.27 17.09 16.50 16.51 16.54 16.51 16.50 17.10 17.10 17.10 18.35 19.00 19.67 20.34 20.45 20.01 20.88 22.36 22.36 22.36 22.36 22.36 22.55 22.98 22.98 22.76 22.98 23.21 23.21 23.21 23.21 23.21 23.21 23.99 24.78 24.78 24.78 25.31 25.61 26.70 27.80 28.14 29.26 29.63 19.48 +45.43 47.17 49.42 50.44 50.91 52.63 53.78 53.66 53.80 53.52 52.97 52.72 52.23 51.45 50.77 49.79 49.39 48.64 47.53 46.96 45.66 44.54 44.03 43.31 43.31 43.02 41.74 41.03 40.80 40.69 40.11 38.95 39.33 39.83 39.33 39.25 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32.46 31.50 30.56 30.64 31.36 31.14 30.73 30.73 30.41 30.56 31.71 32.92 33.33 33.37 33.88 35.16 36.07 36.18 36.78 37.75 38.91 39.62 39.62 40.35 42.16 43.50 44.10 44.76 45.47 46.79 47.76 49.60 51.08 52.02 54.09 54.67 55.26 56.94 58.05 57.46 56.82 56.76 55.70 54.60 53.43 51.75 49.60 48.07 46.16 43.80 42.11 38.97 36.44 34.79 33.05 31.24 29.27 27.92 26.78 25.99 25.83 26.15 27.60 28.78 29.26 31.43 33.08 33.63 35.36 37.12 38.30 38.90 40.07 40.68 40.73 41.35 41.45 42.10 42.25 42.43 42.53 41.74 42.45 43.59 43.31 42.33 42.74 43.31 42.33 41.77 42.59 42.45 41.87 42.31 41.74 41.03 40.91 40.46 39.76 39.06 38.60 38.03 36.88 35.30 34.59 33.44 32.06 31.68 30.97 30.64 30.33 29.78 30.05 30.57 30.33 30.33 30.33 30.85 31.10 30.31 30.58 31.96 32.83 32.62 32.62 32.87 33.30 33.17 32.94 33.26 32.60 32.49 31.84 31.23 31.25 30.69 30.14 29.67 28.67 26.93 26.46 24.87 22.75 21.06 18.63 16.41 14.24 11.33 6.87 4.17 2.36 3.58 6.59 11.18 14.55 17.66 20.56 22.67 24.78 27.42 29.02 29.61 31.23 32.54 33.35 33.05 33.05 33.67 32.36 30.73 31.87 31.72 29.26 28.93 28.44 27.13 26.31 25.50 23.86 22.55 21.58 19.45 18.15 16.03 15.21 14.73 13.44 12.15 11.70 11.32 10.49 10.42 10.00 10.00 10.00 11.67 11.67 11.67 13.33 13.33 13.33 13.33 13.33 13.33 13.33 13.33 13.33 13.33 11.67 10.42 10.49 9.66 9.20 8.37 7.10 7.10 7.19 7.68 8.19 8.70 9.81 10.96 12.61 14.73 16.85 19.69 21.73 24.22 27.99 29.73 30.56 32.15 34.21 34.65 34.26 35.09 34.71 33.50 32.22 31.32 29.66 26.78 24.67 21.73 18.87 17.33 15.37 13.24 11.44 8.50 6.07 4.49 3.58 2.64 2.12 2.36 4.75 5.89 6.72 7.10 8.33 10.42 10.49 11.44 12.75 11.93 12.43 13.45 13.71 13.46 13.24 12.87 13.29 13.76 13.02 13.02 12.37 12.39 12.39 11.92 12.02 12.02 11.18 11.18 11.18 10.54 10.54 10.14 10.14 10.14 9.59 8.76 8.33 8.33 7.93 7.55 8.01 8.01 7.10 6.37 6.07 6.26 6.26 5.43 5.07 5.07 4.60 3.77 3.33 3.33 3.33 3.33 2.95 2.12 1.67 1.67 1.77 1.32 0.59 1.77 2.43 3.73 5.03 5.80 6.90 8.01 9.15 9.88 11.18 12.87 14.01 14.73 15.72 16.67 17.25 19.00 20.76 21.34 22.42 23.58 24.76 25.93 27.11 28.90 29.49 31.32 33.77 34.36 34.95 36.77 37.35 36.70 37.29 37.79 38.32 37.71 37.14 37.20 36.25 35.37 34.45 33.36 32.19 31.89 32.24 32.06 31.84 32.15 32.92 32.92 32.54 33.05 33.50 33.50 33.13 32.30 31.84 31.84 32.22 32.60 32.54 32.92 32.92 32.09 31.27 30.56 30.41 30.08 29.26 29.53 29.52 28.48 28.14 28.33 28.58 28.78 28.09 27.34 26.62 25.99 25.93 25.34 24.16 23.58 22.42 20.63 20.63 20.04 18.27 17.09 16.50 16.50 16.50 15.91 15.32 15.91 16.50 16.51 16.54 17.13 17.77 17.83 18.50 19.30 19.44 19.44 20.88 21.80 20.69 20.90 21.67 21.67 21.67 22.44 22.68 21.61 22.40 22.93 21.61 22.67 22.67 22.67 23.99 24.25 24.78 24.78 24.78 25.56 26.35 27.14 28.46 28.73 29.02 30.10 18.35 +48.79 50.34 52.33 53.51 54.46 55.41 55.41 55.90 56.50 55.69 54.89 54.56 54.02 53.23 52.44 51.69 50.14 48.59 47.93 47.17 46.07 45.31 44.91 44.54 43.80 43.63 43.47 42.33 41.60 41.16 40.46 40.46 40.80 40.11 38.95 38.27 38.08 36.92 36.33 36.33 35.75 34.68 33.63 33.52 33.17 31.89 30.93 31.12 30.97 30.33 30.05 30.42 30.73 30.41 30.18 30.56 31.27 31.67 32.11 33.37 34.65 35.25 35.36 35.83 36.78 37.60 38.30 39.11 39.83 40.32 41.40 42.79 44.00 44.72 45.66 47.03 48.32 49.81 51.44 53.58 54.67 54.60 55.00 55.50 55.50 55.50 55.54 55.06 54.47 53.36 52.26 50.09 48.07 46.47 43.31 41.77 40.44 38.08 35.85 34.06 32.36 30.29 28.78 27.94 27.47 27.19 27.16 28.33 29.59 30.52 32.02 33.67 34.85 36.55 38.30 39.48 40.07 41.25 41.85 41.90 42.53 42.63 43.27 43.42 43.01 42.53 42.18 42.89 42.89 41.87 41.60 42.59 42.59 41.77 41.77 42.02 41.87 41.87 41.16 40.46 40.46 40.33 39.76 38.73 38.48 37.91 37.45 36.44 34.89 34.16 33.59 32.80 31.87 30.97 30.64 30.33 30.31 30.57 30.05 29.53 29.53 30.05 30.57 30.05 29.78 30.87 31.73 31.52 31.31 32.06 32.87 32.73 32.02 32.36 33.33 32.75 32.02 31.32 31.25 31.23 30.65 29.49 28.38 27.34 26.25 25.19 22.88 21.29 19.76 17.33 14.91 12.15 8.99 5.43 2.95 1.67 4.12 7.29 12.15 14.78 18.19 21.08 22.67 25.58 27.70 28.50 29.82 31.94 32.24 32.86 33.67 32.54 32.86 32.36 30.73 31.05 30.90 29.59 28.77 27.95 26.65 26.17 25.34 23.22 21.92 20.62 18.87 17.58 15.92 14.64 13.76 13.33 11.67 11.67 11.67 10.00 10.00 10.00 10.00 10.00 11.26 11.70 11.70 12.98 13.44 13.44 13.44 13.81 13.76 13.33 13.33 13.33 13.33 11.67 11.26 11.32 9.32 8.84 8.37 7.19 7.68 7.68 7.68 8.50 8.50 9.32 11.44 13.24 15.37 17.00 18.98 21.81 24.76 28.07 30.10 30.56 31.84 33.88 35.09 34.71 34.71 34.65 33.37 32.15 30.93 29.66 26.72 24.22 21.73 19.24 17.58 15.09 12.61 10.96 8.50 6.07 4.49 3.73 1.86 1.77 2.12 5.00 5.83 6.67 7.93 8.84 10.96 11.44 12.43 12.94 12.65 13.71 14.24 14.24 14.01 14.35 14.01 13.87 13.87 13.08 13.02 12.98 12.39 12.39 12.43 12.02 12.02 11.74 11.93 11.38 10.54 10.54 10.62 10.96 10.49 10.00 10.00 10.00 9.59 8.84 8.01 7.55 7.68 7.19 6.87 6.87 6.26 5.56 5.07 5.07 5.07 5.07 4.75 3.77 3.33 3.33 2.95 2.43 1.86 1.32 0.59 1.67 1.67 1.32 2.43 2.95 4.12 4.75 6.01 7.29 8.44 9.59 10.29 11.44 12.02 13.08 14.34 15.60 16.67 17.77 19.48 20.07 20.66 22.40 23.57 24.17 24.78 26.62 28.44 28.97 30.84 32.84 33.42 34.59 36.42 36.33 36.25 37.42 37.94 37.24 36.58 36.54 35.95 34.85 33.33 32.94 32.30 31.19 30.83 30.33 30.08 30.18 30.56 31.27 31.27 30.88 31.32 31.84 31.84 31.94 31.94 31.84 31.84 31.77 32.15 32.54 32.09 31.67 31.67 31.68 31.77 31.58 30.76 30.41 30.62 30.05 29.78 30.10 30.01 29.07 28.44 27.62 26.35 26.09 26.03 25.40 24.17 23.57 22.98 21.21 20.63 20.63 18.86 17.09 16.50 16.50 16.50 15.91 15.32 15.91 15.91 15.92 15.92 15.95 16.67 16.67 17.92 18.50 18.61 19.44 19.44 20.32 20.69 20.69 21.25 21.45 21.67 21.67 21.90 21.61 21.08 22.67 22.67 21.08 22.67 22.67 22.67 24.27 24.27 24.27 24.27 24.27 25.58 26.62 27.14 28.73 29.26 29.52 30.05 17.34 +49.28 51.86 53.78 54.46 55.42 56.22 56.22 56.40 56.29 55.48 54.67 54.32 53.76 52.97 52.18 51.13 50.09 49.30 48.59 47.05 46.29 46.29 45.52 44.91 44.16 43.24 42.33 41.77 41.77 41.60 41.30 40.59 39.76 38.95 38.37 37.79 37.59 37.01 36.42 35.75 34.59 34.00 33.63 33.63 32.47 30.60 30.76 31.50 30.42 29.02 28.73 29.02 29.11 29.26 29.82 30.18 30.05 30.42 31.67 32.51 32.54 33.50 34.53 34.53 35.00 36.29 37.29 38.10 39.03 39.27 39.55 40.93 42.69 44.16 45.10 46.31 47.62 48.65 50.28 52.33 53.36 53.83 54.33 54.91 55.50 55.50 54.96 54.37 53.78 52.71 52.12 49.92 47.28 46.12 43.46 40.88 39.51 38.21 35.90 33.21 31.43 30.41 29.66 28.75 28.17 27.80 27.67 28.51 29.59 30.52 32.60 34.85 35.43 37.14 39.48 40.07 40.66 41.84 42.43 42.46 43.08 43.16 43.80 43.34 42.34 42.43 42.06 42.06 41.61 41.16 41.30 41.87 41.30 40.31 40.88 41.45 41.30 40.59 39.44 39.76 39.76 39.18 38.48 37.45 37.33 36.63 36.06 35.16 34.32 34.32 33.75 32.24 31.31 30.97 30.64 30.33 30.05 29.78 29.53 29.53 29.53 29.78 29.78 30.05 31.10 31.65 31.19 30.97 31.31 31.50 31.58 31.45 31.45 32.36 32.75 31.58 31.50 31.43 30.73 30.65 30.05 28.28 27.13 26.62 25.51 23.25 21.61 19.88 17.73 15.66 12.69 9.75 6.87 4.60 2.12 2.36 5.34 8.44 12.69 15.56 18.98 21.61 23.46 26.35 27.94 28.73 30.33 31.43 31.73 32.54 33.67 32.36 32.36 32.36 30.73 30.73 30.24 29.26 28.77 27.95 25.83 25.22 24.67 22.56 21.73 20.07 18.41 17.58 15.47 13.76 13.33 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42.30 43.63 44.88 46.34 47.38 48.25 49.78 51.43 52.53 53.11 53.70 54.26 54.26 53.67 53.09 52.53 51.39 50.80 49.13 46.42 45.34 43.80 41.16 38.61 37.27 36.00 33.75 31.65 30.08 28.90 28.33 28.07 27.62 27.94 28.90 29.73 31.10 33.77 35.43 36.02 38.32 39.48 39.48 40.68 41.85 42.43 42.43 43.03 43.08 43.12 42.04 41.59 41.67 40.69 40.69 40.80 41.03 41.16 40.59 39.44 38.87 39.88 40.59 40.16 39.44 38.87 39.18 38.48 37.33 36.63 36.06 36.06 36.06 35.48 33.88 32.87 32.87 32.46 31.68 30.76 30.21 29.87 29.02 28.48 28.73 28.73 28.73 29.26 29.26 28.99 29.52 30.05 30.33 30.64 30.97 31.31 31.68 31.89 31.58 31.45 32.36 32.26 31.10 31.50 30.92 30.26 30.10 28.88 27.11 25.93 25.40 23.69 21.93 20.83 18.50 16.18 14.01 11.18 8.21 5.27 3.33 1.77 3.58 6.72 9.72 13.60 16.97 20.35 22.44 23.99 26.35 27.94 28.73 30.33 31.14 31.94 32.74 33.05 32.04 32.36 32.36 30.24 30.08 29.59 28.77 28.29 27.34 25.22 23.93 23.84 22.56 21.29 20.02 18.35 17.09 15.00 13.33 13.33 12.92 11.70 10.87 10.49 10.14 10.14 10.14 10.14 10.14 10.96 11.44 11.93 13.08 13.44 13.44 13.81 14.19 14.64 14.26 13.81 13.76 13.33 11.67 11.67 11.67 10.00 9.59 8.37 7.55 8.01 8.19 7.91 8.70 10.02 10.54 12.13 13.74 15.37 17.00 18.63 21.92 25.22 27.34 29.46 31.47 32.67 33.50 33.88 35.09 34.71 33.50 33.50 32.22 30.49 29.21 26.72 24.22 21.73 19.24 17.58 15.09 12.15 10.42 8.33 6.26 4.75 2.43 0.59 1.67 3.33 5.00 6.67 7.10 8.84 10.14 11.44 13.24 13.74 13.74 13.74 14.25 15.29 15.56 15.10 14.91 14.91 14.73 14.45 13.67 13.67 13.67 12.37 12.98 13.02 12.02 12.02 12.02 11.18 10.54 10.54 10.54 9.81 9.32 9.66 9.59 8.76 8.37 8.50 8.19 7.68 7.68 7.66 6.59 6.07 6.35 5.80 5.27 4.75 4.25 4.49 3.95 3.77 4.49 3.95 3.17 3.00 2.64 2.36 1.86 1.86 2.95 2.95 3.17 3.73 4.29 4.75 5.92 7.10 7.66 8.84 9.43 10.02 11.20 11.80 12.98 14.14 15.33 16.50 17.10 18.28 18.87 20.07 21.34 21.34 22.58 24.42 26.35 27.04 27.74 29.73 31.58 32.16 32.87 34.89 36.02 35.87 35.73 36.18 35.94 35.75 34.95 34.26 33.61 32.46 30.92 29.36 28.58 27.80 27.67 27.99 28.29 28.44 28.35 28.75 29.59 30.05 30.18 30.18 30.56 31.39 31.84 31.77 31.77 31.77 32.11 32.51 32.09 31.67 31.68 31.32 30.56 30.65 31.24 31.05 30.42 29.53 28.73 28.24 27.80 27.77 27.44 26.31 25.44 24.51 23.75 23.10 21.87 21.22 20.63 20.04 18.28 17.10 17.68 16.51 15.92 15.92 15.92 15.91 14.73 14.73 15.92 15.33 15.37 16.67 16.67 17.45 17.58 17.58 18.46 18.63 19.19 19.76 20.14 20.58 20.35 20.35 20.82 21.08 21.08 21.08 22.15 22.44 21.35 21.35 22.44 23.24 22.74 23.05 23.86 24.68 25.17 26.17 27.49 27.49 28.80 29.82 30.05 31.10 18.03 +50.71 52.47 53.28 54.42 55.73 56.22 56.22 56.40 56.40 55.90 55.28 54.67 53.87 53.28 52.48 51.45 50.61 49.28 47.96 47.17 46.43 45.42 44.88 44.97 44.21 43.11 42.49 40.99 40.07 39.74 39.02 38.87 38.87 38.16 36.75 36.06 36.42 35.75 34.68 34.68 34.68 33.63 32.36 31.10 30.05 29.73 29.46 28.90 27.95 27.25 26.93 26.88 27.19 27.49 27.13 27.34 28.07 28.44 28.38 28.75 29.61 30.10 31.01 32.30 32.88 33.50 34.49 35.17 35.60 36.63 37.45 38.30 39.52 40.25 41.60 43.46 44.49 46.01 47.44 47.96 50.17 51.30 51.30 51.86 51.85 51.85 51.86 51.88 51.88 50.71 49.55 48.45 46.27 44.59 43.01 41.49 38.87 36.35 35.04 33.81 31.89 30.24 28.99 27.92 27.16 27.13 27.94 29.11 30.60 32.36 33.77 34.81 35.96 37.71 38.90 40.07 41.26 41.87 42.46 42.43 42.43 42.43 41.87 40.77 40.81 40.93 40.59 40.69 40.11 39.53 39.06 38.60 38.73 38.87 39.18 38.48 37.45 37.45 37.45 37.33 36.63 36.06 36.06 36.06 35.48 34.79 33.63 32.02 31.45 31.45 31.01 30.20 29.45 29.45 29.11 28.48 28.48 28.48 27.94 27.94 28.73 28.73 28.46 28.48 28.48 29.33 29.87 29.66 29.81 30.76 31.32 31.16 31.45 31.78 31.10 30.52 30.92 29.75 29.09 28.38 27.13 25.93 24.76 24.17 22.42 20.70 19.00 16.67 14.34 12.02 9.72 6.72 3.73 1.67 1.67 4.75 8.01 11.18 14.91 18.08 20.90 22.44 23.99 26.35 27.94 29.26 31.10 31.62 31.89 32.45 32.24 31.73 32.54 32.04 29.42 29.26 29.59 28.29 27.34 26.87 25.22 23.57 23.10 21.73 20.42 20.00 18.33 16.26 15.02 13.76 12.92 12.15 11.79 10.96 10.14 10.14 10.14 10.14 10.14 10.14 10.62 11.12 11.93 13.24 13.74 14.06 14.73 14.26 14.26 14.26 14.26 14.26 13.44 12.15 12.09 11.67 10.00 10.00 8.76 8.50 8.70 8.70 8.44 8.98 10.54 10.54 12.13 13.74 15.37 17.49 19.30 22.24 25.50 27.95 29.59 30.76 32.30 33.50 33.50 34.71 35.09 33.88 33.05 31.77 30.10 28.83 26.72 24.22 21.73 19.24 17.13 14.59 12.09 10.03 8.37 6.72 4.60 1.67 0.00 1.67 3.33 5.00 6.67 7.93 9.66 10.62 11.93 13.08 13.91 14.06 14.25 15.29 15.81 15.81 15.56 15.10 14.91 14.91 14.73 13.76 13.67 13.67 12.98 12.96 12.39 11.92 12.02 12.02 11.18 10.54 10.54 10.54 10.14 9.66 8.84 8.37 8.01 7.55 7.68 7.91 7.68 7.38 7.45 6.90 5.80 5.59 5.59 5.27 5.27 4.75 4.29 3.73 2.95 3.00 3.00 3.00 3.00 2.43 3.00 2.43 2.12 3.33 3.33 3.77 3.95 5.03 5.43 6.01 7.29 7.75 8.92 9.45 10.62 11.80 12.37 13.55 14.14 15.37 16.59 16.51 17.72 18.94 19.53 20.83 21.42 22.67 24.04 25.44 26.73 27.87 29.87 31.32 31.89 33.02 35.05 35.78 35.61 36.02 35.87 35.73 35.48 34.59 33.77 33.08 31.24 28.97 28.58 27.74 26.65 26.39 26.10 25.99 26.87 27.94 28.33 28.33 28.78 29.73 30.18 30.49 31.32 31.84 31.39 30.93 31.32 31.68 31.68 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43.80 41.67 40.69 39.18 36.59 34.10 32.83 31.36 29.61 28.29 27.11 26.72 27.13 27.94 28.56 29.30 31.00 32.54 34.20 35.36 36.55 38.37 39.55 40.73 41.32 41.94 41.90 41.26 41.26 40.66 40.11 40.14 39.59 38.52 38.01 37.50 37.50 37.01 36.52 36.52 36.63 36.63 35.37 34.68 34.68 34.68 34.68 34.68 34.68 34.68 34.68 33.63 32.94 32.36 31.45 31.45 30.87 29.73 28.73 28.51 28.70 27.80 26.93 26.93 26.93 26.88 27.67 27.94 27.14 27.67 28.48 28.48 29.11 29.11 29.11 29.81 30.60 30.60 30.60 31.45 31.32 30.62 30.52 30.42 29.26 28.00 26.68 25.99 25.37 24.19 22.99 21.21 18.87 16.59 14.34 12.02 9.72 7.45 5.03 2.43 0.00 2.95 6.51 9.59 12.87 16.21 18.83 20.90 22.98 24.84 26.93 28.48 30.05 31.62 31.62 31.62 31.89 31.65 31.94 32.24 31.23 29.11 29.11 29.42 27.62 26.65 26.05 25.12 23.47 22.18 20.90 19.62 19.59 17.92 15.47 15.09 14.26 12.26 11.93 11.93 10.82 10.54 10.54 10.54 10.29 10.62 11.38 11.07 11.62 11.93 12.43 13.74 14.87 15.21 14.39 14.73 14.26 14.26 14.26 13.44 12.98 12.92 12.09 10.49 10.14 9.81 9.50 8.70 8.70 8.70 9.22 10.54 11.07 12.92 14.24 15.81 18.20 19.81 22.24 25.50 27.47 28.99 30.65 31.94 33.13 33.50 33.88 35.09 34.26 32.15 31.71 30.05 28.38 26.72 23.78 21.25 19.59 16.69 13.76 12.92 10.49 8.50 6.37 3.77 1.67 0.00 1.67 3.33 5.00 6.67 8.33 10.42 11.32 11.79 12.61 14.73 14.87 15.06 16.08 15.81 15.81 15.81 15.56 15.10 14.91 14.91 14.01 13.76 13.67 13.02 12.39 11.79 11.80 11.92 11.44 10.44 10.29 10.54 10.02 9.32 9.20 8.76 8.37 8.50 8.01 7.38 7.12 6.87 7.12 7.45 7.45 6.90 6.15 5.59 5.03 4.49 4.49 4.75 3.73 3.17 3.00 3.00 3.00 3.00 2.95 3.00 3.17 2.95 3.33 3.33 4.60 5.27 5.59 5.59 6.15 8.01 8.44 9.59 10.09 10.67 11.92 12.43 13.60 14.15 15.37 16.67 16.59 17.18 18.50 19.08 20.34 21.03 21.73 23.72 25.01 26.47 27.77 29.07 30.56 31.87 32.98 34.29 35.60 35.96 35.78 35.05 35.61 35.30 33.75 32.94 32.09 30.69 29.49 29.09 27.74 26.47 25.39 25.03 25.37 25.34 25.50 26.68 27.92 28.35 28.83 29.73 30.05 30.05 30.18 30.56 31.32 31.71 31.68 32.09 32.92 33.33 32.92 32.54 32.60 31.84 30.65 30.41 30.24 29.42 29.31 29.26 28.73 27.70 25.93 25.34 25.34 24.61 23.58 22.31 21.61 20.83 19.59 18.94 17.77 16.59 16.51 15.92 15.33 14.73 14.14 14.14 14.14 14.78 14.84 14.15 15.37 16.67 16.67 16.67 17.45 17.58 17.58 18.46 18.83 19.04 19.59 19.59 20.04 19.51 19.51 21.08 21.08 21.08 21.08 21.35 21.12 21.42 22.24 22.24 23.05 23.86 23.86 24.36 25.67 26.80 27.62 27.80 29.11 30.73 31.23 32.24 17.89 +50.91 53.36 54.47 54.97 54.59 54.59 55.28 55.41 55.09 54.59 54.10 53.47 52.66 51.54 50.23 49.42 48.82 48.53 47.73 46.14 45.33 44.82 44.04 42.72 41.70 41.25 40.49 40.28 40.07 39.69 38.95 38.04 37.16 36.59 36.02 35.73 35.48 34.79 33.63 32.94 32.26 31.10 30.52 30.05 29.02 28.31 27.74 26.31 25.34 25.53 25.39 25.07 24.78 24.27 24.56 25.17 25.69 26.41 26.78 27.11 27.92 28.38 28.44 28.90 29.46 29.59 30.24 31.14 31.62 32.15 33.50 34.49 35.05 35.61 37.45 39.43 40.01 42.04 44.26 44.82 45.96 47.74 48.33 48.92 50.10 50.69 50.10 49.53 49.55 48.33 47.14 45.97 44.23 43.12 40.93 39.33 38.27 36.18 33.75 31.87 30.10 28.22 27.13 26.72 26.28 25.83 26.35 27.25 28.73 31.00 32.54 33.61 34.77 36.58 38.41 39.05 39.70 40.28 40.87 40.87 40.18 40.14 39.52 38.90 38.31 37.14 35.99 35.43 35.48 36.12 35.67 34.59 33.92 33.84 33.33 32.84 33.33 33.33 33.33 33.33 33.33 32.75 32.09 32.02 31.00 31.00 31.00 30.05 30.05 29.02 27.87 27.87 27.60 26.65 25.73 25.39 25.39 25.39 25.61 26.39 26.63 26.35 26.63 26.93 27.47 28.35 28.35 28.90 29.81 30.03 29.87 29.87 30.17 30.05 29.47 28.67 27.92 27.34 26.84 26.25 25.51 24.81 23.05 20.66 18.86 16.50 14.74 13.02 10.67 8.33 6.01 3.73 0.83 2.36 5.34 8.33 10.75 14.01 17.33 19.94 21.80 23.86 25.93 27.80 29.11 30.10 31.36 31.62 31.62 31.62 31.62 31.89 31.65 30.62 28.80 29.11 28.61 26.80 25.83 24.87 24.76 23.01 21.73 20.90 18.79 18.33 17.13 15.09 14.73 14.06 12.13 12.13 12.13 10.54 10.54 10.29 10.62 10.44 10.44 11.93 12.15 12.39 12.39 12.65 13.74 15.37 15.37 14.87 15.21 14.39 14.73 14.64 13.76 13.33 13.33 12.92 11.32 10.14 10.14 9.32 8.99 9.22 8.98 9.75 11.07 12.15 13.46 14.78 16.64 18.19 19.52 22.24 25.50 27.13 28.77 31.24 32.06 32.88 33.71 33.71 34.89 33.50 31.77 31.77 30.10 28.44 26.33 23.39 20.90 19.62 16.69 13.81 12.98 10.87 8.37 5.43 3.33 1.67 0.00 1.67 3.33 5.00 7.10 8.84 10.96 11.79 12.26 13.24 14.87 15.21 15.69 16.68 16.08 15.81 15.81 16.34 15.87 14.91 14.91 14.73 13.87 12.60 12.02 11.92 11.80 11.79 11.21 10.17 9.72 9.32 8.98 8.70 8.50 8.37 8.33 8.01 7.68 7.68 7.66 6.90 5.80 5.59 6.01 6.01 6.01 6.01 5.43 4.75 3.73 3.73 4.71 3.73 3.73 3.58 3.00 3.00 2.95 3.17 2.64 3.44 3.77 3.33 3.77 5.07 5.89 5.56 5.80 6.90 8.76 9.15 9.72 10.29 10.75 12.02 12.02 13.29 13.76 14.34 15.72 15.72 16.30 17.58 18.30 19.59 20.16 20.88 23.67 24.78 26.09 27.59 28.35 29.87 31.96 33.05 34.14 36.00 35.24 34.69 35.04 35.96 35.61 33.30 32.60 31.78 30.26 28.90 27.72 26.25 25.01 24.42 25.07 25.58 25.34 25.58 26.33 27.11 27.92 28.38 28.83 29.61 30.05 30.56 31.32 31.71 32.11 32.51 32.09 31.67 31.67 32.09 32.54 32.15 31.77 31.84 31.58 30.41 29.26 29.31 29.02 27.94 26.88 26.09 25.73 24.78 23.67 22.75 21.87 21.16 19.88 19.08 18.42 17.25 16.67 16.01 14.74 14.14 14.14 14.14 14.14 14.14 14.15 14.84 14.78 15.37 16.08 15.60 16.30 16.87 17.01 17.16 17.89 18.63 19.38 19.59 18.49 19.51 19.51 19.51 21.08 21.08 21.08 20.56 20.83 21.35 21.35 21.93 22.24 23.05 23.86 23.86 24.68 25.50 26.31 27.95 28.44 29.42 30.73 32.04 33.05 17.89 +50.56 52.48 53.06 53.36 53.47 54.28 54.47 53.78 53.78 53.28 52.30 52.15 52.15 51.16 50.03 49.22 48.61 48.02 47.00 46.19 45.34 44.54 43.75 42.69 42.18 41.70 40.93 40.49 39.73 38.77 37.83 37.09 36.75 36.02 34.89 34.59 33.75 32.94 32.36 31.78 31.10 29.94 29.26 28.09 27.04 27.04 26.46 25.01 24.61 24.61 23.86 23.53 23.75 23.99 24.27 24.05 24.19 24.87 24.67 24.22 24.62 25.45 26.33 26.78 26.99 27.47 28.44 29.53 30.05 30.05 30.64 32.24 33.75 34.16 35.37 36.92 37.94 39.52 41.25 43.02 44.23 45.43 46.64 46.69 46.73 47.38 47.38 47.32 47.86 47.20 45.98 45.39 43.02 41.26 39.55 37.29 36.18 34.68 32.73 30.76 29.11 27.94 27.13 26.33 25.42 24.87 25.03 26.28 28.58 31.00 31.96 32.43 34.20 36.65 38.46 39.05 39.11 39.83 39.83 39.83 39.76 39.05 37.83 37.24 35.99 34.77 34.77 34.20 34.20 34.20 33.08 32.02 32.02 31.96 31.37 31.43 32.02 32.02 32.02 31.43 30.78 30.20 30.20 30.14 29.02 29.02 28.44 27.34 27.34 26.35 25.89 26.35 24.87 23.88 24.04 24.42 25.17 25.39 24.84 24.07 24.07 24.53 25.07 25.39 26.28 26.84 26.84 27.77 28.33 28.17 27.87 27.74 28.20 28.09 26.93 26.84 26.75 26.09 25.51 24.42 23.17 22.42 20.66 18.94 17.72 15.37 13.57 11.79 9.43 7.07 4.71 1.77 1.77 4.12 6.59 9.72 12.02 15.72 18.87 20.88 22.92 24.78 26.84 28.35 29.66 30.21 31.19 32.19 32.19 32.19 31.65 31.36 31.62 30.31 28.46 29.02 27.49 25.99 25.50 24.68 23.70 21.81 21.29 20.42 18.33 17.09 16.69 15.02 13.81 13.08 11.62 11.86 12.15 11.18 11.18 10.44 10.44 10.62 10.29 11.07 12.15 12.69 12.92 13.45 13.74 15.37 15.37 15.37 15.69 14.73 15.09 15.09 14.64 13.76 13.33 13.33 12.09 10.49 10.14 9.81 10.02 10.29 9.88 10.44 11.93 12.69 13.46 15.56 17.41 17.95 19.51 22.67 25.87 27.49 29.11 31.05 32.20 33.02 33.36 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25.50 26.99 29.11 30.41 31.58 32.77 33.23 34.53 34.53 34.53 35.00 34.32 32.36 31.23 31.43 30.33 27.94 26.35 24.53 22.55 21.45 19.88 17.83 16.51 15.37 13.87 13.24 12.75 12.50 13.08 13.71 14.17 15.50 16.50 17.18 18.50 20.72 21.80 21.45 21.90 23.19 23.75 23.55 24.19 24.04 23.57 23.10 22.18 21.73 21.73 21.73 21.29 20.42 20.00 20.00 20.00 20.42 20.45 20.07 20.90 20.90 20.07 20.07 20.45 20.42 20.00 20.00 20.00 20.42 19.62 19.24 20.07 18.87 18.98 18.63 17.00 17.49 17.69 17.40 17.13 17.41 16.41 16.41 17.73 17.33 17.16 17.16 17.73 18.87 19.30 19.76 20.34 20.34 20.34 20.34 19.67 19.59 19.53 18.30 17.10 15.92 14.84 13.87 12.87 10.82 10.00 10.14 10.62 10.67 12.02 14.01 14.49 15.87 18.63 20.16 21.68 22.92 23.35 25.01 26.28 26.72 27.16 27.24 28.53 28.53 27.70 28.53 27.70 26.87 26.41 26.33 25.45 23.33 21.29 20.52 19.80 17.81 15.87 14.49 14.01 13.44 13.08 12.37 11.92 12.50 12.60 13.04 13.79 13.79 14.01 14.55 14.24 14.24 14.91 14.91 14.91 15.15 14.92 14.34 14.78 14.73 15.37 16.08 15.60 16.30 17.58 19.19 20.14 20.14 20.35 22.14 22.93 22.67 22.44 22.95 23.75 23.55 23.05 22.55 22.88 22.06 20.76 21.45 21.35 20.07 20.45 20.42 20.00 19.59 20.07 21.81 21.81 21.92 22.06 22.88 25.01 24.68 25.50 26.31 26.31 27.13 26.65 26.17 26.65 25.83 25.34 25.34 22.75 21.81 21.45 19.80 18.04 15.92 15.09 12.98 10.42 10.00 8.33 5.43 3.95 3.00 1.67 3.00 4.29 6.90 9.52 11.61 13.45 15.06 16.88 17.92 18.98 20.04 21.12 21.67 22.44 22.44 21.67 20.90 20.69 20.50 19.02 17.58 17.01 15.72 14.92 14.84 13.60 12.39 11.21 10.67 10.17 9.32 8.98 8.44 7.68 7.50 7.10 7.19 8.44 8.98 8.98 8.76 9.01 9.01 8.92 8.33 8.33 9.43 8.84 7.68 7.68 7.66 7.07 7.07 7.10 7.17 6.51 6.59 6.15 5.80 6.87 6.37 6.26 7.10 8.37 7.93 8.33 10.00 9.59 9.66 10.49 10.42 10.42 11.70 11.70 11.70 12.92 13.33 13.33 13.33 13.33 14.59 15.02 15.42 16.67 17.09 18.35 20.02 21.68 22.92 23.75 25.45 27.94 29.59 31.67 33.75 35.44 36.70 37.54 39.20 39.20 38.81 39.69 40.14 38.48 36.82 36.44 34.89 32.88 30.90 28.61 27.49 25.87 23.19 21.90 20.90 19.38 17.73 17.34 17.77 17.10 16.51 16.59 16.18 15.87 16.59 16.77 16.64 16.87 16.60 16.88 17.18 16.85 16.75 17.13 17.92 17.96 17.58 17.58 17.49 17.40 16.88 16.34 16.41 16.41 15.87 15.10 14.91 14.01 13.46 13.79 12.92 12.13 11.93 11.44 10.49 9.66 8.99 8.70 8.98 9.15 9.45 9.43 9.43 9.45 10.17 10.87 11.01 11.93 12.69 12.15 12.65 13.74 13.74 13.74 13.74 15.37 15.37 15.37 17.00 17.00 18.15 18.50 18.50 18.50 18.98 20.28 21.45 21.81 22.28 23.57 25.22 26.87 26.87 28.17 30.29 31.11 33.23 34.89 36.07 38.19 39.48 20.62 +36.92 41.60 40.81 39.52 39.18 38.30 37.42 37.72 38.01 37.50 36.29 35.63 35.83 36.18 36.18 36.07 35.61 35.16 35.16 35.16 34.71 33.88 33.50 33.50 33.05 32.22 31.77 31.32 30.56 29.73 28.83 28.44 28.07 27.24 26.33 25.50 25.22 24.76 23.93 23.57 23.57 23.22 22.40 21.74 20.92 20.11 19.52 18.72 18.19 17.95 17.95 17.95 17.41 16.64 16.09 15.56 14.49 13.45 12.65 11.93 11.70 11.32 10.49 10.02 10.29 10.17 11.79 13.02 13.76 14.73 16.41 17.95 18.98 20.32 21.42 23.86 26.31 27.47 28.99 30.18 31.47 32.41 32.88 34.53 34.53 34.18 34.32 33.99 32.36 30.73 30.73 29.61 27.42 26.09 24.30 22.00 20.32 19.44 17.25 15.91 15.37 14.01 13.46 12.43 11.67 11.93 12.39 13.44 14.84 15.92 17.72 18.42 19.44 20.69 20.35 20.82 22.67 22.95 22.74 23.37 23.22 23.10 22.18 21.73 21.73 21.73 21.29 20.42 20.00 20.42 20.45 20.07 20.90 20.90 20.07 20.45 20.42 20.00 20.00 20.00 20.42 20.45 20.07 20.07 20.90 20.07 19.24 20.07 19.69 19.33 18.50 17.81 18.49 18.20 17.40 17.40 17.40 16.34 16.64 17.95 17.73 17.33 17.73 18.87 19.44 19.44 19.44 19.44 19.44 20.01 20.45 19.67 19.67 19.00 17.72 17.10 15.92 14.84 13.87 12.49 10.62 10.00 9.81 10.29 11.20 13.29 15.10 15.81 16.68 18.98 21.35 22.56 23.78 23.75 25.00 26.67 27.09 27.94 27.55 28.38 28.38 27.11 27.92 27.50 26.67 25.83 25.42 24.22 22.28 21.10 19.94 19.00 18.19 16.41 14.73 14.34 14.15 14.15 13.76 13.44 14.01 14.35 14.24 14.78 15.56 15.81 16.09 15.56 14.78 14.91 14.91 14.91 15.72 16.08 14.92 15.37 15.91 15.95 16.67 16.67 16.76 17.73 19.38 20.14 20.35 20.82 21.61 22.93 23.99 22.67 22.67 24.27 24.27 23.75 23.55 23.05 22.24 21.74 22.40 21.92 20.62 21.35 20.90 20.45 20.42 21.25 22.12 21.73 22.56 22.18 23.10 25.22 24.40 25.22 26.52 26.65 27.13 26.31 25.83 26.52 25.22 25.22 25.22 21.92 21.45 21.35 19.24 17.58 15.92 14.64 12.09 10.00 10.00 7.93 5.07 3.44 2.36 2.50 2.95 5.03 8.21 10.62 11.93 13.46 15.81 17.40 18.72 20.29 21.12 21.67 22.21 22.76 22.21 21.67 21.45 21.80 20.88 19.44 18.03 17.34 16.67 16.01 15.37 14.14 12.98 11.26 10.67 10.75 10.62 10.54 9.81 8.84 8.33 8.37 8.37 8.70 8.98 8.98 9.32 9.72 9.72 10.17 9.59 8.92 9.43 9.45 9.01 8.92 8.84 7.66 7.07 7.68 7.68 7.10 7.29 6.90 6.59 6.87 6.87 7.19 7.10 8.33 8.33 8.33 10.00 10.00 10.00 10.00 10.00 11.26 11.70 11.70 12.15 12.15 12.92 13.33 13.33 13.76 15.02 15.02 15.02 16.26 17.92 18.79 20.07 21.29 22.09 24.59 26.28 27.11 29.18 32.11 34.21 35.87 36.70 37.54 39.20 39.64 39.69 39.69 39.64 38.81 37.20 36.82 35.16 33.13 31.58 29.26 27.30 25.67 24.27 22.68 20.90 19.38 18.46 18.15 17.34 16.01 15.95 15.91 14.84 14.92 15.60 15.30 14.91 14.55 14.78 15.02 14.25 14.06 14.73 15.09 15.02 15.09 15.09 15.09 15.57 15.81 15.56 15.10 14.91 14.91 14.91 14.91 14.91 14.35 13.24 13.04 12.69 12.13 11.62 10.82 10.14 9.59 9.32 9.50 9.22 8.76 8.92 9.43 9.43 9.43 10.09 10.29 10.44 11.93 12.15 11.61 12.39 13.45 13.74 13.74 13.74 15.37 15.37 15.37 17.00 17.00 17.33 18.50 18.50 18.50 19.80 20.28 20.62 21.81 23.10 23.57 24.76 26.33 27.16 28.90 30.18 31.01 33.50 34.33 36.44 38.56 38.93 20.28 +36.64 40.73 39.51 38.77 38.41 37.76 37.17 36.64 36.40 35.67 34.98 34.81 34.66 35.00 35.36 35.25 35.16 35.16 35.16 35.16 34.65 33.81 33.50 33.05 32.15 31.32 30.93 30.88 30.49 29.66 29.21 29.27 28.38 27.16 26.72 26.72 26.41 25.50 24.67 23.93 23.10 22.28 21.92 21.58 20.76 19.94 19.81 19.81 19.00 18.19 17.95 17.41 16.34 15.56 15.32 15.02 14.25 13.74 13.24 11.79 10.42 10.14 9.81 9.75 10.87 10.67 11.26 12.02 13.44 14.91 16.41 18.19 19.52 20.62 21.74 23.70 25.83 28.29 29.46 30.29 31.11 31.94 33.13 33.96 34.06 33.71 33.71 33.36 31.87 30.73 30.73 29.11 26.39 25.03 23.99 21.45 19.59 19.30 17.18 15.32 14.78 13.44 12.69 12.43 12.50 12.26 12.39 13.44 14.25 15.32 17.18 17.25 18.15 19.94 20.14 20.35 21.87 22.44 22.44 22.24 22.40 22.28 21.81 21.81 21.35 21.29 20.85 20.45 20.07 20.90 20.90 20.07 20.45 20.42 20.00 20.00 20.00 20.00 20.42 20.45 20.90 20.90 20.07 20.07 20.90 20.52 19.80 20.28 19.80 18.87 18.87 19.45 18.80 17.99 17.69 17.40 17.40 17.13 17.41 18.49 18.83 18.46 18.87 19.44 19.44 19.44 19.44 20.01 20.45 21.03 21.03 19.67 19.67 19.00 17.72 17.10 15.92 14.25 12.60 11.18 10.14 9.59 9.22 10.09 11.26 13.44 15.87 17.13 17.69 20.28 21.81 22.64 24.67 24.62 25.42 26.67 27.50 28.33 27.50 27.92 28.35 27.09 27.09 26.72 26.41 26.05 24.87 23.37 22.24 21.42 19.52 17.95 18.08 17.01 15.42 14.73 14.78 14.92 14.73 14.91 15.10 15.56 15.81 16.08 16.60 16.60 17.13 17.41 16.64 16.41 16.41 16.21 16.30 16.67 16.08 15.95 16.50 17.10 17.77 17.25 17.45 18.46 19.38 20.35 20.82 21.08 21.08 22.67 23.99 22.93 23.19 24.27 24.27 24.27 24.27 23.75 22.74 22.55 22.88 22.06 21.92 21.81 20.98 21.35 21.29 22.09 22.92 22.12 22.56 23.01 23.47 25.12 24.76 25.22 26.87 26.87 26.87 26.52 25.34 25.69 25.22 24.76 24.67 22.18 20.98 20.52 19.24 17.58 15.47 13.76 11.67 10.00 9.59 7.19 5.27 3.73 2.12 2.95 4.29 7.10 9.15 10.83 12.69 14.35 16.41 18.49 19.81 20.82 21.61 21.90 22.98 23.31 22.36 22.36 22.36 22.36 20.88 19.44 18.61 18.42 17.72 16.51 15.33 14.14 13.02 12.60 12.72 12.15 11.18 10.54 10.14 9.59 9.17 9.59 9.66 9.22 8.98 8.98 9.32 9.72 9.72 10.17 10.17 10.17 10.67 10.17 9.59 9.45 9.43 8.84 7.66 7.68 7.75 7.29 7.45 7.45 7.45 7.66 7.38 7.68 8.01 8.76 8.33 8.33 10.00 10.00 10.00 10.00 10.42 11.70 11.70 11.70 12.53 12.15 12.61 13.44 13.44 14.26 14.64 15.02 15.47 15.92 17.96 19.18 20.02 20.85 22.12 24.62 26.25 27.09 29.61 32.54 33.77 35.42 37.09 37.94 39.20 40.03 40.03 39.20 39.20 39.64 38.03 36.82 35.16 33.50 31.84 29.82 27.47 25.50 24.68 22.74 20.56 19.27 18.83 17.89 16.44 15.60 15.50 14.84 14.14 14.78 14.25 13.18 13.29 13.60 13.79 13.46 13.45 13.74 13.57 12.98 12.09 12.15 12.61 12.61 13.45 14.24 14.55 14.91 14.91 14.91 14.91 14.91 14.91 14.91 14.35 13.60 12.49 11.07 10.54 10.54 10.14 10.00 9.66 8.99 8.70 8.98 9.15 9.45 9.43 9.43 9.45 9.59 10.44 11.38 11.07 11.86 12.39 12.65 13.74 13.74 13.74 14.87 15.21 15.69 17.00 17.00 17.00 18.15 18.50 18.50 19.69 20.07 20.52 21.81 23.01 23.84 24.30 25.50 27.99 29.27 30.10 30.93 33.43 34.71 36.82 38.48 38.48 20.28 +36.12 39.44 38.04 37.27 37.46 37.53 36.63 35.32 34.80 34.87 35.48 35.63 35.00 34.66 34.53 33.96 33.50 33.50 33.50 33.05 32.54 32.98 33.05 32.15 31.71 31.71 31.32 30.44 30.05 30.05 29.61 28.38 27.51 27.55 27.11 26.28 25.50 25.06 24.62 23.84 23.01 22.18 21.92 21.45 20.62 20.28 20.11 19.81 19.61 19.00 18.19 17.13 16.60 16.60 15.81 14.49 13.74 13.74 13.08 12.09 11.26 10.96 10.82 10.29 10.87 11.80 12.43 12.60 13.44 15.10 16.34 18.20 19.81 20.92 22.40 23.57 25.22 28.53 28.99 30.29 31.47 31.84 33.50 33.50 33.13 33.23 33.71 32.54 31.38 30.56 30.24 28.80 26.10 24.51 23.21 21.06 19.44 18.61 17.18 15.33 13.60 12.87 12.92 12.75 12.09 11.79 12.39 13.44 14.34 15.33 16.59 16.67 18.03 19.59 19.94 20.14 20.58 21.63 22.24 21.42 21.74 21.58 21.92 21.92 20.62 20.52 20.90 20.90 20.07 20.45 20.42 20.00 20.00 20.00 20.42 20.45 20.07 20.07 20.90 20.90 20.45 20.85 20.45 20.07 20.90 20.90 20.07 20.07 19.24 18.87 19.80 20.28 18.63 18.30 18.49 17.92 18.19 17.95 18.49 19.59 19.38 18.63 18.63 19.19 19.59 19.44 19.44 20.72 21.16 20.45 20.01 19.30 19.76 19.00 17.72 16.51 14.73 13.02 12.02 11.18 10.14 9.66 9.52 10.62 11.92 13.44 16.41 18.19 19.00 21.25 22.06 23.57 25.12 25.12 26.33 27.11 27.51 27.94 27.55 27.55 28.38 27.55 26.33 25.58 25.69 25.50 24.56 23.47 22.40 21.90 20.14 17.73 18.03 17.72 17.13 16.67 16.30 16.59 16.41 16.41 16.34 16.60 16.60 16.68 17.40 17.40 17.40 17.95 17.95 17.95 17.73 17.33 17.58 17.92 17.25 17.13 17.09 17.10 18.42 17.92 18.03 19.59 19.94 20.90 21.67 21.90 21.61 22.67 23.19 22.93 23.99 24.27 24.27 24.27 24.27 24.27 23.75 23.55 23.05 22.55 22.88 22.06 21.92 22.18 22.12 22.52 22.95 23.35 23.35 23.39 23.39 25.06 25.50 25.58 26.87 26.87 26.87 26.41 25.12 25.58 25.22 23.93 23.84 23.01 21.45 19.80 18.87 17.13 14.59 13.33 11.67 10.00 8.76 6.37 5.03 4.17 2.50 3.73 5.43 7.68 9.01 11.74 14.35 15.47 17.33 19.38 20.14 20.90 22.98 23.31 23.86 23.86 22.92 23.31 23.15 23.15 21.73 20.34 20.25 19.53 17.69 16.50 15.92 15.37 14.34 13.87 13.44 12.49 11.38 10.54 10.14 10.00 10.00 9.59 9.32 10.02 10.54 10.54 10.62 10.44 10.44 10.75 10.17 10.17 10.67 10.09 9.45 9.43 9.43 9.43 8.84 8.27 8.44 8.01 7.45 7.45 7.66 8.19 8.01 7.55 8.37 9.59 8.33 8.33 10.00 10.00 10.42 10.49 10.96 11.79 11.79 11.79 12.15 12.53 12.98 13.44 13.44 13.81 14.19 15.02 15.86 16.30 17.13 18.75 20.00 21.25 22.95 23.78 25.42 27.92 30.01 32.09 33.75 35.44 37.54 38.37 39.20 40.03 40.03 39.64 39.69 39.69 38.41 37.20 35.16 33.50 31.84 30.18 28.17 25.83 24.68 23.05 20.62 19.52 18.98 17.18 16.21 15.87 15.02 14.34 13.67 13.02 12.37 12.43 12.50 12.02 11.58 11.74 12.15 12.13 11.44 10.87 11.26 11.70 11.79 11.79 12.13 12.69 13.24 14.35 14.91 14.91 14.73 14.01 13.44 13.44 13.44 13.44 13.04 12.15 11.07 10.54 10.14 10.00 9.59 8.84 8.70 8.98 8.76 8.92 8.84 8.27 8.92 9.50 10.29 10.62 10.29 12.13 12.13 12.13 13.74 13.74 13.74 14.06 15.21 16.03 16.38 16.75 16.75 17.58 18.41 18.41 19.24 20.07 20.90 21.73 22.56 24.22 24.67 25.58 28.07 28.83 30.05 31.32 33.43 35.09 36.75 38.41 38.86 20.28 +34.80 38.87 38.04 37.27 37.27 36.55 35.32 34.80 34.80 35.08 35.17 34.81 34.53 34.18 33.71 33.50 33.50 33.50 33.05 32.15 32.15 32.60 32.15 31.71 31.27 30.88 30.88 30.42 29.61 29.21 29.18 28.75 28.35 27.94 27.09 26.25 25.45 25.06 25.01 24.62 24.22 24.22 23.93 23.01 22.18 21.92 21.58 20.92 20.43 19.94 19.00 17.69 17.40 17.40 16.68 15.87 14.87 13.57 12.61 12.50 12.15 11.79 11.86 11.18 10.75 11.79 13.02 13.76 14.01 15.87 17.13 18.20 19.81 21.74 23.22 23.57 25.22 28.17 28.64 30.29 31.94 32.30 33.13 33.23 32.88 32.88 33.36 31.87 31.55 30.73 29.61 28.22 26.35 24.53 22.55 20.88 19.44 18.03 16.59 15.91 14.34 13.04 12.39 11.93 11.70 11.79 12.39 12.87 13.67 14.74 15.95 16.67 17.45 18.46 18.83 19.81 20.35 20.58 21.63 21.42 21.42 21.42 21.74 21.58 20.28 20.28 20.62 20.52 20.07 20.07 20.07 20.07 20.07 20.07 20.90 20.90 20.07 20.52 20.98 20.52 20.07 21.35 21.45 20.28 20.62 20.52 20.07 20.52 20.28 19.61 19.94 20.28 19.12 19.30 19.00 18.72 18.98 17.95 19.27 19.81 19.04 18.83 18.63 19.38 19.94 19.59 19.44 20.88 20.88 19.44 20.01 19.88 19.30 18.03 16.67 15.37 14.14 13.02 12.02 10.62 8.84 8.50 9.15 10.62 12.02 13.60 16.34 18.20 19.81 21.42 22.55 24.87 25.22 25.22 26.87 28.07 27.99 27.16 27.24 27.70 28.17 27.47 25.99 25.67 25.67 24.56 23.99 23.21 22.55 22.18 21.16 19.00 18.30 17.69 17.25 17.45 17.33 17.73 17.95 18.19 18.20 18.20 18.49 18.30 18.20 18.20 18.20 18.98 19.27 18.49 18.08 17.73 17.58 18.42 17.77 17.72 18.27 17.72 18.50 18.50 18.73 19.94 20.14 20.90 21.67 22.44 22.68 22.93 22.93 23.19 24.27 24.27 24.27 24.27 24.27 24.27 24.27 24.27 23.75 23.55 23.05 22.55 23.22 23.10 23.01 22.56 22.56 24.22 24.62 23.75 23.75 25.01 25.85 26.28 26.72 26.72 26.72 25.89 25.50 26.41 25.22 23.57 23.57 23.10 21.35 19.24 18.41 16.30 13.76 13.33 11.67 9.59 8.01 6.07 4.29 4.17 4.17 4.86 5.92 7.68 9.59 12.87 14.91 16.21 18.08 19.38 20.69 22.36 24.22 24.22 24.22 24.22 24.04 24.45 24.16 24.04 22.67 21.34 20.76 18.94 17.10 16.50 15.92 15.37 14.34 13.29 12.72 11.93 11.07 10.54 10.14 10.00 10.00 9.66 9.32 9.81 10.54 10.29 10.44 10.44 10.44 11.44 11.44 10.75 10.67 10.62 10.02 9.43 9.43 9.43 9.45 8.92 9.01 9.15 8.01 7.66 8.19 8.50 8.84 7.93 8.33 10.00 8.76 8.84 10.14 10.14 10.96 10.96 10.96 11.79 11.79 11.79 11.79 12.61 13.44 12.98 13.36 13.81 14.26 15.09 15.47 16.26 17.09 18.79 20.07 21.29 22.92 23.75 25.45 27.94 30.01 32.11 34.21 35.87 37.10 38.34 39.60 40.03 40.03 40.03 40.03 39.20 38.37 37.54 35.48 33.88 31.84 30.18 28.53 26.52 25.01 22.55 20.43 20.11 19.00 16.60 15.81 15.56 14.35 13.44 12.72 12.02 11.92 11.80 11.21 10.67 10.75 10.87 9.88 8.98 8.99 9.66 10.03 10.03 10.49 10.96 11.33 11.93 11.93 12.49 13.44 13.44 13.87 13.87 13.44 13.29 12.60 12.15 12.49 12.69 12.15 11.33 10.96 10.42 10.00 9.59 8.99 8.44 7.66 8.33 8.27 7.66 9.01 9.01 9.72 10.44 10.44 12.15 11.86 12.13 13.24 13.08 13.44 13.91 15.21 15.56 15.92 16.75 16.75 17.58 18.41 18.87 19.80 20.28 20.62 21.81 23.10 23.93 24.67 25.89 27.55 28.83 30.10 31.77 33.43 35.09 36.75 38.41 39.69 20.28 +34.80 38.87 38.04 37.27 36.71 35.24 34.28 34.53 34.80 34.28 33.55 33.18 32.88 32.88 32.88 33.13 33.50 33.05 32.15 32.15 32.60 32.15 31.71 31.27 30.84 30.88 30.44 30.00 29.59 28.78 28.35 28.33 27.92 27.09 26.67 26.67 26.25 25.45 25.45 25.85 25.45 24.62 23.84 23.39 23.39 23.10 22.28 21.58 20.76 20.28 19.94 19.12 18.49 17.69 16.51 15.69 14.73 13.36 12.15 11.67 11.79 11.44 11.38 11.44 11.26 11.80 12.50 13.87 14.91 16.34 17.40 18.49 19.94 21.58 23.37 24.19 25.69 27.34 28.64 30.29 31.94 32.77 32.41 32.88 32.88 32.88 32.54 31.05 31.23 30.92 29.31 27.42 26.09 24.07 22.36 20.88 19.44 18.03 15.95 15.33 14.34 13.04 12.39 12.26 12.92 13.44 13.45 13.24 14.34 15.37 15.91 16.59 17.34 18.15 18.46 19.59 20.58 20.35 20.58 20.83 21.42 21.42 20.92 20.76 20.28 20.28 20.28 20.28 20.28 20.28 20.28 20.28 20.28 20.28 20.62 20.52 20.52 21.45 21.10 20.28 20.28 21.92 21.92 20.28 20.28 20.76 20.92 21.42 21.42 19.81 19.81 20.62 20.32 20.03 19.24 19.76 19.51 18.49 19.81 19.81 19.59 19.38 19.19 19.76 20.50 20.32 19.44 20.88 20.88 19.44 20.72 19.88 18.61 18.03 16.67 15.37 14.14 13.02 11.44 9.52 7.93 7.38 8.33 10.67 12.02 14.35 17.13 18.20 19.81 21.74 23.22 24.87 25.34 25.69 26.87 28.17 28.29 27.47 27.34 26.99 27.30 27.49 25.87 25.58 25.83 24.53 24.07 22.92 22.58 22.31 21.34 20.62 20.07 19.00 18.15 18.46 18.28 18.19 18.98 19.52 19.81 19.81 19.94 20.11 19.81 19.81 19.52 19.24 19.81 19.59 19.19 18.87 18.03 18.35 18.35 18.30 18.87 18.94 19.00 19.08 20.16 20.50 20.50 21.45 21.90 22.14 22.68 23.21 23.46 23.99 24.27 24.27 24.27 24.27 24.27 24.27 24.27 24.27 24.27 24.27 23.75 23.86 24.04 23.57 23.57 23.10 23.39 24.18 24.62 24.62 25.00 25.45 25.89 26.72 26.72 26.72 26.72 26.33 26.41 26.41 24.67 23.84 23.47 22.18 20.90 19.24 17.96 15.42 13.33 13.33 11.67 8.76 7.19 6.07 3.58 3.44 4.60 5.59 7.10 8.84 11.26 14.45 15.72 17.16 19.19 20.32 22.18 24.04 24.61 24.61 24.61 25.17 25.01 25.01 24.87 24.04 22.67 21.34 20.11 18.30 17.69 17.10 15.95 15.37 14.34 13.44 12.87 11.38 10.54 10.54 10.14 10.00 10.00 10.14 10.14 10.14 10.29 9.88 9.88 10.44 10.29 10.17 10.67 10.67 10.67 11.21 11.20 10.02 9.43 9.45 9.59 9.15 8.58 9.32 8.98 8.19 8.50 8.84 9.59 8.33 8.33 10.00 9.59 9.66 10.14 10.62 11.12 10.62 10.96 11.79 11.79 11.79 12.26 12.75 13.08 12.61 13.44 14.26 14.26 15.09 15.09 15.92 17.58 19.24 20.07 20.90 22.56 24.22 25.89 27.55 30.05 32.54 34.21 35.87 36.70 38.37 39.60 40.01 40.44 40.03 40.03 39.20 38.37 37.54 35.87 34.21 32.15 30.56 28.53 26.41 25.12 22.28 20.28 20.28 18.63 16.68 16.08 15.81 14.24 13.24 12.87 12.02 12.02 11.33 10.62 10.62 10.67 9.59 8.58 8.76 8.70 8.50 8.37 8.76 9.20 9.32 10.02 11.18 11.18 11.18 12.02 12.02 12.60 13.29 13.44 13.87 13.87 13.04 12.49 11.93 12.15 12.13 11.44 10.49 10.00 10.00 9.66 8.99 8.70 9.15 8.44 8.33 9.45 8.92 9.15 10.07 10.62 11.38 11.07 12.13 12.43 12.26 13.44 14.73 15.21 15.21 16.03 16.38 17.21 17.68 18.50 19.33 19.69 20.07 20.52 21.81 23.01 23.39 24.22 25.89 27.55 29.21 30.49 31.77 33.43 35.09 36.75 38.86 40.14 20.28 +34.80 38.87 38.04 37.27 36.35 34.91 34.59 34.79 34.80 34.06 33.05 32.36 32.54 32.88 32.41 31.94 31.84 31.77 32.15 32.60 32.15 31.71 31.27 30.84 31.27 31.27 30.42 30.00 30.00 29.59 28.75 28.33 28.33 28.33 27.92 27.09 26.67 26.25 25.45 25.01 24.59 23.75 23.39 23.39 22.95 22.18 21.35 20.62 20.28 20.28 19.80 18.98 18.30 17.49 16.38 15.09 14.26 14.17 13.33 12.09 11.44 10.82 11.18 11.92 11.80 12.43 12.60 13.44 15.87 17.13 17.40 19.00 20.62 21.42 23.05 25.01 26.52 26.87 28.53 30.18 31.47 32.41 32.06 32.88 32.54 32.69 32.36 30.73 30.73 30.42 29.02 26.88 25.61 23.86 22.36 20.88 19.30 18.42 16.50 15.37 14.34 13.24 13.45 13.44 13.33 13.44 13.74 14.24 15.72 16.08 15.95 17.10 18.35 18.42 18.61 19.59 20.69 20.90 20.14 20.35 21.08 21.12 20.62 20.62 20.62 20.62 20.62 20.62 20.62 20.62 20.62 20.62 20.62 20.62 20.62 20.62 21.42 21.74 20.76 20.76 20.92 21.74 21.58 20.76 20.92 21.42 21.42 21.42 21.42 20.32 20.56 21.08 21.08 19.76 19.24 20.56 19.51 19.27 20.35 20.14 20.14 19.38 19.94 20.32 20.88 20.88 19.44 20.88 20.88 19.44 20.32 19.02 18.15 18.03 16.08 14.84 13.57 11.80 9.59 8.21 7.50 7.66 8.33 10.67 12.15 14.55 17.41 18.98 20.62 22.06 23.37 24.68 25.83 26.17 26.65 27.95 27.95 27.95 27.62 26.17 26.68 27.19 25.83 25.31 25.39 24.78 24.61 23.01 22.67 23.10 21.80 21.29 21.42 21.16 20.50 20.14 19.81 19.52 20.32 20.62 20.62 20.62 20.28 20.62 20.62 20.62 20.56 19.76 19.81 19.94 19.59 19.44 19.76 19.59 18.94 18.86 18.94 19.00 19.08 19.44 20.50 20.50 20.69 21.67 22.44 22.68 22.14 22.93 23.99 23.99 24.25 25.03 24.78 24.27 24.27 24.27 24.27 24.27 24.56 24.36 23.86 24.68 24.68 24.19 24.04 23.57 24.76 24.67 24.22 25.45 26.25 26.25 26.28 26.72 26.72 26.72 26.72 26.72 26.72 25.89 24.22 24.22 23.39 21.73 20.90 18.79 17.09 15.00 13.33 12.92 11.32 8.50 6.87 5.59 4.29 4.17 4.75 6.15 8.27 10.02 12.43 15.02 16.30 18.15 20.72 21.87 23.15 24.61 24.61 24.61 25.17 26.31 25.44 25.44 25.44 24.04 22.67 21.34 20.07 18.86 18.86 17.72 16.67 16.08 14.45 13.44 12.49 11.07 10.54 10.54 10.14 10.00 10.00 10.14 9.81 8.99 9.32 9.88 10.07 10.29 10.17 10.17 10.62 10.02 9.43 10.02 11.21 10.62 9.45 9.72 9.32 9.32 8.98 8.70 9.50 8.99 8.84 9.59 10.00 8.76 8.84 10.14 10.14 10.14 10.14 10.96 11.44 10.82 10.82 11.93 11.93 11.93 12.75 12.26 12.61 13.08 13.57 13.91 14.26 15.09 15.09 16.38 17.68 18.87 20.07 20.90 22.56 24.22 25.89 27.55 30.05 32.54 34.21 35.87 36.70 38.37 39.20 40.03 40.87 40.03 40.03 39.20 38.37 37.54 35.87 34.21 32.54 30.88 28.38 25.89 25.06 23.01 20.62 20.28 18.63 17.00 16.68 15.57 13.97 13.71 12.69 11.18 11.18 10.44 9.72 9.59 8.86 7.68 8.33 9.15 8.19 7.68 8.01 8.33 8.37 8.50 8.70 9.88 10.62 11.18 12.02 12.02 12.02 12.02 12.02 12.60 13.29 13.04 13.04 12.69 12.39 11.86 11.12 10.96 10.42 10.00 9.59 9.32 9.50 8.98 8.58 9.01 9.45 9.43 9.45 9.72 10.29 10.54 10.54 12.13 12.13 12.13 13.74 14.87 15.21 15.21 15.56 15.92 17.58 18.04 18.50 18.87 19.24 20.07 20.90 21.73 22.56 23.39 24.67 26.41 27.24 28.83 30.88 31.71 33.37 35.04 36.70 39.20 40.03 20.07 +33.21 37.45 37.16 36.52 35.79 35.67 35.36 34.00 33.21 33.26 33.35 33.18 33.02 32.88 32.77 32.30 31.84 32.22 32.60 32.15 31.71 31.71 31.68 31.68 31.27 30.42 30.00 30.00 30.00 30.00 30.00 29.59 28.75 28.33 28.35 28.35 27.92 27.09 26.25 25.42 25.00 25.00 24.62 23.78 22.92 22.56 22.56 21.73 20.62 20.28 19.69 18.87 18.15 17.33 16.75 16.26 15.47 14.59 13.81 12.98 12.43 11.86 11.74 12.43 12.37 13.02 13.76 14.01 16.41 17.95 18.19 19.52 20.62 21.74 23.22 24.87 26.65 27.47 28.64 29.94 31.24 32.06 31.72 32.69 32.36 32.36 32.36 30.73 30.42 29.53 28.73 26.93 25.39 23.86 22.18 21.16 19.59 18.87 17.72 16.76 16.59 15.56 14.25 13.44 13.33 13.44 13.74 14.24 15.72 16.18 16.67 17.69 18.30 18.35 19.00 19.76 20.72 21.06 20.50 20.50 20.69 21.67 21.12 20.82 21.08 21.08 21.08 21.08 21.08 21.08 21.08 21.08 21.08 21.08 21.08 21.08 21.35 21.12 20.62 21.93 22.15 21.35 21.12 21.93 22.15 21.35 21.12 21.93 22.15 21.08 21.08 21.08 21.08 20.04 20.35 21.12 19.81 20.35 20.90 20.14 20.69 20.32 20.88 20.88 20.32 20.50 19.59 20.88 20.88 19.44 19.59 19.02 18.30 17.01 15.02 14.34 12.43 10.02 8.33 7.45 6.67 7.45 8.33 10.67 12.87 14.78 16.60 19.00 21.42 22.24 23.05 24.68 26.31 26.31 26.31 27.62 27.80 27.99 27.42 26.35 27.14 26.88 25.39 25.53 25.17 24.87 25.31 23.75 23.01 23.58 22.42 21.34 20.92 20.88 21.25 20.90 20.82 20.62 20.62 20.62 20.92 21.42 20.76 20.92 21.42 21.12 21.08 20.82 20.35 20.32 20.01 19.30 19.67 20.11 19.45 19.48 19.59 19.08 19.30 20.16 20.88 21.06 21.45 21.67 22.44 23.21 22.68 22.93 24.25 23.99 23.99 25.56 25.56 25.03 24.78 24.27 24.27 24.27 25.37 25.17 23.86 24.68 24.68 24.68 25.01 24.04 25.22 25.58 25.06 26.25 26.67 26.67 26.67 26.67 26.67 27.09 27.11 26.72 26.72 25.89 24.22 23.78 23.35 21.68 20.42 18.33 16.67 15.00 13.33 12.09 10.14 8.44 7.29 5.92 5.27 5.00 5.80 7.29 9.45 11.79 13.57 15.50 17.45 19.30 21.87 23.01 23.58 25.01 25.58 25.44 26.15 26.87 26.01 25.89 25.31 24.04 22.67 21.34 20.07 18.86 18.86 17.72 16.08 14.92 13.87 12.87 11.93 11.86 11.62 10.82 10.14 10.00 9.59 9.32 9.50 9.22 9.32 9.32 9.15 9.50 9.59 10.17 11.20 10.62 9.43 9.45 10.17 10.17 9.72 10.07 9.32 9.52 10.02 8.99 9.32 9.66 9.59 10.00 10.00 10.03 10.31 10.54 10.54 10.54 10.54 10.82 11.93 11.62 10.54 12.13 12.13 12.13 12.43 11.93 13.24 13.74 13.74 13.74 14.06 14.73 15.09 16.75 18.04 18.50 19.69 20.90 22.56 24.22 25.89 27.55 30.05 32.54 34.21 35.87 36.70 38.37 39.20 39.60 40.84 40.44 39.60 39.18 38.77 37.54 35.87 34.21 32.54 30.88 28.38 26.33 25.12 23.47 21.45 20.28 18.63 17.00 17.00 15.37 13.74 13.74 12.13 11.07 11.38 10.44 9.72 9.72 8.33 7.66 8.25 7.10 5.80 6.59 6.87 6.67 7.10 8.01 8.70 9.52 10.07 10.44 11.44 12.15 12.87 13.44 13.44 13.44 13.44 13.04 13.24 13.46 12.92 12.39 11.93 11.79 11.32 10.42 10.00 10.14 9.81 8.99 9.32 9.15 8.92 9.43 9.43 9.45 10.29 10.62 10.29 12.13 12.13 12.13 13.74 14.06 14.73 15.09 15.56 16.51 17.33 18.04 18.41 18.41 19.24 20.07 20.90 21.73 22.56 23.39 25.06 26.72 26.72 28.38 30.88 31.71 33.37 35.48 36.75 38.81 40.03 20.07 +33.21 37.45 37.02 35.78 35.04 34.69 34.04 33.47 33.21 32.97 32.54 32.36 32.20 32.06 32.41 33.13 33.05 32.22 31.77 31.71 31.71 31.71 31.68 31.25 30.42 30.00 30.00 30.00 30.00 30.00 29.59 28.78 28.35 27.92 27.51 27.92 28.35 27.94 27.09 26.67 26.67 26.67 25.83 24.17 23.33 23.39 23.39 22.92 21.73 20.62 20.07 19.62 18.87 18.04 17.13 16.67 15.83 14.64 14.26 13.91 13.45 12.69 12.15 13.02 13.55 13.60 14.45 14.73 16.41 17.95 18.98 20.32 20.62 22.24 23.86 24.68 26.31 27.95 28.77 29.59 31.24 31.72 31.05 32.36 32.36 32.04 32.24 31.14 30.05 28.73 28.24 27.04 26.09 24.61 22.31 21.42 20.07 18.87 18.42 17.58 16.77 16.09 15.57 15.09 15.00 15.09 15.37 15.81 16.59 16.87 17.34 17.77 18.86 19.45 19.48 19.59 20.45 20.72 20.88 20.88 20.88 22.36 21.06 20.69 21.67 21.67 21.12 20.82 21.08 21.08 21.08 21.08 21.08 21.08 21.08 21.08 21.08 21.61 21.90 22.68 22.40 21.61 21.90 22.68 22.40 21.61 21.90 22.68 22.40 21.08 21.08 21.61 21.36 20.58 21.12 20.90 20.69 21.80 21.06 20.50 21.25 20.50 20.50 20.50 19.76 20.50 20.32 20.32 20.50 19.59 19.44 18.87 17.73 15.87 14.58 13.87 11.26 9.43 8.33 6.90 5.83 6.90 8.27 10.29 12.69 15.02 16.60 19.00 21.12 22.44 23.55 24.36 26.17 26.98 26.48 26.68 27.42 27.67 27.41 26.63 26.93 27.04 25.17 25.58 25.44 24.62 25.00 24.19 23.57 23.58 23.10 22.77 22.58 22.00 22.21 22.68 22.67 21.93 21.42 21.74 22.06 22.24 22.06 22.06 21.93 21.35 21.08 21.12 20.69 20.88 21.16 20.34 19.59 20.07 20.62 20.66 20.76 20.25 20.45 20.58 21.29 22.18 22.36 22.55 22.98 23.21 23.21 23.21 23.99 24.25 23.99 24.78 25.03 25.56 25.56 25.03 24.78 24.27 25.87 25.87 24.56 25.17 25.01 24.52 25.34 24.87 25.22 26.41 26.33 26.72 26.72 27.11 27.09 26.67 27.09 27.94 27.55 26.72 26.72 25.89 24.22 23.39 22.95 21.68 20.02 17.92 16.67 15.00 12.92 11.32 8.99 7.66 6.59 5.43 5.56 6.26 7.66 9.15 11.26 13.55 14.73 17.13 19.00 20.92 23.46 24.04 24.04 25.44 26.73 26.46 27.04 27.16 26.59 25.89 24.62 24.04 22.67 21.34 20.07 18.86 18.27 16.51 14.84 14.34 13.87 12.49 11.93 11.61 10.62 9.81 8.84 8.33 8.37 8.50 8.70 8.98 9.32 9.15 8.92 8.92 9.01 9.43 10.17 10.09 9.45 9.59 9.72 9.88 10.29 9.75 9.22 9.81 10.14 9.66 9.59 10.00 10.42 10.49 10.14 10.96 11.44 10.82 10.54 10.54 11.07 11.38 12.15 11.86 11.07 12.39 11.86 12.13 12.13 12.13 13.74 13.74 13.74 13.74 13.74 14.06 15.21 16.85 18.04 18.41 19.24 21.35 23.10 23.93 25.50 27.99 30.10 32.15 34.21 35.87 37.14 38.41 38.81 39.20 40.87 40.87 39.20 39.20 39.20 37.54 35.87 34.21 32.54 30.88 28.38 26.72 25.06 23.39 21.73 20.07 18.87 17.33 16.51 15.21 14.06 13.74 12.13 11.33 11.33 9.75 9.52 9.32 7.86 7.75 7.68 6.51 6.15 6.90 6.87 6.67 6.67 7.10 8.19 8.98 9.32 9.88 11.01 11.74 12.49 13.44 13.44 13.60 14.35 14.35 13.46 13.46 13.46 13.45 13.24 12.26 11.79 11.32 10.42 10.14 10.14 10.14 10.29 9.52 9.15 9.45 9.43 9.43 10.09 10.29 10.44 12.15 11.86 12.13 13.74 13.74 14.06 15.21 16.51 16.51 16.85 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22.98 23.31 22.55 22.21 21.67 22.21 23.31 22.36 21.62 21.80 21.25 21.80 22.36 20.88 20.88 21.62 20.88 20.32 20.50 20.32 20.88 20.88 19.59 19.94 19.38 18.63 17.89 17.16 15.15 14.01 13.44 10.67 9.43 7.75 5.80 5.00 5.59 7.68 10.62 12.39 14.49 16.60 19.00 20.62 21.93 23.75 24.27 25.87 27.19 26.62 26.35 27.14 26.88 26.93 27.04 26.65 27.04 25.44 25.31 25.77 24.92 24.81 24.16 24.19 24.27 23.93 23.72 23.67 23.53 23.21 22.93 22.95 23.24 23.05 22.88 22.55 22.55 22.88 22.24 21.35 21.08 21.08 21.67 21.80 21.45 21.61 21.42 20.76 20.66 21.22 21.29 21.34 21.42 21.61 21.16 21.45 22.36 22.55 22.98 22.98 23.53 23.75 23.46 23.72 24.25 24.78 25.03 24.78 24.78 25.03 25.83 25.58 24.27 25.87 25.87 25.37 25.67 25.67 25.50 25.69 25.22 25.22 26.87 27.24 27.16 26.72 27.55 27.94 27.09 27.92 28.35 27.09 26.67 26.67 26.25 24.62 23.39 22.56 21.73 19.62 17.09 16.67 14.59 12.15 10.62 8.44 7.29 6.48 5.80 6.26 7.19 8.76 10.29 12.43 14.73 16.50 18.28 19.53 22.09 24.04 24.04 24.62 26.46 27.16 26.59 27.16 27.04 26.46 25.89 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29.07 28.35 28.35 28.35 27.47 26.15 24.78 24.78 24.53 23.46 22.68 22.14 22.44 22.00 20.69 20.50 21.29 21.16 20.92 21.34 21.83 21.80 21.81 23.05 23.69 24.34 25.00 25.67 25.77 26.01 26.73 25.89 26.15 27.39 26.84 26.84 27.59 27.04 27.47 26.93 26.93 27.94 27.67 27.94 28.22 27.99 27.49 27.80 27.62 28.29 28.17 28.07 28.44 28.44 28.83 28.78 29.18 28.78 28.78 29.59 30.00 30.00 30.00 30.00 30.00 30.00 30.00 28.33 28.33 28.33 26.25 24.62 22.56 21.73 19.69 17.33 15.06 12.15 10.29 8.86 8.44 9.20 11.12 13.46 16.21 18.87 20.01 21.73 24.51 26.25 26.93 29.09 29.67 29.75 30.92 30.92 30.78 29.61 28.97 28.93 27.80 26.58 24.78 22.99 21.21 19.45 17.72 16.01 13.60 11.80 10.03 8.27 6.51 4.17 2.43 1.67 1.77 2.43 3.58 4.29 5.43 6.51 7.10 8.27 8.92 9.59 10.67 10.67 11.80 13.02 13.67 14.19 15.37 16.59 16.67 17.72 18.30 18.94 20.07 20.07 20.07 21.22 21.83 22.42 22.42 21.93 23.05 23.05 22.58 22.67 22.67 22.67 22.19 21.16 20.01 19.44 19.44 18.46 17.33 17.16 17.16 16.59 15.30 15.02 15.50 14.92 14.84 15.37 15.91 15.33 15.37 16.67 17.45 17.73 17.89 19.94 21.25 22.21 23.21 24.25 26.10 27.70 29.31 30.92 32.86 33.99 33.99 35.14 36.65 37.37 37.27 36.82 36.82 36.37 35.48 35.04 34.21 32.11 30.42 28.33 26.67 26.67 25.00 22.92 21.68 20.42 19.59 18.35 17.09 16.67 16.67 15.00 14.59 14.64 13.91 14.06 13.74 12.65 12.69 12.87 12.60 13.08 13.02 12.98 12.43 12.60 13.29 13.60 14.55 15.81 16.68 17.00 17.33 18.41 20.02 21.25 21.67 22.09 23.01 23.39 23.39 23.57 24.19 24.68 24.52 24.68 24.56 23.55 23.05 23.24 22.24 20.76 20.11 19.30 18.04 16.75 15.47 15.02 15.09 14.39 13.71 13.79 13.44 13.18 13.67 14.14 14.25 14.34 15.02 16.44 17.16 17.33 17.73 17.95 19.51 21.08 21.08 21.08 22.67 24.27 24.56 25.99 27.13 28.44 30.56 31.72 32.88 34.53 35.71 37.73 38.56 19.12 +37.50 40.07 38.57 37.66 37.53 37.17 36.63 35.58 35.08 35.17 34.49 33.99 34.32 34.53 33.96 33.50 33.50 33.37 33.77 34.21 33.75 33.33 33.33 33.37 33.37 32.92 32.54 32.60 32.15 31.77 32.22 33.05 33.05 32.22 31.47 30.65 30.18 30.18 30.65 31.24 30.76 29.94 29.59 29.59 28.77 27.62 26.98 26.17 25.67 25.87 25.83 24.78 23.99 23.21 22.55 21.80 21.06 20.72 20.01 19.76 20.11 20.07 20.07 20.04 20.63 21.83 22.42 22.42 22.46 23.17 23.17 23.17 24.42 25.58 26.09 26.03 27.27 28.38 28.29 29.47 30.64 31.84 33.08 34.36 35.08 35.26 35.94 36.75 38.30 38.95 39.32 40.07 40.49 40.39 39.55 39.27 39.55 39.62 39.62 39.23 38.91 38.66 38.48 38.48 38.37 38.33 38.37 38.19 37.83 37.95 37.92 37.80 38.01 38.48 39.02 39.02 38.77 38.85 39.73 40.28 40.28 40.28 40.28 40.07 40.25 40.25 40.25 40.25 40.25 40.64 40.07 39.90 40.31 40.31 40.31 40.31 40.31 40.31 40.31 40.31 40.73 40.59 39.44 38.87 38.87 38.87 38.45 38.04 37.48 36.75 36.18 34.66 33.36 32.80 31.12 29.07 27.77 26.09 24.61 23.31 21.62 20.16 18.73 16.30 14.34 13.02 11.20 9.59 8.01 7.12 6.72 6.26 6.07 6.15 5.89 6.72 7.45 7.66 7.68 7.10 7.10 7.68 7.66 7.29 7.07 6.72 6.87 7.50 8.50 10.29 11.44 13.02 15.37 17.09 18.94 21.42 23.35 24.62 25.77 26.46 27.30 28.58 29.15 29.73 30.03 29.63 29.87 30.03 29.81 28.90 28.35 28.35 27.80 27.25 26.09 25.31 24.84 23.75 22.98 21.90 21.67 22.36 21.62 20.16 20.01 21.03 21.42 21.29 21.81 22.39 22.40 23.05 23.75 23.93 24.04 24.62 25.89 26.59 26.46 26.46 27.60 27.95 27.04 27.77 28.14 27.59 28.35 27.80 27.47 28.73 28.46 27.94 29.02 28.80 27.80 28.44 28.29 28.64 28.64 28.99 28.90 28.44 29.27 29.66 29.21 28.78 29.59 30.00 30.00 30.00 30.00 30.00 30.00 30.00 30.00 28.33 28.33 28.33 25.42 23.78 22.56 21.35 18.98 16.68 14.49 11.74 10.09 8.44 8.50 10.03 12.39 14.91 17.58 19.30 21.03 23.93 26.25 27.42 28.67 30.33 30.33 30.92 31.50 31.00 30.92 29.75 29.09 28.38 26.03 24.81 23.64 21.87 20.07 18.28 16.50 14.15 12.43 10.62 7.66 6.01 4.29 2.43 1.32 0.83 2.50 3.73 4.75 6.01 7.29 7.86 8.92 10.09 10.75 11.44 12.02 12.60 14.25 15.42 15.60 16.18 17.18 17.18 17.25 18.94 20.11 20.76 21.34 21.34 21.93 23.05 23.05 23.64 23.69 23.75 24.34 24.34 24.42 24.04 24.04 24.04 23.01 21.45 20.88 20.88 20.32 18.83 17.73 17.89 17.89 16.97 16.41 16.59 15.72 15.02 15.50 15.42 15.33 14.73 15.37 16.67 16.76 17.58 18.87 20.32 20.69 21.67 23.21 23.99 26.35 27.94 29.02 30.42 32.36 33.99 33.99 34.32 35.83 36.54 36.44 36.82 36.82 35.54 34.65 34.61 33.75 31.67 30.00 28.33 26.67 26.25 24.62 22.56 21.73 20.90 19.24 18.79 17.92 16.67 16.67 15.42 15.02 15.02 15.09 14.87 13.74 13.45 13.71 13.24 13.44 13.76 13.60 14.15 13.60 14.34 15.15 15.47 16.21 16.64 17.40 18.30 18.63 18.98 20.16 21.73 22.92 23.33 23.78 24.22 24.22 24.76 25.69 26.31 25.50 24.68 25.37 25.37 24.36 24.05 23.75 22.24 21.12 20.62 19.45 18.15 17.58 16.67 15.47 15.09 15.06 14.24 13.24 13.87 13.76 13.60 14.15 14.84 16.08 16.76 17.01 17.16 17.33 18.28 19.81 20.82 21.08 21.08 22.67 23.75 24.05 26.17 27.49 28.61 30.08 31.24 32.88 34.53 35.36 37.37 38.56 19.30 +36.18 39.51 38.77 37.86 36.77 36.14 36.63 36.64 35.89 35.17 35.30 35.14 34.32 33.71 33.50 33.50 33.50 33.37 33.37 33.37 33.33 33.33 32.92 32.54 32.94 32.94 32.54 32.98 33.05 32.22 31.77 31.77 31.84 31.84 31.94 31.94 31.47 30.65 30.18 30.41 30.08 29.59 29.59 29.26 28.61 27.80 27.49 27.49 26.68 25.58 25.56 24.78 23.21 22.55 22.36 22.36 22.18 21.87 21.16 20.92 21.34 21.34 21.29 21.22 21.21 21.81 22.42 22.42 23.05 23.64 24.22 24.22 24.81 25.99 26.54 27.13 27.72 28.28 28.90 30.08 30.69 31.37 32.67 34.00 35.37 36.18 37.02 37.88 38.21 38.77 39.73 40.49 40.93 41.16 41.12 41.39 41.44 41.23 41.23 40.86 40.55 40.31 40.14 40.14 40.03 40.00 40.03 39.76 39.02 38.77 39.06 39.41 39.62 39.55 39.27 39.02 39.55 40.39 40.49 40.28 40.28 40.28 40.28 40.83 41.74 41.18 40.99 40.99 40.99 41.37 40.99 41.37 41.77 41.77 41.77 41.77 41.77 41.77 41.77 41.77 41.60 40.88 40.31 40.31 40.31 40.31 39.90 38.95 37.83 37.09 36.35 35.04 34.49 33.18 31.19 30.42 28.56 26.15 24.62 22.55 20.14 18.63 17.16 14.91 12.87 11.33 9.50 7.66 6.72 5.27 5.00 5.27 5.34 6.48 6.15 6.59 7.66 8.19 8.50 8.37 8.37 8.50 8.19 7.12 6.01 5.34 5.27 5.83 6.59 8.44 10.03 11.79 14.15 16.08 18.03 19.88 21.73 23.58 25.44 26.73 26.87 27.44 28.58 29.30 29.63 30.03 29.87 29.63 29.81 29.26 28.14 27.59 27.59 27.25 26.39 25.39 24.42 23.31 22.55 21.45 20.69 20.88 21.29 21.16 19.88 19.67 20.70 21.22 21.21 21.81 22.42 23.10 23.83 24.42 25.00 25.09 25.89 26.46 26.46 26.73 28.17 28.73 27.44 28.33 29.26 28.14 28.35 28.56 28.48 29.26 28.73 28.22 29.61 29.11 28.61 29.26 28.77 28.77 29.11 29.82 29.73 28.83 29.21 30.05 29.61 29.59 30.00 30.00 30.00 30.00 30.00 30.00 30.00 30.00 30.00 28.33 27.92 27.94 25.06 23.39 22.18 20.62 18.63 15.87 13.71 11.01 9.43 8.98 10.00 11.44 13.79 16.44 18.61 20.34 22.67 25.51 27.34 28.58 29.75 30.92 31.58 32.17 31.58 31.00 30.42 29.26 28.58 27.34 25.00 23.69 22.46 20.76 19.00 16.59 14.74 12.98 11.20 8.27 5.30 4.75 3.58 1.77 0.00 2.36 3.73 5.03 6.01 7.10 8.33 9.72 11.44 12.02 12.02 12.60 13.29 14.45 16.08 16.67 16.76 17.45 18.50 18.50 19.08 20.76 21.34 21.34 21.34 21.93 23.69 24.34 24.34 25.45 25.00 25.00 25.58 25.67 25.09 24.04 24.04 24.04 23.15 22.36 22.36 21.80 20.69 19.81 19.51 19.59 18.83 17.41 16.64 16.21 15.47 15.72 15.60 14.92 15.37 15.37 15.91 16.59 17.25 18.50 19.30 19.59 20.50 22.00 23.53 24.84 26.39 27.67 28.73 30.33 32.24 33.67 33.99 33.99 35.14 35.83 35.71 36.44 36.37 35.09 34.26 33.81 32.94 31.25 30.00 28.33 26.67 25.42 23.78 22.95 21.68 20.45 19.62 19.18 18.35 17.09 16.67 16.26 15.47 15.56 16.03 15.21 14.06 14.25 14.49 14.01 14.35 14.01 14.34 14.78 14.74 16.01 16.30 16.59 17.33 17.73 18.19 19.00 20.43 21.58 21.92 22.28 22.95 23.33 23.75 24.62 25.45 26.33 26.52 26.31 26.48 25.99 25.67 25.87 25.37 24.56 23.99 22.67 21.35 20.62 20.11 19.12 18.04 17.13 16.26 15.47 14.87 14.25 14.24 14.73 14.01 14.34 14.78 15.33 16.08 15.60 16.44 17.16 17.16 18.63 19.59 20.04 21.08 21.08 22.67 22.95 24.05 26.48 27.30 28.11 29.26 31.24 32.88 34.53 35.36 37.01 38.66 19.81 +36.18 38.95 38.01 37.86 37.76 36.92 36.38 36.37 35.67 35.17 35.48 35.00 34.18 33.71 33.50 33.50 33.50 33.37 32.94 32.54 32.92 32.92 32.11 32.11 32.51 32.54 32.54 32.15 32.22 33.05 33.05 32.22 31.47 30.65 30.65 31.47 31.58 30.76 29.82 29.59 29.74 29.26 28.44 27.80 27.49 27.49 27.49 27.19 26.35 25.03 24.78 24.84 24.07 23.67 22.92 22.36 22.58 22.31 21.61 21.42 21.34 21.29 21.22 21.21 21.21 21.81 22.42 22.42 23.01 23.58 24.78 24.78 24.76 25.93 26.52 27.70 28.29 28.38 29.61 30.78 31.50 32.26 32.94 33.75 35.16 36.59 37.65 38.95 39.32 39.39 40.16 41.16 42.18 42.97 43.23 43.27 43.05 42.85 42.85 42.49 42.20 41.60 40.59 40.14 40.03 40.00 40.03 40.14 39.76 39.13 39.55 40.73 41.23 40.93 40.59 40.59 40.87 41.16 41.47 41.80 41.80 41.80 41.80 42.14 42.49 42.14 41.94 41.74 42.30 42.86 42.49 42.86 43.24 42.68 41.94 41.77 41.77 41.77 42.33 43.06 43.24 43.24 43.24 42.68 41.94 41.77 40.81 39.32 38.77 38.21 36.90 35.24 34.14 32.50 30.87 29.56 27.41 26.09 24.25 21.61 19.51 17.41 15.10 12.69 10.83 9.72 7.86 6.01 4.75 3.44 3.44 4.17 4.75 6.15 7.38 7.68 8.50 9.66 10.14 10.03 9.59 8.84 8.01 6.72 5.80 5.43 4.12 3.77 4.29 6.48 8.86 10.67 12.60 14.73 17.16 19.02 20.88 22.75 24.61 26.31 27.04 27.77 28.90 29.63 29.81 30.60 30.60 29.81 29.81 29.81 29.26 28.14 27.39 26.28 25.17 24.78 24.22 23.86 23.67 22.36 21.06 20.72 20.58 21.03 20.83 19.59 20.07 21.21 21.21 21.81 22.46 23.17 23.75 24.34 25.00 25.67 26.35 26.46 26.73 26.87 27.44 28.73 28.17 28.33 29.81 29.26 29.11 29.02 29.52 29.78 28.99 29.53 30.12 29.31 29.61 30.24 29.26 29.11 29.82 30.18 30.18 29.73 29.66 30.05 30.05 30.05 30.05 30.05 30.05 30.05 30.05 30.05 30.05 30.05 30.05 28.38 27.55 27.16 25.12 23.47 21.45 20.28 18.30 15.29 13.24 10.67 9.72 9.81 10.49 12.65 16.03 18.15 19.76 22.00 24.34 26.62 28.38 29.67 30.92 32.09 32.17 31.58 31.00 30.42 29.26 28.67 28.09 26.35 24.62 23.35 21.42 19.00 16.67 14.34 13.02 11.21 8.27 5.89 4.71 4.12 1.77 0.83 2.43 4.12 4.75 6.01 7.29 8.33 9.45 10.09 11.26 11.92 12.60 13.76 14.45 15.60 16.67 16.67 17.25 17.92 19.08 19.76 20.34 21.34 21.93 22.58 22.67 23.75 25.45 25.00 25.00 26.03 25.58 26.25 26.84 26.35 25.89 25.44 25.44 24.87 23.88 23.67 23.31 22.21 21.67 21.36 20.56 19.51 18.49 17.13 16.34 16.41 16.41 16.59 15.87 15.15 15.42 15.37 15.92 17.10 18.35 18.42 18.61 20.01 21.29 22.18 23.86 25.39 25.61 26.88 28.73 30.33 31.43 32.86 33.99 33.99 34.32 35.00 35.36 35.71 35.16 34.65 34.21 33.37 32.11 30.42 30.00 28.33 26.25 25.01 23.75 22.92 21.68 20.42 20.00 18.75 18.35 17.92 16.67 16.67 16.26 16.30 15.92 15.56 15.37 15.29 15.56 15.10 15.47 15.72 16.08 15.95 15.91 16.51 16.67 17.01 17.73 18.08 18.49 19.51 20.83 21.74 22.40 23.22 23.84 24.59 25.00 25.42 25.85 25.89 26.17 26.31 26.80 26.98 26.17 25.87 25.58 24.78 24.25 23.46 22.67 21.93 21.12 20.11 18.63 17.21 16.26 15.42 14.73 14.06 14.24 14.35 13.60 14.34 14.84 15.33 15.37 14.92 16.44 17.16 17.16 18.08 19.04 19.81 20.82 21.08 22.67 22.67 24.27 26.17 26.80 28.44 29.42 31.05 32.54 34.53 35.36 37.01 38.19 19.12 +36.18 39.13 38.77 38.41 37.76 37.17 36.63 35.58 34.36 34.36 34.36 33.71 33.71 33.71 33.50 33.50 33.05 32.54 32.51 32.11 31.68 31.68 32.11 32.51 32.11 31.71 31.71 31.77 31.77 31.77 31.84 31.84 31.94 31.58 30.65 30.18 30.41 30.41 29.94 29.26 29.26 29.74 29.42 28.80 27.99 27.49 27.19 26.62 26.63 26.09 25.31 25.17 24.42 24.22 24.04 22.75 22.31 22.19 22.09 21.93 21.34 21.83 21.81 21.81 21.81 22.40 23.57 23.57 23.57 23.57 24.76 25.34 25.34 25.93 25.93 27.13 28.38 28.58 29.75 31.00 31.90 33.17 33.88 34.32 35.78 37.09 37.46 38.97 40.71 41.16 41.40 41.90 42.69 43.75 44.30 44.07 44.16 44.47 44.47 44.13 43.84 43.37 42.33 41.80 41.70 41.67 41.27 40.52 40.59 41.60 42.00 41.54 41.23 41.23 41.67 42.16 41.90 41.94 42.79 42.79 42.02 42.35 43.11 43.11 42.69 42.69 42.90 43.25 43.60 43.05 43.05 43.60 43.42 42.86 42.86 43.24 43.24 43.24 43.63 43.63 43.24 43.24 43.24 42.86 42.30 41.94 40.99 40.28 39.73 38.08 36.22 34.91 33.81 32.43 30.83 28.46 26.62 25.30 22.74 20.62 19.00 16.68 14.25 12.13 10.31 8.44 5.80 3.73 2.36 1.67 2.36 3.73 5.27 6.72 8.01 8.84 9.59 10.42 11.32 11.70 11.26 10.00 8.76 8.33 7.55 5.56 3.44 2.36 1.67 2.95 6.01 9.15 11.18 12.69 15.10 17.73 20.14 22.00 23.86 26.09 27.39 28.14 29.26 29.81 29.63 29.87 30.03 29.81 29.63 28.90 28.33 27.77 27.04 26.09 25.53 25.17 24.22 23.86 24.04 23.31 22.18 21.87 21.16 20.92 21.34 20.76 20.66 21.21 21.21 21.81 23.05 23.69 23.75 23.93 24.04 24.62 25.89 26.59 27.16 27.87 27.44 28.33 28.33 28.33 29.81 30.01 30.42 30.10 30.33 30.33 30.05 30.85 30.33 29.82 30.42 30.73 30.24 30.08 30.76 30.65 30.18 30.18 30.18 30.18 30.18 30.18 30.18 30.18 30.18 30.56 30.49 30.05 30.05 29.66 29.73 28.90 27.99 26.33 24.76 23.57 21.10 19.94 17.40 15.10 13.29 10.62 9.52 10.03 11.44 13.79 16.87 19.18 21.51 23.75 26.03 28.38 30.14 30.78 31.43 32.02 31.50 31.58 31.68 30.62 29.47 28.20 26.35 24.62 23.46 21.73 19.30 17.34 15.02 12.72 11.33 8.92 6.59 5.43 4.17 1.77 1.18 2.43 3.58 5.30 5.92 7.10 8.33 9.59 10.67 11.26 12.43 13.08 14.34 15.02 15.02 16.67 17.92 18.03 19.08 19.76 20.34 20.92 21.61 22.67 23.17 23.75 23.93 25.00 26.03 25.58 26.25 27.34 27.42 27.51 26.93 26.93 27.16 26.87 26.87 25.91 24.78 24.22 23.53 23.21 22.68 21.08 19.52 18.72 18.19 17.40 17.40 17.41 16.64 16.21 15.47 14.73 14.92 15.37 15.92 17.10 17.77 17.83 18.50 20.58 21.29 21.45 23.86 25.39 25.39 26.93 28.73 29.53 30.42 32.36 33.50 33.36 33.71 34.06 35.25 35.25 33.96 33.88 33.81 32.94 31.25 30.00 29.59 27.94 25.89 25.06 24.22 22.56 21.73 20.90 20.07 18.79 18.75 18.33 16.67 17.09 17.13 16.75 16.38 16.51 16.68 16.08 16.34 15.87 16.21 16.59 16.30 16.67 16.51 17.09 17.13 17.34 18.73 19.19 19.59 20.35 20.82 21.12 22.24 23.37 23.93 25.06 26.25 26.67 26.28 25.89 26.87 27.95 27.62 27.49 27.49 27.19 26.62 25.83 25.31 24.78 23.99 22.67 21.35 20.32 19.30 18.15 16.75 15.42 15.09 14.73 14.49 14.01 13.24 13.76 14.19 14.74 14.73 15.37 16.76 17.01 17.16 17.89 19.38 19.59 20.04 21.08 22.67 23.19 24.51 25.58 26.17 28.93 30.24 30.73 32.36 34.32 35.00 36.54 37.73 19.30 +35.08 38.95 38.77 37.86 36.44 36.14 36.10 35.32 34.36 33.86 33.05 32.54 32.88 32.88 33.13 33.05 32.15 31.71 32.11 32.51 32.09 32.09 32.51 32.11 31.71 31.71 31.71 31.77 31.39 30.56 30.18 30.18 30.65 31.24 30.76 30.18 30.41 30.08 29.59 29.74 29.26 28.93 29.11 29.02 28.22 27.19 26.62 26.35 26.63 26.39 25.39 24.78 24.22 24.22 24.45 23.58 22.77 22.19 22.67 23.17 22.58 23.05 23.05 23.01 22.42 22.42 23.57 23.57 23.57 23.57 24.16 24.78 25.99 27.16 27.27 27.92 28.58 28.78 30.05 31.32 31.58 32.87 34.32 35.04 36.35 37.46 38.08 39.31 40.62 41.40 41.90 42.43 43.23 43.50 43.78 44.37 44.47 44.47 44.47 44.13 43.84 43.84 43.62 43.46 42.97 42.09 41.67 41.74 41.87 42.07 41.85 41.35 41.23 41.23 41.67 42.16 42.16 42.72 42.79 41.70 41.47 42.14 42.69 43.11 43.11 43.25 43.45 44.00 43.80 43.25 43.60 43.05 42.86 43.42 44.16 44.72 44.72 44.72 44.54 43.80 43.24 43.24 43.24 42.86 42.49 42.30 41.18 39.73 38.63 37.76 36.92 35.60 33.75 31.62 29.53 27.49 25.87 23.55 21.10 19.45 17.33 15.09 13.44 11.32 8.76 6.26 4.17 2.50 0.83 0.83 2.50 4.17 5.83 7.10 8.33 9.59 10.00 10.42 11.26 11.70 11.70 11.32 10.42 9.59 8.01 5.56 3.77 2.50 0.59 2.12 4.60 7.38 10.02 12.13 14.25 16.88 19.51 21.36 22.98 24.62 26.28 26.84 27.39 28.33 28.73 29.30 29.63 29.63 29.30 28.73 28.17 27.44 26.87 25.91 25.17 25.01 24.04 22.75 22.44 22.44 21.73 21.03 21.03 21.42 21.34 21.29 21.22 21.21 21.22 21.29 21.93 23.17 23.83 24.42 25.00 25.09 25.89 26.46 27.04 28.44 28.58 28.73 28.73 28.90 30.01 30.42 30.64 30.64 30.64 30.87 31.36 31.62 31.37 30.92 30.73 30.73 31.05 30.90 31.24 31.24 30.41 30.76 30.65 30.18 30.18 30.18 30.18 30.18 30.18 31.01 31.39 30.49 29.66 28.90 29.36 29.36 28.17 26.17 24.52 23.37 21.42 19.52 16.64 14.73 13.02 11.44 10.82 11.70 13.74 16.21 18.61 20.83 23.17 25.51 28.38 30.14 30.73 30.73 31.32 31.96 32.09 32.17 31.10 30.05 29.02 27.30 25.44 23.58 21.73 19.44 17.16 15.72 13.44 11.18 9.72 7.45 5.59 3.73 1.86 0.83 2.43 2.95 4.71 6.48 7.10 8.27 10.03 11.33 12.02 13.08 14.25 14.92 16.08 16.30 17.01 18.50 18.50 18.61 20.25 20.34 20.34 21.42 22.09 23.25 23.83 24.34 25.00 25.67 26.09 26.09 26.75 27.34 27.34 26.84 26.93 28.09 27.74 26.87 26.87 26.09 25.17 24.42 23.53 22.68 21.61 20.83 20.62 20.11 19.00 18.20 18.20 17.40 16.34 15.87 15.10 14.91 15.72 16.67 16.59 17.09 17.72 18.35 19.00 20.45 20.72 20.88 23.86 25.39 25.39 26.39 27.67 28.73 30.33 32.24 32.36 32.54 33.71 33.71 34.89 34.79 33.50 33.05 32.98 32.11 30.42 30.00 28.75 27.11 26.28 25.01 23.78 22.56 21.73 20.90 20.07 19.62 19.18 18.35 17.09 17.92 17.96 17.21 17.33 17.00 17.00 17.18 17.66 16.97 16.77 16.77 17.16 17.45 17.18 18.28 18.30 18.42 19.08 19.44 19.94 20.69 21.12 21.87 22.95 23.05 23.22 23.93 25.06 26.25 26.72 26.72 27.16 27.95 27.80 27.49 27.19 26.62 26.35 26.09 25.61 24.53 23.46 22.68 21.61 20.56 19.52 18.30 17.33 16.30 15.47 15.09 15.06 14.49 14.24 14.73 14.92 14.78 14.74 15.92 16.59 16.76 17.58 18.30 18.63 19.04 20.35 21.67 22.68 23.72 24.51 24.78 25.87 29.11 30.24 30.56 32.20 33.36 34.53 36.18 37.83 19.81 +34.80 38.04 37.27 36.55 35.90 35.36 34.53 34.00 33.55 33.35 32.86 32.69 32.88 32.41 31.94 31.77 31.71 31.71 31.71 31.68 31.67 31.67 31.27 30.88 31.27 31.71 31.32 30.56 30.18 30.18 30.18 30.18 30.18 30.41 30.41 29.82 29.59 29.74 29.26 28.93 28.61 27.80 27.49 27.94 27.94 27.42 26.88 26.09 25.61 25.39 25.53 25.34 24.97 24.61 24.16 24.04 24.04 23.46 23.25 23.17 23.17 23.69 23.64 23.60 23.05 23.01 23.58 24.19 24.78 24.78 24.81 24.92 26.09 27.34 28.09 28.67 28.78 29.15 30.44 31.58 32.06 33.54 35.04 35.67 36.77 38.08 38.77 39.27 40.59 42.16 43.23 43.50 43.78 44.59 44.88 44.67 44.47 44.47 44.79 44.95 44.32 43.84 43.62 43.46 43.02 42.10 42.10 42.57 42.25 41.60 41.37 41.67 41.54 41.23 41.67 42.16 42.16 42.72 42.48 41.94 42.79 43.11 42.69 42.14 42.35 43.25 43.25 43.25 43.25 43.80 43.80 43.25 44.16 44.72 44.72 44.72 44.72 44.72 44.72 44.72 44.72 44.16 43.42 42.30 41.74 41.74 40.28 38.63 38.08 37.22 35.85 34.26 32.41 30.33 28.30 26.80 25.01 22.28 20.07 18.41 16.26 14.17 12.50 10.49 8.19 5.80 3.73 2.36 1.67 2.36 3.73 5.27 6.87 8.50 10.14 11.26 11.67 11.70 11.67 11.70 12.09 12.61 11.79 10.14 8.98 7.45 5.03 2.95 2.50 3.58 5.03 7.10 9.59 11.79 13.44 15.56 18.49 20.56 21.90 22.98 24.42 25.53 26.28 27.77 28.90 29.46 28.90 28.73 29.15 28.73 28.58 27.87 26.87 26.31 25.58 25.01 24.45 23.58 22.31 21.73 22.19 21.61 20.92 21.34 21.29 21.22 21.21 21.21 21.81 22.42 22.46 23.17 23.75 24.34 25.00 25.67 26.35 26.46 26.73 27.44 28.58 29.15 29.30 29.63 30.76 30.97 30.97 31.19 30.87 31.36 31.62 31.89 32.45 31.94 31.43 31.23 31.87 31.72 30.90 31.38 30.90 31.24 31.24 30.76 30.65 30.18 30.18 30.18 30.18 30.65 31.58 31.24 29.59 29.11 29.46 29.11 27.62 26.48 25.17 22.74 21.08 19.59 17.16 14.92 12.98 11.74 11.44 12.26 14.24 17.16 20.34 22.58 24.27 26.58 28.90 30.08 30.69 31.32 32.49 32.54 32.02 31.50 29.94 28.78 27.74 26.31 24.61 22.75 20.88 18.63 16.41 14.35 11.93 9.75 8.21 6.07 3.77 1.67 0.83 2.43 3.58 4.71 7.07 8.27 8.92 10.09 11.21 11.80 12.50 14.25 15.42 16.08 16.67 16.76 17.45 18.50 18.50 19.08 20.76 20.92 21.61 22.67 22.67 23.75 24.42 25.00 26.09 26.25 26.84 27.34 27.34 27.34 27.34 27.42 28.09 28.67 27.74 26.87 26.87 26.09 25.39 25.39 24.53 23.19 22.15 21.63 21.42 20.76 19.94 19.30 18.49 17.49 16.88 16.34 15.56 15.10 15.72 16.67 16.67 17.13 17.69 17.77 18.50 19.88 20.58 21.87 24.04 24.62 25.07 25.85 26.88 28.73 30.33 31.43 31.23 32.36 33.50 33.36 34.06 33.50 32.98 32.54 32.11 31.25 30.00 30.00 28.33 26.67 26.25 24.62 23.39 22.56 21.73 21.29 20.42 19.59 18.79 18.79 18.33 18.35 18.35 17.96 18.04 17.33 17.49 18.49 18.20 17.66 17.52 17.73 18.87 18.61 18.42 18.94 18.86 18.94 19.59 19.76 20.16 21.62 22.21 22.68 22.67 22.74 23.86 24.87 25.12 25.45 26.28 26.72 26.72 27.13 27.49 27.49 27.42 26.88 26.09 25.61 25.39 24.84 23.75 23.21 22.68 21.61 20.56 19.30 18.63 18.04 16.67 15.47 14.87 14.25 14.24 14.91 15.15 14.92 15.37 15.91 15.95 16.67 17.45 17.73 17.89 19.38 20.90 21.67 21.90 23.19 24.27 24.27 25.87 29.11 29.42 30.08 32.06 32.88 35.00 36.31 37.48 19.81 +34.80 38.04 36.71 35.79 35.67 35.06 34.00 33.21 32.74 32.54 32.36 32.36 32.06 31.47 30.65 30.56 30.88 30.88 30.88 30.42 30.00 30.00 30.05 30.05 30.01 30.05 30.10 30.18 30.18 30.18 30.18 30.18 29.82 29.59 29.59 29.11 28.77 28.93 28.61 27.80 27.49 27.49 27.19 27.14 27.14 26.88 26.39 25.61 25.39 25.17 25.34 25.34 24.61 24.16 24.04 24.04 24.04 23.93 23.75 23.17 23.17 23.69 24.22 24.22 23.69 24.22 24.22 24.27 25.45 26.09 26.25 26.25 26.17 26.35 27.62 28.78 29.15 29.63 30.76 32.06 32.62 33.59 35.13 35.90 36.68 38.23 39.27 40.07 41.39 42.18 43.27 44.30 44.07 44.67 45.98 45.98 44.97 44.79 45.43 45.77 45.62 45.49 44.91 43.91 43.46 43.37 42.93 42.13 41.80 41.97 42.20 42.00 41.35 41.74 42.47 42.43 42.16 42.18 41.94 42.48 43.33 43.33 43.11 42.35 42.14 42.49 42.49 42.49 42.49 42.86 43.05 43.80 44.16 43.42 43.24 43.24 43.24 43.24 43.24 43.24 43.24 42.86 42.30 41.74 41.74 40.63 38.63 38.08 37.53 35.60 34.00 32.69 31.14 29.11 27.13 25.34 23.01 20.85 19.17 17.09 15.09 13.44 11.44 9.52 7.86 6.51 4.75 3.77 3.73 4.71 6.59 8.21 9.22 10.02 10.82 11.79 12.92 12.92 12.50 12.92 12.92 12.26 11.62 10.54 9.88 9.15 7.75 6.01 4.60 5.27 5.34 6.15 8.19 10.42 12.92 14.59 16.03 18.49 21.08 22.68 24.07 25.17 25.93 27.39 28.33 28.73 28.58 28.01 28.44 27.87 27.74 27.74 26.73 26.01 25.44 24.87 24.16 24.04 23.46 22.31 22.19 22.09 21.42 21.29 21.22 21.21 21.21 21.21 21.81 22.42 23.05 23.69 23.69 24.34 25.00 25.67 26.35 27.04 27.74 27.74 28.44 29.30 29.63 29.81 31.31 31.31 31.31 32.28 31.96 32.43 32.15 32.69 32.97 32.17 32.45 32.24 32.54 32.54 31.23 31.87 31.72 30.90 31.38 31.72 31.24 30.41 30.41 30.41 30.41 30.41 30.90 31.05 30.24 30.08 29.26 28.61 27.49 26.39 25.83 23.21 20.90 19.19 17.45 15.37 13.08 12.15 12.15 13.74 15.87 18.15 21.34 23.69 25.45 27.72 29.47 30.65 31.25 31.87 33.05 32.54 32.02 31.50 29.47 28.31 27.16 24.61 22.92 21.80 20.14 17.95 15.81 13.45 10.82 8.50 6.87 5.00 3.73 2.36 2.50 3.73 4.75 5.92 7.75 8.86 10.03 11.26 11.84 12.39 13.57 14.78 15.37 15.95 16.59 16.67 17.25 18.42 19.08 20.25 21.34 21.42 22.09 22.67 23.25 24.34 24.34 24.92 26.03 26.09 26.75 27.92 28.58 28.67 28.67 28.67 28.67 28.67 27.74 26.87 26.87 26.09 25.39 25.39 24.78 23.75 22.74 21.93 20.92 20.28 20.28 19.45 17.81 17.00 16.68 16.08 15.81 16.09 16.59 16.76 16.67 16.59 17.09 17.72 19.00 20.34 21.03 22.44 23.31 23.11 24.53 26.09 26.63 28.46 29.82 30.42 30.73 31.87 32.54 32.41 33.13 32.22 32.15 32.54 31.27 30.42 30.00 29.59 27.94 26.72 25.89 24.22 23.39 22.56 21.73 21.73 20.90 19.24 18.79 19.59 19.59 18.35 18.35 18.79 18.87 18.15 18.30 19.30 18.20 18.72 18.73 18.63 19.59 19.30 19.08 19.59 19.48 19.45 20.70 20.92 21.16 21.87 22.36 22.98 23.19 23.75 24.56 25.01 25.12 25.06 25.42 26.28 26.72 27.13 27.49 27.49 27.94 27.94 27.16 26.93 26.70 25.93 24.84 23.75 22.98 21.90 21.08 20.32 19.12 18.15 17.13 16.26 15.09 14.06 14.24 14.91 14.73 14.45 14.78 15.32 15.92 16.59 16.76 17.58 18.87 19.59 20.14 20.82 21.61 22.93 23.99 24.78 26.10 28.80 29.11 29.42 32.20 33.50 35.14 35.83 37.01 19.81 +34.28 36.75 35.40 35.04 34.69 33.75 32.94 32.41 32.45 32.54 31.87 31.05 30.41 30.18 30.18 30.18 30.05 29.61 29.21 29.59 30.00 29.59 29.21 29.61 29.61 28.83 28.83 29.73 30.18 30.18 29.82 28.99 28.64 28.77 28.77 28.77 28.44 27.80 27.49 27.49 27.49 27.19 26.62 26.35 26.09 25.85 26.15 25.93 25.39 25.53 25.17 24.61 25.01 25.31 24.62 24.04 24.04 24.42 24.34 23.83 23.75 23.69 24.27 24.86 24.34 24.92 25.45 24.34 24.92 25.58 25.77 26.84 26.93 26.73 27.87 29.15 29.63 29.81 30.56 32.07 33.05 33.50 34.28 35.60 36.89 38.48 40.07 40.64 40.87 41.15 41.74 43.27 44.37 44.47 44.97 45.98 46.29 45.92 45.43 44.95 45.14 45.49 45.02 43.99 43.46 43.37 42.92 42.53 42.63 42.33 41.72 41.52 41.67 41.74 41.67 41.91 42.16 41.90 41.40 41.47 41.80 41.80 41.80 41.80 41.59 41.74 41.74 41.74 42.30 42.30 42.11 42.68 42.86 42.86 43.24 43.24 43.24 43.24 43.24 42.68 41.94 41.94 41.74 41.18 40.44 38.97 38.08 37.53 35.90 34.00 32.94 31.14 29.11 27.62 26.05 23.84 21.67 20.02 18.41 16.51 14.25 11.86 9.88 8.86 7.68 6.72 6.37 6.37 6.01 7.07 8.86 9.72 10.83 11.86 12.13 12.43 13.44 14.59 15.00 14.59 13.44 12.43 11.86 11.18 10.29 9.50 8.86 8.58 7.68 6.72 6.35 7.10 8.44 10.02 11.93 13.36 15.02 16.85 19.00 21.08 22.98 24.07 24.62 25.34 26.31 27.44 28.44 27.87 27.74 27.62 27.04 27.04 26.46 25.77 24.62 24.04 24.04 24.04 23.93 22.67 21.42 21.34 21.29 21.22 21.22 21.81 21.80 21.21 21.81 22.46 22.52 23.10 23.69 24.34 25.00 25.67 26.35 27.04 27.74 27.74 28.44 29.87 30.60 30.76 31.68 31.68 31.87 32.83 33.05 33.50 33.21 33.47 33.47 33.21 32.97 32.97 33.26 32.74 32.24 32.54 32.54 31.23 31.55 32.36 31.55 30.73 30.73 30.73 30.73 30.73 30.73 30.73 30.73 30.42 29.31 28.50 27.42 26.09 25.61 23.86 21.62 19.44 17.25 15.91 14.01 13.74 14.59 15.57 17.52 20.58 23.17 24.81 26.58 28.90 30.65 31.83 31.84 31.84 33.00 32.49 32.02 30.92 28.31 27.16 25.44 22.92 21.80 20.14 17.95 15.29 12.94 11.44 9.59 7.50 5.83 4.49 4.17 3.44 3.77 5.27 6.01 7.10 8.33 9.59 10.67 11.20 11.80 12.98 14.73 15.33 15.37 16.51 17.13 17.25 18.42 19.00 19.59 20.76 21.34 21.34 21.34 21.93 23.10 23.69 24.27 25.45 26.03 26.62 27.27 27.85 28.44 28.58 28.67 28.67 28.67 28.67 27.74 26.87 26.87 26.09 25.39 25.39 24.78 23.55 22.55 21.74 20.76 20.28 19.80 18.87 18.04 17.33 17.00 16.68 16.08 16.09 16.21 16.30 16.08 16.01 17.10 17.69 19.00 20.34 20.45 21.45 22.36 22.36 24.07 26.09 26.35 27.94 29.02 29.61 30.73 31.05 31.72 31.58 31.84 31.77 31.77 31.71 30.42 30.00 30.00 28.75 27.11 26.72 25.89 24.22 23.39 22.56 21.73 21.73 20.90 19.62 19.59 20.00 20.00 18.75 18.35 19.18 19.62 18.87 18.98 19.94 19.00 19.76 20.04 19.59 19.94 19.59 19.30 19.76 19.59 20.07 21.21 21.34 21.61 22.31 22.58 22.55 23.21 23.99 24.27 23.86 23.93 24.67 25.42 26.25 26.72 27.13 27.49 27.19 27.14 27.94 28.24 27.47 27.04 26.28 25.17 23.86 22.55 21.67 20.82 19.51 17.69 17.00 16.38 15.42 15.02 15.21 15.29 14.55 14.17 14.58 14.92 15.92 15.91 15.95 16.67 18.03 18.87 19.02 19.76 20.69 22.44 22.68 23.19 25.58 26.10 27.49 28.93 29.42 31.87 33.36 34.53 35.36 36.54 19.12 +34.06 36.35 35.40 34.49 33.38 32.19 31.62 31.62 31.37 30.92 30.56 30.56 30.41 30.18 30.18 29.73 29.21 29.18 28.78 28.35 28.33 28.35 28.38 28.35 28.38 28.44 28.38 28.44 28.53 28.53 28.29 27.47 27.34 27.95 27.62 27.13 27.30 27.49 27.49 27.49 27.19 26.62 26.35 26.09 25.85 25.85 25.93 25.73 25.17 25.34 25.74 25.17 25.01 25.89 25.77 24.62 24.04 25.00 25.00 24.42 24.34 24.34 24.34 24.92 25.00 25.00 26.09 25.67 25.67 25.77 26.01 27.74 28.58 28.33 28.90 29.63 30.01 30.76 31.19 32.19 33.75 34.79 35.58 36.64 37.72 38.52 39.32 39.83 40.64 42.04 42.85 43.35 44.16 44.47 44.47 44.97 45.78 45.60 45.11 44.95 44.32 43.84 44.19 44.45 43.91 43.37 43.33 42.93 42.18 41.87 41.60 41.52 41.67 41.04 40.35 40.32 40.59 40.59 40.33 40.16 40.28 40.28 40.28 40.28 40.28 40.99 40.99 40.99 41.37 40.99 41.37 41.77 41.94 42.68 43.24 43.24 43.24 43.24 43.24 42.30 41.55 41.20 40.25 39.88 38.77 37.66 37.31 35.90 33.75 32.15 31.10 29.11 27.13 25.34 23.39 21.67 20.07 18.15 15.87 14.24 13.04 11.44 10.02 9.01 8.44 7.93 8.50 8.44 7.86 9.45 10.62 10.75 11.58 12.69 13.45 13.74 14.06 14.64 15.00 15.02 15.21 15.06 14.24 13.44 12.02 11.21 10.75 10.07 10.02 8.84 8.50 9.15 9.43 9.72 10.83 12.43 14.64 16.30 17.49 19.00 21.12 22.21 23.31 24.61 25.01 25.44 26.46 27.04 27.04 27.51 26.93 26.25 25.67 25.67 25.09 24.04 23.93 23.25 23.17 23.10 21.93 21.34 21.83 21.81 21.25 21.81 22.39 21.80 21.81 23.05 23.05 23.05 23.75 23.83 24.42 25.67 26.35 27.04 27.74 27.74 28.44 29.87 30.60 31.32 32.06 32.24 32.62 32.83 33.81 34.04 34.04 34.28 34.00 34.26 33.47 33.73 34.28 32.97 32.97 32.97 32.97 32.45 31.94 32.74 31.94 31.14 31.14 31.14 31.14 31.14 31.14 31.14 31.14 30.05 29.52 29.26 27.70 26.15 25.17 24.04 22.31 20.76 18.86 17.25 15.87 15.21 15.00 16.08 19.02 21.61 23.17 25.37 27.70 29.47 30.64 31.24 31.23 31.83 33.00 31.84 30.14 28.44 26.35 25.31 23.72 21.80 20.14 17.95 15.29 12.75 11.44 10.03 8.50 6.87 5.27 4.71 5.27 5.00 5.27 6.90 7.29 8.33 10.03 11.21 11.84 11.80 12.37 14.14 15.91 15.92 15.95 17.10 17.10 17.72 18.94 19.00 19.53 20.66 21.29 21.34 21.93 23.10 23.69 24.27 25.45 26.03 26.03 27.16 27.80 27.85 28.38 28.44 28.58 28.67 28.67 28.67 27.74 26.87 26.87 26.09 25.39 25.39 24.25 23.05 22.88 22.40 21.45 20.62 19.69 18.79 18.41 18.04 17.33 17.00 16.68 15.81 15.10 15.72 15.60 15.42 16.50 17.10 18.42 19.30 19.44 20.88 22.36 22.36 23.86 25.61 26.09 27.42 27.99 29.11 30.24 30.08 30.76 30.65 30.56 31.32 31.27 30.42 30.00 30.00 29.59 27.94 26.72 26.72 25.50 23.93 23.57 23.10 22.18 21.73 20.90 20.07 20.45 20.42 20.00 19.59 18.79 19.24 20.07 19.69 20.28 20.92 20.32 20.56 20.82 20.35 20.69 20.32 20.01 20.45 20.25 20.76 21.29 21.21 21.34 22.09 22.31 22.18 22.55 23.21 23.99 24.36 24.87 25.12 25.45 25.83 25.50 25.83 26.98 27.42 26.88 26.63 27.04 26.28 26.09 26.09 25.53 24.61 22.92 21.45 20.35 19.81 18.72 17.49 16.51 15.47 15.02 15.21 15.06 13.97 13.60 14.45 15.02 15.37 14.73 15.37 16.67 17.45 17.73 18.63 19.38 20.14 21.90 22.14 22.93 25.58 25.87 26.17 28.93 30.24 31.05 32.54 34.53 35.36 36.18 19.00 +32.74 35.78 34.85 33.38 32.83 32.19 31.62 31.62 30.85 29.61 28.93 28.93 28.77 28.53 28.53 27.99 27.55 27.94 27.92 27.09 26.67 27.09 27.55 27.11 26.72 26.78 26.72 26.78 26.87 26.52 26.31 26.65 26.52 26.31 26.48 25.99 25.67 25.87 25.87 25.87 25.83 25.56 25.56 25.61 25.07 24.84 24.97 24.97 24.78 24.61 25.01 24.87 24.16 24.62 25.67 25.09 24.04 25.00 25.00 25.00 25.00 25.00 25.00 25.00 25.00 25.09 26.25 26.35 26.46 26.73 26.87 27.44 28.17 28.51 29.26 30.01 30.64 31.96 32.19 32.15 33.21 34.80 36.12 36.69 37.50 38.01 38.30 39.62 41.04 42.17 42.85 43.16 43.97 44.47 44.47 44.47 44.47 44.47 44.62 44.95 44.46 43.84 44.08 44.45 43.99 42.97 42.09 41.67 41.30 41.05 41.14 40.55 40.04 40.04 39.62 39.00 39.02 38.48 38.23 38.85 38.97 38.77 38.77 38.77 38.77 39.51 39.51 39.51 39.90 40.07 41.20 41.20 40.47 40.31 40.31 40.31 40.31 40.31 40.31 40.07 40.25 40.07 39.51 38.57 37.10 36.35 35.24 33.50 32.15 31.10 29.02 26.31 24.87 23.01 20.83 19.24 17.49 15.81 14.55 13.44 12.50 11.80 11.01 10.02 10.03 10.03 10.31 9.52 10.29 12.43 12.43 12.60 13.29 13.60 14.24 15.06 15.37 15.09 15.00 15.02 15.21 15.29 15.10 15.15 14.25 12.96 13.18 12.49 11.33 11.32 11.32 10.54 9.72 10.02 11.44 12.69 13.74 15.00 16.51 17.49 19.51 20.90 21.25 22.58 23.58 24.04 24.62 25.67 25.67 26.25 26.75 26.09 25.00 25.00 25.00 23.93 23.75 23.10 22.52 23.10 23.10 21.93 22.42 22.42 21.83 21.80 21.81 21.81 21.81 23.05 23.05 23.05 24.34 24.34 24.34 25.67 26.35 26.93 28.09 28.78 29.02 29.87 30.76 30.93 31.68 32.62 32.83 32.83 34.36 34.59 34.04 34.82 35.06 34.53 34.00 34.53 34.53 33.47 33.73 33.21 33.21 33.21 32.41 33.21 32.41 31.62 31.62 31.62 31.62 31.62 31.62 31.36 31.65 30.64 29.87 29.66 28.70 27.39 25.17 24.16 22.67 20.66 19.48 18.15 17.13 16.85 17.09 18.72 20.88 22.19 23.75 26.54 28.87 30.05 30.64 31.24 31.83 32.41 32.41 30.65 28.93 27.27 25.09 23.46 21.87 19.94 17.95 15.81 13.57 12.15 10.87 8.84 7.66 6.72 5.30 5.27 6.26 6.26 6.87 7.66 8.01 9.72 11.33 11.80 12.39 12.98 13.55 15.33 15.92 15.32 16.50 17.10 17.10 18.27 18.87 18.94 19.53 20.63 20.63 20.66 22.42 23.05 23.05 24.19 24.78 24.78 25.37 26.52 26.52 27.13 27.75 27.75 27.80 27.92 28.58 28.67 27.74 26.87 26.87 26.09 25.39 24.84 23.19 22.24 22.06 21.92 21.35 20.52 20.07 19.59 18.79 17.96 17.21 16.51 15.69 15.57 15.56 15.87 15.72 15.60 17.10 17.68 18.30 19.08 19.30 20.88 22.36 22.36 23.31 24.53 25.56 26.62 27.19 28.61 29.26 29.11 29.82 30.18 30.18 30.56 30.05 29.59 30.00 29.59 28.78 27.55 26.72 26.33 24.76 23.93 23.47 23.10 23.10 21.81 20.98 20.52 20.90 20.90 20.45 20.42 19.59 20.07 20.62 20.28 21.58 21.74 20.62 21.12 21.35 20.82 21.12 20.69 20.88 21.73 21.42 21.93 22.46 22.40 21.83 21.34 21.42 21.73 22.18 22.55 22.68 22.95 23.86 24.76 25.06 25.00 25.12 25.34 25.67 26.35 26.39 25.61 26.09 26.09 26.09 25.91 25.17 25.01 24.04 22.36 20.69 19.81 18.98 17.69 17.00 16.38 15.42 14.73 14.06 13.74 14.01 14.45 14.34 14.25 14.74 15.92 16.59 16.76 17.58 19.02 19.19 20.14 21.67 22.44 23.21 25.03 25.58 25.87 29.11 30.24 30.56 32.20 34.18 35.36 36.18 19.00 +31.14 34.32 33.54 32.83 32.28 31.41 30.83 30.31 29.53 29.11 28.44 27.62 27.13 26.87 26.87 26.72 26.28 25.89 26.25 26.67 26.67 26.25 25.89 25.89 25.89 25.95 25.50 25.12 25.22 25.34 25.50 25.34 25.34 25.50 25.67 25.37 24.56 24.27 24.27 24.27 24.78 24.78 24.78 25.39 24.84 24.62 24.97 24.78 24.61 24.45 24.16 24.04 24.04 24.04 25.00 25.00 24.04 25.00 25.00 25.00 25.00 25.00 25.00 25.09 25.77 25.89 26.35 26.46 26.73 27.04 27.77 28.33 28.51 28.90 29.66 30.64 31.36 32.43 33.21 33.21 33.26 34.06 35.08 35.67 36.48 37.80 38.91 39.73 40.37 40.86 41.54 42.17 42.66 42.85 43.16 43.97 44.47 44.47 44.13 44.13 44.13 43.84 43.26 42.79 43.16 43.02 42.10 41.67 41.27 40.14 39.48 39.13 38.73 38.41 38.10 37.96 37.70 37.17 37.45 37.53 36.55 35.96 35.78 35.78 36.35 37.31 37.31 37.88 38.45 38.45 38.87 38.45 38.45 38.87 38.87 38.87 38.87 38.87 38.87 39.02 38.77 38.21 37.48 35.96 35.04 34.49 32.83 30.87 29.52 27.94 25.67 24.04 23.10 21.67 19.69 17.49 16.09 14.91 13.87 13.02 12.43 12.49 12.13 11.79 11.67 11.79 12.13 11.74 13.76 14.78 13.60 14.34 15.15 15.47 15.87 16.08 16.18 15.92 15.83 15.47 14.87 14.78 14.73 14.92 15.32 14.25 14.01 14.55 13.45 13.44 13.33 11.79 11.07 11.44 11.79 12.02 12.15 12.61 14.26 15.37 16.60 18.83 19.76 20.72 22.31 23.46 24.04 25.00 24.92 24.34 25.45 26.03 24.92 24.34 24.34 23.75 23.69 23.69 23.10 22.52 23.05 22.46 22.42 22.40 21.81 22.39 22.40 21.81 21.81 23.05 23.05 23.05 24.27 24.86 24.92 25.67 26.35 26.35 27.04 28.44 29.15 29.87 31.32 31.50 31.68 32.98 33.73 33.38 34.36 35.13 34.36 35.13 35.90 35.36 35.06 35.32 34.53 33.75 34.53 34.00 33.47 33.21 32.97 33.75 32.97 32.19 32.19 32.19 32.19 32.19 31.96 31.52 32.07 31.31 30.56 29.81 28.90 28.58 26.35 25.00 23.64 21.83 20.83 19.02 17.40 17.58 19.24 20.32 21.62 23.46 25.58 28.34 30.06 30.64 31.23 32.41 32.41 31.83 30.65 28.87 27.70 26.03 23.93 21.73 19.44 17.33 15.56 13.74 12.15 10.83 8.84 7.45 6.59 6.48 6.90 6.72 7.10 7.19 8.19 8.98 9.72 11.44 12.02 11.92 13.02 14.15 14.14 15.37 15.95 15.91 17.10 17.09 17.69 18.86 18.86 18.87 19.48 20.04 20.03 20.62 21.81 21.80 22.40 23.57 23.57 24.16 25.34 25.93 26.52 27.70 27.13 27.13 27.72 27.80 27.85 27.34 26.93 26.73 26.87 26.09 25.39 24.53 23.47 23.05 22.40 21.45 20.90 20.90 20.45 20.00 19.17 17.50 16.75 16.38 15.56 15.57 15.81 16.21 15.87 15.72 17.13 17.09 17.72 19.00 19.08 20.72 21.80 21.45 22.44 23.99 25.56 25.83 26.39 27.80 28.44 28.29 28.99 29.73 29.66 30.05 28.78 28.75 29.59 28.78 28.38 27.55 26.72 25.50 24.30 24.67 23.39 22.18 23.10 22.28 21.35 21.29 20.85 20.45 21.29 21.25 20.42 21.29 21.35 20.62 21.92 21.92 20.76 22.24 22.15 21.61 21.90 21.45 21.80 22.18 21.73 22.09 22.58 22.46 21.80 21.87 22.58 22.77 22.58 22.36 22.21 22.40 22.44 22.40 23.01 23.75 24.67 25.01 24.56 24.78 25.39 25.39 26.09 25.91 25.17 24.87 24.16 23.72 23.88 23.31 21.80 20.14 18.49 17.40 17.00 16.51 15.42 14.64 13.91 13.74 14.24 14.73 14.45 14.34 15.37 15.91 15.95 16.67 18.03 18.87 19.02 20.50 21.45 21.90 22.93 24.51 24.78 25.87 28.61 29.26 30.41 32.06 33.71 35.36 35.71 18.30 +29.53 32.87 32.06 31.31 30.42 29.33 28.48 28.20 27.94 27.49 27.13 26.65 25.83 25.22 25.22 25.06 25.01 25.06 25.01 25.00 25.00 24.62 24.22 24.22 24.22 24.67 24.76 23.93 23.57 24.04 24.68 24.19 23.70 23.86 24.05 24.27 24.27 24.27 24.27 23.99 23.99 23.99 23.75 23.86 23.86 23.86 24.04 23.88 23.88 24.16 24.04 24.04 24.04 24.04 25.00 25.00 24.04 25.00 25.00 25.09 25.67 25.67 25.77 26.01 26.59 26.46 26.59 27.60 28.33 27.95 28.14 29.26 29.66 30.10 30.87 31.36 31.62 32.15 33.21 34.28 34.36 34.67 35.67 35.98 36.29 37.43 38.73 39.23 39.06 39.55 40.86 41.67 41.54 41.54 42.17 42.66 43.16 43.97 43.80 43.31 43.64 43.50 42.54 41.97 41.87 41.80 41.30 40.00 39.18 39.25 39.02 38.19 37.27 36.29 35.98 36.12 35.32 34.82 35.13 34.91 34.14 34.10 34.32 34.32 35.30 35.87 35.87 36.88 36.44 35.73 36.06 36.75 38.16 38.87 38.87 38.87 38.87 38.87 38.30 37.59 36.59 35.61 34.89 33.92 32.98 31.87 30.42 28.48 26.35 24.27 22.55 21.45 20.07 18.41 16.88 15.32 14.73 14.25 12.98 12.02 12.92 13.57 13.36 13.36 13.57 13.97 14.55 15.15 16.08 15.95 15.37 16.08 16.30 16.59 16.41 15.81 15.37 15.09 15.00 15.09 15.37 15.87 15.72 15.42 16.51 16.67 15.72 16.41 15.81 15.37 15.09 13.76 13.24 12.69 12.02 11.79 11.01 10.82 11.67 13.24 14.25 16.41 18.46 19.44 20.45 21.61 22.67 23.69 24.22 23.69 24.22 24.78 24.22 23.69 23.64 23.05 23.05 23.05 23.05 22.46 22.42 22.42 22.42 22.98 21.81 22.40 23.57 22.98 22.40 23.01 23.60 23.64 23.69 24.34 25.00 25.67 26.25 26.84 27.62 28.44 29.15 29.87 31.16 32.46 32.62 32.80 34.29 34.49 34.69 35.24 35.24 35.67 35.90 35.90 35.90 35.90 35.13 34.36 35.13 35.13 34.36 33.59 33.59 34.36 33.59 32.83 32.83 32.83 32.62 32.98 32.80 32.06 32.80 32.06 31.16 31.01 29.59 28.67 27.85 26.58 24.76 23.17 22.31 21.45 20.62 20.02 20.16 21.12 23.11 24.73 26.75 28.93 29.47 30.06 31.25 31.84 30.65 30.08 29.49 28.28 27.11 24.81 22.09 19.44 17.16 14.91 12.92 11.44 10.00 8.50 7.45 7.07 6.01 5.80 8.01 8.33 8.01 8.19 9.22 10.83 11.58 12.02 12.02 12.60 13.76 14.25 14.15 15.37 16.59 15.92 15.95 16.59 17.13 17.72 17.72 18.30 18.87 18.86 20.04 21.22 21.22 21.25 21.83 23.01 23.58 24.76 25.34 25.34 26.54 27.13 26.52 27.11 28.29 27.75 27.21 27.27 26.84 26.46 26.73 26.09 25.39 24.78 23.75 23.05 22.75 22.18 21.73 21.29 20.00 18.75 18.35 18.35 17.96 17.13 16.30 15.37 15.02 15.66 15.47 15.72 16.59 16.51 17.13 18.50 18.50 20.01 21.06 20.69 22.44 23.99 25.03 24.78 25.37 26.80 27.47 27.34 28.07 28.83 28.78 29.59 28.33 28.33 28.75 27.94 27.99 27.24 26.87 25.22 24.76 25.12 23.47 21.81 22.28 23.10 21.81 21.81 21.73 20.42 21.67 21.67 21.25 22.12 21.73 21.35 22.28 22.40 22.24 23.24 22.44 22.67 22.68 22.21 22.55 22.36 22.18 21.87 22.31 22.09 21.29 21.81 22.42 22.58 22.31 22.18 22.55 22.68 22.44 22.06 22.28 22.52 22.56 23.37 24.27 24.78 25.39 25.39 26.09 26.31 25.58 25.31 24.62 23.01 22.44 22.44 21.45 20.32 18.83 17.13 15.87 15.37 14.64 13.76 13.44 13.74 14.24 14.35 14.01 14.34 14.78 14.73 15.37 16.67 17.45 17.73 18.63 19.59 20.04 21.08 22.67 24.27 24.27 25.87 27.80 28.93 30.56 31.72 33.23 35.25 35.71 18.20 +29.02 31.58 30.60 29.81 29.11 28.24 27.70 27.41 26.62 25.87 25.50 24.87 24.04 23.57 23.57 23.39 23.35 23.39 23.35 23.33 22.92 22.56 22.95 23.39 23.01 22.56 23.10 23.57 23.22 22.40 22.55 23.05 22.55 22.24 22.44 22.67 22.67 22.67 22.67 22.68 22.44 22.44 22.55 22.36 22.36 22.36 23.15 23.15 23.15 24.04 24.04 24.04 24.04 24.04 25.00 25.00 24.04 25.00 25.00 24.62 25.77 26.46 26.59 26.01 25.89 26.59 27.21 27.95 28.51 28.70 28.35 29.11 30.10 30.58 31.36 31.62 31.62 31.89 32.74 34.06 34.36 34.49 35.48 36.29 36.94 37.27 37.75 38.73 39.06 39.06 39.06 39.55 40.73 41.35 41.67 41.54 41.35 42.17 42.35 41.67 41.85 42.34 42.20 41.60 40.68 40.14 39.69 38.77 38.34 37.97 36.82 36.07 35.83 34.81 34.36 34.28 33.21 32.73 32.28 31.52 31.87 32.80 33.02 32.87 33.75 33.75 33.75 34.68 34.32 35.02 36.06 36.52 36.52 36.06 36.63 37.33 37.45 36.88 35.73 35.02 33.88 32.87 32.87 31.89 29.81 28.51 27.04 25.31 23.99 22.24 20.28 18.41 16.67 15.37 14.91 13.87 13.02 13.67 13.44 12.92 14.73 15.00 15.09 15.37 15.81 16.41 17.16 17.45 17.25 17.72 17.13 17.25 18.03 17.89 17.18 16.60 16.18 15.92 15.83 15.92 15.87 16.21 16.76 16.59 17.72 18.03 17.16 17.73 17.66 17.49 16.75 15.83 15.09 13.74 12.69 12.02 10.67 10.29 10.49 11.79 13.24 14.78 16.59 18.15 19.18 19.67 20.70 21.81 22.42 23.05 23.58 23.57 23.01 23.05 23.58 22.42 22.42 22.42 22.42 22.42 22.42 22.42 22.42 23.57 22.42 22.42 23.57 23.57 23.57 23.57 24.19 24.22 24.22 24.92 25.00 25.58 26.17 26.93 27.74 28.44 29.15 29.87 30.60 32.06 32.80 32.98 33.93 34.49 35.04 35.24 35.67 35.67 36.00 36.55 36.55 36.55 35.79 35.24 35.45 35.24 35.04 34.29 34.29 35.04 34.29 33.54 33.54 33.36 33.02 33.59 33.59 32.87 33.44 33.17 32.36 32.36 31.00 28.97 28.90 28.28 26.03 24.51 23.31 22.68 22.24 21.68 21.81 22.95 24.62 26.15 28.00 28.97 29.49 30.05 30.69 30.73 29.49 29.49 28.90 27.11 25.34 22.42 19.59 17.01 15.47 13.46 10.82 8.84 8.01 7.45 7.07 7.29 6.90 6.87 8.76 9.59 9.32 9.75 10.62 11.93 12.49 12.15 12.60 13.76 14.34 14.34 14.25 15.42 16.67 15.95 15.92 16.59 16.67 17.25 17.77 18.35 18.94 18.87 20.07 20.70 20.07 20.70 21.93 23.10 23.05 23.69 24.27 24.81 26.03 26.03 26.58 27.70 28.28 27.13 27.16 27.80 26.84 26.35 25.89 24.61 23.86 23.21 22.44 22.24 21.92 21.73 21.29 20.42 19.62 18.79 18.35 18.35 17.92 17.09 16.26 15.56 15.29 15.10 14.91 15.15 15.42 15.92 17.10 18.42 17.92 18.87 20.50 20.50 22.21 23.46 23.99 24.27 24.56 25.50 26.52 26.87 27.24 27.99 27.94 28.75 28.33 27.92 27.94 27.16 27.24 26.87 26.87 25.22 24.87 25.34 24.04 22.28 21.81 23.10 22.28 22.18 22.56 21.29 22.09 21.67 21.67 22.92 22.12 22.18 23.10 23.22 23.37 23.05 22.74 23.75 22.67 22.40 23.21 22.55 22.36 22.75 23.01 22.19 22.00 22.46 22.40 21.83 21.42 21.16 21.45 21.45 21.35 21.74 21.92 21.68 21.73 22.40 23.75 24.78 25.39 25.17 25.17 25.44 25.44 25.77 25.09 23.46 22.31 21.61 20.45 19.44 18.63 17.41 16.08 15.37 14.73 14.17 14.26 14.06 13.71 13.24 13.44 14.34 14.25 14.74 15.92 16.59 16.76 17.58 19.02 19.19 19.59 20.82 22.67 24.27 24.27 25.87 27.49 28.61 30.08 31.24 32.88 34.89 36.07 18.49 +27.70 30.44 29.30 28.33 27.59 26.93 26.93 26.09 24.78 23.75 23.05 23.22 23.57 23.57 23.10 22.56 22.52 22.12 21.68 21.67 21.68 21.73 21.68 21.73 21.45 20.90 21.35 21.92 22.06 21.74 21.25 21.42 21.42 21.42 21.35 21.08 21.08 21.08 20.82 20.90 20.90 20.69 21.06 21.80 22.18 21.45 21.87 22.44 22.31 22.77 23.46 24.04 23.93 23.25 23.75 24.42 24.04 25.09 25.67 24.62 24.62 25.31 25.89 25.89 26.15 27.21 27.39 27.21 27.59 28.90 29.11 29.02 29.80 30.31 31.10 31.62 31.89 32.74 33.35 33.55 33.86 33.99 34.49 35.30 35.96 36.78 37.27 37.75 38.57 39.06 39.06 39.06 39.73 40.04 40.04 40.73 40.54 40.04 40.73 40.86 40.55 40.70 40.55 40.42 39.95 38.93 38.48 38.37 37.92 36.68 35.48 35.25 34.89 34.18 33.86 32.74 31.65 31.65 30.64 29.66 30.20 30.60 31.01 31.45 31.78 31.68 31.68 32.09 32.09 33.33 34.59 34.59 33.92 33.92 35.08 35.17 34.68 33.63 33.05 33.05 32.02 31.45 30.87 29.30 27.39 26.09 23.86 21.90 20.56 19.12 18.04 16.67 14.73 13.46 13.76 13.55 12.60 13.24 13.97 14.73 16.67 16.75 17.00 17.40 17.95 18.63 18.87 18.61 19.00 19.48 18.30 18.42 19.08 18.46 17.95 17.40 17.00 16.75 16.67 16.75 16.88 17.33 17.92 17.72 18.94 19.88 19.02 18.83 19.51 19.81 18.63 17.58 16.67 15.09 13.74 12.15 10.17 9.01 8.99 10.00 11.44 12.69 14.01 15.72 17.83 18.35 19.48 21.21 20.63 21.21 22.40 22.98 22.40 21.81 22.98 22.42 22.42 22.42 22.42 22.42 22.42 22.42 22.42 23.57 22.40 21.81 22.98 23.57 23.57 23.58 24.22 24.22 24.22 25.45 26.03 26.09 26.25 27.04 27.74 28.44 29.15 29.87 30.76 31.68 32.24 33.54 34.29 34.29 35.04 35.79 36.55 35.79 35.79 36.55 36.55 36.35 36.15 36.35 35.60 35.40 35.40 34.49 35.05 35.78 35.05 34.16 34.59 34.45 33.75 34.45 34.32 34.21 34.21 33.42 33.33 33.26 32.49 30.65 29.47 29.52 28.00 26.73 25.53 23.46 22.24 22.09 23.10 24.27 25.39 26.87 28.67 29.09 29.52 30.06 30.65 30.69 29.49 28.90 27.72 25.93 23.57 20.07 17.77 15.72 14.35 12.13 10.03 8.33 7.12 7.07 7.29 7.66 7.68 8.33 9.66 10.14 11.12 11.61 11.74 12.30 13.04 12.87 13.29 14.45 14.34 14.34 14.92 16.08 16.67 16.59 16.51 17.10 17.72 18.35 18.35 18.35 19.00 18.94 19.53 19.59 19.59 20.76 22.58 23.17 22.52 23.75 24.92 25.45 26.03 26.03 27.27 27.80 27.13 26.52 27.11 27.13 26.09 25.67 25.19 24.45 23.86 23.21 22.44 21.74 21.10 20.90 20.42 19.59 19.24 19.24 18.79 17.96 17.09 16.67 16.67 16.30 15.37 14.78 14.91 14.73 14.92 15.92 17.10 17.77 17.25 18.15 19.94 20.14 21.67 22.68 22.67 23.55 23.86 24.68 25.83 26.52 26.87 26.78 26.68 28.33 28.33 27.09 27.11 26.72 26.33 26.41 26.87 25.22 24.04 25.34 24.87 23.10 22.18 22.18 22.64 23.01 22.56 22.12 22.92 21.67 21.67 23.33 23.35 23.47 23.57 23.57 23.57 23.22 23.86 24.56 23.19 22.93 23.72 23.21 22.55 23.67 23.31 22.31 23.35 23.10 22.42 21.80 21.29 20.92 21.16 21.06 20.82 20.62 20.28 20.45 20.90 21.10 21.93 23.21 23.86 24.04 24.16 24.04 24.04 25.00 25.00 23.93 22.67 21.42 20.34 19.44 18.63 17.95 17.13 15.87 15.21 15.00 14.64 13.91 13.45 13.46 14.17 14.45 14.34 15.37 15.91 15.95 16.67 17.45 18.46 18.63 19.38 20.90 22.68 23.99 24.27 25.37 26.80 27.95 29.59 31.24 32.88 34.06 35.61 18.63 +26.10 28.58 27.44 26.87 26.09 25.39 24.84 23.46 22.67 22.44 22.24 22.06 21.92 21.92 21.35 20.45 20.45 20.85 20.42 19.59 19.18 19.62 19.62 19.24 19.80 19.69 18.87 18.63 19.12 20.11 20.11 19.81 19.81 19.52 19.76 20.56 20.82 20.04 19.81 20.14 19.94 19.76 19.94 20.50 21.29 21.16 20.58 21.03 21.51 21.61 22.19 22.67 23.17 23.17 23.25 23.93 24.04 24.62 25.77 25.89 25.44 25.44 26.01 26.87 27.39 27.59 27.95 28.14 28.24 29.33 30.10 30.05 30.05 30.05 30.85 31.89 32.74 33.35 33.05 33.05 33.67 34.32 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32.20 32.36 32.36 32.36 32.36 32.54 33.05 33.35 33.55 33.86 34.17 34.36 34.17 33.99 33.67 32.86 32.36 32.69 32.88 32.41 31.58 30.10 28.83 28.38 27.92 27.09 26.28 25.22 23.86 22.95 22.40 21.67 21.62 22.44 22.67 23.01 23.57 24.78 25.99 26.58 26.62 27.27 27.85 27.85 27.85 27.85 27.80 27.13 26.54 25.37 23.58 22.39 21.81 19.53 17.25 16.08 14.34 12.15 10.62 8.99 8.01 7.45 7.07 8.21 10.14 12.50 15.47 18.04 18.63 20.62 22.67 23.46 24.53 25.39 26.28 26.65 26.87 26.59 25.89 25.00 24.22 22.99 22.98 22.42 20.34 19.59 18.73 17.92 17.00 16.67 16.75 16.60 16.59 17.92 20.04 22.00 23.01 23.88 24.78 26.15 26.88 26.62 25.58 24.56 23.86 21.58 19.80 17.21 13.81 11.26 7.93 4.75 2.95 3.17 5.30 7.07 9.45 11.26 12.43 14.34 15.60 16.08 16.67 17.25 17.77 17.72 17.72 18.94 19.48 18.86 19.45 20.62 20.63 20.63 21.80 22.39 21.80 21.81 22.42 22.42 23.05 23.69 23.75 23.93 24.04 24.04 24.16 25.01 26.31 26.87 27.04 27.39 27.59 28.35 29.87 30.64 31.19 32.28 32.83 32.83 32.83 34.36 34.36 34.14 35.24 34.29 34.85 35.22 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29.82 30.12 29.61 29.82 30.62 30.73 30.73 30.92 30.92 30.73 30.24 29.74 29.74 29.26 28.64 28.17 26.87 25.12 23.78 23.33 22.92 21.73 20.43 19.76 19.51 19.94 20.01 20.34 21.83 22.40 23.69 24.34 25.00 25.67 25.09 25.89 25.89 25.89 25.89 24.62 24.04 23.35 22.09 19.59 17.77 17.25 14.78 12.98 11.20 8.33 6.59 5.03 3.44 3.73 5.43 7.10 10.14 13.74 16.08 18.72 21.08 22.68 24.53 25.61 25.93 27.59 29.26 28.90 28.73 28.73 27.74 27.51 26.25 24.27 23.58 23.57 22.42 20.34 18.46 17.18 16.60 15.69 15.00 14.87 15.32 16.44 17.72 19.59 21.73 23.88 25.53 25.93 26.93 28.73 28.46 27.42 27.19 25.87 23.75 21.93 19.30 15.87 13.24 9.81 5.56 3.77 1.32 2.36 4.12 6.59 9.15 9.72 11.01 12.87 13.29 14.45 15.60 16.08 15.95 16.51 17.69 18.27 18.86 18.86 18.86 18.86 20.04 20.63 20.63 21.22 21.81 22.42 23.10 22.58 22.67 24.04 24.04 24.16 24.45 24.61 24.78 25.17 25.61 26.63 26.63 26.88 27.94 27.94 29.26 29.78 30.05 30.85 31.10 31.62 32.15 32.43 32.19 32.73 33.81 33.38 32.98 33.54 32.62 33.02 34.16 33.88 33.75 33.63 33.42 33.92 34.42 34.30 34.85 35.40 35.36 35.36 35.36 35.40 36.02 36.65 36.18 35.75 35.94 35.16 34.32 33.54 32.73 32.41 31.43 30.41 30.18 30.00 29.82 29.26 28.73 28.01 27.59 27.60 26.46 24.62 23.35 22.00 20.25 18.42 15.42 12.02 9.88 7.68 5.56 4.71 6.59 8.01 9.17 11.79 13.24 14.25 15.81 17.41 16.97 17.33 18.46 18.87 18.03 18.03 18.03 17.25 17.77 18.35 18.35 18.30 18.87 18.86 18.86 18.86 18.86 18.86 18.87 18.30 18.94 19.53 19.53 19.53 19.53 20.76 21.42 22.19 22.67 23.17 24.51 25.89 25.89 26.46 29.02 29.47 30.05 30.05 29.94 31.00 30.78 30.73 29.49 28.87 28.34 27.42 27.16 26.47 25.39 24.51 24.19 24.22 23.75 23.39 23.57 23.57 23.57 23.86 23.86 23.37 22.55 21.92 21.35 20.42 19.59 18.87 18.80 19.00 18.98 18.83 19.02 19.30 19.00 18.87 18.86 19.48 19.59 19.76 20.72 20.32 20.69 21.12 21.08 22.44 22.44 22.24 23.22 23.57 23.57 23.93 23.84 23.39 24.62 24.59 23.33 25.00 25.00 23.75 25.01 25.01 25.01 25.01 24.62 25.06 25.50 26.41 26.05 25.69 26.17 26.52 26.87 26.52 26.65 27.13 27.13 27.13 26.31 25.99 26.98 26.39 26.10 26.10 25.83 25.83 25.03 24.53 23.53 22.55 22.36 22.18 20.45 19.00 17.72 15.92 14.84 13.60 13.45 13.81 14.73 15.81 16.77 17.58 18.50 19.53 20.63 21.22 22.40 22.40 21.81 21.81 21.81 20.76 20.34 20.34 18.63 17.95 17.40 17.00 16.75 16.67 16.67 16.75 17.00 16.68 16.34 16.41 16.77 17.16 17.58 18.42 18.35 18.30 19.48 19.53 19.59 21.73 22.58 22.75 24.22 26.70 27.70 28.48 30.83 31.89 33.26 35.98 20.14 +14.35 16.51 15.37 15.37 14.25 12.60 12.02 11.18 10.62 9.88 8.98 8.70 8.50 8.37 7.93 7.10 6.67 6.67 6.67 7.10 7.55 7.19 6.87 7.38 7.91 7.66 7.45 7.45 7.45 8.01 9.15 9.72 9.59 9.01 9.59 10.67 11.21 11.80 11.84 11.80 11.79 12.37 12.39 12.39 13.55 14.14 14.14 14.14 14.73 15.37 16.08 17.25 17.92 18.50 18.50 18.61 19.30 19.44 19.44 19.59 19.94 20.69 21.80 22.21 22.68 23.46 23.99 24.27 24.27 24.78 25.58 26.17 26.98 26.80 26.31 26.98 27.30 27.13 27.30 27.30 27.62 28.11 27.80 27.62 27.95 27.80 27.30 26.80 26.17 26.17 26.98 27.49 27.49 27.49 27.99 28.50 28.22 27.70 27.99 28.80 29.11 29.11 29.31 29.31 29.11 29.11 28.93 28.93 28.61 27.13 25.83 25.01 24.04 23.01 22.09 21.67 21.25 20.16 19.00 18.19 18.63 19.44 19.76 20.66 21.81 23.10 23.83 24.51 24.62 24.04 24.87 25.01 25.01 24.45 23.15 23.15 21.87 19.44 17.58 16.18 15.02 12.60 10.75 8.33 5.30 4.12 1.86 2.12 4.60 6.37 8.70 12.39 15.56 17.95 20.35 22.98 24.07 25.39 26.70 27.59 29.26 29.81 29.63 29.30 29.15 28.44 27.04 25.67 24.92 24.19 22.98 21.22 19.00 17.73 17.18 16.08 15.21 15.00 15.06 15.10 15.60 17.69 19.67 21.73 23.88 26.28 26.70 26.93 29.52 29.26 27.94 27.94 26.62 24.78 22.67 20.56 17.40 14.25 10.54 6.90 5.27 2.12 0.59 2.43 5.03 7.45 9.32 10.07 11.18 12.15 13.29 14.45 14.92 14.78 15.37 15.95 16.51 17.69 18.27 18.86 18.86 19.45 20.63 20.63 20.63 21.29 21.42 22.19 22.19 22.31 23.15 23.15 24.04 24.22 24.22 25.17 25.61 26.09 26.35 26.62 27.19 27.49 27.49 27.99 29.31 30.12 29.82 30.33 30.85 31.10 31.62 31.62 31.36 32.19 32.28 31.87 32.98 32.06 31.89 32.87 33.17 33.63 33.42 33.33 33.33 33.26 33.13 33.67 34.20 34.77 35.36 35.40 35.43 35.43 35.48 35.67 35.94 36.06 35.16 34.49 34.49 33.50 32.41 31.94 30.90 30.18 30.00 29.73 29.11 28.80 28.20 27.80 26.84 25.17 23.58 22.31 21.03 19.18 16.87 14.01 11.18 8.98 6.67 6.01 6.01 7.38 9.20 11.32 13.24 14.25 15.81 17.41 17.95 17.73 18.63 19.59 19.44 18.61 19.08 19.00 18.94 19.48 18.87 18.30 18.94 19.48 18.86 18.86 18.86 18.86 18.86 18.86 18.86 20.07 20.07 20.07 20.66 20.63 21.29 21.93 23.17 23.83 23.75 25.00 26.35 26.93 28.09 30.05 30.05 30.05 30.62 31.10 32.26 31.43 30.73 30.08 30.05 29.52 28.58 27.74 27.04 26.15 24.78 23.86 23.84 24.59 25.06 25.22 25.22 24.87 24.36 23.86 23.86 23.86 23.57 23.10 22.12 21.67 21.29 20.28 19.81 20.56 20.82 20.14 19.59 19.30 19.59 19.48 18.86 19.53 20.17 20.34 20.01 20.88 21.06 20.69 22.68 22.40 21.35 22.24 23.22 23.57 23.10 23.01 23.39 23.78 24.18 23.78 24.62 25.01 24.62 25.06 25.06 25.06 25.50 25.12 25.12 26.41 26.87 26.52 26.65 26.31 26.31 27.13 27.13 27.13 27.13 27.13 27.13 26.80 26.98 27.49 27.19 26.10 26.10 26.10 25.30 25.83 24.78 23.75 23.31 22.36 21.80 19.76 18.15 17.25 15.91 14.84 13.44 12.39 11.79 12.15 13.71 15.47 17.01 18.42 18.89 20.04 20.63 21.22 22.39 21.81 21.81 21.81 20.25 20.34 20.45 19.38 18.73 18.20 17.49 16.75 16.67 16.67 16.75 17.00 17.00 17.40 17.95 17.73 17.89 18.87 19.30 19.08 19.00 20.04 20.04 20.07 22.09 22.31 23.15 24.61 26.28 28.01 28.78 30.58 31.62 33.21 36.40 20.88 +12.49 14.73 14.14 13.55 11.80 10.67 10.09 9.01 8.58 8.01 7.45 7.12 6.37 5.89 6.26 6.67 6.67 6.67 6.26 5.43 5.07 5.27 5.27 5.27 5.59 6.15 6.90 7.45 7.45 7.29 7.17 7.75 8.86 8.27 7.66 8.27 9.43 10.61 10.62 10.62 11.20 11.79 11.79 11.79 12.37 13.55 14.14 14.14 14.15 14.25 14.84 15.37 15.37 16.01 17.34 18.03 18.15 18.87 19.44 19.19 19.38 19.38 20.14 21.12 21.61 22.40 22.67 22.67 22.95 23.75 24.27 24.36 25.17 25.37 24.68 25.17 25.67 25.50 25.67 25.67 25.50 25.67 25.87 25.50 25.50 25.87 25.37 24.56 24.27 24.36 25.17 25.87 25.87 25.87 25.87 26.10 26.62 27.19 27.49 27.19 26.39 25.87 26.39 27.19 27.49 27.49 26.98 26.17 25.87 25.37 24.68 24.68 24.19 23.10 21.73 20.42 20.00 19.62 18.63 17.92 18.08 18.15 18.50 20.07 21.81 22.46 22.67 23.01 23.15 23.15 23.88 24.61 24.04 22.92 22.36 21.80 19.94 17.33 16.21 14.91 12.30 10.62 8.76 5.59 3.73 1.86 1.77 4.12 6.01 8.01 11.18 14.91 17.33 19.94 21.80 23.86 25.17 26.28 28.14 29.26 29.81 29.81 29.81 29.63 29.30 28.44 27.62 26.75 26.03 24.78 22.40 20.66 19.00 17.58 16.41 15.57 15.21 14.59 14.49 14.91 16.08 18.28 20.17 22.31 24.04 26.48 27.25 27.47 30.05 30.05 28.73 28.46 27.14 25.83 23.19 21.08 18.98 15.56 11.38 8.01 6.90 3.73 0.59 1.67 3.77 5.56 8.19 8.98 9.72 11.44 12.60 13.76 14.25 14.19 14.84 14.78 15.37 15.95 16.51 17.72 17.72 17.72 18.94 19.53 19.59 20.34 21.03 21.73 21.73 22.44 23.31 22.92 23.86 24.07 23.75 24.78 25.83 26.10 26.10 27.19 27.49 27.49 27.80 27.62 28.44 29.42 29.11 29.92 29.61 29.82 30.85 31.10 30.58 30.87 31.41 30.42 31.52 31.31 30.37 30.76 31.01 31.90 32.36 32.26 32.75 32.60 32.49 33.05 33.00 33.59 34.18 34.22 34.85 35.48 35.60 35.17 34.79 35.60 36.02 35.40 34.69 34.04 33.21 32.74 31.87 31.01 30.83 30.05 28.99 28.61 28.22 27.70 26.15 24.62 22.92 21.87 20.16 17.73 15.30 12.69 10.54 8.50 6.87 7.07 7.45 8.50 10.83 12.98 13.91 15.37 17.40 18.19 18.49 18.83 19.94 20.32 20.01 20.34 20.17 19.53 20.11 20.07 19.45 20.04 20.62 20.04 18.86 18.86 18.86 18.86 19.45 20.04 20.07 20.62 20.63 20.63 21.25 21.22 21.81 23.05 23.69 24.34 24.92 25.51 26.84 28.09 28.67 30.05 30.62 31.10 32.26 32.75 33.33 32.60 31.87 31.83 31.24 30.10 29.09 28.31 27.60 26.15 25.58 25.50 25.58 25.85 25.89 26.41 26.52 25.83 25.67 25.50 25.50 25.50 24.87 24.04 23.39 23.33 22.92 22.18 21.74 21.35 21.08 20.82 20.69 20.88 21.16 20.34 19.59 20.62 20.66 20.11 20.25 21.16 20.72 20.88 22.00 21.36 21.08 21.35 22.74 23.37 22.40 22.75 23.10 23.01 24.67 24.76 23.93 25.12 25.12 25.12 25.12 25.12 26.41 25.69 25.83 27.13 27.13 27.13 27.13 26.80 26.98 27.49 27.49 27.49 27.49 27.49 27.49 27.49 27.49 27.49 27.49 26.39 26.10 26.10 25.83 25.83 24.51 24.25 23.21 21.67 20.90 19.38 18.46 17.45 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28.48 26.93 26.93 26.39 24.53 23.46 22.14 21.61 20.83 20.11 18.63 18.04 17.96 15.83 15.47 16.38 14.87 14.25 14.24 14.91 15.72 16.08 17.18 17.69 18.94 20.11 20.34 21.73 22.58 23.15 23.72 24.22 25.53 25.93 26.39 26.63 26.88 27.94 28.50 28.30 28.11 27.62 27.13 26.52 25.50 25.12 24.76 23.57 22.55 21.74 20.32 18.49 17.73 17.83 17.68 17.83 19.19 21.08 23.55 25.34 26.78 28.35 28.78 30.18 32.06 32.36 32.74 32.41 32.19 33.05 31.87 30.60 30.74 31.00 30.20 28.93 28.28 28.34 28.97 29.09 28.67 28.67 28.78 29.02 29.73 30.87 30.87 29.87 30.44 31.45 32.02 33.17 33.75 33.75 34.21 35.26 35.94 37.01 38.01 38.59 39.70 40.77 41.87 41.87 42.46 43.62 43.62 43.05 42.49 42.49 41.94 40.93 40.59 39.76 37.88 36.52 36.00 35.58 35.48 35.00 34.33 35.04 35.83 35.87 36.37 37.01 37.01 37.01 37.01 37.01 37.01 37.01 36.54 35.48 35.09 35.09 34.61 33.75 32.94 32.11 31.71 31.01 29.36 28.17 27.95 27.62 26.48 26.10 25.83 25.31 24.62 23.11 23.15 23.46 22.77 22.58 23.01 23.57 23.58 23.64 24.34 25.09 24.62 25.44 26.87 27.04 27.39 27.59 28.35 28.90 28.70 29.11 29.56 29.33 29.11 29.11 29.87 29.87 28.35 27.80 28.24 28.48 27.16 26.63 26.63 26.09 25.56 25.03 24.78 23.75 22.74 22.24 21.74 20.76 20.28 20.28 18.63 17.33 16.38 14.64 13.76 12.92 11.32 8.84 6.72 5.56 4.29 4.12 3.95 4.75 6.07 7.91 9.88 11.38 12.94 14.78 16.41 16.88 17.49 19.00 20.43 21.35 22.18 23.39 24.59 25.42 25.85 25.89 26.41 26.87 27.34 27.95 27.95 28.44 29.11 29.31 29.53 29.26 28.99 29.26 29.56 29.87 30.01 30.60 31.45 31.45 32.36 33.33 34.36 35.40 35.94 36.55 37.79 39.76 28.78 +8.50 9.52 10.29 10.54 10.54 10.14 10.14 10.62 10.96 10.49 10.42 11.32 11.70 11.67 11.67 11.67 11.67 11.67 11.70 11.70 11.26 10.42 10.42 10.96 10.49 10.00 10.14 10.14 9.59 9.32 9.32 8.84 8.50 8.19 7.19 6.87 6.59 5.80 5.59 5.27 5.03 4.75 4.12 3.58 3.73 3.95 3.77 3.33 3.33 3.77 3.95 4.49 5.03 4.75 5.34 6.01 5.34 6.01 6.01 5.30 6.51 6.51 6.48 6.48 5.89 5.92 6.48 6.51 5.92 6.48 6.51 6.48 6.48 5.89 6.51 7.17 7.10 7.10 7.29 7.29 7.10 7.68 8.33 8.33 8.33 7.75 7.29 7.29 7.10 7.68 8.27 8.25 7.68 7.68 7.68 7.29 7.86 8.33 7.86 7.45 7.45 8.01 8.76 8.98 8.98 9.52 10.83 11.86 12.65 13.45 13.74 14.25 15.06 15.37 15.69 16.51 16.75 16.26 15.92 15.83 15.92 15.92 15.37 14.25 13.71 12.69 11.58 10.67 9.43 8.33 6.90 6.26 6.87 6.72 6.59 8.21 9.22 10.31 12.15 14.19 15.69 16.68 17.49 19.00 20.56 21.67 22.36 23.31 24.45 25.44 25.77 25.58 27.13 27.13 27.11 28.34 27.80 27.92 27.42 26.35 26.15 25.01 24.30 23.88 22.36 20.69 19.59 17.95 15.56 14.24 12.69 10.44 9.01 7.75 5.92 3.73 3.33 3.73 6.01 8.01 9.88 12.69 15.56 17.41 20.04 22.68 23.21 25.31 26.39 26.70 27.59 27.95 27.95 27.04 26.87 26.73 25.77 23.75 21.93 20.11 18.30 17.10 15.91 13.57 11.26 10.09 8.33 6.59 5.43 3.73 1.67 0.59 1.67 2.95 3.73 4.86 5.80 8.19 10.02 10.54 11.86 13.97 14.77 17.18 18.30 20.28 23.10 23.84 25.45 27.92 29.59 30.05 30.56 31.84 33.13 33.71 34.32 33.67 33.86 33.55 33.26 32.69 31.36 30.33 29.02 28.48 26.93 26.39 25.31 23.99 23.21 22.44 21.12 20.04 19.76 17.40 17.00 16.75 14.59 14.59 15.09 14.06 13.45 12.69 13.60 14.01 14.34 15.37 15.33 16.54 18.42 19.30 20.01 20.72 21.87 22.58 22.55 23.86 24.84 25.31 25.85 25.56 25.58 26.10 25.87 25.67 25.67 25.50 25.34 24.76 23.57 22.40 21.74 21.12 20.32 19.81 19.02 18.03 18.30 18.87 19.76 21.45 22.67 24.36 26.99 28.44 30.01 31.27 31.84 33.71 33.99 33.86 33.77 34.00 33.81 33.18 32.46 31.45 31.32 29.75 28.97 29.49 29.49 29.56 29.02 28.58 29.26 29.94 30.17 30.87 31.45 30.44 30.44 32.16 32.87 33.30 33.75 33.75 33.75 34.21 35.75 36.42 37.01 38.01 39.11 40.28 41.40 42.49 42.49 43.05 43.62 43.62 43.05 43.08 43.12 41.99 40.87 39.83 38.95 37.88 37.27 36.55 35.32 34.36 34.18 34.79 35.09 35.00 35.04 35.48 36.54 37.01 37.01 37.01 37.01 37.01 37.01 37.01 36.37 35.54 35.09 34.65 33.77 32.92 32.09 31.27 30.05 28.83 28.53 28.29 27.47 26.65 25.87 24.78 24.25 23.75 22.98 22.75 22.31 21.61 21.42 22.42 22.98 22.40 22.46 23.25 24.04 24.04 25.44 26.87 26.87 27.04 27.39 28.35 29.11 28.35 28.35 29.87 29.87 29.11 29.11 29.33 29.02 27.70 26.93 27.70 27.94 26.63 26.63 26.09 25.03 24.78 24.27 24.27 22.95 21.93 21.74 20.76 20.28 20.28 19.80 18.04 16.75 15.47 13.76 13.33 12.92 11.32 8.84 7.10 6.26 5.27 4.75 3.73 4.17 5.83 7.19 8.98 10.31 11.44 13.18 15.29 17.00 18.15 19.45 20.98 21.73 22.12 23.33 24.59 25.45 26.28 26.72 26.87 27.34 28.29 28.77 28.77 28.93 29.11 29.31 29.53 29.53 29.26 29.26 30.10 30.64 30.97 31.50 31.58 31.45 32.36 33.33 33.77 34.81 35.95 36.54 37.79 39.11 28.31 +8.50 8.98 9.22 10.02 10.54 10.14 10.14 10.14 10.49 10.96 10.42 10.42 11.26 11.67 11.67 11.67 11.67 11.67 11.26 10.42 10.00 10.42 11.32 11.32 10.42 10.00 10.14 10.14 10.00 9.66 8.84 8.37 8.50 8.01 7.10 6.87 6.87 6.37 5.80 5.27 4.75 4.29 3.58 2.95 3.17 2.95 3.33 3.33 3.33 3.33 3.33 3.77 3.95 3.73 4.49 5.03 4.86 5.59 5.43 4.75 5.59 5.43 5.34 6.01 5.34 4.75 5.59 5.43 4.71 6.01 6.01 5.34 6.01 5.43 5.59 6.15 6.01 6.72 7.45 6.59 6.51 7.29 7.45 7.45 7.45 7.45 7.29 7.10 7.10 7.29 6.59 7.10 7.07 7.10 7.68 6.59 6.51 7.10 7.29 7.45 7.45 7.45 7.66 8.44 8.98 8.98 9.22 10.31 11.62 12.13 12.43 13.24 13.74 14.06 14.73 15.56 15.92 15.47 15.47 15.83 15.47 15.09 14.73 14.06 12.94 11.33 10.62 9.72 8.33 7.07 4.75 3.77 5.27 5.34 5.27 6.87 8.50 10.42 12.98 14.73 15.87 16.88 17.69 19.51 20.82 21.67 22.92 23.88 24.30 24.73 25.19 25.67 27.16 27.13 26.54 27.13 26.62 26.75 26.25 25.09 24.73 24.45 23.88 22.02 20.50 19.59 18.49 16.64 14.78 13.71 11.86 10.29 9.15 7.10 5.30 3.73 3.33 3.73 6.01 7.45 8.98 11.86 14.24 16.64 19.51 21.61 22.68 24.53 25.61 25.93 26.28 27.39 27.77 26.87 26.87 26.01 25.09 24.42 22.58 20.76 18.94 17.10 16.51 14.74 11.80 10.62 9.43 7.10 5.92 4.71 2.43 1.67 1.77 1.67 2.43 4.49 6.07 7.38 9.22 10.54 11.07 13.97 15.06 17.00 18.98 20.16 23.47 24.67 26.28 28.75 30.00 31.25 31.71 32.67 34.06 34.53 35.00 34.32 34.49 34.36 33.77 32.97 31.89 30.05 28.48 28.48 26.93 25.61 25.07 24.30 22.98 21.90 20.04 18.98 18.72 16.60 16.08 15.37 13.91 13.36 13.36 13.08 12.13 11.38 12.49 12.72 13.02 14.15 14.15 14.84 16.18 17.45 18.15 18.87 20.16 21.62 22.21 22.98 23.53 23.46 24.53 24.78 24.27 24.78 25.07 24.56 24.36 24.68 24.19 23.22 22.55 21.74 21.12 20.56 19.51 19.19 19.30 19.00 18.86 19.00 20.72 23.53 24.51 25.67 28.64 30.10 31.68 33.34 33.88 35.36 35.14 34.49 35.67 35.84 34.28 34.36 33.54 32.16 31.90 30.42 30.20 30.69 30.05 28.93 28.97 29.09 29.75 30.42 30.05 30.05 30.05 29.73 31.45 33.17 32.87 33.30 33.75 33.75 34.32 35.48 37.01 37.59 38.27 39.33 39.76 40.23 41.35 42.49 42.49 43.05 43.62 43.62 43.64 43.67 43.12 42.63 41.59 39.92 38.85 37.59 37.09 36.55 35.32 34.36 34.32 34.89 35.09 35.42 35.87 35.48 35.61 36.54 37.01 37.01 37.01 36.65 36.18 36.18 35.61 35.16 34.71 33.88 33.37 32.92 32.09 31.25 30.42 29.61 28.44 26.87 25.69 24.87 24.36 23.75 22.67 22.44 22.44 22.00 21.87 21.16 20.92 21.83 21.80 21.22 21.29 22.67 24.04 24.04 24.87 25.91 26.09 26.09 26.84 27.80 28.24 28.24 28.56 29.33 29.02 27.94 27.67 27.94 27.94 27.14 26.35 27.14 26.62 26.10 26.10 24.78 24.27 24.27 23.75 23.55 22.24 20.92 20.76 20.28 20.28 19.80 18.41 17.09 16.26 15.02 13.76 12.92 12.15 10.96 9.66 7.93 6.67 6.26 4.75 2.95 3.73 5.27 6.67 8.50 9.66 10.49 12.26 14.73 16.75 18.41 20.07 21.29 22.12 23.33 24.62 25.45 26.33 26.72 26.72 27.34 28.29 28.29 27.95 28.44 28.93 29.11 29.31 29.02 28.73 29.26 30.05 30.10 29.87 30.76 31.12 31.16 31.45 32.36 33.33 33.26 34.22 35.36 35.95 37.20 37.94 27.74 +7.19 8.44 8.70 8.99 10.02 10.14 10.14 10.14 10.42 11.32 11.32 10.42 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.42 11.32 11.32 10.42 10.00 10.00 9.66 9.32 9.59 9.59 8.76 8.37 8.01 7.10 6.67 6.87 6.87 6.26 5.56 4.75 3.77 3.73 3.73 3.17 2.95 3.00 3.17 2.95 3.33 3.33 3.33 3.33 3.33 3.33 3.77 3.95 4.49 5.27 4.49 4.49 5.27 4.49 4.49 5.03 4.86 5.03 5.03 4.86 4.29 5.03 5.59 5.03 5.03 5.59 5.59 5.59 5.80 5.80 6.90 6.15 5.80 6.59 6.90 7.45 7.45 7.45 6.59 6.51 7.29 7.29 6.51 6.51 6.51 5.89 6.48 6.51 6.59 7.29 7.45 7.45 7.45 7.45 7.38 8.19 8.98 9.22 9.50 9.32 9.81 10.82 11.44 12.26 13.24 13.91 14.64 15.09 15.09 15.47 16.26 16.67 16.26 15.47 14.64 13.44 12.26 11.44 10.02 8.21 6.72 4.75 2.36 2.12 3.17 4.49 6.26 7.50 9.59 11.79 13.24 14.55 16.08 17.13 18.45 19.81 20.35 21.45 23.31 23.88 23.72 24.04 25.09 25.67 26.03 25.93 25.34 25.93 25.99 26.09 25.00 23.93 24.04 23.58 22.18 20.50 19.76 18.63 17.73 16.41 14.35 12.69 11.07 10.54 8.44 5.59 4.75 3.73 3.33 3.73 6.01 7.45 8.76 11.38 13.46 15.56 18.98 20.82 21.67 24.07 25.17 25.53 26.09 26.65 27.04 26.87 26.73 25.89 24.62 24.04 22.67 21.34 20.07 18.27 17.69 16.51 13.57 11.80 11.20 8.86 7.10 6.51 5.03 3.44 1.67 0.59 1.67 3.77 5.56 6.87 8.19 10.02 10.82 13.57 15.21 16.85 19.33 20.52 23.39 25.06 27.11 29.59 30.42 32.11 32.98 34.33 34.89 34.53 35.83 35.14 35.30 35.48 33.55 32.74 31.94 30.05 28.73 28.48 26.93 25.39 24.84 23.75 21.90 20.82 19.51 18.19 17.40 16.37 15.57 13.74 13.08 12.15 11.67 11.79 10.82 10.29 11.18 11.33 11.80 12.98 13.02 13.76 14.45 15.60 16.30 17.16 18.63 19.94 20.14 20.35 21.67 22.40 23.46 24.25 24.27 24.27 24.27 24.27 23.55 23.05 23.05 22.55 22.24 21.93 21.08 20.04 19.59 19.44 19.00 18.87 19.48 20.34 21.62 24.78 25.87 27.13 30.18 31.71 33.33 35.04 35.99 36.54 36.31 36.29 37.50 36.92 35.32 35.36 34.69 33.19 32.02 31.10 30.92 30.78 29.49 28.88 29.52 29.02 29.61 29.67 29.26 29.94 30.05 30.17 31.78 32.36 32.02 33.17 33.75 34.32 35.48 36.06 37.01 38.08 38.75 39.33 39.83 40.87 41.94 42.49 43.08 44.26 44.85 44.85 44.26 43.08 42.49 41.94 40.93 40.59 39.64 38.16 37.48 36.55 35.32 34.36 33.99 33.71 33.88 34.61 35.04 35.09 35.54 36.07 36.18 36.18 35.83 35.48 35.36 35.36 34.89 33.96 33.50 33.50 32.98 31.71 30.05 28.75 28.33 27.92 26.68 25.06 23.93 23.57 23.37 22.24 21.12 21.12 20.35 20.14 20.72 20.01 19.76 20.07 20.04 20.07 20.70 22.09 23.01 23.15 23.31 24.42 25.39 25.39 26.15 26.93 27.16 27.67 27.94 27.94 27.94 27.14 27.14 27.94 27.42 26.90 26.10 26.39 25.87 25.37 25.67 24.56 23.75 23.55 22.55 22.40 21.92 20.28 20.28 19.80 19.69 18.79 17.09 16.26 15.47 15.09 14.26 12.61 11.79 10.96 10.14 8.50 7.19 7.10 5.00 3.44 4.17 4.75 5.27 7.10 9.59 11.67 13.33 15.00 16.26 17.50 19.17 20.83 22.50 23.78 24.67 25.50 25.95 25.89 26.78 28.29 28.29 27.81 27.95 28.11 28.61 29.11 28.80 28.50 29.26 29.78 29.52 29.56 29.87 30.01 30.37 31.32 31.58 32.36 33.33 33.33 34.30 35.36 35.95 36.58 37.29 27.74 +8.37 8.70 8.70 8.50 8.99 9.66 10.14 10.14 10.00 10.42 11.32 11.32 10.42 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.03 10.14 10.03 10.00 10.00 10.00 9.59 8.84 8.37 8.33 8.33 7.93 7.10 6.67 6.67 6.37 5.56 5.00 4.60 3.77 3.77 4.49 3.95 2.95 3.00 3.54 2.95 2.43 2.95 3.33 3.33 3.33 3.33 3.33 3.33 3.33 3.77 5.07 4.60 3.77 5.07 4.60 3.77 3.95 4.75 5.07 3.95 4.49 4.75 4.25 4.75 5.27 4.49 5.27 5.27 5.27 6.07 5.27 5.80 6.35 6.59 6.07 5.80 6.90 7.45 7.45 6.01 6.01 7.45 6.59 6.51 6.51 6.48 6.48 5.89 5.92 6.01 6.01 6.01 6.15 6.90 7.45 6.87 6.87 7.66 8.19 8.99 9.66 10.14 10.62 11.32 11.79 12.26 12.98 13.76 14.64 15.47 15.86 15.42 15.00 15.00 14.59 13.76 12.92 12.15 11.32 10.03 8.50 6.37 3.77 2.12 1.18 1.67 4.25 5.43 7.38 10.02 11.62 12.65 14.24 15.56 17.18 19.04 19.81 20.69 21.80 22.58 22.44 23.01 24.04 24.42 24.34 24.86 25.37 25.34 25.34 24.78 24.92 23.75 22.67 23.01 21.87 20.16 19.94 19.38 17.33 16.41 15.56 12.92 11.07 10.54 10.02 7.38 5.27 4.49 2.95 2.50 3.00 5.43 7.45 8.01 10.62 13.46 15.02 17.66 19.81 20.90 22.98 23.86 24.78 26.09 25.91 26.31 26.87 26.01 25.89 25.31 23.93 23.17 21.93 20.07 18.87 18.30 17.10 15.32 12.96 11.79 10.62 8.92 7.75 6.01 4.17 2.43 1.67 1.77 2.95 4.60 6.37 7.68 8.99 11.12 13.57 15.21 16.85 18.98 21.45 23.84 25.45 27.92 30.00 31.25 32.94 33.81 35.54 35.16 34.79 36.54 35.83 35.96 35.63 33.67 33.05 31.94 30.33 29.26 28.20 26.09 24.78 23.99 23.21 21.12 20.04 18.98 17.13 16.08 15.37 14.73 12.61 12.15 11.26 10.42 10.14 10.02 9.52 9.72 10.09 10.62 11.79 11.92 12.60 13.29 14.45 15.15 15.47 16.21 17.33 18.08 18.49 19.27 19.51 20.04 20.82 21.35 22.15 22.67 22.67 22.15 21.42 21.42 21.12 20.32 19.76 19.81 19.59 19.02 19.08 19.48 19.45 19.59 21.29 22.98 25.58 27.30 28.64 31.39 33.37 35.00 36.70 37.20 37.27 38.30 38.24 38.10 38.01 36.89 36.14 35.67 33.73 32.46 31.90 31.00 30.33 28.97 29.49 29.47 28.97 30.14 29.67 29.75 30.42 30.05 30.62 31.68 31.68 32.36 33.05 33.05 34.10 35.26 35.94 37.01 38.01 38.01 38.01 39.11 40.81 41.94 42.49 43.05 43.62 43.62 43.62 43.05 43.08 43.12 41.99 40.87 39.83 38.95 38.73 37.48 35.24 34.28 34.06 33.99 33.71 33.50 33.37 33.37 33.81 34.65 34.89 34.53 34.53 34.32 34.18 34.53 34.18 33.71 33.23 32.30 31.47 30.18 28.90 28.07 27.11 26.25 25.42 25.00 24.59 23.39 22.28 21.58 20.76 20.11 19.51 18.49 18.08 18.15 18.03 17.92 18.30 18.87 18.94 19.67 20.45 21.45 22.36 22.36 23.31 24.53 24.78 25.56 26.35 26.35 26.62 27.19 27.49 27.49 27.19 27.42 27.42 26.39 26.68 25.87 25.37 25.67 24.86 25.17 24.68 22.55 22.40 21.92 21.45 21.35 20.07 20.07 18.79 18.33 17.96 16.75 15.56 15.21 15.21 14.06 12.94 12.13 11.33 10.54 9.22 8.19 8.01 5.83 5.27 5.43 5.30 6.01 7.66 10.02 11.79 13.44 15.09 16.69 18.41 20.07 21.29 22.12 23.01 23.93 24.76 25.12 25.95 27.81 28.29 27.81 28.29 28.77 28.93 29.11 29.11 29.11 29.31 29.78 29.78 29.78 30.33 30.64 30.97 31.68 31.50 31.16 32.36 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3.00 3.00 3.73 4.49 4.49 4.29 4.86 4.29 4.49 5.03 4.86 4.29 4.49 5.27 4.49 3.73 4.49 4.49 3.95 3.77 3.33 5.00 5.00 3.33 3.77 5.07 5.07 4.75 5.27 5.80 6.35 5.59 6.15 6.90 5.59 6.15 6.01 6.01 6.59 6.51 6.51 6.48 6.51 6.01 6.01 6.01 6.01 5.59 5.80 6.90 6.87 6.87 6.87 7.10 8.01 8.37 8.33 8.76 9.59 10.00 10.42 11.26 11.70 11.70 12.09 12.92 13.33 13.33 13.33 12.92 12.61 12.98 12.98 12.26 11.44 10.31 8.98 8.01 6.72 5.92 5.27 5.00 6.37 6.35 7.17 9.50 10.61 11.26 13.02 14.34 15.60 16.76 17.45 18.03 18.03 18.61 19.67 20.11 19.59 20.25 21.83 21.22 20.63 21.21 21.81 21.22 20.70 20.34 19.30 19.44 18.87 17.16 16.77 16.77 15.47 15.10 14.24 11.86 10.54 10.54 10.02 8.70 7.12 5.59 4.17 3.00 2.95 2.95 4.17 5.43 6.59 9.88 11.93 14.01 15.10 16.41 18.49 20.14 21.80 22.18 23.15 24.30 25.01 24.87 25.31 25.77 25.00 24.34 23.75 22.58 21.34 21.34 20.11 18.30 17.72 17.13 15.33 13.55 11.79 10.02 9.43 8.27 6.01 4.75 3.73 2.95 2.95 4.75 6.26 7.93 10.03 11.70 13.81 16.75 19.69 21.81 23.84 26.72 29.21 31.71 33.37 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6.15 6.01 6.01 7.29 6.51 6.51 6.51 6.51 6.51 6.51 6.48 6.59 7.17 6.59 6.15 6.90 7.45 6.90 6.07 6.59 6.87 6.87 6.87 6.67 7.10 7.93 8.33 8.76 9.59 10.00 10.49 11.32 11.70 11.70 11.70 11.70 12.09 12.92 12.92 12.15 12.15 12.53 12.26 11.62 10.54 9.52 9.15 8.33 7.07 7.29 7.12 6.72 7.10 8.19 8.58 9.72 10.29 10.67 12.43 12.98 14.14 15.33 15.37 15.95 16.59 17.77 18.35 18.30 18.87 19.48 20.04 19.45 19.45 20.07 20.11 18.94 19.00 19.08 18.61 18.87 17.16 15.47 15.87 15.56 14.24 14.24 12.92 11.07 10.54 10.54 9.22 8.19 6.87 5.27 3.73 2.95 3.17 3.17 4.12 5.30 6.59 8.76 11.18 13.60 14.91 16.21 18.08 19.19 20.88 21.87 22.44 23.88 24.45 24.16 24.62 25.09 25.00 24.42 23.83 23.17 21.93 21.34 20.76 18.94 17.72 17.72 16.51 14.73 13.55 11.79 10.02 8.84 7.07 5.30 3.73 3.33 3.17 3.73 5.43 7.10 9.66 11.79 13.44 16.38 18.98 21.92 24.76 26.78 28.90 31.84 33.88 35.04 36.25 37.92 38.34 37.92 38.33 37.50 37.09 36.27 35.87 33.81 30.93 29.66 27.55 26.72 25.06 22.12 20.42 20.00 18.33 16.67 15.83 14.59 13.81 11.79 10.96 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7.75 7.45 7.66 8.44 8.98 8.70 8.70 8.44 7.91 8.19 8.50 8.50 8.50 8.37 8.37 8.37 8.33 8.33 8.37 8.50 8.50 8.50 8.50 8.50 8.70 8.70 8.50 8.50 8.50 8.37 8.33 8.01 7.68 8.19 9.15 8.44 8.27 10.17 10.17 10.29 11.18 12.15 11.86 12.13 13.74 13.74 13.57 13.36 13.33 13.33 13.33 13.33 13.33 13.76 13.81 12.61 12.61 13.44 13.44 13.44 13.44 13.08 12.43 12.94 13.74 13.74 13.74 13.74 13.74 13.74 13.74 13.74 13.74 13.74 13.24 12.26 12.26 11.93 11.44 10.96 10.14 9.32 8.99 8.70 8.19 6.59 6.15 6.01 4.71 4.75 4.75 5.00 5.56 6.90 8.33 9.43 10.62 12.43 13.60 15.42 16.67 16.67 17.92 19.76 20.34 20.92 21.42 22.67 23.25 23.17 23.83 23.75 23.69 23.69 23.69 23.10 21.93 21.34 21.34 20.07 19.48 18.94 17.72 16.51 14.73 14.14 12.98 10.67 8.86 7.10 5.03 3.33 2.95 4.75 7.93 10.00 11.70 15.21 18.63 21.58 25.01 27.95 30.90 33.50 35.30 37.10 37.60 38.41 39.73 40.23 39.41 38.30 38.01 36.40 34.80 33.21 31.36 30.10 27.80 25.73 24.22 22.75 21.29 20.01 19.44 18.03 16.67 16.67 15.37 14.14 14.15 13.60 12.39 11.79 11.79 11.20 9.43 8.27 7.68 7.07 6.48 6.59 6.01 4.71 4.71 4.75 4.29 3.73 3.73 3.73 3.73 3.73 3.73 3.73 4.49 5.03 4.86 5.59 6.90 7.45 7.45 7.66 8.70 10.02 10.82 12.26 14.26 15.09 17.13 19.59 21.67 23.33 25.00 28.75 31.68 34.59 36.67 38.33 41.67 43.33 43.33 44.59 45.01 45.01 45.01 43.75 44.59 43.34 40.42 39.59 37.94 35.87 33.81 33.05 31.84 29.82 28.77 27.80 27.49 27.49 27.19 26.35 26.39 26.93 26.70 27.04 27.39 28.51 29.63 29.15 30.17 31.45 31.45 31.45 32.73 33.75 34.21 34.90 34.79 36.63 37.79 37.10 37.91 37.79 37.01 37.01 36.25 35.53 34.30 33.08 31.84 30.06 28.34 26.09 24.04 22.18 20.35 19.00 18.04 17.09 16.75 17.00 16.88 16.41 15.87 15.60 15.42 15.91 15.95 15.42 15.60 15.15 14.73 13.60 13.46 13.74 13.08 12.15 11.26 11.26 10.14 10.02 9.52 8.44 8.27 7.68 7.29 7.66 7.68 8.33 9.32 9.50 10.29 11.74 12.72 13.67 14.78 16.50 17.72 18.30 20.11 22.67 23.93 24.51 24.62 25.44 26.87 26.87 26.87 28.17 28.73 28.73 28.73 28.73 28.58 28.44 29.15 28.44 27.74 27.04 26.35 27.04 26.35 25.00 25.00 25.00 24.27 24.22 23.64 21.81 21.21 21.21 21.21 20.63 20.07 20.07 20.04 19.45 20.07 20.07 19.48 20.34 20.01 20.32 20.14 21.08 22.24 21.92 21.73 22.09 23.10 22.24 22.67 23.21 22.36 23.15 22.67 22.42 22.40 21.42 22.09 21.45 21.45 21.67 21.08 21.35 21.42 21.42 21.42 20.76 20.11 19.30 18.80 19.00 19.24 19.51 19.27 18.83 18.63 19.02 19.44 19.76 19.67 19.67 20.07 19.45 20.07 20.76 20.25 20.45 20.88 20.14 11.26 +3.33 3.77 4.75 4.75 3.77 3.33 3.33 3.33 3.33 3.33 3.33 3.33 3.33 3.33 3.33 3.33 3.33 3.33 2.95 2.12 2.12 2.95 3.33 3.33 3.33 3.33 3.33 2.95 2.12 1.86 1.86 1.67 2.12 2.64 2.12 1.67 1.86 1.86 1.67 1.77 1.32 0.00 0.59 1.86 2.64 2.43 3.00 5.03 5.43 5.30 7.07 8.25 7.66 7.66 8.84 8.92 9.59 10.17 9.72 9.72 9.32 8.76 8.21 8.19 8.19 7.19 6.67 6.26 5.43 4.60 3.77 3.33 2.95 2.12 1.32 0.00 1.32 2.12 2.64 3.00 4.17 5.03 5.03 4.86 5.43 6.01 6.59 7.29 7.66 8.19 8.70 8.98 8.44 7.66 7.66 8.19 8.50 8.50 8.50 8.50 8.37 8.37 8.37 8.33 8.33 8.37 8.01 7.68 7.68 7.68 8.19 8.19 7.91 7.68 7.68 7.68 7.10 6.67 6.87 6.87 6.59 7.68 7.68 8.27 9.72 9.72 10.62 11.07 12.13 12.13 12.13 13.74 14.06 14.73 14.26 13.44 13.81 13.76 13.33 13.33 14.17 14.17 12.50 12.50 13.33 13.33 13.33 13.33 13.33 12.92 12.98 13.44 13.44 13.44 13.44 13.44 13.44 13.44 13.44 13.44 13.44 12.61 12.26 12.75 11.93 11.12 10.62 10.14 9.81 10.02 8.98 7.66 7.12 6.90 6.01 5.30 5.34 4.49 4.60 5.07 5.59 7.10 8.84 10.02 11.80 13.02 14.25 16.08 16.67 17.25 19.00 20.76 21.34 21.34 22.58 23.17 23.17 23.75 23.69 23.69 23.69 23.69 23.69 23.05 22.46 21.93 20.07 20.07 20.11 18.30 17.13 15.33 14.15 12.98 11.20 10.02 8.33 6.90 5.27 3.95 4.75 6.87 9.17 10.49 13.91 18.15 20.76 24.19 27.95 30.08 32.69 34.49 36.29 37.60 38.41 38.91 39.92 39.62 38.01 38.01 36.40 34.53 33.21 31.41 29.66 28.70 26.47 25.01 23.72 21.73 21.03 20.34 19.00 17.72 17.72 16.51 14.73 14.74 14.78 12.96 12.39 12.37 11.79 11.20 10.02 8.84 7.66 7.10 7.29 6.01 4.71 4.75 5.03 4.49 3.73 3.73 3.73 3.73 3.73 3.73 3.73 4.49 4.49 4.49 5.27 6.07 6.87 6.87 7.68 8.50 9.32 11.32 12.92 13.76 15.02 17.92 20.00 21.67 23.33 25.42 29.61 31.71 33.77 36.68 38.77 41.27 42.92 43.33 44.59 45.01 45.01 45.01 43.75 44.59 43.34 40.42 40.00 38.33 36.25 34.61 33.37 32.15 30.56 29.36 28.17 27.47 27.62 27.80 27.19 26.10 26.10 27.14 27.16 27.47 28.56 29.11 28.90 29.81 30.76 31.16 31.58 32.87 34.16 33.88 34.45 35.02 36.31 37.02 36.18 37.45 37.45 36.06 36.06 35.37 34.59 33.19 31.96 30.73 28.88 27.13 24.92 22.77 20.88 19.27 17.69 16.75 16.67 16.38 15.87 15.56 15.87 15.60 15.37 14.74 14.92 15.15 14.73 14.91 15.10 14.78 13.97 14.39 14.64 13.76 12.92 12.15 12.26 12.13 11.38 11.01 10.09 9.43 8.92 9.72 10.29 10.14 10.03 10.49 11.44 12.13 12.92 14.35 15.72 16.18 17.77 19.48 20.04 20.66 22.58 23.75 25.00 25.67 26.35 27.74 27.74 27.74 28.31 29.59 29.59 29.59 29.59 28.78 29.47 29.59 28.78 28.67 28.00 27.34 28.00 27.34 26.03 26.03 26.03 24.78 24.78 24.78 22.99 22.42 22.42 22.42 21.87 21.34 21.29 21.22 20.62 20.63 20.63 20.70 21.61 21.16 21.45 22.00 22.93 24.05 23.70 23.47 24.59 25.06 24.04 24.05 24.51 24.07 24.04 23.01 22.67 22.42 21.29 21.34 20.45 20.32 20.69 20.82 20.56 19.81 19.81 19.30 18.63 18.30 17.49 17.69 18.20 17.92 17.95 17.95 17.73 17.33 17.58 18.03 17.92 17.77 17.72 18.28 18.27 18.94 19.08 18.03 18.46 18.83 18.49 10.67 +3.77 4.75 4.75 3.77 3.33 3.77 4.60 5.00 4.60 3.77 3.33 3.33 3.33 3.33 3.33 3.33 2.95 2.12 1.86 1.86 1.86 1.86 1.67 1.67 2.12 2.95 3.33 3.33 3.33 2.95 2.12 1.67 1.86 1.86 1.67 1.67 1.32 0.59 0.00 1.67 1.67 0.59 1.77 2.36 3.00 3.58 4.12 6.01 6.01 5.92 7.75 7.68 7.66 8.84 9.43 9.45 10.09 10.17 9.72 9.72 9.32 8.98 8.98 8.70 8.01 7.10 6.67 6.67 6.26 5.56 4.75 3.77 3.17 2.36 0.59 0.83 1.32 1.32 1.86 2.43 3.44 4.49 4.86 5.03 5.59 6.15 6.90 7.45 7.12 6.87 7.12 7.45 7.45 7.66 8.19 8.19 7.68 7.68 7.68 8.01 8.01 7.55 7.93 8.33 8.33 7.93 7.55 7.68 7.68 7.68 7.91 7.68 7.38 6.87 6.87 6.87 6.67 6.26 6.07 6.07 6.15 7.07 7.07 8.33 9.72 9.72 11.18 12.15 12.39 12.39 12.65 13.74 14.87 15.21 14.06 14.06 14.73 14.26 13.44 13.81 14.19 13.81 12.98 12.92 13.33 13.33 13.33 13.33 13.33 13.33 13.33 13.33 13.33 13.33 13.33 13.76 13.81 13.44 13.44 13.44 12.98 12.53 12.98 12.61 11.79 10.96 10.62 10.82 10.54 10.02 8.70 7.66 7.45 7.45 6.59 6.48 6.01 5.27 5.07 5.07 5.59 6.59 8.27 9.43 10.62 12.43 13.60 15.42 16.59 17.13 18.35 19.59 20.76 21.34 21.93 23.17 23.17 23.10 23.69 23.69 23.69 23.69 23.69 23.05 23.05 23.05 21.22 20.66 20.76 18.94 17.72 16.51 15.33 14.15 12.37 11.20 8.92 7.29 6.15 4.60 4.75 5.59 7.10 10.03 13.36 16.75 19.80 23.22 27.13 29.42 32.04 33.86 35.98 37.60 38.10 38.30 39.32 39.55 38.48 38.48 36.89 34.28 33.05 32.28 29.45 28.51 26.87 25.44 24.73 22.67 22.00 21.34 20.07 18.86 18.86 18.27 16.50 15.32 15.91 14.74 12.96 12.39 11.79 11.80 10.62 9.43 8.86 7.86 7.29 6.51 5.34 5.03 5.03 4.86 4.29 3.73 3.73 3.73 3.73 3.73 3.73 4.49 4.75 4.25 5.07 6.26 6.67 6.67 7.10 8.37 9.59 11.67 13.33 13.33 15.00 18.33 20.00 21.67 23.75 26.28 29.61 31.68 33.34 36.68 39.60 40.44 42.09 43.33 43.75 45.01 45.01 44.60 44.60 44.17 42.93 41.27 40.42 38.33 36.67 35.00 33.33 32.92 31.27 29.21 28.83 28.07 28.17 28.29 27.13 25.99 26.17 27.49 27.70 28.20 28.48 28.48 29.02 30.10 30.42 30.76 31.12 32.24 33.54 33.36 33.75 34.89 35.45 36.18 36.02 36.59 36.59 35.16 35.16 34.45 33.75 32.26 30.84 29.61 27.75 25.93 23.69 21.61 19.59 17.95 16.68 15.47 14.59 14.06 13.71 13.60 14.34 14.78 15.33 15.50 15.30 14.91 15.10 15.02 15.06 14.87 15.09 15.42 15.42 14.64 13.91 13.74 13.71 14.01 12.87 12.02 11.26 11.21 12.02 12.30 11.61 11.44 11.70 12.09 12.98 14.06 14.77 15.32 16.59 17.58 18.50 19.53 20.63 21.81 23.01 24.22 25.51 26.09 27.34 28.67 28.67 28.67 28.67 29.94 30.52 30.52 30.52 29.26 29.94 30.42 29.67 29.67 29.02 28.44 28.50 27.80 27.16 26.58 26.54 25.93 25.34 25.34 24.22 23.64 23.05 23.05 22.46 21.34 21.83 21.81 21.81 21.80 21.22 22.00 22.31 21.87 22.36 23.21 23.99 25.37 25.50 25.58 26.68 26.68 26.41 25.50 25.87 25.56 24.07 23.48 23.58 22.58 21.21 21.29 20.34 19.44 19.02 18.28 17.66 17.92 18.20 17.49 17.00 17.00 17.00 16.88 16.08 15.81 16.41 16.41 16.41 16.21 16.30 16.67 16.67 16.59 16.51 17.10 16.51 16.67 17.01 15.87 16.97 17.41 17.13 9.72 +5.07 4.75 4.25 4.60 5.00 5.07 5.07 5.00 5.07 5.07 4.60 3.77 3.33 3.33 3.33 3.33 3.17 2.43 2.12 2.95 2.95 2.12 1.67 1.67 1.86 1.86 1.67 2.12 2.95 3.33 3.33 3.33 2.95 2.12 1.67 1.67 1.32 0.59 0.00 1.67 1.67 1.32 2.43 2.95 4.12 4.71 4.71 6.01 6.59 7.10 8.33 8.27 8.84 9.43 10.02 10.62 10.67 10.75 10.44 10.44 10.62 10.54 10.54 9.81 8.76 8.33 7.93 7.10 6.37 6.07 6.07 5.27 4.29 4.12 2.36 1.18 1.86 1.32 0.59 1.32 1.67 2.43 3.73 4.49 4.86 5.03 5.80 6.90 6.90 5.80 5.80 6.90 7.45 7.38 7.68 7.91 7.68 7.68 7.68 7.55 8.01 8.01 7.10 6.67 6.67 6.67 7.19 7.68 7.68 7.68 7.38 6.87 6.37 6.07 6.07 5.56 5.00 5.07 5.27 5.03 5.34 6.48 7.07 8.44 9.32 9.32 10.83 12.39 12.39 12.39 13.45 13.74 15.37 15.37 13.74 14.87 15.21 14.06 14.06 14.73 14.26 13.44 13.44 13.44 13.44 13.44 13.44 13.44 13.44 13.81 13.76 13.33 13.33 13.33 13.33 14.17 14.17 13.76 13.81 13.44 12.61 12.15 12.92 12.92 11.70 10.87 11.32 10.96 10.14 9.32 8.99 8.44 7.45 7.45 7.29 6.51 5.34 5.03 5.07 5.43 6.59 7.45 8.44 10.09 11.26 12.98 14.14 15.37 15.95 16.51 18.35 19.00 19.59 20.76 21.34 22.58 23.17 22.52 23.10 23.69 23.69 23.69 23.69 23.10 22.52 22.46 21.83 21.29 21.34 20.07 18.87 17.72 15.92 15.33 13.57 11.79 10.09 8.33 6.59 4.60 3.73 4.29 6.07 9.20 12.53 15.56 18.98 22.40 25.50 28.61 31.23 33.05 35.67 37.50 38.01 38.01 38.52 38.75 38.21 38.48 37.45 34.36 32.83 32.62 30.20 28.73 27.30 25.89 25.09 23.69 23.05 22.42 21.22 19.45 18.86 18.86 18.27 16.50 15.32 15.32 14.74 12.98 11.80 11.84 11.21 10.03 9.59 9.01 7.68 7.10 6.72 5.80 4.49 4.49 4.75 3.77 3.33 3.33 3.33 3.33 3.33 3.77 5.07 4.60 5.00 6.67 6.67 6.67 6.67 8.33 10.42 11.70 12.92 13.76 15.47 17.96 20.02 21.68 24.18 26.68 28.75 31.67 33.33 36.67 39.59 40.01 41.67 42.93 43.77 45.01 44.60 44.20 45.03 44.20 42.53 41.70 40.87 38.37 36.70 35.04 33.77 33.34 31.68 30.00 29.61 28.83 28.44 28.44 27.24 26.52 27.13 27.80 28.30 28.80 28.22 28.46 29.52 30.05 30.58 30.87 31.19 32.28 32.83 32.83 32.83 34.14 34.49 35.04 35.60 35.40 35.40 34.49 34.32 34.16 33.30 31.32 29.36 28.00 26.09 23.64 21.21 19.00 17.01 15.66 14.55 13.76 12.98 12.65 12.49 12.60 12.98 13.67 14.01 14.91 15.87 14.78 15.29 16.18 15.56 15.86 16.69 16.38 16.51 15.87 15.29 15.56 15.10 14.91 14.01 13.67 14.14 14.25 13.87 13.04 12.39 12.43 13.44 14.59 15.02 15.21 15.57 16.09 16.97 18.46 19.76 20.17 21.29 22.99 23.57 24.76 26.54 27.16 27.85 29.09 29.67 29.67 29.67 30.33 31.00 31.00 31.00 30.33 30.26 30.78 30.73 30.73 30.14 29.61 28.97 28.31 28.34 27.13 26.52 27.11 26.52 25.99 25.45 24.81 23.64 23.05 23.05 21.93 22.42 22.40 21.81 22.40 21.87 22.67 23.46 23.15 23.86 24.53 25.03 26.68 27.13 27.70 28.38 28.33 28.38 26.87 27.13 26.17 24.51 24.84 24.04 22.31 21.34 20.62 19.00 18.03 17.58 16.77 16.64 16.87 16.08 15.37 15.37 15.37 15.37 15.06 14.25 14.24 14.35 13.60 13.44 14.01 15.02 15.42 15.37 15.37 15.33 15.37 14.84 14.92 15.30 14.91 15.87 15.81 15.37 8.19 +5.07 5.07 5.07 5.07 5.00 4.60 3.77 3.33 3.77 4.60 5.07 4.75 3.77 3.33 3.33 2.95 3.00 3.17 3.33 3.33 3.33 3.33 3.33 3.33 2.95 2.12 1.67 1.86 1.86 1.67 1.67 1.67 1.67 1.67 1.67 1.67 1.86 1.77 0.59 1.67 1.67 1.67 2.95 3.17 4.29 4.75 5.30 6.51 7.17 8.33 9.45 9.43 9.43 10.02 11.20 11.21 10.67 10.67 10.29 11.01 11.18 10.54 10.54 10.14 10.00 9.59 8.84 8.01 7.38 6.59 5.80 5.43 4.75 4.71 4.12 2.36 1.86 1.86 0.59 0.59 1.32 2.12 2.64 3.00 3.73 4.49 4.49 5.03 6.15 6.35 5.80 5.80 6.90 6.87 6.87 7.12 6.87 7.19 7.68 7.19 7.10 7.68 7.19 6.67 6.67 6.67 6.37 6.07 6.07 6.07 6.07 6.07 5.89 5.56 4.75 3.77 3.33 3.77 4.49 4.75 4.71 5.34 6.01 8.21 8.98 8.98 10.54 12.13 12.43 11.93 13.24 13.74 15.37 15.37 13.74 15.37 15.37 13.74 14.55 15.37 14.55 13.74 13.74 13.74 13.74 13.74 13.74 13.74 14.06 14.73 14.26 13.44 13.44 13.44 13.81 14.19 13.81 14.26 14.26 13.44 13.36 12.09 12.09 13.33 12.09 11.32 11.79 10.96 10.14 9.81 10.02 8.98 7.45 7.45 7.45 6.01 4.71 4.75 5.27 5.83 6.07 6.90 8.01 9.59 10.67 11.80 13.55 15.33 15.92 15.95 17.25 18.42 18.94 20.11 21.34 21.93 23.10 23.05 23.05 23.69 23.69 23.69 23.69 23.69 23.05 22.46 21.93 21.34 21.34 20.07 19.48 18.94 16.51 15.95 14.78 12.37 10.62 9.45 7.75 5.27 3.33 3.58 6.07 8.01 10.83 14.26 18.15 21.58 24.19 27.62 30.24 32.36 34.49 35.98 37.50 37.72 37.96 38.48 37.42 37.70 37.45 34.36 32.62 32.24 30.60 29.02 28.20 26.84 25.51 24.27 23.05 22.42 21.81 20.62 19.45 18.86 18.86 18.27 16.50 15.32 15.92 14.74 12.98 12.39 11.80 11.33 10.17 9.50 8.33 7.29 7.45 6.90 5.03 4.49 5.27 4.49 3.95 3.77 3.33 3.33 3.33 3.33 5.00 5.00 5.00 6.67 6.67 6.67 7.10 8.84 10.96 11.79 12.61 14.26 15.92 17.58 20.07 21.73 23.78 26.25 28.33 31.67 33.33 36.67 38.75 39.60 41.70 42.53 44.20 44.63 43.85 44.68 45.07 43.85 42.63 41.80 40.97 38.48 36.82 35.16 34.71 33.81 31.71 30.88 30.44 30.00 28.35 28.35 28.38 27.24 28.17 28.29 27.95 28.77 28.44 29.11 29.82 30.05 30.57 30.57 31.62 32.43 32.19 32.19 32.73 34.59 34.36 34.36 35.67 34.69 34.69 34.49 33.54 33.54 32.06 29.87 28.44 27.04 24.42 21.93 20.07 17.72 15.72 14.35 12.43 11.67 11.79 12.15 12.02 11.79 11.92 13.44 14.35 14.78 16.08 15.37 15.56 16.75 16.69 17.52 18.04 17.33 17.00 17.18 16.87 16.41 16.21 15.87 15.60 16.01 15.91 14.84 13.87 13.60 14.24 15.06 15.21 15.02 15.02 15.21 15.87 17.13 17.95 18.63 20.45 21.61 22.67 24.22 24.78 25.34 26.52 27.75 28.38 28.97 30.14 30.73 30.78 30.92 30.92 31.50 31.50 30.78 30.73 30.73 30.73 30.73 30.73 30.73 29.49 28.88 29.49 28.29 26.52 27.11 27.13 25.99 25.40 25.45 25.45 24.27 23.69 23.10 23.01 22.98 21.80 22.42 23.10 23.25 24.04 24.87 26.09 26.15 26.35 28.30 28.77 28.99 30.10 30.01 29.59 28.38 28.53 27.13 25.87 25.83 23.75 22.36 21.16 19.00 17.09 16.59 16.76 16.59 15.87 14.78 13.97 13.74 13.74 13.74 13.24 12.43 12.65 13.46 13.24 12.49 12.15 13.08 13.67 13.02 12.98 13.02 13.02 13.08 13.29 13.44 13.60 14.01 14.49 13.74 13.44 7.10 +5.07 5.07 5.07 5.07 5.00 5.00 5.00 5.00 4.60 3.77 3.77 4.49 3.95 3.33 2.95 2.43 2.43 2.95 3.33 2.95 2.12 1.67 1.67 1.67 1.67 1.67 2.12 2.64 2.12 1.67 1.67 1.67 1.32 0.59 0.00 0.00 0.59 1.86 1.32 1.67 2.12 2.43 3.73 3.73 4.49 5.03 6.01 7.10 7.68 9.01 9.59 9.45 10.02 11.20 11.79 11.21 10.67 10.67 10.75 11.44 11.18 10.54 10.54 10.14 10.00 9.66 9.32 9.32 9.22 8.44 7.45 6.59 6.01 6.01 5.92 4.71 2.95 2.43 1.32 1.32 1.77 1.67 1.86 2.43 2.95 3.73 3.73 3.73 4.29 5.03 5.59 5.27 5.80 6.07 6.07 6.35 6.07 5.89 6.07 6.37 6.26 6.07 6.37 6.67 6.67 6.67 6.26 5.56 5.27 5.27 4.75 4.49 4.75 4.60 3.77 3.33 3.33 3.33 3.73 4.71 4.71 5.43 5.80 7.38 8.70 8.99 10.14 11.44 12.75 11.93 12.43 13.74 15.37 15.37 13.74 15.06 15.57 14.25 14.25 15.29 15.02 14.24 14.49 14.25 13.74 13.74 13.74 13.74 14.55 15.37 14.55 13.74 13.74 14.06 14.73 14.26 13.81 14.19 13.81 13.44 14.26 12.98 12.09 13.33 12.92 12.15 11.79 11.44 10.82 10.54 10.02 8.70 7.66 7.45 7.45 6.59 5.92 6.01 5.59 5.00 5.56 6.59 7.45 8.44 10.09 11.21 12.37 14.14 15.92 16.54 17.13 18.30 18.89 19.53 20.76 21.34 21.93 22.46 23.05 23.69 23.69 23.64 24.22 24.22 23.60 23.64 23.05 22.42 22.42 21.22 20.66 20.07 18.27 17.69 16.51 14.14 11.79 10.02 8.33 6.90 5.56 4.49 5.59 7.68 9.66 12.50 16.75 20.28 23.37 26.80 29.42 32.04 33.86 34.87 36.40 37.16 37.68 38.21 36.92 37.22 37.53 35.04 32.80 32.06 30.44 28.89 28.20 26.75 26.03 25.45 23.64 22.42 21.81 21.21 20.62 19.45 18.86 18.86 18.27 16.50 15.92 15.92 14.73 13.57 12.50 12.02 10.75 9.59 9.15 8.01 7.45 7.45 6.15 5.03 5.27 4.49 4.49 4.75 3.77 3.33 3.33 3.77 5.07 4.60 5.00 6.67 6.67 6.67 7.93 9.66 10.49 11.70 12.98 13.81 15.86 17.96 19.62 21.68 23.78 25.89 27.94 31.25 33.33 36.25 38.34 39.18 41.27 42.53 43.80 43.85 43.46 44.74 45.19 43.53 42.33 41.97 41.14 39.02 37.27 35.16 34.79 34.42 32.30 31.39 31.32 30.88 28.78 28.75 29.59 27.94 28.38 28.83 28.53 29.11 28.77 29.59 30.08 30.24 29.92 30.42 32.24 31.94 31.65 31.89 32.94 34.79 33.75 33.75 35.32 34.28 34.04 34.04 33.05 32.28 30.97 29.26 27.60 26.15 23.35 21.34 20.07 17.13 14.45 12.49 10.62 10.00 9.81 10.29 11.20 11.92 12.15 13.24 14.24 15.29 16.68 16.85 16.69 17.09 18.41 18.50 18.50 18.63 17.69 18.72 18.73 17.33 17.73 18.03 17.77 17.72 16.50 15.42 15.72 16.21 16.09 15.57 15.21 15.02 15.42 16.38 17.00 17.40 17.95 18.63 20.01 21.03 22.00 23.64 24.78 25.34 26.52 27.72 28.93 28.97 28.97 30.20 30.92 30.92 30.78 32.02 32.02 30.73 30.73 30.73 30.73 30.73 30.73 30.69 30.06 29.46 30.05 30.06 28.34 27.72 27.13 26.58 26.03 25.51 26.03 25.45 24.27 23.69 24.22 24.76 23.57 22.99 24.22 25.00 24.73 25.17 27.04 27.70 27.94 29.61 30.56 30.29 31.39 31.71 30.42 30.01 30.10 28.64 27.30 25.87 23.99 22.68 20.69 18.15 16.59 15.91 15.37 14.34 12.49 11.93 12.15 12.13 12.13 11.62 10.62 10.31 10.83 11.18 11.18 11.18 11.58 12.43 11.80 11.21 11.80 11.92 12.02 12.02 12.15 12.49 12.15 12.13 13.08 12.15 11.67 6.37 +4.60 4.25 4.75 5.07 5.00 5.00 5.00 5.00 4.75 3.95 3.33 3.73 3.73 2.95 2.43 2.43 2.64 2.12 1.67 1.86 1.86 1.67 1.67 1.67 1.67 1.67 1.86 1.86 1.67 1.67 1.67 1.67 1.86 1.77 0.59 0.00 0.59 1.86 1.86 1.86 2.64 3.17 4.29 4.75 4.75 5.59 6.90 7.29 8.33 9.50 10.17 10.09 10.62 11.80 11.79 11.80 11.92 12.02 12.02 12.02 11.18 10.54 10.54 10.14 10.00 10.14 10.14 10.14 10.29 9.52 9.32 9.15 8.01 7.29 7.10 6.48 4.71 3.58 2.43 1.86 1.86 0.59 0.59 1.32 1.67 2.43 3.17 3.73 3.73 3.73 4.29 4.49 4.49 4.49 4.49 5.27 6.07 5.56 5.27 5.07 5.07 5.56 5.89 5.43 5.00 5.00 5.00 5.07 5.27 4.75 3.77 3.73 3.73 3.33 3.33 3.33 2.95 2.12 2.36 3.73 3.73 5.27 6.07 6.87 8.50 9.32 10.14 10.62 12.43 12.43 11.93 13.24 15.06 15.57 14.25 14.25 15.29 15.02 14.24 15.02 15.02 14.24 15.02 15.02 14.24 14.24 14.49 14.25 14.25 15.29 15.29 14.25 13.74 14.87 15.21 14.06 14.87 14.73 13.81 13.76 13.76 13.36 12.92 13.33 13.33 12.92 12.15 11.79 10.96 10.14 9.32 8.99 8.44 8.01 7.86 7.17 6.48 6.01 5.59 5.43 6.26 6.87 7.45 8.01 9.59 11.21 11.79 12.37 14.78 15.95 16.51 17.72 18.35 18.94 20.11 21.34 21.29 21.87 22.52 23.10 23.64 23.60 24.22 24.22 23.64 23.69 23.05 22.42 22.42 21.83 21.29 20.07 18.87 18.30 17.13 15.33 13.55 11.80 9.59 8.01 6.59 5.00 4.71 6.87 8.76 11.67 15.42 18.41 21.92 25.83 28.44 30.73 32.74 34.28 35.32 36.64 37.44 36.89 36.14 36.44 36.77 34.85 33.19 32.46 30.17 29.36 28.67 26.68 26.03 26.03 24.78 23.57 22.98 21.80 21.21 20.62 19.45 18.86 18.86 18.27 17.09 16.51 15.37 14.25 13.67 13.08 12.02 10.17 10.17 9.72 8.01 7.45 6.90 5.80 5.27 4.75 4.25 4.75 4.75 3.77 3.33 4.17 5.00 4.60 5.07 6.26 6.67 7.10 8.37 9.59 10.00 11.67 13.33 13.76 16.30 17.96 19.18 21.68 24.18 26.28 27.11 30.42 33.33 35.42 37.94 39.20 40.87 42.13 43.02 43.46 43.46 43.91 44.82 43.62 41.97 41.97 40.78 39.60 38.30 35.71 34.42 34.06 33.23 32.67 31.77 30.56 29.73 29.66 30.05 28.78 28.75 29.59 29.61 29.66 28.90 29.36 30.18 30.65 30.41 31.05 32.36 31.55 32.04 32.24 32.74 34.36 33.26 33.48 34.80 34.53 33.47 33.47 33.21 30.87 30.33 28.78 25.93 25.17 22.58 20.34 18.42 14.73 12.50 11.18 10.14 9.59 8.98 9.45 10.67 12.15 12.69 13.45 14.06 15.56 16.75 17.96 18.33 18.41 19.80 19.12 19.30 20.32 19.51 19.81 19.81 18.63 18.87 19.30 19.00 18.87 17.72 16.67 16.76 16.59 16.09 15.57 15.69 16.30 16.67 16.75 17.00 17.69 18.73 19.38 20.32 21.73 22.67 23.69 24.78 25.34 26.52 27.70 28.93 29.56 28.97 29.67 30.92 30.78 30.73 32.02 32.02 30.73 30.73 30.73 30.73 30.73 30.69 30.65 30.64 30.05 29.46 29.47 28.90 28.31 27.75 27.21 26.68 26.09 26.03 26.03 25.45 24.27 24.22 25.34 25.34 24.17 24.27 25.77 26.15 25.91 27.80 29.02 29.52 31.14 32.36 32.06 32.30 33.05 31.71 31.67 31.27 29.66 28.53 26.31 24.56 22.67 20.82 18.08 15.72 14.34 13.02 11.79 10.29 10.44 9.88 8.98 8.98 8.70 8.99 9.50 8.98 9.01 9.01 9.01 10.09 10.62 10.02 10.03 10.67 10.75 11.01 11.18 11.18 11.38 11.07 10.82 11.79 11.26 10.03 5.59 +3.77 4.75 4.75 4.25 4.17 3.77 3.33 3.33 3.73 3.73 2.95 3.00 3.00 2.43 2.36 1.86 1.77 1.32 0.00 0.59 1.32 1.67 1.32 0.59 0.59 1.32 1.32 0.59 0.00 0.00 0.00 0.59 1.18 1.32 0.83 0.59 1.77 2.36 2.36 2.36 3.00 3.73 4.49 5.03 5.34 6.51 7.86 8.44 9.01 9.59 10.75 11.26 11.80 12.39 11.79 12.37 12.43 12.60 13.29 12.87 11.93 11.86 11.62 10.96 10.83 10.96 10.96 10.62 10.62 9.88 9.32 9.72 9.15 8.33 7.68 7.68 7.10 5.92 4.71 3.00 3.00 2.43 1.32 0.59 0.00 0.59 1.32 2.43 3.00 3.00 3.17 3.73 3.73 3.73 3.73 3.77 4.49 4.49 4.75 4.75 4.25 4.60 5.07 4.75 3.77 3.33 3.33 3.44 3.73 3.44 3.33 3.17 2.43 1.67 1.67 1.67 1.86 1.77 2.12 3.33 3.33 5.00 5.43 6.72 8.37 8.84 10.14 10.14 11.44 12.75 12.26 12.26 13.74 15.29 15.02 14.24 14.78 15.32 14.78 15.02 15.02 14.24 14.78 15.10 14.91 15.10 15.56 15.02 14.24 15.02 15.81 15.02 14.49 15.57 15.57 14.25 15.37 15.37 14.87 14.73 13.81 13.76 13.33 13.33 13.33 13.33 12.92 12.15 10.96 10.14 9.81 10.02 8.98 8.76 8.44 7.10 6.51 5.92 5.59 5.56 6.26 6.87 7.45 7.45 8.44 10.67 12.39 12.39 14.14 15.92 15.92 17.13 18.30 18.87 20.07 21.29 21.22 22.42 23.05 23.01 23.60 23.64 23.69 23.69 23.64 24.22 23.64 22.46 21.93 21.34 21.34 20.11 18.94 18.35 17.72 16.51 14.73 12.98 10.67 8.44 6.90 5.56 4.49 5.59 8.01 11.26 14.59 17.13 20.52 24.40 27.13 29.42 31.23 32.74 34.28 36.12 36.89 36.14 35.90 35.90 35.67 33.73 32.62 32.30 30.05 29.26 29.17 27.27 26.03 26.03 24.78 23.57 23.57 22.98 21.80 21.21 20.62 19.45 18.87 18.30 17.13 16.59 16.08 14.84 14.19 14.25 13.76 11.33 10.17 10.87 9.72 8.01 7.45 6.90 5.59 5.59 5.03 4.49 5.27 4.75 3.77 3.77 5.07 5.43 5.00 5.83 6.67 7.93 8.37 8.76 10.42 11.70 12.92 14.59 16.69 17.52 19.62 21.29 23.75 26.67 26.67 30.00 33.33 35.00 37.09 38.77 40.87 41.30 42.18 43.46 43.08 43.16 44.08 43.72 42.07 42.07 40.42 39.25 38.91 36.78 35.00 33.71 33.71 33.71 32.41 30.65 30.18 30.56 30.49 29.61 29.59 30.00 30.00 30.00 29.59 30.05 30.56 31.01 31.47 31.11 31.94 31.58 32.06 32.54 32.69 33.99 33.67 33.86 34.36 34.36 33.26 32.97 32.45 30.05 29.78 28.20 25.61 24.84 22.00 19.02 16.30 13.02 11.21 9.72 8.01 6.87 7.17 8.86 10.29 12.15 13.45 14.06 15.09 16.26 17.09 18.79 19.69 19.80 20.28 20.43 20.83 21.08 20.82 20.35 20.69 20.88 20.45 20.34 20.25 19.48 18.30 17.92 18.03 17.16 16.64 16.88 17.00 16.75 16.67 17.13 18.15 18.80 19.51 20.14 20.50 21.73 22.67 23.75 25.40 25.93 25.93 27.13 28.34 29.52 30.14 30.20 30.78 30.73 30.73 31.96 32.54 31.32 30.73 30.73 30.73 30.69 30.65 30.64 30.64 30.64 30.06 29.49 29.49 28.93 28.38 27.80 26.62 26.03 26.03 26.03 26.03 25.45 24.78 24.75 25.34 25.40 25.00 26.01 26.87 27.04 28.90 30.10 30.83 32.74 33.67 33.50 33.71 33.96 33.43 33.34 31.67 30.42 29.61 27.16 25.22 22.55 20.62 17.92 15.10 13.44 12.02 10.67 9.45 9.01 8.01 7.45 7.45 7.12 7.12 7.12 7.12 7.75 7.68 7.68 8.27 8.33 8.33 8.44 9.32 9.32 9.52 10.02 9.81 10.14 9.66 9.59 10.42 10.14 9.22 5.34 +5.07 4.75 4.25 4.75 4.60 3.95 3.33 2.95 3.00 3.00 2.43 2.36 2.43 1.86 1.86 1.32 1.67 1.67 0.00 0.59 1.32 1.67 1.86 1.86 1.86 1.86 1.67 1.67 1.67 1.67 1.67 1.86 1.86 1.32 1.18 1.77 2.36 2.36 2.36 2.95 4.12 4.71 5.34 6.01 6.59 7.10 8.33 9.59 9.50 10.17 11.44 11.92 12.43 12.39 12.37 13.55 13.60 13.76 13.87 13.04 12.69 12.39 11.93 11.79 11.67 11.79 11.44 10.82 11.38 11.93 11.18 10.29 9.59 9.50 9.01 8.92 8.27 7.10 6.51 5.03 4.29 3.73 3.17 2.43 1.32 0.59 0.00 0.59 1.86 1.86 1.32 2.43 3.00 3.00 3.17 2.95 3.00 3.17 3.44 3.73 3.44 3.33 3.44 3.73 3.44 3.33 3.33 2.95 2.43 1.86 1.67 1.32 0.59 0.00 0.00 0.00 0.83 1.67 2.50 3.33 3.33 5.00 5.43 6.72 7.93 8.33 10.00 10.00 10.42 11.79 12.75 11.93 12.43 14.25 14.49 14.24 14.24 15.02 15.02 14.78 15.10 14.91 14.91 14.91 14.91 15.87 16.09 15.10 15.10 15.56 15.56 15.32 15.56 15.81 16.08 15.06 15.37 15.69 15.21 15.21 14.73 14.64 13.76 13.33 13.76 13.36 12.92 12.92 11.32 10.62 10.82 10.54 8.98 8.98 8.76 6.51 6.51 6.48 5.59 5.27 5.07 5.56 6.90 7.45 8.01 9.59 11.80 12.43 13.60 15.91 16.50 17.09 18.27 18.86 20.04 21.22 21.22 21.87 22.46 22.42 23.05 23.64 24.22 24.22 23.60 24.22 24.22 23.64 23.05 22.46 21.93 20.76 19.53 18.89 18.30 17.13 15.33 13.55 11.80 9.59 8.01 6.59 5.43 5.92 7.45 10.14 13.33 16.30 20.07 22.64 25.34 28.44 30.24 31.23 32.74 34.80 35.58 35.06 35.36 35.67 35.04 33.92 32.46 31.58 30.05 28.67 28.67 27.34 26.03 26.03 24.78 23.58 23.01 22.42 21.81 21.21 21.22 20.04 19.48 18.94 17.72 17.77 17.25 15.37 14.78 14.92 14.34 13.08 11.26 11.33 11.44 9.59 8.33 8.33 7.10 6.59 6.15 5.03 5.27 5.27 4.49 3.95 5.43 5.43 5.07 6.26 6.67 8.33 8.33 8.33 11.26 11.70 12.53 15.02 16.26 17.92 20.02 20.42 23.33 26.25 26.68 30.01 32.94 35.04 36.70 38.37 40.08 40.59 41.87 43.16 42.79 42.79 43.26 43.37 42.20 41.85 40.70 39.39 38.91 37.27 35.63 33.99 33.99 33.99 33.50 31.72 30.76 31.47 31.01 30.56 30.49 30.05 30.05 30.44 30.42 30.83 31.25 30.84 31.68 31.27 31.71 32.15 32.22 32.67 32.67 33.96 34.06 33.71 33.71 33.71 33.36 32.69 31.55 30.42 29.31 27.70 25.83 23.46 20.82 17.95 15.47 12.50 10.02 7.75 5.43 5.59 6.51 8.44 10.29 12.13 14.06 15.09 16.26 17.09 18.41 19.80 20.28 20.28 20.76 22.24 22.15 21.61 21.90 21.45 21.80 22.18 21.73 21.42 21.34 20.07 18.87 18.42 18.03 17.73 17.73 17.40 17.00 17.21 17.50 17.52 18.04 18.49 18.73 19.59 20.32 21.03 22.09 23.17 24.78 25.93 26.52 27.70 28.31 28.93 30.14 30.73 30.73 30.73 30.73 31.32 32.49 32.46 31.84 31.84 31.84 31.24 30.64 30.64 30.64 30.64 30.06 29.49 29.49 28.93 28.38 28.38 27.80 26.62 26.03 26.03 25.99 25.37 25.34 25.34 25.37 26.09 26.25 27.04 27.87 28.33 29.66 30.87 32.41 34.06 34.67 34.49 35.14 35.36 34.79 34.71 32.54 31.25 30.00 27.50 26.25 23.39 20.16 17.68 14.87 12.65 10.83 9.32 8.44 7.07 6.01 6.01 6.01 5.03 4.29 4.75 5.43 5.92 6.51 6.51 6.59 7.45 7.45 7.45 8.44 8.70 8.70 8.50 8.76 9.59 8.84 8.99 10.02 9.52 9.15 6.51 +4.60 3.77 3.44 3.17 2.64 3.17 2.95 2.43 2.36 2.36 2.36 2.43 2.95 1.67 1.67 2.12 1.86 1.86 1.32 2.43 3.17 3.33 2.95 2.12 2.12 2.95 3.33 3.33 3.33 3.33 3.33 2.95 2.12 1.67 2.43 3.00 3.00 3.00 3.00 4.12 4.71 4.71 5.92 6.51 6.59 7.29 8.44 9.72 9.59 10.75 12.02 12.02 12.60 13.02 13.55 14.14 14.15 13.67 13.18 13.44 13.46 12.65 12.43 12.61 12.50 12.61 12.43 12.13 12.39 12.49 12.15 11.44 10.75 10.17 9.59 9.45 8.86 8.33 7.86 6.90 6.15 5.03 4.29 3.73 3.17 2.43 1.67 1.67 1.77 1.32 0.00 0.59 1.86 1.86 1.32 1.86 2.36 1.86 1.86 2.43 2.64 2.12 1.86 2.43 2.64 2.12 1.67 1.67 1.32 0.59 0.00 0.00 0.00 0.00 0.00 0.59 1.77 2.36 3.00 3.73 3.73 4.75 5.89 6.72 7.10 8.33 9.59 9.66 10.14 10.96 12.26 11.62 12.13 13.74 13.45 13.71 14.24 14.78 15.10 14.91 14.91 14.91 14.91 14.91 14.91 16.41 16.41 14.91 15.87 16.09 15.32 15.56 15.81 16.08 16.37 15.57 15.87 16.51 15.56 15.09 15.09 15.09 14.64 13.76 14.59 13.81 12.61 12.98 11.70 11.32 11.44 10.82 8.98 8.98 8.98 6.59 6.51 5.92 4.75 5.03 5.07 5.43 6.87 8.44 8.76 9.01 10.67 11.92 13.02 14.73 15.91 16.51 17.69 18.86 19.45 20.63 21.25 21.83 22.42 22.42 23.01 23.60 24.22 24.22 23.64 23.69 23.69 23.64 23.60 23.64 23.05 22.42 21.22 20.07 18.94 17.72 16.51 14.73 12.98 10.67 8.44 6.90 5.43 5.43 6.59 9.22 12.26 15.02 19.18 21.35 23.93 26.99 28.93 30.42 31.14 33.48 34.53 33.75 34.59 34.91 33.73 33.36 32.30 31.45 30.05 28.67 28.67 27.34 26.03 26.03 24.81 23.64 23.05 22.42 21.81 21.22 21.29 20.07 20.07 20.07 18.87 18.94 18.35 16.51 15.95 16.08 14.92 13.67 12.43 11.92 12.02 10.75 8.92 8.33 7.75 7.29 6.72 6.01 6.15 5.59 4.86 5.03 6.07 5.56 5.43 6.67 6.67 8.33 8.33 8.33 11.67 11.67 12.50 15.00 15.83 17.92 19.62 20.45 23.35 25.45 26.72 30.05 32.15 34.71 36.82 38.10 39.02 40.31 41.97 42.43 42.90 42.90 42.54 43.02 42.20 41.03 40.70 39.88 38.73 37.60 36.29 34.49 33.99 33.99 33.99 32.69 31.72 32.06 31.24 31.24 31.58 30.65 30.18 31.39 31.32 30.88 31.71 31.27 31.68 31.68 32.09 32.92 32.51 32.09 32.92 34.61 34.21 33.37 33.81 33.88 33.50 32.67 31.47 30.76 28.77 27.13 25.50 22.24 19.81 17.40 15.02 11.18 8.33 5.92 4.17 4.86 6.01 8.19 10.14 11.79 14.64 16.26 16.67 17.92 19.62 20.52 20.62 20.76 22.24 23.75 22.67 22.40 23.21 22.55 22.36 22.36 22.18 21.73 21.42 20.07 18.86 18.30 17.92 17.58 17.33 17.13 17.00 17.33 17.92 17.96 17.21 17.40 17.95 18.49 20.32 21.73 22.19 23.10 24.17 24.76 25.93 27.13 27.75 28.38 28.97 30.14 30.73 30.73 30.73 30.73 31.32 31.87 31.84 31.84 31.84 31.24 30.64 30.64 30.64 30.64 30.06 29.49 29.49 28.93 28.38 28.38 28.38 27.80 26.62 26.03 26.54 25.93 25.34 25.93 25.99 26.75 26.93 27.04 28.58 29.81 30.64 31.36 33.21 35.08 35.67 35.48 36.12 36.78 35.83 35.36 34.06 32.30 30.56 28.38 26.68 24.18 20.42 17.50 15.00 12.92 10.03 8.37 8.01 5.27 3.73 3.73 3.73 2.95 3.58 4.12 3.58 4.29 5.59 5.59 5.59 6.59 6.87 6.87 7.19 8.37 8.37 7.10 7.93 8.84 8.50 8.19 8.98 9.15 8.92 7.29 +2.12 2.95 2.95 2.12 2.12 2.64 2.43 2.36 2.43 2.12 2.12 2.64 2.95 2.12 2.43 3.58 3.58 3.73 3.95 4.49 3.95 3.33 3.33 3.33 3.33 3.33 3.33 3.33 3.33 3.33 3.33 3.33 3.33 3.77 4.49 3.95 3.73 4.29 4.49 4.75 4.71 5.30 6.51 6.51 7.10 8.33 9.59 10.17 10.17 11.44 12.60 13.08 13.67 14.25 14.15 14.14 14.14 13.60 13.76 13.87 13.24 13.45 13.74 13.44 13.33 13.44 13.74 13.45 12.92 13.04 13.44 13.44 13.44 12.87 12.02 11.26 10.29 10.44 9.72 8.01 7.45 6.90 6.15 5.03 4.49 4.49 3.77 3.33 2.95 2.12 1.67 1.67 1.77 1.32 0.00 0.83 1.67 0.83 0.59 1.32 1.77 1.32 0.59 1.32 1.77 1.32 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.59 1.32 1.86 2.36 2.95 3.54 4.17 4.75 4.75 5.80 6.87 6.87 8.01 8.76 8.76 9.66 10.96 11.44 11.12 11.93 12.94 12.92 13.46 14.01 14.35 14.91 14.91 14.91 14.91 14.91 14.91 14.91 16.21 16.77 15.47 16.41 16.41 15.87 16.34 15.81 16.60 16.60 16.08 16.68 17.00 16.51 15.56 15.09 15.09 15.47 14.59 15.00 14.59 12.98 12.61 12.26 11.93 11.44 10.96 8.99 9.22 8.98 7.29 6.51 5.89 5.92 6.15 6.37 6.67 7.10 8.19 9.32 9.72 10.29 11.44 13.02 14.15 15.37 16.54 17.10 18.27 18.86 20.04 21.22 21.80 22.98 23.57 23.57 24.19 24.22 24.22 24.22 24.22 24.22 23.60 23.64 23.69 23.05 22.42 21.83 21.29 20.07 18.87 17.69 15.91 14.14 11.80 9.72 8.98 7.68 6.07 7.07 9.15 11.33 13.91 17.52 20.02 23.01 25.22 27.13 29.11 29.82 32.45 33.21 32.43 33.50 33.81 32.62 32.24 31.32 30.44 29.47 28.67 28.67 27.34 26.03 26.03 25.45 24.22 23.58 23.58 22.42 21.29 21.34 20.07 20.07 20.11 18.94 19.00 18.35 17.13 16.59 16.67 16.08 14.25 13.08 12.60 12.02 11.33 10.09 8.92 8.33 8.33 7.68 7.10 7.17 6.51 6.01 5.59 6.15 6.90 6.59 6.87 7.19 8.37 8.37 8.76 11.26 11.70 12.53 15.02 15.86 17.13 19.24 20.90 23.39 25.06 26.72 30.05 31.32 33.88 36.82 37.27 38.19 39.95 42.07 42.07 42.54 42.68 42.34 43.16 42.00 40.86 40.86 40.04 38.41 37.60 36.79 35.48 34.49 33.99 33.99 33.18 32.36 32.36 31.87 31.38 32.20 31.72 30.76 31.94 31.94 31.47 31.84 31.84 31.84 32.22 32.98 33.37 32.54 32.11 33.75 34.59 34.18 33.75 34.17 34.59 33.77 32.54 31.71 30.88 28.38 26.72 25.06 22.18 19.80 17.00 14.06 10.31 7.12 4.17 2.50 3.58 6.37 8.37 10.03 12.09 15.00 16.67 17.09 18.79 20.52 21.45 21.58 22.24 23.75 24.27 23.19 23.46 24.53 23.31 22.92 23.31 23.15 22.44 21.61 20.11 19.45 19.48 18.50 17.58 17.16 16.64 16.68 16.51 15.86 16.30 16.85 17.40 17.95 17.95 19.19 21.03 21.42 22.46 24.19 24.76 25.34 26.54 27.75 28.38 28.38 29.02 29.67 29.67 29.67 29.67 29.67 29.61 30.14 30.73 30.73 30.08 30.06 30.06 30.05 30.65 30.69 30.73 30.73 30.14 28.97 28.38 28.38 28.34 27.16 25.99 26.52 26.52 25.93 25.99 26.09 26.93 27.16 26.73 28.51 30.42 31.41 32.43 33.73 35.89 36.48 36.29 36.94 37.27 36.78 35.48 34.66 33.36 31.58 29.82 26.87 24.40 21.45 18.04 15.09 13.44 10.49 8.37 8.01 5.27 3.95 3.77 3.33 2.50 2.50 2.50 2.50 4.17 5.00 5.00 5.00 5.83 6.67 6.67 6.67 7.93 8.01 6.87 7.38 8.44 8.76 8.44 8.92 9.43 10.09 8.98 +1.86 2.43 2.95 2.95 2.12 1.77 1.86 1.86 2.95 2.95 3.17 3.00 3.00 3.58 4.12 4.71 4.75 5.03 5.27 5.27 5.07 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.00 5.07 5.27 5.07 4.75 4.86 5.03 5.59 6.01 6.51 7.07 7.66 8.84 9.43 10.09 10.17 10.75 12.60 13.76 13.67 13.67 14.92 14.78 14.14 14.14 14.15 14.25 13.87 13.60 13.71 13.74 13.44 13.33 13.44 13.74 13.71 13.46 14.01 14.91 14.91 14.73 14.01 13.87 13.87 12.49 11.74 11.44 9.88 8.76 8.01 7.45 7.12 6.87 6.59 5.56 4.60 3.77 3.33 3.33 3.33 2.95 2.12 1.67 1.86 1.77 0.59 0.59 1.32 1.77 1.32 0.00 0.59 1.86 1.32 0.00 0.00 0.59 1.32 1.67 1.67 1.67 2.43 3.17 3.44 3.73 4.17 4.17 4.71 5.34 4.71 6.01 7.45 7.45 7.66 8.19 8.50 8.84 10.00 10.49 10.96 11.44 11.33 12.39 13.18 12.92 13.24 14.35 14.91 14.91 14.73 15.30 15.47 14.91 15.47 16.59 16.59 16.77 16.77 16.97 17.41 16.34 16.60 16.88 16.68 17.00 17.00 17.00 16.51 15.56 15.47 15.86 15.02 15.42 15.00 13.33 12.92 12.98 12.26 11.12 10.62 9.81 9.50 8.70 7.66 6.59 6.48 6.51 6.01 5.80 6.26 6.67 6.87 8.01 9.15 9.72 10.29 12.43 13.60 14.25 15.92 16.51 17.69 18.86 19.45 20.62 21.21 21.81 22.42 22.42 23.64 24.19 24.78 24.78 24.78 24.81 23.64 23.69 23.69 23.10 21.93 21.34 21.34 20.07 19.48 18.30 16.50 15.92 14.25 11.58 9.52 8.70 7.93 7.86 8.33 9.75 13.08 16.30 18.75 21.68 23.47 25.34 27.30 29.11 30.92 31.37 31.36 32.19 33.05 31.87 31.50 31.32 29.73 28.78 28.67 28.67 27.34 26.03 26.03 26.03 24.81 23.01 23.05 23.05 22.42 22.42 21.22 20.66 20.76 19.59 19.00 18.42 17.25 16.67 16.67 16.67 15.37 14.78 14.25 13.02 12.39 11.79 11.20 10.02 9.43 8.84 8.27 7.68 7.10 7.17 6.51 6.59 7.45 7.45 7.45 8.44 8.70 8.70 9.81 10.96 11.79 12.61 15.09 15.92 16.75 19.24 20.90 23.39 24.67 26.41 29.82 31.11 33.59 36.54 37.01 37.83 39.13 41.72 42.20 41.85 42.34 42.34 42.49 41.85 41.35 40.54 40.23 38.91 37.60 36.48 36.18 35.67 34.36 34.36 33.55 32.74 32.74 33.05 32.04 32.36 32.36 31.87 32.20 32.20 32.20 32.20 32.54 32.06 32.88 33.71 33.71 33.23 33.13 33.96 34.42 34.79 34.71 34.26 35.09 34.65 32.94 31.68 30.84 28.75 26.67 25.00 22.92 20.02 16.69 13.36 10.03 6.72 3.44 0.83 3.44 6.72 8.76 10.42 12.98 15.09 16.75 18.04 20.28 21.74 22.24 22.74 23.75 24.27 24.27 24.51 25.07 25.39 24.42 24.04 24.45 24.16 22.77 22.19 20.76 20.04 20.04 18.50 18.15 17.89 16.64 16.08 16.03 15.42 15.42 16.38 17.40 17.95 17.95 18.63 20.34 21.34 21.93 23.64 25.34 25.34 25.93 27.75 28.38 28.44 28.50 29.09 29.67 29.67 29.67 29.67 29.02 28.97 30.14 30.73 29.49 29.47 30.06 29.46 29.47 29.49 29.49 29.49 29.49 28.93 28.38 28.34 28.31 27.75 27.13 26.52 25.93 25.99 26.03 26.75 27.62 27.87 27.44 29.26 31.19 31.41 33.21 34.53 36.40 37.50 37.29 37.60 37.60 37.60 36.29 35.30 33.99 32.36 30.73 27.80 25.17 22.24 19.00 15.81 14.24 12.15 9.32 8.44 7.10 5.92 5.34 4.71 4.17 4.17 4.12 3.58 4.29 5.59 5.59 5.59 6.59 6.87 6.87 6.87 7.38 7.66 7.45 7.45 7.86 8.86 9.43 9.45 9.72 11.18 11.62 +1.86 2.36 1.86 1.77 1.32 1.67 2.12 2.43 3.73 3.73 3.73 3.58 4.71 5.92 6.01 6.01 6.01 6.15 6.07 6.07 6.37 6.67 6.67 7.10 7.93 7.93 7.10 6.67 6.67 6.67 6.67 6.67 6.67 6.26 5.56 5.56 5.89 5.80 6.15 6.90 7.45 7.29 7.68 8.25 8.27 8.92 9.50 10.17 11.44 13.29 13.87 13.18 14.34 15.50 14.84 14.15 14.73 15.33 14.84 14.45 14.73 14.24 13.74 13.44 13.33 13.44 13.74 14.49 15.02 14.78 14.91 14.91 15.15 14.45 14.01 14.58 13.44 12.15 12.02 11.18 10.62 9.88 8.98 8.70 8.19 7.66 6.87 6.37 5.56 4.60 3.77 3.33 3.33 3.33 3.33 2.95 2.12 1.67 1.86 1.86 1.86 1.86 1.67 1.86 1.77 1.18 1.32 1.67 1.86 2.43 2.95 3.33 3.77 4.49 3.95 3.95 5.03 5.03 4.86 5.34 5.30 5.30 6.51 7.29 7.45 7.45 7.66 8.19 8.01 8.76 9.59 10.14 10.82 10.54 11.86 12.92 12.69 12.49 13.60 14.91 14.73 14.45 15.72 16.44 15.87 15.47 15.47 16.77 16.77 16.77 17.73 17.95 17.41 17.13 17.40 17.40 17.40 17.69 17.49 17.00 16.51 16.38 15.92 15.47 16.26 15.00 13.33 13.33 13.33 12.92 11.32 10.62 10.82 9.22 8.70 8.44 7.29 6.51 5.89 5.92 5.59 5.07 5.00 5.56 6.90 8.01 9.15 9.72 11.26 12.43 13.08 15.37 16.59 17.72 18.87 19.48 20.63 21.21 21.81 22.42 22.42 23.01 23.58 24.78 24.78 24.78 25.45 24.22 24.22 24.22 24.22 23.64 22.42 22.42 21.22 20.66 19.48 17.10 16.54 15.42 13.29 11.18 9.22 7.93 7.12 7.66 9.72 12.39 15.21 17.96 20.00 21.73 23.57 25.83 28.11 29.02 30.31 30.58 30.64 32.28 31.31 30.37 30.60 29.47 28.78 28.20 28.09 27.34 26.03 26.03 26.03 25.45 23.64 23.05 23.05 22.42 22.42 21.83 21.29 21.34 20.76 19.53 19.53 18.94 17.72 17.77 17.18 15.92 15.95 15.37 14.14 13.55 12.37 11.79 11.21 10.62 10.02 9.43 8.84 8.27 7.68 7.07 7.68 8.44 8.01 7.45 8.98 8.98 8.98 10.54 11.62 11.93 12.43 15.37 16.51 16.85 18.98 21.10 23.22 24.52 26.17 29.11 31.24 33.36 35.96 37.27 38.43 38.77 40.55 42.00 41.67 42.49 42.17 41.85 42.17 41.67 39.73 39.92 39.62 38.01 36.40 36.40 36.40 34.80 34.80 34.28 33.26 32.74 33.55 32.74 32.74 32.74 32.74 33.05 32.54 32.54 32.54 33.35 32.86 33.18 33.99 33.99 33.99 33.99 33.99 35.14 35.48 35.48 35.36 35.25 35.25 33.96 31.84 31.01 29.73 27.16 25.06 23.39 20.45 16.69 13.36 10.03 6.72 3.44 1.32 3.73 6.87 9.81 11.62 13.74 15.37 17.49 19.30 21.42 22.24 22.74 23.75 24.27 24.78 25.03 25.56 26.09 25.61 25.17 24.78 24.61 23.88 22.31 22.77 21.93 20.63 20.03 18.42 18.03 17.16 16.09 15.81 15.69 16.26 16.26 15.56 16.08 17.41 17.73 17.73 19.08 20.76 21.29 21.80 23.64 24.19 24.78 26.68 27.34 28.00 27.92 28.44 29.67 29.67 29.67 29.61 29.56 28.97 28.97 30.14 29.49 28.87 30.06 29.47 28.28 28.28 28.28 28.28 28.29 28.34 28.34 28.29 27.70 27.13 27.70 27.70 27.11 27.16 26.68 26.93 27.74 28.44 28.58 30.37 32.28 31.96 34.00 35.32 36.40 38.01 38.01 38.01 38.01 38.01 37.50 36.18 34.57 32.97 31.37 29.26 26.35 23.21 20.14 17.33 15.30 13.76 11.80 10.02 8.84 7.68 7.29 7.45 6.90 6.15 6.01 6.01 5.92 6.51 6.51 6.59 7.29 7.75 8.33 8.33 8.33 8.33 8.33 8.27 8.27 8.92 10.09 10.29 10.29 11.33 12.61 +1.86 1.77 0.59 1.67 1.67 1.67 2.95 3.17 4.29 4.75 4.71 5.30 6.48 7.10 7.29 7.45 7.45 7.45 7.38 7.68 7.68 7.93 8.33 8.37 8.37 8.37 8.37 8.33 8.33 8.33 7.93 7.10 6.67 6.67 6.72 6.87 6.72 6.87 6.90 6.15 6.01 6.59 7.68 7.66 7.68 9.59 10.09 10.67 12.60 13.87 13.87 14.34 15.50 14.92 14.92 15.37 15.91 15.92 14.84 14.34 13.87 13.24 13.45 13.44 13.33 13.44 13.74 14.25 15.02 15.10 14.91 14.91 15.72 15.72 14.91 15.15 14.45 13.44 13.44 12.49 11.93 11.93 11.07 10.02 9.22 8.98 8.19 7.38 6.87 6.37 5.56 5.00 4.60 3.77 3.33 3.33 3.33 3.33 2.95 2.12 1.86 2.43 2.95 2.95 2.12 2.43 3.17 3.33 3.44 3.73 3.44 3.77 4.75 5.27 5.07 5.27 5.59 5.27 5.59 6.01 6.01 6.51 7.07 7.10 7.29 7.45 7.45 7.66 7.38 8.01 8.33 8.84 9.81 10.02 11.07 12.15 12.49 12.30 13.04 14.35 14.01 13.87 15.30 15.87 16.44 16.44 15.87 16.77 16.77 16.97 17.95 17.95 17.95 17.95 17.95 18.19 17.92 18.49 18.30 17.00 17.00 17.33 16.75 16.26 16.26 15.02 13.76 13.76 13.81 12.98 11.70 11.32 10.96 8.99 8.70 8.70 7.66 6.01 5.92 6.48 5.59 5.07 5.00 5.43 6.87 8.44 9.52 10.44 11.44 12.72 13.87 14.92 16.08 17.72 18.30 18.94 20.63 21.22 22.40 23.57 23.57 23.57 23.57 24.78 24.78 24.78 26.03 24.78 24.78 24.81 24.22 24.22 23.01 22.42 21.83 21.25 20.63 18.30 17.13 15.95 13.87 12.87 10.83 8.84 8.50 9.15 10.03 11.74 14.49 16.51 18.35 20.42 21.73 24.40 26.31 26.68 28.73 29.52 29.02 30.64 30.76 29.63 29.30 28.44 28.44 27.62 27.42 27.34 26.09 25.58 24.92 25.45 24.81 23.64 23.10 21.93 21.34 21.34 21.34 21.34 21.34 20.07 20.07 20.07 18.87 18.94 17.72 16.50 17.10 16.50 15.33 14.73 13.57 13.02 12.50 12.43 11.80 10.67 10.67 10.67 10.09 8.92 8.84 9.59 9.01 8.33 9.72 9.88 9.52 10.54 11.86 12.39 12.65 15.37 16.68 17.18 19.12 20.76 22.55 24.68 26.31 28.77 30.90 32.69 35.63 37.27 38.57 39.06 39.88 41.18 41.67 42.17 41.54 42.04 42.54 41.95 40.35 39.83 39.55 38.48 37.16 36.64 36.64 35.32 34.80 34.80 34.00 33.21 34.00 33.21 33.21 33.21 33.21 34.28 32.97 32.97 32.97 33.48 34.28 34.06 34.36 34.36 34.36 34.36 34.67 35.79 35.79 35.79 36.61 36.12 35.63 34.81 32.69 31.72 30.41 28.29 25.69 23.57 21.10 17.00 14.06 10.31 7.12 4.17 3.17 4.71 7.45 10.54 12.13 14.25 16.08 18.72 20.56 21.35 22.44 23.75 24.27 24.78 25.83 26.09 25.85 26.63 26.39 25.39 25.17 24.78 23.88 23.01 23.46 22.58 20.63 19.45 18.30 17.34 16.44 15.87 15.81 15.37 15.02 15.02 15.21 15.57 16.09 16.77 17.58 18.50 19.53 20.63 21.81 23.01 23.60 24.27 25.67 26.25 27.42 27.34 27.34 28.67 28.67 28.67 27.92 28.44 29.02 28.38 28.97 28.90 28.29 28.93 28.90 28.28 28.28 28.28 28.29 28.34 28.34 28.29 28.28 27.70 26.52 26.52 27.13 27.13 27.80 28.00 27.62 27.87 28.01 28.90 30.76 32.28 33.05 35.06 36.37 36.64 37.96 38.75 38.52 38.01 38.01 37.72 36.64 35.32 33.21 31.36 30.10 27.59 24.61 21.87 19.30 16.67 14.74 13.55 11.80 10.67 9.72 8.76 8.01 7.45 7.45 7.45 7.45 7.75 7.68 7.68 8.27 7.66 8.27 9.43 9.43 9.43 9.43 9.45 9.59 9.72 9.88 11.18 12.15 12.13 12.26 12.92 +1.32 0.59 0.59 1.86 1.86 2.43 3.73 3.73 5.03 5.43 5.30 7.07 7.68 7.68 7.75 7.45 8.01 8.76 8.70 8.50 8.50 8.84 9.59 9.59 8.76 8.76 9.59 9.59 8.76 8.33 8.37 8.37 8.33 8.33 8.37 8.01 7.10 6.87 7.12 6.59 6.15 7.10 7.68 7.68 8.84 10.67 10.67 10.67 13.29 13.87 13.87 15.15 15.02 14.92 16.08 16.59 15.92 15.32 15.37 15.02 14.01 13.60 13.71 13.44 13.33 13.81 14.87 15.06 15.02 15.87 16.21 15.47 15.87 16.44 15.47 15.72 15.72 14.91 14.91 14.35 13.24 12.69 12.15 11.07 10.54 10.54 10.02 9.22 8.19 7.38 6.87 6.26 5.56 5.07 5.00 4.60 3.77 3.33 3.33 3.33 3.44 3.73 3.44 3.33 3.33 3.73 3.73 3.77 4.75 4.75 4.25 4.75 5.27 5.27 5.56 6.59 7.12 6.87 7.12 7.45 7.45 7.29 7.68 7.68 7.07 7.29 7.45 6.90 6.59 7.19 7.10 8.33 8.76 8.50 10.02 11.07 11.38 11.93 12.49 13.60 13.44 13.44 14.91 14.91 15.47 15.87 16.59 16.77 16.77 17.73 17.95 17.95 17.95 17.95 18.19 18.72 18.49 18.80 18.80 17.49 17.33 18.04 17.58 16.75 15.92 15.47 14.59 14.59 14.64 12.61 11.79 11.79 10.96 9.81 8.70 8.19 8.19 6.15 6.01 6.01 4.75 5.27 6.26 6.67 7.10 8.19 8.98 9.88 11.18 12.49 13.87 14.34 14.92 17.18 18.35 18.35 20.07 21.29 22.42 23.57 23.57 23.57 23.57 24.76 25.34 25.37 25.99 25.34 25.37 25.40 24.78 24.81 23.64 22.42 22.42 21.81 21.21 19.48 18.30 17.13 14.45 13.44 12.69 11.44 10.03 8.98 8.86 11.01 13.71 14.55 16.75 19.59 20.42 22.18 24.52 25.17 26.39 28.20 28.48 28.78 29.45 28.90 28.58 28.44 28.31 27.51 26.84 26.75 26.75 26.25 24.34 24.27 24.86 24.27 23.69 23.05 22.46 21.93 21.34 21.34 21.34 20.07 20.07 20.07 19.48 19.53 18.28 17.10 17.69 17.72 17.13 16.51 14.84 14.34 13.76 13.67 13.67 12.60 12.02 11.92 11.26 10.09 10.02 10.67 10.03 9.43 10.67 11.44 11.01 11.18 11.74 13.04 14.01 15.81 16.60 17.40 19.81 20.62 22.24 24.36 26.17 29.11 30.73 32.36 35.30 37.10 38.10 39.41 40.54 40.86 41.35 41.54 41.23 41.74 41.95 41.67 40.87 40.07 39.27 38.48 37.68 36.89 36.89 36.10 35.32 35.32 34.53 34.00 34.26 33.47 33.47 33.47 33.47 34.79 34.00 33.47 33.47 33.73 34.53 34.79 35.32 35.32 35.32 35.58 36.12 36.40 36.40 36.40 37.20 37.50 36.18 35.37 34.36 32.86 30.73 29.11 26.98 24.05 21.35 18.19 15.56 11.18 8.33 6.01 5.27 6.01 8.33 11.18 12.69 15.56 17.41 19.51 21.08 21.61 23.46 24.78 24.78 26.09 26.63 26.63 26.93 27.25 27.25 26.28 26.09 25.91 24.87 24.04 24.04 22.67 20.66 20.04 19.53 18.03 17.16 16.41 15.81 15.37 15.02 15.02 15.21 15.57 16.09 16.77 17.58 18.50 19.53 20.63 21.81 22.42 23.10 23.83 25.09 25.67 26.25 26.84 26.93 27.62 28.09 28.67 27.34 27.34 27.92 27.85 27.85 27.16 27.75 28.34 28.29 28.28 28.28 28.28 27.70 27.11 27.11 27.70 28.28 28.28 27.70 27.13 26.62 26.09 26.84 28.09 28.78 29.02 28.58 29.81 31.19 31.41 32.97 35.32 36.89 36.89 37.68 39.27 39.27 38.48 38.48 37.42 37.17 36.38 33.81 32.07 30.56 28.33 25.44 23.35 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17.95 17.95 18.19 18.72 19.00 19.00 19.00 19.30 18.30 18.15 18.50 17.68 17.21 16.30 16.26 15.00 15.00 15.00 12.92 11.70 11.70 11.32 10.14 8.99 7.91 8.19 6.59 6.15 6.01 4.71 4.75 4.75 5.43 6.26 6.87 7.66 8.98 10.29 11.18 12.60 13.76 14.45 16.18 18.42 19.00 19.59 20.76 22.42 23.58 24.19 24.78 24.76 24.75 25.34 25.95 25.93 25.93 25.95 25.93 25.93 25.95 25.34 24.16 23.57 22.98 21.81 20.70 20.11 19.00 17.01 15.47 14.01 12.43 11.26 10.14 9.88 11.21 12.49 13.45 15.69 18.41 19.17 20.07 22.75 23.86 24.27 26.35 27.70 27.80 28.14 27.77 27.44 27.87 27.62 27.51 26.84 26.17 26.84 26.75 25.45 24.27 24.27 24.86 24.22 23.60 23.64 23.05 22.42 22.42 22.42 21.22 20.63 20.63 20.63 20.62 20.07 18.94 18.30 17.72 17.77 18.35 16.67 15.02 15.02 14.92 14.34 13.76 12.60 12.50 12.43 11.26 11.26 12.39 11.80 10.62 11.26 12.02 12.02 12.02 12.02 13.44 14.91 16.41 17.18 17.95 20.04 21.36 22.93 24.51 26.39 28.80 30.92 32.54 34.67 36.48 37.50 39.62 40.93 41.15 41.67 41.67 41.67 41.67 41.67 41.67 40.87 40.07 39.27 38.48 37.42 37.17 37.17 36.14 35.90 35.90 35.36 35.06 34.28 34.04 34.04 34.04 34.28 34.28 34.82 34.04 34.04 34.82 34.59 35.13 35.90 35.90 35.90 36.68 37.45 37.45 37.45 37.70 38.21 38.48 37.16 36.12 35.60 34.00 31.89 29.78 28.20 25.31 21.90 19.04 16.59 13.08 10.03 8.21 7.19 8.01 10.03 11.92 13.44 16.41 17.95 19.51 21.61 22.68 23.99 25.31 25.61 26.93 27.47 27.25 28.01 27.80 27.59 27.39 27.04 26.87 25.44 24.04 24.04 22.67 21.29 20.62 18.94 17.34 17.01 16.41 15.29 14.55 14.64 15.02 15.21 15.57 16.09 16.59 16.76 17.25 18.94 20.62 21.29 21.34 22.67 23.25 24.51 25.31 24.62 25.89 26.73 26.01 26.46 27.62 26.84 26.84 26.84 26.84 26.75 26.03 26.62 27.16 27.13 27.13 27.13 27.11 27.11 27.11 26.52 26.52 27.13 27.13 27.13 27.80 27.27 26.75 26.93 27.04 28.58 28.73 28.90 30.76 31.73 31.96 32.97 35.32 36.63 37.17 38.21 39.00 39.27 39.02 38.77 37.76 37.76 36.77 34.29 32.80 31.32 29.15 26.35 24.27 22.99 21.22 19.00 18.03 17.01 15.47 14.35 13.46 13.46 12.92 12.13 11.86 11.07 11.18 11.58 11.18 11.58 11.44 10.75 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34.69 35.24 35.04 35.79 36.55 36.55 36.55 37.10 38.41 38.63 38.08 38.85 39.62 39.62 39.07 37.99 36.68 35.36 33.50 30.64 29.11 27.04 23.67 20.16 17.34 14.78 11.33 9.75 8.76 9.32 10.67 12.39 14.34 17.16 18.63 20.14 22.98 24.07 24.62 26.15 26.70 27.25 28.01 27.80 28.35 28.90 27.95 27.95 27.77 26.87 25.44 24.62 24.51 23.17 21.87 20.04 18.30 17.92 17.58 16.41 15.57 14.87 13.81 13.76 14.73 15.29 15.10 15.72 16.67 16.67 17.69 19.53 20.76 21.34 22.67 22.77 23.58 24.87 24.16 25.01 26.31 25.44 25.44 26.15 25.44 25.31 25.77 26.35 25.67 25.00 24.92 25.45 26.03 26.03 26.03 25.37 25.93 27.13 26.54 25.99 26.03 26.03 26.09 26.84 26.84 26.93 27.16 26.73 28.33 28.51 28.90 30.42 31.52 32.83 33.81 35.60 36.14 37.45 39.02 39.02 38.77 39.07 38.85 38.08 37.86 36.71 35.05 33.44 32.47 31.00 28.38 25.93 24.17 23.10 21.61 20.01 18.87 17.33 16.41 15.56 15.02 15.02 14.25 13.71 12.92 12.69 13.04 12.69 13.04 13.44 13.44 12.49 11.93 12.87 13.24 13.45 13.97 14.49 14.87 15.09 15.47 16.67 17.92 18.33 +0.59 1.32 2.36 2.36 4.29 5.43 5.30 7.10 8.27 8.84 9.43 9.43 9.45 9.59 10.29 10.87 10.44 10.29 10.54 10.54 10.62 10.96 10.49 10.00 10.00 10.00 10.00 10.49 10.96 10.42 9.59 9.32 9.66 10.00 9.59 8.76 7.93 7.55 7.68 7.91 8.44 8.76 8.01 8.33 9.43 9.43 10.67 12.02 13.44 14.91 14.73 15.30 16.03 15.87 16.44 17.01 16.67 15.92 15.92 15.33 14.34 13.87 13.24 13.74 14.64 14.64 14.39 14.55 15.02 15.56 16.41 16.77 16.77 17.01 16.87 16.44 16.44 16.44 15.47 14.91 14.91 14.91 14.91 14.35 12.69 11.61 11.93 11.38 10.02 9.22 8.98 8.70 8.19 7.19 6.87 6.87 6.37 5.56 5.00 5.00 5.00 5.00 5.07 5.07 5.07 5.27 5.27 5.80 6.37 6.87 7.45 7.38 8.19 8.44 7.91 8.44 8.98 8.70 8.70 8.98 8.98 8.98 8.98 8.98 8.98 9.15 8.44 7.29 6.59 6.48 6.01 5.80 6.37 6.26 6.26 7.19 8.99 8.44 9.52 11.38 11.18 12.49 14.35 14.17 14.73 16.03 15.47 16.41 16.97 17.33 18.63 19.59 19.27 19.51 19.51 19.51 20.56 19.52 19.81 20.11 19.61 18.80 19.12 18.63 17.33 17.21 15.92 15.09 15.09 14.26 12.15 12.09 11.67 10.00 10.00 8.76 8.01 7.68 6.07 5.80 5.43 4.71 4.75 5.03 5.27 5.89 7.55 8.50 8.99 10.83 12.49 13.24 14.35 15.87 17.45 18.61 19.30 20.34 22.46 23.05 23.05 24.19 25.37 25.95 26.52 27.11 26.52 27.11 27.70 27.11 26.52 26.52 26.52 25.93 25.34 24.78 23.64 21.93 21.34 20.83 19.44 18.46 16.97 15.06 13.57 12.09 11.62 11.18 11.26 12.50 14.01 14.55 15.09 17.50 19.24 20.28 21.42 22.67 23.46 24.30 25.53 26.31 26.73 26.46 26.35 26.25 26.17 26.84 26.75 26.03 26.03 26.03 24.78 24.78 25.45 24.22 23.58 23.57 24.17 23.57 22.99 23.57 22.42 22.42 22.42 21.34 21.34 21.34 21.42 21.03 20.45 20.34 19.88 18.87 18.15 17.58 17.16 17.58 17.01 15.87 15.72 15.60 14.45 14.34 14.25 13.60 14.14 14.14 14.14 14.14 14.78 15.60 15.72 16.30 17.58 19.02 20.50 22.00 23.53 25.07 27.16 28.48 30.58 33.47 35.05 36.37 37.68 39.00 40.32 41.39 41.67 41.39 41.64 41.37 41.37 42.16 41.12 40.62 40.39 39.62 38.30 37.76 37.76 36.44 35.90 35.90 35.67 36.00 35.24 34.69 34.69 34.69 35.04 35.40 35.40 35.22 35.78 35.78 35.78 36.52 37.09 37.48 38.21 37.83 38.57 39.88 39.32 39.52 40.28 40.28 40.28 39.73 37.86 36.55 35.04 32.24 30.37 28.33 25.44 22.09 18.94 16.50 13.29 11.33 11.26 11.86 12.72 14.78 16.50 19.00 20.34 21.73 24.04 24.97 25.53 26.84 27.59 27.59 28.35 28.90 29.26 29.81 28.33 28.33 28.33 26.87 26.01 25.77 25.00 23.69 22.42 20.63 19.53 18.50 17.01 15.66 15.29 14.73 13.76 13.33 13.44 14.24 14.91 15.72 16.67 16.59 17.69 19.00 19.67 20.34 21.73 22.44 23.01 24.30 24.45 24.61 25.17 25.01 25.01 25.74 25.01 24.30 24.30 24.87 24.73 23.93 23.75 24.34 25.00 24.92 25.45 24.81 24.27 24.92 25.45 26.03 26.09 25.58 25.67 26.35 26.46 26.73 26.87 26.87 28.33 29.26 29.45 30.21 31.19 32.19 33.50 35.36 35.90 37.45 38.77 39.07 38.85 38.63 38.97 38.57 38.21 37.16 36.18 34.68 33.33 32.02 29.49 27.70 26.03 24.51 23.46 21.87 20.88 20.14 19.27 18.19 17.40 17.13 15.81 15.02 15.02 14.78 14.55 14.24 14.55 14.91 14.91 14.55 14.24 14.78 15.02 14.25 14.55 16.18 16.85 17.13 17.92 18.79 20.07 21.25 +1.67 2.43 3.58 4.29 5.89 6.51 7.07 8.84 9.43 9.43 9.43 9.43 10.02 10.67 11.44 11.01 10.44 10.62 10.54 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13.36 13.74 14.91 16.67 17.72 20.07 21.34 22.67 24.16 25.17 26.09 27.39 28.51 28.33 29.07 29.81 29.81 29.81 28.90 28.73 28.73 27.87 27.62 26.84 25.51 24.22 22.40 20.63 19.53 18.50 17.16 15.87 14.49 13.91 14.17 13.76 13.08 13.46 14.17 15.02 16.01 16.50 17.18 18.42 19.67 20.45 21.29 21.87 22.58 23.67 23.67 24.22 24.22 24.22 24.22 24.78 24.61 23.88 23.88 23.72 24.16 23.35 22.77 22.88 23.46 23.35 23.25 23.83 23.93 23.25 23.75 25.00 25.77 25.31 24.62 25.89 26.73 26.87 26.87 27.04 27.95 29.26 30.01 30.42 31.41 32.19 32.73 34.59 35.90 37.22 38.30 38.63 38.97 38.77 38.57 38.04 38.30 37.45 35.94 35.08 34.36 33.08 30.64 28.97 28.00 26.46 25.44 24.45 22.92 21.67 21.12 20.04 18.72 18.45 18.45 17.92 17.13 16.64 16.09 15.81 16.09 16.41 16.41 16.34 16.60 16.60 16.88 17.18 16.85 17.21 18.41 19.59 20.42 21.35 22.28 22.95 +3.33 3.73 4.75 5.43 6.51 7.07 7.68 8.92 9.45 9.43 10.02 10.62 11.21 11.21 10.67 10.29 11.01 11.18 11.07 11.33 10.82 10.62 11.26 11.70 11.67 11.32 10.42 10.00 10.14 10.14 10.14 10.14 9.59 8.84 8.84 9.20 8.76 7.93 7.55 7.68 7.66 7.45 7.45 8.33 9.43 9.43 10.67 12.02 13.44 14.91 14.91 16.21 16.77 16.77 17.16 16.87 17.01 16.30 15.42 14.74 14.15 14.34 14.17 12.65 12.26 12.92 13.44 13.91 15.02 15.32 15.66 15.47 15.87 17.01 17.16 17.16 17.01 16.87 16.44 15.47 15.15 14.45 13.44 13.44 13.04 12.49 12.30 11.93 10.83 9.88 9.32 8.98 8.98 8.19 7.38 6.87 6.87 6.87 6.26 5.43 5.00 5.00 5.43 6.26 6.37 6.07 6.59 7.12 6.87 7.12 8.01 8.76 8.98 9.22 10.02 11.07 11.86 12.39 12.39 12.13 12.13 11.93 11.93 11.62 10.82 9.81 8.99 8.44 7.66 6.59 5.80 5.92 5.92 5.43 5.03 5.07 5.89 7.68 8.19 9.22 10.54 10.54 11.07 12.69 13.79 14.55 15.10 15.66 16.41 17.18 17.95 18.49 19.81 20.82 19.51 19.51 21.08 21.35 21.12 20.62 20.11 19.94 20.28 18.63 18.63 18.63 16.51 16.38 15.09 13.44 13.44 13.44 12.15 10.42 10.00 10.00 8.33 6.67 7.10 7.19 6.07 5.03 4.75 5.30 6.01 6.35 6.07 6.67 8.01 8.84 10.31 12.13 13.71 15.10 16.41 18.46 19.44 20.45 22.09 23.25 23.93 25.00 26.03 27.16 27.75 27.75 27.75 27.75 28.90 28.93 28.34 28.31 28.34 28.38 27.80 26.62 26.09 25.67 24.62 23.46 21.87 20.88 19.94 17.92 16.68 15.69 14.59 13.57 11.86 11.33 12.43 12.72 12.69 13.74 15.47 16.30 17.81 19.00 20.29 21.67 21.80 22.92 23.15 24.04 25.77 25.67 25.58 26.09 26.03 26.03 25.99 26.54 25.93 25.34 25.93 25.93 25.34 24.78 24.78 24.78 24.78 24.27 23.93 25.00 25.00 24.04 24.04 24.16 23.88 23.72 23.15 23.31 23.88 22.92 22.36 22.36 21.80 21.06 20.88 20.32 19.59 19.02 18.46 18.15 18.03 17.92 17.25 16.67 16.67 17.18 17.72 18.28 18.86 19.45 20.07 20.70 22.67 24.04 25.44 26.87 28.17 30.20 31.87 34.14 36.00 36.77 37.99 39.02 40.33 41.40 41.94 41.94 41.94 42.72 42.72 41.94 41.16 40.39 39.62 39.62 38.63 38.41 38.41 37.46 37.27 37.27 36.52 35.78 36.35 36.18 36.18 36.02 35.16 35.87 36.59 35.87 35.73 36.88 37.45 38.03 37.91 38.03 39.31 41.03 41.03 41.16 42.59 42.59 42.59 42.59 42.59 42.59 41.30 39.44 38.16 36.06 34.00 32.75 29.61 25.93 23.01 20.34 18.63 17.18 16.26 15.69 16.41 18.03 19.00 20.62 21.87 23.75 25.00 26.35 27.74 28.58 29.46 29.30 29.87 30.60 30.60 30.60 30.44 29.59 29.59 29.47 28.09 26.84 25.51 24.22 22.39 20.66 19.53 18.50 17.16 16.09 15.06 14.39 14.17 13.44 12.43 12.69 13.44 14.34 15.33 16.54 17.18 17.92 18.73 20.16 20.88 21.06 22.21 22.98 22.76 23.53 23.53 23.53 23.53 23.53 23.53 22.76 22.55 22.36 22.18 22.02 22.18 21.45 21.87 22.44 21.73 22.44 23.01 22.19 22.31 23.15 24.45 24.87 24.16 25.17 25.91 26.47 26.65 26.84 27.59 28.35 29.87 30.64 31.19 32.28 33.05 34.04 35.36 36.44 37.53 37.86 38.01 38.95 38.61 37.59 38.03 37.79 36.25 35.48 35.40 34.77 33.08 30.92 29.26 27.74 26.87 26.47 25.53 23.75 23.21 22.68 21.35 20.56 20.03 20.03 19.76 19.51 18.98 17.92 17.66 17.95 17.95 17.40 17.69 18.20 17.99 18.63 19.33 19.24 19.59 20.42 21.73 23.10 24.04 24.67 +3.33 3.73 4.71 4.71 5.92 7.10 7.68 9.59 10.09 9.43 10.62 11.20 11.21 11.21 10.67 10.75 11.44 11.74 12.15 12.13 11.44 11.12 11.32 11.26 10.83 11.32 11.32 10.42 10.14 10.14 10.14 10.14 9.66 9.32 9.20 8.84 8.37 8.33 8.37 8.01 7.38 7.45 7.45 8.33 9.43 9.43 10.67 12.02 13.44 14.91 14.91 16.41 16.97 16.77 17.52 17.16 16.87 16.30 15.60 15.37 14.74 14.19 13.29 12.65 12.75 12.50 12.98 13.44 14.24 14.78 15.87 16.59 16.03 16.44 16.44 16.44 16.76 16.30 16.44 15.87 15.72 15.72 14.91 14.73 13.44 12.15 11.74 11.93 11.58 10.44 10.07 9.52 8.98 8.44 7.66 6.59 6.07 6.07 5.56 5.07 5.00 5.00 5.07 5.56 5.89 6.07 6.90 7.66 8.19 8.70 9.32 9.32 9.52 10.29 11.07 12.15 12.39 11.86 11.61 11.86 12.13 12.43 12.75 12.26 11.44 10.49 10.14 9.81 8.50 7.68 7.68 7.66 6.72 5.34 4.75 4.29 4.75 6.67 7.19 8.19 10.02 10.54 10.54 11.07 12.92 14.01 14.35 15.87 16.09 16.64 17.95 17.95 19.51 21.08 19.51 19.51 21.35 21.93 21.42 20.62 20.62 20.62 20.62 19.30 18.80 18.80 17.49 17.00 15.37 14.06 13.91 13.08 12.75 11.44 10.14 10.14 8.84 7.10 7.93 8.01 6.07 5.80 5.43 5.92 6.48 5.59 5.80 6.87 8.33 9.59 10.49 11.44 12.65 14.24 15.56 17.33 19.02 20.88 23.01 24.04 24.04 25.00 26.09 27.27 28.38 28.44 29.02 28.97 28.97 29.56 29.52 28.97 29.02 29.02 29.02 28.44 26.84 26.35 25.89 25.44 24.45 22.92 21.80 19.51 17.69 17.00 15.86 13.76 12.26 11.93 11.80 11.92 11.58 11.86 13.44 14.17 15.56 17.18 18.72 19.51 20.14 21.62 21.73 22.77 24.62 25.00 25.45 26.03 25.99 26.54 26.52 26.52 26.52 25.93 25.93 25.93 25.99 26.03 26.03 26.03 26.09 25.77 25.31 25.67 25.77 25.44 25.44 25.17 25.34 25.58 24.61 24.42 25.34 24.78 23.67 22.92 22.36 22.36 22.36 22.18 21.45 20.32 19.59 19.44 19.44 19.76 19.08 18.03 18.03 18.50 19.00 19.53 20.07 20.63 21.22 21.29 22.58 24.42 26.35 27.74 28.44 30.60 32.80 34.29 35.79 37.31 38.85 39.62 40.16 41.47 42.48 41.94 41.70 42.79 43.33 42.79 41.47 40.49 40.28 40.28 38.77 38.77 38.77 37.27 37.27 37.09 36.75 36.75 36.18 36.02 36.44 36.18 36.06 36.75 37.33 37.10 37.01 37.68 38.37 38.27 38.85 39.53 39.43 41.27 42.43 43.01 44.38 44.38 44.38 44.49 44.04 43.46 42.76 41.37 40.01 38.08 35.67 33.84 31.28 28.29 25.45 22.31 20.14 18.80 18.33 18.50 18.98 19.59 20.34 21.87 23.57 25.40 26.03 27.34 28.67 28.78 29.73 30.44 30.87 31.45 31.45 31.45 31.45 30.05 30.05 30.05 27.42 26.84 25.51 23.64 22.40 21.29 20.25 18.61 17.16 16.09 15.37 14.73 13.76 13.24 12.94 13.46 14.01 14.25 15.33 16.01 16.67 18.15 18.46 19.38 20.35 20.82 21.61 21.90 22.68 22.93 22.93 22.93 22.93 22.93 22.93 22.40 21.08 20.82 20.35 20.90 21.45 20.50 20.50 21.06 20.88 21.62 21.45 21.29 22.18 22.36 22.92 23.48 23.67 24.62 24.42 25.73 26.70 25.93 27.25 28.24 29.02 30.10 30.64 31.19 33.27 34.04 34.36 36.00 37.10 37.27 37.48 38.45 38.60 38.37 38.27 38.01 37.20 36.55 35.94 35.40 34.36 32.84 31.90 30.44 28.90 27.95 27.59 26.39 25.31 24.78 23.99 22.93 21.35 20.83 21.08 21.08 21.08 20.56 19.76 19.51 19.51 19.00 19.12 20.11 20.43 20.16 20.52 21.29 21.67 22.12 23.57 24.87 25.83 26.41 +3.33 3.73 5.30 5.92 7.07 8.27 8.84 10.67 10.67 10.02 11.21 11.21 11.79 12.43 12.02 12.02 12.02 12.15 11.93 11.33 10.96 10.62 10.14 10.00 10.00 10.42 10.96 10.49 10.14 10.14 10.14 9.81 9.32 9.32 8.50 7.68 7.93 8.33 7.93 7.10 6.87 7.45 7.45 7.75 8.27 8.92 10.75 12.02 13.44 14.91 14.91 16.41 17.73 16.77 16.97 17.73 17.16 16.76 16.67 16.01 14.14 13.57 13.08 12.15 11.93 12.09 12.53 12.26 12.92 13.46 13.79 15.15 15.30 15.72 15.72 15.72 16.67 15.60 15.02 15.02 15.02 15.02 14.01 13.87 13.87 13.29 11.58 10.44 11.44 11.01 9.88 9.15 8.01 7.45 7.45 6.90 6.07 6.07 6.07 6.26 6.67 6.67 6.26 5.56 5.56 6.59 7.45 7.45 7.66 8.44 9.32 9.32 9.88 10.62 11.38 11.93 11.61 11.86 12.92 13.71 13.74 13.24 12.26 12.26 12.61 12.09 11.32 10.49 9.59 8.84 8.01 7.38 6.59 5.80 5.43 4.75 4.75 5.80 6.37 6.67 8.84 9.81 10.02 10.54 11.86 12.92 13.46 15.56 15.87 16.41 17.95 17.95 19.51 20.82 19.81 20.04 21.87 22.67 21.87 21.08 21.08 21.08 21.08 20.56 19.52 19.00 18.49 17.18 15.57 15.06 14.55 12.94 12.94 12.13 10.54 10.54 10.02 8.50 8.37 8.37 6.67 6.37 5.80 6.15 6.01 5.34 6.72 7.66 8.50 9.59 10.83 12.15 13.24 14.55 15.81 17.18 19.04 20.50 21.87 23.58 24.73 25.67 26.25 27.34 28.44 28.58 29.67 30.20 29.67 30.20 30.78 30.33 30.26 29.67 29.75 30.33 28.78 27.74 27.30 26.73 25.58 24.04 23.11 21.90 20.03 18.30 16.85 15.47 14.64 13.74 12.49 11.80 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13.81 13.74 13.45 13.24 13.76 14.15 15.37 16.08 16.30 17.89 18.63 19.59 20.82 21.08 21.08 21.35 22.44 22.44 22.44 22.44 22.74 22.24 21.93 22.15 21.08 20.29 19.76 20.03 19.76 19.51 19.51 19.51 19.27 20.35 20.14 20.14 21.67 21.67 21.67 22.44 23.21 23.75 23.53 25.07 26.39 25.39 26.93 28.48 28.48 29.02 30.10 30.64 32.50 33.93 34.10 35.96 37.09 36.59 37.59 38.03 37.79 38.17 38.52 38.37 37.72 37.71 36.55 35.48 35.08 34.21 33.30 32.46 31.50 30.01 29.11 28.24 27.16 26.09 24.78 23.99 23.47 22.67 21.61 21.08 21.08 21.08 21.08 21.08 21.35 21.42 20.76 20.76 21.92 22.64 22.56 23.33 24.59 25.06 25.83 27.13 28.44 28.53 +3.77 5.03 6.51 7.10 8.27 9.43 9.43 10.67 11.26 11.20 11.79 12.37 12.96 12.39 11.92 12.02 12.02 11.44 10.44 10.29 10.14 10.14 10.14 10.00 10.00 10.00 10.14 10.14 10.14 9.81 8.99 8.70 8.50 8.19 7.91 7.68 7.10 6.67 6.67 6.67 6.37 6.15 6.01 6.51 7.68 9.01 10.44 11.18 12.69 14.24 14.78 16.64 17.41 16.09 16.64 17.95 17.73 16.59 15.72 15.02 13.60 13.55 13.02 11.18 10.82 11.32 11.70 11.93 12.65 13.46 13.60 14.01 14.73 15.72 15.60 15.02 16.08 16.08 14.92 14.34 14.34 14.34 13.76 13.18 13.29 13.76 12.50 10.29 10.17 10.17 9.72 9.72 9.15 8.01 7.45 7.45 6.59 6.07 6.37 6.26 5.43 5.00 5.43 5.89 6.07 6.90 7.45 7.45 7.45 8.01 9.15 9.88 11.01 11.74 11.93 11.93 12.69 13.71 14.24 14.24 13.74 13.57 13.44 13.57 13.44 13.33 12.92 12.09 11.67 11.26 10.00 8.37 7.19 6.87 6.59 5.80 5.43 5.92 6.15 5.80 8.01 8.33 8.50 10.02 11.07 12.39 13.45 13.97 14.78 16.09 17.41 17.95 19.51 20.04 19.81 20.82 21.61 22.93 22.40 21.08 21.08 21.35 21.12 20.62 19.81 19.00 19.00 17.40 16.08 15.57 14.49 13.71 13.45 12.13 10.54 10.54 10.54 10.02 8.99 8.50 8.01 7.10 6.26 6.37 5.80 6.01 7.07 7.29 8.21 9.81 11.32 12.09 13.44 15.09 17.18 18.72 19.51 20.69 22.36 24.04 25.44 26.46 27.16 28.78 29.94 29.94 30.33 30.92 31.00 31.50 31.50 31.00 31.50 31.00 30.52 31.00 30.05 29.15 28.58 27.87 26.87 25.91 24.42 23.21 22.14 19.81 18.30 17.21 15.83 14.26 12.94 11.18 10.03 10.09 10.62 10.62 10.83 12.26 15.29 16.41 17.16 18.73 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30.01 30.37 30.93 31.16 31.45 32.36 33.33 33.84 34.89 35.99 37.72 39.59 40.87 41.59 43.01 44.38 44.49 45.45 46.31 45.74 45.33 45.49 45.49 45.49 45.49 44.19 42.90 42.17 41.45 41.30 40.46 39.76 39.64 39.53 38.85 38.08 38.01 37.94 37.24 36.61 37.20 37.73 38.31 38.91 38.34 38.37 40.14 41.90 42.53 42.63 43.80 45.51 46.69 48.41 49.55 50.71 51.88 53.05 53.63 53.05 53.05 53.05 53.05 51.91 49.67 47.96 46.85 45.43 43.73 41.55 39.07 37.16 35.48 33.96 33.33 33.13 32.69 32.74 33.21 33.73 34.32 34.16 34.68 34.42 34.30 34.79 35.36 35.95 35.36 35.95 35.96 34.77 34.77 34.18 32.41 31.24 30.10 28.38 26.17 24.73 23.15 20.69 18.98 17.69 16.30 15.47 14.87 14.24 13.44 13.60 14.15 14.34 14.91 16.34 17.40 18.49 19.45 20.07 20.42 21.67 22.09 22.12 23.39 23.39 23.84 23.93 23.22 23.37 23.86 22.24 21.93 22.15 21.08 20.29 19.51 19.51 19.51 19.27 19.04 19.27 18.73 18.19 17.92 18.72 19.24 18.20 18.63 19.33 19.69 20.02 19.59 20.07 20.62 20.76 22.24 22.67 23.21 24.62 26.09 26.87 27.74 29.26 31.43 33.08 33.59 35.36 35.96 36.02 37.83 39.18 39.33 39.53 40.46 41.16 41.16 40.47 40.81 40.99 40.07 39.32 38.21 36.77 35.90 35.67 34.36 32.43 31.65 30.87 30.05 29.78 29.53 29.31 29.11 29.11 28.77 28.99 29.82 30.56 31.27 31.67 32.11 33.05 33.96 35.00 35.96 37.10 38.01 38.52 38.30 +5.80 7.86 9.59 10.67 11.21 11.79 11.79 12.39 12.39 12.39 12.39 12.39 11.80 11.21 11.21 10.02 9.43 8.33 7.45 7.45 6.90 6.07 6.26 6.67 6.26 6.07 6.07 5.80 5.59 5.59 6.01 6.01 6.01 5.59 5.59 5.43 4.75 3.73 3.77 4.60 4.60 3.77 3.73 6.01 6.90 7.12 9.22 10.54 12.13 13.74 15.37 17.00 17.00 17.00 17.49 18.49 18.20 16.60 15.81 15.02 13.46 11.93 10.44 8.27 7.29 6.90 5.56 5.56 6.90 7.29 7.68 8.84 10.02 11.21 11.92 11.26 11.21 11.92 12.02 12.02 12.02 10.67 10.67 12.02 10.75 10.17 10.17 9.59 9.01 8.44 8.01 7.29 7.10 7.10 5.92 4.71 4.71 4.71 3.73 3.33 3.33 3.33 3.77 5.03 6.01 6.51 7.10 8.27 9.43 10.62 11.79 12.98 14.15 14.25 14.92 16.08 16.30 16.59 17.33 17.73 17.40 17.49 18.30 18.50 18.35 18.33 18.35 18.41 18.04 17.33 17.00 17.00 16.51 15.69 14.73 13.91 13.08 12.15 11.26 10.14 8.50 6.87 6.01 5.92 6.15 7.38 8.01 9.17 10.14 12.13 13.71 14.78 16.64 17.95 18.49 19.81 20.58 21.67 22.55 22.55 22.98 22.98 22.55 22.36 22.36 21.80 20.50 19.59 18.87 17.73 17.16 16.44 15.72 15.02 14.34 14.34 14.45 13.29 12.87 13.24 12.69 12.15 12.13 13.08 12.15 12.09 12.43 12.15 12.30 12.50 12.96 13.29 14.91 15.81 17.00 18.41 20.00 21.73 23.86 25.87 27.67 28.73 29.80 31.31 32.24 33.54 34.85 35.78 36.18 36.35 37.31 37.31 37.48 38.04 37.65 37.48 37.31 37.09 36.71 35.96 34.85 34.29 33.73 32.07 30.42 29.11 27.80 26.15 23.99 21.87 20.29 18.20 15.87 13.74 11.32 8.76 6.26 4.29 3.17 4.75 6.01 7.66 11.20 13.57 15.37 17.18 19.00 20.34 21.73 24.04 25.31 26.15 28.01 29.30 29.63 30.01 30.76 31.19 31.96 33.05 33.75 34.53 35.58 36.10 35.84 36.37 37.16 37.72 37.96 37.68 38.21 38.48 37.68 38.21 39.02 38.77 37.45 36.14 36.22 36.00 34.91 34.36 34.36 34.14 33.38 32.83 32.83 32.50 32.19 32.50 32.83 32.83 32.83 32.98 33.02 32.87 33.75 34.68 35.17 36.18 37.20 38.89 40.70 41.99 42.69 44.00 45.34 46.12 47.04 47.17 47.17 47.31 46.88 46.31 46.31 46.31 45.74 43.88 42.59 41.87 41.16 40.46 39.76 38.95 39.43 39.33 38.01 37.94 37.83 37.79 37.17 37.13 37.73 38.37 39.55 39.59 39.05 39.64 41.40 42.69 43.42 44.59 46.27 47.38 48.49 50.21 51.39 52.53 53.67 54.85 54.85 54.26 54.26 54.29 53.78 52.12 50.50 49.50 47.62 45.74 43.42 40.93 39.00 37.60 36.54 35.42 34.71 34.18 34.36 34.53 34.36 34.49 34.32 35.02 35.26 35.67 36.70 37.20 36.55 35.95 37.12 36.54 35.36 34.77 33.59 32.41 31.84 30.14 27.92 26.84 24.87 22.92 21.67 19.81 17.81 16.26 15.56 15.06 14.91 14.34 14.15 14.84 15.30 15.87 17.40 17.49 18.98 20.52 21.29 21.67 22.12 23.01 23.10 24.04 24.19 24.68 25.17 24.56 24.27 24.27 23.19 22.93 22.93 21.90 21.45 20.50 20.50 20.50 20.50 20.32 19.59 19.19 18.63 18.63 19.59 19.27 17.95 18.19 19.00 18.63 18.41 18.75 18.75 19.24 19.45 20.62 21.08 21.67 23.11 24.61 25.31 26.75 28.44 29.56 31.25 32.41 34.20 35.43 36.18 37.50 38.85 40.22 40.59 40.88 42.02 42.74 42.11 41.55 40.99 40.44 39.69 38.77 37.86 36.44 36.00 35.24 33.50 32.97 32.97 32.15 31.10 30.33 30.42 30.73 30.73 30.41 30.18 30.56 31.32 32.09 32.92 33.37 33.96 35.36 36.78 37.75 38.91 40.13 41.67 41.72 +7.12 8.92 10.09 10.67 11.21 11.79 11.79 12.39 12.39 12.39 12.39 11.80 11.21 11.21 10.62 9.43 9.43 8.33 7.45 7.45 6.59 5.56 5.07 5.00 5.07 5.27 5.27 5.59 5.59 5.59 6.01 6.01 6.01 5.43 4.75 4.71 4.71 3.73 2.95 2.12 2.12 2.95 3.73 5.43 5.80 6.87 9.32 10.62 12.43 13.74 15.37 17.00 17.00 17.00 17.81 18.63 17.81 16.68 15.57 14.25 13.45 12.15 9.88 7.86 6.48 5.59 5.07 5.07 5.59 6.51 7.07 7.68 8.33 9.59 11.44 10.75 10.17 11.44 12.02 12.02 12.02 10.75 10.29 11.01 10.87 10.29 9.72 9.72 9.01 9.01 9.01 7.68 7.10 7.17 6.51 5.30 4.71 4.75 4.49 3.77 3.33 3.33 3.95 5.43 6.01 6.51 7.66 8.84 10.02 11.80 12.98 13.55 14.14 14.15 15.37 16.59 16.76 17.01 17.16 17.33 17.66 18.49 18.80 18.50 18.35 18.33 18.75 19.24 18.98 18.63 18.63 18.63 18.30 17.49 16.51 15.69 14.87 13.91 12.53 10.83 9.59 8.76 7.68 6.72 6.48 6.72 6.87 7.50 8.84 10.31 12.39 14.24 15.56 17.41 17.95 19.27 20.35 20.90 21.67 22.44 22.98 22.55 22.36 22.36 22.36 22.36 20.88 19.44 19.44 18.87 17.58 16.76 16.67 16.08 14.92 14.34 15.02 14.45 14.01 14.35 13.24 12.92 13.45 14.06 13.81 14.19 14.39 13.18 13.24 13.44 14.25 14.78 15.72 16.97 18.20 19.45 20.90 22.09 23.57 25.50 27.70 29.26 30.05 31.73 33.59 34.69 35.04 35.96 37.09 37.27 38.21 38.77 38.39 38.95 38.95 38.77 38.77 37.83 37.27 37.27 36.71 35.60 34.85 33.73 32.07 30.56 28.90 27.80 26.15 23.75 21.67 19.51 17.41 14.78 11.86 9.22 6.87 4.60 2.12 2.12 4.17 5.34 8.27 11.26 13.76 16.18 18.03 19.30 20.01 21.73 23.58 24.61 26.65 29.07 30.01 30.42 31.19 31.65 32.43 33.75 34.53 34.80 35.32 36.37 36.64 36.92 37.72 38.01 38.48 38.48 38.48 39.27 39.27 39.00 39.02 39.07 38.30 37.45 37.76 38.08 37.53 36.44 35.90 36.00 35.24 34.36 34.36 34.04 33.50 33.05 32.83 32.83 32.83 33.54 34.49 35.05 35.87 36.75 37.10 37.42 38.37 39.50 41.84 43.70 43.75 45.10 45.92 46.70 48.07 48.07 48.19 48.45 48.02 46.88 46.31 46.31 46.31 44.88 43.46 42.89 41.61 40.80 40.69 39.33 39.25 39.76 39.05 38.37 38.34 38.34 37.71 37.75 37.79 37.83 39.05 40.35 41.00 41.00 41.67 43.01 44.27 45.34 46.42 48.09 49.26 51.02 52.77 54.42 54.96 55.50 56.06 55.50 55.50 55.00 55.06 54.01 52.51 51.44 48.89 47.03 45.47 43.56 41.64 39.73 38.66 37.94 36.70 35.71 35.48 35.60 35.85 35.79 35.78 36.02 36.18 37.01 38.01 37.94 37.29 37.20 37.72 36.55 35.40 34.79 34.20 33.63 32.49 30.26 28.67 27.62 25.17 23.31 21.36 19.12 18.04 17.09 16.18 15.02 15.15 15.37 14.74 15.60 16.59 17.18 19.00 18.63 19.69 21.29 22.09 22.92 23.39 23.93 24.04 25.01 25.17 24.86 25.67 25.37 24.78 25.03 24.53 23.53 23.53 23.31 22.36 21.45 21.29 21.29 21.29 21.29 20.45 20.34 20.34 19.76 19.44 19.19 18.63 18.08 17.95 17.92 17.18 17.68 17.96 17.09 17.33 19.00 19.51 20.14 21.62 23.01 23.83 24.86 27.16 28.88 30.06 31.32 33.77 35.67 36.52 37.79 38.48 39.44 41.04 41.77 42.33 43.06 42.68 42.11 41.74 41.74 41.74 40.83 39.73 38.08 37.31 37.31 35.90 34.28 33.75 33.21 32.41 31.94 31.23 30.73 31.05 31.24 31.01 31.71 32.94 33.33 33.77 34.65 35.71 36.78 37.75 39.23 40.73 41.95 43.23 42.20 +8.70 10.17 10.67 10.67 11.21 11.79 12.37 12.96 12.37 12.39 12.39 11.79 11.79 11.20 10.02 9.43 8.84 7.68 6.72 6.15 5.80 5.89 5.43 4.60 4.25 4.49 4.49 5.03 5.43 4.75 4.71 4.71 4.71 4.71 4.71 4.71 4.71 3.73 3.17 2.43 1.86 2.43 3.58 4.75 5.59 7.12 8.99 10.96 12.61 13.44 15.09 16.75 16.75 17.21 17.68 18.04 17.58 16.75 15.56 14.06 13.74 12.13 8.98 7.45 6.01 4.75 4.75 5.07 5.59 6.51 7.07 7.68 8.33 9.01 10.29 10.87 10.29 10.44 11.18 11.01 11.44 11.44 11.01 10.44 10.44 10.44 9.72 9.72 9.15 8.58 8.44 7.75 7.29 6.59 6.51 5.92 4.71 4.29 4.49 3.95 3.33 3.77 4.49 4.75 5.30 7.07 8.84 9.43 10.62 12.43 13.02 13.60 14.15 14.73 16.50 17.13 16.67 17.34 17.73 17.89 18.28 18.72 18.80 18.98 19.62 20.00 20.00 20.07 20.28 20.28 20.28 19.94 19.30 18.49 17.49 16.68 15.87 14.87 13.57 11.79 10.42 9.59 8.33 6.87 6.01 5.34 5.27 6.26 7.93 8.84 10.62 12.94 14.24 16.64 17.95 18.49 19.59 20.90 21.67 22.21 22.55 22.36 22.36 22.36 22.36 22.36 20.88 19.44 19.44 19.30 18.50 17.25 16.67 16.67 16.08 14.92 15.02 15.15 14.73 14.91 14.35 14.24 14.55 15.09 15.83 15.47 15.56 15.06 15.10 15.72 16.08 15.92 16.59 18.15 18.73 19.81 21.10 22.09 23.39 25.22 27.30 29.02 30.31 31.90 33.50 34.69 35.24 36.35 37.27 37.27 37.83 38.95 39.13 39.13 39.51 39.51 39.51 39.13 38.57 37.83 37.27 36.71 35.96 34.85 33.54 32.24 30.56 28.70 26.84 24.97 23.11 20.69 18.63 16.59 13.60 11.18 8.76 6.01 2.95 0.00 2.36 3.73 6.15 9.15 11.58 14.01 16.59 19.02 20.32 21.62 23.67 25.17 25.93 27.59 29.11 30.10 30.87 31.36 32.41 34.00 34.80 34.80 35.08 36.40 37.72 38.01 38.01 38.01 38.75 39.27 39.27 39.80 39.80 39.27 39.02 39.62 39.62 39.02 39.07 38.85 38.85 38.08 36.44 36.77 37.31 36.44 35.90 35.36 34.59 34.36 34.36 34.36 34.36 35.04 35.40 35.78 36.59 37.45 38.37 39.33 40.87 41.35 43.02 44.85 44.88 46.27 47.09 47.28 48.07 48.07 48.89 49.16 48.59 48.02 46.88 46.31 46.31 44.88 43.46 43.46 42.06 40.69 40.69 39.33 38.59 39.11 39.00 38.32 38.90 39.48 38.34 37.79 37.83 37.94 38.59 39.33 41.17 42.43 42.64 43.34 44.38 45.43 46.70 48.92 50.09 51.25 52.92 55.12 56.23 56.82 57.99 58.05 58.05 56.94 56.35 55.33 53.76 52.70 50.88 49.22 47.53 45.42 43.75 42.35 40.78 40.03 39.59 38.48 37.75 37.50 37.16 37.22 37.46 37.09 37.16 37.79 38.08 38.01 38.01 37.94 37.79 36.58 35.43 35.43 35.43 34.30 32.02 29.75 28.67 27.16 24.78 22.98 20.83 18.98 17.96 16.75 15.81 14.91 14.92 15.91 16.01 16.30 17.52 18.72 19.94 19.80 20.52 22.12 23.33 23.78 24.67 25.22 25.01 25.50 25.99 25.87 26.62 26.35 26.09 26.39 25.39 24.42 24.22 24.22 23.31 23.01 22.77 22.67 22.09 22.19 22.09 21.34 20.76 19.59 19.67 19.76 19.30 18.15 17.16 17.18 16.34 16.37 16.38 15.00 15.09 16.68 17.66 18.28 19.59 20.92 22.52 23.60 25.34 28.34 30.20 31.00 32.84 34.68 35.60 37.45 38.87 39.34 40.07 41.20 41.77 41.94 42.68 42.86 42.49 42.49 42.30 41.18 40.28 39.73 38.63 37.86 36.77 35.36 34.28 33.75 33.21 32.45 31.43 31.05 31.72 32.06 32.22 32.92 33.75 34.59 35.48 36.82 38.30 38.91 39.55 40.73 41.74 42.98 43.75 42.20 +7.66 10.09 10.67 11.26 11.84 12.39 12.96 12.37 12.37 12.96 12.37 11.79 11.20 10.02 9.43 9.43 8.27 7.10 6.01 5.59 5.59 5.07 5.00 5.07 4.75 4.29 3.73 3.73 4.71 4.71 4.71 4.71 4.71 4.75 4.29 3.58 4.12 3.58 3.00 3.17 2.95 2.43 3.00 4.29 5.59 7.12 8.70 10.62 12.61 13.44 15.09 16.75 16.75 17.58 18.04 17.68 17.21 16.75 16.38 14.87 13.24 11.93 9.22 7.45 6.01 4.71 3.73 3.77 5.03 6.48 6.51 7.10 8.33 9.01 9.72 10.44 10.44 10.44 11.18 10.44 10.44 11.18 11.18 10.44 10.44 10.44 9.72 9.72 9.72 9.01 8.44 8.01 7.29 6.51 6.51 6.48 6.01 5.03 4.49 4.49 4.17 4.75 5.27 5.59 6.51 7.68 8.92 9.45 10.67 12.60 13.08 14.25 15.37 16.50 18.27 17.72 17.25 18.42 18.15 18.46 19.19 18.98 19.30 19.94 20.07 20.00 20.00 20.07 20.28 20.28 20.28 20.11 19.52 19.00 18.49 17.40 16.08 15.06 14.25 13.24 11.79 10.14 8.84 7.50 5.56 4.75 4.75 5.27 6.67 8.01 9.81 11.33 12.69 15.87 17.73 18.08 19.38 20.69 21.80 22.36 22.36 22.36 22.36 22.36 22.36 22.36 20.88 19.44 19.44 18.61 18.50 17.92 16.67 16.67 16.67 16.08 15.60 15.72 15.72 15.87 15.66 15.56 16.37 16.85 17.13 16.67 16.75 17.00 17.13 17.33 17.34 17.72 18.28 19.00 18.63 19.51 20.62 21.73 23.33 24.67 25.83 27.49 29.53 31.10 32.43 34.36 35.67 36.55 37.46 38.21 38.77 39.32 39.88 39.69 39.69 40.25 40.25 39.88 39.69 39.13 38.57 37.83 37.27 36.71 35.78 34.10 32.98 31.50 29.07 27.21 25.17 22.58 20.16 18.73 16.30 13.29 10.75 8.86 6.48 2.95 0.59 2.95 5.43 7.91 9.88 11.18 13.24 16.21 18.63 20.14 21.67 23.53 24.84 26.15 27.70 29.26 30.83 31.62 31.65 32.45 33.48 34.28 34.87 35.67 36.69 37.50 38.01 38.01 38.52 39.27 39.27 39.27 39.27 39.02 39.02 39.62 39.62 38.77 38.85 38.85 38.85 39.18 38.30 37.76 38.08 37.53 36.44 35.90 35.90 35.90 35.90 35.90 35.90 36.55 36.71 36.52 37.31 38.16 39.06 40.01 41.52 42.53 44.20 46.00 46.06 47.38 48.75 48.92 49.02 49.12 50.05 50.31 49.03 49.03 48.45 47.31 46.73 45.32 44.04 43.34 42.53 41.17 41.08 40.35 39.05 39.05 38.37 37.72 38.30 38.91 38.96 38.41 38.01 38.75 39.33 38.95 40.33 42.76 43.46 43.46 44.49 45.77 47.04 49.12 50.39 52.12 53.67 55.26 56.94 57.52 58.11 58.76 59.35 58.76 57.67 56.67 55.71 54.78 52.88 50.51 48.64 46.73 45.34 44.16 42.54 41.30 40.42 39.64 39.25 38.91 38.52 38.48 38.63 38.77 38.95 38.87 38.95 38.75 38.08 38.01 37.94 37.29 36.70 36.12 35.48 34.36 32.26 30.62 29.47 26.87 24.42 22.68 20.92 19.69 18.33 17.00 16.41 15.72 15.37 15.95 16.76 17.16 18.73 20.62 20.76 20.62 21.73 23.33 24.62 24.67 25.58 26.52 25.83 25.99 26.98 27.19 27.42 26.88 27.16 26.93 25.93 26.09 25.01 25.01 24.87 24.04 23.93 23.17 22.52 23.17 22.58 21.34 20.70 20.07 20.70 20.11 19.00 17.92 16.76 15.87 15.32 15.29 14.06 13.36 13.36 14.06 15.81 16.21 17.45 19.00 20.66 22.40 23.69 26.09 28.58 30.05 31.90 33.75 34.89 37.48 39.34 39.51 39.69 40.99 42.68 42.86 43.05 43.60 43.05 42.30 42.11 41.74 40.83 40.07 38.77 37.66 37.31 36.44 35.36 34.28 32.94 32.17 32.24 32.20 32.06 32.41 32.98 33.33 33.75 35.04 36.37 37.37 38.43 39.39 40.54 41.74 43.27 44.82 45.86 45.14 +8.98 10.67 10.67 11.80 12.43 13.02 12.98 12.39 12.96 12.37 11.79 11.20 10.02 9.43 9.43 9.43 8.33 7.29 6.72 6.35 5.27 3.77 3.33 3.77 4.49 4.75 3.73 3.73 4.71 4.71 4.71 4.75 4.29 4.49 4.49 3.00 3.00 3.00 2.36 1.86 1.67 1.86 3.00 4.49 5.27 6.87 8.50 10.14 12.61 13.44 15.09 16.75 16.75 17.58 18.41 17.58 16.75 16.75 16.75 15.09 12.61 11.79 9.81 7.12 5.59 4.17 3.00 2.50 3.00 5.43 6.01 6.01 7.45 8.01 9.32 10.07 9.88 10.44 11.18 10.62 10.07 10.62 11.18 10.44 10.44 10.44 9.72 9.72 9.72 9.01 9.01 9.01 7.68 7.07 7.07 6.51 6.01 5.43 4.49 4.75 5.00 5.27 5.27 6.15 7.17 7.66 9.59 10.67 11.80 13.67 14.25 15.42 16.59 17.13 18.30 18.28 18.42 19.00 18.61 18.87 19.59 19.27 19.52 20.11 20.07 20.00 20.00 20.07 20.28 20.28 20.28 20.62 20.56 19.52 18.72 18.45 18.20 17.40 15.81 14.25 12.94 11.33 9.81 8.50 6.72 5.27 4.17 3.73 5.43 6.72 8.70 10.29 11.38 14.78 16.41 17.33 19.38 20.14 20.69 21.80 22.36 22.36 22.36 22.36 22.36 22.18 21.29 20.01 19.30 18.50 18.50 18.50 17.25 16.67 16.67 16.67 16.67 16.76 16.30 16.59 17.18 16.34 17.69 18.30 18.15 18.79 18.79 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11.79 11.79 11.21 11.21 11.21 10.75 10.87 10.75 9.72 9.52 10.29 10.02 9.32 9.59 9.59 9.32 10.02 10.29 10.29 11.80 13.55 14.14 15.37 16.67 17.92 19.76 19.67 20.34 21.61 20.70 21.22 21.81 21.22 21.29 20.34 19.44 18.63 18.19 18.49 18.50 18.75 19.59 20.07 20.28 20.62 21.08 21.08 20.82 20.90 21.25 20.88 20.01 18.87 18.03 17.25 16.08 15.37 13.57 10.67 9.45 8.84 5.92 2.95 1.32 1.67 3.77 5.80 9.32 11.93 14.01 15.10 16.41 17.95 18.49 19.59 20.14 20.90 21.45 20.50 20.50 20.32 19.44 19.44 18.03 18.03 18.03 16.67 18.03 18.03 17.45 17.73 17.89 19.59 19.27 19.76 22.74 23.37 24.40 25.50 25.45 26.67 26.72 26.87 27.13 26.68 26.35 25.39 24.61 24.04 23.64 23.05 22.31 21.45 21.35 21.92 23.75 25.89 26.87 27.47 29.11 30.85 32.15 33.50 34.59 35.13 35.79 36.71 37.46 38.21 38.57 38.39 39.34 39.74 39.18 39.59 39.44 38.87 39.76 39.64 38.37 38.08 36.92 35.67 35.48 34.81 33.00 30.64 28.88 28.34 27.21 24.27 22.67 20.34 18.03 17.16 14.91 12.15 8.99 8.33 6.87 6.01 6.51 6.59 7.38 8.84 10.83 12.09 13.44 15.21 16.75 18.04 18.63 19.45 21.10 21.92 22.55 23.86 24.68 24.68 25.67 27.19 27.70 27.94 28.46 29.52 30.87 31.96 32.50 32.83 33.18 33.73 34.14 35.04 35.40 35.04 35.60 35.79 35.79 36.00 36.44 37.22 37.45 36.92 36.38 36.92 37.45 37.99 38.85 38.97 39.32 40.81 41.60 42.18 43.01 44.51 46.64 47.74 48.92 50.80 52.77 52.92 53.67 54.44 54.66 54.90 53.75 53.18 52.60 51.45 50.75 49.92 47.28 45.34 44.00 43.27 43.16 41.87 40.66 39.50 39.55 39.64 39.25 39.43 39.18 39.02 39.74 40.07 40.07 40.49 41.80 43.11 43.56 44.88 46.19 47.05 47.73 48.64 49.94 51.99 53.75 54.74 56.76 58.36 59.51 61.03 61.03 61.03 61.42 60.35 59.98 59.06 57.46 56.45 55.20 53.67 52.31 50.87 49.29 47.73 47.14 46.48 45.03 43.77 43.46 43.26 42.82 42.35 42.18 41.90 41.16 40.49 40.07 40.07 39.74 39.02 37.88 36.59 35.30 34.16 33.02 31.50 29.66 27.67 25.87 23.70 21.67 20.28 19.76 20.32 20.25 20.63 21.42 21.73 23.86 24.78 25.58 27.30 27.34 28.38 29.59 30.00 30.42 30.88 31.39 31.47 31.58 31.72 31.05 31.23 31.43 31.14 30.85 31.10 30.05 29.02 29.11 28.70 27.95 27.04 26.73 25.77 25.00 24.34 23.69 22.42 21.21 20.62 18.30 17.13 15.95 14.25 12.50 9.72 7.86 6.01 4.75 4.17 1.67 2.95 4.75 5.89 7.93 10.03 12.15 14.64 17.21 19.45 21.10 23.22 25.50 27.80 29.92 31.43 32.45 33.73 35.32 36.89 38.77 39.62 40.49 41.74 41.94 41.77 42.59 42.59 42.02 41.74 40.73 40.59 38.87 37.31 37.48 36.35 34.91 33.75 32.97 32.36 31.94 32.22 32.94 33.81 34.89 35.48 36.12 37.60 39.62 41.39 42.16 42.69 44.28 45.89 46.43 47.05 44.47 +11.07 13.76 14.34 14.34 14.34 14.34 13.87 13.29 12.60 12.02 11.01 10.44 10.44 9.88 9.32 8.70 8.19 7.19 6.26 5.43 5.07 5.27 5.27 5.03 4.75 4.71 5.43 5.03 4.29 4.86 5.03 5.27 4.49 4.49 4.49 3.73 3.73 3.00 2.36 1.77 0.83 1.77 3.00 3.73 4.49 6.87 8.50 9.32 11.32 12.92 15.00 16.67 16.67 16.67 16.67 16.67 16.67 16.67 16.26 14.64 13.44 11.79 10.14 8.50 5.56 3.77 3.33 1.67 0.00 1.32 3.17 4.29 4.75 6.01 7.45 8.01 8.44 9.01 9.59 10.09 10.67 11.26 11.21 11.21 11.20 11.21 11.79 11.80 11.92 12.50 12.50 11.58 11.58 12.02 11.18 10.54 10.54 10.54 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23.19 24.25 25.03 26.09 27.47 28.56 29.45 29.81 30.37 31.12 31.31 32.24 33.54 34.29 34.29 34.49 35.04 34.69 34.36 34.59 35.36 35.90 35.85 36.63 37.45 37.45 38.30 39.73 40.07 40.07 40.73 42.18 43.69 45.10 46.64 48.32 49.53 50.84 52.84 53.58 53.76 54.55 55.36 55.48 54.90 53.75 53.31 52.16 50.05 49.81 48.44 45.92 44.00 42.69 41.99 41.26 41.25 39.52 39.00 39.11 38.75 38.95 38.87 39.34 40.07 40.63 41.25 41.70 42.48 43.56 44.04 44.82 45.89 47.28 48.69 49.79 50.56 52.17 53.91 55.04 56.89 57.78 58.24 59.77 60.35 60.35 61.42 61.03 60.09 59.51 57.91 56.45 55.20 53.67 52.08 50.38 49.02 47.73 46.79 45.74 45.07 44.59 43.85 43.16 42.68 42.17 41.95 41.64 41.12 40.93 40.49 40.44 39.51 38.61 38.04 37.09 35.78 34.49 33.36 31.31 28.78 26.62 25.17 23.47 21.73 20.62 20.04 20.72 21.87 22.42 22.67 23.31 25.07 25.83 26.68 28.77 29.36 29.66 30.44 30.83 31.27 31.71 32.15 32.67 32.41 32.54 31.87 32.04 32.24 31.65 31.89 31.62 30.05 29.80 30.10 28.35 27.59 26.84 26.09 25.17 24.16 23.35 22.09 20.83 19.53 18.30 16.50 15.33 14.15 12.43 10.17 8.01 6.90 5.27 3.73 1.77 1.18 2.43 3.77 6.37 8.50 10.03 12.15 14.64 16.67 18.79 21.29 23.01 24.40 26.52 28.77 30.73 32.24 33.48 34.53 35.32 36.92 38.30 39.18 40.25 41.20 41.60 41.87 41.87 41.74 41.49 39.88 39.76 39.18 37.16 36.18 35.22 33.73 32.19 31.65 31.55 31.11 31.71 32.92 33.88 35.00 35.48 36.29 37.50 38.75 40.06 41.12 42.72 44.34 44.88 45.42 46.29 43.16 +12.92 15.02 15.02 15.02 14.45 14.34 13.87 13.44 12.87 12.15 11.74 11.93 11.38 10.29 9.52 8.70 8.01 7.10 6.67 6.67 6.37 5.80 5.03 4.75 4.71 4.71 6.01 6.01 4.75 5.03 5.27 5.27 4.49 4.49 4.49 3.73 3.73 3.17 1.86 1.77 1.67 1.77 2.12 3.33 4.60 6.72 8.37 9.66 10.96 12.61 14.64 16.26 16.26 16.30 16.75 16.75 16.75 16.75 15.56 14.39 13.57 11.93 10.62 8.50 6.37 4.60 3.33 1.67 0.59 1.32 2.95 4.12 4.71 6.01 7.29 7.75 8.33 8.92 9.45 10.02 11.20 11.80 12.39 12.39 11.92 12.50 13.02 12.50 12.02 12.60 13.29 12.87 12.30 12.87 12.69 12.13 12.13 12.13 11.79 11.26 10.83 10.96 11.33 11.86 12.69 14.34 15.37 15.37 17.10 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31.12 32.24 32.80 32.43 32.98 33.18 33.05 33.50 34.28 35.36 35.32 35.32 35.90 35.90 36.44 37.86 39.13 39.90 40.73 41.61 43.01 45.03 46.61 48.32 49.55 51.48 52.92 53.67 54.44 54.66 55.48 55.61 55.17 54.02 53.45 52.74 50.05 48.65 48.54 46.50 44.51 43.21 41.90 40.66 40.66 40.18 39.70 39.33 39.64 39.88 39.34 39.51 39.88 40.71 41.70 42.18 42.97 44.04 44.28 44.54 45.60 46.97 48.59 50.23 50.77 52.36 54.24 55.20 57.02 58.48 58.82 59.29 60.35 60.26 60.26 60.35 59.29 58.82 58.48 57.02 55.20 53.48 51.66 50.14 49.02 47.41 46.10 45.38 45.07 44.59 43.80 43.08 42.54 42.49 42.54 41.67 40.85 41.16 40.93 40.28 39.32 38.95 38.21 36.71 35.60 34.29 32.43 30.42 28.20 25.87 23.70 22.12 21.45 21.08 20.14 20.34 21.80 23.10 24.04 25.53 26.63 26.62 28.30 30.41 30.65 30.56 31.71 32.50 32.11 32.15 33.05 33.50 33.13 33.23 32.54 32.69 32.36 32.04 32.24 31.14 30.05 29.78 29.78 28.48 27.25 25.93 25.39 25.17 24.04 21.87 20.58 19.88 17.92 16.67 15.37 14.14 12.98 10.67 8.44 6.90 5.27 3.77 2.50 1.32 3.00 4.17 6.15 8.21 9.75 11.62 13.74 15.37 16.75 18.79 20.85 22.52 24.22 25.50 26.87 28.77 30.73 32.74 34.28 34.80 35.85 37.22 38.41 39.51 39.90 40.73 41.16 41.03 40.80 40.69 39.64 38.95 38.37 36.88 35.30 34.32 33.54 32.19 31.14 31.05 31.47 31.68 32.09 33.13 34.32 35.14 36.48 37.72 38.48 39.55 40.62 41.47 42.35 43.11 44.21 44.76 41.35 +13.71 15.02 15.02 15.02 14.58 14.45 13.87 13.44 13.04 12.49 12.30 11.93 11.07 10.54 10.02 8.99 8.37 8.33 7.93 7.10 6.87 6.90 6.15 6.01 5.92 5.30 6.01 6.01 5.43 5.59 5.59 5.59 4.86 5.03 4.49 3.73 3.73 3.73 2.43 1.18 0.83 1.18 2.43 3.73 5.27 6.87 8.01 9.59 11.26 12.98 13.81 15.00 15.47 15.92 16.75 16.75 16.75 16.38 15.21 14.73 13.44 11.79 10.96 8.50 6.87 5.56 3.77 2.12 1.77 1.67 2.36 2.95 4.12 5.92 7.07 8.27 9.43 9.45 10.09 10.67 11.26 11.92 13.08 13.76 13.29 13.18 13.76 13.87 13.44 13.44 13.44 13.60 14.01 14.55 14.24 13.74 13.74 13.74 13.44 13.36 13.33 13.44 13.74 13.97 14.24 15.72 16.67 16.67 17.69 19.53 19.53 20.25 21.61 21.42 21.42 22.19 22.09 21.34 20.07 20.04 20.04 19.00 17.58 16.97 16.87 16.18 16.38 16.67 16.75 17.00 17.18 17.40 18.28 18.63 19.02 19.30 19.59 19.53 19.48 19.45 18.27 17.72 17.25 15.42 14.34 13.29 11.44 9.72 7.45 5.03 2.43 0.00 3.17 6.59 8.21 10.62 13.46 14.78 16.09 17.66 18.19 17.95 19.51 20.04 19.81 19.27 18.49 18.83 18.08 16.77 16.59 16.59 16.03 16.77 17.52 17.33 18.08 19.27 20.29 21.08 22.15 23.86 25.69 27.24 28.83 29.61 30.83 31.71 30.56 31.47 31.58 29.26 28.30 27.94 26.15 24.61 24.04 21.83 19.59 19.44 19.59 19.81 21.35 22.92 23.39 24.19 25.87 27.19 28.46 30.10 30.64 30.97 32.24 33.54 34.29 35.05 35.61 36.59 37.02 37.02 37.91 38.37 38.37 38.85 38.75 39.11 39.00 37.79 37.72 37.71 37.12 36.55 35.43 33.67 33.13 32.67 30.92 29.17 26.93 24.62 23.46 21.16 17.58 15.87 14.91 12.49 10.62 8.98 7.38 6.37 5.00 3.95 3.58 3.73 5.27 6.37 6.67 7.10 8.33 9.66 10.49 11.44 12.26 13.08 13.74 14.49 15.81 17.13 17.95 17.95 18.83 20.32 20.88 21.45 23.15 24.61 25.91 26.87 27.04 27.77 28.90 30.03 30.20 30.56 32.07 32.50 32.19 32.43 33.50 33.75 34.00 35.36 35.90 35.90 36.55 37.83 39.34 40.59 40.80 41.67 43.75 45.98 48.33 49.59 51.54 53.50 54.25 55.13 55.36 55.61 55.88 55.31 54.59 53.88 53.18 51.20 48.65 47.96 46.42 45.03 43.70 42.43 41.84 40.73 40.28 40.42 39.64 39.88 40.16 39.51 39.88 40.71 41.16 41.40 41.90 42.69 43.75 44.54 45.07 46.12 47.45 48.52 49.91 50.77 52.00 53.68 54.47 55.88 57.78 58.71 58.71 59.68 60.17 59.68 59.68 59.19 58.24 57.78 56.89 55.04 53.11 51.45 50.14 49.02 47.60 46.25 45.38 44.68 43.77 43.37 43.46 43.26 42.82 42.35 41.74 41.39 41.40 40.62 40.16 39.73 38.77 37.27 35.60 35.04 33.59 31.19 29.33 27.42 25.50 23.47 21.67 20.76 21.12 20.88 21.34 22.42 23.35 24.61 26.70 27.94 27.94 29.92 31.72 31.58 31.84 33.37 33.75 32.92 32.94 33.81 33.88 33.50 33.50 33.13 33.23 32.54 32.69 32.36 30.73 30.42 29.82 29.53 28.73 26.88 25.61 25.39 24.84 22.98 20.69 20.32 19.44 17.34 16.08 14.25 13.02 11.20 8.33 6.59 5.03 3.33 1.86 1.67 3.17 4.86 6.48 8.33 9.72 11.18 12.69 14.24 15.81 17.49 19.45 20.52 22.12 24.17 25.45 26.33 27.34 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39.23 39.23 38.41 36.48 36.69 36.40 35.60 35.60 34.00 33.73 33.47 31.90 31.65 31.41 30.64 29.11 27.59 27.39 26.47 25.01 24.16 22.67 21.34 20.07 17.72 16.76 16.59 15.81 14.73 14.17 14.87 15.81 16.77 18.03 19.08 20.76 21.34 22.42 22.42 22.42 23.57 23.58 23.05 23.05 23.10 22.19 21.73 21.29 20.50 19.81 19.24 18.80 18.87 19.62 20.28 20.62 21.67 23.15 24.42 25.37 27.72 30.20 30.26 31.00 32.36 32.36 32.36 31.78 30.52 29.09 27.13 24.76 22.52 20.88 20.32 20.07 20.07 21.35 23.31 24.61 26.01 27.62 28.67 29.67 30.78 30.33 30.26 30.20 29.09 27.51 27.04 26.46 22.67 +16.51 16.34 16.34 16.87 16.34 15.81 15.29 14.25 13.74 13.74 13.24 12.61 12.92 12.92 12.15 11.93 11.86 11.74 12.02 12.02 12.43 12.98 13.02 13.08 12.60 12.15 12.49 12.69 11.93 10.62 10.29 10.54 8.98 7.45 6.90 5.59 4.75 4.12 3.00 2.95 3.33 2.95 3.00 4.12 4.75 5.59 6.35 6.59 7.68 8.50 8.50 8.84 10.83 11.70 10.87 11.32 11.79 12.26 13.24 12.43 11.93 13.24 13.74 12.43 11.93 11.93 11.79 11.26 11.26 11.32 10.14 10.62 9.75 9.72 11.33 11.20 11.26 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23.05 21.51 21.03 20.58 19.94 20.14 19.59 18.49 18.19 18.72 18.72 18.19 17.92 18.20 18.19 17.13 16.60 16.60 15.81 15.32 15.02 14.24 12.69 11.93 11.93 10.83 9.72 8.33 7.10 5.89 4.29 3.77 3.77 3.73 4.71 6.01 6.90 7.66 8.50 10.14 11.79 12.92 13.76 14.59 15.56 17.00 18.20 18.73 19.94 21.87 24.42 26.62 29.47 32.46 34.36 37.68 42.45 45.74 47.76 49.78 51.64 54.42 55.16 54.42 54.98 54.64 54.32 54.02 51.77 49.60 46.79 44.82 43.61 41.99 41.17 40.16 39.51 38.97 38.77 39.00 39.55 39.92 40.86 42.00 42.20 42.68 43.50 43.84 43.84 44.13 44.13 44.13 44.88 44.59 44.54 45.35 45.42 45.86 46.96 48.59 49.81 51.09 52.07 53.15 54.26 54.26 54.81 54.80 53.63 53.05 52.47 51.35 49.67 46.92 44.96 43.88 42.49 41.16 40.32 39.41 38.77 38.56 38.37 38.33 38.75 39.64 39.85 39.02 38.56 38.66 38.19 37.27 36.37 35.54 34.65 33.33 31.71 30.10 28.53 27.30 26.35 25.73 25.44 25.00 25.93 27.16 28.67 30.60 31.87 33.05 35.06 36.89 37.16 37.72 39.62 40.73 39.41 39.92 41.23 40.73 39.41 39.41 39.41 38.30 36.40 36.40 36.40 35.32 35.58 34.53 33.50 33.81 32.83 32.07 32.07 31.12 30.20 28.73 28.01 27.30 25.77 25.00 23.69 22.42 21.21 19.00 17.58 16.97 16.88 16.51 15.83 16.18 16.60 18.08 19.44 20.34 21.34 21.34 22.42 23.01 23.64 24.19 23.58 23.01 23.05 23.05 22.09 21.73 21.29 20.50 20.35 20.03 19.12 18.50 18.35 18.63 19.00 20.14 21.73 23.69 25.34 26.58 29.09 30.42 30.62 31.45 31.45 31.45 31.45 30.05 27.92 26.58 24.76 21.93 19.94 19.00 18.79 19.69 21.08 22.36 23.15 25.09 26.75 27.92 29.02 29.52 28.97 29.61 29.61 27.92 26.84 25.77 24.04 19.76 +16.38 16.60 16.87 16.34 15.81 15.29 14.25 13.74 13.74 13.74 13.08 12.15 11.70 11.70 11.79 11.93 12.15 12.15 12.02 11.92 12.37 13.02 13.02 13.76 13.44 12.49 12.69 12.69 12.15 11.07 10.54 10.54 8.98 7.45 7.45 6.01 4.71 4.71 3.58 2.12 1.67 2.12 3.58 4.71 4.71 5.43 5.80 6.07 7.68 8.01 8.37 8.37 9.17 11.32 10.96 10.96 11.79 11.79 12.26 12.75 11.93 12.43 13.74 13.24 12.26 11.79 12.61 12.15 12.09 11.67 10.42 11.32 11.12 10.83 11.18 10.29 10.67 11.79 11.92 12.72 14.17 14.78 15.81 16.88 17.81 19.45 20.52 21.73 22.95 23.33 24.17 25.45 25.89 26.33 26.87 26.87 26.87 26.87 26.87 26.87 26.87 26.41 25.89 25.85 25.00 23.75 23.39 23.22 22.24 21.35 20.82 20.14 19.59 19.44 18.87 18.03 17.25 16.67 16.67 16.59 15.42 13.76 13.18 13.29 12.87 11.38 10.54 10.54 10.14 10.49 11.62 11.86 11.74 12.60 14.78 16.50 17.72 19.76 20.58 22.58 24.04 24.42 24.07 23.75 23.99 22.68 21.61 21.08 18.98 16.34 14.24 10.62 7.45 4.17 2.50 3.58 5.07 7.10 10.03 11.32 13.08 14.06 15.06 15.57 15.87 16.68 16.88 16.34 15.32 15.56 15.56 16.09 16.34 16.34 17.66 18.72 19.00 20.62 22.24 24.19 26.52 28.17 30.29 32.30 35.16 36.37 36.75 37.58 38.41 39.25 38.41 37.58 37.14 35.87 34.21 32.11 28.75 26.67 24.59 21.29 18.41 15.56 14.06 12.13 9.52 8.44 7.68 6.15 6.87 7.93 8.50 9.52 10.62 11.74 13.76 14.34 15.95 17.13 18.30 20.63 21.87 23.10 24.34 25.67 27.04 29.02 30.87 32.87 34.32 34.32 35.78 36.52 36.52 37.27 36.71 36.15 35.96 35.78 33.75 32.46 31.01 29.59 28.09 26.03 24.78 22.99 22.42 20.83 20.34 19.88 18.63 18.83 19.38 19.04 18.72 18.72 18.19 17.95 17.40 17.40 17.95 17.41 16.34 15.56 15.10 14.55 14.24 14.55 14.35 13.04 11.58 10.17 9.45 8.84 7.66 7.10 6.72 5.27 5.00 5.27 6.01 7.07 7.29 8.01 8.98 10.02 10.82 11.79 12.98 13.76 14.64 15.56 16.88 17.95 18.63 20.01 22.67 25.40 27.70 30.73 33.84 37.33 40.73 44.45 47.76 49.22 50.69 53.48 54.60 54.42 54.24 53.91 53.75 52.88 51.20 48.92 46.15 44.21 43.03 41.45 40.22 39.74 39.69 39.39 39.27 39.55 40.13 40.54 41.03 41.85 42.20 42.20 42.54 43.37 43.84 44.13 44.13 44.13 44.88 44.82 44.54 45.60 46.51 46.22 46.06 47.17 49.02 51.02 52.07 53.15 54.24 53.64 54.21 54.80 53.62 52.44 51.27 50.12 49.00 46.85 44.38 42.59 40.99 39.62 39.00 38.91 38.77 38.56 38.37 38.33 38.77 39.69 39.76 38.93 38.56 38.19 37.27 36.82 36.31 35.04 33.34 31.71 30.56 29.82 28.44 26.62 25.61 25.91 26.35 26.09 27.11 28.38 29.94 32.30 33.54 34.36 35.60 37.17 38.21 38.75 39.83 41.15 40.35 40.13 41.23 40.93 39.83 39.83 39.55 38.48 36.89 36.89 36.89 35.32 35.06 34.59 33.59 33.38 33.18 32.43 32.06 31.58 31.45 30.05 29.36 28.67 26.68 26.03 24.78 23.58 23.10 21.61 19.59 17.95 17.18 17.33 17.50 17.81 18.72 19.59 20.16 21.03 22.00 22.58 23.69 24.22 24.22 24.22 24.22 24.81 24.34 23.75 22.67 21.73 21.29 20.50 20.14 19.24 18.63 18.04 17.52 17.81 17.92 18.63 20.34 22.42 24.78 26.03 28.00 30.05 30.74 31.58 31.16 30.60 30.44 29.47 27.42 25.51 24.19 21.34 18.63 17.40 17.09 18.63 20.29 21.62 23.01 25.00 26.03 27.16 28.34 28.93 28.93 28.93 28.38 27.34 26.25 24.04 21.73 17.92 +16.75 17.40 17.13 16.08 15.81 15.57 15.37 15.37 14.87 14.06 13.44 12.92 12.09 11.70 11.44 10.82 11.18 12.02 11.92 11.80 12.39 13.08 12.60 13.44 14.35 13.24 12.69 12.69 12.92 11.86 10.54 10.54 8.98 7.66 7.12 5.59 4.29 3.58 3.54 2.43 1.67 2.43 3.54 3.58 3.73 4.49 5.80 6.35 6.87 7.55 8.37 8.37 8.37 10.00 10.49 10.96 11.79 11.79 11.44 12.43 12.43 11.93 13.24 13.74 13.24 12.26 12.61 12.98 12.92 11.67 11.26 12.15 12.26 11.62 11.07 11.18 11.44 11.92 11.79 13.02 14.34 14.91 16.41 17.66 18.49 19.30 20.28 21.45 22.18 23.35 24.62 25.42 26.28 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15.87 15.10 14.91 14.35 13.24 13.04 13.44 13.18 11.84 10.67 10.62 10.02 8.86 7.86 7.66 6.87 6.26 6.72 7.12 7.29 7.07 8.33 9.15 9.52 10.29 10.82 11.44 12.15 12.92 13.81 15.06 16.64 18.08 19.44 20.92 24.17 26.58 28.44 32.26 36.88 39.44 42.74 46.96 48.45 49.75 52.17 53.85 54.42 53.68 52.77 53.18 52.16 50.39 48.75 46.10 43.61 42.49 41.59 39.76 38.61 38.77 39.07 39.00 39.32 39.92 40.37 40.55 40.55 40.90 41.72 42.07 42.07 42.20 42.82 43.31 42.98 43.56 44.82 45.07 44.82 45.52 46.40 46.46 47.17 49.02 51.02 52.02 52.50 53.63 53.62 53.64 53.65 53.05 52.45 51.27 49.50 47.79 46.27 44.27 41.74 39.69 39.07 38.48 37.60 37.48 38.10 38.37 38.33 38.37 38.48 38.48 38.48 38.10 37.27 36.82 36.37 35.44 34.59 33.34 31.84 30.29 28.77 27.70 27.16 26.70 26.87 27.34 26.58 27.13 28.58 30.17 32.62 34.29 36.00 36.44 37.45 39.27 39.80 40.07 40.87 41.15 40.64 41.15 40.87 40.07 39.80 39.27 39.02 37.45 37.22 37.53 36.55 35.79 35.04 34.29 33.54 33.36 33.02 32.16 31.45 31.32 30.52 29.84 29.09 27.75 27.13 25.93 24.22 23.17 22.19 21.06 20.29 19.30 18.87 19.17 19.45 20.56 20.82 21.62 22.44 22.77 23.75 24.34 24.27 24.22 24.81 25.45 25.45 24.34 23.83 23.35 22.44 21.45 20.50 19.59 18.45 17.81 17.13 17.09 17.81 18.19 18.63 20.34 22.42 24.78 26.09 27.62 29.15 29.87 31.32 31.32 30.60 29.87 28.44 27.04 25.00 23.01 20.76 18.63 17.40 16.67 17.69 19.27 21.45 23.46 25.00 26.03 27.13 28.29 28.90 28.93 28.34 27.16 25.45 23.75 21.61 20.01 17.40 +16.75 16.88 16.60 16.37 16.08 15.57 15.37 15.37 14.73 13.44 12.61 12.50 12.09 11.32 10.82 10.54 11.18 12.02 12.43 12.37 12.39 13.76 13.44 13.04 14.35 14.35 13.24 12.92 13.45 12.13 10.54 10.54 9.22 8.19 6.87 5.27 4.49 3.00 2.95 3.17 3.33 3.17 2.95 3.00 3.73 5.03 6.35 5.80 6.07 7.68 8.01 8.37 8.37 8.76 10.00 10.42 11.32 11.79 10.96 11.44 12.75 12.26 12.26 13.24 13.74 13.24 13.08 13.44 13.44 12.15 12.09 12.92 12.98 12.26 12.13 12.69 12.15 12.60 13.02 13.55 14.15 14.34 15.72 16.77 17.66 19.24 20.62 21.58 22.28 23.47 24.67 25.42 26.25 27.11 27.99 28.44 28.53 28.53 28.64 28.64 28.17 27.34 26.33 25.89 25.89 25.42 24.59 23.84 23.10 22.40 21.93 21.35 20.82 20.14 18.83 18.63 18.46 17.16 16.76 15.60 14.45 14.45 14.58 13.44 11.93 12.15 12.39 11.93 11.70 11.26 10.96 11.86 13.04 13.87 14.84 16.50 17.72 19.67 21.73 22.58 24.22 25.53 26.28 25.93 24.84 23.75 23.46 22.40 19.51 17.95 15.87 12.69 9.52 5.43 2.43 1.77 2.95 5.43 8.84 10.14 11.44 13.24 13.74 15.06 15.81 16.09 16.09 15.10 16.41 16.41 15.66 16.41 16.97 17.52 18.49 18.73 19.51 22.15 23.55 24.36 26.17 28.61 31.72 33.71 34.53 36.18 38.19 39.39 38.56 38.93 39.31 38.48 37.65 36.37 34.65 32.15 30.10 27.99 25.06 22.12 19.17 17.13 15.09 13.08 11.62 8.98 7.29 6.48 5.59 5.27 5.43 7.12 8.44 9.32 10.17 11.80 13.55 14.14 15.37 17.25 19.08 20.34 21.73 24.45 26.31 26.87 28.33 31.31 32.83 32.83 34.36 35.13 35.13 35.90 35.67 35.45 35.67 34.36 32.83 31.31 29.81 28.33 25.44 24.04 22.67 20.66 20.04 19.48 18.35 17.92 17.45 15.87 15.47 15.66 15.10 15.10 15.56 16.09 15.87 15.10 14.91 14.91 14.91 14.91 14.91 14.73 13.44 12.15 11.92 12.39 12.39 11.26 11.20 10.67 9.72 8.76 8.44 8.50 7.50 8.01 8.19 7.66 7.29 7.75 7.66 8.33 9.72 10.29 10.82 11.44 12.09 12.53 12.94 14.24 16.21 18.03 19.00 22.40 25.45 27.34 30.62 35.16 38.45 41.37 45.47 47.89 49.19 50.50 52.17 53.85 53.68 52.04 52.31 51.90 49.60 48.09 46.06 43.61 41.99 41.17 40.59 39.51 38.63 38.77 38.48 38.30 39.23 40.21 40.55 40.90 41.60 42.07 42.07 42.07 42.20 42.34 42.49 42.35 42.25 42.98 43.75 43.56 44.00 45.49 46.31 47.04 48.25 49.72 51.32 51.86 52.44 53.63 54.24 53.67 52.47 51.87 51.27 50.10 48.41 45.62 43.50 41.61 39.13 37.76 37.16 37.10 37.01 36.82 36.70 37.09 37.54 37.20 36.82 36.82 36.82 36.82 36.37 35.04 33.75 32.92 32.15 31.58 30.56 29.11 28.46 28.24 27.59 27.74 28.44 28.31 28.93 29.75 31.45 33.36 34.29 36.55 37.53 37.99 40.06 40.32 40.32 41.39 41.67 40.59 40.85 41.64 40.32 39.27 39.02 38.77 37.76 36.99 36.55 36.71 36.52 35.78 34.89 34.59 34.45 33.75 33.05 32.36 31.58 31.50 30.84 29.52 28.88 28.28 27.13 25.51 24.51 23.72 22.76 21.61 20.62 20.07 20.00 20.28 21.08 21.61 23.11 23.88 24.30 25.09 25.00 25.00 25.51 26.03 26.03 24.92 24.34 24.42 23.46 22.44 21.62 20.69 19.27 18.45 17.81 17.09 16.26 16.18 17.18 17.73 19.00 21.21 23.69 25.77 27.30 28.73 29.63 30.37 30.76 30.60 30.03 28.17 26.01 24.42 22.42 19.53 17.16 16.08 16.26 17.40 18.83 21.16 22.67 24.27 25.99 27.13 28.28 28.28 27.70 27.13 25.99 24.27 22.58 20.45 18.87 16.08 +16.75 16.68 16.08 15.57 15.06 14.25 13.74 13.74 13.44 12.92 12.15 11.67 11.32 10.62 10.54 10.29 10.29 10.67 11.79 12.43 11.92 13.44 14.35 13.24 13.46 14.24 13.71 13.45 13.74 12.13 10.54 10.54 10.02 8.70 7.12 5.59 4.75 4.12 2.95 1.86 2.12 2.64 3.00 4.12 4.71 5.43 5.80 5.27 6.07 7.19 7.55 8.37 7.93 8.33 10.00 10.00 10.42 11.32 10.96 10.96 12.26 12.75 12.26 12.61 13.44 13.44 13.44 13.44 13.44 12.98 12.92 13.33 13.76 13.44 13.24 13.45 12.69 13.44 13.76 13.60 14.74 15.37 16.08 16.30 17.33 19.04 20.29 21.93 23.22 23.57 23.93 25.06 26.25 27.09 27.55 27.61 28.07 28.17 27.81 28.17 28.64 28.29 26.87 25.50 25.06 24.62 23.75 22.95 22.18 21.92 21.74 21.12 20.56 19.51 18.49 18.63 18.63 17.73 17.16 15.87 15.30 15.72 14.73 13.24 13.24 13.46 12.65 11.93 11.70 11.70 11.79 12.13 13.04 14.01 15.60 17.72 18.87 20.25 21.73 23.15 24.61 25.34 26.84 27.04 25.93 24.84 24.53 23.21 20.35 18.49 16.64 14.01 10.62 6.59 3.58 1.67 2.12 5.00 7.93 9.66 10.62 12.13 13.71 14.78 15.10 16.21 16.77 15.47 16.21 16.59 16.44 17.16 17.16 17.89 19.38 19.59 20.04 22.67 24.27 24.27 26.17 29.26 31.72 33.84 35.00 36.54 38.56 39.02 39.02 39.76 38.93 38.56 38.10 36.82 35.16 32.22 30.49 28.38 25.06 22.95 20.42 17.92 15.47 13.44 11.79 8.99 7.66 6.01 4.75 5.03 5.43 6.37 7.12 7.86 8.86 10.02 11.79 13.57 14.84 16.08 18.03 19.44 20.88 22.92 24.78 26.09 27.59 30.64 31.96 32.50 34.04 34.82 35.06 35.32 34.53 34.53 35.06 34.04 32.50 30.97 29.66 27.59 24.61 23.15 21.73 19.00 17.72 17.72 16.50 15.37 15.42 15.15 14.91 14.91 14.91 14.55 14.01 13.60 13.44 13.44 13.44 13.44 13.44 13.44 13.44 13.76 13.08 11.92 11.80 11.79 11.80 10.67 10.29 10.62 10.29 9.22 8.99 9.66 9.17 8.84 8.50 8.19 8.21 8.44 8.27 8.84 9.45 9.15 9.52 10.02 10.49 10.87 11.62 12.65 14.17 16.08 17.72 20.66 23.75 26.25 29.47 33.44 37.65 40.63 43.25 46.22 48.64 49.94 50.50 52.17 52.94 51.74 51.45 51.20 48.92 47.38 46.00 43.62 41.45 40.22 40.31 40.44 39.62 39.27 39.55 39.73 40.21 40.55 40.55 40.78 41.14 41.25 41.60 42.07 42.20 42.34 42.49 42.85 42.76 42.18 42.72 43.33 44.00 45.49 46.16 46.80 48.09 49.04 50.69 51.85 51.86 52.50 53.15 53.15 51.91 51.30 50.69 48.91 47.74 44.88 42.25 41.03 38.95 36.99 36.12 35.79 35.36 35.54 36.27 37.10 37.54 37.14 36.82 36.82 36.82 36.82 36.31 35.42 34.59 33.37 31.84 30.90 30.73 30.33 29.26 28.35 27.44 27.42 28.38 29.47 30.73 31.00 32.73 34.49 35.04 36.22 37.76 38.77 40.59 40.59 40.59 42.16 41.90 40.87 41.12 41.90 40.62 39.62 39.62 38.63 38.21 38.01 36.52 36.35 36.75 36.59 35.02 34.79 35.37 34.59 34.42 34.36 33.13 32.54 31.87 30.64 30.06 29.49 28.38 26.93 26.73 25.91 24.07 22.93 22.24 21.73 21.67 21.92 22.67 22.93 23.31 23.88 24.87 25.31 25.67 26.25 26.25 26.09 26.03 25.00 24.42 23.75 22.19 21.73 20.88 20.14 19.51 18.72 17.33 16.67 16.30 15.87 16.41 17.45 18.30 20.07 22.67 25.44 26.87 28.33 29.81 29.81 29.81 29.81 29.81 28.33 25.44 23.25 21.83 19.48 16.44 15.37 16.30 17.40 18.63 20.34 21.93 24.19 25.93 26.52 27.11 27.13 26.52 25.93 24.78 23.10 21.42 19.30 17.16 14.25 +16.75 17.00 16.68 15.87 15.37 14.87 14.06 13.24 12.61 12.92 12.50 11.26 10.96 10.82 10.54 10.62 10.75 10.62 11.26 12.02 12.15 13.04 14.35 14.55 13.97 13.74 13.74 13.74 13.74 12.13 10.82 10.62 9.81 8.70 7.12 5.59 4.29 3.73 3.00 1.86 1.86 2.43 3.00 3.58 3.73 4.49 5.27 5.27 6.07 6.87 7.68 8.01 7.55 8.37 9.59 10.00 10.00 10.42 10.49 10.96 11.79 12.61 12.61 12.61 13.44 13.44 13.44 13.44 13.81 13.76 13.33 13.33 14.59 14.64 13.91 14.06 13.45 13.71 13.79 14.45 16.01 16.50 16.59 17.34 18.73 19.19 20.14 21.36 22.24 23.70 24.87 25.58 26.28 26.67 27.11 27.99 28.44 28.64 28.64 28.17 27.81 28.29 28.29 26.87 25.50 25.06 24.62 23.33 22.56 22.75 22.40 21.74 20.62 19.52 19.51 19.59 18.83 17.95 17.73 16.97 16.77 16.59 15.10 14.24 14.55 14.24 13.74 13.08 12.09 12.09 12.61 12.94 14.01 14.91 15.72 17.72 19.48 20.83 22.19 23.72 24.61 25.53 26.48 27.25 26.70 25.39 25.39 24.07 21.67 19.27 17.41 14.78 11.38 7.29 4.12 2.43 1.77 4.17 6.87 9.22 10.29 11.38 13.24 14.35 14.91 15.47 16.59 16.44 16.30 16.87 17.01 17.01 17.58 18.46 19.38 20.14 21.12 22.93 24.25 25.03 27.49 30.08 30.90 33.84 35.83 37.01 38.66 38.66 39.48 40.31 39.02 38.56 38.56 37.27 35.16 33.05 31.32 28.38 25.06 23.39 20.90 18.41 16.30 13.76 11.67 9.59 8.01 5.80 4.75 4.75 4.75 5.07 5.59 6.59 8.27 9.43 10.02 12.43 14.34 15.02 17.01 19.02 20.50 21.80 23.86 25.39 26.93 30.05 30.83 31.62 33.21 33.73 34.79 35.32 34.79 34.53 34.00 33.21 31.62 30.05 29.26 26.93 23.86 22.36 20.88 18.03 16.67 16.67 15.37 14.15 14.25 13.87 13.44 13.44 13.44 12.87 12.15 12.15 12.87 13.44 13.29 12.60 12.02 12.02 11.92 12.39 12.39 11.79 11.21 11.21 11.92 11.44 11.01 11.38 11.07 10.02 9.81 10.49 10.42 9.59 8.84 8.99 9.75 9.15 8.92 9.45 9.43 8.33 8.44 8.76 8.50 8.76 9.81 10.54 12.15 14.25 16.50 18.94 22.09 24.62 27.87 32.06 36.35 39.73 41.59 44.00 46.97 49.39 49.75 50.69 51.64 50.60 50.17 50.39 48.75 46.69 45.39 43.64 41.59 39.88 39.34 39.32 39.07 39.00 39.62 40.04 39.39 39.25 40.07 40.31 40.31 40.78 41.14 40.90 40.55 41.03 41.67 41.74 41.67 41.64 41.94 42.57 43.05 44.03 45.19 46.01 48.02 49.59 50.69 51.86 51.88 52.53 53.15 53.15 51.94 50.73 50.12 48.32 47.14 44.85 41.67 39.76 38.21 37.22 36.40 35.79 35.36 35.48 36.25 36.27 35.87 36.31 36.82 36.82 36.82 36.37 35.44 35.00 34.61 33.50 32.06 31.05 30.42 30.05 29.11 28.33 28.20 27.92 28.31 28.93 30.42 31.32 32.87 35.22 36.35 36.77 37.99 39.02 40.33 40.87 41.12 41.90 41.40 41.40 41.65 41.40 40.39 39.39 39.73 38.77 37.83 38.21 37.31 36.44 36.88 37.33 35.84 35.17 35.67 35.48 35.43 35.43 34.81 34.18 33.59 32.43 31.28 30.78 30.33 28.31 26.87 26.47 25.39 24.51 23.86 23.39 23.33 23.57 24.27 23.99 23.75 24.61 25.44 25.44 26.35 26.84 26.35 26.84 26.75 25.09 24.51 23.93 22.88 22.44 21.06 19.59 18.73 18.20 17.21 16.26 15.56 15.57 16.41 17.92 18.87 20.07 22.67 25.44 27.04 27.95 29.45 29.66 29.11 29.11 28.90 27.77 25.44 22.67 20.66 19.48 17.16 15.21 15.09 16.34 18.46 20.34 22.46 24.17 25.34 25.93 26.52 26.54 25.95 25.34 23.58 21.29 19.59 17.45 14.91 12.43 +16.75 17.00 17.00 16.51 15.69 15.21 14.73 13.44 12.15 11.70 11.70 11.32 10.62 10.54 10.29 10.29 10.67 11.20 11.92 12.02 12.87 13.24 13.46 15.02 15.29 14.25 13.74 13.74 13.74 12.43 11.44 10.96 9.32 8.50 6.87 5.27 4.49 3.73 2.95 2.95 2.95 2.43 2.36 3.00 3.73 4.49 5.27 5.27 6.07 6.87 7.19 7.10 7.93 8.37 8.76 10.00 10.00 10.00 10.00 10.42 11.32 12.61 12.61 12.61 13.08 13.24 14.06 13.91 14.26 14.26 13.81 13.76 15.00 15.00 14.59 15.09 14.06 14.25 15.56 16.03 16.30 16.67 16.50 17.72 19.00 19.44 20.32 20.69 21.61 23.75 25.01 25.69 26.33 26.67 27.09 27.94 28.44 28.64 28.64 28.64 28.29 27.81 27.95 27.47 26.41 25.50 25.06 25.01 24.62 23.47 22.28 21.58 20.76 20.62 20.56 19.51 18.49 17.95 17.95 17.41 16.41 15.47 15.10 15.02 14.78 14.24 13.74 13.44 13.33 13.33 13.44 13.74 14.24 14.91 15.72 17.72 20.07 21.34 22.67 24.87 25.17 26.09 27.04 27.25 27.25 26.15 25.31 23.99 22.68 20.04 17.95 15.87 12.49 8.44 5.34 2.95 1.32 2.50 5.27 8.44 9.52 10.62 12.49 13.60 14.91 14.73 15.72 16.76 16.67 17.45 17.58 16.87 17.58 18.87 20.32 20.69 21.67 23.21 23.99 25.83 28.50 30.92 31.23 33.99 36.78 37.13 38.77 39.13 39.48 40.31 39.48 38.66 38.66 37.83 35.71 33.59 31.94 28.99 25.22 23.57 21.45 18.87 17.13 14.59 11.67 10.00 8.76 6.37 5.03 4.75 3.73 3.77 5.03 6.01 7.10 8.84 9.45 10.87 12.87 14.17 15.47 18.08 20.14 20.90 23.21 24.78 26.35 29.26 30.57 31.65 32.74 32.74 33.55 34.36 34.36 34.36 33.55 32.45 31.37 29.78 28.73 26.93 23.86 22.36 20.88 18.03 16.67 16.67 15.37 13.57 13.02 12.50 12.02 12.02 12.02 12.02 12.02 11.58 11.58 12.02 12.50 12.50 11.92 11.26 11.21 11.79 11.80 11.92 10.67 10.67 12.15 11.74 11.18 11.93 12.15 11.07 10.82 11.44 11.32 10.42 9.59 9.66 10.14 8.99 8.98 9.15 8.33 7.66 8.27 8.44 7.68 7.50 8.01 9.22 11.01 13.02 15.37 17.25 20.34 23.58 26.47 30.76 34.69 38.41 40.83 42.69 45.31 47.73 48.64 48.83 50.35 49.88 48.77 49.12 47.58 45.51 44.20 43.12 41.75 40.16 39.51 38.97 38.77 38.48 38.10 38.73 39.06 38.77 39.13 39.85 40.31 40.31 40.31 40.55 40.55 40.21 39.73 39.83 40.07 40.59 41.16 41.59 41.94 42.59 44.38 45.25 46.73 48.94 50.09 51.30 51.91 52.53 53.19 52.66 51.43 50.21 49.04 47.20 45.97 44.26 41.67 39.76 37.65 35.90 35.08 35.30 35.36 35.04 35.00 35.01 35.48 36.37 36.82 36.82 36.37 35.04 33.75 33.33 32.98 32.41 31.87 30.92 29.53 29.33 29.07 28.44 28.67 29.02 29.47 29.61 31.00 32.47 33.44 35.78 37.46 37.86 38.85 39.62 40.39 41.40 41.65 41.40 41.40 41.65 41.16 41.47 40.71 38.97 39.32 38.95 38.04 38.04 37.16 36.18 36.63 37.01 36.84 36.18 35.48 35.43 35.43 35.40 35.36 34.77 34.22 34.26 33.13 31.58 31.68 30.17 28.33 28.14 27.70 26.62 25.50 24.67 24.17 24.40 24.56 24.78 26.09 27.04 27.04 26.87 27.74 27.62 27.04 27.51 26.93 25.89 25.89 24.87 23.15 21.87 20.50 19.27 18.19 16.88 15.47 15.02 15.21 15.57 16.21 17.77 18.86 20.11 22.31 24.61 26.84 27.59 29.11 29.87 29.11 29.11 28.14 27.04 25.44 22.67 20.07 18.30 16.59 15.21 15.09 16.64 18.87 20.34 22.42 24.16 25.34 25.95 26.54 26.52 25.93 24.76 22.40 20.70 19.08 16.44 14.01 12.26 +16.75 17.00 16.51 15.56 14.73 14.39 14.26 13.76 12.92 12.09 11.70 11.44 10.82 10.29 9.88 10.17 10.62 11.26 12.02 12.15 13.24 13.71 13.45 14.25 15.57 15.06 13.74 13.74 13.74 13.24 11.93 10.82 10.02 8.70 7.12 5.80 4.49 3.58 3.00 2.12 1.67 1.86 2.95 3.54 4.17 4.86 5.03 5.27 6.07 6.87 6.87 6.87 8.01 7.93 8.33 10.00 10.00 9.59 10.03 10.42 10.42 12.15 12.61 12.61 12.61 12.61 14.26 14.26 14.26 14.26 14.64 14.59 15.00 15.42 15.02 15.86 15.09 15.37 16.88 16.34 16.41 17.16 17.25 18.28 18.87 19.00 19.88 20.88 22.00 23.21 24.05 25.01 25.58 26.68 27.50 27.51 27.99 28.64 28.64 28.64 28.77 28.29 27.95 27.95 27.34 26.41 25.50 25.01 24.59 23.35 22.18 21.45 20.62 20.62 20.32 19.52 18.98 18.19 17.95 17.13 16.34 16.41 15.87 15.02 15.02 14.49 13.74 13.44 13.76 14.17 13.91 13.74 14.24 14.91 15.72 17.72 20.07 21.34 22.67 25.44 26.31 26.65 27.59 27.59 27.80 27.47 26.39 24.53 23.21 21.12 18.49 16.64 13.24 9.32 6.35 3.17 0.59 1.67 3.77 6.59 8.76 9.88 11.58 13.44 14.73 14.45 15.02 15.60 16.08 18.03 18.03 17.34 18.03 18.73 20.88 21.80 22.00 23.53 24.53 26.35 28.73 31.14 32.24 34.49 37.27 37.27 38.91 40.07 39.95 40.31 39.48 38.66 38.66 37.83 36.18 33.71 32.06 29.94 25.69 23.57 22.28 19.69 17.58 15.09 12.15 10.42 9.59 7.19 5.27 4.49 2.95 2.95 3.73 4.71 5.30 7.10 9.01 10.44 11.93 13.24 14.55 16.87 18.98 20.29 22.67 24.27 25.87 27.99 29.82 32.24 32.54 32.54 33.67 33.99 33.99 33.99 32.86 31.43 31.14 29.53 27.94 26.35 23.21 21.67 20.14 17.16 15.72 15.60 14.84 12.98 11.79 11.21 10.67 10.67 10.67 10.75 11.44 11.44 10.75 10.67 11.21 11.21 11.21 11.20 10.61 11.21 11.92 12.02 10.75 10.29 11.93 11.93 11.38 11.61 12.39 12.13 11.44 11.79 12.15 11.26 10.42 10.49 10.14 9.81 10.02 8.98 8.01 7.75 7.68 7.07 5.80 6.26 7.10 8.19 9.72 11.79 14.25 16.08 18.61 22.58 26.09 29.66 32.83 36.55 39.73 41.80 43.88 45.52 46.97 47.14 48.09 48.17 47.04 47.38 46.34 44.85 43.61 41.99 40.69 39.59 38.95 38.85 39.02 38.75 38.41 38.24 38.91 39.60 39.48 39.39 39.48 39.48 39.48 40.07 40.21 39.55 39.41 39.83 39.80 39.80 40.39 41.18 41.77 42.45 43.59 44.51 46.10 48.32 49.53 50.17 50.84 50.95 51.67 51.67 50.37 49.72 49.08 47.20 45.38 43.05 40.35 38.37 36.18 34.59 33.77 33.18 33.23 33.37 33.33 33.77 34.71 35.16 35.16 35.16 34.65 33.75 33.33 32.92 32.22 31.72 31.23 30.85 30.05 29.45 29.30 29.47 29.17 29.49 30.69 30.78 31.58 33.17 34.32 35.60 37.31 38.08 38.85 39.62 40.62 41.65 41.40 41.16 41.94 41.70 40.49 41.59 41.18 39.51 39.34 39.02 38.87 38.73 37.79 37.01 37.01 36.25 36.70 37.20 36.55 36.55 36.54 36.54 36.55 35.99 34.89 34.95 35.08 33.63 33.05 32.16 30.37 29.11 28.48 27.94 27.13 26.78 26.67 26.41 25.99 26.10 26.63 27.25 27.39 27.60 28.44 27.87 27.16 26.93 26.35 25.89 25.31 23.72 22.18 21.45 20.50 18.98 17.92 16.68 15.42 15.02 15.21 15.02 15.15 17.13 18.87 20.25 22.44 24.61 26.84 27.80 28.78 29.33 29.11 29.11 27.59 25.91 24.87 22.67 20.07 17.72 15.47 14.73 15.56 17.18 18.73 20.25 22.42 24.76 25.93 26.52 26.54 25.95 25.34 24.16 22.42 20.76 18.03 14.91 12.92 11.79 +16.75 16.51 15.56 15.09 15.09 14.73 13.81 13.33 12.92 12.09 11.32 10.82 10.54 10.62 10.29 10.17 11.20 11.92 12.02 12.87 14.01 14.24 14.49 14.25 15.37 15.37 13.74 14.06 13.91 13.08 11.93 10.62 10.14 8.50 6.87 6.07 4.49 3.00 2.36 1.86 1.67 1.86 3.00 3.00 3.73 4.49 4.49 5.27 6.07 6.87 6.87 6.87 7.19 7.55 8.37 9.59 9.59 8.84 10.14 11.32 10.42 11.26 12.15 12.61 12.61 12.61 13.91 14.39 14.73 14.64 15.02 15.02 15.42 16.26 15.47 15.92 16.38 16.51 17.49 17.40 17.95 18.63 18.73 19.00 19.45 20.66 22.09 23.15 23.67 24.07 24.51 25.17 25.69 26.78 27.92 27.94 27.55 28.53 29.46 29.11 28.77 28.44 27.95 27.95 27.47 26.87 26.41 25.06 23.75 23.33 22.95 22.18 21.81 21.74 20.92 20.11 19.52 18.72 18.19 17.92 18.20 18.19 17.13 16.60 16.60 15.87 14.87 14.26 14.64 15.00 15.21 15.06 14.78 14.91 15.72 17.72 20.07 21.34 22.67 25.44 26.87 27.77 28.14 27.80 28.24 27.47 27.25 26.15 23.75 21.90 19.27 17.41 14.24 10.29 7.45 4.86 1.86 1.32 3.17 4.86 7.86 9.72 10.29 12.72 14.45 14.34 15.02 14.92 15.42 17.92 18.50 17.83 18.50 19.30 20.88 22.36 22.36 23.86 25.61 26.88 28.73 31.14 33.05 34.98 37.10 37.92 39.39 40.55 40.55 40.55 40.07 38.77 38.77 38.30 35.83 33.84 32.54 30.41 26.65 24.04 23.10 20.16 17.33 15.69 13.44 11.26 10.00 7.93 5.07 3.77 2.95 1.77 2.43 4.12 4.71 6.01 8.01 9.88 11.93 12.69 14.24 16.60 18.20 19.81 21.93 24.05 25.67 27.30 29.26 31.72 31.87 32.36 33.99 33.99 33.99 33.99 32.36 30.73 30.73 29.11 27.49 25.87 22.67 21.08 19.51 16.41 14.91 14.01 13.76 13.02 11.79 11.20 10.02 9.45 10.09 10.17 10.17 10.67 10.67 10.67 11.21 11.20 10.61 11.21 10.62 10.67 12.02 12.02 11.44 11.01 11.93 11.93 12.15 11.86 12.13 13.24 12.26 12.15 12.53 11.70 11.67 11.32 10.14 10.14 10.14 8.99 8.44 7.45 6.72 6.01 4.75 4.75 5.00 5.27 7.10 10.09 12.60 14.45 17.16 20.69 24.84 28.24 30.64 34.36 38.30 40.93 42.57 44.00 45.47 46.40 46.79 46.31 45.77 46.01 45.03 43.62 43.03 41.45 39.64 39.02 38.57 37.76 37.70 38.01 38.41 37.92 37.48 38.30 38.66 38.56 38.66 38.66 38.66 38.77 39.06 39.23 39.41 39.55 39.27 39.02 39.39 40.07 40.31 41.61 43.42 43.86 45.47 48.32 49.55 50.21 50.95 51.09 51.17 51.09 50.43 49.19 48.49 47.20 45.39 42.43 39.05 37.10 35.61 34.04 32.97 32.36 32.30 32.94 33.33 33.37 33.50 33.50 33.50 33.50 33.37 33.33 32.92 31.71 31.01 31.05 30.33 29.78 30.10 30.20 29.73 29.94 30.14 30.06 30.73 31.43 32.36 33.44 35.22 36.35 37.10 38.41 39.39 39.85 40.87 41.40 41.16 41.16 41.70 41.25 40.28 40.83 40.44 39.34 39.02 38.87 38.73 38.37 38.08 38.01 37.94 37.20 37.14 37.72 37.71 37.72 37.75 37.79 37.83 37.94 37.42 36.33 35.94 35.48 34.45 33.75 32.98 31.19 30.05 29.53 28.77 28.44 28.33 28.44 28.29 27.99 27.67 28.01 28.35 28.51 28.58 27.44 27.30 27.74 27.16 26.01 24.87 23.31 22.36 21.80 20.14 17.92 16.88 16.18 15.83 15.09 13.74 13.60 14.34 15.92 18.42 19.88 21.87 24.61 27.04 28.24 28.48 28.48 28.48 28.24 27.04 25.34 23.88 21.61 19.48 17.77 15.66 14.26 15.37 17.18 18.73 21.34 23.64 25.34 25.95 26.54 26.52 25.93 24.76 23.57 22.42 19.67 16.44 14.01 12.13 10.49 +16.30 15.56 15.09 14.64 14.26 14.26 13.33 12.09 11.70 11.32 10.62 10.54 10.29 10.29 10.09 9.45 10.67 12.02 12.15 13.24 14.24 14.24 15.29 15.06 15.37 15.37 14.06 14.73 14.26 12.61 11.79 10.96 10.14 8.50 6.87 6.07 4.49 3.00 2.36 1.86 1.67 1.86 3.00 3.58 4.17 4.29 4.49 5.27 6.07 6.37 6.26 6.67 7.10 8.01 8.01 8.76 9.17 8.33 9.59 11.32 11.32 10.87 11.32 12.61 12.61 12.61 13.44 14.26 15.09 15.09 15.09 15.47 15.86 16.69 16.67 16.30 17.21 17.81 18.49 18.72 19.51 20.14 20.16 20.34 21.29 22.98 23.10 23.35 23.88 24.42 24.53 25.07 26.31 26.87 27.11 27.94 28.38 28.44 28.64 28.77 28.44 28.11 27.95 27.62 27.13 26.52 25.69 24.76 23.78 23.33 22.92 22.56 22.64 21.92 20.76 19.94 19.81 19.81 19.00 18.45 18.20 17.92 17.40 16.88 16.60 16.68 16.38 15.92 15.92 15.42 15.21 15.57 16.09 16.21 16.30 17.72 20.07 21.34 22.67 25.44 27.04 27.95 28.70 28.90 29.11 27.80 27.47 26.93 24.84 23.21 20.04 17.95 15.87 11.74 8.58 6.35 3.17 0.00 2.36 4.12 6.59 9.15 9.59 11.33 13.76 14.25 15.42 15.37 15.37 17.25 18.42 18.42 18.61 19.44 20.88 22.36 22.36 23.86 26.39 27.67 28.73 31.14 33.55 35.17 36.79 38.73 39.88 40.37 40.86 40.86 40.86 39.55 39.39 38.91 35.96 34.18 32.88 30.41 27.47 24.87 23.22 20.43 17.49 16.51 14.73 11.79 10.14 8.50 5.56 3.77 3.33 1.67 0.59 2.43 3.73 5.27 6.87 8.19 10.82 12.13 13.74 15.87 17.99 19.94 20.76 23.37 25.50 27.13 29.59 30.90 31.38 32.54 33.71 33.71 33.36 33.50 32.69 30.90 30.08 28.93 27.30 25.37 22.67 21.08 19.51 16.41 14.91 13.44 12.60 12.50 11.21 11.20 11.21 10.17 10.17 10.09 9.45 9.43 9.43 9.43 10.02 11.21 10.62 10.67 10.67 10.67 12.02 12.02 12.02 12.15 12.49 12.15 12.65 12.13 12.13 13.74 13.24 13.08 12.61 12.15 12.53 11.70 10.42 10.42 10.49 9.32 8.50 7.38 6.90 6.01 4.71 3.73 3.33 3.73 5.30 8.33 11.44 13.44 16.41 19.27 23.21 27.16 29.02 32.43 36.63 38.77 40.49 42.69 43.80 44.72 45.49 44.88 44.38 44.76 43.27 41.26 41.26 40.28 38.48 38.04 38.21 37.76 37.42 36.99 36.79 37.10 37.01 37.01 37.01 37.27 37.83 37.83 37.83 37.61 37.43 37.60 37.50 37.68 38.48 38.77 38.77 39.02 38.87 40.22 42.69 43.16 44.21 47.20 48.45 49.72 51.02 51.75 51.25 50.00 50.00 48.75 46.92 45.03 43.70 41.84 39.05 36.52 34.32 32.50 31.65 31.55 31.01 31.25 31.67 31.71 31.84 31.84 31.84 31.84 31.71 31.67 31.68 31.39 30.29 29.92 30.31 29.02 28.14 29.15 29.36 29.02 30.05 30.69 30.78 31.58 33.17 34.16 35.78 37.27 37.46 38.63 39.62 40.39 41.16 41.16 40.93 41.47 41.47 40.49 40.28 40.07 39.69 38.61 38.30 38.73 38.37 38.08 38.01 37.94 37.79 37.72 37.71 37.72 38.32 38.37 38.46 39.05 38.52 38.08 38.75 38.37 37.45 37.45 36.59 35.40 35.04 34.04 33.21 32.74 31.72 30.18 29.17 29.73 29.82 29.42 29.53 29.80 29.33 28.90 28.90 28.33 28.73 28.58 27.44 26.31 24.61 22.92 22.36 21.45 19.51 17.69 16.68 15.69 14.59 14.06 13.71 14.17 14.92 15.92 18.03 19.44 20.88 23.86 26.93 28.48 28.48 28.24 28.56 28.35 26.84 25.34 23.88 20.92 18.87 17.25 15.87 15.47 16.88 18.49 20.16 22.52 24.19 25.34 26.52 27.13 26.52 25.93 25.34 24.19 21.87 18.61 16.21 14.49 12.61 10.83 +15.02 15.09 14.64 14.19 14.26 13.36 12.15 11.70 11.70 11.44 10.82 10.29 9.72 9.45 9.43 9.45 10.29 11.18 12.15 13.45 13.74 13.74 15.37 15.37 15.37 15.69 14.73 14.73 14.06 13.24 12.26 10.96 10.14 8.50 6.87 6.07 4.49 3.00 2.36 1.86 1.67 1.86 3.00 3.73 3.73 3.73 4.49 5.27 6.07 6.07 6.07 6.87 7.68 8.01 7.10 8.33 9.59 8.37 8.76 10.42 11.32 11.32 10.87 12.15 12.98 12.53 12.98 14.26 15.09 15.09 15.09 15.92 15.92 16.75 17.96 17.50 17.96 19.33 19.61 19.52 20.56 21.36 21.80 21.73 22.67 23.10 22.39 23.05 23.35 24.45 25.39 25.83 26.17 26.52 26.72 27.09 27.94 28.44 28.64 28.77 28.93 28.93 28.44 27.80 27.13 26.65 25.83 25.22 24.67 23.75 23.33 22.95 22.18 21.81 21.92 21.92 21.74 20.92 19.94 19.52 19.00 18.49 17.69 17.18 17.40 16.68 15.92 15.92 15.47 15.02 15.21 15.57 16.09 16.77 17.45 18.30 20.07 21.34 22.67 25.44 27.77 28.14 28.35 29.11 29.11 28.56 28.24 26.93 25.61 24.53 21.12 18.49 16.64 12.69 9.75 7.12 4.29 1.86 0.59 2.43 5.03 7.29 8.86 10.67 12.60 13.08 14.25 14.78 15.37 16.67 17.25 18.50 19.18 19.88 21.29 22.58 23.31 24.42 26.93 28.48 29.52 31.37 33.77 35.67 36.79 39.23 40.04 40.04 40.86 40.86 40.86 40.37 39.88 39.06 36.94 34.81 33.18 31.05 28.44 25.50 23.05 20.92 18.30 17.00 15.37 12.13 10.54 9.22 6.87 4.60 3.33 1.67 0.00 1.67 3.33 4.60 6.37 7.68 10.14 11.79 13.44 15.09 17.21 19.80 20.28 22.40 25.34 26.99 29.11 30.41 31.58 33.13 33.13 33.23 32.88 32.88 32.88 31.24 29.59 28.77 27.13 24.36 22.44 20.83 18.98 16.41 14.91 13.44 12.02 12.02 10.67 10.02 10.62 10.09 9.45 9.43 9.43 9.43 9.43 9.43 9.43 10.67 10.67 10.67 10.75 10.17 11.44 12.15 11.74 11.93 12.69 12.69 13.46 12.92 12.65 13.74 13.74 13.74 13.24 13.08 12.61 12.15 11.26 11.26 11.32 9.32 8.50 7.68 6.87 5.80 4.75 3.73 3.33 3.73 4.71 6.59 9.88 12.69 15.56 17.95 21.90 26.09 27.94 31.36 35.32 36.68 38.30 40.93 41.59 42.68 44.03 43.59 42.64 43.01 42.10 39.50 38.91 38.52 37.33 36.35 36.55 37.22 36.89 36.18 36.29 36.94 36.65 36.18 36.54 36.44 36.18 36.18 35.83 35.63 35.79 35.98 36.12 36.10 36.38 36.77 37.65 38.87 38.73 39.43 41.40 42.46 43.61 46.10 47.38 48.68 50.09 50.86 50.86 49.60 49.02 48.44 46.50 44.51 42.57 40.07 37.79 35.17 32.87 30.97 29.53 29.42 29.73 30.00 30.00 30.05 30.18 30.18 30.18 30.18 30.05 30.00 30.01 30.18 29.74 28.80 29.26 29.45 28.33 28.31 29.09 29.49 30.08 30.73 31.43 32.36 33.44 34.49 35.60 36.55 37.53 38.77 39.02 39.55 40.62 40.93 40.71 41.47 41.25 40.28 40.07 39.69 39.51 37.88 37.59 38.03 37.01 37.42 37.94 37.79 37.72 37.72 38.32 38.37 39.05 39.76 39.92 41.08 41.17 40.22 40.22 39.76 38.87 39.02 38.77 37.46 36.77 36.38 35.32 34.36 33.50 32.41 31.25 30.56 30.18 30.08 30.33 30.83 30.58 30.10 30.01 29.81 29.07 27.60 26.31 25.17 24.22 23.31 22.00 20.35 18.72 17.49 16.51 15.09 13.81 13.74 14.24 14.73 15.37 16.59 18.03 19.44 21.06 23.75 26.09 27.94 28.48 27.47 27.80 28.35 26.84 25.17 24.16 21.34 18.87 17.45 16.34 16.26 17.40 18.83 20.72 23.17 24.78 25.93 27.11 27.11 26.52 25.93 25.34 23.64 20.83 18.15 15.87 13.74 11.67 10.49 +15.02 15.09 15.02 15.02 14.19 12.53 12.15 12.53 11.79 10.82 10.29 9.88 10.17 10.62 10.02 10.09 11.01 11.38 12.65 13.74 13.74 13.74 15.37 15.69 15.21 16.03 15.21 14.39 13.91 13.44 12.61 10.96 10.14 8.50 6.87 6.07 4.49 3.00 2.36 1.86 1.67 1.86 2.43 2.95 3.33 3.77 4.75 5.27 5.56 5.89 6.37 6.87 7.19 7.10 7.10 8.37 9.59 8.33 8.33 10.00 10.42 11.70 11.26 11.67 12.92 12.15 12.61 14.26 15.09 15.09 15.09 15.92 16.30 16.69 18.35 19.17 18.79 20.07 20.98 20.92 21.87 23.21 23.31 22.75 23.58 23.25 23.64 24.17 24.34 25.19 25.34 25.85 26.39 26.65 27.16 27.92 28.35 28.44 28.64 28.77 28.93 28.93 28.93 29.11 28.44 27.62 27.13 26.87 26.41 25.45 24.59 23.75 23.39 23.01 22.28 21.92 21.58 20.76 20.28 20.11 19.81 19.61 19.12 18.80 18.49 17.33 16.75 16.30 15.42 15.02 15.21 15.57 16.09 16.77 18.03 19.48 20.63 21.87 23.25 25.44 28.33 29.26 28.90 29.11 29.11 29.33 29.02 27.16 26.09 24.78 21.90 19.27 17.41 14.24 11.07 7.66 5.03 3.17 0.59 1.32 3.73 5.34 7.10 9.59 11.33 12.43 13.60 14.15 15.37 16.67 16.67 17.92 19.08 20.34 21.73 22.44 24.04 25.17 26.93 28.48 30.05 31.62 34.28 36.18 36.99 39.41 40.23 40.54 40.86 40.86 40.86 40.86 40.04 39.23 37.60 35.17 33.86 32.04 29.11 25.87 23.75 21.93 19.00 17.40 16.08 12.65 10.54 10.02 8.19 5.27 3.73 2.43 0.59 1.67 3.33 3.77 5.56 8.01 10.03 11.32 13.44 15.09 16.75 18.87 20.16 22.18 25.06 26.72 27.99 30.10 31.77 33.05 32.30 32.41 33.23 32.77 32.41 31.24 29.59 28.77 27.13 23.86 22.24 20.32 18.19 16.41 14.91 13.44 12.02 12.02 10.67 9.43 9.43 9.43 9.43 9.43 9.43 9.43 9.43 9.43 9.43 10.67 10.67 10.67 11.44 10.29 10.44 11.93 11.93 11.93 12.69 12.69 13.46 13.71 13.45 13.74 13.74 14.06 13.91 13.44 12.98 12.53 11.70 11.70 11.32 9.66 8.76 7.50 6.67 6.26 4.75 2.36 1.67 2.43 4.17 5.80 8.19 11.62 14.25 16.08 20.32 24.27 26.62 29.78 33.47 35.06 36.68 39.62 39.52 40.25 41.77 41.87 41.49 41.17 40.87 38.90 37.79 37.50 36.75 35.05 34.14 34.59 34.79 34.87 35.30 35.63 35.48 35.36 35.25 34.89 34.53 34.53 34.32 33.99 34.17 34.36 35.05 35.06 34.59 35.04 36.18 37.45 37.79 38.67 40.77 42.43 43.64 45.62 46.34 47.67 49.81 49.92 49.92 49.35 48.07 48.07 46.01 44.00 42.04 38.91 36.55 33.92 32.16 30.01 27.94 27.62 27.99 28.33 28.75 29.66 30.18 30.18 30.18 30.18 30.05 30.00 29.61 28.99 28.80 27.94 27.47 28.33 28.58 28.67 28.97 30.05 30.69 30.78 31.58 33.17 34.32 34.85 35.79 36.77 37.76 39.07 39.62 39.85 40.09 39.85 40.39 40.93 40.49 40.28 39.32 38.95 39.34 37.59 37.33 37.79 36.25 36.70 37.79 37.71 38.32 38.37 39.05 39.76 39.92 40.59 40.69 41.27 41.95 41.61 41.61 41.16 40.31 40.07 40.44 40.28 39.31 38.48 37.16 35.67 34.81 34.89 34.61 33.37 32.22 32.06 32.24 31.89 31.62 31.36 30.64 30.01 28.90 27.59 26.09 24.78 24.22 22.98 21.36 19.51 17.69 17.00 16.38 15.00 13.91 13.45 13.24 13.76 15.33 16.67 18.03 19.59 21.45 23.99 25.31 27.16 28.48 26.93 26.93 27.47 26.09 24.87 23.93 21.83 19.53 17.73 16.88 16.67 17.40 19.19 21.73 24.42 26.03 27.13 27.70 27.11 27.11 26.52 25.37 23.69 21.73 19.38 16.60 14.26 12.61 11.79 +15.02 15.09 15.02 14.59 13.36 12.61 12.53 11.79 10.82 10.29 9.88 9.72 10.17 11.20 10.67 10.29 11.18 12.15 13.45 13.74 13.74 14.06 15.21 16.03 15.56 15.92 15.09 14.26 14.64 13.36 12.15 10.96 10.14 8.50 6.87 6.07 4.49 3.00 2.36 1.77 0.83 1.77 2.36 3.00 3.73 4.49 5.27 5.27 5.27 5.56 6.26 6.67 6.67 7.10 8.01 8.01 8.76 8.76 8.37 9.59 10.00 11.67 11.67 11.26 12.15 12.15 12.92 13.76 14.64 15.09 15.09 15.92 17.13 17.09 18.33 20.00 20.02 20.52 21.81 23.22 23.75 24.25 24.30 24.78 25.44 25.00 25.45 25.34 25.40 25.58 25.44 25.73 26.35 26.80 27.24 27.94 28.35 28.44 28.64 28.77 28.93 28.93 28.93 29.11 28.61 27.80 27.13 26.52 26.05 25.89 25.45 25.00 24.62 23.35 22.18 21.92 21.92 21.92 21.92 21.58 20.92 20.43 20.28 19.94 18.63 17.68 17.58 17.09 16.67 16.30 15.69 15.57 16.09 16.59 17.34 19.48 21.21 22.46 24.04 25.17 27.39 29.26 29.81 30.01 29.66 29.87 30.10 28.24 26.93 25.61 22.98 20.35 18.49 15.87 12.49 9.32 6.35 3.95 1.67 1.67 3.58 4.75 6.48 8.92 10.03 11.79 13.55 14.14 15.37 16.59 17.13 18.35 19.08 19.88 21.29 22.18 23.86 25.39 26.93 28.48 30.05 31.62 34.80 36.40 37.50 39.41 39.92 41.23 41.23 41.54 41.35 40.86 40.04 38.91 37.80 35.67 34.36 32.74 29.53 26.62 24.78 22.67 19.76 17.92 16.60 13.71 11.07 10.54 8.98 6.01 4.71 4.12 2.43 1.77 2.95 3.77 5.07 7.93 10.00 10.42 13.36 15.02 16.30 18.41 20.45 22.52 24.62 26.72 27.55 30.05 31.32 32.22 31.84 31.84 33.50 32.30 31.94 31.47 28.99 28.29 26.80 24.05 22.44 20.03 17.66 15.87 14.91 13.44 12.02 12.02 10.67 9.43 9.43 9.43 9.43 9.45 10.09 10.67 10.67 10.62 10.02 10.62 11.21 11.26 12.02 11.44 11.01 11.74 12.15 12.87 13.24 12.69 13.46 14.49 14.25 13.74 13.74 14.55 14.87 13.91 13.44 12.26 11.93 12.26 10.96 10.14 9.66 7.93 6.67 6.26 4.75 2.43 0.59 0.59 3.17 6.07 7.68 10.62 13.24 15.37 19.12 22.24 25.37 27.99 31.14 33.21 34.28 37.53 38.21 38.57 39.51 39.59 39.76 39.33 39.05 37.71 36.65 35.67 34.79 33.75 32.83 32.73 33.21 33.55 33.18 33.50 33.84 33.71 33.59 33.71 33.71 33.71 33.99 33.67 33.05 32.74 33.47 33.81 33.59 34.29 35.30 36.06 37.01 37.94 39.50 41.26 43.16 45.25 45.34 46.70 49.47 49.60 49.03 49.03 47.74 47.04 45.54 43.50 41.52 38.37 35.36 32.02 30.17 29.26 27.94 27.13 26.72 26.67 27.11 28.07 28.53 28.53 28.53 28.53 28.38 28.33 27.99 27.47 27.70 27.70 26.84 26.87 27.62 28.38 28.29 29.49 30.78 31.00 31.45 32.62 34.29 35.04 35.79 37.53 37.76 38.30 39.62 40.39 40.39 39.85 40.09 39.62 39.73 40.07 39.13 38.21 38.45 37.45 36.52 37.42 37.20 37.14 37.71 37.75 38.37 38.46 38.67 40.01 40.69 40.80 41.49 42.06 42.18 42.45 43.16 43.47 43.24 42.49 42.14 41.80 40.62 39.80 39.27 38.30 37.27 36.90 36.31 35.42 35.09 34.89 33.99 32.74 31.89 31.62 31.36 30.64 29.33 28.24 27.47 26.15 24.07 21.90 21.08 20.32 18.63 16.85 15.47 14.64 13.74 12.69 12.15 13.02 15.37 16.67 18.15 19.94 21.67 23.75 25.07 26.63 27.94 26.93 26.70 27.04 25.17 24.16 23.25 21.22 19.59 18.08 17.49 17.92 19.00 21.06 23.46 25.00 26.62 27.75 28.31 28.34 28.34 27.16 26.03 24.42 21.87 19.27 17.49 15.83 14.25 12.26 +15.02 14.64 13.76 12.92 12.61 12.61 11.79 10.82 10.29 9.88 9.72 9.59 9.43 10.17 10.87 11.01 11.38 12.65 13.74 13.74 14.06 14.73 15.09 15.92 15.92 15.92 15.47 14.19 14.64 13.44 12.15 11.26 9.59 8.37 6.72 5.56 4.49 3.17 1.86 1.77 1.67 1.77 1.86 3.17 3.73 3.95 5.07 5.07 5.07 5.56 6.07 6.87 6.87 7.68 8.01 7.55 8.37 9.20 8.37 8.76 10.00 11.67 11.67 10.42 11.70 12.53 12.98 13.44 14.26 15.09 15.09 15.92 17.96 17.92 18.33 20.42 21.29 21.35 22.75 25.01 25.17 25.07 26.09 26.48 26.47 26.46 26.68 27.13 27.13 27.34 27.16 26.65 26.39 26.17 26.52 26.72 27.09 27.99 28.64 28.77 29.26 29.42 28.30 27.49 27.49 27.49 27.13 26.65 25.69 25.06 25.06 24.59 23.75 23.75 24.22 23.93 23.10 22.28 21.92 21.92 21.58 20.76 20.28 19.80 18.87 18.04 17.58 17.92 17.92 17.21 17.00 16.88 16.64 17.16 17.92 18.89 20.63 22.58 24.87 25.91 26.65 28.51 30.01 30.42 30.10 29.56 30.10 29.11 27.80 26.70 24.07 21.67 19.27 16.41 13.60 11.18 8.21 5.27 3.33 1.77 2.43 3.73 6.01 8.84 9.43 10.02 11.79 13.55 15.37 15.95 16.51 18.42 19.18 19.88 21.29 22.58 24.61 26.09 27.59 29.33 30.58 31.62 34.80 36.40 38.01 39.62 39.62 41.23 41.23 42.04 42.35 41.04 39.92 38.81 38.01 36.69 34.57 32.69 30.31 27.67 25.56 23.46 20.82 18.73 17.18 15.10 12.49 11.18 9.72 7.10 5.30 4.71 3.73 2.95 2.95 4.49 5.27 7.19 9.59 10.42 13.36 14.59 15.42 18.35 20.85 22.12 24.22 26.72 27.55 29.66 30.93 31.77 31.77 31.77 33.05 31.84 31.47 31.58 29.11 27.81 25.83 23.86 21.93 20.03 17.66 15.10 14.91 13.44 12.02 12.02 10.67 9.43 9.43 9.45 10.09 10.17 10.17 10.67 10.67 11.21 11.21 11.21 11.80 11.84 12.43 13.02 13.02 13.08 12.60 13.44 14.35 13.24 13.46 15.02 15.02 14.24 14.49 14.77 15.29 15.02 14.49 12.65 12.13 13.24 11.44 10.14 10.14 8.50 6.87 6.07 4.49 3.17 1.32 0.59 2.64 5.00 7.55 10.03 12.15 14.73 18.15 20.76 23.86 26.98 29.31 31.37 32.15 34.28 36.22 36.90 37.65 37.88 37.45 37.01 36.70 35.36 34.22 33.77 33.05 32.80 32.83 32.19 31.65 32.24 32.36 32.20 32.20 32.06 31.94 32.06 32.06 32.06 32.36 32.24 31.94 31.65 31.65 32.28 32.62 32.62 33.75 34.68 35.67 37.20 38.90 40.18 42.17 44.76 45.43 46.34 48.59 49.31 48.59 48.74 47.60 45.45 44.49 43.11 40.59 37.35 34.20 30.73 28.31 27.39 26.35 25.83 25.89 25.83 26.33 26.87 26.87 26.87 26.87 26.87 26.72 26.25 25.58 25.50 26.10 27.04 27.04 26.73 27.34 28.29 28.29 28.97 30.42 31.32 32.30 33.36 34.29 35.24 35.67 37.45 37.45 37.45 39.02 39.55 39.85 40.39 40.39 38.85 38.63 38.77 38.95 37.88 37.45 37.79 36.25 36.07 36.58 36.54 36.55 37.20 37.88 38.67 38.95 39.64 40.80 41.16 42.59 44.30 44.60 44.93 45.49 45.10 44.91 44.76 44.21 43.33 42.72 42.16 41.67 41.23 40.21 38.66 37.20 36.67 36.75 36.44 35.36 33.99 32.74 31.89 31.62 30.83 29.26 27.94 27.16 26.09 24.51 22.67 20.83 19.30 18.04 16.69 15.00 13.91 13.71 13.60 13.29 13.57 14.92 15.72 17.89 20.14 21.67 23.21 24.78 26.09 26.93 27.25 26.48 26.09 24.87 23.93 23.10 21.21 19.18 18.73 18.98 19.62 21.12 23.11 24.73 26.25 27.85 28.38 28.93 29.52 29.02 27.92 26.75 24.62 22.18 19.76 18.15 16.75 15.87 12.94 +14.59 13.76 12.92 12.15 11.79 11.44 10.82 10.29 9.88 9.72 9.59 9.45 10.09 10.29 10.44 11.18 12.15 13.45 13.74 13.74 14.87 15.56 15.09 15.92 15.92 15.92 15.92 14.64 14.19 13.36 12.53 11.32 9.32 8.50 6.87 5.56 4.60 2.95 1.86 1.18 0.83 1.18 1.86 2.95 3.33 3.77 5.07 5.07 5.07 5.89 6.37 6.87 6.87 7.19 7.10 7.93 8.37 8.76 8.76 8.37 9.59 11.67 11.67 10.00 11.67 12.09 12.15 13.44 14.64 15.02 15.02 16.26 18.33 18.33 18.75 21.29 21.73 22.18 24.40 25.83 25.99 27.19 28.20 27.47 27.59 28.17 28.09 28.38 28.28 27.80 26.93 26.87 26.70 26.39 26.65 27.16 27.92 28.38 28.99 29.59 29.26 29.11 29.31 29.11 29.11 29.11 28.44 27.62 26.65 25.89 25.89 25.45 25.00 25.01 24.62 23.84 23.01 22.18 21.92 21.92 21.45 20.62 20.28 19.69 19.24 19.24 18.79 18.35 17.96 17.33 17.00 17.40 17.73 17.73 18.42 18.87 20.07 22.67 25.44 26.87 27.04 28.14 29.87 30.64 30.64 30.10 29.56 28.78 28.24 26.93 24.84 22.98 20.35 16.97 14.35 12.69 9.52 6.90 5.27 2.50 1.67 2.95 4.29 7.07 8.84 9.43 10.02 11.80 14.25 14.78 15.37 17.92 19.08 20.34 21.73 22.44 24.61 26.09 27.59 29.87 31.41 32.43 35.05 36.64 38.23 39.83 40.13 41.23 41.23 41.74 42.76 41.67 40.35 39.32 38.01 37.20 34.80 32.41 31.10 28.20 25.61 24.84 22.21 19.38 18.08 16.21 13.44 12.02 10.75 8.33 5.92 4.71 3.73 3.33 3.73 4.75 5.59 7.12 8.99 10.96 12.98 14.19 15.47 17.96 20.42 21.67 24.17 26.67 27.09 28.78 30.88 31.32 31.77 31.77 32.22 31.84 30.65 30.76 29.59 27.95 25.50 23.86 21.42 19.52 17.41 14.91 14.91 13.44 12.02 11.92 11.20 10.67 10.67 10.17 10.29 10.87 10.75 10.67 10.67 11.26 11.84 11.80 12.39 12.39 12.39 13.02 13.02 13.67 13.76 14.01 14.91 14.35 14.01 14.78 15.10 15.10 15.56 15.02 15.02 15.02 15.02 13.71 12.65 13.45 12.39 11.07 10.54 8.98 7.45 6.90 5.03 3.73 2.36 1.86 3.00 4.49 7.19 9.59 11.26 13.81 17.21 19.80 22.40 25.50 27.49 29.53 31.10 32.15 33.75 34.36 35.04 35.61 35.60 35.26 34.36 33.61 32.43 32.02 31.45 31.12 31.31 30.87 30.33 30.12 29.92 29.74 30.08 30.41 29.94 29.59 29.59 29.26 29.11 29.82 30.33 30.31 30.64 30.97 31.50 31.58 32.36 33.26 33.67 35.36 37.79 39.76 41.17 43.11 45.19 46.31 47.35 47.92 47.92 48.09 47.19 45.02 43.16 41.87 39.64 36.77 34.20 30.73 27.74 26.09 24.78 23.70 23.39 23.75 24.76 25.22 25.22 25.22 25.22 25.22 25.06 24.62 24.40 24.68 24.78 25.34 26.15 26.35 27.16 28.28 28.90 29.67 30.62 31.58 32.62 33.54 34.49 35.67 35.90 37.45 37.70 37.42 38.48 38.21 38.48 39.55 39.85 38.85 37.86 37.46 37.83 36.75 35.60 36.52 35.60 34.85 35.40 35.36 35.43 36.77 38.17 38.95 39.18 40.02 42.02 43.06 43.80 45.49 46.40 46.77 47.89 48.08 47.38 46.83 46.29 45.65 45.07 44.54 44.07 43.66 42.49 40.90 40.14 39.59 38.37 37.20 36.44 35.83 34.81 33.05 31.89 30.85 29.53 27.94 26.35 25.03 23.75 22.24 19.94 17.81 16.30 15.42 14.64 13.74 13.24 13.29 13.02 13.60 15.02 15.87 17.52 19.81 21.36 22.68 24.53 25.61 25.93 27.04 26.84 25.17 24.16 23.25 22.42 21.87 20.32 19.52 19.69 20.52 22.67 25.17 26.87 28.20 29.17 30.26 31.43 31.43 29.75 28.67 27.62 25.58 23.31 21.12 19.24 17.81 18.08 16.08 +13.33 13.33 12.98 12.26 11.44 10.82 10.54 10.62 10.29 9.59 9.45 9.45 10.17 10.87 11.18 11.07 12.13 13.74 13.74 14.06 15.21 16.03 15.56 15.92 16.30 15.86 15.47 15.09 14.26 13.44 12.61 10.96 9.66 8.37 6.72 5.89 4.75 3.00 2.43 1.32 0.59 1.77 2.36 3.00 3.73 4.49 4.75 5.07 5.07 5.43 6.67 6.67 6.67 6.67 7.10 8.37 7.93 8.33 9.59 8.84 9.32 11.32 11.26 10.00 11.67 11.67 11.67 13.33 14.59 15.02 15.42 16.67 18.33 18.75 19.62 21.73 22.18 23.57 25.83 26.80 27.49 29.53 29.52 28.78 29.45 30.20 29.59 29.17 28.93 27.72 27.34 27.16 26.84 27.14 27.13 27.24 27.94 28.38 28.53 29.11 29.74 29.92 30.12 29.61 29.11 29.11 28.61 28.11 28.29 27.99 27.16 26.72 26.67 26.25 25.42 24.62 24.22 24.22 23.93 23.57 23.01 22.18 21.45 20.90 20.90 20.45 19.59 18.33 17.21 17.00 17.00 17.13 17.33 17.58 19.00 20.04 20.66 22.67 25.44 26.87 27.77 28.90 29.66 30.97 31.19 30.64 30.10 29.02 28.48 26.93 25.39 24.07 21.45 18.08 15.66 14.01 10.62 8.21 6.59 4.25 1.86 2.12 3.17 5.30 7.07 8.84 9.43 10.62 13.02 14.15 15.37 17.25 18.50 19.88 21.29 22.18 23.86 25.39 26.93 29.02 30.87 33.21 35.05 36.64 38.23 39.55 40.87 41.67 41.67 41.95 42.25 41.44 40.64 39.83 38.23 37.16 35.58 32.94 31.36 28.78 25.93 25.39 23.31 19.94 18.63 17.33 14.01 12.02 11.44 9.59 7.07 6.01 5.03 3.77 3.73 4.71 6.01 7.45 8.98 10.82 12.26 14.26 15.92 17.58 20.07 21.73 23.78 26.25 26.67 28.33 30.42 30.44 31.32 31.77 31.77 31.39 30.18 29.82 29.11 27.62 25.37 24.27 21.87 19.51 17.18 14.91 14.73 13.76 13.02 12.37 11.92 12.02 12.02 11.44 10.44 11.01 12.02 12.02 12.02 12.02 12.43 12.39 12.98 13.55 12.98 13.02 13.02 13.67 14.34 15.02 15.72 15.72 15.72 15.87 15.47 15.87 16.09 15.10 15.87 15.56 14.78 14.55 14.01 13.46 12.69 11.93 11.18 9.88 8.01 7.45 6.01 4.71 3.73 2.95 2.95 5.03 7.12 8.50 10.42 13.33 16.26 18.41 21.45 24.04 25.50 27.49 29.53 31.10 31.90 32.50 33.18 33.02 33.75 34.10 32.60 31.84 31.25 30.26 29.02 28.33 28.51 28.24 27.94 27.70 27.49 27.62 27.95 27.95 27.95 27.95 27.95 27.80 27.49 27.70 27.67 27.70 28.35 28.51 29.15 30.05 31.00 32.49 33.00 34.20 36.70 39.33 40.80 41.74 44.03 46.23 46.96 47.14 47.53 46.77 45.66 44.93 43.06 40.88 38.48 35.67 33.08 29.49 26.35 24.61 23.46 22.88 22.56 22.52 22.28 21.92 22.40 23.22 23.57 23.10 22.12 22.12 22.75 22.74 23.53 24.61 25.31 26.03 26.52 27.13 28.44 29.94 30.87 32.06 32.62 32.83 34.36 35.90 36.14 37.17 37.95 38.21 38.48 37.68 37.68 38.21 38.48 37.99 36.77 36.35 36.71 35.61 33.75 34.68 34.36 34.20 35.36 35.43 35.67 36.52 37.79 38.60 39.74 41.37 42.86 44.16 44.91 46.22 47.53 47.73 48.28 49.24 49.68 49.68 49.36 48.77 48.23 47.45 46.19 44.97 44.29 43.84 43.08 41.70 40.00 38.37 37.20 36.54 35.83 34.66 33.05 31.43 29.92 28.30 26.68 24.56 22.24 20.76 19.69 17.96 15.83 14.64 13.57 12.69 12.15 12.43 12.98 13.67 15.02 16.59 17.73 19.51 21.08 21.61 23.46 24.53 24.84 25.93 26.09 24.87 23.93 23.05 22.42 22.19 21.45 20.92 21.29 22.28 24.25 26.28 28.17 29.59 31.10 32.75 33.33 32.26 30.62 30.05 29.15 27.39 24.78 22.06 20.00 19.30 19.94 17.92 +13.33 12.92 12.26 11.62 10.82 10.54 10.29 10.29 10.09 9.45 9.43 10.09 10.29 10.44 12.15 11.86 12.13 13.74 14.06 14.73 15.09 15.92 16.30 16.26 16.26 15.47 15.47 15.02 13.81 13.44 12.98 11.26 9.59 8.37 7.10 5.43 3.95 3.17 2.64 1.77 1.86 1.77 1.86 3.17 3.73 3.95 3.77 5.00 5.43 5.07 6.26 6.67 6.67 6.67 7.93 8.37 7.55 8.37 9.59 9.59 9.66 10.49 10.42 10.00 11.67 11.67 11.67 13.33 13.76 15.02 16.26 16.67 18.33 19.59 20.45 22.18 23.10 24.87 26.65 27.62 29.11 30.62 30.57 30.87 31.31 31.50 31.01 30.52 29.61 28.87 29.02 28.31 27.77 27.16 26.80 26.87 26.72 27.11 28.07 28.64 28.93 29.11 29.31 29.31 29.11 28.80 28.30 28.44 28.64 28.07 27.24 26.72 26.67 26.67 26.67 26.25 25.45 25.06 24.67 23.93 23.39 23.39 23.01 22.12 21.29 20.42 20.00 19.62 18.98 18.30 17.18 16.64 17.16 17.58 19.00 20.62 21.29 22.67 25.44 27.04 27.95 29.45 29.66 30.64 31.41 30.64 30.64 30.10 29.02 26.93 25.61 24.53 21.67 18.83 17.18 14.78 11.38 9.75 7.38 5.27 3.44 1.86 2.12 4.17 6.01 8.27 9.43 10.02 11.80 13.02 14.25 16.08 18.03 19.44 20.88 22.36 23.67 25.53 27.59 29.33 30.58 32.94 34.79 36.89 38.48 39.27 40.87 41.39 41.91 42.98 42.47 41.67 40.59 40.32 39.00 36.89 36.10 33.75 31.41 29.33 26.70 25.39 23.86 20.88 19.44 18.87 15.72 12.60 12.02 10.67 8.33 7.29 6.15 5.07 4.75 4.75 6.01 7.45 8.98 10.54 12.13 14.06 15.56 17.58 19.62 21.68 23.35 25.42 26.67 27.92 29.61 30.05 30.49 31.77 31.77 30.56 29.82 29.11 28.77 26.80 24.56 24.27 21.61 19.59 17.89 15.72 14.92 14.15 14.14 13.02 12.02 12.02 12.02 12.15 11.93 11.74 12.02 12.02 12.02 12.02 13.08 13.67 13.60 14.14 14.14 14.14 14.14 14.78 14.84 15.42 16.67 16.67 16.76 17.01 16.59 16.77 16.77 15.47 16.41 16.41 14.91 14.91 14.91 14.35 13.24 11.93 11.18 10.44 9.01 8.33 7.07 6.01 5.03 4.17 4.49 5.92 7.45 7.66 9.81 12.98 15.42 17.09 20.07 23.10 24.04 25.50 27.49 29.53 30.05 30.64 31.31 30.76 31.16 31.45 30.33 29.49 29.47 28.44 27.16 26.87 26.65 26.39 26.35 26.10 26.17 26.31 26.31 26.31 26.31 26.31 25.99 25.87 25.87 25.83 25.61 25.39 26.09 26.87 27.74 28.58 28.97 30.64 31.84 33.08 35.67 38.37 40.59 41.60 43.24 45.47 46.22 46.97 47.73 46.42 44.55 44.00 42.49 39.51 36.59 33.75 31.00 27.13 23.69 21.87 20.82 20.76 21.29 21.25 20.52 20.28 20.92 21.74 21.92 21.35 20.42 20.42 21.10 21.08 21.25 22.44 23.75 25.34 25.99 26.09 27.62 29.15 30.76 32.62 32.83 33.05 34.28 35.32 36.37 36.64 37.16 38.48 38.48 37.68 37.68 37.68 37.42 36.92 35.67 35.24 35.40 34.73 32.94 33.33 33.08 33.00 34.20 34.42 35.37 36.18 37.59 39.34 40.63 41.94 42.69 44.00 45.52 46.83 47.93 48.69 49.46 49.91 50.68 51.45 51.69 51.13 50.61 50.37 49.63 48.41 47.56 46.79 45.28 43.46 42.10 41.25 40.03 38.48 36.90 35.25 33.84 32.36 30.41 28.77 27.13 24.87 22.28 20.16 18.79 17.52 15.92 14.39 12.92 12.15 12.02 12.98 13.60 13.76 14.73 16.41 17.95 19.51 20.82 21.36 22.93 23.21 24.07 25.17 24.45 24.51 24.27 22.99 22.67 22.58 21.90 21.92 23.33 24.87 26.35 28.14 30.60 32.30 33.75 34.68 34.10 33.05 32.73 32.30 30.76 28.56 26.39 24.76 23.39 22.44 22.36 19.76 +12.92 11.79 10.82 10.54 10.54 10.29 9.88 10.09 10.02 9.43 9.45 10.29 10.62 10.29 12.13 12.43 12.26 13.44 14.26 15.09 15.47 16.26 16.67 16.26 15.47 15.47 16.26 15.00 13.33 13.33 12.92 11.32 9.32 8.50 7.68 5.56 3.77 3.33 2.12 1.32 1.32 0.59 1.67 3.33 3.33 3.33 3.33 5.00 6.26 5.07 5.43 6.67 6.67 7.10 8.37 7.93 7.93 8.37 8.76 10.00 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24.61 27.39 30.01 32.07 34.69 38.41 40.07 41.94 43.05 43.42 44.54 44.93 44.60 43.46 42.43 40.35 39.05 36.55 33.67 31.78 29.81 28.48 27.30 26.78 26.68 26.68 26.33 25.58 25.22 25.22 24.67 23.75 23.39 23.70 23.99 24.62 26.15 27.42 28.38 30.64 31.87 32.60 34.59 36.42 37.10 37.91 39.18 39.76 41.03 41.61 40.91 41.49 41.37 40.01 39.92 39.76 37.79 36.55 35.36 34.36 33.63 32.87 31.31 30.33 31.24 32.09 33.05 33.71 34.36 35.32 36.89 38.48 39.55 40.33 41.12 41.64 42.18 42.85 43.64 44.19 44.63 45.00 45.46 46.93 47.97 48.54 49.63 50.14 50.61 51.69 52.08 52.00 52.38 51.48 50.88 50.86 50.00 49.19 48.45 47.74 46.57 45.51 43.93 42.34 41.49 40.16 38.21 36.90 36.22 35.06 32.69 30.92 29.42 27.13 26.52 25.58 23.01 21.29 18.75 16.67 15.42 13.36 11.26 8.33 5.43 2.43 2.12 3.73 6.01 9.43 12.43 13.60 16.67 19.00 21.34 24.34 26.03 28.44 30.26 32.02 34.36 35.48 35.40 35.96 36.54 35.40 33.92 33.17 32.06 30.64 29.11 28.38 28.53 30.05 32.87 36.70 40.07 32.06 +7.45 13.74 14.06 13.91 14.64 14.59 13.33 13.33 13.33 13.76 13.81 14.26 14.64 13.76 13.33 13.33 14.59 14.64 13.44 14.26 14.26 14.26 14.73 14.06 13.74 13.45 13.71 13.46 12.69 12.69 12.69 11.93 10.44 9.72 9.72 9.72 9.01 7.10 6.59 6.01 4.12 3.58 2.43 0.59 0.00 1.32 2.43 3.00 4.49 6.07 6.07 6.87 8.50 8.50 9.32 10.14 10.96 11.79 11.79 12.15 12.92 13.33 13.33 13.33 14.59 15.02 15.42 17.09 17.96 19.24 20.07 21.73 23.84 25.58 26.87 29.73 31.77 33.88 36.82 38.48 40.52 41.30 42.53 42.53 41.70 40.87 40.03 40.03 38.37 35.04 31.71 28.38 25.06 21.35 18.15 15.37 12.65 9.88 8.27 8.33 8.98 10.14 11.26 11.67 12.50 14.17 15.00 15.42 16.75 17.96 18.41 18.87 20.07 21.35 21.73 21.68 22.12 22.95 23.39 23.86 24.27 24.25 24.62 25.34 26.01 26.17 26.54 27.11 27.16 27.92 28.20 28.58 28.17 28.51 29.11 28.24 28.48 28.48 28.48 27.94 27.67 27.94 27.14 26.88 27.94 26.93 26.93 26.93 25.39 25.39 25.17 24.78 25.17 24.87 24.04 24.04 22.67 21.34 21.34 21.29 20.63 19.45 18.87 18.35 16.76 15.72 15.30 14.35 12.92 11.44 10.14 8.76 8.50 8.76 8.33 8.33 10.29 10.82 11.79 14.59 17.09 18.41 20.28 23.86 25.87 26.62 29.26 30.05 31.65 33.50 33.59 35.04 36.71 36.35 36.18 36.18 36.59 36.88 36.06 35.94 35.17 33.92 33.26 32.54 31.32 30.69 30.05 28.34 27.75 26.68 24.62 24.04 23.15 21.80 20.35 18.72 17.49 16.51 15.47 14.64 13.44 12.43 12.15 11.74 11.33 10.02 10.29 10.62 10.54 11.79 11.67 11.44 12.15 13.44 14.34 15.37 16.50 16.67 17.45 17.73 18.49 20.29 21.12 21.58 22.28 23.10 23.39 23.78 24.62 25.42 25.85 25.45 25.06 25.50 26.05 25.83 25.50 25.67 26.35 26.39 26.15 26.84 27.21 27.60 27.44 27.74 28.67 28.67 28.67 28.67 29.09 29.02 29.61 30.14 29.02 29.61 30.73 29.67 29.75 30.33 29.26 28.67 28.78 28.44 28.01 28.33 28.70 27.80 26.88 27.14 26.62 25.99 26.31 25.83 24.67 23.75 23.33 23.33 22.95 22.18 21.58 20.62 19.52 18.98 17.95 17.16 15.72 14.34 14.15 12.98 11.79 11.33 9.72 8.21 8.19 8.01 6.67 5.56 5.27 5.03 4.75 4.71 4.71 4.75 5.43 6.01 6.01 6.59 7.29 8.33 8.33 8.33 9.43 10.62 11.80 13.02 14.25 15.42 17.92 19.76 20.92 22.77 25.31 27.87 30.60 32.62 34.32 38.04 40.47 42.33 43.47 43.88 45.02 45.45 45.07 44.08 43.27 41.90 41.25 39.55 37.01 34.89 33.59 32.41 31.72 31.39 30.44 30.01 30.05 30.10 29.73 28.90 28.38 27.92 27.16 26.65 26.90 27.70 28.90 30.05 31.00 33.08 34.77 35.40 36.02 37.83 39.76 39.83 40.42 41.67 42.25 43.42 43.42 42.83 42.69 42.57 41.94 41.29 40.07 38.93 37.94 36.52 35.30 35.40 35.36 34.17 33.96 34.17 34.33 35.00 35.98 37.16 38.48 39.55 40.62 41.40 41.65 41.37 41.64 41.95 41.67 41.37 41.80 42.50 42.53 43.08 43.84 44.79 46.19 46.66 46.39 47.05 47.89 47.92 48.59 48.89 49.02 49.26 49.08 48.35 47.14 47.20 46.79 45.83 44.85 43.46 42.33 40.99 39.73 37.99 36.89 36.12 34.57 32.54 30.56 28.64 27.24 26.33 23.39 22.12 20.00 17.13 15.92 12.98 10.42 8.33 5.00 1.67 1.32 3.73 6.01 9.15 11.74 13.44 16.59 19.02 21.29 23.15 25.01 27.30 29.02 31.45 33.75 34.10 33.92 34.42 34.36 33.05 31.84 30.92 29.15 27.59 26.39 25.89 25.69 26.93 30.05 34.22 38.34 29.73 +8.44 14.55 14.73 14.64 15.02 15.02 13.76 13.33 13.76 14.64 14.26 13.81 13.76 13.33 13.33 13.33 13.76 13.81 13.44 14.26 14.26 13.91 13.74 13.71 14.24 13.46 13.24 13.79 13.04 13.04 13.04 12.15 11.44 10.29 9.72 9.72 9.01 7.75 7.29 6.01 4.71 4.71 4.12 2.36 0.59 0.83 1.67 2.50 3.77 5.56 6.37 6.72 8.01 8.50 9.32 10.14 10.96 11.79 12.15 12.92 13.33 13.33 13.33 13.33 15.00 15.42 15.47 17.58 17.96 18.75 20.42 22.12 24.22 25.89 26.72 29.21 31.71 34.21 36.70 38.37 40.03 40.44 42.09 42.50 41.25 40.84 40.42 39.59 37.94 35.04 31.71 28.38 25.45 22.09 18.33 15.00 12.92 10.14 7.66 7.29 6.48 6.15 6.87 8.37 10.14 11.32 12.09 13.44 14.87 15.56 16.38 17.33 18.15 18.98 19.69 20.02 20.42 21.25 21.73 22.24 22.67 23.21 23.86 24.61 25.77 26.58 26.52 27.16 27.34 27.62 28.58 28.90 28.51 28.90 29.87 29.33 29.02 28.48 28.73 28.46 27.94 27.67 27.41 26.88 26.88 26.63 26.63 26.39 25.39 25.17 24.78 24.61 24.45 24.16 24.04 23.93 23.17 21.93 21.29 21.22 21.21 20.63 19.53 19.00 18.03 17.01 15.87 14.91 14.24 12.94 11.62 10.49 9.66 9.22 8.21 8.27 9.72 10.29 10.82 13.44 15.83 17.13 18.87 21.92 23.86 25.37 27.70 28.20 30.58 32.19 32.28 33.38 35.04 35.22 35.78 35.78 34.89 35.16 35.48 35.26 35.17 34.50 33.13 33.08 32.46 31.24 30.06 28.90 27.75 26.68 25.09 24.04 23.15 22.36 21.45 19.76 18.49 17.49 16.75 15.83 14.17 13.08 12.65 12.15 11.18 10.29 10.61 9.59 8.98 10.14 10.00 8.99 10.07 11.58 12.43 14.14 15.37 15.72 17.16 18.28 18.72 19.52 20.11 20.62 21.73 23.01 23.39 23.75 24.59 25.00 25.01 25.06 25.06 25.06 25.22 25.50 25.50 25.37 25.56 26.39 26.70 26.65 26.47 26.87 27.30 27.74 28.67 28.67 28.67 28.58 29.02 29.02 29.02 30.14 29.67 29.67 30.78 30.33 29.84 30.42 30.52 30.05 29.73 30.03 30.20 29.45 29.66 30.10 29.26 28.73 29.02 28.44 27.95 27.95 27.24 26.28 25.42 25.00 24.59 23.78 23.10 22.40 21.74 20.62 19.00 17.95 16.41 14.91 14.34 12.50 10.67 10.03 8.33 7.29 7.12 6.72 5.43 4.75 5.03 4.75 4.71 4.75 5.43 5.59 5.80 6.90 7.45 7.45 7.45 8.44 9.01 9.01 10.09 11.26 12.39 13.55 14.73 15.92 17.72 20.11 21.34 22.58 25.00 28.09 31.32 33.05 34.79 38.03 40.59 42.31 43.91 44.96 46.12 46.50 46.20 46.10 44.82 43.62 43.75 42.92 41.16 38.77 37.70 37.20 35.83 35.16 35.04 34.59 34.21 34.26 33.81 32.98 32.11 31.27 30.56 30.41 30.92 31.36 32.24 32.87 33.75 35.67 37.79 38.91 38.91 40.07 42.49 42.49 42.49 43.75 43.75 44.34 45.51 45.47 44.21 44.79 44.78 43.64 43.16 42.25 41.37 40.02 38.57 38.30 38.21 37.43 36.82 36.67 36.82 37.61 38.91 40.07 40.59 40.87 40.62 40.39 40.62 40.59 40.59 40.07 39.23 38.91 38.56 38.33 38.77 39.31 39.73 40.54 41.67 42.18 42.02 42.49 44.03 44.88 45.65 45.92 46.79 47.20 47.14 47.20 46.10 46.34 46.70 45.77 44.88 44.93 43.80 41.80 41.16 40.06 38.23 36.69 35.98 33.99 32.06 30.18 27.99 26.72 23.78 22.92 21.25 17.96 15.47 12.53 10.03 7.93 5.00 1.67 1.67 4.60 6.37 8.50 11.44 13.74 16.08 18.72 20.56 21.61 24.78 26.93 27.80 30.42 32.28 31.87 32.06 32.87 32.47 31.00 29.61 27.70 25.58 24.45 23.46 23.01 23.70 25.39 28.67 32.41 36.70 28.20 +9.15 16.18 15.56 15.47 15.42 15.00 14.17 13.76 14.64 14.64 13.76 13.33 13.33 13.33 13.33 12.92 12.98 13.44 13.44 13.91 13.74 13.71 13.46 13.46 14.01 13.79 13.04 13.60 13.44 13.29 13.87 12.60 12.02 11.33 10.67 10.75 9.59 8.33 8.33 7.10 5.30 4.75 4.29 3.00 1.86 1.86 1.77 2.12 3.33 4.60 6.37 6.87 7.68 8.50 9.32 10.49 10.87 11.70 12.53 12.98 13.44 13.44 13.81 13.76 15.00 16.26 16.30 17.13 17.52 18.79 20.90 22.56 23.78 25.42 26.67 29.59 31.68 33.75 36.67 37.92 39.60 40.03 41.70 42.13 40.52 40.97 40.97 38.93 37.37 35.36 32.06 29.11 26.52 22.75 18.98 15.56 13.44 11.32 8.33 7.19 5.80 4.75 5.34 6.90 8.44 8.99 10.14 11.62 12.13 12.94 14.55 15.87 16.68 17.00 17.33 18.41 19.59 20.00 20.07 20.62 21.08 21.67 22.36 23.01 24.27 25.93 26.54 27.27 28.09 28.31 29.15 30.03 29.81 29.66 29.87 30.10 29.80 28.73 29.26 28.73 27.94 27.14 27.14 27.14 26.09 26.63 26.63 25.61 25.17 24.78 24.61 24.45 24.16 24.04 24.04 23.25 23.10 23.05 21.81 21.21 21.22 21.29 20.76 19.67 18.73 18.15 17.16 16.41 15.56 14.49 13.74 13.08 11.67 10.14 8.99 9.15 9.43 9.72 10.29 12.43 14.26 15.83 17.96 20.52 21.92 23.86 25.87 26.62 29.26 30.05 30.87 31.96 32.83 33.73 34.85 35.22 34.16 33.88 34.32 34.10 34.59 34.42 33.13 32.54 31.87 31.24 30.06 29.49 28.38 27.34 26.25 24.62 23.15 22.36 21.80 20.04 19.00 18.49 16.85 15.47 15.02 14.64 13.57 12.13 11.07 10.62 9.59 7.66 7.45 8.50 7.93 7.12 8.76 9.72 10.03 11.80 13.76 14.91 16.41 17.66 18.49 19.30 20.28 21.73 22.92 23.78 24.62 25.00 25.00 25.00 25.01 25.06 25.06 25.06 25.22 25.50 25.50 25.58 25.56 26.09 27.04 27.04 26.31 26.15 26.59 27.04 28.09 28.67 28.58 28.44 28.44 29.02 29.02 29.61 29.67 29.67 30.26 30.42 30.52 30.62 31.32 31.58 31.32 30.93 31.12 30.97 30.87 31.36 31.10 30.33 30.42 30.24 29.26 28.77 28.53 28.38 27.94 27.09 26.67 26.25 25.06 23.93 22.75 21.10 19.94 19.00 17.40 15.81 14.35 11.74 9.72 8.86 7.66 7.10 6.01 5.27 4.60 3.44 4.17 4.71 4.75 5.03 5.80 6.35 6.07 6.59 7.45 7.45 7.45 8.01 9.15 9.72 10.29 11.44 13.08 14.25 15.37 16.51 17.69 20.04 21.83 23.01 24.81 27.85 31.43 33.77 35.67 38.27 40.59 42.83 44.59 45.68 47.38 47.82 47.74 48.32 47.82 46.85 45.92 45.19 44.19 42.57 41.11 40.73 40.07 39.31 39.20 38.75 38.37 37.97 37.10 36.27 35.42 35.04 35.16 35.36 35.48 35.58 36.55 37.09 37.16 38.37 40.35 41.40 41.40 42.49 44.79 45.38 45.37 45.98 45.97 46.55 47.73 48.32 47.20 47.23 47.86 46.92 46.60 45.77 44.88 43.80 42.57 41.40 40.35 40.21 39.76 39.17 39.31 39.73 40.73 41.15 40.85 40.33 39.55 39.62 39.62 39.02 38.48 37.16 35.98 35.63 34.79 34.17 34.18 34.33 34.81 34.87 35.32 36.77 38.01 38.61 39.76 40.69 42.10 42.49 43.02 44.82 45.56 45.75 45.34 45.77 46.31 45.66 44.35 44.97 44.88 42.97 41.91 41.15 39.62 37.60 36.94 35.48 33.59 31.39 28.83 27.11 24.59 23.33 21.67 18.33 15.42 12.98 10.14 7.68 4.75 1.32 1.67 4.60 6.72 8.76 11.67 14.59 16.30 18.41 20.52 21.92 25.01 26.80 27.49 29.82 31.14 31.37 31.90 31.96 30.76 28.90 27.87 25.00 22.40 21.34 19.38 18.15 19.45 22.36 26.03 30.10 34.59 26.25 +9.22 17.21 16.30 16.26 16.26 15.02 14.19 14.64 14.64 13.76 13.33 13.33 13.33 13.33 12.92 12.15 12.61 13.08 13.24 13.45 12.92 13.46 13.46 13.46 13.24 13.60 13.44 13.29 13.87 13.18 13.76 13.67 13.02 12.39 11.80 11.92 10.67 9.45 8.92 7.75 5.92 5.43 5.03 3.00 1.86 1.32 0.59 1.67 3.33 3.77 5.56 6.87 7.68 8.50 9.32 10.96 10.96 11.79 12.61 12.61 13.44 13.44 14.26 14.64 15.42 16.26 16.30 17.13 17.92 19.59 20.85 22.09 23.33 25.00 26.67 29.59 31.68 33.34 36.27 37.14 38.86 40.14 41.42 41.50 40.31 40.78 40.90 38.91 37.27 35.63 32.36 29.92 27.49 23.47 20.56 17.40 14.25 12.13 10.02 8.50 6.67 5.27 5.43 5.92 5.92 6.15 7.45 8.76 9.52 11.18 12.69 14.24 15.29 15.87 16.68 17.33 17.96 18.33 18.41 19.30 20.56 21.67 22.18 22.77 24.19 25.34 26.58 27.92 28.67 29.47 29.73 30.76 31.12 30.76 30.64 30.58 30.05 29.52 29.78 28.73 28.48 27.94 27.67 26.88 25.85 26.63 26.39 25.39 24.42 24.22 24.22 23.31 23.15 23.01 23.46 22.67 21.93 22.46 21.81 21.21 20.63 20.11 20.76 20.34 19.44 19.44 18.63 17.73 16.64 15.81 15.06 14.06 12.98 12.09 11.32 10.54 9.72 9.43 10.29 12.15 13.45 14.39 16.69 19.18 20.16 22.40 24.19 25.17 27.19 28.20 30.05 30.58 30.64 32.28 33.18 33.92 33.44 33.17 33.75 33.05 32.84 33.26 33.19 32.49 31.84 31.24 30.06 29.52 29.02 27.92 26.84 25.89 24.45 22.92 22.36 21.12 19.52 19.00 18.30 17.21 16.30 15.00 13.36 11.79 10.31 8.98 8.01 7.29 7.07 6.90 5.43 5.27 7.29 8.86 9.45 10.29 12.49 14.24 15.81 17.18 18.63 20.28 21.35 21.68 22.09 23.33 24.59 25.00 25.00 25.00 25.01 25.06 25.06 25.06 25.22 25.50 25.17 25.03 24.78 24.53 25.34 26.31 26.87 26.87 27.16 26.93 26.84 27.34 27.85 28.44 28.50 29.02 29.09 29.67 29.67 29.75 30.42 30.62 31.32 31.45 31.45 31.16 31.50 31.68 31.31 31.19 31.36 31.62 31.62 31.14 30.73 30.73 30.56 30.41 29.82 28.83 28.38 27.94 27.09 26.67 26.25 25.06 23.39 21.73 20.16 18.63 17.00 15.37 13.45 11.33 10.29 8.76 7.17 6.48 4.71 3.73 3.33 2.43 2.95 4.17 5.03 5.27 5.56 6.59 6.87 6.87 7.45 7.66 8.44 8.98 9.52 10.44 10.44 11.01 12.60 13.76 15.42 16.59 17.77 20.07 22.42 24.19 25.93 27.72 30.08 33.63 36.65 39.00 41.32 43.70 45.47 46.58 48.33 48.91 48.94 49.67 49.92 49.50 48.19 47.76 47.53 46.43 45.10 44.62 44.67 43.91 43.37 43.34 42.93 42.10 41.25 40.42 39.59 38.81 38.48 38.30 38.10 38.48 39.62 40.44 40.47 41.16 43.01 44.00 44.00 45.03 46.69 47.82 48.35 48.35 48.41 49.00 49.59 50.21 49.72 49.26 49.92 49.02 48.19 48.02 47.76 46.22 44.88 44.54 44.16 43.50 42.33 41.67 41.80 41.72 41.54 40.93 40.59 40.06 39.27 39.07 38.30 36.92 35.85 34.53 33.05 32.36 31.84 31.67 31.27 30.65 30.73 31.37 32.19 33.18 34.32 35.48 36.33 37.35 39.50 40.68 40.73 42.76 44.27 44.49 44.88 45.49 46.22 46.29 44.88 44.82 45.33 44.54 43.27 42.04 40.86 38.91 37.48 36.54 34.79 31.84 29.73 28.38 25.42 23.33 21.67 18.75 16.30 13.44 10.14 7.68 4.49 1.86 2.36 4.49 6.87 9.32 12.15 15.02 16.69 18.75 21.25 22.95 25.06 26.72 27.99 30.18 30.76 31.72 31.87 30.73 29.61 27.94 26.39 22.92 21.03 19.48 15.72 14.25 14.73 18.15 22.98 27.92 32.47 23.69 +10.02 18.04 17.13 17.09 16.67 15.00 14.59 15.02 13.76 13.33 13.33 13.33 13.33 12.92 12.15 11.79 12.61 12.26 12.43 12.65 12.15 13.46 13.24 13.60 13.44 13.29 13.87 13.18 13.76 13.67 13.60 14.19 13.60 12.43 11.92 11.92 11.21 10.67 9.59 8.33 7.10 6.59 6.01 4.12 2.36 0.59 0.00 1.67 2.95 3.44 5.07 6.37 7.68 8.50 9.32 10.62 11.12 11.93 12.75 13.08 13.44 13.81 14.19 15.02 15.86 15.47 15.92 17.96 18.35 19.62 21.29 22.09 23.33 25.00 26.67 28.75 31.27 32.98 35.54 36.82 38.48 39.76 40.31 40.90 40.55 40.55 40.21 38.73 37.60 35.67 32.97 30.57 28.20 24.53 21.67 19.59 16.21 13.60 11.74 10.62 8.98 6.87 5.43 5.43 5.27 4.75 5.92 7.07 8.92 11.33 12.15 12.87 13.24 14.24 15.29 15.37 15.56 16.26 16.75 17.49 18.72 20.14 21.16 22.00 24.17 25.37 26.03 28.00 28.78 29.73 30.03 31.12 31.52 31.19 31.65 31.36 30.05 30.05 30.05 28.73 28.46 27.94 27.67 26.63 26.09 26.09 25.61 25.39 23.86 23.86 23.86 22.36 22.18 21.87 22.31 22.09 21.34 21.29 21.22 21.21 20.63 19.59 20.25 20.34 19.44 19.44 18.63 18.28 17.95 17.13 15.81 14.25 13.44 12.92 12.09 11.44 10.54 10.29 11.20 11.44 12.39 13.74 15.21 17.09 18.79 21.35 22.75 23.86 25.07 26.62 29.26 29.52 29.02 30.64 31.31 32.06 32.30 32.02 33.17 33.05 31.68 31.58 32.02 31.87 31.84 31.24 30.06 28.93 28.38 27.85 26.84 25.89 25.01 24.04 23.11 22.44 21.08 19.52 18.80 18.15 16.85 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51.60 51.75 51.34 51.44 51.20 50.45 49.78 50.13 49.24 47.99 47.45 46.91 46.10 45.28 44.59 43.85 43.26 42.49 41.54 41.15 40.07 39.00 38.23 36.68 35.06 34.00 32.69 31.23 30.24 28.90 28.33 28.38 28.29 27.99 28.20 29.11 30.03 30.74 32.75 34.30 34.79 37.17 39.11 39.33 41.03 42.59 43.47 44.72 45.52 46.19 46.67 45.86 45.34 45.39 45.17 44.47 43.31 41.85 40.07 38.66 37.27 35.16 32.22 30.49 29.21 26.28 23.75 21.67 19.59 16.69 13.36 10.49 7.68 5.03 3.17 3.73 5.43 7.12 9.22 12.94 15.37 17.33 19.69 21.73 23.39 25.06 27.11 28.75 30.83 31.25 32.11 32.15 30.56 29.82 28.77 26.17 22.93 21.25 18.03 13.60 12.15 12.15 15.72 21.22 26.35 30.60 21.21 +10.54 18.98 18.41 17.92 16.67 15.42 15.02 14.59 13.76 13.36 12.92 13.33 12.92 12.15 11.79 11.44 12.43 12.13 11.86 12.15 11.93 13.24 12.87 13.29 13.87 13.18 13.76 13.67 13.60 14.19 13.60 13.67 13.67 13.02 13.02 12.39 11.80 11.92 10.67 9.45 8.33 7.29 6.01 4.71 4.12 2.36 0.59 1.32 2.43 3.73 5.27 6.07 7.68 8.50 9.32 10.14 10.96 11.79 12.61 13.44 13.44 14.26 14.64 15.02 15.47 15.47 16.26 17.92 18.35 19.18 21.29 22.56 23.39 25.06 26.72 28.38 30.49 32.22 35.16 36.44 38.19 39.13 39.25 40.21 40.37 40.54 39.92 38.52 37.96 36.10 33.75 31.41 29.11 26.09 23.15 21.87 18.61 16.08 14.34 12.60 11.44 9.72 7.45 6.59 6.72 5.56 6.15 7.86 9.50 10.62 10.62 11.26 12.02 12.87 13.24 13.45 14.06 14.64 15.09 15.37 15.81 17.33 19.76 21.29 22.99 24.86 25.58 27.04 28.58 29.63 30.01 30.97 31.73 32.19 32.15 31.62 30.31 29.78 29.78 29.26 28.73 27.94 27.14 26.35 26.35 25.56 24.53 24.84 23.86 23.86 23.67 22.58 22.44 21.73 21.61 21.42 21.29 21.22 21.21 21.22 21.34 21.03 21.03 21.16 20.88 20.88 19.94 19.04 18.73 18.19 17.41 16.08 14.73 13.44 12.09 11.32 10.62 10.62 10.67 10.03 11.18 13.45 14.06 15.09 17.50 20.07 21.10 22.55 23.55 25.37 27.70 28.20 28.24 29.11 30.01 30.37 30.76 30.44 31.45 32.36 32.17 31.50 30.78 30.73 30.69 30.64 30.69 30.14 29.02 28.58 28.09 26.46 25.01 24.61 23.86 22.98 21.90 20.56 19.00 17.49 16.68 15.37 13.81 12.98 11.79 10.00 8.50 6.37 3.77 2.36 1.67 2.36 4.17 5.80 8.19 10.14 11.79 13.44 15.09 16.30 17.50 19.17 20.42 21.67 22.52 22.56 22.95 23.33 23.33 23.33 23.33 23.75 24.22 23.93 23.22 23.05 23.75 24.78 24.84 24.62 24.97 25.17 25.89 25.77 25.67 26.25 26.84 27.34 27.85 27.85 27.92 28.58 28.67 29.75 30.42 30.05 30.05 29.73 30.44 31.58 32.06 32.62 32.83 32.83 32.73 33.21 33.47 32.97 33.26 33.86 33.99 33.99 33.50 32.88 32.77 32.30 31.39 30.56 29.73 28.38 26.72 25.45 24.59 23.39 21.73 20.00 18.33 16.26 14.17 12.50 10.42 8.33 6.67 4.60 2.64 1.77 0.00 1.67 2.95 3.33 3.77 4.60 5.07 5.56 6.26 6.87 7.38 7.68 7.91 8.44 8.98 9.52 10.29 11.07 12.49 13.60 15.30 17.01 17.58 19.08 20.83 22.67 25.51 28.38 30.14 32.46 35.96 38.32 40.09 42.46 45.41 47.20 47.91 49.78 51.17 50.97 51.77 52.31 51.99 51.66 51.69 51.92 51.54 50.50 49.51 49.72 49.67 48.77 47.92 47.09 46.67 46.27 45.46 45.12 44.91 44.32 44.16 44.02 44.28 45.52 46.03 46.06 47.17 48.07 48.54 49.50 50.00 50.58 52.26 52.33 52.33 52.92 53.09 53.67 53.28 53.51 53.75 53.60 53.34 52.17 52.00 51.76 51.13 49.85 48.22 47.40 46.93 46.27 45.46 44.82 43.84 42.49 41.23 40.13 39.03 37.16 35.32 34.00 32.41 30.33 29.11 27.95 25.89 25.00 24.67 24.68 25.30 25.39 25.17 26.46 28.00 29.56 31.83 32.54 33.92 37.21 38.73 40.47 41.55 42.69 44.88 45.60 45.86 46.91 46.93 46.49 46.10 45.43 45.28 44.32 42.54 40.78 39.48 38.19 35.61 33.05 31.32 29.21 27.11 24.59 21.67 20.00 17.09 13.81 11.44 8.44 6.01 3.73 3.73 5.92 7.86 9.52 12.65 15.57 17.99 20.11 22.24 24.19 25.69 27.70 29.36 31.01 32.22 32.98 32.94 31.67 30.44 29.66 26.87 23.86 21.35 16.97 13.02 11.01 10.42 13.29 18.94 24.87 29.81 20.07 +10.82 20.07 19.59 18.33 16.67 16.26 15.02 14.19 14.64 13.44 12.15 12.92 12.09 11.32 11.44 11.12 11.93 11.62 11.07 11.38 11.93 12.49 12.15 12.60 13.76 13.67 13.60 14.15 14.14 14.78 14.25 13.60 14.15 14.14 14.15 13.02 11.92 12.02 10.67 10.09 9.59 8.33 7.10 5.34 4.29 3.00 1.77 0.59 1.67 2.95 5.07 5.89 7.19 8.50 9.32 10.14 10.96 11.79 12.61 13.44 13.44 14.26 15.09 15.09 15.09 15.92 16.75 17.58 18.41 19.24 20.90 22.18 23.47 25.12 26.41 28.53 30.18 31.84 34.79 35.36 37.27 39.06 39.06 39.23 39.92 40.13 39.55 38.21 37.70 36.68 34.14 32.43 30.20 27.30 24.62 23.46 20.34 17.25 16.08 14.34 12.60 11.44 9.72 8.01 8.44 8.01 6.72 8.19 9.22 9.52 9.72 10.67 11.79 11.92 12.15 12.15 12.13 12.26 13.36 14.87 15.81 16.77 18.50 20.63 22.42 24.34 25.77 26.73 28.33 29.81 30.76 31.19 31.41 32.97 33.21 32.15 31.10 30.05 29.53 29.53 28.73 27.94 27.14 26.35 26.35 25.56 23.99 23.75 23.53 23.53 22.36 21.87 22.44 21.61 21.42 21.29 21.22 21.21 21.22 21.29 20.92 21.03 21.03 20.72 20.88 21.06 21.25 20.35 19.27 18.49 17.95 17.40 16.51 15.69 14.26 12.50 11.32 10.54 10.29 10.09 10.67 12.69 13.45 14.06 15.47 18.35 19.69 21.10 22.55 24.36 25.87 26.35 26.93 27.80 28.90 29.26 29.63 29.30 29.73 30.05 31.00 31.43 30.73 30.73 30.08 29.47 29.49 29.52 29.02 27.92 27.42 27.16 26.31 25.17 23.67 22.55 21.67 21.08 20.56 19.00 17.40 16.08 14.73 13.57 12.13 10.14 8.33 6.72 5.27 2.95 0.83 0.83 3.33 5.83 7.50 9.17 10.83 12.92 15.00 16.67 17.96 18.79 20.02 21.29 22.12 23.01 23.39 23.33 23.33 23.33 23.33 23.33 23.39 23.57 23.37 22.74 22.44 23.21 23.86 23.86 24.04 24.16 24.62 25.77 26.35 26.25 26.09 26.03 26.62 27.27 27.34 27.34 27.42 28.67 29.94 30.05 30.17 30.03 30.60 31.16 31.31 32.28 32.83 33.05 33.21 33.73 34.53 34.28 33.55 33.67 33.99 33.99 33.99 33.71 33.23 32.41 31.84 31.47 30.65 29.73 28.90 27.61 25.50 23.93 23.10 21.35 18.87 16.85 15.09 13.44 11.44 8.99 6.87 5.56 4.25 2.12 1.67 1.77 2.12 2.95 3.33 3.33 3.77 4.60 5.00 5.56 6.37 6.87 7.38 8.19 9.22 10.02 10.54 10.54 11.38 12.49 13.79 16.03 17.58 18.61 19.88 21.73 24.51 27.34 29.67 32.02 34.89 37.79 39.59 41.40 44.34 46.79 48.17 49.50 50.86 51.32 52.31 52.94 53.11 52.85 52.44 52.20 51.84 52.14 51.99 51.77 51.77 51.29 50.43 49.60 48.75 48.36 48.01 47.23 47.03 46.92 46.79 46.66 46.39 47.05 47.89 47.92 48.59 49.47 50.05 51.66 52.70 52.70 53.67 53.67 53.76 54.44 54.66 55.82 55.48 55.17 55.46 55.20 54.98 54.42 53.73 53.01 52.70 51.97 50.84 49.53 48.59 47.96 46.67 45.12 44.08 43.02 41.18 39.41 37.80 36.18 34.28 32.41 30.33 28.30 26.98 25.22 23.75 22.92 21.92 21.12 21.36 22.75 23.58 24.51 25.99 27.11 29.67 31.78 32.02 34.89 37.65 40.07 41.25 42.72 45.07 45.34 45.62 47.00 47.60 47.41 47.23 46.25 46.10 45.14 43.37 41.60 39.48 38.66 36.54 33.96 32.22 29.66 27.55 25.45 22.09 20.00 17.92 14.64 11.79 8.50 5.80 3.58 3.73 5.30 7.75 10.44 12.69 15.81 17.92 19.76 22.67 25.07 26.68 28.30 30.24 31.72 33.23 33.96 33.50 33.05 31.71 30.42 27.92 25.06 21.92 16.88 12.49 9.43 7.93 10.75 16.67 23.31 29.11 19.00 +10.96 20.90 20.07 18.79 17.09 16.67 15.42 14.64 14.64 12.92 11.67 12.09 11.70 10.87 10.49 10.62 11.33 11.38 11.18 11.18 11.74 12.15 12.02 11.92 13.02 14.15 14.14 14.14 14.14 15.37 15.37 14.14 14.14 14.15 14.25 13.67 13.02 13.02 11.80 11.26 10.75 8.92 7.75 6.72 5.03 3.00 2.36 1.67 1.77 2.12 4.60 5.56 6.87 8.50 8.99 10.31 11.44 11.44 12.43 13.74 14.06 14.73 14.73 15.21 15.56 15.92 16.75 17.58 18.41 19.24 20.90 21.73 23.39 24.67 25.58 28.53 29.82 31.58 34.18 34.32 36.12 38.73 38.91 38.30 39.32 39.55 38.74 37.99 37.76 36.55 34.49 33.75 31.01 28.20 26.35 24.51 22.52 20.07 18.30 17.13 15.37 13.60 12.50 10.29 9.52 10.02 8.50 9.17 10.14 10.02 10.83 11.58 11.92 11.20 11.26 11.01 11.07 11.62 12.09 13.08 14.49 16.03 17.77 19.45 21.87 23.93 25.44 26.87 28.33 30.01 31.19 31.65 31.36 32.15 33.47 32.94 31.62 31.10 30.05 29.53 28.73 27.94 27.14 26.35 26.35 25.56 23.99 23.21 23.21 22.98 21.06 20.88 21.45 20.34 20.76 20.66 20.62 21.22 21.29 21.34 20.34 20.45 21.16 20.88 20.88 20.50 20.69 20.90 20.35 19.81 19.51 18.72 17.49 16.68 15.69 14.64 13.33 11.79 10.83 10.29 10.62 11.44 12.39 13.24 13.91 17.13 18.33 19.24 21.45 22.88 23.75 24.78 25.61 26.70 27.59 28.51 28.90 28.58 29.02 28.78 29.26 29.75 29.61 30.10 30.06 28.87 28.29 28.34 28.38 27.85 26.84 25.89 25.44 25.01 24.04 22.92 21.67 20.82 20.04 18.98 18.19 17.13 15.06 13.18 12.15 10.54 8.50 7.12 6.01 4.17 2.43 2.43 4.17 5.27 7.38 9.81 11.79 13.57 15.09 16.75 18.04 18.87 20.16 21.35 22.18 22.64 22.56 22.92 23.33 23.33 23.33 22.92 22.56 22.75 23.05 23.24 22.95 23.21 23.86 23.67 23.72 24.04 24.04 24.62 25.67 26.09 26.09 26.75 27.34 27.34 27.34 27.34 26.84 26.93 28.09 28.78 29.15 29.63 30.76 31.50 30.97 31.19 32.50 33.50 33.47 33.48 34.28 35.08 35.17 34.49 33.99 33.99 34.32 34.53 34.18 33.71 33.13 32.41 31.58 30.29 28.99 27.81 25.83 24.04 23.22 21.74 19.30 17.18 15.37 13.74 12.15 10.07 8.21 6.35 5.03 4.12 3.44 1.67 1.32 2.36 2.95 3.33 3.77 4.60 5.00 5.43 6.26 6.87 6.87 6.87 7.38 8.19 9.22 10.02 11.07 12.15 12.69 13.79 16.59 18.87 19.59 20.72 22.88 25.77 28.67 31.00 33.84 36.70 38.59 41.00 43.34 45.25 47.28 49.23 50.62 51.32 52.94 53.48 53.73 54.09 53.50 53.28 53.28 53.64 53.65 53.44 53.44 53.00 52.12 51.69 51.27 50.46 49.72 48.59 47.50 47.40 48.10 48.49 48.24 48.37 49.19 49.95 50.75 51.74 52.16 52.35 52.70 52.70 53.76 54.44 54.66 55.36 55.48 56.05 56.31 56.18 56.50 56.84 56.84 56.69 56.03 54.82 54.29 53.57 52.97 52.14 50.71 49.67 47.93 45.86 44.36 42.33 40.42 38.57 36.61 35.48 33.67 31.43 29.11 27.13 25.01 22.56 21.67 20.90 20.11 19.76 19.38 20.01 21.51 22.42 23.64 25.00 27.62 31.01 32.06 33.18 36.22 39.55 40.85 42.70 45.10 45.39 45.98 47.41 48.05 47.89 47.40 46.92 46.79 45.49 43.84 42.54 40.31 38.56 36.90 34.79 33.05 30.49 27.55 25.89 22.95 20.42 18.33 15.00 11.67 8.76 6.37 3.58 3.17 4.71 6.59 9.88 12.49 15.87 17.95 19.51 22.40 25.03 27.14 29.02 31.23 32.36 34.32 35.00 34.06 33.96 33.05 31.71 28.75 26.25 22.95 17.21 12.94 9.72 6.37 8.92 14.45 21.45 27.70 18.42 +10.96 20.90 20.07 19.62 17.92 16.67 16.26 15.02 13.76 12.09 11.70 11.70 11.32 10.96 10.14 9.50 10.07 11.18 11.01 11.44 12.02 11.92 12.43 12.39 12.39 12.98 13.55 14.14 14.14 15.33 15.92 14.73 14.14 14.78 14.84 14.15 14.15 13.60 12.43 11.92 11.44 9.72 8.01 7.45 6.01 4.12 2.95 1.32 0.59 1.67 3.77 5.07 6.72 8.01 8.50 10.14 11.44 11.12 12.26 13.44 14.26 14.73 14.39 15.21 16.03 16.38 16.75 17.21 18.50 19.69 20.52 21.81 23.47 23.93 25.22 28.17 29.11 30.90 33.50 33.99 35.30 37.60 38.01 37.96 39.00 39.02 38.30 38.08 37.86 35.96 34.32 34.16 31.90 29.26 28.09 25.51 23.60 22.42 20.04 18.87 17.72 15.37 14.25 13.18 11.58 11.38 10.82 10.87 11.26 10.96 12.13 12.15 11.18 10.29 10.67 10.67 10.62 10.54 10.03 10.49 11.86 13.87 16.51 18.28 20.83 23.46 25.44 27.04 28.14 30.10 31.11 31.90 32.15 31.89 32.97 32.69 31.89 31.65 30.33 29.53 28.73 27.94 27.42 26.10 25.83 25.56 23.99 23.21 22.98 22.55 20.88 20.72 21.16 19.67 19.59 19.48 19.45 20.04 20.11 20.76 20.34 20.01 20.72 21.06 21.80 21.80 20.90 20.90 20.90 20.58 20.04 18.98 17.40 16.08 15.37 14.73 13.81 12.92 11.44 10.07 10.09 10.03 11.18 12.13 13.08 16.30 17.09 17.92 19.69 20.92 22.15 23.19 24.25 25.07 25.73 27.39 27.77 27.44 27.74 28.09 28.67 28.58 28.38 28.90 29.49 28.87 28.34 28.38 28.38 27.92 27.51 26.46 25.44 25.01 24.61 24.04 22.21 21.12 20.14 18.49 17.95 17.18 15.10 13.24 12.49 11.38 9.75 8.44 7.07 5.34 4.75 4.75 5.34 6.01 7.86 9.88 11.86 13.45 14.55 16.18 17.81 19.45 20.28 20.62 21.45 21.81 22.18 22.95 23.33 23.33 23.33 22.95 22.18 21.92 22.24 22.44 22.67 23.21 23.86 24.04 24.30 24.73 24.62 24.04 25.00 26.03 25.58 26.25 27.34 27.34 27.42 28.09 28.09 27.04 27.74 29.15 29.63 29.81 30.37 31.31 31.73 31.41 31.90 33.21 33.47 33.26 34.06 34.87 35.48 35.79 35.63 35.63 35.48 35.00 34.32 33.36 32.41 32.06 31.72 30.56 28.77 27.62 26.98 25.50 23.55 21.87 20.56 18.98 16.34 14.24 13.44 11.58 9.72 7.75 5.34 5.43 5.03 2.43 2.12 2.95 2.36 2.95 3.95 4.75 5.00 5.00 5.00 5.56 6.07 6.07 6.37 6.87 7.38 8.19 9.22 10.54 12.15 12.69 13.79 16.59 18.63 20.32 21.87 23.58 26.35 28.67 31.58 35.08 37.01 39.43 42.43 44.38 45.77 47.74 49.88 50.51 51.43 52.56 53.08 54.04 54.56 54.67 54.75 55.15 54.94 53.88 53.44 53.44 53.00 52.12 51.29 50.50 49.79 49.15 48.44 47.89 48.10 49.02 49.30 49.46 49.94 50.69 51.48 51.89 52.74 53.63 54.08 54.08 54.66 55.36 55.48 55.61 56.31 56.89 56.60 56.50 56.84 57.21 57.24 57.67 57.57 56.40 55.88 54.89 53.78 53.44 52.09 50.17 48.45 46.67 44.63 42.57 41.05 39.02 36.65 34.32 32.06 30.08 27.47 25.22 23.47 21.67 20.02 18.98 18.72 18.49 19.02 19.30 20.07 21.29 22.67 24.04 26.15 29.81 32.07 33.05 35.85 39.27 41.15 42.54 44.47 45.60 46.25 47.40 48.23 48.57 47.61 47.14 47.14 45.84 44.08 43.16 41.42 38.48 36.82 35.16 33.50 31.39 27.99 25.89 23.39 20.90 18.79 15.42 11.67 9.59 7.19 3.73 2.12 4.12 5.92 9.15 11.74 15.10 17.95 19.27 21.90 24.78 27.14 29.53 31.94 33.05 34.98 35.79 35.63 35.36 33.96 33.05 30.05 27.09 23.33 18.35 14.87 10.62 5.80 7.75 13.29 20.35 26.09 16.76 +11.62 21.73 20.42 20.00 18.33 16.67 16.67 15.00 12.92 11.70 11.70 11.32 10.62 10.82 10.29 9.32 9.32 10.62 10.29 10.75 11.92 11.80 12.37 12.96 12.98 12.37 12.98 14.14 14.14 14.73 15.91 15.91 14.73 15.37 15.37 14.15 14.25 13.76 12.60 12.02 12.02 11.44 9.72 8.01 6.15 4.29 3.17 1.32 0.00 1.67 3.33 4.60 6.37 7.68 8.50 9.81 11.12 11.44 12.61 13.44 13.91 14.06 14.87 15.21 15.69 17.00 17.00 17.00 18.63 20.28 20.28 21.92 23.22 23.70 25.34 27.13 28.93 30.56 32.36 33.86 34.87 36.40 37.16 37.42 38.23 38.30 38.08 37.86 37.46 35.78 34.32 33.44 31.90 29.94 28.58 26.58 24.78 23.64 21.22 20.07 18.94 17.13 15.95 15.42 14.34 13.44 13.46 12.94 12.61 12.50 12.98 12.26 11.33 11.18 11.44 10.62 9.59 9.52 9.66 10.03 10.54 12.60 15.33 17.72 20.34 22.44 24.61 27.04 28.24 30.05 30.83 31.62 32.41 32.69 32.97 32.17 32.45 31.94 30.33 29.82 28.80 27.49 27.49 25.87 24.78 25.03 23.99 22.98 22.55 22.36 20.88 20.01 20.45 19.67 18.94 18.87 18.86 18.87 18.94 19.59 19.76 19.59 20.32 20.50 20.69 21.80 21.67 21.67 21.45 20.35 19.81 19.51 18.98 17.92 16.37 14.55 13.44 12.92 11.67 10.31 9.72 9.45 10.75 11.74 12.39 14.73 16.26 16.69 17.68 19.12 20.92 21.93 22.67 23.46 23.75 25.39 26.09 26.31 26.01 26.35 28.09 27.92 27.16 27.75 28.34 27.70 27.13 27.16 27.80 27.34 26.84 26.35 25.44 24.87 23.88 23.88 22.36 20.69 20.32 18.83 17.73 17.33 16.59 14.91 13.44 11.58 9.72 9.43 8.33 6.90 6.72 6.72 6.90 7.07 8.86 10.67 11.58 12.69 14.24 15.81 17.40 19.00 19.94 20.28 20.28 20.62 21.45 21.73 22.09 22.92 22.92 22.18 21.45 21.10 21.42 21.35 21.08 21.67 22.36 23.15 23.58 24.04 24.51 24.04 25.00 26.09 25.67 25.58 26.03 26.09 26.25 26.93 28.09 27.74 27.44 28.17 28.51 29.26 30.01 30.42 31.19 31.65 31.62 32.41 34.00 34.36 34.36 34.36 34.49 35.30 35.63 35.63 35.14 34.32 33.99 33.50 32.54 31.72 31.05 30.73 29.92 28.30 27.19 25.58 23.72 22.68 21.36 20.14 18.08 15.47 14.45 13.18 11.33 10.03 7.66 6.59 6.01 4.17 3.44 3.33 2.95 1.77 2.36 2.36 1.67 2.12 2.95 3.77 4.49 4.49 4.60 5.56 6.37 6.87 7.38 8.19 9.75 11.61 12.69 13.79 15.66 17.89 20.16 21.87 24.16 27.16 30.05 32.94 35.37 37.21 39.64 42.18 44.30 46.31 47.76 48.83 49.94 51.32 52.47 53.23 53.80 54.47 54.26 54.21 54.58 53.95 53.44 53.44 53.44 53.00 52.16 51.39 50.71 50.44 50.21 49.36 48.61 49.02 49.60 50.01 50.70 51.43 52.21 52.46 52.88 54.46 55.48 55.61 56.31 56.89 56.89 56.45 56.60 57.89 58.36 58.14 57.77 57.40 56.90 57.34 57.80 57.19 56.40 55.40 54.28 53.11 51.86 50.34 48.96 47.53 45.42 43.34 41.30 38.81 36.37 33.50 30.56 28.07 25.50 23.39 21.68 20.07 18.50 17.49 17.41 17.33 17.45 17.72 18.89 20.83 22.31 23.15 25.53 28.78 30.87 33.21 36.12 38.81 41.23 43.16 44.29 45.92 47.07 47.74 48.09 48.91 48.44 47.50 47.39 46.11 44.45 43.62 41.97 39.02 37.27 35.16 33.50 31.84 28.53 26.41 23.84 20.90 19.24 15.92 12.15 10.42 7.93 3.95 2.12 3.58 5.30 8.33 11.58 14.55 17.18 18.83 21.67 24.78 27.14 29.26 32.17 34.06 35.17 36.29 36.94 36.78 35.00 34.06 31.84 27.99 23.78 20.00 16.75 10.82 4.75 6.01 12.02 19.59 25.56 15.72 +12.13 23.10 21.73 20.42 18.33 16.67 16.26 14.64 12.61 12.15 11.70 10.49 9.81 10.02 9.52 9.15 9.72 10.29 10.09 10.67 11.26 11.20 11.79 12.37 13.55 13.02 13.02 14.14 14.14 14.14 14.73 15.91 15.91 15.95 15.37 14.78 14.92 14.34 13.76 12.60 12.15 11.74 10.44 9.15 7.45 5.03 3.73 2.43 0.59 1.67 3.33 3.77 5.56 7.68 8.50 9.32 10.96 11.44 12.43 13.74 13.74 13.74 15.37 15.37 15.37 17.00 17.00 17.00 18.63 20.28 20.28 21.58 22.55 23.86 25.50 25.99 28.61 30.42 31.43 33.26 34.28 35.32 36.37 36.63 36.68 37.53 37.86 37.46 37.09 36.02 35.16 33.75 32.36 31.00 29.02 27.16 25.99 24.78 22.98 22.40 21.22 19.45 17.72 16.67 15.72 14.73 15.10 15.02 14.55 14.26 13.76 12.92 12.61 12.13 11.38 10.29 9.43 9.15 8.50 8.37 9.22 11.44 14.14 16.67 19.44 21.62 23.86 26.93 28.48 30.05 31.10 31.37 32.17 32.97 32.97 32.74 32.54 31.43 30.62 30.42 29.11 27.49 27.19 26.10 24.78 24.27 23.19 21.90 21.67 21.45 20.32 19.44 19.44 18.61 17.77 17.69 18.27 18.30 18.42 19.08 19.44 19.94 20.50 20.50 20.14 20.69 20.90 20.90 21.25 20.90 20.58 20.04 19.51 18.98 17.66 16.08 14.73 13.44 12.15 11.32 10.54 9.72 10.03 11.01 11.38 12.94 15.09 15.00 16.30 18.04 19.45 20.62 21.08 22.68 22.98 23.86 24.78 25.17 24.87 24.62 26.35 26.75 26.03 26.62 27.13 27.11 26.52 25.99 26.62 26.68 26.09 25.00 24.04 24.04 23.01 22.44 22.02 21.06 20.72 19.02 17.33 17.16 17.01 15.72 14.34 12.43 10.03 10.09 9.72 8.98 8.50 8.33 8.50 8.01 10.09 11.79 12.50 13.44 14.91 16.41 17.41 18.19 19.00 19.94 20.28 20.28 20.28 20.52 21.29 21.68 21.29 20.98 21.45 21.58 21.12 21.08 21.08 21.67 22.36 23.15 23.46 23.35 23.93 24.04 25.00 25.58 25.67 26.09 26.09 26.25 26.35 26.46 27.62 27.87 27.77 28.33 28.14 28.90 29.66 30.10 30.87 31.36 31.89 32.45 33.26 33.55 33.55 33.86 33.99 33.99 33.99 33.99 33.99 33.99 33.99 33.99 33.50 32.36 31.23 30.42 29.82 29.02 27.94 26.39 24.30 22.98 21.80 20.16 18.87 17.45 15.50 14.25 13.02 11.79 10.03 8.27 7.10 6.01 5.03 3.95 3.77 1.67 1.67 1.67 0.59 1.77 1.86 1.67 2.43 3.17 3.33 3.77 4.60 5.56 6.07 6.07 6.87 8.70 10.62 11.38 12.69 14.91 17.16 19.59 22.18 25.01 27.74 30.17 33.17 35.60 37.45 39.44 41.60 44.03 45.66 47.53 49.24 50.14 51.13 52.45 53.06 53.47 53.78 53.75 53.75 53.57 53.44 53.05 52.22 51.77 51.77 51.45 50.80 50.44 50.69 50.84 50.14 49.54 50.14 50.77 51.45 52.17 52.94 53.75 53.75 54.59 55.61 55.88 56.45 56.89 57.02 57.17 56.75 57.06 57.97 58.32 58.51 58.35 58.11 58.34 58.28 57.98 57.72 56.72 54.97 53.28 51.99 50.91 49.88 48.06 45.51 42.93 40.42 37.92 35.42 32.92 30.42 27.92 25.42 22.92 20.45 18.63 17.49 16.60 16.21 16.30 16.54 17.10 18.35 20.45 22.18 22.55 25.07 27.94 30.31 33.26 35.98 38.41 40.86 43.31 44.13 45.77 47.40 48.57 48.44 48.79 48.79 48.32 48.22 46.11 44.45 43.62 41.97 39.48 37.83 35.71 33.59 31.58 29.11 26.99 24.52 21.92 19.33 16.03 13.08 10.96 8.84 5.00 1.77 2.43 4.12 6.59 10.62 14.01 15.66 18.28 21.36 24.25 27.14 28.73 31.65 34.57 35.67 37.10 37.75 37.27 35.96 35.00 33.23 29.36 25.06 21.67 17.96 11.44 5.34 5.03 10.29 17.95 25.03 15.72 +12.43 23.84 22.56 20.90 18.79 16.69 15.47 14.26 12.98 12.53 11.32 10.14 8.99 8.98 9.32 8.58 9.15 9.59 9.45 10.62 11.20 11.21 11.79 11.80 12.98 13.02 13.02 14.14 14.14 14.14 14.14 14.73 15.92 16.59 15.37 15.37 16.08 14.92 14.45 13.29 12.87 12.49 10.44 9.88 8.76 6.15 4.29 3.00 1.77 1.32 3.33 3.33 5.00 7.10 8.01 9.32 10.62 11.12 11.93 13.24 13.74 14.06 15.21 14.87 15.37 17.00 17.00 17.00 18.63 20.28 20.28 20.76 22.06 23.37 25.17 25.67 27.80 29.61 30.62 32.45 33.21 34.79 35.85 36.14 35.67 36.55 37.46 37.09 36.59 36.18 36.06 34.68 33.33 32.02 30.14 28.34 27.13 25.93 24.17 23.01 21.83 20.70 19.00 18.03 17.01 15.87 16.41 16.34 16.08 16.18 15.09 13.76 13.76 13.44 11.62 10.29 9.15 7.66 6.59 7.10 8.19 10.17 13.02 15.72 18.46 21.25 23.75 26.09 28.20 29.78 31.10 31.89 32.74 32.54 32.54 33.67 32.36 30.73 30.73 30.73 29.11 27.49 26.39 26.10 25.58 23.99 22.93 21.61 20.82 20.35 19.38 18.46 18.73 18.42 17.72 17.09 17.72 18.42 18.61 19.30 19.19 19.38 19.76 20.14 20.90 20.90 20.90 20.90 21.45 21.45 20.35 19.59 18.49 17.95 17.95 17.13 15.06 12.94 11.79 11.26 10.14 8.98 8.86 9.72 10.29 11.62 13.44 13.76 15.02 16.85 18.30 19.30 19.52 21.08 21.90 22.00 23.48 24.45 24.16 24.04 24.62 25.00 25.45 26.03 25.37 25.93 26.52 25.37 24.78 24.81 25.45 25.00 24.04 24.04 23.46 22.31 21.29 20.88 21.16 19.88 17.73 17.01 16.76 16.01 14.74 13.55 11.79 11.33 11.18 10.54 10.49 10.03 10.31 10.62 12.02 13.02 13.57 14.34 15.72 17.16 17.73 17.95 18.19 19.00 19.94 20.28 20.28 20.62 20.90 20.42 20.07 20.52 21.35 21.74 21.35 21.08 21.08 21.67 22.18 22.44 23.46 24.04 24.04 23.93 24.34 24.42 25.00 26.09 26.25 26.35 26.35 25.89 26.46 26.87 27.39 28.51 28.56 29.11 29.33 30.05 31.36 31.62 31.65 31.94 31.94 32.24 33.05 33.67 33.99 33.99 33.99 33.99 33.99 33.99 33.67 32.86 32.36 32.24 31.14 29.82 29.53 28.99 27.70 27.04 25.73 23.86 23.15 21.73 19.88 19.00 17.18 15.37 14.14 12.98 11.80 10.03 8.33 7.29 6.01 5.43 5.03 2.36 2.36 2.43 1.32 1.32 1.32 1.67 0.83 0.83 1.67 1.67 1.67 2.12 3.17 3.95 4.60 5.56 7.66 9.75 11.07 12.69 14.91 16.77 18.63 21.29 24.16 26.73 29.73 32.73 35.30 37.48 39.51 41.94 43.80 45.52 47.05 47.99 49.02 50.37 51.24 51.66 51.99 52.09 52.09 51.91 51.77 51.83 51.83 51.39 50.56 50.25 50.44 50.09 49.53 49.72 50.09 49.81 50.14 50.77 51.45 52.17 52.94 53.75 53.75 54.59 55.17 55.31 55.61 55.61 55.88 56.60 56.90 56.67 56.84 57.21 57.95 58.21 58.34 58.34 57.74 57.19 57.19 56.95 55.69 54.28 52.63 50.69 48.79 46.67 44.08 41.80 39.69 37.20 34.65 32.15 30.05 27.99 25.58 23.10 20.76 19.00 17.40 16.41 15.72 15.42 16.50 17.10 18.42 20.72 22.36 23.31 25.31 27.14 30.33 33.55 35.98 38.41 41.18 43.50 43.84 45.49 47.14 48.79 48.79 48.79 49.15 48.68 48.32 46.67 44.91 43.62 41.97 39.48 37.83 36.18 33.71 31.24 29.59 27.13 24.68 23.05 20.11 16.68 13.74 11.62 9.81 6.37 2.12 0.59 2.43 5.03 8.98 12.69 14.55 17.66 20.56 23.19 26.62 28.73 31.14 34.36 35.98 37.92 38.57 37.61 37.01 35.61 33.50 30.93 26.68 22.92 18.79 12.26 6.72 4.75 9.59 16.64 23.99 15.15 +13.24 24.67 22.56 20.90 19.24 16.75 15.09 14.26 13.44 12.26 10.82 10.29 9.32 8.58 9.15 9.01 8.92 9.45 9.43 10.02 10.62 11.21 11.80 11.92 13.02 13.02 13.02 14.15 14.78 15.37 15.33 14.73 15.37 16.59 15.92 16.01 16.30 15.15 14.73 13.44 13.44 13.60 11.18 10.07 9.32 7.45 5.03 3.00 2.36 1.32 2.50 3.44 5.07 6.37 7.68 8.99 10.02 11.62 11.93 12.43 13.74 14.87 15.21 14.06 15.37 17.00 17.00 17.00 18.30 20.11 20.62 20.62 22.24 23.05 24.36 25.37 27.19 29.02 30.05 31.89 32.15 33.75 35.36 35.67 35.24 35.60 36.52 36.75 35.87 35.02 35.48 34.68 33.33 32.02 30.73 29.52 27.72 26.54 25.40 23.64 22.46 21.93 20.76 20.25 19.18 17.73 17.73 17.41 17.40 17.49 16.51 15.09 15.00 14.64 11.79 10.62 9.22 7.29 6.01 6.26 6.87 8.92 12.50 15.30 17.33 21.12 23.99 24.78 27.42 29.53 30.33 32.24 33.67 32.36 32.36 33.99 32.36 30.73 30.73 30.73 29.11 27.49 26.17 25.67 25.37 23.19 22.93 22.14 20.35 20.14 19.38 17.73 17.34 17.77 17.69 17.10 16.59 17.34 18.03 18.15 18.08 18.83 19.94 19.81 20.35 21.12 21.67 21.45 20.90 21.25 20.69 19.94 18.83 17.73 16.97 15.87 14.55 12.92 11.44 10.42 9.59 8.99 9.15 9.43 9.72 10.54 11.79 12.92 13.76 15.47 16.85 17.99 18.72 19.76 20.82 20.35 21.25 22.75 23.15 23.01 23.46 23.25 23.75 24.92 24.19 24.16 25.34 25.34 24.78 24.22 24.27 24.34 23.25 22.67 22.67 22.19 21.16 19.88 19.67 19.67 18.03 16.76 16.59 16.50 15.33 14.15 13.08 12.49 12.13 11.79 12.50 11.79 12.13 12.69 13.44 13.76 13.60 14.73 16.01 16.76 17.16 17.73 17.95 18.19 19.00 19.94 20.28 20.28 20.07 20.00 20.07 19.69 18.87 19.30 20.56 21.08 20.82 20.69 21.29 21.73 22.31 23.46 24.04 24.42 24.34 23.93 25.00 25.58 25.67 25.67 25.77 25.89 26.01 25.91 26.28 27.39 27.25 28.01 29.26 29.78 30.31 31.10 31.14 31.43 31.94 31.73 32.04 32.36 32.36 32.36 32.36 32.36 32.36 32.36 32.54 32.24 31.23 31.14 31.10 30.05 28.99 28.01 27.04 26.65 25.91 24.61 24.04 22.67 20.83 20.11 18.94 17.72 16.50 14.73 13.55 12.39 10.67 8.92 7.10 6.51 6.48 5.03 4.29 4.17 3.73 3.44 3.33 3.33 3.44 3.17 2.12 1.67 1.32 0.59 0.59 1.67 2.95 3.77 5.07 6.87 8.44 9.75 12.15 14.35 15.47 17.73 20.88 23.88 26.15 28.58 31.16 33.36 35.96 38.57 40.28 42.02 44.34 45.86 46.66 47.22 48.10 49.04 49.05 49.15 49.98 50.25 50.11 50.17 50.17 50.17 49.79 49.05 48.79 48.57 48.05 48.10 49.02 49.55 50.14 50.56 50.50 50.69 51.64 53.18 53.60 53.88 54.02 54.59 55.61 55.88 56.03 56.18 56.50 56.84 57.21 57.40 57.59 57.34 57.57 57.57 56.96 56.40 55.88 55.88 55.40 54.47 52.97 50.67 47.89 45.77 43.98 41.60 39.13 37.01 34.89 32.41 29.82 27.13 24.36 22.24 20.83 19.51 17.73 16.44 16.08 15.95 16.51 16.67 17.73 19.94 22.00 23.75 25.56 27.42 30.12 33.05 35.98 38.73 41.85 43.84 43.84 45.49 47.14 48.79 49.15 48.68 49.51 48.68 47.50 47.14 45.49 43.84 42.20 39.73 38.09 36.45 34.32 31.72 29.26 27.30 25.17 22.74 20.83 17.92 14.49 12.65 10.54 7.66 3.73 0.59 1.67 3.77 6.87 10.82 13.74 16.68 19.00 22.15 25.87 27.99 30.92 34.17 36.12 38.43 38.77 38.30 38.19 36.82 33.81 32.11 28.33 23.78 19.69 13.24 8.01 5.00 9.45 16.41 23.19 14.45 +13.74 25.22 23.10 21.35 18.87 16.85 15.56 13.91 13.24 12.13 10.54 9.52 9.15 9.01 8.92 9.45 9.43 9.43 9.45 10.09 10.67 11.26 11.92 12.02 13.08 13.67 13.67 14.25 14.84 15.37 15.92 15.91 15.95 15.95 15.95 16.87 16.44 15.72 15.72 14.45 14.01 14.35 12.49 10.44 9.88 8.76 6.15 3.73 1.86 0.83 1.32 3.33 4.60 5.56 7.68 8.50 9.32 11.44 11.93 11.93 13.24 15.37 15.37 13.74 15.37 17.00 17.00 17.00 17.49 19.30 20.62 20.62 21.93 23.24 24.05 24.56 26.39 28.22 29.26 31.10 31.36 32.19 34.36 35.24 35.04 34.85 35.05 36.02 35.87 34.45 34.32 34.10 33.33 32.02 30.73 30.14 28.34 27.16 26.62 24.81 23.64 23.10 22.00 20.92 20.58 19.76 18.83 18.49 18.98 19.00 17.49 16.51 16.38 15.47 12.50 11.32 9.81 7.66 5.92 4.75 5.27 7.07 11.01 14.35 16.64 20.83 23.75 24.27 26.68 29.11 30.24 32.20 33.50 32.69 32.20 33.50 32.69 30.90 30.41 30.08 28.61 27.49 26.98 25.67 24.56 22.67 22.67 21.61 19.81 19.81 18.63 17.58 16.18 16.08 15.95 15.91 15.42 15.60 16.76 17.16 17.73 18.49 19.59 19.81 19.81 19.81 20.35 21.25 20.69 20.50 20.32 19.59 18.63 18.08 17.16 15.47 14.91 14.24 12.94 10.96 9.59 8.84 8.76 8.33 8.33 9.52 10.82 11.79 12.92 14.59 15.09 16.18 17.69 18.72 19.51 19.59 20.14 20.69 21.62 21.87 22.31 22.09 22.58 23.75 23.05 22.42 23.01 23.57 24.19 24.19 23.05 23.05 22.46 21.34 21.34 20.83 20.34 20.25 19.59 19.00 18.42 17.18 16.50 16.59 15.42 14.34 14.17 14.01 13.97 13.57 13.81 13.33 13.44 13.74 14.24 14.17 14.34 16.01 16.50 16.59 16.76 17.16 17.73 17.95 18.19 18.49 18.63 18.63 18.41 18.33 18.79 19.33 18.98 18.80 19.52 20.29 20.35 20.50 21.45 22.44 22.31 22.19 22.67 23.75 24.42 24.04 25.00 25.00 25.09 25.77 26.01 26.73 26.87 26.09 25.93 27.04 27.25 27.16 27.67 28.20 28.46 29.53 30.62 31.23 31.94 31.43 30.73 31.05 31.87 32.36 32.04 31.23 30.73 30.73 30.92 31.14 30.62 30.05 30.05 29.52 28.78 28.14 27.39 27.04 26.15 24.73 24.42 23.69 21.93 21.29 20.07 18.87 18.27 16.50 14.73 14.14 13.55 11.80 10.09 8.92 7.86 6.90 6.15 5.80 6.37 6.37 5.43 5.00 5.43 6.07 5.56 4.60 3.95 3.17 2.12 1.77 1.67 1.32 2.12 3.33 5.27 6.59 7.91 10.62 13.04 14.91 16.77 19.59 22.58 25.17 27.77 29.81 31.87 34.49 36.55 37.99 40.33 42.16 43.23 44.07 45.28 46.42 46.92 47.39 48.22 48.59 48.45 48.14 47.31 47.23 47.76 47.50 46.79 46.25 46.10 46.49 47.43 47.99 48.59 49.59 50.31 50.51 50.35 51.32 52.74 53.31 53.45 53.88 54.59 55.31 55.31 55.20 56.10 56.28 55.90 56.09 56.69 56.80 56.80 57.02 56.96 56.40 55.61 54.81 53.80 53.06 51.75 49.92 47.91 46.10 44.29 42.00 39.55 36.94 34.49 32.04 29.11 26.90 25.30 23.19 21.36 20.14 19.02 18.03 17.25 17.10 17.18 17.45 18.46 19.38 21.67 23.99 25.56 28.22 30.42 32.36 35.63 38.91 41.85 43.98 44.32 45.49 47.14 48.79 49.62 48.79 49.62 48.79 47.14 47.14 45.49 43.50 42.34 39.88 37.92 36.79 35.17 32.74 29.82 27.70 25.83 23.46 21.61 18.98 15.56 13.46 11.18 9.01 6.51 3.00 1.77 2.95 5.43 9.66 13.08 15.69 17.81 20.76 25.01 27.13 30.41 33.71 36.18 38.66 39.02 38.93 38.86 37.97 34.61 32.92 29.59 25.06 20.62 14.25 9.15 5.56 8.84 16.41 22.67 13.44 +13.74 25.22 23.57 21.92 18.63 17.00 16.51 13.57 12.43 12.13 10.29 9.32 8.58 8.44 8.27 8.84 9.43 9.45 9.59 10.29 11.44 12.02 12.02 12.02 12.60 13.67 13.67 13.67 14.15 14.14 14.73 15.92 16.54 15.92 16.67 17.58 16.76 16.76 16.30 15.15 14.73 14.91 13.60 11.18 10.29 8.98 6.90 5.03 2.43 0.59 1.32 2.95 3.77 5.43 7.10 8.01 9.32 10.62 11.93 12.26 12.26 14.87 15.37 13.74 15.37 16.68 16.88 17.40 17.69 18.80 20.11 20.62 21.12 22.95 23.99 24.51 26.10 27.42 28.46 30.05 30.87 31.19 32.83 34.49 34.85 34.49 34.32 34.89 35.16 34.90 34.21 33.42 33.33 32.02 30.73 30.73 29.52 28.34 27.80 26.03 24.27 23.75 23.35 21.73 21.45 20.88 20.32 20.14 20.04 20.56 19.00 17.49 17.33 16.38 13.81 12.09 10.42 8.01 5.27 2.95 3.17 6.01 9.52 12.92 16.60 20.32 22.95 24.56 26.80 28.77 30.41 32.06 32.54 33.02 32.54 32.88 32.88 31.24 30.41 29.59 27.95 27.13 26.80 25.37 24.27 22.95 22.44 20.56 19.27 19.59 17.89 17.16 15.60 15.42 15.37 14.74 14.92 15.02 15.72 16.21 16.41 16.64 17.95 19.27 19.81 19.59 19.04 19.94 20.32 19.59 19.44 19.44 18.46 17.73 17.58 16.59 15.47 14.01 12.92 11.62 10.14 8.33 7.66 7.29 7.07 8.76 10.02 10.14 12.09 13.76 13.81 14.73 16.51 17.18 17.66 18.49 19.59 19.94 20.16 21.16 21.61 21.51 21.51 22.09 22.00 21.29 21.83 21.81 21.81 22.40 21.81 21.81 21.83 21.34 21.34 20.76 19.59 19.53 19.48 18.30 17.69 17.10 16.59 16.67 16.08 15.72 15.47 15.10 15.81 15.37 15.09 15.00 15.09 15.37 15.81 15.66 15.72 16.76 16.59 16.50 16.59 16.76 17.16 17.73 17.95 17.40 17.00 17.00 17.21 17.50 17.52 18.04 18.63 18.80 19.00 19.51 20.14 20.50 20.88 21.73 22.19 22.19 22.67 23.25 23.93 24.04 25.00 25.00 24.62 25.31 25.44 25.58 26.47 26.84 25.93 26.15 27.70 27.94 27.14 27.94 28.73 28.50 28.80 29.11 29.82 30.62 30.73 30.56 30.56 30.73 30.92 30.92 30.73 30.42 29.82 29.53 29.26 28.73 28.48 28.24 28.14 27.77 27.04 26.73 26.35 25.00 24.27 24.19 22.46 21.83 21.21 19.45 18.86 18.27 16.50 14.73 14.14 13.02 12.02 11.44 9.88 8.98 9.22 9.32 9.20 9.32 8.84 8.33 8.33 8.50 8.50 8.01 7.38 6.87 6.37 5.80 5.43 3.73 2.36 1.32 0.83 2.64 3.95 5.80 8.76 11.18 13.04 15.47 18.46 21.06 23.67 26.09 27.59 29.66 32.28 33.75 35.32 36.89 38.75 40.42 41.35 42.49 43.84 44.45 44.45 44.82 45.12 45.65 46.11 45.57 45.28 45.49 45.28 44.79 44.47 44.88 45.86 46.19 46.29 47.53 48.83 49.62 49.62 50.03 51.45 52.16 52.74 53.18 52.74 53.31 54.02 53.51 54.24 54.80 54.60 54.98 55.04 55.26 55.26 55.17 55.40 54.82 54.55 54.29 52.72 51.68 50.61 49.05 47.80 46.49 44.37 41.74 39.32 36.69 34.28 31.89 29.52 27.41 25.85 24.07 21.80 20.16 19.30 19.00 17.72 17.69 18.42 18.61 19.44 20.32 22.21 23.99 25.83 28.50 30.92 32.86 35.63 38.91 41.03 43.64 45.28 45.97 47.14 48.79 49.26 48.91 49.74 48.57 47.40 47.40 45.77 43.31 42.49 40.04 37.60 36.48 35.08 33.21 31.10 28.20 25.85 24.53 22.44 20.14 17.16 15.15 12.60 10.03 8.84 6.01 3.77 3.58 5.03 8.84 12.09 14.59 17.52 20.02 23.39 26.78 30.10 33.43 35.92 38.41 39.64 39.60 39.59 38.33 35.42 33.77 30.49 26.41 21.58 15.81 10.17 6.07 8.27 16.21 22.68 14.34 +13.74 25.22 23.57 21.92 18.63 17.00 16.68 13.97 12.39 12.15 10.44 9.72 9.01 8.27 8.27 8.86 9.45 9.59 9.72 9.72 10.29 11.44 12.02 12.02 12.02 13.08 13.67 13.60 14.15 14.74 14.73 15.37 15.95 15.95 17.45 17.45 16.76 17.01 16.59 15.47 15.10 14.78 13.46 12.15 11.07 8.98 7.45 6.01 4.12 2.36 1.32 2.50 3.33 5.43 6.37 7.68 9.32 10.14 11.44 12.75 11.93 13.74 15.57 14.25 15.06 16.08 16.60 17.40 18.20 18.72 19.76 21.08 21.08 22.40 23.46 24.78 26.09 27.16 28.48 29.02 30.10 30.64 31.19 32.83 33.54 33.75 34.32 34.16 33.88 34.32 34.21 32.84 32.75 32.09 30.26 29.67 29.09 27.85 27.85 27.27 25.51 24.51 24.04 23.46 23.01 22.02 21.25 21.12 20.82 21.08 20.56 19.00 18.63 17.21 14.26 12.98 11.26 8.33 5.43 3.17 1.86 5.03 8.44 12.13 15.87 19.61 22.06 24.52 26.99 28.64 30.29 31.94 31.94 32.41 33.23 33.13 32.30 30.76 30.41 29.94 28.17 26.52 25.83 24.68 23.86 23.05 21.93 19.76 18.49 18.83 17.89 17.01 15.50 14.84 14.74 14.25 14.34 14.45 14.73 15.10 15.87 16.09 16.09 16.64 17.95 19.38 18.83 18.63 19.44 19.44 19.44 19.44 18.87 18.15 17.58 17.01 15.87 14.17 12.49 11.07 9.75 8.01 6.87 6.15 6.51 8.44 8.98 8.99 11.32 12.50 12.98 13.91 15.37 16.08 16.60 17.13 17.95 18.83 18.63 19.19 19.44 20.45 21.03 20.92 21.42 20.70 20.66 21.25 21.29 20.66 20.62 21.21 20.63 20.07 20.07 20.07 19.48 18.87 18.86 18.27 17.69 17.77 17.25 16.67 16.76 17.16 16.41 15.81 16.68 16.51 16.75 16.67 16.75 17.00 16.88 16.34 16.41 17.16 16.76 16.59 16.50 16.59 16.76 16.59 16.41 16.34 16.68 17.00 16.85 16.67 16.69 16.75 17.00 17.49 18.20 18.73 19.38 19.59 19.44 20.45 21.61 22.31 23.46 24.04 24.04 24.04 25.09 25.77 25.44 25.44 25.44 25.17 25.53 26.09 25.93 26.09 26.63 27.16 27.42 27.70 27.94 27.70 27.49 27.49 27.99 29.11 30.24 30.24 29.42 29.11 29.31 29.31 29.11 29.02 28.46 27.94 28.20 28.24 27.47 27.04 27.04 26.87 26.73 26.35 26.09 25.45 24.81 24.78 23.64 23.01 22.98 21.21 19.45 18.86 18.27 16.51 15.37 14.34 13.44 13.44 12.69 12.13 12.26 12.61 12.15 11.79 11.79 11.67 11.67 11.79 11.79 11.79 11.62 10.62 9.81 9.22 8.76 7.45 6.15 5.03 3.73 1.77 0.83 2.12 3.73 6.15 8.76 11.18 13.44 15.47 18.08 21.06 23.11 24.62 26.93 29.26 30.83 32.69 34.87 36.79 37.92 38.57 39.13 39.85 40.68 41.42 41.80 41.87 41.97 41.87 41.97 42.20 42.49 42.85 42.85 42.98 43.50 44.43 44.55 44.72 45.89 46.88 47.60 48.59 49.47 49.47 50.05 51.20 51.32 51.45 52.31 52.21 52.21 52.94 53.48 53.67 52.97 53.18 53.95 53.85 53.85 53.01 52.19 52.72 52.18 51.13 50.60 49.02 46.66 44.54 42.96 40.85 38.74 36.63 34.28 32.19 30.64 28.56 26.28 24.61 23.15 21.73 20.34 20.07 18.86 18.28 19.53 20.34 20.01 20.88 23.31 24.53 26.35 28.73 31.14 33.55 36.29 39.06 40.70 43.16 45.62 46.44 47.27 48.91 48.91 48.91 49.39 48.23 47.40 47.07 45.60 43.97 42.66 39.92 38.01 36.40 34.80 33.21 31.36 28.78 26.70 25.39 22.92 21.29 18.61 16.67 14.78 11.79 10.03 8.58 7.10 6.37 6.59 9.15 11.86 14.06 16.75 20.02 22.52 26.68 30.01 32.92 36.25 38.77 40.03 40.03 40.03 38.81 36.37 34.33 31.47 27.47 22.74 17.41 11.26 7.68 9.01 15.72 22.55 15.37 +14.24 25.83 23.70 21.74 19.30 17.49 15.87 13.71 12.49 12.15 11.44 10.17 9.45 8.92 9.01 9.50 9.72 10.44 10.44 10.44 10.44 11.01 12.02 12.02 12.02 12.60 13.67 14.19 14.25 15.37 15.91 15.95 15.42 15.60 17.01 16.87 17.01 17.16 17.33 16.21 15.87 15.56 13.46 12.69 11.93 9.88 8.01 6.15 4.29 3.00 1.32 2.64 3.44 4.17 5.56 7.68 9.32 10.14 10.62 12.43 12.13 12.65 15.29 15.29 14.77 15.57 16.37 16.88 17.92 18.45 19.24 20.56 21.08 21.61 22.93 24.51 25.03 26.09 27.94 28.24 29.33 30.64 30.42 31.31 32.24 32.80 33.36 32.87 33.30 33.30 33.17 32.36 31.68 31.68 30.42 29.26 28.67 27.42 26.84 26.84 26.25 25.77 24.62 24.16 23.72 23.48 22.76 21.90 21.61 21.35 21.12 20.11 19.61 18.30 15.21 13.44 11.79 8.84 6.26 3.33 0.59 3.95 7.68 11.79 15.09 19.24 21.73 23.84 26.78 28.44 30.10 31.77 31.77 31.77 33.05 33.50 31.84 30.18 30.18 30.18 28.53 25.69 25.34 24.87 23.22 22.24 21.35 19.51 17.95 17.95 16.97 15.87 15.02 14.25 13.57 13.76 14.45 14.73 14.91 14.78 15.56 16.09 16.09 16.09 16.09 17.33 18.08 18.63 19.44 19.44 19.44 19.30 18.61 18.03 17.45 16.76 15.60 14.45 12.72 10.44 9.32 8.19 6.67 5.80 6.51 7.75 8.01 8.44 10.14 10.83 12.15 13.44 13.91 14.87 15.87 16.08 16.34 17.41 17.73 18.08 17.89 18.46 19.44 19.76 20.34 19.67 19.00 19.59 20.76 20.07 19.45 20.07 19.45 18.86 18.87 18.30 17.72 17.72 17.72 17.72 17.72 18.42 17.92 16.76 17.16 17.73 17.41 17.40 17.49 17.33 18.41 17.92 17.92 18.41 17.81 17.40 17.41 17.73 17.16 16.76 16.59 16.50 16.59 15.72 15.47 15.87 16.08 16.18 15.56 15.42 16.26 16.75 17.00 17.00 17.40 17.95 18.63 19.44 19.44 20.01 21.16 21.73 22.19 22.67 22.77 23.46 24.62 25.31 25.44 25.44 25.58 25.53 25.53 25.53 25.85 26.09 25.85 26.09 26.10 26.10 26.62 27.19 27.49 27.49 27.49 27.30 27.30 27.49 27.49 27.49 27.70 27.70 27.19 26.88 26.63 26.35 26.63 27.04 26.09 25.17 25.44 25.44 25.77 26.09 26.03 26.03 25.99 25.37 24.19 23.58 23.57 22.98 21.22 20.07 20.07 19.00 18.03 17.01 15.66 15.87 15.81 15.37 15.09 15.09 15.09 15.47 15.92 15.42 15.00 15.09 15.09 15.09 15.37 14.87 13.74 12.65 12.15 11.38 10.29 8.98 7.66 6.72 4.29 2.12 0.83 1.32 3.73 6.01 8.33 9.72 11.74 14.91 18.08 20.35 22.40 24.78 26.35 27.99 29.92 31.23 32.36 33.84 34.89 35.61 36.44 36.82 36.82 36.90 37.37 37.73 37.83 38.09 38.41 39.11 39.32 39.27 39.85 41.59 42.86 43.24 44.60 45.74 46.16 46.47 47.50 48.07 48.07 48.77 50.17 50.88 50.60 50.75 50.75 50.51 50.87 51.62 51.45 51.32 52.08 52.31 52.31 51.76 50.38 49.84 49.30 48.24 47.99 47.21 45.11 42.72 41.16 39.62 37.76 36.22 34.69 32.62 30.56 29.07 27.44 25.44 24.04 22.67 21.42 21.83 21.21 19.45 19.59 21.03 21.16 21.45 23.86 25.39 26.93 29.52 31.37 33.77 37.29 39.23 40.86 43.31 45.77 46.58 47.40 48.71 49.19 49.19 48.87 48.87 47.56 46.42 45.28 44.16 42.76 40.35 38.23 36.37 35.32 33.75 31.19 29.45 27.95 26.47 23.58 22.19 20.25 17.72 16.50 14.78 12.60 10.83 9.66 8.76 8.98 10.62 12.02 14.01 16.60 20.62 23.05 26.65 30.29 32.77 36.90 39.39 40.22 40.68 40.31 39.95 37.61 34.81 32.36 28.80 24.25 18.63 12.98 9.81 11.18 16.01 22.36 15.37 +14.24 26.31 23.86 21.42 19.81 18.20 15.81 13.24 12.15 12.02 11.92 11.20 10.67 9.59 9.01 9.72 10.07 10.44 10.62 11.18 11.18 11.18 12.02 12.02 12.02 12.02 13.02 13.60 13.67 14.74 15.92 16.59 16.08 16.18 16.87 17.01 17.16 17.33 17.73 16.41 16.41 16.41 14.35 13.24 11.93 10.62 8.76 6.90 5.03 3.00 1.32 2.12 3.33 3.33 5.00 7.10 8.84 9.81 10.02 12.13 12.13 12.13 14.25 15.29 15.29 15.57 16.08 16.34 17.66 18.72 18.72 19.76 21.08 21.08 22.40 24.25 24.78 25.31 26.93 27.80 29.11 30.42 30.01 30.37 31.68 32.43 32.06 31.73 32.46 32.30 32.02 31.90 31.32 30.62 30.52 29.94 28.67 28.09 26.93 26.46 25.89 25.89 25.44 24.45 24.04 24.42 23.86 23.31 23.21 22.40 22.15 21.12 19.81 19.00 16.88 14.25 12.43 9.81 6.87 3.95 0.59 3.33 7.50 11.67 15.00 18.75 21.68 23.35 26.28 28.38 30.05 31.71 31.71 31.71 32.54 32.98 31.77 30.49 29.66 29.73 28.53 25.22 25.22 24.87 22.55 21.42 20.32 19.24 17.66 17.41 16.41 14.73 14.34 14.15 13.02 12.60 13.29 13.60 14.35 14.24 14.24 14.78 15.56 16.09 16.09 16.97 17.52 17.89 18.87 19.30 18.61 18.50 18.42 17.25 16.59 15.95 14.78 13.60 12.43 10.75 9.32 8.44 7.19 6.37 6.01 6.01 6.59 7.68 8.84 9.59 11.26 12.98 13.44 13.91 14.55 15.29 15.81 16.34 16.41 17.33 18.08 17.52 17.33 17.73 18.87 18.61 18.50 18.50 19.08 19.00 18.42 18.50 17.77 17.72 18.35 18.42 17.25 16.67 16.67 16.76 16.30 17.01 17.58 17.16 17.73 17.95 18.19 19.00 18.30 18.15 20.07 19.17 18.79 19.69 19.45 19.00 18.19 17.95 17.73 17.16 16.76 16.59 15.91 14.92 15.15 14.91 14.78 15.06 15.09 15.02 15.00 15.09 15.37 15.37 15.81 16.41 17.33 18.87 19.59 20.16 20.58 21.16 22.19 22.67 22.31 23.01 24.04 24.04 24.16 24.87 25.17 24.97 25.34 25.39 25.56 25.61 25.31 25.83 26.10 26.10 26.10 25.87 25.87 26.17 26.98 26.98 26.17 25.87 25.58 24.78 24.78 25.30 25.03 25.07 25.07 24.53 24.07 24.61 25.01 25.01 25.31 24.62 25.00 26.03 25.99 25.37 25.34 25.34 24.16 23.57 23.57 23.57 22.42 21.34 21.34 20.34 19.44 19.02 17.95 17.92 18.49 18.63 18.41 18.41 18.41 18.75 19.62 19.62 18.75 18.79 19.24 18.87 18.63 18.63 18.49 17.40 16.60 16.60 15.81 14.24 12.39 11.38 10.07 7.38 5.27 3.73 1.67 1.67 3.58 5.43 7.45 9.32 11.74 14.01 15.81 18.19 20.56 22.24 23.86 25.67 27.13 28.64 29.82 30.56 31.39 31.84 32.22 33.50 34.42 34.06 33.71 33.99 34.67 35.67 36.37 36.68 37.22 38.97 40.81 41.77 42.59 43.02 43.91 44.49 45.65 46.80 47.50 47.62 47.74 48.89 48.59 48.74 49.46 49.22 48.83 49.01 49.39 49.24 49.24 49.24 49.24 49.24 48.59 48.05 47.28 46.19 45.42 44.97 44.21 42.57 41.04 39.73 38.21 36.15 34.85 33.75 31.16 29.15 28.20 26.35 25.00 23.69 21.93 22.42 22.98 21.81 21.34 21.51 22.19 23.15 24.42 25.39 26.93 30.05 31.62 34.28 37.80 39.41 41.04 43.16 46.10 47.23 47.56 48.05 49.04 49.53 48.72 49.22 48.10 46.49 45.68 43.78 42.43 41.37 39.02 36.68 35.90 34.14 31.68 30.20 28.58 27.74 25.09 23.17 21.87 19.45 17.72 16.67 15.15 12.92 11.79 11.67 11.62 12.72 14.19 15.95 18.73 21.80 23.75 26.62 30.92 33.86 37.10 39.39 41.03 42.00 40.86 40.86 38.91 35.89 33.21 30.05 25.39 19.44 14.14 10.82 11.93 16.59 22.36 15.37 +14.24 25.99 24.05 21.93 19.52 18.19 16.41 13.44 12.02 12.02 11.26 10.62 10.67 10.17 9.88 10.07 9.88 9.88 10.07 10.44 10.62 11.18 12.02 12.02 12.02 12.02 13.02 13.02 13.02 14.15 14.84 16.08 16.67 16.67 17.45 17.73 17.33 17.73 17.73 16.77 16.97 16.41 15.10 14.01 12.15 11.07 8.98 7.45 6.01 4.12 2.43 1.77 2.95 3.33 5.00 6.67 7.93 8.84 9.32 11.44 11.62 12.13 13.74 14.25 15.29 15.56 16.09 16.34 17.40 18.72 18.19 19.51 20.82 21.36 22.14 23.21 24.84 25.39 25.93 27.25 28.78 29.11 29.26 29.81 31.31 31.87 30.76 31.32 31.89 31.58 31.45 31.45 31.45 30.05 30.05 30.05 28.67 28.67 28.20 27.16 25.89 26.01 26.31 25.17 24.78 25.17 24.07 23.75 23.99 23.21 23.46 22.40 20.56 19.52 17.69 15.06 12.94 10.54 7.66 5.03 1.86 3.73 7.68 11.32 14.59 18.33 21.67 23.33 25.83 28.33 29.59 31.68 31.68 31.68 32.92 32.09 31.27 30.88 29.21 28.83 28.07 25.22 25.22 24.04 22.06 21.25 19.30 19.00 17.40 16.34 15.66 14.45 13.67 12.98 12.43 12.02 12.02 11.74 12.69 13.46 13.46 13.71 14.24 14.78 15.56 16.41 16.77 17.16 17.58 18.50 18.42 17.77 17.72 17.13 16.51 15.91 14.73 13.55 12.39 11.33 9.72 8.01 6.59 5.43 5.03 4.71 5.80 7.68 8.01 8.76 10.42 12.15 13.08 13.24 13.74 14.25 15.29 15.81 15.02 15.56 17.41 16.97 16.77 16.77 17.33 17.16 17.01 17.58 17.58 17.58 17.58 17.45 16.76 16.30 16.30 17.45 17.34 16.67 16.76 17.01 16.59 16.03 16.77 17.73 17.95 18.19 19.00 19.94 18.98 18.87 20.90 20.85 20.02 20.52 20.62 19.94 19.00 18.19 18.49 18.08 17.01 16.76 15.37 14.15 14.25 14.01 13.79 13.18 13.08 13.36 13.33 13.81 14.87 15.37 15.81 16.41 16.97 18.46 19.19 20.32 21.16 20.58 21.73 23.46 23.01 22.44 23.46 24.16 24.45 25.17 25.34 24.78 24.78 24.53 24.78 25.61 25.56 25.30 25.58 26.10 26.10 25.87 25.87 25.67 25.67 25.58 24.78 24.27 24.51 24.51 23.99 23.46 23.21 23.53 23.31 22.55 22.36 23.15 23.58 23.58 24.51 24.42 24.27 24.78 25.34 25.34 24.75 25.34 25.34 24.16 23.57 23.58 23.05 21.93 21.42 21.16 20.88 20.69 20.29 19.81 19.94 20.62 20.90 20.90 21.29 21.67 22.09 22.95 23.35 23.35 23.01 22.28 21.92 21.92 22.24 22.15 21.12 20.32 19.76 18.73 16.64 14.78 14.01 12.39 10.54 8.98 6.87 4.60 2.12 0.59 3.17 5.59 7.45 8.98 10.54 12.65 15.06 17.00 18.63 20.76 22.75 23.93 24.76 25.50 26.72 28.07 28.83 29.66 30.29 30.76 31.24 31.55 32.04 32.74 33.75 34.36 34.36 35.60 37.31 38.16 39.18 40.22 41.27 41.95 43.11 44.27 44.96 45.54 45.07 45.65 45.77 45.45 46.16 46.46 46.62 46.23 46.03 46.22 46.22 46.22 46.42 47.17 46.83 46.07 45.52 44.97 44.00 43.25 43.25 42.49 40.99 39.13 38.21 36.91 34.89 33.75 31.90 30.05 29.26 28.00 26.68 25.45 23.69 23.01 23.57 23.58 23.64 23.10 23.25 24.87 25.91 26.09 27.80 30.33 31.90 35.05 37.96 40.07 41.95 43.35 45.78 47.60 48.10 48.10 48.91 49.72 48.91 48.61 48.31 46.70 45.62 43.75 42.16 41.12 39.07 37.31 36.55 34.10 32.46 31.01 28.78 28.67 26.68 24.78 23.57 21.87 20.25 18.73 18.08 17.13 15.56 15.00 14.73 15.10 16.18 17.72 20.11 22.31 24.61 27.59 32.19 35.32 37.16 39.83 42.76 43.27 41.67 41.67 40.07 36.89 33.75 30.64 26.09 20.34 15.95 12.94 13.24 17.72 23.15 16.50 +14.91 25.87 24.27 22.67 19.51 17.95 16.21 13.87 12.60 11.92 11.20 10.67 10.67 10.29 10.07 9.88 9.88 10.29 10.62 10.44 10.07 10.44 11.44 12.02 12.02 12.02 13.02 12.98 12.37 13.67 14.25 15.42 16.67 16.76 17.73 17.89 17.89 18.63 17.89 17.33 17.73 16.64 15.56 14.24 12.69 12.15 9.52 7.45 6.15 4.17 3.00 1.67 2.12 3.33 5.00 6.26 7.19 8.50 9.32 10.62 11.12 11.93 13.24 13.74 14.25 14.49 15.56 16.87 17.66 18.19 17.95 19.51 20.04 21.12 22.44 22.44 23.75 24.84 25.39 26.93 28.24 27.80 28.35 29.11 30.42 30.76 29.81 30.37 30.76 30.60 30.60 30.60 30.44 29.59 29.59 29.59 28.31 27.74 28.44 27.87 26.15 25.91 26.09 25.53 25.17 25.39 24.84 24.53 23.99 23.46 23.99 22.67 21.08 20.56 18.72 15.81 13.46 11.38 8.76 6.01 3.17 4.17 7.91 10.62 14.26 18.41 21.73 23.39 25.89 28.38 29.21 31.27 31.25 31.67 33.33 31.67 30.42 30.44 29.61 28.35 26.72 25.12 25.12 23.10 21.58 20.92 19.00 18.72 17.66 16.09 14.17 13.76 13.67 12.37 11.92 12.02 12.15 11.93 11.61 12.15 12.92 13.45 14.24 14.24 14.24 14.91 15.47 16.44 16.76 17.18 17.72 17.69 17.09 16.50 16.50 16.51 15.33 14.14 12.98 11.26 10.09 8.44 6.90 5.43 4.75 4.29 6.01 7.12 7.19 8.37 9.59 11.26 12.15 12.26 13.24 13.74 14.25 15.29 15.29 14.77 15.81 15.87 16.41 16.41 16.41 16.41 15.47 16.77 16.77 16.77 16.77 15.87 16.44 16.59 15.47 15.47 15.87 15.72 16.59 16.77 16.77 16.41 16.34 17.40 17.40 18.49 19.94 20.28 19.80 20.07 20.85 21.68 21.67 21.29 21.35 20.62 19.94 19.00 18.98 18.49 17.33 16.44 14.92 14.15 14.15 13.76 13.04 12.39 12.43 12.98 13.33 13.76 14.73 15.37 15.81 16.64 17.18 17.89 18.08 19.19 21.16 21.29 21.29 22.31 22.88 22.44 23.01 23.72 24.04 24.61 24.61 24.78 25.17 24.78 24.78 25.07 24.78 24.51 24.27 24.51 24.51 24.27 24.27 23.75 22.95 22.93 22.93 22.40 22.14 22.40 22.68 22.44 22.44 22.55 22.36 22.36 22.18 22.31 22.09 21.42 21.93 23.05 23.58 23.57 24.16 25.34 25.34 24.75 25.34 25.34 24.78 24.22 23.69 23.17 22.31 22.18 22.55 22.68 22.67 22.24 22.28 23.01 23.39 23.78 24.59 25.00 25.00 25.42 26.25 26.28 25.95 26.41 26.52 25.69 25.50 25.87 25.07 23.47 22.40 21.90 21.12 19.51 18.19 17.13 15.56 13.46 11.33 9.22 6.87 5.27 3.17 0.59 2.43 4.75 6.87 8.50 10.14 11.79 13.44 15.09 16.75 18.41 20.07 21.29 22.09 23.39 24.22 24.22 25.22 26.52 27.13 27.80 28.30 28.73 30.10 31.52 32.07 32.80 34.59 36.06 36.63 38.37 40.11 40.69 41.27 42.34 42.34 43.01 43.69 43.69 43.80 43.46 43.59 43.88 44.60 44.93 44.72 44.72 44.72 44.72 44.35 44.55 45.11 44.91 43.80 43.05 42.68 41.55 40.81 40.47 39.74 38.45 37.16 36.31 34.79 33.42 32.26 31.00 29.75 29.09 28.38 26.62 25.45 24.78 24.16 24.19 24.27 23.75 23.93 25.44 26.87 26.87 29.26 31.19 32.19 35.06 37.95 40.32 42.70 44.59 45.39 47.22 48.53 48.53 49.63 49.92 48.82 48.53 48.25 47.18 45.59 43.75 42.72 41.16 38.63 37.46 37.09 34.73 33.30 31.90 29.26 28.58 27.16 25.93 24.81 23.93 23.46 21.45 19.81 19.24 18.15 17.50 18.04 18.72 19.19 19.76 21.22 23.69 26.35 29.15 33.54 36.55 38.08 41.16 43.75 44.01 42.97 42.72 41.16 38.08 35.04 32.06 27.74 22.42 18.50 15.37 16.09 20.04 24.62 17.72 +14.91 25.87 24.27 22.67 19.51 17.73 15.87 14.34 13.67 12.39 11.21 10.67 10.75 10.62 10.62 10.44 10.29 10.54 11.18 11.18 10.62 10.44 11.01 12.02 12.02 12.02 13.02 13.55 12.98 13.60 14.19 14.92 15.72 16.59 17.52 17.33 17.89 18.63 18.08 17.73 17.95 17.41 16.09 14.55 13.24 12.69 10.62 8.01 6.90 4.29 2.36 1.86 1.77 2.95 5.00 5.43 6.37 8.50 8.99 10.02 11.62 11.93 12.43 13.45 13.71 14.24 15.02 16.34 17.41 17.95 17.95 19.27 19.81 20.58 21.90 22.44 22.98 24.07 25.39 26.70 27.80 27.59 28.35 29.11 29.66 30.01 29.81 29.81 29.81 29.81 29.81 29.63 29.30 29.30 28.73 28.73 28.17 26.87 27.60 27.77 26.65 26.09 26.09 26.09 26.28 25.93 25.39 25.39 24.84 24.78 24.51 22.93 21.61 21.08 19.51 16.64 14.24 11.61 9.32 6.59 3.95 5.34 7.45 10.31 14.87 18.63 21.45 23.47 25.95 27.99 29.21 30.44 30.84 31.68 32.92 31.67 30.00 30.00 29.59 27.94 25.89 25.06 24.67 22.28 20.76 20.43 18.80 17.69 17.13 15.87 13.44 12.60 13.08 11.79 10.67 10.75 11.18 11.93 11.38 11.07 11.86 12.13 12.92 13.71 14.24 14.91 14.73 15.02 16.01 16.51 16.50 17.10 17.10 16.50 16.51 16.59 15.37 14.15 13.02 10.62 9.43 8.27 6.72 5.56 4.17 3.73 5.43 5.80 6.87 8.01 8.76 10.42 11.32 11.79 12.61 13.08 13.24 14.25 15.29 15.29 14.77 14.49 15.56 16.09 16.09 15.87 15.10 16.09 16.09 16.09 15.87 14.91 15.66 16.41 15.66 14.91 14.91 15.10 16.09 16.09 16.09 16.87 17.13 17.40 17.69 19.12 20.28 20.28 20.28 21.45 21.73 22.09 22.92 22.12 21.73 21.35 20.62 19.94 19.30 18.72 17.41 16.21 15.15 14.25 13.57 12.39 12.02 12.15 12.13 11.79 12.09 12.50 12.61 13.24 14.24 14.78 15.87 17.33 17.52 17.89 19.44 20.72 21.29 21.87 23.01 23.15 23.31 23.88 23.48 24.04 24.78 25.17 25.39 24.53 23.99 24.30 23.99 23.99 23.99 23.46 22.93 22.67 22.40 21.61 21.08 21.61 22.40 22.68 21.90 20.82 20.90 20.90 20.69 20.88 20.88 20.72 20.45 20.83 21.34 21.34 21.34 22.42 23.57 23.57 23.57 24.16 25.34 25.34 24.75 24.78 25.45 25.45 24.34 24.04 24.04 23.86 23.75 23.99 24.56 25.01 25.12 25.06 25.45 26.25 27.09 27.92 28.33 28.33 28.33 28.78 29.66 30.10 29.94 29.11 28.44 27.99 27.70 27.42 26.35 25.31 24.78 24.25 22.93 20.82 19.04 17.41 15.56 13.46 11.33 9.52 7.45 5.27 3.17 1.32 2.12 4.17 5.83 7.50 9.17 10.83 12.50 14.17 15.83 17.50 18.33 18.75 19.62 20.45 21.35 21.92 22.55 23.55 24.27 25.03 26.93 28.90 29.81 30.60 32.02 34.21 35.48 36.52 37.59 38.75 39.33 40.42 41.08 41.27 42.34 42.34 42.06 42.89 43.02 42.59 42.74 43.06 43.24 43.24 43.24 43.24 42.68 41.74 42.30 43.24 42.68 41.94 41.77 41.04 39.59 38.87 38.73 38.03 36.75 35.84 35.08 33.92 32.75 32.09 30.84 29.56 28.93 27.80 26.58 25.93 25.34 25.37 25.45 24.92 25.00 26.35 27.74 27.87 30.37 32.07 32.83 35.13 38.48 40.32 42.43 45.34 45.34 46.93 48.53 48.53 49.85 50.09 49.02 49.02 48.23 47.43 45.60 43.56 43.33 41.59 39.13 37.65 36.75 35.16 33.63 32.75 31.37 30.08 28.88 27.75 26.17 24.62 24.16 23.48 21.90 21.12 21.10 20.42 20.16 20.62 21.67 22.75 23.93 25.93 28.38 31.00 35.16 38.04 39.51 42.49 44.21 44.65 44.65 43.66 41.59 39.32 36.75 33.17 28.58 23.57 19.30 15.69 16.09 20.63 25.67 19.00 +14.91 25.87 24.27 22.40 19.59 17.89 15.72 14.34 13.60 12.96 11.80 10.67 10.29 10.07 10.44 10.62 10.54 10.54 11.18 11.18 11.18 11.18 11.18 12.02 12.02 11.92 12.39 13.55 14.14 14.15 14.25 15.02 15.87 16.77 17.33 17.33 17.73 17.95 18.19 17.92 17.40 17.13 16.09 14.78 13.71 12.39 10.83 8.76 7.45 5.43 2.95 1.86 1.86 2.43 4.60 5.00 5.43 8.01 8.50 9.32 11.44 11.62 11.86 12.92 13.46 14.24 15.02 15.56 16.64 17.95 17.95 18.49 19.81 20.58 21.12 22.21 22.76 23.53 24.84 25.93 27.25 27.25 27.80 28.90 29.26 29.81 29.81 29.81 29.81 29.81 29.63 29.30 29.30 29.63 28.33 28.33 28.33 26.87 27.77 27.95 27.04 27.04 26.65 26.09 26.84 27.04 25.93 25.39 25.61 26.09 24.78 23.46 22.40 21.08 19.51 17.41 15.56 11.93 9.72 7.68 5.07 5.43 7.17 10.83 15.06 18.63 20.62 23.47 26.41 27.24 28.83 30.05 30.88 31.71 32.11 31.25 30.00 30.00 28.75 27.11 26.28 25.01 23.39 21.45 20.28 20.28 18.63 16.68 15.81 15.10 13.44 12.02 11.92 11.20 10.67 10.29 10.29 11.38 12.15 12.13 12.13 12.13 12.39 12.39 12.69 13.44 13.87 14.34 15.37 16.50 16.50 17.10 17.10 16.51 16.59 16.67 15.42 14.25 13.67 11.80 10.02 8.84 6.59 5.27 5.07 4.75 4.71 5.59 7.12 7.38 8.01 9.59 10.42 11.70 12.53 12.15 12.61 13.44 13.91 14.87 14.55 13.74 14.25 15.57 15.57 14.49 15.29 15.57 15.29 15.81 15.02 14.24 15.02 15.56 15.10 15.10 14.78 15.02 15.81 15.81 15.81 16.60 17.40 17.40 18.49 19.94 20.28 20.28 20.62 22.18 22.95 22.92 23.33 22.92 22.12 22.18 21.45 20.28 19.94 19.30 17.92 16.64 14.91 14.01 13.08 11.79 11.21 10.29 10.29 10.62 11.32 11.67 11.79 12.26 13.97 15.02 15.32 16.21 16.77 17.33 18.46 19.44 20.01 20.72 21.87 22.58 22.92 24.04 24.22 24.42 24.97 24.62 24.84 24.84 23.75 23.75 23.99 23.19 22.93 23.21 22.93 22.67 22.68 21.90 21.08 20.82 20.04 20.14 20.14 19.59 19.38 19.38 19.59 19.44 19.30 19.08 19.00 19.59 20.76 21.34 21.29 21.81 22.98 23.57 23.57 23.57 24.16 25.34 25.34 24.22 24.27 25.51 25.77 25.01 24.22 24.07 24.25 24.56 25.50 26.52 26.78 27.11 27.92 28.75 29.61 30.01 30.42 31.25 31.67 31.68 31.71 31.77 32.06 31.72 31.05 30.92 30.92 30.85 30.31 29.52 28.46 27.41 25.61 23.53 22.21 20.58 19.04 17.18 14.78 13.04 11.18 8.98 7.45 5.92 3.58 1.67 2.36 3.73 5.27 6.87 8.50 10.14 11.79 12.98 13.76 14.59 15.83 17.50 18.41 18.98 20.28 21.42 21.87 22.40 23.75 25.53 27.04 28.44 29.36 30.52 32.26 33.84 34.42 35.60 36.77 38.01 39.25 39.33 40.42 41.08 40.22 40.33 40.91 40.46 40.16 40.31 40.31 40.31 40.31 40.47 41.20 40.81 40.07 40.31 40.31 40.31 40.16 39.88 39.18 38.03 37.79 37.01 35.75 35.67 35.60 34.42 33.26 32.60 31.91 30.66 28.93 28.34 27.70 26.52 25.93 25.99 26.03 26.03 26.09 26.93 27.74 28.58 30.93 32.24 33.73 35.67 38.77 40.87 42.69 45.34 45.34 46.93 48.25 48.49 49.81 49.81 48.75 49.02 48.77 47.74 45.96 43.88 43.11 41.18 39.51 37.88 36.88 36.06 33.92 33.13 32.43 31.24 30.10 29.09 28.09 26.46 25.17 25.17 24.78 23.86 23.57 22.95 22.18 22.24 23.21 24.78 26.73 28.58 30.65 33.08 36.42 39.31 41.30 44.03 45.49 45.66 46.03 44.72 42.50 41.04 37.59 32.94 29.02 24.78 20.32 16.75 16.64 20.66 26.17 19.59 +14.91 25.87 23.99 21.90 19.38 17.89 15.72 14.34 13.02 12.37 12.43 12.02 11.18 10.62 10.44 10.29 10.54 10.29 10.44 10.62 11.18 11.01 10.29 10.67 10.67 11.21 11.79 12.39 13.02 13.76 13.87 14.45 16.59 16.77 16.77 17.73 17.95 18.19 18.72 18.20 17.40 16.60 15.81 15.29 13.97 12.39 11.07 8.98 7.45 6.01 4.12 2.43 1.86 2.36 3.95 4.60 5.00 7.10 8.01 9.32 10.62 10.82 11.07 12.39 13.18 13.71 14.78 15.32 16.09 17.41 17.95 17.95 19.27 20.35 20.90 21.67 22.44 22.98 24.07 25.39 26.70 27.25 27.25 27.80 28.35 28.90 29.26 29.81 29.81 29.81 29.07 28.33 29.07 29.81 28.33 28.33 28.33 27.04 27.95 27.95 26.65 26.84 27.04 25.93 25.93 27.25 26.70 25.61 26.09 26.09 25.31 24.25 22.93 21.61 19.51 17.95 16.41 12.87 10.17 8.27 6.37 5.80 7.68 11.18 14.49 18.30 20.76 23.70 26.52 26.87 28.53 30.18 30.56 31.32 31.71 30.88 30.05 29.61 27.92 26.67 26.25 24.62 22.56 20.90 19.69 19.45 18.49 16.60 15.02 14.01 12.87 12.02 11.26 10.62 10.75 10.44 9.52 9.52 10.54 11.62 12.13 12.13 12.39 12.15 11.93 12.87 13.87 14.25 14.74 15.91 16.50 17.10 17.13 16.67 16.30 15.72 15.15 13.87 13.08 12.43 10.62 9.43 7.68 5.03 4.60 4.60 4.29 5.43 6.59 6.87 7.19 8.76 10.00 11.26 12.15 11.79 12.61 13.44 13.44 13.91 14.06 13.74 13.74 15.37 15.37 13.74 15.37 15.37 14.25 15.57 15.06 13.74 14.25 14.49 14.24 15.29 15.06 14.25 15.29 15.81 16.08 16.68 17.00 17.00 18.63 20.28 20.28 20.28 21.45 23.01 23.39 23.78 23.75 23.33 22.92 22.95 22.18 20.62 20.28 19.94 18.49 16.60 14.78 14.35 13.29 11.80 11.21 10.75 10.62 10.82 10.96 10.83 11.32 11.79 12.43 13.71 14.78 15.87 16.97 17.73 18.63 19.59 20.32 20.88 21.45 22.18 22.36 22.92 23.67 23.86 24.22 23.86 23.53 24.07 24.30 23.75 23.21 22.68 22.14 22.44 21.90 20.82 20.90 21.12 20.82 20.35 19.59 19.19 18.63 18.63 18.46 17.73 18.03 18.03 18.50 19.00 19.00 19.00 19.53 20.07 20.62 20.63 21.22 22.40 22.98 23.57 23.57 24.16 24.78 24.86 24.34 24.51 25.31 25.01 24.42 24.53 24.78 25.50 26.52 27.24 28.38 29.59 30.42 31.27 31.71 31.68 32.11 32.94 33.33 33.34 33.37 33.43 34.06 34.66 34.49 34.17 33.86 33.48 32.94 32.15 31.10 30.33 29.11 27.47 26.39 24.84 22.76 20.90 18.83 16.97 15.66 13.24 11.18 10.17 8.33 5.92 4.29 3.33 3.73 4.71 5.43 6.72 8.21 8.99 10.14 11.79 12.98 13.36 13.81 15.09 16.38 17.69 18.98 19.51 20.35 22.36 24.45 26.46 28.09 28.67 29.67 31.37 32.67 34.36 34.95 35.60 36.70 36.77 38.01 39.25 38.85 38.37 38.95 39.18 38.87 38.87 38.87 38.87 38.87 38.45 38.61 39.18 39.02 38.87 38.73 38.03 37.91 38.37 38.27 37.01 36.33 36.84 36.25 35.60 35.48 34.30 33.08 31.84 31.24 31.24 29.49 28.29 28.28 27.70 27.11 27.13 27.13 27.16 27.34 27.62 27.74 29.15 31.16 32.62 34.49 36.22 38.53 40.87 43.22 45.33 45.86 47.43 48.23 47.96 49.81 50.34 48.77 48.77 48.52 47.28 46.29 44.76 43.05 41.20 40.16 38.60 37.10 36.92 34.89 33.63 32.41 31.25 30.73 29.17 28.78 28.58 27.59 26.93 26.35 25.50 25.22 25.06 25.06 25.50 26.35 27.59 28.73 30.05 32.54 35.36 37.83 40.59 42.76 44.88 46.31 46.31 46.46 45.33 43.31 41.30 37.33 33.33 30.10 25.45 20.69 18.35 19.27 21.93 26.75 20.11 +14.73 25.83 23.75 22.00 19.94 17.73 16.18 14.84 13.57 12.39 11.92 12.02 11.18 11.18 11.18 10.54 10.54 10.62 10.44 10.07 10.44 10.87 10.75 10.67 10.67 11.21 11.80 11.92 12.02 13.44 13.44 13.44 16.41 16.41 16.41 17.95 18.19 18.72 18.72 18.19 17.95 17.41 16.34 15.81 14.24 12.92 11.86 8.98 7.45 6.01 4.71 3.58 1.67 1.86 3.44 3.77 5.00 6.67 7.10 8.50 10.02 10.54 10.54 12.13 12.65 12.92 14.24 15.02 15.56 16.64 17.95 17.95 18.49 19.59 20.90 21.67 22.21 22.76 23.53 24.84 25.93 27.25 27.25 27.25 28.01 27.80 28.35 28.90 29.26 29.81 29.26 28.14 28.35 28.90 27.95 27.95 27.95 27.39 27.59 27.59 27.04 26.48 27.25 26.70 25.39 26.93 26.93 26.39 26.63 25.85 26.09 24.78 23.21 22.44 20.35 18.49 16.41 13.44 10.67 8.33 6.59 6.07 8.25 11.01 14.24 17.69 21.25 23.70 25.69 26.87 28.53 30.18 30.18 30.56 31.32 30.88 30.05 28.78 27.09 26.67 25.42 23.78 22.56 20.90 18.87 17.81 17.69 16.60 15.02 13.24 12.15 12.02 10.67 9.45 9.59 9.72 9.32 8.98 8.99 9.81 10.54 10.54 11.07 12.15 12.69 13.04 13.76 14.19 14.74 15.32 15.92 16.59 16.76 17.01 16.44 15.72 15.72 14.45 12.60 12.02 10.75 8.92 7.68 5.43 3.77 3.33 3.73 4.75 5.80 6.87 6.87 8.01 9.59 10.42 11.70 11.70 12.15 13.44 13.44 13.44 13.44 13.44 13.44 14.73 14.87 14.06 15.21 14.87 14.06 15.21 14.87 13.74 13.74 14.06 13.91 14.73 14.87 13.74 14.55 15.37 16.18 17.00 17.00 17.00 18.63 20.28 20.28 20.62 22.18 23.39 23.39 24.22 24.62 23.75 23.33 23.75 22.95 21.35 20.62 20.28 19.12 17.40 15.87 14.91 13.44 11.92 11.20 10.67 9.72 9.52 9.81 10.00 10.42 11.32 11.93 12.65 13.97 15.56 16.64 17.18 17.89 18.63 19.94 21.06 21.80 22.36 22.36 22.36 22.36 22.36 23.11 24.07 24.07 23.53 23.53 23.53 23.21 22.98 21.90 21.67 21.67 21.12 20.69 19.81 19.59 19.19 18.63 19.02 18.46 17.73 17.45 16.76 16.67 16.67 17.18 17.72 17.72 17.72 18.28 18.86 20.07 20.07 20.04 21.22 21.81 22.40 22.98 23.57 23.01 23.69 24.42 24.16 24.87 25.17 25.07 25.83 26.17 26.52 27.24 28.38 29.59 30.42 31.27 31.71 32.15 33.37 34.65 35.04 35.00 35.42 35.87 35.54 35.61 36.65 37.10 35.98 34.87 34.80 35.05 34.79 33.47 32.73 32.28 30.64 29.02 28.56 27.04 24.62 23.31 21.67 20.14 18.08 15.47 13.87 12.02 10.17 8.84 6.59 5.27 5.00 4.49 5.43 5.92 6.01 7.45 8.98 9.81 10.03 10.42 11.26 12.15 13.74 15.81 17.41 18.49 19.94 21.73 23.25 25.00 26.75 28.44 29.61 30.26 32.54 33.72 33.72 34.85 34.95 35.60 36.77 36.92 37.01 37.10 37.33 37.45 37.45 37.45 37.45 37.59 37.73 37.16 37.02 37.45 37.45 37.79 37.10 36.52 36.92 36.84 36.84 36.25 36.18 36.07 34.81 34.20 33.61 33.00 32.41 31.23 30.64 30.05 28.87 28.28 28.28 28.28 28.29 27.72 27.80 28.50 29.17 29.26 30.05 31.58 33.36 34.85 36.90 39.39 41.16 43.26 45.11 46.43 47.99 48.77 47.99 49.30 50.38 49.36 49.36 48.59 46.83 46.22 45.66 44.03 41.74 40.80 40.01 38.01 37.29 35.99 34.77 33.61 32.60 32.67 31.20 30.44 30.20 29.11 28.73 29.02 28.44 27.70 27.94 28.38 28.77 29.53 30.10 30.37 32.02 35.08 37.20 38.90 42.04 44.08 45.65 47.17 47.17 47.17 45.89 44.04 41.49 38.17 34.89 30.64 25.58 21.67 19.59 20.35 23.10 28.00 20.66 +14.01 25.03 23.21 21.45 20.32 18.03 16.67 15.37 14.14 13.02 12.02 12.02 11.18 11.18 11.18 10.54 10.29 10.44 10.62 10.62 10.29 10.17 10.67 10.67 10.67 11.20 11.92 12.02 12.02 13.44 13.60 13.24 15.56 16.09 16.34 17.40 18.20 18.72 18.45 17.92 17.40 17.40 16.60 15.81 14.49 13.18 12.15 9.88 8.01 6.01 4.71 4.12 2.43 1.77 2.95 3.33 5.00 6.26 6.37 7.68 8.99 10.02 10.54 11.86 12.39 12.65 13.45 14.24 15.32 16.09 17.41 17.95 17.95 18.49 20.35 21.67 21.67 22.44 23.21 23.75 24.84 26.93 26.93 26.70 27.80 27.80 28.01 27.80 28.35 29.11 29.11 28.35 28.35 28.35 27.59 27.59 27.59 27.59 27.80 27.25 27.04 27.04 27.25 27.25 25.93 26.93 27.16 26.63 26.63 26.09 26.09 25.07 23.75 22.44 21.12 19.04 16.59 14.45 11.26 8.33 6.90 5.56 8.27 10.87 14.55 17.66 20.62 23.22 25.22 26.87 28.53 30.18 30.18 30.18 30.56 30.49 29.61 27.92 26.67 26.67 25.00 22.92 21.73 20.62 18.63 17.00 17.00 15.87 14.24 12.87 12.02 12.02 10.67 8.92 9.15 9.88 10.29 10.54 9.81 9.32 10.02 10.54 10.54 11.07 11.93 12.15 13.02 13.60 14.74 15.37 14.92 15.72 16.44 17.01 16.87 16.30 15.72 15.15 13.29 12.02 11.44 9.59 7.68 5.92 3.95 3.33 3.73 4.71 5.43 6.59 6.87 7.68 8.84 9.59 11.67 11.67 11.67 13.33 12.92 12.98 13.44 13.44 13.81 14.19 13.81 14.26 15.09 14.26 14.26 15.09 14.26 13.44 13.44 14.26 14.26 13.91 14.06 14.06 14.73 14.73 15.69 17.00 17.00 17.33 18.50 19.80 20.28 21.45 23.01 23.39 23.78 24.18 25.01 24.59 23.33 24.59 23.78 22.18 21.45 20.28 19.94 18.49 15.81 14.24 13.24 12.15 10.67 9.43 8.92 9.15 9.22 10.03 11.26 11.70 12.26 13.24 13.74 14.49 15.56 16.41 17.33 17.73 18.83 19.94 20.69 21.80 22.36 22.55 23.31 23.86 23.53 23.53 23.86 23.31 22.76 22.98 22.98 22.55 21.45 20.90 20.90 20.69 20.32 18.63 17.89 18.30 17.73 17.58 17.45 16.76 16.67 16.67 16.67 16.59 16.51 16.50 16.50 16.50 17.10 17.72 18.94 19.48 19.45 20.63 21.25 21.22 21.80 22.99 23.10 23.25 23.93 23.72 24.61 25.73 25.83 26.39 26.80 27.24 28.38 29.59 30.42 31.71 32.98 33.81 34.71 35.54 36.37 36.70 36.67 36.67 37.10 38.03 38.10 37.48 37.92 38.60 38.30 37.72 37.16 36.63 35.60 34.59 34.36 33.81 31.96 30.21 29.26 27.59 25.93 24.62 22.92 20.88 19.02 17.58 15.72 13.87 13.02 11.20 8.86 7.86 6.59 5.43 5.43 5.27 6.01 6.48 6.15 6.87 8.37 9.59 10.42 11.44 12.65 14.24 15.87 17.16 19.08 20.76 21.93 23.69 26.03 27.80 28.38 29.52 31.25 31.87 33.08 33.77 34.36 34.95 35.08 35.75 35.94 36.06 36.06 36.06 36.06 36.06 35.60 35.60 35.48 34.79 34.68 34.68 35.75 36.33 35.67 35.48 34.89 34.89 34.85 34.22 34.77 34.77 33.59 33.00 33.00 33.00 32.41 31.23 30.64 30.05 28.87 28.29 27.72 27.75 27.80 27.85 28.44 29.67 30.42 30.62 32.30 33.92 34.49 37.27 40.28 41.80 43.33 44.88 46.43 47.74 48.82 48.59 49.36 50.14 49.13 49.24 49.39 47.70 46.23 45.33 44.30 42.06 40.69 39.92 38.46 37.75 37.13 35.95 34.30 33.33 33.42 32.73 32.06 31.68 30.64 30.05 30.42 30.56 30.18 30.01 30.49 31.24 31.43 31.90 33.38 35.45 37.10 38.52 40.70 44.23 45.51 46.92 48.44 47.96 48.07 46.70 44.76 42.25 39.11 35.40 30.69 26.46 22.68 20.02 20.69 23.64 29.36 21.22 +14.34 24.78 23.21 20.69 19.59 18.03 16.67 15.37 14.14 13.02 12.02 12.02 11.18 11.18 11.18 10.54 10.62 10.44 10.07 10.29 10.17 10.17 10.67 10.62 10.02 10.67 12.02 12.02 12.02 13.44 14.35 14.01 15.02 15.81 16.60 17.40 18.20 18.20 18.20 18.20 17.40 17.40 16.60 15.81 15.02 13.46 11.93 10.62 8.76 6.01 4.75 4.17 3.17 2.95 2.36 2.95 5.00 5.43 5.56 7.68 8.50 9.32 9.81 10.54 12.39 13.18 12.92 13.46 15.02 15.56 16.64 17.95 17.95 17.95 19.27 21.12 21.67 22.21 23.53 23.75 23.99 26.09 26.39 25.93 27.25 28.01 27.80 27.80 28.24 28.48 28.24 27.80 28.35 28.35 27.59 27.80 27.25 27.25 28.01 27.25 26.48 27.25 27.25 27.25 26.93 26.63 27.41 26.63 26.63 26.88 25.56 24.78 23.99 22.68 21.36 18.83 16.44 15.15 11.92 8.33 7.45 6.26 8.27 11.01 14.55 17.66 20.03 22.74 25.01 26.52 28.53 30.18 30.18 30.18 29.73 29.66 29.21 27.55 26.28 25.83 24.62 22.56 20.90 19.69 18.15 17.00 16.68 15.29 13.46 11.93 11.01 11.44 10.62 9.01 8.58 8.76 8.98 9.22 9.50 8.99 8.99 10.02 10.54 10.54 11.18 12.02 13.02 12.98 13.57 15.50 15.60 15.72 16.44 16.44 16.44 16.59 15.47 14.91 13.60 11.74 11.18 9.72 7.68 6.51 5.03 3.77 3.73 4.12 4.29 6.07 6.87 7.68 8.50 9.32 11.32 11.26 11.67 13.33 12.09 12.15 13.44 13.44 14.64 14.59 13.33 13.76 15.02 14.59 13.76 14.64 14.64 13.76 13.33 13.76 13.81 13.44 13.44 14.26 15.09 14.26 15.09 16.38 16.85 18.04 18.41 19.24 20.07 21.73 23.39 23.39 24.22 24.62 25.01 25.01 23.75 25.00 24.59 22.95 21.73 20.52 20.16 18.50 15.69 14.25 13.71 11.93 10.29 9.45 9.45 9.59 9.52 9.81 10.49 11.26 11.79 12.26 13.24 14.25 15.29 16.64 17.73 17.95 18.49 19.59 20.14 20.69 21.80 22.21 22.98 23.86 23.31 22.55 22.36 22.36 22.21 22.44 22.55 22.36 21.80 20.69 19.94 19.59 19.44 18.87 17.73 17.58 17.45 16.76 16.67 16.59 15.95 15.37 15.37 15.91 15.92 15.92 15.92 15.92 16.54 17.13 18.30 18.87 18.86 20.07 20.66 20.62 21.22 21.87 22.58 22.77 23.58 24.04 24.42 25.07 25.87 26.98 27.47 28.38 29.59 30.42 31.71 33.05 33.88 34.71 35.61 36.44 36.82 37.14 37.92 38.33 38.75 39.64 39.85 39.25 39.06 39.41 39.62 39.83 39.80 39.02 37.99 37.45 37.22 36.22 34.69 33.18 31.87 30.76 28.90 26.65 25.01 23.15 21.45 20.72 19.30 16.76 15.42 14.78 13.02 11.79 10.67 8.44 7.12 6.37 6.67 5.56 4.29 4.71 5.59 6.87 7.93 8.84 10.02 11.07 12.49 14.45 16.67 19.00 20.76 21.93 23.64 25.37 26.54 27.72 29.49 30.69 31.32 31.96 33.13 33.77 33.92 34.59 34.68 34.68 34.68 34.68 34.68 34.68 34.10 33.52 34.10 34.59 33.92 33.33 33.84 34.36 34.89 35.43 34.85 34.22 34.18 33.59 33.59 34.77 34.18 33.00 33.00 32.43 31.84 31.25 30.06 30.06 29.47 28.90 28.34 27.75 28.38 28.38 28.44 29.17 30.52 31.32 32.73 34.73 34.89 37.27 40.28 41.59 43.66 45.19 46.51 47.60 48.91 48.91 49.46 50.56 49.59 48.83 48.45 48.09 46.79 44.60 43.46 42.43 41.67 40.35 38.37 37.72 37.72 37.20 35.67 34.68 34.32 33.59 32.80 32.83 33.21 32.45 31.55 31.72 31.84 31.68 32.22 32.88 32.86 34.00 36.00 37.09 38.03 40.42 42.57 44.78 46.02 47.91 48.68 48.25 48.44 46.60 44.08 42.17 39.00 34.77 30.73 26.73 22.67 20.52 21.80 24.78 30.62 22.42 +15.42 25.07 23.31 20.88 19.44 18.03 16.67 15.37 14.15 13.67 12.60 12.02 11.18 11.18 11.18 10.29 10.44 10.44 9.88 10.17 10.17 10.17 10.67 11.20 10.62 10.67 12.02 12.02 12.15 13.24 14.24 14.24 15.02 15.81 16.60 17.40 18.20 18.49 17.99 17.69 17.40 17.40 16.88 15.57 14.49 13.71 11.86 10.54 8.98 6.01 5.43 4.17 2.64 2.12 1.86 3.00 4.75 4.60 5.00 7.10 8.01 9.32 9.32 9.32 11.44 12.13 12.39 13.18 14.24 15.32 16.09 17.41 17.95 17.95 18.49 20.35 21.67 21.67 22.98 24.30 24.53 25.31 25.61 25.39 26.93 27.70 26.93 27.70 28.48 28.24 27.80 27.80 28.24 27.47 27.25 28.24 26.93 26.93 27.47 27.25 26.70 26.93 27.16 26.63 27.41 26.63 27.16 27.16 26.63 27.41 26.09 24.78 23.99 23.21 21.67 18.83 16.21 14.73 12.50 8.92 7.45 6.67 8.27 11.58 14.55 17.13 19.81 22.24 24.68 26.31 28.29 29.82 29.73 29.66 29.21 29.21 29.21 27.55 25.45 24.17 23.78 22.56 20.90 18.87 17.33 17.00 15.87 14.49 13.46 11.93 10.29 10.67 10.62 9.59 8.44 7.66 8.44 8.70 8.99 9.50 8.99 8.99 10.02 10.29 10.44 11.44 13.02 13.55 13.57 15.42 16.67 16.76 17.01 16.59 16.03 16.77 16.21 14.91 14.35 12.49 11.18 9.72 7.68 6.51 5.43 3.95 3.17 2.95 4.29 6.35 6.59 7.68 8.50 9.32 10.49 10.42 11.67 13.33 11.67 11.67 13.33 13.76 15.02 14.59 13.33 13.76 15.02 14.59 13.33 14.17 15.00 14.17 13.33 13.33 13.33 13.33 13.33 13.76 14.64 14.64 15.02 15.47 16.75 18.04 18.50 19.69 20.07 21.73 23.39 23.39 24.22 25.06 25.06 25.45 24.59 25.00 25.00 23.33 22.09 21.29 20.07 18.41 16.38 15.37 14.49 11.93 11.01 10.09 9.43 9.45 9.15 8.70 8.99 10.03 11.32 12.15 13.08 13.74 14.25 15.81 17.41 17.95 17.95 18.49 19.59 20.35 21.45 21.67 21.67 22.36 22.36 22.36 22.36 22.36 21.45 20.69 20.88 20.88 20.88 20.32 19.59 19.44 19.30 18.61 17.45 16.76 16.59 15.95 15.37 15.92 15.91 14.73 14.14 15.37 15.37 15.37 15.37 15.37 15.95 16.51 17.72 17.72 17.72 18.94 19.48 19.45 20.70 21.34 21.42 21.73 22.75 23.86 24.84 25.03 25.17 26.31 27.70 28.75 29.59 30.44 31.84 33.13 33.96 34.79 35.71 36.54 36.82 37.20 38.37 39.59 40.00 40.03 40.31 40.55 40.70 40.73 40.13 39.83 40.32 40.87 40.62 39.55 39.07 38.41 37.10 36.35 35.04 33.18 31.68 30.20 28.90 27.60 25.17 23.15 22.19 20.34 18.50 17.25 16.01 14.74 13.57 11.92 9.59 8.44 8.98 6.87 5.00 4.75 4.29 4.71 4.75 5.43 6.87 8.44 9.88 12.02 14.25 16.01 18.35 20.07 21.22 22.98 24.17 25.95 27.72 28.90 29.52 30.14 31.32 31.96 32.02 32.02 32.02 32.02 32.09 32.75 33.33 33.33 33.33 32.84 32.84 33.84 33.84 33.26 33.13 33.08 33.63 34.20 34.20 34.20 34.77 34.18 33.00 33.63 33.63 32.43 32.46 32.49 31.32 30.73 29.49 29.49 29.52 28.93 28.93 28.34 28.38 28.38 29.02 29.75 30.52 31.90 32.60 34.59 36.02 37.65 40.44 41.74 44.00 45.31 46.42 47.73 49.24 49.24 49.04 50.14 49.94 49.19 47.53 47.76 48.02 45.77 43.59 42.76 42.69 41.40 38.91 37.72 37.75 37.29 36.42 36.06 35.16 34.49 34.49 34.28 34.53 34.28 33.18 33.23 33.50 33.75 34.33 34.53 35.30 36.89 37.53 38.01 39.59 41.75 43.21 44.82 47.16 49.00 49.04 49.13 48.68 46.92 45.03 43.16 38.91 34.20 30.78 26.31 22.74 21.45 22.92 26.54 32.26 23.69 +15.02 24.53 22.55 20.88 19.44 18.03 16.67 15.37 13.60 13.67 13.08 12.02 11.01 10.44 10.44 9.88 9.72 9.59 9.01 9.59 10.09 9.45 9.45 10.17 10.17 10.29 11.18 11.18 12.15 13.45 13.74 13.74 14.25 15.57 16.68 17.00 17.49 18.80 18.30 17.00 17.00 17.00 16.68 15.57 14.25 13.45 12.39 10.83 9.32 6.59 6.01 4.71 3.17 2.43 1.86 3.00 3.95 3.77 5.00 6.67 7.10 8.50 9.50 9.81 10.62 10.82 11.86 12.92 13.46 15.02 15.56 16.64 17.95 17.95 17.95 19.51 21.08 21.08 21.61 23.46 24.53 24.84 25.39 25.61 26.63 27.41 26.63 27.16 28.48 27.70 26.93 27.70 28.48 26.93 26.93 28.48 26.93 26.93 26.93 26.93 27.16 26.63 27.41 26.63 27.16 27.16 26.63 27.41 26.88 26.88 26.63 25.31 23.99 23.21 21.67 19.38 17.33 14.58 12.50 9.45 7.45 6.67 8.33 11.44 14.55 16.87 19.52 22.24 24.68 26.31 27.47 28.99 28.90 28.83 29.21 29.21 28.78 27.09 25.00 23.33 22.92 21.73 20.62 18.63 17.00 16.68 15.29 14.24 13.24 12.15 10.67 10.02 10.03 9.50 9.15 8.70 8.70 8.70 8.50 8.99 9.50 8.99 8.70 9.32 9.72 10.17 11.80 13.55 14.15 14.92 15.72 16.44 17.16 17.16 16.59 16.97 16.41 14.91 14.91 13.44 12.02 10.75 8.33 5.92 4.71 3.73 2.95 3.00 4.86 5.80 6.07 7.68 8.50 8.84 9.59 10.42 11.70 12.92 12.09 12.15 13.44 14.26 14.64 13.76 13.76 14.64 14.64 13.76 13.76 14.64 14.64 13.76 13.33 13.33 13.33 13.33 13.33 13.33 13.76 15.02 15.02 15.02 16.69 17.13 18.41 20.07 20.07 21.73 23.39 23.39 24.22 25.06 25.45 25.85 25.01 25.42 25.00 23.33 22.92 21.68 20.02 18.79 17.21 16.51 15.06 12.15 11.18 10.29 9.45 9.43 8.92 8.98 10.02 10.14 10.42 11.26 12.15 13.24 13.74 14.25 15.81 17.41 18.19 18.98 20.04 20.58 20.90 20.90 20.90 21.80 22.36 22.36 22.36 22.36 21.80 21.06 20.88 20.72 20.01 19.44 19.30 18.61 18.42 17.77 16.67 16.59 16.51 15.91 14.73 14.73 15.92 15.33 14.15 14.84 14.78 15.37 15.37 15.37 15.37 15.37 16.67 16.59 17.13 18.30 18.86 18.94 19.59 20.83 21.73 22.18 22.36 22.21 23.21 24.27 25.01 26.05 27.55 28.75 30.05 31.32 32.41 33.23 34.06 35.36 36.65 37.48 38.10 38.48 38.86 39.60 40.00 40.03 40.68 41.37 41.52 42.35 42.76 41.67 40.85 40.87 41.16 40.62 40.16 40.07 38.77 37.46 36.71 35.40 34.10 33.36 32.06 30.60 28.58 26.15 25.31 24.04 22.09 19.59 17.72 16.51 15.91 15.37 12.39 10.67 11.01 9.32 7.12 5.56 4.60 4.60 3.00 2.95 3.77 5.27 7.45 9.59 11.80 13.02 15.37 18.27 19.45 21.21 22.40 23.58 25.34 27.11 27.72 28.34 29.49 29.52 30.14 30.73 30.73 30.78 30.92 31.50 32.02 32.02 32.02 31.43 30.78 31.32 31.96 32.49 32.43 31.84 32.41 33.00 33.00 32.43 33.05 33.63 33.05 33.08 33.08 32.49 31.91 32.54 31.96 30.73 29.52 28.93 29.56 28.93 28.93 28.97 28.38 28.38 29.02 30.33 31.00 32.36 33.17 34.01 36.02 38.04 40.07 42.11 44.35 44.91 46.22 47.73 49.04 49.39 49.01 50.31 50.31 49.22 48.17 47.31 47.62 46.70 44.00 42.69 42.63 41.90 40.07 38.37 38.46 38.01 36.52 36.18 36.02 35.60 35.67 35.32 34.80 35.08 35.14 35.61 35.99 35.83 35.99 36.18 37.10 38.48 38.77 39.52 41.04 42.64 45.10 46.73 48.33 49.53 49.55 49.59 49.04 47.86 46.06 43.05 38.31 34.30 31.00 26.09 22.55 21.92 24.04 27.70 32.94 23.69 +14.92 24.07 22.36 20.88 19.44 18.03 16.67 15.37 12.98 12.39 12.43 12.02 11.44 10.29 9.72 9.72 9.59 9.50 9.01 8.92 9.43 9.45 9.59 9.72 9.88 10.29 10.54 10.54 12.13 13.74 13.74 13.74 14.06 15.21 16.51 17.00 17.00 18.63 18.63 17.00 17.00 17.00 15.87 15.57 15.06 12.65 12.15 11.18 9.72 7.75 6.59 4.75 3.00 3.17 2.95 2.95 3.17 3.44 5.07 6.26 6.67 7.10 8.50 10.02 10.54 10.54 11.07 12.39 13.45 14.25 14.49 15.56 17.41 17.95 17.95 19.51 20.82 21.12 21.90 22.93 23.46 23.99 24.78 25.56 26.35 26.88 26.63 26.63 27.94 27.94 26.88 26.88 27.94 27.16 26.63 27.94 26.93 26.93 27.16 26.63 27.41 26.63 27.16 27.16 26.63 27.41 26.88 26.88 27.41 26.88 26.35 25.56 23.99 23.21 21.67 19.38 17.89 15.15 12.50 10.03 8.01 6.67 8.33 10.75 14.01 16.60 19.00 22.24 24.19 25.69 26.87 28.07 28.44 28.44 28.83 28.78 27.92 26.67 25.00 22.92 22.12 20.90 19.69 18.15 17.00 15.87 14.49 14.01 13.04 11.58 10.09 9.43 9.43 8.92 8.76 8.44 7.91 8.19 8.50 8.50 8.99 9.50 9.22 9.52 10.44 10.75 11.21 12.39 13.67 15.02 15.87 16.03 16.77 16.77 16.77 17.73 16.41 14.91 14.91 13.60 11.74 10.44 9.01 7.10 5.34 4.49 3.77 3.73 4.75 5.59 6.35 7.38 8.50 8.50 9.32 10.96 11.79 12.15 12.53 12.98 13.44 13.81 13.76 13.76 14.64 14.64 14.19 13.81 14.26 14.64 14.19 13.81 13.44 13.44 12.98 12.92 13.33 13.33 13.33 14.59 15.02 15.42 16.26 16.69 18.35 19.62 20.07 21.73 23.39 23.39 24.22 25.06 25.89 25.89 25.45 25.85 25.01 23.75 23.33 22.09 20.45 19.69 18.15 16.51 15.21 12.94 11.38 11.01 10.09 9.43 9.45 9.72 10.29 10.14 10.42 11.26 12.09 13.08 14.06 14.87 15.87 17.13 17.92 18.72 19.51 19.81 20.35 20.90 20.69 20.69 21.80 22.36 22.36 22.36 22.18 21.45 20.88 21.16 20.45 19.30 19.08 18.42 18.30 17.72 16.59 16.50 15.92 15.92 15.33 14.15 14.84 14.84 14.25 14.25 14.19 14.84 14.84 14.84 14.84 14.84 16.01 16.51 17.09 18.27 18.30 18.42 19.08 19.88 20.72 21.06 22.00 22.68 23.47 24.68 25.69 26.33 27.50 29.21 30.56 31.84 33.36 34.18 35.00 35.96 36.78 37.61 38.66 39.76 40.14 40.03 40.00 40.03 40.59 41.72 42.00 41.85 42.47 42.43 42.16 42.18 41.70 40.93 40.49 40.44 39.69 38.57 37.83 37.09 35.78 34.49 33.59 32.16 30.87 29.15 27.74 26.35 25.00 23.17 21.34 19.53 18.30 18.27 15.91 13.57 13.02 12.43 10.67 8.44 6.35 5.27 4.25 1.86 2.12 3.33 5.03 7.10 9.43 10.62 12.39 15.91 18.27 19.45 20.62 21.80 22.99 25.34 26.52 26.52 27.70 28.34 28.93 29.52 30.14 30.20 29.67 30.20 30.73 30.73 30.73 30.73 30.73 30.73 30.69 31.23 31.24 30.64 31.24 31.84 32.49 31.96 31.37 32.02 32.02 32.02 32.02 32.02 31.43 31.50 31.43 30.73 30.14 28.97 28.97 28.93 28.97 29.02 28.38 28.44 28.58 29.26 30.52 31.90 33.17 34.45 35.87 38.04 39.51 41.55 44.16 44.72 46.03 47.89 49.01 49.39 49.22 50.51 50.91 49.16 48.89 48.07 47.28 47.09 45.03 43.75 43.08 42.43 41.90 40.28 39.18 38.75 37.91 37.16 37.27 37.31 36.68 36.37 36.40 36.48 36.65 36.82 37.20 37.50 37.65 38.30 39.23 39.55 39.80 41.59 43.24 44.30 46.42 47.38 48.41 50.09 50.10 49.53 48.96 47.20 45.43 42.43 38.37 35.08 31.45 26.93 23.57 22.40 24.45 28.88 33.75 23.01 +15.37 23.86 22.36 20.88 19.44 18.03 16.67 15.37 13.55 12.39 11.84 11.26 10.67 10.17 9.72 9.59 9.45 8.86 8.27 8.27 8.33 9.01 9.72 9.88 10.29 10.54 10.54 10.82 11.93 13.24 13.74 13.74 14.87 15.56 15.92 16.75 16.75 18.04 18.15 17.00 17.00 17.00 15.37 15.06 15.29 12.92 11.61 10.83 9.32 7.86 7.29 5.43 3.00 2.95 3.33 3.17 2.95 3.73 4.75 5.43 6.67 6.67 7.10 8.84 9.81 10.02 10.54 12.13 13.45 13.71 14.24 15.02 16.34 17.41 17.95 19.51 20.04 20.35 22.68 22.93 22.93 23.99 24.27 24.78 25.83 26.35 26.35 26.35 26.88 27.94 27.94 26.88 26.88 27.41 26.88 26.88 26.63 26.63 27.41 26.88 26.88 26.63 26.63 27.41 26.88 26.88 27.41 26.88 27.14 27.14 26.35 25.56 24.25 22.93 21.36 19.27 16.97 15.30 12.50 10.03 8.44 6.67 8.33 10.67 13.60 16.34 19.00 21.74 23.22 25.22 26.87 27.24 27.99 28.38 28.38 27.94 27.09 26.25 24.62 22.56 21.73 20.90 18.87 17.33 17.00 15.37 13.74 12.65 12.15 11.01 9.50 8.86 8.84 8.33 7.45 7.66 8.19 8.50 8.50 8.50 8.50 8.70 8.98 8.98 9.72 10.67 11.21 12.39 13.67 15.02 16.44 16.59 16.77 16.77 16.97 17.95 16.41 14.91 14.91 14.35 12.49 10.44 9.01 7.68 6.01 5.03 4.25 4.49 4.75 5.43 5.80 6.87 8.50 8.50 9.32 10.96 11.79 11.79 12.61 12.98 13.36 13.81 13.44 14.26 15.09 14.26 14.26 14.73 14.39 13.91 14.26 14.26 13.44 13.44 12.61 12.61 12.98 12.92 13.33 14.17 15.00 15.42 15.47 16.75 18.41 19.24 20.07 21.73 23.39 23.39 24.22 25.06 25.89 25.89 25.89 25.89 25.45 24.59 23.33 22.92 21.29 20.07 18.41 15.92 15.56 14.55 12.15 11.18 10.29 10.03 10.62 10.17 9.32 8.99 10.14 11.79 12.92 13.44 13.91 14.73 15.37 16.08 16.88 17.40 17.95 18.49 19.27 20.35 21.25 20.69 20.50 20.88 20.88 20.88 21.29 21.16 19.88 19.67 19.67 19.00 18.30 17.72 18.28 17.69 16.50 16.59 15.37 15.37 15.42 14.25 14.34 14.34 14.34 13.67 13.67 14.34 14.34 14.34 14.34 14.25 14.74 15.92 15.92 16.50 17.13 17.25 17.92 18.15 19.02 20.14 21.36 22.40 22.74 23.57 25.12 26.28 27.11 28.07 28.99 30.41 32.36 33.99 35.14 36.12 36.94 37.27 37.61 38.66 39.76 40.03 40.00 40.44 40.97 41.25 42.00 42.35 42.47 43.23 43.48 43.26 42.79 42.02 41.59 41.74 41.74 40.99 39.51 38.04 36.75 35.61 35.16 33.88 32.73 31.45 30.05 28.67 27.42 26.25 25.00 23.10 20.70 20.04 18.86 16.50 14.73 14.15 13.02 11.33 9.01 6.59 6.15 3.73 1.67 1.77 2.43 4.71 7.07 8.84 10.02 12.39 15.37 17.10 18.86 20.62 21.21 22.39 24.75 25.93 26.54 27.13 27.72 28.34 28.93 28.93 28.38 28.93 29.49 29.52 30.10 30.08 29.49 29.49 30.05 30.69 30.08 30.06 30.73 30.26 30.92 31.50 30.92 31.00 31.00 31.00 31.00 31.00 31.00 31.00 30.33 29.67 29.67 29.09 27.85 27.85 28.50 28.44 28.38 29.02 29.67 29.75 30.52 31.78 33.05 34.32 36.31 38.45 39.74 41.77 43.80 44.93 46.23 47.53 48.65 49.22 49.22 49.62 50.45 49.47 48.65 48.54 47.18 46.34 45.51 44.82 44.19 43.05 41.99 41.52 40.50 39.64 39.44 38.95 38.41 38.08 37.70 37.72 38.01 37.60 37.01 37.20 38.37 39.17 39.31 40.07 40.86 41.44 42.16 43.66 44.72 45.33 47.28 48.68 49.13 50.71 50.68 49.50 48.33 46.57 45.39 41.84 37.83 34.59 30.60 26.35 23.84 23.05 24.73 29.52 35.16 23.58 +15.37 23.86 22.36 20.88 19.44 18.03 16.67 15.37 14.14 12.98 11.80 11.21 10.67 10.17 9.59 9.45 9.43 8.84 8.27 8.33 8.44 8.58 9.32 10.29 10.54 10.54 10.82 11.44 11.79 12.61 13.44 13.44 15.09 16.30 15.86 16.30 16.75 17.21 17.33 17.00 17.00 17.00 15.37 14.25 14.49 13.71 11.86 10.54 8.98 7.45 7.29 6.51 4.29 2.95 2.12 1.86 2.36 3.17 4.25 5.07 6.26 6.67 6.67 7.93 8.84 9.32 10.14 11.44 12.13 12.92 14.24 15.02 15.81 16.60 17.40 18.72 19.24 19.24 22.15 22.67 22.67 23.99 24.25 24.78 25.56 26.35 26.35 26.35 26.35 27.14 27.67 27.41 26.88 26.88 27.41 26.88 26.35 26.35 26.88 27.41 26.88 26.35 26.35 26.88 27.41 26.88 27.14 27.14 27.14 27.14 26.35 25.83 24.51 22.93 21.36 19.81 16.97 14.91 12.02 9.43 8.33 6.67 7.75 9.59 12.69 15.81 19.00 20.92 22.40 24.76 26.33 26.72 27.55 28.38 27.94 27.09 26.67 25.42 23.78 22.56 21.35 20.62 18.63 17.00 16.68 15.29 14.24 12.69 11.74 10.75 10.09 8.86 8.27 8.33 7.66 8.19 8.50 8.50 8.50 8.50 8.50 8.70 8.98 8.98 9.72 10.67 11.21 12.39 13.76 14.73 15.47 16.77 16.77 16.77 17.73 17.95 16.41 15.10 14.78 14.01 13.04 11.01 9.01 7.68 5.92 4.86 4.60 4.75 4.29 4.75 5.59 7.12 8.19 8.50 9.32 10.96 11.79 11.79 12.61 12.61 13.44 14.26 13.91 14.39 14.73 14.73 14.39 14.73 14.73 14.06 14.06 13.91 13.44 13.44 12.61 12.61 12.61 12.61 13.44 14.26 14.64 14.17 15.02 16.69 18.35 19.18 19.62 21.73 23.39 23.39 24.22 25.06 25.89 25.89 25.89 26.28 25.85 25.01 23.75 23.33 21.67 20.00 18.75 16.75 16.03 15.21 12.94 11.38 11.01 11.33 11.20 10.17 9.32 9.75 10.82 11.12 11.32 12.15 12.98 13.81 14.87 15.87 16.68 17.40 17.95 17.95 17.95 18.49 19.94 20.50 20.50 20.88 20.72 20.01 19.88 20.34 20.25 19.59 18.94 18.87 18.27 17.09 17.10 17.13 16.59 16.67 15.42 14.84 15.50 14.92 14.34 14.34 14.34 13.76 13.18 13.87 13.87 13.76 14.25 14.15 14.14 15.33 15.91 15.95 16.59 16.67 16.76 17.16 18.28 19.27 19.76 20.83 21.74 22.18 23.35 25.00 26.33 27.34 28.77 30.73 32.24 33.05 34.17 35.98 37.10 37.75 38.57 38.77 39.02 39.64 40.00 40.42 40.97 40.90 41.03 42.35 43.27 43.50 43.75 43.56 43.33 43.11 42.69 42.49 42.30 41.94 41.20 40.47 39.34 37.88 36.75 35.16 34.59 33.75 32.36 31.00 29.26 28.09 27.34 26.03 23.69 22.42 21.22 19.48 17.72 16.50 15.37 13.60 11.80 9.43 8.27 6.51 4.17 2.43 0.00 2.36 4.71 7.07 8.84 10.62 13.02 14.74 16.50 18.86 20.62 21.21 22.39 24.17 25.34 25.93 26.54 27.13 27.70 27.72 27.75 28.29 28.29 28.34 29.47 29.47 28.28 28.29 28.93 30.14 29.52 28.97 30.33 30.42 29.84 30.42 31.00 31.10 30.52 30.52 30.52 30.52 30.52 30.52 29.94 28.67 28.67 28.58 27.85 27.92 27.92 27.85 27.85 28.44 29.67 30.33 31.00 31.68 33.05 33.75 35.73 38.30 39.44 42.02 44.03 44.76 46.23 46.79 47.92 49.05 49.46 49.16 49.47 49.81 49.02 48.92 48.09 46.73 45.43 44.79 44.21 43.67 42.04 41.67 41.95 41.16 40.47 40.07 39.73 38.85 38.21 38.01 38.30 38.73 38.66 38.81 39.59 40.42 40.97 40.90 40.86 41.95 43.48 44.65 44.91 46.06 48.77 49.50 49.26 50.76 50.71 49.53 48.92 47.74 45.39 40.73 36.70 33.42 29.63 26.39 24.18 23.47 25.67 30.20 35.87 24.78 +15.37 23.86 22.36 20.88 19.44 18.03 16.67 15.37 14.14 13.55 12.37 11.21 10.67 10.09 9.45 9.43 9.45 8.92 8.33 8.33 9.15 8.98 8.99 10.14 10.14 10.14 10.96 11.79 12.15 12.92 13.33 13.33 15.00 16.67 15.42 15.47 16.75 16.75 16.75 16.75 16.75 16.38 14.87 14.06 13.57 13.24 12.13 10.54 8.98 7.45 6.59 6.48 5.43 3.73 2.43 2.43 3.00 2.95 4.49 4.75 5.43 6.67 6.67 7.10 8.37 9.20 9.66 10.62 11.12 11.93 13.24 14.25 15.57 16.37 16.88 17.92 19.24 19.52 21.12 22.15 22.67 23.19 23.46 24.78 25.83 26.10 25.83 26.35 26.62 26.90 26.62 27.14 27.14 26.35 26.88 27.41 26.88 26.35 26.35 26.88 27.41 26.88 26.35 26.35 27.14 27.14 27.14 27.14 27.14 27.42 26.10 25.83 24.78 23.46 21.36 19.81 17.73 14.91 12.15 8.86 7.75 6.26 6.59 9.01 12.15 15.06 18.63 20.28 21.92 23.93 25.50 26.72 27.55 27.94 27.09 26.67 26.25 24.62 23.39 22.18 20.62 20.28 18.63 16.68 16.08 15.02 14.01 12.87 12.02 10.67 10.67 9.43 8.44 9.15 8.70 8.19 7.68 7.68 7.68 8.01 8.50 8.70 8.98 8.98 9.72 10.67 11.20 11.92 13.29 15.15 15.87 16.77 16.77 16.97 17.95 17.95 16.41 15.87 15.56 13.46 12.69 11.18 9.01 7.75 5.92 4.29 4.17 3.77 3.73 4.71 6.01 7.45 7.66 8.70 10.02 10.82 11.44 11.79 12.61 13.08 13.57 13.91 14.26 14.73 14.39 14.73 14.73 14.39 14.73 14.73 14.06 13.74 13.74 13.24 12.26 12.61 12.61 12.61 13.44 13.81 13.76 13.33 15.00 16.67 17.92 18.79 19.24 21.73 23.01 23.47 24.67 25.06 25.89 25.89 25.89 26.72 25.89 25.06 24.22 23.39 22.12 20.42 19.59 17.96 15.92 15.56 14.55 12.15 11.74 12.15 10.67 9.45 9.72 11.18 11.86 11.93 11.79 12.09 12.92 13.76 14.73 15.69 16.18 16.60 17.41 18.19 18.73 18.49 18.83 19.94 20.50 20.88 21.16 20.45 19.76 19.59 19.53 19.48 18.87 18.86 18.86 18.28 17.18 16.67 16.67 16.67 16.08 14.92 15.02 15.15 13.87 13.87 13.87 13.87 13.29 13.29 13.76 13.60 14.19 13.57 13.55 14.73 15.33 15.42 16.08 16.76 17.16 17.73 17.95 18.19 19.00 20.43 21.92 22.95 23.75 25.06 26.87 28.77 30.24 31.43 32.45 33.26 34.57 35.89 36.48 37.10 37.92 38.43 38.66 38.86 39.59 40.00 40.14 40.55 40.55 41.35 42.47 42.43 42.72 43.33 43.33 43.45 43.05 42.30 41.94 41.77 41.60 40.88 39.74 39.31 38.48 36.44 35.73 35.37 34.00 32.75 31.00 29.26 29.09 28.44 26.68 25.40 23.64 21.87 20.07 18.87 18.27 16.50 14.14 11.79 10.03 8.33 5.92 4.12 2.36 0.00 2.36 4.71 7.07 9.43 11.80 12.98 14.14 16.51 18.28 20.04 20.63 21.21 23.57 24.76 25.34 25.93 26.52 26.54 27.13 28.28 27.70 27.11 28.31 28.90 28.29 28.34 28.38 29.02 29.09 28.58 29.26 30.52 29.94 29.36 30.05 30.74 30.17 29.59 29.59 29.59 29.59 29.59 29.47 28.67 28.67 28.00 27.34 28.00 27.34 27.34 27.34 27.34 28.67 29.26 30.42 31.68 32.94 34.21 35.60 37.59 38.87 40.88 43.47 44.60 46.31 47.31 48.59 49.16 49.47 49.92 49.23 49.02 49.42 49.26 48.49 47.82 45.97 45.39 44.85 44.34 43.42 42.64 42.76 41.87 40.81 40.28 40.49 40.62 40.07 39.62 39.73 40.21 40.31 40.03 40.00 40.44 41.42 42.07 42.49 43.27 44.54 45.65 46.07 47.35 48.89 49.12 50.00 50.89 50.17 49.55 48.96 46.61 43.08 39.64 36.92 33.75 29.45 26.17 24.18 23.99 26.68 31.43 36.31 25.37 +16.50 24.78 22.92 20.88 19.44 18.03 16.67 15.42 13.60 13.02 12.39 11.20 10.02 9.45 8.92 8.33 9.01 9.15 8.01 7.66 8.70 9.50 9.81 10.14 10.49 10.42 10.83 11.67 12.50 13.33 13.33 13.76 15.02 16.26 15.42 15.02 16.26 16.67 16.67 16.26 16.30 15.56 14.39 14.73 13.08 12.43 12.13 10.29 9.32 8.01 6.01 5.30 5.34 4.75 3.73 3.17 3.00 3.58 4.75 4.29 4.75 6.26 6.67 6.67 7.93 8.84 9.32 10.14 10.96 11.79 12.26 13.24 15.37 15.87 16.08 17.40 18.72 20.03 20.83 21.35 22.67 22.67 22.67 24.27 25.87 25.87 24.78 26.10 26.90 26.62 26.62 26.90 26.62 26.35 26.35 27.14 27.14 26.35 26.35 26.35 27.14 27.14 26.35 26.62 26.90 26.62 27.14 27.42 27.19 27.19 26.10 25.30 24.51 23.99 21.08 19.51 17.95 14.91 12.87 8.92 6.51 5.07 6.01 9.01 11.38 14.25 18.15 19.69 21.73 23.39 25.06 26.72 26.68 26.68 26.72 26.72 25.50 23.93 23.57 21.92 20.28 19.94 18.49 16.60 15.81 15.02 13.24 12.15 12.02 10.75 10.09 9.45 8.58 8.76 8.44 7.91 7.68 7.68 7.68 7.55 7.68 7.91 8.44 8.76 9.01 10.03 11.21 12.43 13.67 15.02 16.59 16.77 16.77 17.73 17.95 17.95 16.41 16.41 16.41 14.35 13.04 11.58 9.59 8.33 7.07 5.03 3.77 3.33 3.73 4.71 6.01 7.45 7.45 8.44 9.81 10.14 10.96 11.79 12.61 13.44 13.44 13.91 14.39 14.73 14.73 14.39 15.21 14.87 14.06 15.21 14.87 13.74 13.24 12.26 12.26 12.75 12.26 12.15 12.92 13.33 13.33 13.33 15.00 16.67 17.09 18.35 19.59 21.25 22.12 23.39 24.67 25.12 26.33 25.89 25.89 26.33 25.95 25.50 24.22 23.39 22.95 21.25 20.00 18.75 16.75 16.51 15.37 12.65 12.15 12.49 10.75 10.02 10.67 11.44 11.38 11.62 12.26 12.92 13.33 13.33 13.81 14.73 15.37 16.08 17.13 17.66 17.95 18.28 18.28 18.63 19.02 19.30 19.67 19.67 19.59 19.48 18.87 18.86 18.86 18.87 18.30 18.35 18.42 17.25 16.67 16.76 16.30 15.15 14.73 14.73 13.87 14.01 13.44 13.44 13.44 12.60 13.08 13.02 13.67 13.02 12.37 13.55 14.15 14.25 14.92 15.72 16.21 16.64 17.41 18.20 19.45 20.62 21.73 22.92 23.78 25.22 27.13 28.61 29.61 30.85 31.89 32.69 33.73 34.53 35.08 35.67 36.48 37.43 37.83 37.65 38.37 39.17 39.31 40.07 40.55 40.86 41.67 42.16 42.72 43.33 43.11 43.25 43.60 43.42 43.06 42.33 42.02 41.30 40.16 40.33 39.76 38.16 36.75 36.42 35.75 34.68 34.00 31.58 30.26 29.61 28.44 27.80 26.03 24.22 22.42 20.63 19.45 18.27 16.50 14.14 12.39 10.67 7.68 5.30 4.12 2.36 0.00 2.36 4.71 7.10 9.59 10.67 11.80 14.25 15.37 17.72 19.48 19.45 21.22 22.40 23.57 25.34 25.93 25.34 25.93 27.13 26.54 25.99 26.62 27.16 27.80 27.92 27.34 28.00 28.67 28.78 28.31 29.02 29.59 29.15 28.73 29.30 29.87 29.15 29.15 29.15 29.15 29.15 28.44 27.74 27.74 27.04 26.35 26.93 26.75 27.34 27.34 27.34 28.67 28.67 29.26 31.00 32.75 34.68 36.06 37.33 39.18 41.16 43.16 44.17 45.89 47.17 48.45 48.89 48.65 49.81 49.60 48.75 49.26 49.13 48.41 48.33 47.16 46.02 45.51 45.10 44.27 43.46 43.59 43.47 42.30 41.04 41.16 41.90 41.67 41.23 40.86 40.90 41.50 41.70 41.67 41.70 42.33 43.37 44.13 44.88 45.86 46.43 47.05 48.27 48.59 49.23 50.67 50.50 49.72 49.00 47.20 44.29 41.99 39.76 36.52 32.87 28.78 25.50 23.84 24.62 27.75 32.09 36.59 24.76 +16.50 25.53 23.67 20.88 19.44 18.03 16.76 15.60 13.76 12.60 11.33 10.67 10.09 9.59 9.15 8.01 8.01 9.32 8.98 8.19 8.50 9.32 10.14 10.49 11.26 10.83 11.26 12.15 12.61 13.44 13.44 14.26 15.09 15.47 15.86 15.47 15.47 16.26 16.67 15.42 15.47 15.09 14.26 14.73 12.43 12.13 12.13 9.52 9.32 8.58 6.51 5.30 4.71 4.75 4.49 3.33 3.00 3.54 3.58 3.73 4.49 5.56 6.26 6.67 7.10 8.37 9.59 9.59 10.49 11.79 11.79 12.61 14.73 14.87 15.37 17.00 17.49 19.30 20.62 20.62 21.93 22.44 22.74 23.55 25.37 25.87 24.27 25.87 26.39 26.10 26.90 26.62 26.62 26.10 26.10 26.90 26.62 26.35 26.35 26.62 26.90 26.62 26.62 26.90 26.62 26.62 27.19 27.49 27.49 26.39 26.10 25.58 24.27 24.27 21.35 19.24 17.66 14.55 12.87 10.09 7.10 5.07 5.43 8.01 10.54 13.74 17.33 18.87 21.29 22.92 25.00 26.25 25.45 25.89 26.72 26.33 24.76 23.57 23.57 21.92 20.28 19.12 17.69 16.60 15.56 15.10 13.60 11.74 11.01 10.87 9.45 8.92 8.44 7.45 7.45 7.38 7.68 7.68 8.01 8.01 7.68 8.19 8.70 9.32 9.72 10.67 11.79 12.39 13.76 14.73 16.21 16.77 16.97 17.95 17.95 17.95 16.64 16.09 15.87 14.91 13.60 11.74 9.72 8.33 7.07 5.43 3.95 3.33 3.73 4.71 5.43 6.59 7.38 7.91 8.99 10.14 10.96 11.79 12.61 13.44 13.44 14.26 14.73 14.39 15.21 14.87 14.87 15.21 14.06 14.87 15.21 13.57 12.26 12.26 12.75 12.26 11.79 11.79 12.61 12.98 12.92 13.33 15.00 16.67 16.67 17.92 19.62 20.90 21.73 23.01 24.30 25.12 26.41 26.41 26.33 25.89 25.89 25.89 24.62 23.75 23.33 21.67 20.00 19.59 18.41 16.85 15.21 13.74 12.92 12.69 11.01 10.67 11.20 10.67 10.29 10.29 10.82 11.79 12.92 13.33 13.76 14.26 14.87 15.87 16.60 16.87 17.18 17.73 18.08 17.73 17.58 18.50 19.00 18.94 18.87 18.86 18.86 18.86 18.87 18.94 18.42 17.92 18.03 17.45 16.30 16.44 16.59 15.47 14.91 14.01 13.87 14.73 13.44 13.29 13.76 13.08 12.50 12.43 13.60 13.57 12.39 13.02 14.25 14.34 14.45 14.73 15.10 15.81 17.40 18.30 18.87 20.07 21.25 22.09 23.01 24.19 25.37 26.39 27.94 30.05 31.36 32.15 33.21 34.00 34.53 35.08 35.89 36.48 36.65 37.27 38.03 38.33 38.86 39.95 40.21 39.73 40.35 41.37 41.94 42.79 43.45 43.05 42.86 43.24 43.47 42.74 42.59 42.45 41.30 41.61 41.03 39.76 38.37 37.68 37.68 36.52 35.75 34.50 32.67 31.43 30.26 29.61 28.38 26.62 25.40 23.58 21.22 20.04 18.86 16.50 14.73 13.55 11.21 8.33 6.51 4.71 2.36 0.00 2.43 5.03 7.29 8.86 10.62 13.02 14.15 15.92 18.28 18.86 20.04 21.22 21.81 23.01 24.19 24.17 24.78 26.03 26.03 26.03 26.03 26.09 26.84 27.51 26.93 27.04 27.74 28.58 28.17 27.44 28.73 29.63 28.33 28.33 28.90 28.73 28.73 28.73 28.73 28.58 28.58 27.30 27.16 27.04 26.35 26.25 26.17 26.84 26.75 27.34 28.58 29.09 29.67 30.33 31.68 33.63 35.37 37.10 39.06 41.03 42.89 43.46 44.74 46.47 48.07 49.12 49.02 49.50 49.85 49.72 49.67 49.59 48.92 48.32 47.76 46.64 45.62 45.25 44.38 43.46 43.16 43.24 43.80 43.33 42.43 42.16 41.67 41.54 42.00 42.43 43.08 43.37 43.33 43.80 44.45 44.67 45.43 46.49 46.91 46.67 47.05 48.45 49.05 49.47 50.09 50.00 49.92 48.61 46.73 44.44 42.17 39.33 35.60 32.06 28.20 25.22 23.57 24.61 28.29 32.75 37.88 25.93 +15.37 25.39 23.86 20.88 19.44 18.15 17.01 15.72 14.45 13.29 11.44 10.29 9.72 9.72 9.88 8.76 7.66 8.70 9.50 8.99 8.84 9.59 10.42 11.32 11.32 10.87 12.15 13.08 12.75 13.57 14.06 14.06 14.73 15.09 15.47 15.86 15.47 15.47 16.26 15.00 14.59 14.64 13.91 14.06 12.43 11.93 11.62 8.98 8.76 8.44 7.10 5.92 4.71 4.29 4.49 3.95 3.73 3.58 2.95 3.73 4.49 5.27 6.07 6.37 6.72 8.37 9.59 8.76 9.66 11.79 11.79 12.61 13.91 14.06 15.37 17.00 17.00 18.63 19.94 20.11 21.42 22.24 23.05 23.05 24.36 25.37 24.27 25.87 25.87 25.87 26.39 26.10 26.90 26.10 26.39 26.39 26.10 26.10 26.10 26.90 26.62 26.62 26.90 26.62 26.62 27.19 27.49 27.49 27.49 25.87 25.87 25.87 24.27 24.27 22.15 19.24 17.66 14.78 11.93 9.72 7.07 4.75 4.29 7.45 10.54 13.24 16.38 18.41 20.45 22.09 25.00 25.42 25.01 25.85 26.28 25.50 23.93 23.57 23.57 21.92 19.94 18.49 17.40 16.60 15.02 14.01 13.79 12.49 10.29 10.75 9.43 8.33 8.33 7.45 7.45 6.87 7.19 7.68 7.55 7.68 7.68 7.68 7.66 8.01 9.01 10.03 11.21 11.92 13.44 14.91 15.47 16.77 17.73 17.95 17.95 17.95 17.41 16.09 15.32 14.78 13.46 11.93 9.72 8.33 7.10 5.30 3.73 3.33 3.73 4.71 4.75 5.80 7.68 8.19 9.22 10.54 10.82 11.93 13.24 13.74 13.74 14.06 14.73 14.73 15.21 15.21 14.39 15.21 14.87 14.06 14.73 13.44 12.26 13.24 12.43 11.44 11.79 11.79 12.61 12.61 12.15 12.92 15.00 16.26 16.30 17.58 19.24 20.90 21.73 22.56 24.22 25.06 25.50 26.41 26.87 26.41 26.33 25.89 25.06 24.62 23.75 21.67 20.42 20.02 19.18 17.13 15.56 14.87 13.45 12.92 11.74 11.44 11.26 10.62 10.75 11.18 11.86 12.43 12.98 13.33 13.33 13.81 14.73 15.37 15.81 16.34 17.41 17.73 17.89 18.30 18.15 18.50 18.94 18.87 18.86 18.86 18.86 18.87 19.00 18.50 18.50 18.73 17.58 17.58 17.16 16.03 16.59 16.44 15.72 14.45 14.01 14.73 13.87 13.18 13.08 13.67 13.02 12.37 13.55 14.15 13.67 13.18 13.76 14.45 14.91 15.87 16.34 16.68 17.49 18.15 18.79 19.59 20.42 21.73 23.57 25.17 25.87 26.62 28.48 30.10 30.87 32.19 33.50 34.28 34.79 35.32 36.12 36.18 35.96 37.01 37.65 37.50 37.97 38.66 39.06 39.41 39.83 40.59 41.40 42.25 43.25 43.60 43.42 43.06 43.31 43.31 43.16 42.89 41.74 41.61 41.49 40.80 40.11 38.95 38.27 37.50 36.33 36.33 35.67 33.92 32.67 31.37 30.14 28.38 27.13 25.93 23.64 22.42 21.22 19.48 17.72 15.92 13.57 10.67 8.86 7.10 5.43 3.73 1.86 3.33 4.49 6.01 8.33 10.67 12.43 13.60 15.37 17.13 18.30 19.48 20.66 21.83 23.01 23.60 24.22 25.45 26.03 26.03 26.09 26.25 26.35 27.04 27.16 26.73 26.87 28.33 28.33 27.04 27.95 29.26 28.33 28.33 28.51 27.95 27.95 27.95 27.77 27.60 28.33 26.73 26.46 27.04 26.35 25.67 25.67 26.25 26.09 27.34 27.92 28.44 29.67 30.33 31.58 33.33 35.08 37.01 38.95 40.69 43.11 44.38 44.96 46.01 47.67 49.42 49.92 49.72 50.26 50.26 49.55 50.10 49.50 48.35 48.45 48.61 47.67 46.70 45.77 45.02 44.93 44.35 44.21 44.10 42.97 42.43 42.76 42.98 43.50 43.62 43.46 43.37 43.75 44.68 45.28 45.97 47.23 48.10 48.25 47.96 48.59 49.39 49.39 49.88 50.39 50.09 49.42 47.67 46.34 44.00 41.17 38.37 34.73 31.31 27.70 25.06 23.86 25.58 29.47 34.00 38.61 25.93 +15.37 25.39 23.86 21.06 19.19 18.08 16.77 15.30 14.73 13.44 12.02 11.44 10.29 9.88 10.29 8.98 8.44 8.99 9.32 9.66 9.59 10.42 11.32 11.32 10.87 11.79 13.24 13.24 12.26 13.44 14.73 14.06 14.06 15.21 15.21 15.56 15.92 14.64 15.42 15.00 13.76 13.81 13.44 13.08 12.75 11.93 10.82 8.98 8.01 7.86 7.17 6.51 5.34 4.49 4.49 4.75 4.75 3.95 3.73 4.71 4.75 5.59 6.35 5.80 6.87 8.01 8.76 8.33 8.76 11.32 11.79 12.61 13.44 13.44 14.73 16.51 17.00 18.63 19.12 19.30 21.42 22.24 22.74 23.24 24.05 24.56 24.56 25.67 25.37 25.87 25.87 25.87 26.39 26.10 26.90 26.10 26.39 25.87 25.87 26.39 26.10 27.19 26.39 26.10 27.19 27.49 27.49 27.49 27.49 25.87 25.87 26.17 24.36 23.55 22.15 19.76 17.92 15.29 11.86 8.98 6.01 3.73 3.73 6.90 10.31 12.75 15.56 17.96 20.02 21.68 24.17 25.01 25.01 25.45 25.50 24.76 23.57 23.57 23.22 21.74 19.81 18.20 17.40 16.60 15.02 13.46 13.24 12.87 10.67 10.67 9.43 8.33 8.33 7.45 7.66 7.68 7.55 7.68 7.19 7.19 7.68 7.38 7.45 7.45 8.33 9.43 10.67 12.02 13.44 14.91 14.91 16.41 17.95 17.95 17.95 17.95 17.95 16.41 15.87 15.56 13.24 12.30 10.29 8.33 7.68 6.51 5.03 3.77 3.73 4.71 4.71 6.01 7.66 8.19 9.32 10.14 10.62 11.93 13.08 13.44 13.44 13.91 14.39 15.21 15.21 15.21 14.87 15.37 15.37 13.74 14.06 13.57 13.24 13.24 11.93 11.12 11.44 11.79 12.15 12.53 11.70 12.09 15.00 15.42 15.47 17.58 19.24 20.52 21.81 23.01 23.84 25.12 25.50 25.50 26.41 26.87 26.87 26.41 25.50 25.06 24.22 22.12 21.25 20.42 19.18 17.96 16.85 15.37 14.25 14.24 12.87 12.60 12.43 11.80 11.92 12.15 12.15 12.13 12.26 12.92 13.33 13.76 14.26 14.55 15.29 15.81 16.09 16.59 16.44 17.01 18.03 18.42 18.87 18.86 18.86 18.86 18.87 19.00 19.18 18.50 18.61 19.44 18.15 17.73 17.89 16.59 16.03 15.87 15.72 15.15 14.58 14.45 14.34 13.67 13.02 13.60 13.57 12.39 12.98 13.60 13.76 13.87 14.01 14.73 14.78 15.81 16.88 17.00 17.33 18.41 19.59 20.00 20.45 21.92 23.86 25.37 26.39 27.67 29.33 30.42 31.19 32.28 33.05 33.81 34.28 35.32 36.37 36.18 36.12 36.78 36.82 36.67 37.10 38.19 39.39 40.54 41.15 41.37 41.65 42.02 42.69 43.80 44.72 44.93 44.60 44.03 44.45 44.88 44.17 42.76 42.06 42.06 42.06 41.37 40.01 39.33 38.27 37.59 37.42 35.67 34.36 33.13 31.96 30.73 29.52 28.34 26.03 24.81 23.64 21.87 20.07 18.28 15.92 13.02 11.26 9.59 7.86 6.01 3.44 2.36 2.50 3.73 6.15 7.86 10.17 11.92 13.02 15.42 16.59 17.72 19.48 20.70 21.29 22.52 23.17 23.75 25.00 25.00 25.77 25.89 25.89 26.73 26.87 26.87 27.04 27.95 27.95 27.39 27.59 28.14 27.95 28.14 28.35 27.59 27.59 27.39 27.21 27.39 27.39 25.58 25.44 26.01 25.77 25.67 25.58 26.09 26.03 27.27 27.85 27.85 29.09 30.26 31.37 33.13 35.01 36.92 38.67 40.42 42.92 44.67 45.75 46.34 46.92 48.68 49.72 49.59 50.76 51.32 50.09 50.68 50.71 49.67 49.19 48.75 48.44 48.19 48.02 47.35 46.58 45.86 45.19 44.88 44.54 44.59 44.97 44.95 44.67 44.82 45.12 45.03 45.43 45.95 46.11 46.92 47.73 48.10 48.53 49.02 50.14 50.56 50.50 50.91 50.88 50.39 49.02 47.28 46.01 43.69 40.91 37.59 33.92 30.64 27.30 25.00 24.56 26.73 30.64 35.37 39.34 25.93 +15.37 25.39 23.86 21.80 19.94 18.63 17.33 15.47 14.91 13.60 11.74 11.18 10.62 10.29 10.54 9.22 8.99 9.66 9.59 10.00 10.42 11.32 11.79 10.96 11.44 13.24 13.24 12.26 12.26 13.57 15.21 14.87 13.74 14.87 15.21 15.21 15.09 14.19 15.02 14.59 13.33 13.33 12.92 12.15 12.26 11.62 10.54 8.98 7.45 7.45 6.59 6.48 6.01 5.03 4.49 4.60 4.60 3.77 3.73 4.71 4.71 5.43 5.80 5.27 6.37 7.10 8.33 8.33 8.33 10.42 11.70 12.53 12.98 13.44 14.26 15.56 16.51 18.63 18.63 18.63 20.76 22.06 22.06 22.55 23.86 23.86 24.68 25.17 24.86 25.67 25.67 25.67 25.67 25.67 26.17 25.87 26.68 25.87 25.87 25.87 25.87 27.49 25.87 25.87 27.49 27.49 27.49 27.49 27.49 26.17 25.67 26.48 25.17 23.05 21.42 19.81 18.20 15.81 12.92 9.52 6.01 3.73 3.73 6.15 9.81 12.61 15.09 17.13 19.59 21.67 22.92 24.62 24.67 25.12 25.12 23.93 23.57 23.57 22.40 20.92 19.81 18.20 17.40 16.34 15.10 14.35 13.04 12.15 10.67 10.67 9.43 8.33 8.33 7.45 7.38 7.68 7.19 6.87 6.87 7.10 7.68 7.66 7.45 7.45 8.33 9.43 10.67 12.02 13.44 14.91 14.91 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45.89 45.19 44.38 43.69 43.69 43.11 41.95 41.67 40.42 39.33 39.25 38.01 36.77 35.60 34.36 33.13 31.43 29.67 27.85 26.62 25.45 23.69 21.34 19.00 16.67 14.84 13.02 10.29 8.21 5.80 3.77 2.95 2.43 4.25 5.80 7.66 8.76 10.44 12.87 14.01 15.72 17.34 18.50 19.88 21.29 21.29 21.87 23.88 24.61 24.61 25.34 26.09 26.09 26.28 26.48 27.25 27.25 27.25 27.25 27.25 28.01 27.80 27.59 27.59 26.84 26.84 27.39 27.04 26.87 25.44 25.31 25.77 25.00 25.00 24.27 24.81 26.03 25.99 27.13 28.29 29.47 31.25 31.84 32.43 34.22 36.02 37.79 40.77 43.16 43.75 44.34 46.10 47.20 48.35 49.53 50.09 50.68 51.28 51.32 51.39 50.95 50.58 51.34 51.20 50.88 50.45 49.22 49.01 49.39 48.59 47.99 47.96 47.73 47.29 47.23 47.74 47.86 47.23 47.17 47.92 48.40 48.89 49.88 50.09 50.17 50.53 50.43 50.61 50.87 50.99 50.56 50.87 50.91 49.62 48.59 47.17 44.88 42.59 39.51 36.90 34.36 30.92 28.38 26.87 26.35 28.31 33.00 38.27 42.02 27.72 +15.42 25.31 24.25 22.40 19.51 18.19 17.92 16.60 15.02 13.46 12.92 12.13 11.44 10.96 10.49 10.42 10.00 10.00 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10.42 10.00 10.00 10.00 11.67 11.67 11.67 13.33 14.59 16.30 17.21 18.50 20.16 22.28 23.57 23.57 24.04 25.34 26.52 26.87 26.87 26.52 26.65 26.31 25.83 24.87 24.76 23.84 21.73 21.29 20.42 20.00 18.33 16.69 16.38 15.21 13.74 12.92 11.74 11.44 10.67 9.45 9.15 8.98 8.50 8.33 8.37 8.50 9.52 10.44 10.29 11.80 12.39 12.37 14.25 15.50 15.60 16.30 16.76 18.03 19.44 19.44 19.44 19.44 19.44 19.44 19.30 18.50 18.61 19.30 18.42 17.72 17.10 16.50 16.51 16.59 16.67 16.76 16.59 16.77 17.33 17.41 17.66 18.19 18.49 18.80 19.12 19.80 20.28 20.62 21.29 21.67 22.12 23.10 23.57 23.57 24.36 25.58 26.35 27.80 29.45 30.56 31.32 32.30 33.44 34.16 34.89 35.78 36.71 37.46 38.08 37.95 37.68 37.50 37.48 38.10 38.77 39.64 40.68 41.85 42.85 43.27 43.75 44.57 45.42 46.83 47.73 47.89 48.09 48.65 49.05 48.89 49.31 49.16 48.59 49.03 49.47 49.47 49.35 48.07 46.80 46.70 46.70 46.12 45.34 43.50 42.25 41.67 41.08 40.42 38.67 37.35 35.60 33.92 32.75 31.00 29.17 27.34 25.09 23.35 21.03 18.73 16.87 14.17 11.93 10.62 8.70 6.67 5.27 4.75 4.75 6.07 7.93 9.20 10.31 12.13 14.25 16.08 17.13 18.19 19.51 20.82 22.68 23.21 23.46 23.72 24.78 25.85 25.31 26.09 26.39 26.93 26.93 26.70 27.25 26.48 26.28 26.84 26.84 25.17 25.58 26.73 25.77 25.58 26.09 25.99 25.34 24.75 25.34 25.93 26.03 26.75 28.44 29.61 30.26 31.43 32.60 33.26 34.95 37.20 38.96 40.77 43.08 44.85 46.10 47.86 48.45 49.62 51.43 52.12 52.33 53.58 53.67 53.28 54.08 55.03 55.46 55.20 54.42 53.67 53.52 53.62 53.85 53.26 52.45 52.48 52.66 52.63 52.47 52.56 52.74 52.61 52.93 53.34 53.39 53.50 53.65 53.98 54.26 53.93 53.47 53.57 53.80 54.02 53.26 52.23 51.54 50.01 48.48 46.97 44.76 42.02 39.02 36.40 33.99 32.15 31.32 30.42 30.56 32.75 36.54 41.67 45.89 31.32 +15.10 27.30 25.67 22.74 21.74 19.94 17.33 17.21 16.75 15.09 13.44 12.98 12.92 12.09 11.70 11.70 11.32 11.79 12.26 12.75 12.26 12.26 13.24 13.74 13.74 13.74 13.74 13.74 13.74 13.74 13.74 13.74 13.74 13.74 13.24 13.08 12.61 12.15 12.92 11.67 11.67 11.67 10.00 9.59 8.84 8.99 8.44 7.45 7.45 6.01 6.01 6.01 4.75 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21.12 22.15 23.47 23.19 23.46 25.56 25.56 25.31 25.85 26.63 26.39 25.93 27.04 26.84 26.09 26.65 26.87 25.89 25.89 26.35 26.09 26.03 26.03 25.37 25.34 25.34 25.40 26.68 26.84 26.93 28.67 30.42 31.10 32.36 34.10 34.68 35.75 38.01 39.83 41.59 43.80 45.03 46.27 47.96 49.19 50.43 51.60 52.33 52.60 53.76 54.44 54.20 54.46 54.74 55.20 56.10 55.90 55.38 55.26 54.63 54.86 54.82 54.32 54.67 54.59 54.26 54.12 53.75 53.57 53.83 54.58 55.01 55.06 55.16 55.31 55.63 55.42 55.08 55.41 54.97 54.60 54.56 53.50 53.26 53.01 51.69 50.14 48.05 45.11 42.43 40.07 37.60 35.36 33.34 31.84 31.37 32.06 33.92 37.71 42.69 47.50 33.13 +15.02 27.13 25.83 23.57 21.81 20.16 18.04 17.96 16.69 15.02 13.76 13.33 13.33 12.92 12.15 11.79 11.79 12.26 13.24 12.43 11.93 13.24 13.74 13.74 13.74 13.74 13.74 13.74 13.74 13.74 13.74 13.24 13.08 13.44 12.61 12.61 12.61 11.79 12.15 11.26 11.26 11.32 10.14 9.32 8.50 8.50 7.68 6.87 6.59 5.59 5.59 5.43 4.29 4.49 3.95 3.95 4.60 4.75 3.77 3.73 4.71 4.71 4.71 4.71 6.01 7.45 6.90 7.12 7.91 8.70 9.50 10.14 10.87 11.70 12.92 13.76 15.02 16.26 16.67 17.09 18.35 19.59 20.00 20.42 21.29 21.73 22.56 23.39 23.39 23.39 24.67 24.76 23.57 25.22 25.22 24.04 25.34 25.34 25.34 26.52 25.69 25.34 26.52 26.87 26.87 26.87 26.87 26.87 26.87 26.87 26.87 25.58 25.12 24.76 21.92 20.28 18.63 16.51 13.91 10.14 7.68 4.49 1.67 3.95 6.72 10.03 12.92 15.00 17.09 18.79 20.90 21.73 22.18 23.10 23.10 22.18 22.18 21.45 20.28 18.63 17.49 17.18 16.68 15.37 13.45 12.39 11.61 10.83 9.32 8.44 8.33 7.68 6.51 5.59 5.03 4.49 4.75 4.75 4.25 4.75 5.27 5.27 5.59 6.51 7.10 7.86 9.15 11.18 12.92 13.97 15.29 16.60 17.40 17.69 17.99 17.69 18.20 17.40 16.08 15.57 13.97 13.45 12.13 8.98 7.45 6.15 4.29 3.00 1.67 1.77 2.12 3.77 5.07 6.26 8.33 10.00 10.00 11.26 11.70 13.36 15.02 13.76 15.00 16.26 15.02 15.42 16.26 15.02 14.19 14.64 14.26 13.44 12.15 10.42 10.00 10.00 10.00 10.00 10.00 10.00 10.42 11.32 11.79 12.61 14.26 15.09 15.92 18.04 19.80 21.58 22.55 23.86 24.68 24.68 26.31 26.80 26.98 26.98 26.80 27.13 26.31 25.83 25.34 25.01 24.19 22.40 22.28 21.35 18.79 18.75 17.92 16.30 15.09 13.44 12.26 10.82 9.52 8.44 7.68 6.51 5.80 6.26 6.67 6.87 7.45 7.86 8.86 10.03 10.62 11.80 13.76 13.87 14.45 15.72 16.44 17.16 17.73 18.87 19.44 19.30 19.08 19.67 19.67 19.67 19.59 18.87 18.86 18.87 19.00 19.30 19.44 19.44 19.59 19.59 19.51 20.04 20.56 20.62 21.12 21.74 21.92 22.40 22.75 22.64 23.01 23.35 23.33 23.75 24.67 25.22 25.22 25.83 27.19 27.94 28.73 30.42 31.31 32.24 33.75 35.30 36.44 37.16 38.30 38.61 39.51 40.44 40.28 39.85 39.80 40.13 40.37 40.78 41.30 42.09 42.63 43.02 43.80 45.17 46.42 47.18 47.99 48.59 49.24 50.14 50.70 50.87 51.25 52.21 52.04 52.04 52.61 52.46 52.16 51.90 51.77 51.32 51.20 50.50 49.35 49.12 49.02 48.54 47.96 47.18 45.92 44.27 43.59 42.92 41.27 40.01 38.08 35.75 34.68 33.63 31.32 29.36 27.16 25.44 23.15 20.88 18.63 16.64 15.56 13.74 11.79 10.00 8.37 7.45 7.07 7.29 8.44 10.14 12.92 13.76 13.81 16.38 18.15 18.63 20.28 20.76 22.24 22.15 22.67 24.78 25.03 24.78 25.56 26.09 25.61 25.39 25.73 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19.62 20.45 20.85 21.29 22.56 23.39 23.39 23.39 23.84 23.93 23.93 25.12 24.76 23.93 25.12 24.76 25.22 26.87 25.22 25.22 26.87 26.87 26.87 26.87 26.87 26.87 26.87 26.87 26.87 26.41 25.12 23.93 22.28 20.16 18.50 16.85 14.39 10.62 7.68 4.49 1.67 3.17 6.72 10.03 12.09 15.00 16.67 18.33 20.42 21.29 21.73 22.56 23.01 22.64 21.81 20.62 20.28 18.63 17.33 16.85 16.51 15.37 12.94 12.13 11.33 10.54 8.98 7.45 7.45 6.59 5.92 5.43 4.75 3.73 3.77 4.75 4.75 4.25 4.75 5.27 5.59 6.48 7.17 7.86 8.58 10.83 13.18 13.97 14.77 16.08 17.40 18.49 18.30 17.00 17.49 17.18 16.68 15.69 13.91 13.08 11.62 9.22 7.38 6.07 4.49 3.00 1.32 1.18 1.86 4.25 5.07 5.43 8.33 10.00 10.00 11.26 11.70 13.36 15.02 13.76 15.00 16.26 15.02 15.42 16.67 15.00 14.59 15.02 13.76 13.33 11.67 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.42 11.32 12.61 13.91 15.21 16.38 17.21 18.98 20.76 22.06 23.70 24.19 24.68 26.31 26.31 26.31 26.80 26.98 27.49 26.98 26.80 25.50 24.68 24.68 23.37 23.22 21.92 19.80 19.69 18.79 17.09 15.00 13.76 12.98 11.44 10.02 8.21 6.72 5.34 4.75 4.75 5.00 5.27 6.01 6.51 7.68 8.92 9.50 10.29 12.49 12.87 13.44 14.91 15.47 16.59 17.16 17.73 18.73 19.08 19.00 19.67 19.59 20.07 20.62 20.07 20.11 20.25 19.88 19.59 20.32 21.06 21.67 22.40 22.67 22.67 22.74 23.37 23.86 23.70 23.93 24.76 25.22 25.50 25.89 25.45 25.42 26.28 26.78 26.87 27.34 28.44 29.31 29.53 30.58 32.28 32.83 33.54 34.89 36.44 37.59 38.30 39.44 40.31 41.20 40.99 40.28 40.16 40.59 41.15 41.35 41.72 42.18 42.92 43.85 45.02 45.77 46.60 47.80 48.49 48.77 49.60 50.99 51.87 52.00 52.17 52.17 53.11 54.07 53.51 53.34 53.75 54.02 53.88 53.88 53.31 53.18 53.05 51.77 51.08 51.08 50.39 49.12 49.02 48.44 46.70 45.43 44.76 43.01 41.75 41.08 38.85 36.63 35.48 34.21 32.36 29.59 27.87 26.31 24.61 22.36 19.81 17.95 15.81 13.74 11.79 10.42 9.81 9.52 9.01 8.86 9.88 12.13 12.61 13.36 15.42 16.69 18.04 19.80 20.28 20.76 20.92 21.93 23.75 23.99 24.25 25.31 25.61 25.17 25.53 25.34 25.17 26.31 26.73 25.77 25.58 26.09 26.03 25.99 25.93 27.13 27.80 26.93 27.62 27.74 27.87 29.15 29.63 30.76 32.30 32.62 33.36 35.30 36.59 37.88 39.88 41.61 43.46 45.19 46.34 48.54 50.39 51.20 52.35 53.63 54.90 55.61 56.03 57.32 57.47 57.40 58.88 59.26 59.11 59.53 59.11 59.06 59.31 58.77 58.79 58.62 58.21 57.86 57.54 57.28 57.42 58.10 57.95 57.08 57.08 57.99 58.55 58.62 58.46 58.10 58.36 58.18 57.86 57.91 57.10 56.50 55.36 52.72 50.61 49.02 47.45 45.90 43.35 40.70 38.19 35.87 34.65 33.99 33.75 34.89 37.42 40.07 43.75 48.25 35.94 +14.06 27.16 26.72 25.06 22.95 21.25 18.75 18.35 17.52 15.47 15.09 14.73 14.06 13.74 12.43 11.93 13.24 13.24 12.26 12.26 13.24 13.74 13.74 13.24 13.08 13.44 13.44 12.61 12.61 13.44 12.98 12.53 12.98 12.61 12.15 12.92 11.67 11.67 11.67 10.00 10.00 10.00 9.59 8.84 8.50 8.19 7.66 7.45 6.15 5.59 5.43 4.71 3.58 3.00 3.17 3.33 3.33 3.33 3.33 3.73 4.71 4.71 4.71 4.71 6.01 6.15 5.59 7.12 8.70 8.70 8.70 10.02 10.82 11.44 12.61 13.81 14.19 15.02 16.26 16.67 18.33 18.75 18.79 20.90 21.29 20.85 22.12 23.39 23.39 23.39 23.39 23.39 24.22 24.67 24.30 24.67 24.67 24.30 25.12 26.41 25.58 25.12 26.41 26.87 26.87 26.87 26.87 26.87 26.87 26.87 26.87 26.87 25.22 23.57 23.10 20.52 18.41 16.75 13.91 11.12 8.19 4.49 1.32 2.64 6.72 9.59 11.67 15.00 16.67 18.33 20.00 20.42 21.68 22.52 22.12 22.56 21.73 20.07 20.07 18.41 17.58 16.75 15.56 14.87 13.24 11.93 10.82 10.54 8.98 7.45 7.45 6.01 4.71 4.71 4.71 3.73 3.33 3.77 4.49 3.95 3.77 4.49 4.75 5.92 7.10 8.33 9.15 11.07 12.65 13.97 15.06 15.37 17.00 18.63 18.63 17.00 17.00 17.33 16.85 16.03 14.73 12.61 10.96 9.32 7.68 6.07 4.49 3.17 1.32 1.32 1.86 3.77 5.00 5.00 8.33 9.59 10.03 10.87 11.70 13.36 14.64 14.64 15.02 15.47 15.47 16.26 16.26 15.02 15.02 14.64 13.44 13.44 12.15 10.42 10.00 10.00 10.00 9.59 9.66 10.14 10.14 10.14 10.96 12.26 13.24 15.37 17.00 17.00 18.63 20.28 21.58 23.37 23.86 24.68 25.99 26.48 26.80 25.99 26.17 27.49 27.49 27.49 26.17 25.17 24.68 24.19 23.70 22.06 20.76 20.28 19.80 18.04 15.47 14.59 13.33 12.09 10.03 7.55 6.37 5.03 4.17 3.00 2.95 3.73 4.71 5.30 7.10 8.33 9.15 10.07 11.18 12.30 13.04 14.35 14.91 15.47 16.59 17.01 17.34 18.42 18.94 20.07 20.62 20.66 21.29 21.42 21.61 21.73 21.45 21.45 22.21 23.21 23.99 24.27 24.56 25.37 25.50 25.69 26.65 26.99 26.78 26.78 27.24 27.55 27.55 27.94 28.35 28.38 28.44 28.53 29.11 30.24 30.42 30.33 31.65 32.83 33.38 34.85 36.75 38.30 38.87 39.44 40.59 41.30 41.60 41.55 41.59 42.02 42.72 42.98 43.16 43.50 43.91 44.17 44.63 46.11 47.40 47.73 48.10 49.29 50.60 51.40 52.23 53.40 53.87 53.67 53.67 54.23 55.72 56.10 55.37 55.04 55.31 55.31 55.31 55.31 55.17 54.90 54.20 53.05 52.35 52.12 50.97 50.39 50.28 49.02 47.28 46.70 46.01 44.27 43.69 42.53 39.76 37.91 36.63 35.48 33.30 31.16 29.46 27.60 25.53 23.31 20.90 18.98 17.40 15.37 13.44 11.70 10.82 10.29 10.29 11.20 12.02 11.93 12.94 14.73 15.47 16.67 18.41 19.80 19.94 20.11 21.42 22.74 22.67 23.21 24.84 25.17 24.78 25.17 25.58 25.44 26.01 26.35 26.09 25.99 26.54 27.11 27.13 27.27 27.92 28.67 28.44 28.44 28.58 29.07 30.56 31.31 31.87 33.54 34.49 35.24 37.27 38.57 39.69 41.77 43.63 45.33 46.73 47.31 49.03 50.88 52.31 54.02 54.74 56.03 57.32 57.06 57.63 58.53 58.70 59.46 60.21 60.29 60.74 60.67 60.09 60.35 60.62 60.67 60.23 59.84 59.49 59.18 58.93 59.00 59.70 60.05 60.01 60.01 59.65 59.38 59.91 60.00 59.75 60.01 59.67 59.00 58.53 57.71 56.59 55.18 53.87 52.55 50.43 48.31 46.29 44.13 42.07 40.08 38.33 36.82 35.98 35.90 36.75 39.33 42.46 45.43 48.68 36.06 +14.64 27.92 26.67 25.42 23.78 21.73 19.69 18.50 17.21 16.38 15.21 15.21 14.87 13.74 12.13 12.13 13.74 12.43 11.93 13.24 13.74 13.24 13.08 12.61 12.61 13.44 13.44 12.61 12.61 13.44 12.61 12.15 12.92 12.92 11.70 12.09 11.67 11.26 11.70 10.42 10.00 9.59 8.84 8.84 8.37 7.19 6.87 6.87 6.07 5.03 4.75 4.71 4.12 3.00 2.64 2.12 1.67 2.12 2.95 3.73 4.71 4.71 4.71 4.71 6.01 6.01 6.01 7.45 8.44 8.70 9.22 10.02 10.31 11.12 12.26 13.44 14.26 15.09 15.92 16.75 17.96 18.35 18.79 20.45 21.25 20.83 21.67 22.92 22.95 23.39 23.39 23.39 24.22 24.22 24.22 24.67 24.30 24.67 25.06 25.50 25.95 25.50 25.89 26.33 26.41 26.87 26.87 27.24 27.16 26.72 26.72 26.72 25.06 23.39 23.01 20.98 18.87 16.75 13.44 10.96 8.50 4.75 1.18 3.17 6.37 9.20 11.70 14.59 16.67 18.33 20.00 20.00 21.67 22.09 21.68 22.52 21.68 20.42 19.59 18.35 17.52 16.30 15.09 14.26 13.08 11.93 10.62 9.81 8.70 7.38 6.59 5.59 4.29 3.58 4.12 3.73 3.33 2.95 3.00 3.17 2.95 3.00 4.12 5.34 6.01 7.45 8.98 11.33 12.13 13.74 15.37 15.37 17.33 18.50 18.15 17.33 17.21 17.58 16.75 15.56 14.87 13.24 11.44 9.32 7.68 6.37 4.60 2.95 1.86 1.32 1.67 2.95 5.07 5.43 7.93 8.84 10.14 11.32 11.70 12.98 14.26 15.09 15.09 15.47 15.86 16.30 15.92 15.09 15.09 14.26 13.44 13.44 12.61 10.96 10.14 10.14 10.14 9.32 9.32 9.81 10.02 10.54 11.62 11.93 12.43 15.37 17.00 17.00 18.30 20.11 21.42 23.05 23.86 24.68 25.17 26.17 27.49 25.87 25.87 27.49 27.49 27.49 26.68 25.87 25.07 25.37 24.36 22.24 21.74 20.76 20.28 18.63 16.51 15.56 13.81 12.53 10.03 8.33 6.72 5.07 3.44 1.86 1.77 2.36 3.73 3.73 5.27 6.87 8.19 8.98 9.88 11.93 12.49 13.60 14.73 15.15 16.30 16.76 16.59 17.72 18.87 19.45 20.07 20.76 21.42 21.73 22.58 23.31 23.53 24.25 25.03 25.58 25.87 25.87 25.99 27.13 28.29 28.53 28.99 29.82 29.73 29.27 29.66 30.05 30.44 31.25 31.25 30.88 30.93 31.01 31.24 31.05 31.23 32.45 33.75 34.36 35.24 36.71 38.04 39.44 40.16 41.30 42.45 42.59 42.74 43.24 44.00 44.65 45.11 44.82 44.47 44.46 45.28 46.27 46.70 46.85 47.74 48.87 49.72 50.65 51.92 52.97 53.26 54.39 56.14 56.69 56.69 56.49 56.46 56.67 56.67 57.06 57.47 57.47 57.47 57.32 57.02 56.89 56.89 56.18 54.78 54.08 53.51 52.35 52.23 52.12 50.39 48.65 48.54 47.50 46.34 45.65 43.46 41.61 39.76 38.03 36.44 34.32 32.46 30.60 27.95 26.28 24.84 22.93 21.08 19.30 18.15 16.30 13.81 12.43 12.15 12.02 11.79 11.92 12.30 13.97 14.87 15.09 16.67 18.41 18.98 19.12 20.92 21.93 21.35 21.61 23.21 23.86 24.04 24.45 24.73 25.77 26.25 26.03 26.54 26.52 27.13 28.38 28.58 28.67 28.78 29.15 30.03 30.76 31.12 31.19 31.96 33.05 33.81 35.13 36.68 37.99 39.39 40.49 41.80 43.80 44.72 45.66 47.76 49.22 50.91 52.04 52.77 54.47 55.93 57.23 58.36 58.70 59.63 60.57 60.42 60.62 61.39 61.28 61.21 61.69 61.67 61.67 61.98 62.56 62.66 62.28 62.27 62.47 62.23 61.87 61.76 61.72 62.08 62.51 62.12 61.87 61.57 61.20 61.40 61.17 60.83 60.49 59.49 57.86 56.22 55.28 54.47 52.97 51.16 49.04 46.74 44.67 42.25 40.44 39.20 37.83 37.50 38.30 39.34 41.27 44.29 47.73 50.80 38.87 +15.09 28.38 26.72 26.33 24.76 21.92 20.28 18.63 17.00 17.00 15.87 15.57 15.06 13.74 12.65 12.39 13.45 12.13 12.13 13.74 13.24 12.26 12.61 12.61 12.61 13.44 13.44 12.15 12.09 13.33 12.50 11.67 12.50 12.92 11.70 11.70 11.70 10.87 11.32 10.96 10.14 9.32 8.84 9.20 8.01 6.87 6.87 6.87 6.07 4.49 3.73 3.73 3.58 3.00 2.43 1.86 1.67 2.43 3.17 3.73 4.71 4.71 4.71 4.71 5.43 5.59 6.15 7.45 7.66 8.70 9.50 8.99 10.14 11.44 12.43 13.74 14.06 14.73 15.92 16.75 17.13 18.35 19.62 20.07 20.45 20.42 21.67 22.09 22.12 23.39 23.39 23.39 24.22 24.62 24.18 23.78 24.22 25.06 25.06 25.06 25.89 25.89 25.89 25.89 25.89 26.72 26.72 27.55 27.55 27.11 26.68 26.28 25.45 23.75 22.09 20.45 19.24 16.75 13.81 10.87 8.01 5.27 1.86 3.17 5.89 9.66 11.79 13.81 16.69 18.35 19.59 20.42 21.68 21.68 21.68 22.09 21.67 20.83 18.75 18.35 17.92 15.42 14.64 14.26 12.61 11.79 10.96 9.32 8.50 7.68 6.07 5.27 4.49 3.00 2.95 3.00 2.12 1.86 2.43 2.95 3.17 2.95 3.00 4.49 5.27 6.87 8.50 10.62 11.93 13.57 15.21 15.56 17.58 18.04 17.68 18.04 17.58 17.21 16.85 15.56 14.26 13.44 11.79 9.66 7.93 6.67 5.00 2.50 1.67 0.59 1.86 2.64 4.75 6.07 7.68 8.50 9.81 11.93 12.26 12.61 14.26 14.73 15.21 16.38 15.56 15.69 16.51 15.21 15.21 14.73 13.44 13.44 12.26 11.12 10.62 9.81 10.02 10.02 9.81 9.32 8.99 10.31 11.93 11.62 12.13 15.37 16.68 16.88 18.20 19.81 21.42 23.05 23.86 24.36 24.56 25.87 27.19 26.10 26.39 27.49 27.19 27.42 27.14 26.62 25.58 25.58 25.58 22.95 22.44 21.93 20.62 19.30 17.49 16.18 14.87 12.75 10.31 9.81 7.19 5.07 3.44 1.86 1.77 1.77 2.95 3.33 5.00 6.26 6.87 7.91 8.70 10.54 11.38 12.49 13.44 14.45 15.60 16.01 16.51 17.09 18.28 19.48 19.59 20.34 21.73 22.36 23.86 25.39 25.83 26.39 27.19 27.49 27.80 28.93 29.94 30.65 31.47 31.84 31.84 31.84 32.22 32.98 33.37 33.37 33.34 33.33 33.33 33.37 33.43 33.50 33.23 32.54 33.05 34.28 35.32 35.90 36.55 37.83 39.34 41.30 42.02 42.59 43.59 43.88 44.60 45.49 46.22 46.51 46.43 45.86 45.78 46.25 46.67 47.13 47.93 48.89 50.09 51.17 52.47 53.36 53.80 54.81 55.61 56.18 57.34 58.21 58.21 58.35 58.32 58.14 58.14 58.70 59.66 59.49 58.76 58.46 58.31 58.31 58.31 58.61 57.91 56.89 56.76 55.48 54.20 54.08 53.51 51.77 50.50 49.35 48.19 47.50 45.89 44.74 43.46 41.30 39.74 38.04 36.35 35.22 32.98 30.21 28.24 26.63 24.78 22.44 20.76 19.80 17.96 15.92 14.55 13.46 12.72 12.39 12.43 13.44 14.24 13.74 15.56 16.69 17.52 18.04 19.12 20.83 20.82 21.12 22.00 22.75 23.72 24.04 24.42 25.51 26.58 26.52 27.13 27.80 27.92 28.58 28.67 28.78 29.15 29.63 30.56 32.07 33.05 33.21 34.00 35.06 35.85 36.89 38.21 39.02 39.85 41.16 42.48 44.21 45.86 47.73 49.75 50.50 52.17 53.85 54.60 55.72 56.46 57.58 58.88 60.01 60.97 61.73 62.15 62.60 63.37 63.84 63.79 63.77 64.30 64.33 63.88 63.97 64.58 64.72 64.25 64.47 65.07 64.81 63.86 63.38 63.33 63.76 64.62 64.75 63.98 63.68 63.41 62.23 61.17 60.83 60.01 58.36 57.21 56.22 54.59 53.11 52.14 50.69 48.44 45.65 43.37 41.67 40.14 38.91 38.52 39.62 41.20 43.11 45.56 48.91 51.88 41.20 +15.56 28.90 27.34 26.99 24.87 21.92 20.28 19.12 17.69 17.40 16.60 15.29 14.25 13.74 13.45 12.39 12.65 12.13 12.13 13.24 12.26 12.26 12.75 12.26 12.15 12.92 12.92 11.70 12.09 12.92 12.15 11.79 12.61 12.61 11.79 11.44 11.93 11.44 10.62 10.82 10.54 10.02 9.81 9.32 7.68 6.87 6.87 6.87 6.07 4.49 3.73 3.73 3.00 2.36 2.43 2.95 3.33 3.17 3.00 3.58 4.12 3.58 4.29 4.75 4.75 5.59 6.90 7.45 7.45 8.98 9.22 8.70 10.31 11.93 12.75 13.08 13.44 14.26 15.92 16.75 16.75 18.41 19.62 19.59 20.00 20.42 21.68 21.68 21.68 22.92 23.33 23.33 23.75 24.62 24.62 23.75 23.75 25.01 25.01 25.01 25.85 25.45 25.89 26.28 26.25 26.67 26.67 27.09 27.11 27.55 26.72 25.89 25.89 24.22 22.12 20.42 18.75 16.30 14.26 10.96 7.68 5.27 1.77 2.64 6.37 9.66 11.70 13.81 16.75 18.41 19.24 20.90 21.29 21.68 21.68 21.68 21.68 20.42 18.75 18.35 17.92 15.00 14.17 14.17 12.50 11.26 10.49 9.66 8.37 7.19 6.37 5.07 3.95 3.17 1.86 1.77 1.86 2.12 2.64 2.12 2.43 3.54 3.58 4.29 5.59 7.12 8.70 10.31 11.93 13.91 15.09 15.92 17.21 17.68 18.04 18.41 17.58 16.75 16.75 16.30 14.59 13.33 11.67 10.00 8.33 6.67 5.00 2.95 1.86 0.83 1.77 3.00 4.49 6.07 7.68 8.50 9.32 11.44 12.75 13.08 13.91 14.06 15.37 17.00 15.37 15.37 17.00 15.37 15.37 15.37 13.74 13.74 12.13 11.62 11.44 8.99 9.22 10.54 10.54 10.02 8.99 10.14 11.44 10.82 12.13 15.06 16.08 16.60 18.49 19.61 20.92 22.74 23.75 24.27 24.27 25.58 26.62 26.35 27.14 27.94 27.14 27.14 27.14 27.14 26.62 25.30 25.83 24.25 23.19 22.67 21.08 20.56 18.72 16.60 15.81 13.71 11.07 10.29 8.58 6.59 4.75 3.00 2.64 2.12 2.43 3.44 5.07 5.43 5.43 7.19 8.50 8.99 10.02 10.83 11.58 13.29 14.34 14.74 15.91 16.51 17.25 19.76 21.16 21.62 23.11 23.75 24.78 26.35 27.19 27.80 28.61 29.42 30.41 31.94 33.13 33.50 33.50 33.88 34.71 35.16 35.48 35.87 35.87 35.87 35.44 35.00 35.00 35.04 35.09 35.16 35.25 35.36 35.98 36.40 36.89 37.45 38.08 39.69 41.20 42.59 43.16 43.88 45.45 46.31 47.19 47.92 47.89 47.60 47.74 47.70 48.10 49.36 49.62 49.23 49.59 50.50 51.63 52.68 53.93 54.97 55.40 55.88 56.66 57.74 58.34 59.20 59.53 59.66 60.57 61.12 61.12 60.93 60.96 60.62 59.90 59.74 59.74 59.74 59.60 59.89 59.89 58.88 58.61 57.91 56.76 56.05 55.48 54.90 53.63 51.77 50.05 49.47 48.45 47.17 45.89 43.88 42.33 41.20 39.51 37.83 36.71 34.69 32.19 30.33 28.48 26.10 23.86 22.40 21.45 19.59 17.13 15.37 14.24 13.44 13.02 13.02 13.44 13.24 14.77 14.73 15.83 16.75 17.00 19.00 19.51 20.14 20.88 21.73 23.35 23.75 24.27 24.78 25.93 26.54 26.68 28.00 28.67 28.78 29.59 30.60 31.12 31.52 32.19 33.50 34.28 34.80 36.40 37.96 38.75 39.32 40.07 40.85 42.16 43.48 44.54 46.43 48.28 49.91 51.66 52.42 53.52 55.18 56.69 58.35 58.90 59.46 60.42 61.39 62.15 63.14 64.14 64.38 64.62 65.11 65.36 65.10 65.65 65.93 65.79 65.90 65.71 65.86 65.90 66.00 66.63 66.54 65.58 65.45 65.83 65.43 65.05 65.13 65.19 64.89 64.14 63.31 62.23 61.17 60.22 59.40 58.70 57.54 55.90 54.12 52.33 50.44 48.59 46.73 45.00 43.37 41.97 40.86 40.35 40.93 42.33 44.38 46.85 50.12 52.45 41.37 +16.18 29.82 28.29 27.13 24.68 22.24 20.62 20.32 18.98 17.95 16.64 14.78 14.24 14.24 13.71 12.39 12.39 11.86 12.13 12.43 11.44 12.61 12.15 11.70 11.70 12.09 12.09 11.70 12.53 12.15 11.79 11.79 12.26 12.75 11.93 11.12 11.93 11.62 10.82 10.62 10.14 10.14 9.81 9.50 8.19 6.87 6.87 6.87 6.07 4.49 3.73 3.73 3.00 2.36 1.86 1.67 2.12 2.64 3.00 3.54 2.95 3.00 4.49 5.03 4.75 6.01 7.45 7.45 7.45 8.98 8.98 8.98 10.54 12.13 12.43 12.26 13.44 14.73 16.03 16.38 17.21 18.50 18.87 19.24 20.07 20.90 21.29 21.68 22.12 22.56 22.95 22.92 23.33 24.17 25.00 24.17 23.33 25.00 25.00 25.00 25.42 25.01 26.25 26.67 26.67 26.67 26.67 26.67 26.67 27.09 26.68 26.25 25.42 23.78 22.56 20.90 18.79 15.86 13.81 11.32 7.93 4.60 1.77 3.00 6.87 9.32 11.79 14.26 16.75 18.41 19.24 20.90 20.90 21.73 21.73 21.29 21.68 20.45 19.24 17.96 17.09 15.42 14.64 14.26 12.15 10.87 10.49 9.66 7.93 6.67 6.67 5.00 3.33 2.95 1.86 1.18 1.32 1.67 1.86 1.77 1.18 2.43 3.73 3.73 5.27 6.87 8.50 10.14 11.79 14.26 15.09 15.92 16.75 17.96 18.35 17.96 17.96 17.09 16.67 16.67 15.00 13.33 11.67 10.00 8.33 6.67 5.43 3.44 1.86 1.32 1.86 3.00 4.49 6.07 7.38 8.70 9.81 10.62 12.43 13.74 13.74 13.74 15.37 16.68 15.57 15.87 17.00 15.37 15.37 15.37 13.74 13.74 12.13 11.86 12.15 9.88 9.52 10.54 10.54 10.54 9.75 10.29 11.61 11.07 12.13 14.25 15.57 16.68 18.30 19.30 20.62 21.93 22.95 24.27 24.27 24.78 25.83 26.35 26.88 27.94 27.94 27.67 26.88 27.16 27.94 26.09 25.31 25.07 24.53 23.46 21.61 21.08 19.51 17.41 16.09 14.55 12.49 10.44 9.01 7.68 6.51 5.03 3.95 3.33 3.73 4.12 5.03 5.27 5.27 6.37 7.50 8.01 8.99 8.98 9.72 12.02 13.02 13.57 15.37 16.67 17.16 19.19 21.80 23.21 24.78 25.83 26.39 27.49 28.93 30.08 30.90 32.06 33.50 34.71 35.16 35.16 35.54 36.31 37.14 38.03 38.37 38.37 38.37 38.37 38.37 38.33 38.33 37.94 37.14 36.82 36.90 37.01 37.60 38.01 38.48 39.02 40.16 41.74 42.50 43.88 45.02 46.31 48.02 48.74 49.05 49.22 49.01 49.24 49.60 49.54 50.14 50.84 50.44 50.50 51.25 51.73 52.74 54.21 55.08 56.09 57.01 57.47 57.99 59.31 59.89 60.43 61.60 61.94 62.28 62.63 62.43 62.05 62.26 62.65 62.65 62.65 62.49 61.76 61.46 61.17 60.60 60.03 59.76 59.18 58.61 57.91 56.76 56.05 55.48 54.90 53.31 52.16 50.88 49.60 48.59 47.19 45.49 43.63 41.77 39.69 38.77 37.86 35.90 34.04 32.19 29.78 27.49 25.50 24.04 22.64 20.45 18.41 17.00 15.29 14.17 13.67 13.57 13.18 13.24 12.94 14.26 15.00 15.09 16.68 17.41 18.63 19.59 19.88 21.42 23.10 23.60 24.17 25.40 26.68 26.93 27.74 29.47 29.73 30.37 32.07 33.05 33.75 34.53 35.58 36.37 36.48 37.29 38.52 39.62 40.73 41.95 43.27 44.59 45.62 46.66 47.96 49.02 50.38 52.31 53.62 54.71 55.81 56.57 58.21 59.86 60.62 61.06 61.83 62.83 63.84 64.38 64.62 65.36 66.15 66.41 66.45 66.73 67.02 67.21 67.52 67.34 67.34 67.54 67.19 67.00 67.00 67.24 67.52 67.08 66.67 66.28 65.52 65.19 64.81 64.06 63.68 63.31 62.23 60.93 60.58 60.22 58.93 56.80 54.21 52.09 50.25 48.45 47.10 46.27 45.12 43.84 42.85 42.18 42.79 44.19 45.77 48.25 52.02 54.83 44.35 +16.64 30.56 28.93 27.30 25.37 22.67 21.08 21.08 19.51 17.41 16.09 15.10 14.35 14.01 12.92 12.39 12.39 11.07 11.62 11.93 11.12 11.79 11.26 11.26 11.70 11.70 11.32 11.79 12.26 11.93 11.93 11.62 12.13 12.65 12.39 11.86 12.13 11.33 11.62 11.44 10.14 10.14 9.32 8.99 8.70 7.38 6.87 6.87 6.07 4.75 3.77 2.95 2.43 2.36 1.86 1.67 1.86 2.43 3.00 2.95 2.95 4.12 4.75 5.59 5.43 6.01 7.45 7.45 7.45 8.98 8.98 8.98 10.54 12.13 12.13 12.13 13.74 15.37 15.69 15.56 18.04 18.50 18.50 19.33 19.69 20.90 20.90 21.73 22.56 22.56 22.56 22.56 23.39 24.22 24.62 23.75 23.75 25.01 24.59 25.00 25.42 25.01 26.25 26.67 26.67 26.67 26.67 26.67 26.67 26.67 26.67 26.67 25.00 23.33 22.09 20.45 19.24 16.30 13.76 11.26 8.01 4.49 1.86 3.00 6.87 9.32 11.79 14.26 16.75 18.41 19.24 20.90 21.35 21.81 21.81 20.98 21.35 20.90 19.24 17.58 16.75 15.92 15.09 13.81 11.70 11.32 10.96 8.84 7.55 6.72 6.26 5.00 3.33 2.12 1.86 1.32 0.00 0.00 0.59 1.77 1.77 1.86 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24.30 23.53 24.07 25.93 27.04 27.59 26.84 27.39 27.95 27.95 27.77 26.87 26.87 26.87 25.44 24.04 24.04 22.67 20.76 18.94 17.09 16.59 16.08 14.01 12.69 12.39 12.13 11.44 10.42 10.00 9.59 8.33 7.10 6.26 5.00 3.77 2.50 1.32 3.58 4.86 6.35 8.98 11.62 13.97 16.08 18.30 20.76 23.37 25.83 28.17 30.29 32.30 34.42 36.07 37.65 38.81 40.08 41.80 42.93 43.37 43.37 43.75 45.00 46.25 46.27 45.86 46.30 46.34 45.51 45.07 45.03 44.60 43.75 42.93 42.13 42.25 43.02 42.98 43.05 43.75 45.19 46.58 47.92 49.88 50.88 51.90 53.05 53.63 54.20 55.03 56.03 56.50 56.09 56.03 56.14 55.92 55.90 55.76 55.77 56.29 56.69 57.27 58.71 60.22 61.12 61.85 62.27 62.74 63.77 65.11 66.23 66.54 66.86 67.31 67.27 67.08 67.08 67.28 66.94 66.78 67.60 67.46 66.31 66.03 65.90 65.46 65.32 65.19 65.19 64.62 63.47 62.89 62.89 62.32 61.17 60.46 59.32 57.74 56.60 56.03 55.46 53.75 52.21 51.81 50.69 48.83 47.14 46.22 45.31 43.11 41.04 39.39 37.45 35.60 33.75 31.62 29.26 26.39 23.75 21.35 18.49 15.56 13.44 11.32 8.33 5.56 3.73 2.43 3.17 4.75 7.75 10.29 12.49 14.55 16.41 17.95 19.51 21.08 22.67 24.27 25.87 27.49 28.44 29.26 30.41 32.06 33.23 33.96 34.79 35.99 37.65 39.02 39.85 40.59 41.60 42.54 43.37 44.32 45.43 46.10 46.79 48.31 50.14 51.68 52.72 53.76 54.29 55.08 56.40 57.45 57.98 58.50 59.56 60.88 61.15 61.42 62.22 62.56 63.16 63.97 64.58 65.22 66.03 66.04 66.38 67.20 67.19 67.09 67.00 66.92 66.85 66.71 66.69 66.26 65.42 64.58 64.19 64.19 63.36 62.12 61.69 61.26 60.02 58.36 57.08 56.25 55.03 53.36 52.16 51.45 50.34 49.26 48.23 47.60 47.22 46.91 47.21 47.60 48.45 50.18 52.31 54.46 56.51 50.60 +19.44 33.21 30.31 27.67 25.56 23.21 20.35 18.49 16.41 15.10 14.01 12.15 11.07 8.98 8.44 8.19 7.19 7.10 6.67 7.10 6.87 8.21 9.15 8.33 8.92 10.17 10.17 10.75 11.92 12.43 13.02 13.02 13.67 14.34 15.02 15.02 14.45 14.73 14.91 14.91 14.35 14.01 12.92 11.07 10.82 10.62 9.32 7.68 6.87 5.56 3.77 3.33 2.12 1.77 1.86 1.86 1.77 1.86 3.17 3.73 4.29 4.86 5.59 6.35 5.80 5.80 6.90 8.98 8.98 8.98 10.29 10.62 11.38 11.07 12.13 13.45 13.97 14.25 15.37 16.68 17.18 17.49 17.49 18.80 19.94 20.28 20.28 20.28 21.92 22.28 21.81 23.10 23.10 22.18 22.56 24.22 24.22 23.39 24.22 25.06 24.62 25.01 25.01 25.42 26.25 25.45 25.45 26.25 26.67 26.67 26.25 25.01 23.75 22.92 21.29 19.24 17.58 15.92 13.08 10.31 7.12 4.17 2.50 5.43 8.01 10.83 13.45 15.37 18.30 19.30 20.62 22.24 22.24 22.24 23.05 22.24 21.42 20.62 19.00 18.20 17.40 16.08 14.25 12.65 12.15 11.93 9.88 8.58 7.86 7.29 6.01 4.71 4.71 3.73 3.33 3.33 3.33 3.33 3.33 2.95 3.00 3.00 3.00 4.86 5.59 7.12 8.99 10.62 13.24 13.74 15.37 17.00 18.63 18.63 18.63 19.12 18.80 18.80 18.80 17.18 15.57 15.06 13.74 12.13 8.98 7.45 7.45 6.01 4.29 4.75 4.60 4.49 5.43 6.48 6.59 8.01 9.32 10.83 12.15 12.69 13.46 14.24 15.02 15.81 15.81 15.81 16.34 16.09 15.56 15.56 15.10 14.91 14.35 13.24 12.69 11.93 11.18 11.38 11.07 10.54 10.54 10.54 12.13 12.13 12.13 13.74 13.74 13.74 15.37 16.68 17.40 18.45 19.24 20.56 21.08 21.61 23.21 23.53 23.53 24.84 25.93 27.04 26.84 26.65 27.95 27.95 27.04 26.87 26.87 26.87 25.44 24.04 24.04 22.67 21.34 20.07 17.72 16.67 16.67 15.15 13.46 13.18 12.65 11.93 11.32 10.42 9.66 8.84 7.93 7.10 6.37 5.03 2.95 3.33 5.27 5.92 7.75 10.75 12.49 14.55 16.41 18.19 21.08 23.99 25.87 27.80 30.24 32.69 34.66 35.83 37.01 38.48 40.22 41.50 42.13 42.97 43.80 44.60 45.01 45.00 45.43 45.86 45.86 46.34 46.79 46.34 45.46 44.63 43.77 42.92 42.53 42.70 42.54 42.49 43.05 44.27 45.96 46.77 47.76 49.60 50.75 51.77 53.39 54.78 55.48 56.05 56.31 56.18 55.72 55.38 55.40 55.88 56.09 55.76 55.87 56.33 57.10 58.04 58.62 58.93 59.82 61.34 62.27 63.02 64.04 64.33 64.92 65.77 65.87 66.35 67.08 67.08 67.08 67.84 68.07 67.19 66.89 67.31 66.74 66.60 66.47 65.32 65.19 65.07 64.49 64.49 63.91 62.76 62.06 61.49 60.91 60.21 59.18 58.31 57.74 56.60 55.88 54.74 52.77 51.64 50.91 49.78 48.45 47.53 46.22 44.35 42.69 41.04 38.63 36.44 35.13 32.73 30.33 27.94 25.31 23.21 21.08 18.20 14.77 12.13 10.02 6.87 3.77 1.67 0.59 2.95 5.80 8.44 10.54 12.39 14.49 16.88 19.00 20.62 22.24 23.86 25.50 26.80 27.47 28.64 29.82 30.65 31.84 33.05 33.88 34.65 35.48 36.82 38.10 38.48 39.02 40.31 41.60 42.20 42.82 43.97 44.97 46.29 47.80 48.77 49.29 50.61 52.18 53.23 54.02 54.81 55.87 56.66 57.19 58.24 59.03 59.58 60.67 61.55 61.85 62.15 62.77 63.09 63.41 63.91 64.60 65.42 65.53 65.43 65.34 65.26 65.19 64.65 64.19 64.19 63.76 63.33 62.93 62.10 61.25 60.43 59.60 58.75 57.92 57.08 56.25 55.03 53.83 52.61 51.00 49.88 49.26 48.57 47.73 47.00 46.93 47.43 47.74 47.93 48.64 50.51 52.04 54.02 56.05 50.34 +18.87 32.45 29.53 27.14 25.03 22.40 19.51 17.95 16.41 14.91 13.60 11.18 10.29 8.98 7.66 6.87 6.26 6.26 6.37 6.87 5.80 6.72 8.44 8.27 8.84 10.62 11.21 11.21 11.80 12.37 13.55 14.14 14.78 14.92 15.02 15.15 14.73 14.91 14.91 15.10 14.78 14.24 13.71 11.86 11.62 11.44 8.99 7.91 7.38 6.07 4.75 3.44 1.86 1.18 1.32 1.32 1.18 2.43 3.73 3.73 4.49 5.03 5.59 5.80 5.80 6.90 7.45 8.98 8.98 8.98 10.54 10.54 10.54 11.07 12.39 13.45 13.74 14.25 15.57 16.68 17.00 17.00 18.30 18.80 19.12 20.28 20.28 20.28 21.92 21.92 21.92 23.10 22.18 22.18 23.10 23.93 23.84 23.39 24.22 24.62 24.18 25.01 25.01 25.01 26.25 26.25 25.01 25.42 26.67 26.67 25.42 24.62 24.22 22.56 20.90 19.24 17.58 15.56 12.43 10.54 7.45 4.71 3.33 6.01 8.76 10.83 13.18 16.08 18.49 19.61 20.92 22.24 22.24 22.74 23.24 22.44 21.63 20.83 19.24 17.92 17.40 15.81 14.24 13.46 12.15 11.07 9.52 9.15 8.33 7.10 5.92 4.71 4.71 3.73 3.33 3.33 3.33 3.33 3.33 3.33 3.73 3.73 3.73 5.34 6.01 7.45 9.52 11.61 13.45 14.25 15.57 17.18 18.80 18.80 18.80 19.61 19.30 19.00 18.49 17.18 16.08 15.02 13.71 11.86 9.52 8.44 7.75 5.92 4.75 4.49 4.25 4.49 4.86 6.51 7.29 7.45 8.98 10.54 11.07 12.39 13.45 13.74 14.25 15.29 15.56 16.09 16.09 16.09 16.09 15.10 15.10 14.78 14.01 13.79 13.04 12.30 11.74 11.93 11.93 11.38 11.07 10.54 12.13 12.13 12.13 13.74 13.74 13.74 15.06 16.08 16.60 18.20 18.72 19.76 21.08 20.82 21.90 23.21 22.98 24.07 25.39 25.73 26.47 27.04 27.95 27.77 26.87 26.87 26.87 26.87 25.44 24.04 23.93 23.17 21.87 20.63 18.30 16.67 16.67 15.72 14.24 13.71 12.92 11.93 11.79 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41.03 42.49 43.97 44.47 44.88 46.14 47.73 48.77 49.54 50.60 51.39 52.18 53.23 54.02 54.56 55.88 57.19 57.75 58.32 58.62 58.92 59.53 60.15 60.97 61.61 62.13 62.47 62.47 62.23 62.49 62.85 62.77 63.08 63.42 62.95 62.52 62.52 62.08 61.25 60.42 60.00 59.58 58.33 57.08 56.25 55.42 54.60 53.44 52.22 51.45 50.34 48.79 48.09 47.89 47.60 47.51 47.45 47.17 47.51 48.69 49.59 50.69 51.48 52.88 55.03 50.09 +17.89 31.94 29.53 27.14 24.78 21.90 19.27 17.95 15.87 14.01 12.69 9.88 8.98 8.19 6.87 5.56 5.00 5.56 5.80 6.72 6.51 6.51 7.75 7.66 8.27 10.02 11.20 11.80 12.39 12.39 12.98 14.14 15.37 16.08 15.60 15.72 15.72 15.87 15.47 15.87 15.56 14.24 14.24 12.92 12.65 12.13 9.22 8.19 7.68 6.07 5.27 3.73 2.43 1.32 0.00 0.59 1.77 3.00 3.73 3.73 4.49 5.27 5.27 5.80 6.90 7.45 7.45 8.98 8.98 8.98 10.54 10.54 10.54 11.86 12.39 12.65 14.25 15.29 15.81 16.08 16.68 17.49 18.80 18.30 18.63 20.28 20.28 20.28 21.92 21.92 21.45 22.18 22.18 23.10 23.10 23.01 23.39 23.39 24.22 24.22 24.22 24.62 25.01 25.01 25.42 26.67 25.00 25.00 26.67 26.25 25.01 24.18 23.78 22.56 20.90 19.24 17.21 14.87 12.13 10.54 7.45 4.75 4.17 5.92 8.98 11.07 13.71 16.60 18.20 19.81 21.42 22.24 22.74 23.24 22.74 22.24 21.93 20.83 19.24 18.19 17.41 15.56 14.24 13.46 11.93 10.62 10.07 9.32 7.86 6.51 5.30 4.71 4.71 3.73 3.33 3.33 3.33 3.33 3.33 3.33 3.73 4.29 5.03 6.51 7.07 8.33 10.44 11.93 13.46 15.02 15.81 17.40 19.00 19.00 19.00 19.81 19.81 19.00 18.20 17.40 16.60 15.02 13.46 11.93 10.44 9.01 7.10 5.30 4.71 3.73 3.77 4.49 4.75 6.01 7.45 7.45 8.98 10.54 10.54 12.13 13.45 13.71 14.24 15.02 15.02 15.56 16.09 16.09 16.09 14.78 15.02 15.02 13.46 13.24 13.04 12.49 12.15 11.61 11.38 12.15 11.86 10.54 12.13 12.13 12.13 13.74 13.74 13.74 14.25 15.57 16.68 17.49 17.69 18.72 20.29 20.35 21.67 22.98 22.55 23.86 25.17 24.78 25.34 26.84 27.39 27.04 26.87 26.87 26.87 26.73 25.89 24.62 23.25 23.10 22.42 21.21 19.48 17.25 16.76 16.44 14.78 14.24 14.24 13.24 12.26 11.44 10.82 10.02 8.99 8.19 7.86 7.66 7.17 8.19 8.33 8.50 10.29 12.15 14.25 15.91 17.25 19.76 21.73 23.72 26.09 27.70 29.26 31.36 33.21 34.57 35.98 37.27 38.43 39.13 40.31 41.97 43.08 43.85 44.60 45.00 45.00 45.03 45.07 45.07 45.12 44.74 43.91 43.80 44.20 43.77 43.37 43.46 43.62 43.64 43.35 44.01 45.19 46.58 48.32 49.74 51.08 53.18 54.93 55.61 56.29 56.40 56.63 57.02 56.90 56.65 56.03 55.36 55.40 55.73 55.51 55.54 56.26 57.12 58.17 59.28 60.01 60.65 61.76 62.27 63.25 64.33 65.15 65.87 65.66 66.35 67.08 67.08 67.28 67.34 67.03 66.89 67.31 67.62 66.92 65.77 65.64 65.52 64.83 64.72 64.14 62.98 62.30 61.72 61.72 61.14 60.09 60.09 59.06 57.91 57.21 56.05 55.03 54.59 54.17 53.03 51.32 50.75 49.62 47.53 46.79 45.66 43.98 42.50 40.81 38.77 37.27 35.78 32.98 30.56 29.07 26.65 24.04 22.02 19.76 17.16 14.45 11.92 9.45 6.48 4.29 3.33 2.36 3.73 5.56 8.33 10.83 12.15 13.44 15.09 16.75 18.41 19.80 20.98 22.56 23.84 24.67 25.45 26.28 27.51 29.17 30.42 31.25 32.11 32.98 33.81 34.71 35.16 35.61 37.01 38.43 39.39 40.54 41.54 42.76 43.78 44.59 45.59 46.12 47.43 48.75 49.54 50.60 51.39 51.92 52.72 53.76 54.32 54.89 55.69 56.29 56.90 57.53 58.35 59.00 59.18 59.18 59.53 60.11 60.37 60.37 60.66 61.36 61.76 61.32 60.45 60.02 59.60 58.75 58.33 57.92 57.08 56.67 56.26 55.03 53.36 52.12 51.45 50.62 50.25 50.09 49.05 47.40 46.42 46.49 46.70 46.91 46.67 46.97 48.37 49.39 50.13 51.64 53.18 55.04 51.45 +17.89 31.94 29.53 26.62 23.99 21.08 18.73 17.41 14.24 12.65 11.62 8.19 7.19 7.10 6.26 4.75 4.29 5.59 5.59 5.34 6.48 7.10 8.33 9.01 9.01 10.09 11.26 11.92 13.08 13.67 13.60 14.14 15.37 16.67 16.67 16.67 16.76 17.01 16.59 16.77 16.77 15.47 15.10 14.24 13.18 12.39 10.54 8.99 7.68 6.07 5.27 3.95 2.64 1.86 0.83 1.77 2.36 2.43 2.95 3.77 4.75 5.27 5.80 6.90 7.45 7.45 7.45 8.44 8.70 9.22 10.54 10.54 10.54 12.13 12.65 12.92 15.02 15.29 15.57 16.08 16.60 18.20 18.49 17.99 18.80 19.94 20.28 20.28 21.45 21.81 20.98 21.81 22.64 23.01 22.56 22.56 23.39 23.39 24.22 24.22 23.78 24.18 25.01 24.59 25.00 26.25 25.01 25.42 26.25 25.45 25.06 24.22 23.39 22.18 20.62 19.80 16.85 14.06 12.13 10.54 7.45 4.29 4.60 6.51 9.72 11.93 14.24 16.60 18.72 20.56 21.35 22.44 23.24 22.74 22.74 22.44 21.93 20.62 19.00 18.20 16.60 15.02 14.24 13.46 11.93 10.44 9.88 8.76 7.45 6.01 4.71 4.71 4.71 3.73 3.33 3.33 3.33 3.33 3.77 4.60 4.75 4.86 5.43 5.92 6.51 8.44 10.44 11.93 13.46 15.02 16.34 17.66 18.72 19.00 19.52 20.03 19.52 19.00 18.72 17.66 16.34 15.02 13.46 11.93 9.88 8.01 6.59 5.92 5.43 3.95 3.33 3.73 4.71 6.01 7.45 7.45 8.98 10.54 10.54 12.13 12.65 12.92 14.24 15.02 15.29 14.77 15.29 15.81 15.81 15.02 14.78 15.10 14.35 13.24 12.92 12.39 12.39 11.86 10.54 12.13 12.13 10.82 11.93 11.93 11.93 13.24 13.74 13.74 13.74 15.37 16.68 16.88 17.40 17.92 18.98 19.51 20.82 21.67 21.80 23.86 24.42 24.22 24.97 26.09 27.04 26.87 26.87 26.87 26.73 26.46 26.35 25.67 23.75 22.52 21.87 20.63 19.48 18.42 16.87 16.59 15.87 14.78 14.24 13.74 13.24 12.43 12.13 11.86 10.54 8.98 8.92 8.86 8.76 9.81 10.03 10.49 12.13 14.01 15.87 16.67 17.69 20.04 21.93 24.42 26.46 27.39 29.11 30.97 32.19 33.47 34.80 35.98 37.43 38.91 40.07 40.90 41.50 41.80 42.13 42.92 43.33 43.77 44.63 45.07 45.12 44.82 43.99 43.37 43.37 43.37 42.93 42.18 41.97 42.34 42.85 44.01 45.19 46.58 48.17 49.60 51.66 53.67 54.75 55.42 55.51 55.61 56.87 56.76 56.03 55.37 54.83 54.86 54.56 54.28 54.33 54.78 55.46 56.26 56.89 57.52 58.70 60.15 61.55 61.98 62.46 63.01 63.60 65.11 65.66 66.35 67.08 66.90 66.94 67.19 67.46 66.60 65.77 66.10 66.10 65.52 64.83 64.62 63.94 63.36 63.36 62.77 62.10 60.93 60.35 60.35 59.29 58.71 58.13 56.98 56.40 55.93 54.90 53.75 52.74 52.60 51.02 50.03 49.88 47.76 46.46 45.33 44.19 43.47 41.77 39.51 38.04 36.75 35.05 32.62 30.60 28.58 26.01 23.58 21.16 19.08 16.67 14.78 12.37 9.45 7.29 5.27 3.77 4.17 5.34 6.90 8.01 9.17 11.26 13.33 14.59 15.42 16.75 17.96 19.17 21.25 22.95 23.35 24.17 25.85 26.68 27.09 27.92 28.75 29.61 30.44 31.32 32.22 33.05 33.96 35.00 35.63 36.29 37.29 38.52 39.55 40.35 42.16 43.48 44.27 45.33 46.12 47.17 47.96 48.49 49.29 50.34 50.61 50.94 52.55 53.36 53.47 54.10 54.91 55.57 55.90 56.24 56.93 57.16 57.06 57.42 57.72 57.21 56.76 57.16 57.55 57.12 56.69 56.26 55.42 54.60 53.76 53.34 52.96 52.16 51.33 50.50 50.25 49.88 48.68 47.74 47.56 47.23 46.60 46.19 45.62 45.86 46.43 46.43 47.05 48.64 49.75 51.25 52.94 54.24 50.14 +17.33 31.23 29.11 25.87 22.95 20.32 18.20 16.08 12.65 11.62 10.14 7.10 6.67 6.26 5.27 4.75 4.71 5.92 6.48 6.01 6.59 7.29 8.01 9.15 9.88 11.01 12.02 12.02 12.60 13.67 14.15 14.14 15.37 16.59 17.18 17.25 17.45 17.73 17.16 17.16 17.33 16.41 15.56 15.02 13.46 12.92 11.86 10.02 8.19 6.07 5.27 4.49 3.00 2.36 1.67 1.77 1.86 2.43 3.00 4.49 5.27 5.27 6.07 6.87 6.87 7.38 7.66 7.66 8.70 10.02 10.54 10.54 11.07 12.39 13.18 13.71 14.49 14.25 15.37 16.68 16.88 17.69 17.49 18.30 18.80 19.12 20.28 20.28 20.62 21.81 21.45 21.92 22.28 22.18 23.01 22.64 23.01 23.39 23.78 23.75 23.33 24.59 25.01 23.75 25.00 25.42 25.01 25.85 25.45 25.06 25.06 24.22 23.01 21.81 20.16 19.80 17.00 13.74 12.13 10.29 7.75 5.03 4.25 6.48 9.72 11.93 14.78 17.41 18.98 20.83 21.35 22.15 22.74 22.74 23.24 22.44 21.63 20.83 19.24 17.92 16.60 15.02 14.24 12.92 11.07 10.29 9.32 8.01 7.45 6.59 5.92 6.01 5.43 3.95 3.77 4.60 5.00 5.00 5.07 5.07 5.07 5.59 6.01 6.01 7.07 9.59 11.44 12.15 13.24 15.56 17.41 17.95 18.73 19.51 20.29 19.76 19.24 19.24 19.24 17.66 16.09 15.87 13.60 11.74 9.72 8.33 7.68 6.51 5.03 3.77 3.33 3.73 4.75 5.59 6.90 7.66 8.70 10.02 10.54 12.13 12.13 12.13 13.74 14.25 15.57 15.06 14.25 15.29 15.81 15.02 14.24 14.24 14.24 13.71 13.18 12.39 12.65 12.13 10.82 11.93 11.93 11.44 11.79 11.79 11.79 12.61 13.44 13.44 13.44 14.73 15.37 16.08 17.40 17.40 18.20 18.72 19.51 20.35 20.90 22.98 23.31 23.67 24.78 25.34 25.91 26.31 26.87 26.87 26.01 25.89 25.89 25.09 24.34 23.05 22.42 21.21 19.53 19.00 17.45 16.03 15.66 15.32 15.02 14.25 13.74 13.45 12.65 12.15 11.38 10.44 10.03 10.09 11.18 11.33 11.79 12.92 14.06 15.81 17.18 17.73 19.08 21.29 22.98 24.78 26.03 26.46 28.17 30.20 31.31 32.50 33.75 34.80 36.18 37.60 38.57 38.91 39.13 39.76 40.52 41.70 42.92 43.34 42.97 42.18 41.80 42.33 43.16 42.97 42.13 41.70 41.67 41.74 41.50 41.52 42.04 42.69 44.21 46.40 48.17 50.05 52.12 53.67 54.67 54.67 55.33 56.67 57.35 56.51 55.88 55.77 55.53 55.17 54.29 53.66 53.64 54.02 54.66 55.42 56.44 57.06 57.75 59.16 60.23 60.90 61.67 62.23 62.83 63.80 64.14 64.85 65.60 65.81 65.89 65.60 65.90 66.34 66.10 65.30 64.72 64.62 63.94 63.84 63.75 62.59 62.00 62.00 62.00 61.42 60.26 59.58 58.42 57.35 57.35 56.77 55.61 54.55 54.08 53.51 51.77 51.08 50.17 49.16 48.89 47.31 46.31 45.74 44.60 43.88 42.74 41.04 39.59 37.88 36.59 34.59 32.02 30.05 28.20 25.77 23.25 21.34 18.94 17.09 14.74 12.43 10.29 7.45 6.37 5.56 5.43 5.92 5.59 6.87 8.70 10.14 11.70 12.92 14.17 15.83 16.69 17.13 18.33 20.00 21.73 22.56 22.52 22.95 23.78 24.59 25.42 26.25 27.11 28.38 29.66 30.18 30.76 31.87 32.86 33.86 35.08 36.12 36.92 38.21 39.27 40.06 41.12 41.90 42.97 43.75 44.27 45.07 46.12 47.18 47.80 48.61 49.63 49.72 49.85 50.67 51.32 52.14 52.81 53.51 53.86 53.75 53.65 53.57 53.50 53.44 53.39 53.39 53.39 53.36 53.36 52.93 52.12 51.69 51.27 50.50 50.11 49.72 48.51 47.39 46.67 45.97 45.77 45.92 45.78 45.17 45.10 45.07 45.07 45.89 46.19 46.29 47.73 49.19 50.13 51.43 53.11 49.63 +16.41 30.73 28.61 25.17 22.24 19.30 17.00 14.73 11.79 10.49 8.76 6.67 6.26 5.27 4.75 4.71 4.75 6.01 7.29 7.66 8.44 8.98 8.98 9.52 10.29 11.18 12.15 12.87 13.29 13.67 14.78 15.37 16.50 17.10 17.72 18.42 18.61 18.87 17.73 17.33 17.73 17.41 16.09 15.32 14.24 13.45 12.13 10.54 8.98 6.90 5.80 4.49 3.00 2.36 1.32 1.18 1.86 2.64 3.17 4.49 5.27 5.27 6.07 6.87 6.87 7.68 8.19 7.66 8.98 10.54 10.54 10.54 11.86 12.39 12.65 13.74 13.74 14.25 15.57 16.68 17.00 17.00 17.00 18.63 18.63 18.63 20.28 20.28 20.28 21.45 21.81 21.81 21.81 21.81 23.01 22.56 22.56 22.95 22.92 23.33 23.33 25.00 25.00 23.33 24.59 25.01 25.01 25.45 25.06 24.67 25.12 24.67 22.18 21.45 20.28 19.12 17.18 14.25 12.13 9.52 7.10 5.59 5.07 7.07 9.72 12.49 15.32 17.66 18.45 20.32 21.93 21.63 22.44 23.75 22.95 22.44 22.15 20.56 18.72 17.40 16.60 15.02 13.71 12.39 11.38 10.62 9.32 8.44 7.75 7.17 6.48 6.01 5.03 4.25 4.75 5.07 5.00 5.00 5.07 5.07 5.56 6.35 6.72 7.29 8.33 10.67 12.02 12.02 13.44 16.41 17.95 17.95 19.27 19.81 20.04 20.04 19.81 19.81 19.81 17.73 16.41 16.41 13.44 11.44 10.17 8.86 7.07 5.30 3.73 3.33 3.33 3.73 5.43 5.80 6.07 7.68 8.50 9.32 10.14 11.44 11.93 11.93 13.24 13.74 15.37 15.37 13.74 14.25 15.29 15.29 14.25 13.74 13.74 13.74 12.65 12.39 13.45 12.13 11.62 11.93 11.93 12.26 11.79 11.79 12.15 12.53 12.98 13.44 13.44 13.91 14.39 15.21 16.51 16.68 17.40 18.19 18.49 19.81 20.58 21.67 22.55 22.92 24.04 25.34 25.34 25.17 26.31 26.87 25.44 25.44 25.44 23.93 23.75 23.05 22.42 21.21 19.48 18.35 17.45 16.59 15.47 14.78 15.02 14.49 13.45 12.92 12.15 11.74 11.01 10.75 11.20 11.26 12.87 13.71 13.91 15.00 15.92 17.00 18.20 19.27 20.32 22.31 23.75 24.78 25.93 26.03 27.42 29.47 30.60 31.12 32.07 33.50 34.53 35.08 35.98 36.94 37.61 38.66 39.76 40.08 40.44 40.84 40.91 41.35 41.80 41.87 41.87 41.35 40.91 40.87 40.84 41.35 41.42 41.03 41.23 42.16 44.00 45.49 47.31 49.81 51.34 52.33 53.95 54.60 55.77 56.42 56.00 55.61 55.48 55.46 54.42 53.18 52.44 52.26 52.63 53.28 53.44 53.75 55.10 56.23 56.10 56.55 58.11 59.58 60.88 61.45 62.05 62.83 62.63 63.36 63.95 64.03 64.31 64.62 64.49 64.95 65.78 65.20 64.62 64.42 63.75 63.08 63.00 62.42 61.25 60.67 60.59 59.93 58.76 58.18 57.67 56.58 56.00 56.00 55.42 53.76 52.60 51.92 50.86 50.39 49.35 48.19 48.07 47.17 46.16 45.45 44.30 43.59 42.45 41.16 39.88 38.16 36.75 35.37 33.42 31.00 29.17 27.34 25.51 23.64 21.22 19.45 17.10 15.37 13.76 10.29 8.98 7.68 5.83 5.56 4.86 5.92 7.29 7.66 8.70 10.14 11.79 12.98 13.36 13.91 15.09 16.30 16.85 17.21 18.41 19.69 20.07 20.45 21.25 22.09 23.33 24.59 25.06 25.22 25.69 27.13 28.61 29.61 30.85 31.89 32.69 33.75 34.28 35.32 36.92 37.45 37.99 39.02 40.06 40.59 41.37 42.70 43.27 43.56 44.88 45.98 46.10 46.42 47.07 47.89 48.57 49.26 50.09 50.44 50.34 50.62 51.00 50.56 50.06 50.06 50.06 50.03 50.03 49.63 48.84 47.96 47.13 46.79 46.79 46.48 45.38 44.19 43.84 43.98 43.80 43.16 43.05 43.27 43.50 44.01 44.28 44.57 45.19 45.52 46.07 47.89 49.01 49.75 51.43 48.91 +16.34 30.56 27.13 24.04 21.92 18.15 15.56 13.81 11.26 9.59 8.01 6.87 5.80 4.75 4.75 5.43 5.80 6.59 7.66 8.19 8.99 10.02 10.54 10.54 10.54 11.38 12.49 13.04 13.87 14.45 15.60 16.59 17.10 17.69 17.77 18.50 19.30 19.44 18.87 18.46 18.63 18.63 17.33 16.41 15.56 14.24 12.92 11.07 8.98 7.45 6.90 5.03 3.00 2.36 1.86 1.86 2.36 3.00 3.73 4.49 5.27 5.80 6.90 7.45 7.45 7.66 8.70 8.44 8.98 10.54 10.54 10.54 12.13 12.13 12.13 13.74 13.74 15.06 15.57 15.87 17.00 17.00 17.00 18.63 18.63 18.63 20.28 20.28 20.28 20.62 21.35 21.73 21.73 21.73 22.12 22.52 22.95 22.56 22.12 22.92 23.33 24.59 25.01 23.75 23.75 24.62 25.06 25.06 24.67 24.30 25.12 24.40 22.06 21.25 20.43 18.80 16.88 15.02 12.69 9.72 7.07 5.80 6.37 8.33 10.67 13.44 15.10 17.66 18.98 19.76 22.44 22.15 22.67 23.75 22.44 22.44 21.93 19.81 18.20 17.40 16.60 15.02 13.46 12.69 11.93 10.44 9.72 9.01 7.68 7.10 5.92 4.71 4.29 4.75 4.75 4.25 4.60 5.00 5.07 5.56 6.07 5.80 6.59 7.75 8.33 10.67 12.02 12.60 14.45 17.16 18.63 18.63 19.59 19.81 20.35 20.90 20.14 20.14 19.59 17.52 16.77 16.21 13.44 10.75 9.59 8.33 6.51 5.43 3.95 3.33 2.95 2.95 5.03 6.35 6.59 7.68 8.50 9.32 10.14 10.96 11.79 11.79 12.61 13.44 14.73 14.87 13.74 13.74 14.25 15.57 15.06 13.74 13.74 13.74 12.13 12.13 13.74 12.43 11.93 11.93 12.26 12.98 11.70 11.70 12.92 12.09 12.15 13.44 13.44 13.44 14.26 14.73 15.69 15.87 16.08 17.13 17.41 19.27 20.35 20.69 21.80 22.36 22.92 24.78 25.34 24.61 25.17 26.31 25.44 25.31 25.77 24.34 23.75 22.58 21.29 20.63 19.45 18.42 17.58 17.16 16.77 15.56 14.78 14.24 13.71 13.46 13.46 13.60 12.72 11.84 11.80 12.02 13.24 15.29 16.18 16.75 17.50 18.41 19.94 20.83 21.36 23.31 24.45 24.51 25.51 25.93 27.13 28.38 28.67 29.15 30.60 31.68 32.19 33.47 34.80 35.48 36.12 36.78 37.37 38.03 38.37 38.75 39.64 40.08 40.14 40.22 40.22 40.14 40.08 40.03 39.59 38.86 38.93 40.21 41.23 42.16 44.00 45.49 47.17 49.02 50.58 52.26 53.88 54.47 55.64 55.70 55.26 56.00 55.82 54.59 53.51 52.76 51.94 51.68 51.66 51.74 52.22 52.51 52.56 53.28 54.46 55.57 56.80 57.47 58.78 59.89 60.51 62.07 62.43 62.43 62.90 63.03 62.89 63.79 63.68 63.46 64.33 63.84 63.75 63.59 62.93 62.21 61.04 61.04 60.39 58.63 58.58 58.53 57.35 56.23 55.70 55.12 53.95 53.36 53.36 52.33 51.75 51.09 49.50 49.02 48.54 47.96 47.28 45.77 45.19 44.49 43.34 42.64 41.49 40.80 39.64 38.37 37.01 35.75 35.08 33.33 31.43 28.97 26.58 25.34 23.57 21.81 19.45 17.72 16.67 13.76 11.58 9.88 8.44 6.72 5.43 6.07 5.43 5.30 5.92 6.15 6.90 7.38 8.50 10.02 10.82 11.44 12.43 13.74 14.87 15.69 16.38 16.75 17.13 18.41 19.62 20.00 20.45 21.45 21.92 22.40 23.55 24.27 25.03 26.35 27.67 29.33 30.10 30.58 31.96 33.05 33.81 34.28 35.32 36.92 37.42 37.96 38.75 39.32 40.13 40.93 41.54 42.17 42.49 42.82 43.50 43.84 44.19 45.02 45.74 46.40 46.85 46.85 46.73 46.73 46.34 45.86 45.86 45.51 45.12 44.68 43.85 43.46 43.08 42.79 43.37 43.84 43.50 42.49 41.54 41.23 41.74 42.47 42.43 42.69 43.50 43.56 43.88 44.97 45.52 46.77 47.89 48.64 49.75 46.29 +16.60 29.94 25.69 23.10 21.35 17.13 14.59 13.33 10.42 8.50 7.66 7.29 6.48 6.01 5.80 6.59 6.87 7.19 8.50 9.32 9.32 10.14 11.62 12.13 12.13 12.65 13.46 13.60 14.01 14.58 14.92 15.92 16.50 17.72 18.42 18.61 19.44 19.44 19.44 19.59 19.19 18.63 18.08 17.73 16.64 14.78 13.46 12.15 9.52 7.45 7.45 6.01 4.12 3.00 2.95 2.95 2.43 3.00 4.29 4.86 5.59 6.35 6.59 6.87 6.87 7.38 8.70 8.70 9.22 10.54 10.54 10.54 12.13 12.13 12.13 13.74 13.74 15.37 15.37 15.37 17.00 17.00 17.00 18.63 18.63 18.63 20.28 20.28 20.28 20.28 20.62 21.35 21.73 21.73 21.73 22.12 22.92 22.92 21.68 22.09 23.33 23.75 24.62 24.22 23.39 23.84 25.12 25.12 23.93 24.40 24.87 23.37 22.55 21.58 19.94 18.49 16.34 15.10 13.44 10.67 8.33 6.87 6.87 8.33 10.67 13.44 14.91 17.95 19.51 19.51 22.15 22.44 22.95 22.95 22.44 22.44 21.12 19.81 18.72 17.66 16.34 15.02 13.46 12.15 11.07 10.29 9.32 8.01 7.29 6.51 5.30 4.71 4.75 5.03 5.07 5.07 5.07 5.43 5.89 6.07 6.59 7.38 8.58 9.01 9.59 11.20 12.50 13.76 15.60 17.58 18.46 19.19 19.76 20.50 21.25 20.69 20.14 20.14 18.83 17.52 16.77 15.47 13.44 10.67 9.45 8.27 6.51 5.03 3.77 3.33 3.17 3.58 4.49 6.07 6.87 8.01 8.37 8.84 10.14 11.32 11.70 11.70 12.53 12.98 13.91 14.06 13.74 13.74 14.06 15.21 14.87 13.74 13.74 13.74 12.43 12.26 13.44 12.61 11.79 12.15 12.92 13.33 11.67 11.67 13.33 12.09 11.70 12.92 13.33 13.33 13.76 13.81 14.73 14.87 15.06 16.08 16.60 17.92 18.98 19.27 20.14 21.80 22.36 23.67 24.78 24.61 24.45 25.58 25.44 24.62 25.09 24.42 23.83 23.10 21.81 21.21 20.07 18.50 17.45 16.44 16.21 15.87 15.10 14.24 14.24 14.01 13.24 13.44 13.76 13.57 12.98 13.87 14.55 16.08 17.49 18.50 19.59 20.07 21.92 22.24 22.67 24.78 25.39 24.61 25.44 26.25 26.58 27.70 28.34 28.67 29.47 29.73 29.81 30.97 32.19 32.97 33.86 34.49 35.00 35.61 36.31 37.09 37.54 37.58 38.03 38.56 38.56 38.48 38.41 38.77 39.17 38.81 38.56 39.06 39.62 40.59 42.49 44.03 46.34 48.92 51.09 52.77 53.88 54.42 54.96 55.00 55.70 56.42 55.03 53.75 53.18 52.36 51.45 50.61 50.23 50.69 51.45 51.67 51.73 52.36 53.51 54.26 55.18 55.88 56.93 58.34 58.98 60.21 61.31 61.35 62.03 62.89 62.76 62.98 62.77 62.68 63.67 63.00 62.27 62.15 61.51 61.46 60.34 59.70 59.62 57.89 57.31 57.86 57.31 56.18 55.00 54.37 53.19 52.02 51.43 50.37 50.37 50.37 48.75 47.67 47.18 47.09 46.42 44.27 43.69 43.69 43.11 42.43 41.27 40.69 40.01 38.67 37.42 36.25 35.60 34.36 33.08 31.28 28.90 27.11 25.34 24.17 21.81 20.07 19.00 16.67 14.34 12.02 11.01 9.32 7.12 6.87 5.56 5.00 4.75 4.29 4.75 4.75 6.01 7.29 7.45 7.66 9.32 10.62 10.54 10.54 11.33 12.75 13.44 13.57 13.91 14.59 15.42 16.38 17.33 18.15 19.00 19.76 21.08 22.14 22.44 23.86 25.17 25.39 26.28 27.59 29.11 30.10 30.58 31.96 32.19 32.41 34.00 34.80 35.08 35.89 36.48 37.10 37.92 38.57 38.91 39.25 39.95 40.78 41.14 40.59 40.59 41.42 41.74 41.74 41.80 41.30 40.87 41.35 41.80 41.80 41.80 41.42 40.68 40.31 40.42 40.55 40.37 40.23 40.73 40.93 40.13 40.07 40.59 40.59 41.16 42.02 42.79 43.88 44.76 45.66 46.97 48.28 49.39 46.29 +15.57 28.44 25.06 22.12 20.42 16.67 13.76 12.98 9.81 7.66 7.45 6.59 6.01 6.90 6.87 7.19 8.01 8.76 9.59 10.49 11.32 11.70 12.26 13.24 13.74 13.74 14.24 14.91 14.91 15.15 15.42 15.95 17.10 18.28 19.53 20.25 20.45 20.01 19.59 19.94 19.59 18.49 17.95 17.95 17.41 15.56 13.46 12.69 10.62 8.01 7.45 6.01 4.71 3.58 2.12 2.12 2.64 2.95 4.49 5.03 5.59 5.80 6.07 6.87 6.87 8.19 8.70 8.70 10.02 10.54 10.54 10.54 12.13 12.13 12.13 13.74 14.25 15.57 15.06 15.37 17.00 17.00 17.00 18.63 18.63 18.63 20.28 19.80 19.69 20.07 20.52 20.98 21.35 21.29 21.68 21.68 22.09 23.33 21.67 21.67 23.33 23.33 23.75 23.78 23.39 23.39 24.67 24.76 23.57 24.04 24.19 23.37 22.88 21.74 19.52 18.19 16.64 14.55 12.87 10.67 8.33 6.87 6.87 8.33 10.67 13.44 15.47 18.28 19.27 19.51 21.35 22.44 23.24 22.44 22.44 22.44 20.83 19.52 19.00 17.40 15.81 15.02 12.92 11.61 11.38 10.62 8.76 7.45 7.45 6.01 5.30 5.92 5.43 4.86 4.75 5.07 5.07 5.56 6.37 6.87 7.66 8.44 8.76 9.01 10.09 11.21 13.02 14.34 15.72 17.16 17.89 19.94 20.32 20.88 21.06 20.50 20.50 19.94 18.63 17.33 16.21 14.91 13.44 10.67 9.43 8.27 6.01 4.49 4.17 3.77 3.58 4.29 4.75 6.26 6.67 8.33 8.33 8.33 10.00 11.67 11.67 11.67 12.09 12.15 13.44 13.44 13.44 13.44 14.26 14.73 14.06 13.74 13.74 13.74 13.24 13.08 13.44 12.61 12.15 12.92 13.33 13.33 11.67 11.67 13.33 12.92 12.15 12.15 12.92 13.33 13.33 12.92 13.44 14.06 14.25 15.57 16.37 16.88 17.92 18.19 18.49 20.14 21.80 22.92 24.04 24.61 23.88 24.45 24.87 24.04 24.04 24.04 23.25 22.46 21.83 20.63 19.45 17.77 16.76 16.44 15.47 14.91 14.91 14.24 14.24 14.35 13.60 13.29 13.60 14.14 14.15 15.60 16.77 17.66 18.49 20.28 21.73 21.67 23.39 23.57 23.86 25.87 26.35 25.39 26.09 26.87 26.35 27.34 27.75 27.13 27.85 28.67 29.15 29.63 30.01 30.33 30.85 31.94 33.18 33.59 33.88 34.61 35.44 36.31 36.75 36.90 36.90 36.82 37.14 37.51 37.50 37.97 38.10 37.75 38.52 39.80 41.18 43.16 46.12 48.17 49.72 51.39 52.56 53.74 54.91 55.54 55.59 54.47 52.92 52.70 52.16 50.69 49.46 48.75 48.82 48.87 48.59 49.19 50.86 51.91 52.21 52.63 53.87 55.36 56.40 57.57 58.21 58.70 59.66 60.47 61.17 61.49 61.83 62.10 62.00 61.92 62.27 62.15 61.51 61.42 60.80 60.21 59.62 59.00 58.97 57.82 56.62 56.01 55.44 54.85 53.67 53.06 51.91 51.32 50.14 48.45 48.45 48.45 47.38 46.27 45.10 45.10 45.75 44.76 43.59 42.92 42.34 42.34 41.67 39.92 39.83 39.76 38.59 37.35 36.07 34.85 34.22 33.05 31.84 30.05 27.11 25.93 24.19 21.87 20.76 18.94 17.13 15.37 13.60 12.43 10.67 9.01 7.45 6.59 5.56 4.60 4.60 3.95 5.03 5.43 4.71 5.30 6.51 6.51 5.92 6.59 7.75 8.01 8.19 8.70 9.22 9.66 10.00 10.49 11.79 13.08 14.49 15.81 17.13 18.28 18.83 19.94 21.06 21.80 22.92 23.67 24.42 25.17 25.39 26.28 27.25 27.67 28.46 29.52 30.05 31.14 32.24 32.86 33.67 33.99 34.32 35.00 35.36 35.71 36.54 36.90 36.82 36.82 36.75 37.14 38.03 38.03 37.14 36.75 36.82 36.82 36.82 36.90 37.01 37.01 37.13 36.94 36.79 37.29 37.80 38.23 37.96 37.68 38.48 39.02 39.62 40.16 40.93 41.80 42.69 44.00 45.31 46.22 46.97 45.28 +14.26 27.55 24.62 21.25 19.59 16.30 13.44 12.26 9.22 7.29 7.75 7.10 6.59 7.38 8.01 8.76 9.59 10.00 10.00 10.42 11.26 11.70 11.79 12.26 13.24 13.74 14.24 14.91 14.91 15.72 16.67 16.67 17.72 18.87 19.59 20.34 21.03 21.16 20.88 20.50 20.50 20.14 18.49 17.95 17.95 16.64 14.24 12.39 10.83 8.76 7.45 6.01 4.71 4.12 2.43 1.86 2.43 3.58 4.75 5.03 5.27 5.80 6.90 7.45 7.45 8.44 8.70 9.22 10.54 10.54 10.54 10.54 12.13 12.13 12.13 13.74 15.06 15.57 14.77 15.57 16.68 17.00 17.00 18.63 18.63 18.63 19.80 18.87 19.24 20.07 20.90 20.90 20.45 20.85 21.68 21.25 21.67 22.92 21.68 22.09 22.92 22.95 23.39 23.39 23.39 23.39 23.84 23.93 23.57 23.57 23.57 23.22 22.24 21.35 19.76 17.66 16.87 14.55 12.15 10.67 8.33 6.87 6.87 8.92 11.80 13.76 16.03 18.28 18.49 19.51 21.08 22.67 22.95 22.44 22.44 21.93 20.62 19.00 18.49 17.18 15.57 14.25 12.65 12.15 11.93 9.88 8.01 7.45 7.45 6.59 6.48 6.51 5.59 5.03 4.49 4.75 5.56 6.07 6.07 6.59 7.45 7.45 8.01 9.59 10.67 11.80 13.57 14.84 16.18 17.58 18.87 20.88 20.88 20.88 20.88 20.88 20.88 19.59 19.02 17.58 16.30 15.15 13.29 10.67 8.84 7.10 5.59 5.27 4.60 3.73 3.58 4.75 5.43 6.67 6.67 8.33 8.76 8.84 10.14 11.32 11.26 11.67 11.67 11.67 13.33 13.33 12.92 12.98 13.91 14.06 13.74 13.74 14.06 13.91 13.44 13.44 13.44 12.98 12.92 13.33 13.33 13.33 12.09 12.15 13.44 12.98 12.53 12.15 12.15 12.92 12.92 12.15 12.61 13.44 13.44 14.73 15.37 15.81 17.41 17.73 18.28 19.04 20.14 21.80 22.92 24.04 23.88 23.88 23.88 23.15 23.01 23.46 22.67 21.34 21.34 20.07 18.87 18.35 16.87 16.44 15.87 14.91 14.91 14.01 13.24 13.44 13.44 13.76 14.15 14.14 14.84 15.87 17.73 19.24 19.30 21.58 23.10 23.39 25.00 25.06 25.22 27.13 27.49 26.35 26.93 27.59 26.87 27.16 26.93 26.62 27.70 27.80 27.42 27.74 28.73 28.90 29.26 30.31 30.62 31.24 31.84 32.15 33.33 34.21 33.88 34.33 35.99 36.82 36.31 35.44 35.00 35.09 35.61 36.94 38.23 39.02 40.63 43.59 46.01 46.92 49.04 51.32 51.91 53.06 54.24 54.85 54.33 53.24 53.36 53.09 51.90 50.51 49.24 48.24 48.25 47.73 47.39 48.01 48.34 48.96 50.44 51.81 52.55 53.52 54.82 56.03 56.69 57.77 58.93 59.60 60.21 60.09 61.03 61.92 61.25 61.10 61.51 61.42 60.80 60.74 60.13 58.95 58.35 57.76 57.75 56.57 55.39 54.80 54.21 53.04 51.85 51.85 50.68 50.09 49.51 47.79 47.17 46.58 45.47 44.92 44.39 43.86 43.93 44.00 43.42 42.76 41.59 41.00 41.52 40.35 39.18 39.70 39.05 37.83 37.20 35.99 34.79 33.61 33.00 31.83 29.46 27.70 26.54 24.78 23.01 21.22 19.45 17.72 15.33 14.15 12.98 11.80 10.67 8.92 7.75 6.59 6.01 5.43 5.80 5.27 3.95 4.60 5.00 5.43 4.75 5.03 6.15 5.34 4.75 5.43 6.01 5.80 6.26 7.10 7.93 8.50 9.52 10.29 11.38 13.44 14.73 15.87 17.01 17.73 18.87 19.59 20.32 20.88 21.06 22.36 23.53 23.99 23.99 24.78 25.83 26.39 27.19 27.80 28.61 29.42 30.08 30.41 30.76 31.47 32.30 33.13 33.50 33.50 33.43 33.37 33.43 33.88 34.26 33.88 33.50 33.50 33.50 33.59 33.71 33.71 33.84 34.17 34.36 34.36 34.57 35.32 36.10 36.10 36.63 37.45 38.30 39.07 39.62 40.28 40.83 41.59 42.69 44.35 45.31 42.66 +14.26 27.55 23.78 20.42 18.35 15.21 13.74 11.86 9.15 7.66 8.33 8.76 8.50 8.84 9.59 10.00 10.42 11.26 11.67 11.67 11.67 12.09 12.61 12.61 13.08 13.74 14.24 14.91 14.91 15.72 16.67 16.59 17.09 18.35 19.67 20.45 20.58 21.29 22.18 21.06 20.69 21.12 19.27 17.95 17.95 17.41 15.56 12.92 11.07 8.98 7.45 6.15 4.29 3.58 3.17 2.95 2.43 3.00 3.73 4.49 5.27 6.07 6.87 6.87 7.38 7.91 8.70 9.50 9.81 10.14 10.62 10.82 12.13 12.13 12.13 13.74 15.37 15.37 14.55 15.37 16.18 17.00 17.00 18.63 18.63 18.15 18.87 18.87 19.80 20.28 20.62 20.52 20.07 20.90 21.29 20.85 21.68 21.67 21.68 22.92 22.09 22.12 23.39 23.01 23.10 23.57 23.57 23.57 23.57 23.57 23.22 22.55 21.42 20.32 20.03 17.66 16.64 14.91 12.02 10.62 9.15 8.50 8.50 10.17 12.39 13.67 15.87 17.73 17.95 19.51 21.08 22.67 22.67 22.15 22.44 21.63 20.32 19.00 18.20 16.88 15.06 13.74 13.45 12.39 11.07 8.98 8.01 8.44 7.75 7.17 6.51 5.30 4.75 5.03 5.27 5.27 5.80 6.07 6.07 6.90 7.45 8.01 9.15 10.17 11.26 12.98 14.14 15.37 17.25 18.50 19.88 21.29 20.72 20.88 20.88 20.88 20.88 19.44 18.87 17.58 16.18 14.34 12.60 10.67 8.27 6.59 5.59 4.75 3.95 4.12 4.29 5.27 6.37 7.10 6.67 8.33 9.59 9.66 10.14 10.49 10.87 11.70 11.26 11.67 13.33 12.92 12.15 12.61 13.44 13.44 13.44 13.44 14.26 14.26 13.44 13.81 13.76 13.33 13.33 13.33 13.33 13.33 12.92 12.98 13.44 12.61 12.15 12.53 11.70 12.09 12.09 11.70 12.53 12.98 13.44 13.91 13.74 14.49 16.34 16.64 17.73 18.83 19.38 20.69 21.80 22.92 23.31 23.88 23.88 23.15 22.31 22.77 22.67 21.34 21.34 20.07 18.30 18.42 17.45 16.30 15.72 14.91 14.91 14.35 13.60 13.44 13.29 13.60 14.14 14.15 15.60 16.59 18.49 20.56 20.62 22.40 23.93 25.06 26.25 26.68 26.78 28.17 28.29 27.30 27.70 28.20 27.80 27.04 26.73 27.04 27.34 26.52 26.58 27.34 27.62 27.60 28.35 28.48 28.46 29.11 29.82 30.56 31.27 32.11 33.05 33.43 33.43 33.88 34.26 34.21 34.59 35.09 35.25 35.79 36.64 37.99 40.44 43.46 45.34 46.34 49.59 51.30 51.30 53.04 53.63 53.63 53.06 53.15 53.83 52.33 50.39 48.74 47.53 46.97 46.91 46.60 46.67 46.79 47.09 48.06 48.68 49.68 51.24 52.20 53.26 54.49 55.18 56.28 57.32 58.03 59.51 59.98 60.26 61.10 60.39 59.70 60.21 60.74 60.12 59.52 59.52 58.93 57.75 56.57 56.60 56.03 54.24 53.05 53.65 53.06 51.28 50.69 50.10 48.91 48.32 47.74 47.14 45.98 44.85 44.29 43.75 43.16 41.99 41.40 41.40 41.40 40.87 40.35 40.87 40.81 39.11 39.05 39.55 38.37 37.75 37.13 35.36 33.59 33.61 32.43 30.65 29.49 27.72 26.54 24.76 22.99 21.25 19.48 17.09 15.91 14.73 13.57 13.57 12.43 11.26 10.09 8.92 8.27 8.27 7.07 6.48 6.59 6.15 6.59 5.27 5.27 6.37 4.60 3.77 3.95 3.73 3.58 3.17 3.77 4.60 5.27 6.15 6.90 7.86 8.92 10.09 11.26 12.43 13.08 14.25 14.92 15.72 17.45 17.73 18.63 19.38 19.38 19.59 20.04 21.08 22.15 22.95 23.55 24.36 25.50 26.31 26.31 26.52 27.24 28.07 28.53 28.53 28.90 29.66 29.66 29.27 29.66 30.10 30.18 30.18 30.18 30.18 30.29 30.41 30.41 30.56 31.23 31.94 31.94 32.45 33.21 34.00 34.53 34.53 35.36 36.44 37.22 38.08 38.97 39.73 40.28 40.83 42.14 43.45 41.04 +13.81 26.67 23.35 20.02 16.75 14.06 13.45 11.18 9.45 8.33 8.01 8.44 8.84 9.59 10.00 10.42 11.32 11.70 12.09 12.92 13.33 13.33 13.44 13.44 13.44 13.74 14.24 14.91 14.91 15.72 16.67 17.13 17.69 18.35 19.67 21.03 21.16 21.45 22.36 21.80 21.45 21.67 20.35 18.49 18.19 17.66 16.09 14.01 11.93 9.88 8.01 6.72 5.43 3.54 2.95 3.33 2.95 2.95 3.73 5.03 5.59 5.80 6.87 6.87 7.68 8.19 8.70 8.99 9.32 10.14 10.96 11.44 11.93 11.93 12.43 13.74 14.87 15.21 14.39 15.21 16.51 17.00 17.00 18.15 18.50 17.68 18.50 19.80 19.80 19.69 20.07 20.07 20.07 20.45 20.42 21.25 21.68 20.42 21.67 22.92 21.68 21.68 22.95 22.56 22.18 23.10 23.57 23.57 23.22 23.37 23.05 22.24 21.42 19.81 19.52 17.41 16.21 15.30 12.50 10.62 9.32 8.50 8.50 9.59 11.26 13.29 15.30 16.97 18.49 19.81 20.82 22.67 22.67 21.35 21.93 21.42 19.81 19.00 18.20 16.60 15.02 13.71 13.45 12.13 10.54 8.98 8.76 9.15 7.10 6.59 6.01 4.71 4.71 4.75 5.03 5.80 6.90 6.87 6.87 7.45 8.01 9.15 9.72 10.17 11.80 13.55 14.14 15.37 17.92 19.08 20.34 21.16 20.58 21.29 21.29 21.29 20.72 19.44 18.15 17.01 15.72 13.67 12.43 10.62 8.33 6.90 5.27 3.77 3.73 4.75 5.03 5.27 7.19 7.93 7.10 8.84 10.14 10.14 10.14 10.14 10.96 11.32 10.87 11.70 12.92 12.09 11.70 12.92 13.33 13.33 13.33 13.33 13.76 13.81 13.44 14.26 14.64 13.76 13.33 13.33 13.76 13.81 13.44 13.44 13.44 12.61 11.79 12.15 11.70 11.70 11.70 11.70 11.67 12.15 13.08 13.24 12.65 13.71 15.56 16.09 16.64 17.52 19.38 20.14 20.69 21.80 22.36 22.92 23.31 23.01 22.19 22.19 22.09 21.34 21.34 20.07 17.72 17.25 17.34 16.76 15.72 14.91 14.91 14.91 14.91 14.73 14.45 14.84 15.33 15.37 16.18 17.73 19.81 21.08 22.15 23.86 25.22 26.33 27.11 28.33 28.38 28.90 28.99 28.77 28.61 28.80 28.73 26.93 26.84 27.04 26.73 26.25 26.54 26.54 26.09 26.35 26.31 26.48 27.16 27.42 27.95 28.53 28.83 30.00 31.32 31.39 30.93 31.32 32.15 32.94 33.34 33.88 34.89 35.30 35.84 37.53 39.51 42.06 44.59 46.27 48.96 50.09 50.68 53.04 53.62 53.63 53.64 53.67 53.15 51.02 49.60 48.45 47.14 46.51 45.86 45.17 45.14 45.57 46.25 46.79 47.03 47.89 49.42 50.61 51.69 53.18 54.42 55.37 56.45 57.33 58.24 59.09 59.35 59.70 59.62 59.00 58.95 59.51 59.53 58.35 57.77 57.82 56.62 56.03 56.09 55.50 54.29 52.50 52.53 52.56 50.76 49.55 49.55 48.35 46.57 45.98 45.97 45.38 44.21 43.05 42.49 42.49 41.94 41.40 41.40 41.40 40.87 40.28 40.18 40.14 39.05 39.00 39.50 38.32 37.72 37.71 37.12 35.36 34.79 33.61 31.83 31.25 29.49 27.72 25.93 24.76 23.57 22.40 20.07 18.35 17.77 16.01 14.84 14.34 13.87 13.29 12.02 10.75 10.67 9.72 9.72 10.09 9.45 9.43 8.27 7.66 8.33 7.10 5.92 5.43 4.29 3.73 2.43 1.32 0.83 1.32 2.36 3.58 5.34 5.92 7.10 8.33 8.86 10.03 11.80 12.39 11.84 13.02 13.76 14.01 15.15 15.87 16.21 16.64 17.13 17.92 19.00 19.81 19.81 19.94 20.92 22.06 23.10 23.47 23.47 23.93 24.76 25.12 25.06 25.12 25.50 25.89 25.58 25.58 26.41 26.87 26.87 26.99 27.13 27.13 27.30 27.49 28.22 29.02 29.53 30.05 30.58 31.65 32.19 32.73 33.81 34.36 35.24 36.55 37.86 38.97 39.73 40.28 40.83 38.91 +13.33 25.42 22.95 19.69 15.69 13.74 12.39 10.17 9.43 8.33 7.66 8.19 8.76 9.59 10.00 10.49 11.44 11.70 12.15 12.98 13.33 13.33 13.44 13.44 13.44 13.74 14.24 14.91 14.91 15.72 16.59 17.10 18.28 19.00 19.30 20.01 21.29 22.18 22.55 22.21 21.67 21.67 21.12 19.51 18.72 17.40 15.81 14.24 11.93 10.62 8.76 6.59 6.51 4.75 2.95 2.50 2.95 3.73 4.71 5.43 5.59 6.15 7.45 7.45 7.66 8.19 8.50 8.99 10.02 10.54 10.82 11.93 11.93 11.93 13.24 13.74 14.06 15.21 14.87 15.37 17.00 17.00 17.00 17.33 18.50 18.15 18.63 19.80 18.87 19.24 20.07 20.07 20.07 20.07 20.07 21.29 21.25 20.00 21.67 22.09 21.68 21.68 22.12 22.56 21.73 22.18 23.10 23.57 22.40 22.55 23.05 21.93 21.35 20.56 19.24 16.64 15.47 15.15 13.02 10.62 8.58 8.01 8.50 9.72 11.79 13.76 15.30 16.77 19.04 19.81 20.04 22.67 22.67 21.08 21.35 21.12 19.81 19.00 17.69 16.37 15.29 12.92 12.65 12.13 10.54 8.98 8.44 8.70 6.15 6.01 6.01 5.30 5.92 6.01 6.15 6.35 6.15 5.80 6.59 8.01 9.15 9.72 10.29 11.44 13.02 14.14 14.73 16.51 18.42 19.18 19.88 20.58 21.16 21.16 21.29 21.29 20.01 19.44 18.03 16.76 15.60 13.67 11.80 10.02 7.75 5.80 4.60 3.77 3.58 5.03 5.27 5.56 7.93 8.33 7.93 9.66 10.14 10.14 10.14 10.14 10.96 10.96 10.96 11.79 12.15 11.70 11.70 12.92 13.33 12.92 12.98 13.44 13.81 13.76 13.33 13.76 15.02 14.59 13.33 13.76 14.64 14.26 13.44 13.44 13.44 12.61 11.79 11.79 11.79 11.32 11.70 11.70 10.42 11.26 11.79 12.43 12.13 12.65 14.49 15.56 15.87 16.41 18.49 19.59 20.14 20.69 21.80 22.36 22.18 21.87 21.73 21.61 21.51 20.83 20.76 20.07 17.72 16.67 16.67 16.67 15.72 14.91 14.91 14.91 14.73 14.45 14.34 14.84 15.91 16.59 16.76 18.46 20.90 21.90 23.47 25.17 26.65 27.34 28.07 29.66 30.01 30.01 29.66 30.18 29.59 29.42 29.61 27.94 27.70 27.59 27.04 26.73 26.35 25.40 25.34 25.45 24.62 25.01 25.17 25.31 25.87 26.52 27.24 27.94 28.78 29.73 30.49 30.88 30.88 31.25 31.68 31.84 32.54 33.67 35.05 36.55 38.61 41.37 43.86 46.10 48.38 50.09 51.27 53.05 53.05 53.04 53.62 53.05 51.91 50.31 49.42 48.19 46.79 46.07 45.60 44.88 44.46 44.82 45.01 45.51 46.57 47.40 48.10 49.02 50.14 51.32 52.92 54.47 55.74 56.40 56.09 57.01 58.53 59.00 58.97 58.95 58.93 58.95 58.97 58.38 57.86 57.35 55.54 55.00 55.06 54.42 53.78 52.61 51.54 50.95 50.26 49.04 48.45 47.86 46.06 44.85 44.21 44.20 43.61 41.85 41.87 41.87 41.35 41.40 41.40 41.40 40.81 40.18 40.14 40.14 39.00 38.93 39.48 38.91 38.90 38.30 37.71 37.12 36.54 35.36 33.59 33.00 31.84 29.47 27.70 26.52 24.76 23.60 22.46 20.25 19.67 19.08 17.45 16.30 15.30 15.30 15.15 14.01 13.44 12.49 11.74 12.02 12.02 12.02 11.44 10.75 10.67 10.09 8.92 8.27 7.10 6.01 5.43 4.29 3.44 2.95 2.12 2.36 3.44 3.44 5.27 6.59 6.15 6.72 7.86 9.50 10.03 10.02 10.62 10.67 11.26 12.02 12.87 13.24 13.71 14.49 15.06 16.08 16.88 17.00 17.49 18.15 18.87 19.33 19.33 19.69 20.52 20.98 20.90 21.35 21.73 21.73 21.92 22.18 23.01 23.57 23.57 23.70 23.86 23.86 24.05 24.27 24.78 25.58 26.35 27.16 27.94 29.02 30.10 30.64 31.19 32.28 33.38 34.14 35.24 36.55 37.86 38.97 39.73 37.60 +13.33 24.59 21.73 18.98 15.37 13.45 11.18 9.45 9.43 8.44 8.19 8.50 8.76 9.66 10.42 11.44 11.93 12.15 12.61 12.61 12.92 13.33 13.44 13.44 13.44 13.45 13.46 14.35 14.73 14.92 15.92 16.50 17.72 19.67 20.45 20.01 20.88 22.55 22.98 22.44 21.90 21.61 21.08 20.56 19.24 17.66 16.09 14.55 12.69 10.83 9.32 6.59 5.92 5.34 3.73 2.12 2.43 3.58 4.71 4.75 5.03 6.07 6.87 6.87 7.38 7.91 8.70 10.02 10.54 10.54 10.54 11.62 11.93 12.43 13.74 13.74 13.74 15.37 15.37 15.37 17.00 17.00 17.00 17.00 18.15 18.50 18.50 18.87 18.87 19.33 19.69 20.07 20.07 20.07 20.07 20.45 20.42 20.42 21.68 21.25 21.25 21.68 21.68 22.12 21.73 21.73 22.18 23.10 21.92 21.92 22.40 20.92 20.62 20.32 18.98 16.41 14.91 14.01 12.50 10.61 8.76 8.37 8.50 9.72 11.79 13.67 15.72 17.16 18.83 19.81 19.81 21.87 22.44 21.35 21.08 20.56 19.52 19.00 17.40 16.08 15.06 12.65 12.39 11.86 10.54 8.98 7.66 8.19 6.59 6.15 6.01 5.92 6.48 6.01 6.01 5.59 5.59 6.15 6.90 8.44 9.59 9.72 10.75 11.92 13.02 14.14 15.33 17.13 18.35 19.67 20.34 21.03 21.16 20.58 21.29 20.72 19.44 19.44 18.03 16.67 15.42 13.60 11.20 8.86 6.59 5.27 4.60 3.73 3.58 5.27 5.56 6.26 8.33 8.76 8.84 10.14 10.14 10.14 10.14 10.14 10.96 11.44 11.12 11.44 11.32 11.70 11.70 12.09 13.33 12.09 12.15 13.44 14.26 14.64 13.76 13.33 15.00 15.00 13.33 14.59 15.02 13.76 13.76 13.81 13.44 12.61 11.79 11.79 11.79 10.96 11.32 11.26 10.00 10.42 10.49 11.44 11.62 12.13 13.45 14.24 15.32 16.09 17.41 18.49 19.59 19.94 21.06 22.18 21.87 21.73 21.73 21.03 21.03 20.34 19.59 19.48 17.72 16.67 16.67 16.67 15.72 14.91 14.73 14.01 13.87 14.34 14.25 14.15 15.37 16.67 17.45 19.19 20.90 22.68 25.07 25.99 27.13 28.29 29.36 30.49 31.27 31.25 30.42 31.71 31.01 29.94 30.56 29.31 28.46 28.48 27.59 27.04 26.73 25.67 24.81 24.16 23.69 23.93 23.88 24.07 24.25 24.68 25.22 25.06 25.83 27.55 28.38 28.78 29.61 30.00 30.44 31.01 31.38 32.74 34.79 36.55 38.45 40.69 43.21 46.00 47.74 49.50 51.28 52.47 52.47 53.06 53.05 51.85 51.28 50.21 48.68 47.28 45.74 44.91 44.34 43.27 42.98 43.26 43.77 44.63 45.28 45.77 46.79 48.49 50.14 50.56 51.43 53.03 54.20 55.51 55.92 56.29 57.86 58.97 58.95 58.93 58.95 58.97 59.00 58.44 58.53 57.99 56.23 55.18 54.01 53.36 52.77 52.26 51.67 50.37 49.78 48.61 47.38 47.38 46.10 44.85 43.64 43.05 43.03 41.25 40.66 40.66 39.50 38.91 38.91 38.93 39.55 40.14 40.14 40.14 39.55 39.52 40.09 39.50 39.48 38.90 37.71 37.72 37.14 35.96 34.18 33.61 33.05 30.64 29.47 28.28 25.93 24.22 23.69 22.09 20.92 20.34 19.44 18.87 17.33 16.77 17.16 16.77 16.41 15.87 15.10 14.73 14.01 13.44 13.29 12.60 12.02 12.02 11.44 10.75 9.72 8.76 8.01 6.90 5.56 5.00 5.00 4.75 4.29 4.17 5.43 5.27 4.60 5.83 5.43 6.07 7.66 7.29 7.75 8.33 8.27 8.33 9.59 9.72 9.52 10.29 10.54 11.33 12.94 13.74 14.06 14.39 14.26 14.73 15.56 16.30 16.75 17.21 17.58 17.58 17.96 18.41 18.63 18.41 18.41 18.63 18.63 19.12 20.11 20.62 21.12 22.15 22.67 22.67 23.46 24.53 25.31 26.39 27.47 28.56 29.11 29.66 30.76 31.52 32.83 34.14 35.24 36.35 37.10 35.48 +12.92 23.78 20.52 18.15 15.06 12.69 10.75 9.43 9.45 8.76 8.50 8.84 9.66 10.62 11.32 11.93 11.93 12.26 12.61 12.15 12.15 12.50 12.61 12.61 12.26 12.39 12.69 13.04 13.87 14.84 15.92 16.51 17.18 19.08 21.16 20.88 20.69 22.44 23.21 22.44 22.68 22.40 21.08 21.08 19.51 17.95 16.64 14.78 13.46 11.18 9.72 7.75 5.89 5.34 4.75 3.17 3.00 3.54 3.58 4.29 4.86 5.80 6.87 6.87 7.68 8.19 8.70 9.81 10.14 10.14 10.62 11.12 11.93 13.24 13.74 13.74 13.74 14.87 15.21 15.69 17.00 17.00 17.00 17.00 17.33 18.50 18.50 18.50 19.33 18.87 19.24 20.07 20.07 20.07 20.07 20.07 20.07 20.90 21.29 20.42 20.42 21.68 21.68 21.29 21.73 21.73 21.35 22.28 21.92 21.58 22.06 20.43 20.11 19.52 18.19 16.41 14.91 13.44 11.92 10.62 8.76 7.55 8.19 9.72 11.79 13.67 15.15 16.77 18.28 19.81 20.35 20.58 21.63 21.42 20.62 19.81 19.00 18.49 17.18 15.57 14.25 12.94 12.13 11.33 10.02 8.70 7.66 7.66 7.12 6.90 6.01 6.01 6.01 4.71 4.71 5.34 6.72 7.45 8.01 9.01 9.50 9.59 10.67 11.80 12.98 14.14 15.37 16.67 17.92 19.76 20.34 21.03 21.03 21.03 21.73 21.03 19.76 19.30 18.03 16.67 15.37 13.55 10.67 7.86 6.72 5.56 4.75 4.75 4.75 5.80 6.72 7.10 8.37 9.20 10.14 10.82 10.54 10.54 10.54 10.54 10.82 11.44 11.44 11.12 10.62 11.32 11.70 11.70 12.92 11.67 11.67 13.33 13.76 14.64 14.64 13.76 15.00 15.00 13.76 15.02 14.59 13.76 14.64 14.26 13.44 12.61 11.79 11.79 11.79 10.96 10.49 10.42 10.00 9.59 9.66 10.62 10.82 12.13 12.65 12.92 15.02 15.56 16.64 17.95 18.49 18.83 19.94 21.06 20.88 20.72 21.16 21.03 20.92 20.83 19.53 18.87 17.69 15.95 15.37 15.42 15.15 14.73 14.45 13.87 13.87 14.25 14.15 14.14 15.37 16.76 17.73 19.38 21.12 23.19 25.87 26.98 27.62 29.11 31.01 31.32 31.71 32.11 31.67 32.94 32.15 30.56 31.47 30.41 29.11 29.02 27.67 26.93 26.28 25.17 24.04 23.69 23.57 23.10 22.77 22.18 22.21 22.67 23.22 23.84 24.62 25.42 26.28 27.09 27.92 28.75 29.66 30.18 30.56 31.89 33.50 35.04 37.02 39.92 43.16 45.98 47.14 48.33 50.76 51.94 52.50 53.09 52.47 51.86 51.86 50.17 48.02 47.09 45.45 44.54 43.33 42.18 42.35 42.07 42.13 42.93 43.62 44.46 45.78 47.18 48.59 49.39 49.95 51.59 53.39 54.93 56.42 56.76 57.21 57.76 58.34 58.95 59.00 58.48 57.99 57.46 57.59 57.01 56.42 55.92 54.09 52.92 52.42 51.83 51.17 50.00 48.83 48.17 46.92 46.27 45.56 44.34 43.12 42.49 41.87 40.66 40.07 40.07 39.48 38.91 38.91 38.34 38.37 39.55 40.14 40.14 40.14 40.11 40.07 39.48 39.48 39.48 38.30 38.32 37.75 36.55 35.36 34.79 34.20 31.83 30.65 30.06 28.38 26.75 25.58 23.93 22.77 21.73 20.88 20.88 19.94 18.83 18.83 19.04 18.49 17.95 17.95 18.08 17.33 16.21 15.87 15.30 14.73 14.01 13.44 13.44 12.49 11.38 10.83 10.54 9.81 8.37 7.10 6.26 6.07 6.35 6.01 5.30 4.75 5.80 5.27 5.27 6.37 5.43 5.43 6.07 6.15 5.34 5.92 6.48 6.15 6.90 7.45 7.38 8.19 9.22 9.81 10.62 11.32 11.79 11.79 12.09 12.98 13.44 13.44 13.81 14.19 14.26 14.87 15.09 15.09 15.37 15.37 15.37 15.87 16.88 17.69 18.72 19.51 19.51 20.04 21.12 21.90 22.98 23.86 24.62 26.48 27.59 28.14 29.11 30.42 31.31 31.87 33.18 34.49 32.54 +12.09 22.95 19.69 17.00 14.49 11.74 10.09 9.43 8.92 8.44 8.84 9.59 10.14 10.82 11.44 11.93 11.93 11.93 12.26 12.53 12.15 11.67 12.15 12.61 12.43 12.39 12.69 12.87 13.18 14.25 15.91 16.59 16.76 17.73 19.94 21.25 21.67 22.14 22.68 22.68 23.19 22.67 21.08 21.08 19.76 17.92 16.60 15.02 13.46 11.38 9.32 7.86 5.92 4.71 4.71 3.73 3.73 3.58 2.95 4.49 5.03 6.15 7.45 7.45 7.66 8.19 8.50 9.32 10.14 10.14 10.96 11.44 12.43 13.24 13.08 13.44 13.91 14.39 15.21 16.03 16.38 16.75 16.75 17.21 17.33 18.15 18.50 18.50 18.87 18.87 19.80 19.80 19.69 20.07 20.07 20.07 20.07 20.45 20.42 20.00 20.42 21.68 21.25 20.42 21.29 21.73 20.90 21.35 21.45 20.76 21.74 20.62 19.81 19.00 17.13 15.87 14.91 13.44 11.26 10.09 9.32 8.37 8.70 9.72 11.79 13.67 15.02 17.16 18.63 19.59 20.58 19.81 20.29 21.12 20.62 19.81 19.00 17.69 16.68 15.37 13.74 12.43 11.93 11.62 9.22 8.70 8.44 7.45 7.45 7.45 6.01 6.01 6.01 4.71 5.30 6.48 6.51 6.59 8.33 9.01 8.92 10.03 11.26 12.39 13.55 14.73 15.92 17.18 19.08 20.34 20.34 21.03 21.03 21.03 21.73 21.03 19.67 19.08 17.92 16.08 14.25 11.80 9.50 8.21 7.12 5.43 5.27 5.92 6.01 6.59 8.01 8.33 8.84 9.32 10.96 11.44 10.82 10.54 10.54 10.54 10.54 10.82 11.44 10.96 10.62 11.12 11.44 11.32 12.09 11.67 11.67 13.33 13.33 13.76 15.02 14.59 15.00 15.00 14.59 15.02 14.19 14.64 14.64 13.76 13.33 12.92 12.15 11.79 11.32 10.42 10.00 10.00 9.59 8.84 9.32 10.14 10.14 11.44 11.62 12.13 13.97 14.55 16.41 17.95 17.73 18.08 19.38 20.14 19.94 19.59 20.01 20.45 20.34 20.25 19.53 18.30 17.10 15.92 15.37 14.92 14.58 14.45 14.34 13.87 13.76 14.19 14.74 14.73 15.37 17.45 18.46 19.38 21.90 23.99 25.87 27.80 28.77 29.82 31.47 31.94 32.30 33.43 33.34 33.33 32.92 31.71 32.22 31.47 29.94 29.26 28.30 27.42 26.09 25.39 24.61 24.04 23.10 21.80 21.29 21.03 21.62 21.90 21.74 22.28 23.01 23.75 24.59 25.00 25.42 26.72 28.07 28.53 28.93 30.05 31.52 33.36 36.18 39.76 42.49 44.78 46.57 48.35 50.80 52.02 52.56 52.53 51.91 51.88 51.27 48.94 47.32 46.34 44.49 43.47 42.35 42.16 42.04 41.25 41.35 42.09 43.16 43.98 44.47 45.59 47.05 48.45 49.22 50.88 52.60 52.92 54.42 56.03 56.57 56.57 57.21 57.86 58.53 58.70 57.59 57.08 57.25 56.09 55.61 55.03 53.67 53.09 52.60 51.44 50.28 49.70 48.34 47.67 47.09 45.17 44.51 43.93 41.99 41.94 41.32 40.07 40.07 40.07 39.48 38.91 38.93 38.96 38.37 38.34 38.91 38.91 38.91 39.48 40.07 40.07 40.07 40.07 38.90 38.91 38.91 37.71 37.12 36.54 35.36 33.61 32.43 31.28 29.61 27.92 26.84 25.89 25.44 24.61 23.67 22.92 22.00 21.67 21.36 21.12 20.35 19.51 19.27 19.38 19.38 18.83 18.63 18.28 18.08 17.33 16.41 16.41 15.87 14.78 13.97 13.45 12.13 10.62 9.66 8.76 8.50 8.19 7.38 7.45 7.45 7.75 7.10 6.48 6.01 5.59 5.59 4.49 4.60 4.17 3.77 3.73 3.58 4.17 4.75 4.75 5.27 5.80 6.37 7.19 7.55 7.68 8.01 8.33 8.76 9.66 10.14 10.03 10.03 10.49 11.44 11.79 11.79 12.13 12.43 13.24 13.74 14.25 14.77 15.02 15.87 16.64 17.41 18.49 19.27 20.14 21.06 21.45 22.76 24.97 26.28 26.70 27.59 28.51 29.26 30.21 32.07 30.92 +11.79 22.18 18.98 15.87 13.71 11.18 8.92 8.84 8.44 8.50 9.59 10.00 10.14 10.54 10.82 11.62 11.93 11.93 11.93 11.70 11.70 11.67 11.70 11.79 12.13 12.15 11.93 12.72 13.08 12.98 14.84 16.18 17.01 18.08 19.04 20.35 22.44 22.68 22.40 22.67 23.47 22.67 21.08 21.08 20.56 18.72 16.60 15.02 13.71 11.86 8.98 7.45 6.01 4.71 4.71 3.73 3.73 3.73 3.73 4.75 5.59 6.35 6.59 6.87 7.38 7.91 8.70 10.02 10.54 10.54 10.82 11.93 12.75 12.26 12.61 13.44 14.26 14.73 15.69 15.69 15.56 16.75 16.75 17.58 18.04 17.68 18.50 18.50 18.50 19.80 19.80 18.87 19.24 20.07 20.07 20.07 20.07 20.07 20.07 20.07 20.90 21.29 20.42 20.00 20.42 21.29 21.29 20.85 20.45 20.07 20.16 19.94 19.61 18.49 16.34 15.10 14.91 13.44 10.67 8.92 8.76 8.37 8.70 9.72 11.79 13.67 15.02 17.16 18.63 18.83 20.04 19.51 19.51 21.08 21.08 19.76 18.72 17.40 16.08 15.06 13.74 12.13 11.62 11.44 8.99 8.70 8.70 7.66 6.90 6.59 5.80 5.59 5.59 4.75 5.92 6.51 5.89 7.07 8.84 8.92 9.59 11.21 11.80 12.98 14.14 15.33 16.51 17.72 19.67 20.34 20.34 21.03 21.03 21.03 21.16 20.01 19.30 18.50 17.25 15.42 13.60 11.20 9.50 8.21 6.72 5.43 5.03 5.92 6.90 7.38 8.84 9.59 9.59 10.14 11.12 11.44 11.44 10.82 10.54 10.54 10.54 10.54 10.82 10.62 10.96 10.96 10.49 10.87 11.70 11.70 11.70 12.92 13.33 13.33 15.00 15.00 15.00 15.00 15.00 15.00 14.59 15.02 13.76 13.76 13.81 12.98 12.53 11.70 10.42 10.00 10.00 9.59 8.84 8.84 9.20 9.66 10.14 10.62 10.82 11.86 12.92 13.46 15.56 17.41 16.97 17.33 19.38 19.94 19.59 19.44 19.44 19.44 19.44 18.61 18.42 18.35 17.09 16.54 16.01 15.02 14.45 14.34 14.34 13.76 13.67 14.25 15.33 15.33 15.37 18.03 19.59 20.14 22.40 24.27 25.87 28.61 30.08 30.41 31.24 32.41 33.50 34.65 34.21 33.77 33.75 32.92 32.94 32.15 30.56 30.29 29.74 27.99 26.62 26.09 25.39 24.04 22.31 21.34 21.21 20.76 20.45 19.94 19.52 19.94 20.62 21.29 22.09 22.92 23.78 24.76 25.22 25.69 27.49 29.80 31.31 33.02 35.94 39.05 41.26 43.62 46.06 48.45 50.84 52.07 52.07 52.02 51.94 51.91 50.69 48.92 47.86 46.34 44.96 43.88 42.14 40.87 40.13 40.55 40.97 40.83 41.42 42.34 42.85 44.27 46.51 48.45 49.05 50.05 51.83 52.77 53.74 55.40 56.57 56.62 56.72 56.82 57.59 58.33 57.75 57.35 56.98 55.82 55.36 54.08 52.81 52.35 51.77 51.20 49.92 49.12 48.44 47.18 47.18 45.25 44.00 44.00 41.40 41.40 40.73 39.48 39.48 39.48 39.48 38.91 38.34 38.34 38.34 38.34 38.91 38.91 38.91 39.48 40.07 40.07 40.07 40.09 39.48 39.50 38.91 37.72 37.14 36.54 35.95 34.79 33.61 31.87 30.20 29.17 28.20 27.30 26.87 25.91 24.78 24.22 23.53 23.21 22.68 22.44 22.68 22.40 21.90 21.67 21.67 21.67 21.45 20.35 20.14 19.94 18.49 17.95 17.95 17.41 15.81 14.49 13.97 13.57 13.08 12.15 11.32 10.49 10.14 10.02 9.22 8.76 8.01 7.29 6.59 6.48 5.92 4.71 4.75 4.29 3.73 2.43 1.86 2.64 1.67 1.32 2.36 2.36 2.12 2.95 3.44 3.95 4.60 5.00 5.00 5.43 6.37 6.72 7.10 7.55 7.68 8.01 8.50 9.22 9.81 10.31 10.54 10.54 10.83 11.38 12.69 14.01 14.78 15.87 16.41 17.33 18.63 19.38 19.38 20.50 22.36 23.31 24.78 26.09 27.59 28.35 28.90 28.30 +11.44 21.45 18.63 15.06 12.92 11.18 8.27 8.33 8.76 8.37 8.76 9.59 10.14 10.54 10.54 10.54 10.82 11.62 11.44 10.87 11.32 11.26 10.49 10.14 10.54 11.18 11.01 11.33 12.39 12.98 14.34 15.72 17.16 18.83 19.27 19.51 21.87 22.67 22.95 22.74 22.74 22.44 21.12 20.62 20.62 19.00 16.88 15.06 13.45 12.15 9.88 8.01 6.01 4.71 4.71 3.73 3.17 3.00 3.58 4.71 5.43 5.80 6.07 6.87 7.68 8.19 8.70 9.81 10.14 10.14 10.62 11.93 12.26 12.26 13.24 13.74 14.06 15.21 16.03 15.21 15.69 17.00 17.00 17.33 18.50 18.15 18.15 18.50 18.98 19.80 18.87 18.87 19.80 20.28 20.28 20.28 20.28 20.28 19.80 20.16 20.98 20.52 20.07 20.07 20.07 20.45 21.25 20.42 19.62 20.07 19.24 18.87 18.63 17.69 15.81 14.24 14.01 12.87 10.67 8.33 7.66 7.93 8.70 9.72 11.79 13.67 15.02 16.59 17.73 17.95 19.51 19.51 19.51 21.08 20.56 18.72 17.69 17.18 15.57 14.25 13.74 12.13 10.82 10.62 9.81 8.70 8.19 7.68 6.07 6.07 6.59 5.59 5.59 5.43 6.01 6.59 7.07 8.25 8.27 8.86 10.03 11.21 11.79 12.98 14.15 15.37 16.59 17.18 18.61 19.44 20.01 21.16 21.03 20.45 20.58 19.88 19.30 18.03 16.67 15.37 13.55 11.26 9.01 6.90 5.83 5.27 4.71 5.80 6.87 8.01 9.59 10.00 10.42 11.32 11.44 11.12 11.93 11.62 10.54 10.54 10.54 10.54 10.54 10.54 10.82 10.62 10.14 10.96 11.32 11.70 11.70 12.09 13.33 13.33 15.00 15.00 14.59 15.02 15.42 15.00 15.00 15.00 13.33 14.59 14.64 12.15 12.09 11.67 10.00 10.00 10.00 8.76 8.37 9.20 8.84 8.99 10.02 10.54 10.54 11.07 12.39 13.18 14.24 16.64 16.41 16.41 18.49 18.83 18.63 18.63 18.46 18.87 19.44 18.03 17.25 17.77 16.50 15.92 15.37 14.25 13.67 13.76 14.34 14.34 14.34 14.25 15.33 15.37 15.42 17.73 19.38 20.90 23.21 25.03 26.39 29.11 30.73 31.05 32.06 33.13 34.71 35.09 34.26 34.65 34.61 33.75 33.75 33.37 31.39 31.47 30.76 28.44 26.98 26.39 25.83 23.75 22.36 21.73 20.76 19.45 18.94 18.15 17.95 18.49 19.12 19.69 20.45 21.73 23.01 23.57 24.04 25.50 27.42 29.33 30.56 32.16 35.08 38.37 41.25 43.62 46.10 48.61 50.43 51.02 51.02 51.60 52.07 51.35 50.12 48.91 47.79 46.27 44.85 43.59 41.94 40.87 40.35 40.37 40.14 40.00 40.52 41.85 42.85 43.75 45.19 46.96 48.02 49.12 50.58 52.71 54.26 54.80 56.03 56.72 56.82 57.01 57.25 57.35 57.45 57.78 56.76 55.48 55.48 54.20 53.18 52.16 50.88 50.88 49.47 48.07 48.07 46.80 46.23 44.85 43.50 43.42 41.45 40.87 39.55 38.91 38.91 38.30 38.90 38.91 38.32 37.73 37.75 38.34 38.91 38.91 38.91 39.48 40.07 40.07 40.09 40.07 40.07 40.11 38.91 38.32 37.75 35.95 35.36 34.77 34.20 33.08 31.50 30.52 29.47 27.87 26.87 26.47 26.28 26.48 25.61 24.78 24.53 23.99 23.99 24.25 23.75 23.21 23.21 22.98 22.76 22.44 22.21 21.80 20.35 19.27 18.49 17.95 17.41 16.60 16.37 15.37 14.39 14.26 13.33 12.09 11.32 10.62 10.31 10.02 9.22 8.98 8.98 8.76 8.01 6.90 6.15 6.01 5.43 4.49 4.49 3.73 2.12 1.67 1.77 1.32 0.00 0.00 0.59 1.32 1.67 1.67 1.67 1.67 2.12 2.95 3.33 3.44 3.95 4.25 4.49 5.27 6.07 6.15 6.15 6.90 8.01 8.76 9.52 10.62 11.18 11.74 12.87 14.01 14.73 15.87 16.59 17.33 18.63 19.94 21.62 23.11 24.42 25.53 26.28 25.17 +10.96 20.52 18.15 14.25 12.15 11.01 8.27 8.01 8.21 7.55 8.01 8.84 9.81 10.54 10.54 10.54 10.54 10.54 10.14 10.49 10.96 10.49 10.14 10.14 10.29 10.44 10.75 10.62 11.21 12.60 13.44 14.91 16.64 18.45 19.24 19.52 21.42 22.24 23.05 23.05 22.24 22.24 21.74 20.76 19.94 18.80 17.18 15.29 13.46 11.93 10.44 9.01 7.10 5.30 4.71 3.73 2.95 3.00 4.12 4.71 4.75 5.59 6.90 7.45 7.66 8.19 8.50 9.32 10.14 10.14 10.96 11.79 11.79 12.61 13.44 13.44 13.91 15.21 15.56 15.56 16.51 17.00 17.00 17.00 18.15 18.50 17.68 18.50 19.80 18.98 18.50 19.80 20.28 20.28 20.28 20.28 20.28 19.80 18.87 20.07 20.90 20.07 20.07 20.07 20.07 20.07 20.45 19.59 18.75 19.62 19.24 18.04 17.33 17.00 15.37 13.45 12.69 12.15 10.62 9.01 7.91 7.93 8.70 9.72 11.79 13.67 15.02 16.44 17.89 18.63 19.59 19.27 19.51 20.56 19.52 18.20 17.40 16.88 15.06 13.74 13.74 12.13 10.54 10.54 10.02 8.19 7.68 7.68 6.59 6.35 6.59 5.80 6.15 6.01 6.01 7.29 7.75 7.68 7.68 9.59 10.09 10.62 11.80 13.02 14.25 15.42 16.67 17.25 19.08 20.34 21.03 21.16 20.58 20.45 21.03 19.76 18.61 18.03 16.08 14.25 11.80 10.03 8.01 6.07 5.00 5.43 6.01 6.59 7.19 8.76 10.00 10.42 11.32 11.79 12.26 11.62 12.13 12.13 10.54 10.54 10.54 10.54 10.54 10.54 10.54 10.02 9.81 10.49 10.87 11.70 11.26 11.67 13.33 13.33 14.59 15.02 14.19 15.02 15.86 15.02 15.02 15.02 13.76 14.59 14.64 12.15 12.09 11.67 10.00 10.00 9.59 8.37 8.37 8.84 8.50 8.50 8.99 10.02 10.54 10.54 11.86 12.92 13.46 15.56 16.09 16.09 17.41 17.95 17.73 18.08 17.89 17.73 18.87 18.03 16.67 16.67 15.37 14.73 14.74 14.19 13.67 13.18 13.67 13.67 13.67 14.15 15.37 15.42 15.60 17.89 19.38 20.90 23.21 25.83 27.19 29.11 31.05 31.72 32.88 34.06 35.25 35.25 35.16 35.48 35.04 34.61 35.00 34.61 32.15 31.77 30.93 28.90 27.81 27.30 25.87 23.99 23.21 21.80 20.01 19.00 18.27 17.25 16.59 16.34 17.40 18.63 19.69 20.62 21.45 22.40 23.86 25.37 26.35 27.59 28.90 31.32 34.95 38.32 41.25 43.64 46.10 48.68 50.00 50.00 50.58 51.75 51.67 50.31 49.59 48.33 47.14 46.10 44.17 42.18 40.64 40.39 40.07 39.23 38.93 39.59 40.47 41.37 42.04 42.96 44.21 45.49 47.17 49.02 49.92 51.39 53.62 54.24 55.50 56.82 57.01 57.25 57.45 56.98 57.21 58.17 57.02 55.17 54.59 54.02 53.60 52.31 50.88 50.88 49.60 47.74 47.17 46.47 45.65 44.85 43.50 42.76 42.10 40.87 38.96 38.34 38.32 37.71 37.71 37.71 37.72 37.75 37.75 37.73 38.32 38.91 38.91 39.48 40.07 40.66 40.66 40.07 40.11 40.11 39.48 39.48 39.48 37.71 35.95 35.40 35.43 34.36 32.75 31.10 30.05 29.15 28.33 27.95 27.25 27.25 26.93 26.35 26.63 26.09 24.78 24.78 25.07 24.78 24.53 24.07 23.53 22.98 22.76 23.31 22.98 21.67 20.35 19.51 19.51 18.72 17.69 16.88 15.69 15.09 15.02 14.59 13.76 13.44 13.08 12.26 11.93 11.62 10.82 10.54 10.54 9.81 8.99 8.44 7.38 6.87 6.37 5.43 5.00 5.00 4.60 3.77 3.33 2.95 2.12 1.67 1.67 1.67 1.67 1.32 0.59 0.00 0.00 0.59 1.18 1.32 1.32 1.32 2.36 3.58 3.58 4.29 5.43 6.01 6.01 6.59 7.75 8.44 9.59 10.75 11.44 12.72 14.17 15.47 16.21 17.33 18.46 19.19 20.32 21.45 22.36 21.74 +10.96 19.69 17.00 13.97 11.38 10.17 8.27 6.72 7.12 7.93 8.01 7.68 8.44 8.98 9.52 10.29 10.54 10.02 9.32 9.32 8.84 8.84 9.32 8.99 9.15 8.92 9.43 10.09 10.29 11.93 12.69 14.49 16.68 17.49 18.80 19.94 20.76 22.06 22.88 22.55 22.55 22.06 21.74 21.42 19.81 19.00 17.40 15.02 13.71 11.86 9.52 8.44 7.75 5.92 4.75 4.49 3.77 3.73 4.71 4.71 4.71 6.01 6.90 6.59 7.38 7.91 8.70 9.50 9.81 10.14 10.96 11.79 11.79 12.61 13.44 13.44 14.26 15.09 15.09 15.92 16.75 16.75 16.75 17.21 17.68 18.50 18.15 18.63 20.28 18.63 18.63 20.28 20.28 20.28 20.28 20.28 20.28 19.45 19.12 20.43 20.76 19.80 19.69 20.07 20.07 20.07 19.62 19.18 18.35 18.75 18.75 17.13 16.38 16.51 15.37 12.65 11.38 11.01 9.45 8.44 7.91 7.55 8.44 9.72 11.79 13.67 15.02 16.44 17.89 18.63 18.83 18.49 19.51 19.76 18.72 18.20 17.40 16.08 14.25 13.74 13.74 12.13 10.02 9.81 9.32 7.68 7.68 7.68 6.87 6.07 6.07 6.07 6.07 5.80 6.15 7.45 7.45 7.29 8.33 10.17 10.17 10.75 11.92 13.08 14.92 16.08 16.67 17.92 19.76 20.34 20.45 20.01 20.72 21.16 20.45 18.61 18.03 17.45 14.92 13.08 10.62 9.43 7.45 6.26 5.43 5.92 7.29 7.45 8.44 10.14 10.42 11.26 12.15 12.26 13.24 12.13 12.13 12.13 11.07 11.38 10.62 10.29 10.54 10.54 10.02 8.99 9.32 10.14 10.96 11.32 10.42 11.67 13.33 13.33 13.76 15.02 14.59 14.59 15.47 15.47 15.02 14.64 14.64 14.19 13.81 12.98 12.53 11.32 10.14 10.14 9.32 8.50 8.50 8.50 8.50 8.50 8.50 8.99 10.02 10.54 11.07 12.39 13.45 14.25 15.29 15.56 16.64 17.73 17.33 17.89 17.89 17.16 17.73 17.45 16.67 16.67 15.37 14.14 14.14 13.60 13.67 13.08 13.02 13.02 13.02 14.15 14.84 15.50 16.30 17.89 19.38 21.12 23.19 25.87 27.49 29.11 31.87 32.54 32.88 34.53 35.36 35.71 36.44 36.37 35.48 35.44 35.84 35.01 33.33 32.11 30.88 29.66 29.36 28.29 25.99 24.56 23.99 21.90 19.94 18.87 17.25 15.91 14.92 14.91 15.87 16.60 17.81 18.63 19.12 20.62 22.15 23.19 24.53 26.09 28.44 31.68 35.48 38.31 40.70 43.75 46.15 48.68 50.00 50.58 51.75 52.33 51.67 50.95 50.21 48.33 47.14 46.00 43.42 41.61 40.31 38.97 38.21 37.60 37.37 37.94 38.37 39.25 40.42 41.37 43.45 45.49 47.17 49.02 50.37 51.30 53.05 54.29 55.00 56.42 57.25 57.45 57.78 56.89 56.60 57.47 56.75 55.46 54.32 53.91 53.34 51.89 50.60 50.03 49.31 48.02 46.73 45.89 45.07 44.38 43.01 41.67 41.59 40.81 39.55 38.34 37.72 37.71 37.71 37.71 37.14 37.17 37.73 37.75 38.34 38.91 38.91 39.48 40.07 40.66 40.68 40.09 40.68 40.66 40.07 39.48 39.48 38.89 37.17 36.02 35.43 34.36 33.33 32.36 31.45 30.60 29.81 29.26 27.80 27.47 27.70 26.88 26.88 27.41 26.62 26.35 26.63 26.09 25.85 26.39 26.39 25.39 24.07 23.53 23.53 23.53 22.98 21.61 21.08 20.56 19.52 19.00 18.30 17.21 16.30 15.47 15.00 14.64 13.81 13.44 13.57 13.08 12.26 12.13 11.62 10.96 10.96 10.14 9.32 9.32 8.76 8.33 8.33 8.33 7.93 7.10 6.67 6.72 6.37 5.43 5.00 5.00 4.60 3.95 3.44 3.33 3.33 3.33 3.44 3.17 2.12 1.67 2.36 2.43 1.32 1.67 2.12 3.17 3.73 3.73 4.29 4.75 5.92 7.07 8.33 9.59 10.29 11.44 12.15 13.44 15.15 15.87 17.01 18.15 18.63 18.30 +10.62 18.98 15.87 13.97 10.83 8.44 7.68 6.15 6.37 6.67 7.19 8.19 8.98 8.98 9.32 9.32 8.98 8.70 8.50 8.01 7.10 6.72 6.87 6.90 7.68 8.25 8.92 9.72 10.62 11.61 12.39 15.06 17.00 17.00 18.63 20.28 20.62 21.81 22.28 21.92 22.75 21.92 21.10 21.10 19.45 18.30 17.18 15.06 13.74 12.13 8.98 7.45 7.45 6.01 4.29 4.49 3.95 3.73 4.71 4.71 4.71 5.43 5.80 6.07 7.68 8.19 8.70 8.99 9.32 10.14 10.96 11.79 11.79 12.61 13.44 13.44 14.26 15.09 15.09 15.92 16.75 16.75 16.75 18.04 18.15 18.63 18.63 18.63 20.28 19.12 19.30 20.11 19.94 20.28 20.28 20.28 20.28 19.94 20.11 20.62 20.62 19.81 19.81 20.11 19.94 20.28 18.98 18.87 18.41 17.96 17.92 16.67 15.42 15.09 14.87 12.13 10.29 9.72 8.86 7.17 6.59 6.72 8.01 9.59 11.79 13.67 15.02 15.87 16.97 17.95 17.95 18.49 19.81 19.27 18.19 17.92 17.40 15.81 14.24 13.71 12.94 11.44 9.32 9.32 9.32 7.68 7.19 7.10 6.67 6.26 6.37 6.07 6.07 6.59 6.90 7.45 7.45 8.01 9.15 9.72 10.29 11.44 12.60 13.76 15.02 15.72 16.30 18.15 19.44 19.44 19.44 20.01 21.29 20.72 19.44 18.03 17.45 16.30 14.34 13.02 11.21 10.09 7.66 6.26 5.27 5.92 7.45 7.66 8.99 11.32 11.26 11.67 12.92 13.44 14.06 12.13 12.13 12.13 11.86 12.15 10.44 9.88 10.29 10.54 9.22 8.70 9.50 9.81 10.49 10.42 10.42 11.70 12.92 13.33 13.33 14.59 15.02 14.19 14.64 15.92 15.09 14.26 15.09 14.26 13.44 13.44 12.26 11.12 10.62 9.81 9.50 8.99 8.50 8.19 8.70 8.70 8.70 8.70 9.22 10.54 10.54 12.13 13.45 13.71 15.02 15.02 15.56 16.64 16.41 16.97 17.33 17.16 17.01 16.76 16.67 16.67 15.37 14.14 14.14 13.02 13.02 13.02 13.02 12.98 12.37 13.67 14.34 15.02 16.44 17.89 19.38 21.90 23.99 25.87 27.80 29.26 31.72 33.02 33.71 34.42 35.25 36.44 36.82 36.82 36.37 36.31 35.87 35.04 34.61 33.33 31.27 30.05 30.05 28.83 26.87 25.01 23.86 21.93 19.76 18.49 17.16 15.42 14.15 14.34 14.73 15.10 15.29 15.87 17.40 18.98 20.04 21.67 23.86 25.91 28.78 31.43 34.20 37.14 40.18 43.93 45.75 47.67 49.60 50.76 51.34 51.92 51.75 51.02 49.72 47.79 47.14 45.98 43.27 41.49 40.31 39.32 38.48 37.60 37.48 37.97 38.37 38.77 39.62 40.59 42.14 44.03 45.77 47.67 50.21 51.86 53.05 54.91 55.70 56.58 57.45 57.78 58.17 57.74 57.47 57.23 55.93 55.37 54.24 53.68 52.94 51.64 50.51 49.22 48.32 48.17 46.73 45.32 44.74 43.34 42.43 41.67 41.00 39.64 39.55 38.91 37.71 37.71 37.71 37.71 36.55 36.55 37.14 37.17 37.72 37.72 38.31 38.89 39.48 40.09 40.68 40.66 40.66 40.68 40.09 39.48 39.48 38.90 37.75 36.58 35.43 34.36 33.33 32.36 31.45 30.60 29.81 30.01 29.87 29.02 28.48 28.20 27.94 28.20 27.94 27.94 27.94 27.16 26.63 26.63 26.93 27.25 26.70 25.39 24.07 23.53 23.53 22.68 21.61 21.08 20.56 19.52 18.80 18.15 17.21 16.75 16.26 15.42 15.02 15.09 14.73 14.26 14.26 14.06 13.08 12.61 12.61 12.09 11.32 10.49 10.00 10.00 10.00 10.00 10.03 9.66 8.76 8.76 9.32 8.84 8.33 7.93 7.19 7.19 7.93 8.33 7.93 7.10 6.26 5.43 5.00 5.00 5.27 5.27 4.60 3.95 3.73 3.58 3.58 3.17 2.95 3.33 3.77 3.95 4.29 5.43 5.92 7.07 8.27 8.92 10.67 12.02 13.87 15.72 16.21 15.37 +10.14 18.41 15.09 13.08 10.02 7.45 6.59 5.03 5.07 5.43 6.59 7.12 8.01 8.76 8.76 8.01 7.45 7.66 7.68 7.10 6.67 6.37 5.80 5.92 6.51 7.10 9.15 9.52 10.54 11.62 12.26 15.09 16.75 16.75 18.41 20.07 21.29 21.68 21.68 21.68 22.12 21.73 20.90 20.90 18.87 17.33 17.00 15.37 13.74 12.13 8.98 7.45 7.45 6.01 3.73 3.73 3.73 3.73 4.71 4.71 4.71 4.75 5.59 6.90 7.66 8.19 8.50 8.50 9.32 10.14 10.96 11.79 11.79 12.61 13.44 13.44 14.26 15.09 15.09 15.92 16.75 17.21 17.33 18.15 18.50 18.98 18.63 18.63 20.28 19.94 20.11 19.81 19.81 20.62 20.62 20.62 20.62 20.62 20.62 20.62 20.62 20.32 20.03 19.52 19.81 20.11 18.80 18.80 18.30 17.33 17.21 16.30 14.59 13.76 13.44 11.62 9.52 8.44 8.27 7.17 6.07 6.37 8.44 10.09 11.79 13.08 14.01 15.47 16.77 17.73 17.95 19.27 19.81 18.49 17.95 17.41 17.13 15.81 14.24 12.92 11.33 10.62 9.81 9.50 8.50 7.10 6.67 6.67 6.67 6.67 6.67 6.26 6.37 6.87 6.87 7.38 7.66 8.76 9.88 10.29 11.44 12.02 13.29 14.45 15.02 15.72 17.01 18.87 19.44 19.44 19.44 20.16 20.88 20.16 18.87 17.58 16.87 15.60 13.76 12.50 10.61 8.33 5.80 5.07 5.43 6.59 7.66 8.50 9.59 11.67 12.09 12.15 13.44 14.26 14.26 12.26 12.43 12.65 12.39 11.86 10.29 9.32 9.52 10.02 8.70 8.70 8.99 9.32 9.66 9.59 11.26 11.70 12.09 12.92 12.98 14.26 15.09 14.26 14.26 15.56 15.21 14.73 14.73 14.06 13.74 13.74 12.13 11.62 11.44 8.99 9.22 10.02 8.70 7.91 8.70 8.44 8.98 9.22 8.70 10.02 10.54 12.13 12.65 12.92 15.02 15.02 15.02 15.81 15.56 15.87 16.41 16.21 15.87 15.72 15.72 15.60 14.78 14.14 14.14 13.02 13.02 12.98 12.39 12.96 12.98 13.60 14.84 15.60 16.44 17.89 19.59 22.40 24.27 25.87 28.61 30.08 31.24 32.88 34.53 34.89 35.61 36.82 36.82 36.82 36.82 36.82 36.37 35.48 35.04 34.21 32.11 30.83 30.44 29.21 27.55 25.50 23.93 22.40 20.62 18.98 17.73 15.72 14.15 14.15 13.76 13.44 13.24 14.24 16.41 17.73 18.83 20.88 23.15 25.44 28.00 30.10 33.00 37.24 40.87 44.00 45.34 47.28 49.81 50.39 50.97 52.12 51.34 50.00 49.26 48.45 47.74 45.98 43.80 41.95 40.31 39.13 37.99 37.29 37.61 38.03 38.37 38.43 38.81 39.80 41.38 43.31 44.96 46.27 48.94 51.27 52.50 54.47 56.00 56.29 57.21 58.17 58.46 58.04 58.36 57.97 56.28 55.34 54.04 53.29 52.55 51.99 50.69 49.22 47.76 47.60 46.73 45.32 45.19 43.69 42.34 41.67 41.00 39.05 38.37 38.34 37.14 36.54 37.12 37.72 37.17 37.17 37.17 37.14 37.72 37.75 38.91 39.48 39.48 40.07 40.66 40.68 40.11 40.11 40.07 40.07 39.48 38.31 37.73 37.17 36.07 35.01 34.00 33.05 32.16 31.32 30.56 30.42 30.64 30.33 30.05 29.78 29.26 28.99 28.73 28.46 28.48 28.48 27.94 27.16 26.93 27.25 27.25 27.25 26.48 24.62 23.53 23.21 22.68 21.61 21.08 20.56 19.30 18.63 18.50 18.41 17.96 17.09 16.26 15.92 15.92 15.47 15.09 14.73 14.26 14.26 13.81 13.76 14.19 13.76 13.33 12.92 12.09 11.67 12.09 12.61 12.15 11.67 11.79 11.79 11.67 11.32 10.96 11.26 11.26 10.42 10.03 10.03 10.00 10.00 10.00 10.00 9.66 8.84 8.33 7.93 7.19 6.37 5.80 5.03 4.29 4.12 3.58 3.17 2.95 3.77 3.95 4.29 5.43 5.92 7.07 8.27 9.50 11.33 12.02 10.54 +9.59 17.96 15.09 12.26 9.22 7.29 6.48 5.03 4.60 5.56 5.80 5.59 6.51 6.51 6.59 7.29 6.90 6.15 5.27 5.00 5.00 5.27 5.43 5.92 6.15 5.80 8.50 9.66 10.03 11.70 13.33 15.02 16.26 17.09 18.79 20.07 21.29 21.25 21.67 21.67 21.25 21.68 20.85 20.07 18.50 17.21 16.38 14.87 13.74 12.13 8.98 7.45 7.29 6.51 4.29 3.73 3.73 3.73 4.71 4.12 4.17 4.75 6.01 7.45 7.45 7.66 8.19 8.50 9.32 10.14 10.96 11.79 11.79 12.61 13.44 13.44 14.26 15.09 15.09 15.92 16.75 17.58 18.04 17.68 18.50 19.80 19.12 18.80 19.94 20.28 20.76 20.62 20.56 21.08 21.08 21.08 21.08 21.08 21.08 21.08 21.08 21.08 19.76 19.24 20.56 19.76 18.72 18.49 17.49 17.00 16.51 15.09 13.76 13.33 12.09 10.14 8.44 7.45 6.59 6.01 6.37 6.87 8.33 9.43 10.67 12.60 14.45 16.44 17.16 17.33 17.73 19.51 19.51 17.95 17.41 16.34 16.08 15.06 13.74 12.13 10.54 10.54 10.02 8.50 7.10 7.10 6.72 6.26 6.67 6.67 6.67 6.67 6.67 6.67 7.10 8.01 8.19 9.22 10.29 10.62 11.18 11.74 13.60 14.73 15.15 15.72 17.16 18.63 18.63 19.19 19.59 19.59 19.94 19.38 17.89 17.16 16.44 15.02 13.67 12.43 9.43 6.59 5.27 5.07 5.92 7.29 8.44 9.81 10.49 12.09 12.92 12.98 13.91 14.39 13.91 13.08 13.24 13.45 12.39 11.07 10.54 8.98 8.98 9.22 8.70 8.70 8.70 9.50 8.99 9.32 11.32 11.26 11.26 12.15 12.61 14.26 14.73 14.39 14.73 14.73 15.21 15.21 14.06 13.74 13.74 13.74 12.13 11.86 12.15 9.88 9.52 10.54 8.98 8.44 8.70 7.91 8.70 9.50 8.99 8.99 10.31 11.93 11.62 12.13 14.25 14.49 15.02 15.56 15.32 15.56 15.56 15.10 14.91 14.91 14.73 14.34 14.19 13.57 13.55 12.98 12.39 12.96 12.37 12.39 13.02 13.02 14.34 15.72 16.59 17.73 19.51 22.67 24.27 25.87 29.11 30.73 31.87 33.36 34.53 35.71 36.07 36.90 37.27 36.82 36.82 36.82 36.82 36.37 35.48 34.21 32.94 32.09 30.83 29.17 27.50 26.25 25.06 23.10 21.58 19.30 17.40 15.56 13.44 13.08 12.37 11.92 12.72 14.17 15.87 17.16 18.46 20.45 22.09 24.34 27.21 30.08 33.61 37.94 41.08 43.01 44.96 48.07 49.92 49.92 51.20 51.77 50.97 50.09 49.92 49.13 47.20 44.78 43.08 41.67 40.16 39.13 37.76 36.69 36.45 35.99 36.27 37.61 38.81 39.55 40.63 42.59 44.85 46.79 48.92 50.71 52.07 53.58 55.71 56.51 57.46 58.46 58.93 58.14 57.77 57.77 57.21 56.09 54.23 53.11 52.00 51.25 50.13 49.22 47.76 46.88 46.73 45.32 44.49 43.69 42.34 41.67 40.93 39.59 38.34 38.32 38.31 37.13 37.13 37.14 37.17 37.17 37.17 37.73 37.75 37.75 38.31 39.48 40.07 40.07 40.66 41.26 41.26 40.66 40.07 40.09 39.48 38.91 38.34 37.79 36.70 35.67 34.68 33.75 32.87 32.06 31.31 30.64 30.64 30.33 30.05 29.78 29.78 29.78 29.26 28.99 29.52 29.80 29.02 28.48 28.24 27.80 27.04 26.48 27.04 27.04 25.39 23.75 23.21 22.68 21.61 21.08 20.62 20.28 19.80 18.87 18.41 18.35 18.33 17.96 17.13 16.26 15.92 15.92 15.92 15.92 15.42 15.02 15.02 15.00 15.00 15.02 15.02 15.00 14.59 14.26 14.64 14.59 14.26 14.64 14.59 14.26 14.64 14.59 13.81 13.36 13.36 13.36 13.33 13.33 13.33 13.33 12.92 12.09 11.67 11.67 11.26 10.42 9.66 8.84 8.01 7.38 6.59 5.27 4.29 4.12 3.58 3.73 3.44 3.44 4.29 5.43 5.92 7.07 8.84 7.45 +8.76 16.75 14.87 12.13 8.98 6.59 5.92 5.59 5.00 4.75 4.49 5.43 6.51 6.51 6.51 6.51 5.59 5.03 3.95 3.33 2.95 2.95 3.73 5.27 6.37 6.26 8.33 10.00 10.42 12.15 14.26 15.09 15.92 18.04 19.33 19.69 20.90 20.90 21.29 21.25 20.83 21.67 20.42 18.79 18.41 17.58 15.92 13.91 13.24 12.13 8.98 7.45 6.59 6.48 5.43 4.49 4.75 4.75 4.75 3.58 4.17 5.43 6.01 6.90 6.59 7.38 7.91 8.19 9.32 10.14 10.49 11.70 11.70 12.09 13.33 13.33 14.59 15.47 15.09 15.92 17.21 17.68 18.04 18.04 18.98 20.28 19.94 19.30 19.81 20.62 21.42 21.42 21.12 21.35 21.08 21.08 21.08 21.61 21.90 21.67 21.12 20.82 20.04 19.81 20.82 19.51 18.19 17.92 17.40 16.88 15.37 13.91 13.44 12.98 11.26 8.76 7.19 6.59 5.43 4.29 5.00 6.59 8.33 9.43 10.67 13.29 15.15 15.87 16.77 17.33 17.89 19.59 18.73 17.13 16.60 15.81 15.81 14.49 13.45 12.13 10.54 10.02 8.50 7.55 7.19 7.68 6.37 5.43 6.67 6.67 6.67 6.67 6.67 6.67 7.93 8.84 8.50 9.32 10.62 10.82 11.07 12.15 13.46 14.78 15.10 15.47 17.33 18.63 18.63 19.38 19.38 19.19 19.76 19.19 17.89 17.16 15.87 14.58 13.18 10.67 8.25 6.72 5.56 4.75 5.92 7.66 8.99 10.14 11.32 12.92 13.33 13.76 14.64 14.73 14.06 13.74 13.74 13.74 12.13 10.54 10.54 8.98 8.98 8.98 8.98 8.98 8.44 8.99 8.50 9.32 10.49 10.42 10.42 11.70 12.92 13.36 13.91 14.73 14.73 14.06 15.06 15.29 14.49 14.25 13.45 13.71 12.92 11.61 11.38 10.62 10.29 10.29 9.32 9.52 8.98 8.44 8.70 9.22 10.02 8.99 10.14 11.44 11.12 11.93 13.24 13.74 14.25 14.49 15.02 15.56 15.10 14.91 14.91 14.73 14.45 13.67 13.67 13.02 12.39 12.39 11.79 12.37 12.96 12.98 13.02 13.08 14.01 14.91 16.41 17.95 19.51 22.67 24.56 25.99 28.77 30.41 32.06 33.71 34.53 36.18 36.18 37.01 38.19 37.27 36.82 36.82 36.82 36.82 36.37 34.65 33.37 32.54 30.88 29.61 27.92 26.67 26.25 23.78 21.73 19.69 17.33 15.87 13.71 12.49 12.02 11.79 13.02 14.34 15.60 16.76 18.03 20.25 21.93 24.19 27.11 30.06 33.67 38.08 40.69 42.64 45.77 48.32 49.03 50.17 51.90 51.77 51.66 50.76 50.00 48.68 46.69 44.79 43.05 41.45 39.76 38.95 37.76 36.40 35.63 35.16 35.01 35.83 37.50 39.31 40.44 41.87 44.17 46.69 48.91 50.76 52.77 54.25 55.71 57.33 57.89 58.36 59.44 59.07 57.95 57.59 57.24 56.14 54.28 52.97 52.21 50.50 49.57 48.83 47.35 45.89 45.74 44.88 43.46 42.64 41.75 41.59 40.81 40.14 38.91 38.30 38.90 38.32 37.73 37.17 37.17 37.17 37.17 37.75 37.79 38.34 38.91 39.48 40.07 40.07 40.66 41.26 41.26 40.66 40.66 40.66 40.09 39.50 38.34 37.83 37.35 36.33 35.37 34.45 33.59 32.80 32.07 31.19 30.64 30.33 30.05 29.78 30.05 30.57 30.31 29.78 29.78 30.33 30.10 29.02 28.56 28.35 28.35 27.59 26.48 26.84 26.28 24.84 23.75 23.21 22.68 21.61 20.62 20.28 20.28 19.80 19.24 19.18 18.75 17.92 17.52 17.92 17.96 17.58 17.58 17.13 17.09 17.52 17.09 16.67 16.67 17.09 17.52 17.09 16.69 17.13 17.52 17.13 17.13 17.52 17.13 16.75 16.69 16.69 16.75 16.69 16.69 16.69 16.26 15.42 15.00 15.00 14.59 13.76 13.33 13.33 13.33 13.33 12.92 12.09 11.26 10.49 9.66 8.76 8.50 8.19 6.87 5.59 4.29 3.58 3.58 3.95 3.33 3.73 6.01 5.43 +8.50 15.92 14.26 11.44 8.44 6.15 4.17 3.73 4.17 3.77 3.73 4.71 5.92 6.48 5.92 5.30 4.17 3.73 3.44 2.95 2.43 3.17 3.77 5.00 6.67 7.10 8.84 10.14 11.44 13.24 14.55 15.37 16.68 18.80 19.12 19.45 21.10 21.10 20.62 20.52 20.90 21.29 19.17 18.35 18.35 17.13 15.92 13.44 12.26 11.62 8.98 7.45 6.01 5.30 5.34 4.49 4.60 4.60 3.73 3.00 4.17 5.59 5.59 5.80 6.07 7.68 7.68 7.68 9.32 10.14 10.14 11.32 11.70 12.15 13.44 13.44 14.64 15.86 15.47 15.92 17.58 18.04 17.68 18.50 19.80 20.28 20.28 19.94 20.11 21.12 21.63 21.12 21.93 22.15 21.08 21.61 21.90 22.44 22.44 21.67 20.90 20.90 20.90 20.14 20.35 19.27 17.95 17.95 17.95 16.64 14.78 13.71 12.94 11.79 10.42 8.33 6.26 5.27 4.75 3.95 4.75 6.15 8.27 9.43 11.26 13.87 14.73 14.91 16.41 17.73 18.08 18.83 17.18 16.34 17.13 16.09 15.56 13.71 12.65 12.13 10.02 8.99 7.68 7.68 7.68 7.19 5.43 5.00 6.67 6.67 6.67 6.67 6.67 6.67 8.33 9.59 8.84 9.32 10.96 11.44 12.13 12.92 13.46 15.02 15.56 16.41 18.08 18.63 18.63 18.83 19.04 19.59 19.38 18.63 17.33 16.77 15.30 13.44 11.74 9.01 7.68 5.43 3.77 3.58 5.80 7.68 9.32 10.49 12.09 13.33 13.76 14.64 15.09 15.56 14.87 13.74 13.74 13.74 12.13 10.54 10.54 9.52 9.32 8.76 8.98 8.98 7.66 8.19 8.50 8.84 9.59 10.00 10.00 11.26 12.98 12.61 13.44 14.73 14.06 13.74 14.25 14.49 15.02 15.02 13.46 13.24 13.79 12.49 11.18 11.18 11.18 10.44 9.88 10.07 9.32 9.52 8.98 8.98 10.54 10.02 10.31 10.82 11.62 11.93 12.43 13.74 13.74 13.74 14.25 14.24 14.35 14.91 14.91 14.01 13.87 13.29 12.60 12.50 11.84 11.80 11.79 11.79 12.39 13.02 13.02 13.76 14.73 14.91 16.41 17.95 19.76 22.44 24.86 26.80 28.77 30.41 32.06 34.06 34.42 35.71 36.54 36.90 38.56 38.10 36.82 36.82 36.82 36.82 36.82 35.16 33.50 33.05 31.32 30.05 28.78 27.09 26.25 24.59 22.09 20.02 18.41 16.51 14.25 12.92 12.49 12.02 12.43 13.57 14.74 15.95 17.72 19.48 21.22 23.58 26.62 29.67 33.33 37.79 40.33 43.46 46.60 47.88 49.16 51.02 52.16 51.90 51.77 50.97 50.09 48.68 47.32 45.39 43.05 41.40 38.85 37.16 36.55 36.12 35.63 35.16 35.01 35.36 36.48 38.77 40.99 42.45 44.08 46.61 48.92 50.80 53.43 55.03 55.48 57.32 58.36 58.70 59.63 59.82 58.90 58.00 57.67 56.35 54.83 53.31 52.36 50.87 49.75 48.27 47.35 45.89 45.02 44.74 43.80 43.01 41.67 40.93 40.18 40.14 38.91 37.71 37.71 37.72 37.75 37.79 37.79 37.79 37.79 37.79 37.79 38.34 38.91 39.48 40.07 40.07 40.66 41.26 41.26 40.66 40.66 40.66 40.07 39.48 38.37 37.88 37.35 36.33 35.37 34.59 34.32 33.54 32.83 32.28 31.41 31.36 31.62 31.10 30.05 30.05 31.10 31.10 30.31 30.33 30.64 30.10 29.66 29.11 29.11 29.26 27.59 26.84 26.84 25.93 24.84 23.75 23.21 22.93 21.93 20.76 20.28 20.28 20.07 19.62 18.79 18.33 18.79 19.62 19.59 19.24 19.24 18.75 18.79 19.62 20.00 20.00 20.00 20.00 20.02 19.62 19.18 19.59 20.02 20.07 20.02 19.62 19.24 19.62 19.62 19.18 19.62 19.62 19.18 19.59 19.62 18.79 18.33 18.33 17.96 17.13 16.67 16.67 16.26 15.42 15.00 15.00 15.00 14.59 13.33 12.09 11.32 10.49 9.59 8.37 7.68 7.68 6.87 5.59 3.73 2.95 3.44 1.86 +8.50 16.30 14.19 10.49 7.68 6.07 3.73 1.86 2.12 2.95 3.73 4.71 5.43 5.59 4.75 4.12 2.95 2.36 1.86 1.77 2.12 3.33 4.60 5.56 6.87 8.19 10.02 11.07 12.92 14.24 15.02 15.81 17.40 19.00 19.00 19.81 20.92 20.76 20.28 20.28 20.62 20.07 18.35 18.35 17.92 16.26 15.09 13.57 11.93 10.82 8.98 7.45 6.01 4.71 4.71 3.73 3.33 3.33 2.95 3.00 4.17 5.59 5.59 5.59 6.90 7.66 7.38 7.68 9.32 10.14 10.14 10.49 11.70 12.98 13.44 13.44 13.81 15.42 16.26 16.30 17.58 18.41 18.04 18.98 20.28 20.28 20.28 20.76 20.92 21.42 21.93 21.35 22.67 22.67 21.61 22.68 22.44 22.44 22.44 21.67 21.45 21.80 21.06 20.50 20.50 19.19 18.63 18.08 17.73 16.41 14.35 12.69 11.33 10.62 9.66 7.93 5.43 3.73 4.12 3.77 5.03 6.01 8.27 9.45 11.92 13.87 14.01 15.47 16.77 17.73 17.95 17.41 16.09 16.64 17.41 15.56 14.49 13.18 12.39 11.33 8.99 8.50 7.68 7.19 7.10 6.26 5.07 5.43 6.26 6.37 6.87 6.87 7.19 7.10 8.33 10.00 9.59 9.66 10.96 12.26 13.24 13.45 13.71 15.02 16.34 16.87 17.66 18.19 17.95 17.95 19.27 19.81 18.49 17.95 16.41 15.87 14.55 12.30 11.01 9.01 7.10 4.29 2.95 3.58 6.07 7.68 9.32 11.32 12.92 13.76 15.09 15.21 15.21 16.51 15.37 14.25 14.49 13.71 12.39 11.38 10.62 10.07 9.32 8.01 8.98 8.98 7.45 7.66 8.19 8.50 8.84 9.59 10.00 10.42 12.15 12.61 13.08 14.06 13.74 13.74 13.74 13.45 14.24 15.10 14.35 13.24 13.24 12.87 12.15 11.74 11.18 10.44 10.44 10.44 9.88 10.29 8.98 8.98 10.54 10.54 10.54 10.82 11.93 11.93 11.93 13.24 13.74 13.74 13.45 12.92 13.46 14.01 14.35 13.44 13.44 13.44 12.02 11.92 11.80 11.80 11.21 11.21 11.92 12.02 12.02 13.44 14.91 14.91 16.41 18.19 20.32 22.24 24.68 27.13 28.77 30.41 32.06 34.53 34.89 35.61 36.82 36.82 38.10 38.56 37.27 36.82 36.82 36.82 36.82 35.16 33.50 33.50 31.84 30.18 29.73 27.99 25.89 25.06 22.95 20.42 19.59 17.13 14.73 13.24 12.65 12.69 12.15 13.29 14.34 15.37 17.13 18.30 20.70 23.69 27.34 31.00 34.10 37.45 40.73 44.45 46.31 47.60 50.03 51.17 51.89 51.74 50.88 50.75 49.81 48.25 47.44 44.85 42.43 41.35 38.85 37.02 35.96 35.32 35.30 35.16 35.01 35.36 35.98 37.45 39.51 41.61 44.00 47.17 49.53 50.84 53.58 55.82 56.89 58.04 59.09 59.44 59.82 60.21 59.86 58.76 58.21 56.69 55.18 53.67 52.17 51.62 50.31 47.92 47.60 46.73 45.32 44.49 43.59 43.42 42.69 41.40 40.14 40.11 39.48 38.91 38.91 38.34 37.79 37.83 38.41 38.41 38.41 38.41 38.41 38.93 38.91 39.50 40.66 40.66 41.25 42.43 42.43 41.84 40.66 40.66 40.66 40.11 39.05 38.46 37.35 36.42 36.06 34.73 34.32 33.54 32.83 33.05 32.97 32.15 31.62 31.62 31.10 30.33 30.85 31.62 31.36 30.87 30.64 30.64 30.97 30.42 29.66 29.81 29.26 28.14 27.59 27.04 25.93 24.84 23.99 23.99 23.75 22.55 21.92 21.92 21.35 20.90 21.29 21.67 21.29 20.45 20.42 20.90 20.90 21.25 21.29 20.90 21.25 21.67 21.67 21.67 22.09 22.56 22.12 21.67 22.09 22.56 22.12 22.12 22.56 22.52 22.95 22.95 22.52 22.95 22.95 22.09 22.12 22.56 22.09 21.67 21.73 21.73 21.67 21.25 20.45 20.02 19.59 18.75 18.33 17.92 17.13 16.69 15.83 14.17 13.33 12.92 11.70 10.49 9.59 8.37 7.10 6.37 5.27 3.77 +8.33 16.26 13.81 10.14 7.68 5.80 4.17 2.43 1.86 2.43 3.58 4.71 4.75 5.03 4.49 3.00 2.36 1.77 0.59 1.67 2.95 3.95 5.27 6.59 7.66 8.98 11.07 12.15 13.46 14.78 15.32 16.09 17.66 18.72 19.00 19.81 20.11 19.94 20.28 20.28 19.80 18.87 18.41 17.96 17.09 15.42 13.81 13.44 11.79 9.81 8.44 7.45 6.01 4.71 4.71 3.73 3.33 3.33 3.33 3.73 4.71 5.43 5.59 5.59 6.59 6.87 6.87 7.68 8.84 9.59 10.00 10.42 11.70 12.92 13.33 13.33 13.76 15.02 16.26 17.09 17.96 18.41 18.87 19.80 20.28 20.28 20.28 21.58 21.74 21.42 22.74 22.15 22.67 23.19 22.68 23.21 22.44 22.98 23.31 22.36 22.36 22.36 20.88 20.88 20.88 19.44 18.87 17.73 17.33 15.66 13.24 11.93 10.62 10.29 8.70 6.72 5.00 2.12 2.36 2.95 4.75 5.92 8.33 9.59 12.15 13.44 13.44 16.21 16.77 16.97 17.95 16.64 16.09 16.87 16.34 15.02 13.71 13.18 12.39 9.75 8.19 8.50 7.19 6.26 6.67 5.43 5.07 5.89 5.56 6.07 6.87 6.87 7.68 8.01 8.76 10.00 10.00 10.42 11.32 12.61 13.91 14.06 13.74 15.06 16.88 16.60 17.40 18.20 17.92 18.19 18.98 19.24 18.19 17.41 16.09 15.32 14.01 11.93 9.88 8.01 6.01 3.73 3.17 4.29 6.07 8.01 10.00 12.15 13.44 14.73 16.03 15.21 15.69 17.00 15.37 15.06 15.29 13.46 12.69 11.93 10.44 9.88 8.76 8.01 9.32 8.76 7.45 7.45 7.66 8.19 8.50 8.84 9.59 10.00 11.26 12.15 12.26 13.24 13.74 13.45 13.71 13.46 13.46 14.01 14.35 14.35 13.04 12.30 12.49 11.93 11.18 10.44 10.44 10.62 10.29 10.54 8.98 8.98 10.54 10.82 10.62 10.96 11.44 11.93 11.93 12.43 13.74 13.45 12.92 12.92 13.18 12.92 13.24 12.87 13.44 13.44 12.02 11.26 11.21 11.84 11.21 11.26 12.02 12.02 12.02 13.44 14.91 14.91 16.41 18.98 20.83 22.44 25.17 27.13 28.77 30.76 32.30 33.96 35.25 36.07 36.54 37.37 37.73 38.19 38.19 37.27 36.82 36.82 36.44 35.25 33.96 33.13 31.94 30.65 30.18 28.53 26.41 25.12 23.47 21.35 20.07 18.35 15.86 13.91 13.24 13.45 12.69 13.60 14.73 15.72 17.34 19.00 22.00 25.00 28.67 31.78 34.32 37.59 41.60 44.93 46.06 47.92 50.51 51.48 51.89 51.89 51.02 50.88 50.05 48.44 47.00 44.34 42.43 41.29 38.75 37.02 35.78 34.59 33.86 33.50 33.75 34.89 35.67 36.68 38.95 41.61 43.93 47.14 49.55 51.48 54.25 56.51 58.17 59.18 60.22 60.57 61.12 60.97 60.42 59.86 58.76 56.69 55.18 53.87 51.81 51.62 50.69 47.76 46.88 46.60 45.65 44.85 43.50 42.76 42.63 41.90 41.26 40.66 40.11 40.14 40.14 39.59 39.05 38.52 39.05 39.05 39.11 39.70 39.64 40.14 40.14 40.14 41.26 41.26 41.26 42.43 42.43 42.43 41.87 41.85 41.26 40.14 39.05 39.11 38.67 37.21 36.75 35.30 34.49 34.29 33.38 32.73 33.21 33.21 32.15 31.89 32.69 32.45 31.65 31.62 31.65 31.41 31.41 31.19 30.97 30.76 30.01 29.81 29.81 29.26 28.14 27.59 27.25 26.93 26.09 24.78 24.27 23.86 23.22 22.75 22.64 22.56 22.92 23.33 22.92 22.09 22.12 22.56 22.56 22.95 23.35 23.39 23.35 23.33 23.33 23.33 23.33 23.78 24.62 25.00 24.59 24.22 24.62 25.42 25.89 25.45 25.42 25.89 25.45 25.42 25.89 25.45 25.01 25.06 25.01 24.59 24.22 24.62 24.59 23.78 23.39 23.35 22.95 22.12 21.25 20.45 20.07 20.02 19.62 18.79 17.92 17.13 15.86 14.17 12.92 12.09 11.26 10.00 8.33 7.10 +8.33 15.42 12.98 10.14 7.68 5.27 3.58 3.17 2.95 2.43 3.00 3.73 3.73 3.95 3.77 2.95 1.86 0.59 0.00 1.67 3.77 4.75 5.80 7.66 8.76 9.88 12.49 13.04 13.24 15.56 15.87 16.41 17.95 18.73 19.51 20.29 19.76 19.52 20.11 19.94 18.98 18.04 18.41 17.13 16.26 15.00 13.33 12.92 11.32 8.99 7.66 7.45 6.01 4.71 4.71 3.73 3.33 3.33 3.33 3.73 4.71 4.75 5.59 5.59 5.80 6.87 6.87 7.68 8.50 9.32 10.14 10.96 11.32 12.09 13.33 13.33 14.59 15.47 15.92 17.58 18.41 18.41 19.24 20.07 20.52 20.62 20.76 22.06 22.06 22.24 23.75 22.67 22.67 23.99 23.46 23.21 22.98 23.53 23.53 22.55 22.36 22.36 20.88 20.88 20.88 19.44 18.15 17.01 16.59 14.17 13.04 12.30 10.29 9.32 7.12 5.56 4.17 1.77 2.12 3.17 4.71 5.92 8.44 10.29 12.30 13.04 13.60 16.41 16.41 16.41 17.95 16.41 16.41 16.64 15.56 15.02 13.46 12.92 11.33 8.70 7.91 8.19 6.87 5.56 6.26 5.00 4.60 5.56 5.56 5.89 6.37 6.87 7.68 8.50 9.32 10.49 10.42 11.26 12.15 12.61 14.26 14.73 14.06 15.37 17.00 16.68 17.18 17.99 18.49 18.72 18.45 18.72 18.20 16.08 15.57 15.29 12.92 11.07 8.98 6.90 5.03 2.36 2.36 4.75 6.67 8.84 10.96 12.61 13.91 15.21 15.56 15.56 16.51 17.00 15.87 15.57 15.06 13.45 12.39 11.07 10.29 9.88 9.01 9.01 9.15 8.01 7.45 7.45 7.45 7.66 8.19 8.50 8.84 9.59 10.42 11.32 11.79 12.26 13.24 12.65 12.92 13.46 13.46 13.46 13.24 14.35 13.44 12.87 13.04 12.15 12.02 11.44 11.01 11.18 11.18 11.18 9.88 9.75 10.62 10.96 10.96 10.62 11.12 11.93 11.93 11.93 13.24 12.65 12.39 13.18 12.92 12.69 12.49 12.30 13.04 12.87 12.02 10.67 10.67 11.26 11.21 11.92 12.02 12.02 12.02 13.44 14.91 15.10 16.34 18.72 20.83 22.74 25.50 27.13 28.77 31.24 32.88 34.06 35.25 35.71 36.18 37.83 38.19 37.73 38.19 38.19 37.27 36.44 35.71 35.36 34.53 32.88 32.06 31.24 30.41 29.11 26.99 25.34 24.04 22.28 20.52 19.24 17.13 15.00 14.26 14.06 13.97 14.55 15.47 17.16 18.73 20.34 22.77 25.31 28.58 31.16 34.32 38.04 41.94 44.72 46.03 48.45 50.87 51.99 51.64 51.48 51.32 51.02 50.17 48.07 46.01 43.93 42.49 41.25 38.01 36.18 35.61 34.36 32.74 32.30 33.34 34.79 36.18 37.45 39.13 41.49 43.80 47.14 49.59 51.60 54.44 56.76 58.31 59.90 60.96 61.31 62.43 62.07 60.97 60.42 59.86 57.24 55.18 54.42 52.17 51.25 50.91 48.59 47.17 46.34 45.43 45.25 44.44 43.75 43.08 42.43 42.43 41.26 40.14 40.14 40.18 40.28 40.35 39.76 39.70 39.70 39.18 39.70 40.23 40.81 41.40 41.35 41.87 41.87 41.85 42.43 43.03 43.05 42.46 42.44 41.90 41.40 40.28 39.18 38.75 37.79 36.75 36.02 35.40 35.04 34.69 33.50 32.68 33.21 33.47 32.97 32.97 32.69 31.89 31.62 32.19 32.19 32.19 32.28 31.52 31.12 30.37 29.81 29.81 29.81 29.26 28.35 28.01 27.47 26.63 25.83 24.78 23.86 23.70 23.57 23.47 23.39 23.33 23.33 23.75 24.59 24.62 24.22 24.22 24.22 24.62 25.06 25.01 25.00 25.00 25.00 25.00 25.42 26.25 26.67 26.68 27.11 27.51 27.09 27.11 27.94 27.92 27.55 27.94 27.92 27.55 27.94 27.94 27.55 27.51 27.11 27.11 27.51 27.11 26.72 26.33 25.45 25.06 25.06 24.62 23.84 23.39 22.95 22.18 21.35 20.45 20.07 19.69 18.41 16.75 15.09 13.81 12.98 11.79 10.49 +8.50 15.09 12.61 10.14 7.68 5.27 3.00 1.86 1.67 1.86 3.00 3.73 3.17 2.95 3.33 3.33 1.67 0.00 0.59 2.43 5.03 6.15 7.29 9.15 10.29 11.44 13.44 13.44 14.01 16.77 16.77 17.33 18.63 19.38 19.59 20.04 19.51 18.98 19.52 19.30 18.30 17.33 18.04 16.75 15.47 14.59 12.92 12.15 10.62 8.70 7.38 6.59 5.59 4.17 4.12 3.73 3.33 3.33 3.33 3.73 4.71 4.71 5.43 5.59 5.59 6.59 6.87 7.68 8.50 9.32 10.14 10.49 10.42 11.67 13.33 13.33 15.00 16.26 16.30 17.13 18.35 18.79 19.24 20.07 21.35 21.45 21.58 22.55 22.74 23.75 23.75 22.44 22.95 24.27 23.99 23.46 23.75 23.53 23.53 23.31 22.36 22.36 20.88 20.88 20.88 19.44 18.03 16.76 15.72 13.87 13.29 11.58 9.72 7.86 5.59 4.75 2.50 1.32 2.12 3.58 5.30 7.10 9.59 11.44 12.15 13.04 14.35 16.41 16.41 16.41 17.41 16.09 16.09 16.09 15.32 14.24 13.18 12.39 9.75 8.19 7.68 7.19 6.72 5.07 5.00 5.07 4.25 4.75 6.07 6.07 6.07 6.87 7.68 8.50 9.32 10.96 11.32 12.09 12.92 12.98 14.26 15.09 14.73 15.69 17.00 17.00 17.49 18.49 18.49 18.80 18.49 17.69 17.49 15.37 14.87 14.73 11.79 10.14 8.50 5.56 3.77 1.67 2.12 5.56 7.68 9.32 10.96 12.61 14.73 15.69 15.87 16.88 17.40 17.40 16.60 15.81 15.02 14.24 12.69 11.18 11.18 10.44 9.01 8.44 8.01 7.45 7.45 7.45 7.45 7.45 7.66 8.19 8.01 8.76 10.00 10.42 11.32 11.44 12.43 12.13 11.86 12.92 13.24 13.79 13.04 13.60 13.44 13.44 13.44 12.02 12.02 12.15 11.74 11.18 11.18 11.18 10.62 11.33 11.44 10.62 10.82 10.82 11.44 11.44 11.93 11.93 12.43 12.13 12.13 12.65 12.15 12.69 11.93 11.93 12.49 12.15 12.02 10.67 10.67 10.67 10.67 12.02 12.02 12.02 12.02 13.44 14.91 15.87 17.13 18.20 20.62 23.05 25.50 27.47 28.99 30.65 32.41 34.53 35.36 35.71 36.44 37.27 38.19 38.19 37.73 38.19 37.83 36.18 35.36 35.36 34.53 32.88 32.06 31.24 30.41 29.59 27.13 25.83 24.87 23.10 21.35 19.24 17.58 16.30 15.83 15.09 15.37 15.81 16.41 18.08 19.19 20.88 23.15 26.15 29.30 31.89 35.22 39.13 42.86 44.72 46.77 49.39 50.70 51.45 51.81 51.25 51.08 50.91 49.31 47.74 46.12 44.59 43.16 40.66 37.29 35.94 35.30 34.14 33.26 33.23 32.94 32.67 34.36 36.68 38.21 40.69 43.75 47.14 50.21 52.26 55.03 57.91 58.88 60.62 61.87 61.68 62.63 62.63 62.07 60.97 60.42 58.35 55.53 54.60 52.94 51.32 51.02 49.47 47.96 47.18 45.83 45.03 44.88 44.85 43.62 42.43 43.03 42.49 41.40 41.40 40.93 41.00 41.00 41.00 41.00 41.00 40.42 40.35 40.93 41.59 42.69 43.16 43.12 43.12 43.64 43.05 43.05 43.05 43.05 43.08 42.63 42.69 42.10 40.42 38.85 38.37 37.59 36.91 35.96 35.24 35.67 35.36 34.00 33.73 34.26 33.21 31.89 31.62 31.62 31.62 32.19 32.19 32.19 32.83 32.62 32.24 31.68 31.12 30.37 29.81 29.81 29.11 28.56 27.80 26.63 26.35 26.10 25.50 25.34 25.22 25.12 25.06 25.00 25.00 25.45 26.28 26.68 26.72 26.72 26.72 26.72 26.72 27.11 27.92 28.33 28.33 28.33 28.33 28.33 28.33 28.75 29.59 30.01 30.01 30.01 30.01 30.01 30.44 30.84 30.44 30.44 30.84 30.88 30.88 30.44 30.05 30.01 29.61 29.21 29.21 29.27 29.21 28.83 28.38 28.38 28.07 27.16 26.33 25.58 24.76 23.84 23.01 22.28 21.45 20.62 19.45 17.68 16.38 15.69 15.09 +8.50 15.09 12.61 10.14 7.68 5.27 3.17 1.32 0.59 1.77 3.00 3.73 2.43 2.12 3.33 2.95 1.77 1.67 2.43 4.12 6.01 7.29 8.44 9.72 11.01 12.15 13.44 14.01 15.15 17.16 17.16 17.89 18.63 18.83 18.49 19.51 19.51 18.19 18.72 18.49 17.49 17.00 17.33 16.38 14.64 13.76 12.09 11.32 10.14 8.50 7.68 6.07 5.27 3.73 2.95 3.17 2.95 2.50 2.95 3.73 4.71 4.71 4.75 5.03 5.27 6.07 6.87 7.68 8.01 8.76 10.00 10.00 10.42 11.70 12.92 13.76 15.02 16.26 16.67 17.09 18.35 19.18 20.07 20.62 21.92 21.92 21.92 23.22 23.37 23.86 23.05 23.24 24.51 24.78 24.78 24.53 24.84 23.86 23.86 23.86 22.36 22.36 21.45 21.29 20.72 18.87 17.58 16.18 14.92 14.34 12.50 10.17 9.15 6.59 4.75 3.73 1.32 0.00 1.32 3.73 6.01 7.75 9.72 11.18 11.74 13.60 14.91 15.87 16.09 16.64 16.64 16.09 16.09 15.56 15.02 13.46 12.92 11.86 8.98 7.66 7.38 6.37 6.26 5.00 3.77 4.75 4.75 4.25 5.27 6.35 6.59 6.87 7.38 8.70 9.81 10.96 12.15 12.92 13.33 13.33 14.59 15.02 15.02 16.30 17.21 17.33 17.81 18.63 17.81 18.15 18.50 17.33 16.51 15.21 14.39 13.44 11.26 10.00 8.33 5.00 2.95 1.77 3.00 6.07 7.68 9.81 11.62 13.45 15.57 16.37 16.88 17.40 17.40 17.40 16.60 16.34 15.87 14.35 13.04 12.15 11.44 10.29 9.01 8.33 8.33 8.33 7.75 7.29 7.45 7.45 7.45 7.66 7.38 8.01 9.59 10.00 10.42 10.49 11.44 11.62 11.07 12.39 12.39 12.69 13.04 13.04 12.87 13.44 13.44 12.02 12.15 12.49 11.93 11.38 11.07 10.54 10.54 12.13 12.13 10.54 10.82 11.44 11.44 11.12 11.93 11.93 11.93 11.62 12.13 12.13 11.07 12.15 11.93 11.74 12.15 12.02 12.02 10.67 10.67 10.67 10.67 12.02 12.02 12.02 12.15 13.04 14.55 16.09 17.66 19.00 20.43 22.55 25.50 27.95 29.59 30.76 32.30 33.96 35.25 36.44 36.82 36.82 37.27 38.19 38.19 37.73 37.37 36.18 35.36 35.36 34.53 32.88 32.06 31.24 30.41 29.26 27.30 26.80 25.50 23.86 22.55 20.28 18.41 17.09 16.67 16.69 16.85 16.68 16.88 17.92 19.51 21.67 23.86 26.84 29.81 32.80 35.96 40.07 43.45 44.55 47.73 50.14 50.70 51.45 52.21 51.25 50.87 51.25 49.46 48.45 46.80 45.25 43.21 39.50 37.17 36.33 35.16 33.73 32.69 32.06 31.68 32.22 33.67 35.90 38.04 40.69 43.75 47.14 50.80 53.43 55.61 58.48 60.03 61.76 63.55 63.17 63.54 63.18 62.63 62.07 60.76 59.07 56.67 55.20 53.75 51.59 50.75 49.81 48.34 47.58 46.79 45.47 44.82 45.39 44.78 43.08 43.70 43.75 42.69 42.76 42.34 42.34 42.34 42.34 42.34 42.34 42.34 42.34 42.34 42.25 42.69 43.75 43.75 43.75 44.85 44.26 43.67 43.70 44.29 43.75 42.69 42.69 42.69 41.67 40.11 39.06 37.88 37.65 37.27 36.22 35.90 35.90 35.32 34.53 34.00 33.47 33.21 33.21 33.21 32.94 32.97 32.97 32.73 32.83 32.98 32.80 32.43 32.24 31.68 31.31 31.31 30.42 29.66 29.11 27.94 27.14 27.19 27.13 26.99 26.87 26.78 26.72 26.67 27.09 27.55 27.55 27.94 28.38 28.83 29.21 29.21 29.66 30.05 30.01 30.42 31.25 31.67 31.67 31.67 31.67 31.67 31.67 32.09 32.92 33.34 32.94 32.51 32.92 33.34 33.37 33.34 33.34 33.37 33.37 33.37 33.37 32.94 32.54 32.54 32.15 32.15 32.54 32.22 31.32 30.49 30.18 29.73 28.90 28.53 28.53 28.07 26.87 25.69 25.22 24.87 23.86 22.06 20.28 18.80 17.21 +8.33 15.00 12.09 10.03 7.55 5.07 3.44 1.77 1.86 1.77 2.12 3.33 1.67 1.67 2.95 2.43 1.86 2.12 3.58 5.30 6.51 7.86 9.15 9.72 11.74 12.87 13.44 14.73 15.87 17.16 17.16 17.89 18.63 18.63 18.63 19.59 19.27 17.95 18.19 17.92 17.40 16.88 16.18 15.56 13.81 12.92 11.67 10.42 9.66 8.50 7.38 6.35 5.59 4.17 3.00 2.64 2.43 2.12 3.17 3.73 4.71 4.71 4.71 4.75 5.59 6.35 6.59 7.19 7.55 8.37 9.59 10.00 11.26 11.70 12.09 14.59 15.02 15.42 16.67 17.92 18.79 19.24 20.90 21.35 22.28 21.92 21.92 23.57 24.04 24.19 23.55 25.07 25.83 24.78 24.78 24.78 24.78 23.75 24.07 23.86 22.36 22.36 22.18 21.29 20.01 18.15 17.01 15.72 14.34 13.76 11.26 9.45 8.33 5.92 4.71 3.58 1.67 0.59 2.12 5.27 6.90 7.45 8.98 11.07 12.69 14.35 14.91 15.10 16.09 16.87 16.09 16.09 15.56 14.49 14.25 13.45 12.39 10.54 8.70 7.66 6.90 5.80 5.56 4.60 3.33 3.77 4.75 4.49 4.49 5.80 6.90 7.45 7.66 8.99 10.14 10.96 12.61 13.44 13.44 13.81 15.42 15.42 15.47 16.75 17.58 17.58 17.58 18.41 17.58 17.58 18.41 17.58 15.47 15.02 14.64 12.15 10.42 9.59 8.01 5.27 2.95 2.95 4.17 6.72 8.76 11.38 12.69 14.24 15.81 16.60 17.40 17.40 17.40 17.40 17.13 17.41 16.41 13.60 13.04 12.87 10.75 10.17 10.09 9.43 9.43 8.84 7.66 7.68 7.75 7.29 7.45 7.45 7.45 7.66 8.50 9.59 10.00 9.59 10.14 10.82 10.54 11.86 12.39 11.61 12.15 12.49 12.30 13.04 12.87 12.15 12.49 12.49 12.30 12.49 12.15 11.07 10.54 12.13 12.13 10.54 11.62 11.93 11.12 11.44 11.44 11.93 11.93 10.82 11.86 12.39 11.07 11.07 11.38 11.18 11.01 11.44 12.02 10.67 10.67 10.75 10.17 11.44 12.02 12.02 12.87 13.24 14.24 15.81 17.40 19.81 20.92 22.40 25.22 27.34 29.11 31.58 33.13 33.50 34.79 36.54 37.01 37.01 37.37 37.73 38.19 37.83 37.01 36.18 35.36 35.00 34.32 33.50 32.20 31.05 30.73 29.11 27.80 27.30 25.67 24.36 23.37 21.58 19.80 18.41 17.09 17.92 17.96 17.21 17.81 19.00 21.08 23.21 25.39 27.80 30.42 33.59 36.55 40.49 43.33 45.19 48.37 49.68 50.77 51.66 52.21 52.00 51.62 51.43 49.22 48.32 46.60 44.38 42.25 38.93 37.72 36.12 34.32 33.36 31.62 30.90 31.71 32.60 32.86 34.59 37.48 40.69 43.75 47.14 50.80 54.09 56.29 58.48 60.74 62.49 64.12 64.12 65.03 64.66 63.36 63.36 61.87 59.66 57.63 55.61 54.02 52.47 50.97 50.09 49.34 47.96 47.23 46.58 45.37 45.98 46.61 45.03 45.03 45.03 44.00 43.59 43.69 43.69 43.69 43.69 43.69 43.69 43.69 43.59 43.01 43.50 43.93 44.39 44.39 44.39 45.51 46.10 45.56 44.97 44.92 44.39 43.27 42.69 42.76 42.34 41.37 40.59 39.34 38.39 38.01 36.77 35.90 35.90 35.06 34.00 34.00 34.53 34.80 34.53 33.73 33.47 33.75 33.50 33.05 32.83 33.54 33.54 32.98 32.80 32.43 31.87 31.31 30.76 30.21 30.10 30.05 29.26 28.30 27.95 27.81 27.70 27.61 27.94 28.33 28.78 29.21 29.21 29.66 30.49 30.93 30.88 31.32 32.22 32.54 32.51 32.94 33.34 33.75 34.59 35.00 35.00 35.00 35.00 35.00 35.00 35.42 35.87 35.44 35.00 35.42 35.87 35.44 35.42 35.87 35.87 35.87 35.87 35.87 35.87 35.87 35.54 35.04 35.04 35.16 34.71 33.88 33.50 33.50 33.13 32.30 31.84 31.47 30.76 29.94 28.64 27.47 27.30 26.80 25.50 23.75 21.10 +8.50 15.09 12.15 10.03 7.19 5.27 3.73 1.86 1.32 0.59 1.67 2.95 1.86 1.86 2.43 2.36 1.86 2.43 4.12 5.92 7.10 8.92 10.17 10.17 12.87 14.01 14.45 15.72 16.44 17.16 17.73 18.30 18.46 18.63 18.63 18.83 18.49 17.95 17.95 17.41 17.13 16.08 14.55 14.73 13.44 12.15 11.26 10.00 8.76 8.01 6.87 5.80 5.43 4.71 3.73 3.17 3.00 2.64 3.00 3.00 3.58 3.73 3.73 4.29 5.59 5.80 6.07 6.87 7.68 8.50 8.84 9.59 11.67 11.67 11.67 15.00 15.00 15.00 17.09 18.35 19.18 19.62 20.90 22.18 22.64 21.81 22.75 24.19 24.68 25.17 24.56 25.37 25.67 24.56 24.78 25.03 24.78 24.53 24.84 23.86 22.36 22.36 22.36 20.88 19.44 18.03 16.76 16.18 14.84 13.02 10.62 9.43 8.27 6.01 4.17 2.43 1.77 1.67 3.17 6.07 7.38 7.66 9.52 12.15 13.46 14.24 14.78 15.10 15.87 16.34 15.81 15.81 15.02 14.24 13.71 13.45 12.13 9.22 8.19 7.68 5.56 5.07 5.07 3.77 3.33 2.95 3.73 4.86 5.03 5.03 6.15 7.45 8.44 9.81 10.14 10.96 12.26 13.57 13.91 14.64 15.86 15.86 16.26 17.09 17.52 17.09 17.92 18.35 17.09 17.92 18.35 16.67 15.02 15.02 14.64 11.79 10.14 8.99 7.66 6.01 3.73 3.77 5.43 8.27 10.17 11.74 13.24 14.55 16.09 17.41 17.95 17.95 17.95 17.95 17.95 17.95 16.41 14.01 13.87 13.29 10.67 10.67 10.67 9.43 9.43 8.27 7.68 8.25 7.66 7.10 7.29 7.45 7.45 7.45 7.66 8.50 9.59 8.76 8.84 10.14 9.81 10.54 12.15 11.93 11.93 11.93 11.93 12.49 12.30 12.49 12.49 12.30 12.49 12.69 12.69 12.15 11.07 12.13 12.13 10.82 11.93 11.62 11.62 11.93 10.82 12.13 12.13 10.54 11.07 12.15 11.93 11.18 11.18 11.18 10.44 10.29 11.44 10.75 10.17 10.87 10.17 10.75 12.02 12.15 13.04 13.79 14.78 16.08 17.18 19.30 21.42 23.37 25.34 26.99 28.99 31.47 33.23 34.06 34.42 35.71 37.01 37.01 37.83 37.83 37.48 37.61 37.27 36.78 35.48 34.32 33.99 33.99 32.36 30.73 30.73 29.11 28.61 27.30 25.67 25.17 23.86 22.55 20.76 19.80 18.41 18.75 18.75 18.41 19.45 20.62 22.67 24.78 26.93 28.56 31.19 34.59 37.22 41.16 43.56 46.19 48.82 49.36 50.92 51.45 52.31 52.42 51.45 50.70 49.01 48.65 46.31 43.46 41.95 39.05 37.72 36.02 34.10 32.46 30.58 30.73 31.39 31.77 32.54 34.28 37.09 40.69 43.75 47.14 50.80 54.67 57.35 59.51 61.88 63.46 64.91 65.08 65.98 65.98 64.68 64.12 62.65 60.62 58.61 56.31 54.78 53.28 51.75 51.02 50.31 48.96 48.32 48.32 47.20 46.69 47.32 46.34 46.42 47.09 46.70 45.65 45.07 45.07 45.07 45.07 45.07 45.07 44.96 44.85 44.38 44.85 45.75 45.68 45.68 45.68 46.27 47.38 46.79 46.15 45.62 45.68 45.10 44.00 43.50 43.01 42.06 40.73 39.74 38.21 37.27 36.55 35.90 35.90 35.60 35.32 35.05 34.80 34.53 34.00 33.47 33.47 33.50 33.05 32.83 32.83 33.54 33.54 33.54 33.54 32.98 32.24 31.31 31.31 30.97 30.33 30.31 30.57 29.61 28.77 28.64 28.90 29.66 30.01 30.42 30.88 30.88 31.32 32.22 33.05 33.43 33.81 34.71 34.71 34.21 35.04 35.87 35.42 35.44 36.27 36.67 36.67 36.67 36.67 36.67 36.67 36.67 37.10 37.94 38.33 37.92 37.54 37.94 37.92 37.54 37.94 38.37 38.37 38.37 38.37 38.37 38.48 37.97 37.14 36.82 36.82 36.82 36.82 36.82 36.90 36.54 35.61 34.89 34.18 33.36 32.20 30.90 30.56 29.92 28.30 27.70 26.99 +8.50 15.09 12.61 10.14 7.19 5.07 3.44 1.32 0.00 0.00 1.67 2.12 1.77 2.36 2.36 2.43 2.95 3.73 5.30 7.10 8.27 9.50 10.17 11.33 13.87 14.58 15.15 16.30 16.87 17.58 18.30 17.73 17.89 18.63 18.63 18.08 17.73 17.95 17.41 16.34 16.08 15.06 13.74 14.06 13.08 11.32 10.42 10.00 8.33 7.10 6.37 5.03 4.75 4.71 3.58 3.00 3.17 2.95 3.00 3.00 2.95 3.73 3.73 4.49 5.27 5.27 6.07 6.87 7.19 8.37 8.37 8.76 11.67 11.67 11.67 15.00 15.00 15.00 17.92 18.79 19.24 20.07 20.90 22.56 22.56 22.18 24.40 25.01 24.68 25.50 25.17 24.86 25.67 25.37 25.58 25.83 25.31 25.61 24.84 23.53 22.55 22.36 22.36 20.88 19.44 18.03 16.67 16.08 14.25 11.80 10.02 8.84 7.10 5.03 3.44 2.12 2.36 3.44 4.25 6.07 8.19 8.98 10.62 12.69 13.46 14.24 15.02 15.02 15.02 15.81 15.81 15.81 15.02 14.24 12.92 12.65 11.62 8.70 7.91 6.87 5.07 5.07 4.60 2.95 3.17 3.00 3.00 4.49 5.03 4.75 6.01 7.45 8.98 10.54 10.54 11.62 12.26 13.44 14.26 15.09 15.92 15.92 16.75 17.58 17.96 17.09 17.92 18.35 17.09 17.92 17.96 15.92 15.09 14.73 14.06 12.13 10.54 8.98 7.29 6.48 5.27 5.56 6.72 8.86 10.75 12.02 14.17 15.47 17.33 18.08 18.28 18.83 18.63 18.63 18.63 18.08 16.21 14.73 13.87 12.60 11.26 11.21 10.62 9.43 9.43 8.33 8.33 8.27 7.68 7.68 7.66 7.75 7.29 7.45 7.45 7.66 8.50 7.93 8.33 9.59 8.84 9.32 10.31 10.83 11.93 11.93 11.93 11.93 11.93 12.69 11.93 11.93 12.69 12.69 12.69 12.92 11.86 12.13 12.13 11.62 11.93 10.82 12.13 12.13 10.54 12.13 12.13 10.54 10.54 11.07 11.38 11.18 11.01 11.44 11.44 10.29 10.29 10.87 10.17 10.75 10.75 10.29 11.18 11.93 12.69 13.46 15.02 16.60 17.69 19.12 20.76 23.37 25.50 27.47 29.82 30.65 32.41 34.53 34.89 35.61 36.82 36.82 37.27 37.37 37.01 37.01 36.65 36.78 35.63 33.99 33.99 33.99 32.36 30.73 30.73 29.11 29.11 27.80 25.67 25.67 24.36 23.37 21.58 20.62 20.07 19.59 20.02 20.16 20.76 22.24 23.75 25.58 27.94 29.26 32.19 35.36 37.99 42.18 44.04 46.67 49.30 49.60 50.92 52.23 52.77 51.99 50.99 50.56 49.39 48.45 46.06 43.59 42.06 39.83 38.34 36.58 34.00 31.73 30.64 30.62 30.18 30.49 32.36 34.79 37.27 40.80 44.39 47.73 50.80 54.60 57.84 60.67 62.89 64.31 65.74 66.62 66.94 66.37 65.64 64.91 63.46 62.03 59.76 57.45 56.67 54.67 52.71 52.02 51.32 50.09 49.53 49.59 49.13 48.68 48.75 48.34 47.86 47.96 48.07 47.62 47.17 47.17 47.17 47.04 46.47 46.47 46.92 47.04 47.04 46.80 47.67 47.67 47.67 47.58 46.92 47.38 47.38 47.38 46.34 46.34 46.34 45.34 44.76 43.69 42.76 41.30 40.31 39.51 38.77 38.08 37.22 36.68 36.63 36.63 35.58 34.80 34.79 34.53 34.26 34.00 34.04 34.36 34.14 33.38 33.54 33.54 33.54 33.54 33.54 33.54 32.83 32.83 32.28 30.87 30.05 30.85 30.92 30.76 31.47 31.77 31.71 31.68 32.11 32.98 33.37 33.43 33.96 34.79 35.54 36.37 36.82 36.75 37.14 37.58 37.54 37.92 38.37 38.37 38.33 38.33 38.33 38.33 38.33 38.33 38.33 38.75 39.59 40.00 40.01 40.44 40.84 40.44 40.44 40.84 40.87 40.87 40.87 40.87 40.47 40.52 40.91 40.52 40.14 40.14 40.14 39.76 38.93 38.93 39.48 38.66 37.48 36.78 35.96 35.63 35.14 33.99 32.74 31.43 30.92 30.29 +7.93 14.64 12.61 10.14 7.68 5.56 3.44 1.86 0.59 0.00 1.32 1.86 1.18 1.77 2.43 2.95 3.77 5.03 6.51 7.68 8.92 9.50 10.75 13.18 14.34 15.02 15.72 16.44 17.01 17.58 17.73 17.73 18.30 18.46 18.63 17.33 16.97 17.95 16.64 15.56 15.29 14.25 13.74 13.24 11.79 10.42 10.00 9.59 8.01 6.87 6.07 4.49 3.73 3.73 3.00 2.43 2.95 3.33 3.17 3.00 3.58 4.12 3.58 4.49 5.27 5.27 5.56 6.26 6.67 8.33 8.76 8.84 11.32 11.26 11.67 15.00 15.00 15.42 18.35 19.18 19.62 20.07 20.90 22.56 23.01 23.10 25.22 25.22 24.87 25.83 25.50 25.17 26.17 25.87 25.87 26.39 25.83 25.56 23.99 23.75 23.31 22.36 21.80 20.50 19.02 17.58 16.18 14.34 12.60 10.67 9.43 8.27 6.01 3.95 3.33 2.95 2.95 4.75 5.83 6.87 8.70 10.02 11.07 12.39 13.71 14.24 15.02 15.02 15.02 15.81 15.81 15.29 14.25 13.74 12.13 11.62 10.62 8.50 7.68 5.56 5.07 5.07 3.33 2.43 3.00 3.00 3.00 4.29 4.75 4.71 6.01 7.45 8.98 10.54 10.54 12.13 13.24 13.57 14.06 15.37 16.51 16.38 16.75 17.58 18.41 17.58 17.58 18.41 17.58 17.21 17.33 16.18 15.37 14.55 13.45 12.15 11.01 10.09 8.86 8.01 8.01 8.50 8.98 10.67 12.98 13.57 14.92 17.01 18.30 17.73 18.63 19.94 19.59 19.44 18.87 17.73 16.44 15.72 14.34 13.02 12.39 11.79 11.21 10.67 10.09 9.01 9.01 9.01 9.01 8.44 8.33 8.27 7.66 7.75 7.29 7.45 7.66 7.38 8.01 8.33 8.37 9.20 8.84 9.32 10.31 10.83 11.93 12.15 11.61 12.15 12.15 11.61 12.39 12.39 12.39 13.18 12.39 12.39 12.39 12.65 12.13 10.54 12.13 12.13 10.54 11.86 12.15 11.18 11.18 11.18 11.18 11.18 10.44 10.44 11.01 10.87 10.17 10.75 10.75 10.17 10.87 11.01 11.18 11.93 12.69 13.46 15.02 16.60 18.20 19.81 20.92 22.88 25.34 28.17 30.18 30.18 31.84 33.96 35.25 36.07 36.54 37.01 37.01 37.01 37.01 37.01 36.18 35.83 35.14 33.99 33.99 33.99 32.36 30.73 30.73 29.11 29.11 28.61 25.67 25.67 25.17 23.86 22.55 21.92 21.73 20.42 21.25 21.73 21.92 23.37 24.36 26.68 29.02 30.57 33.47 35.85 39.02 42.43 44.54 47.17 49.28 49.81 50.87 52.72 52.47 51.69 51.45 50.99 49.24 47.73 46.03 44.03 42.18 40.59 38.46 35.36 32.60 31.45 31.31 30.85 30.65 31.27 32.54 34.53 37.27 40.33 44.44 48.91 51.91 55.06 58.33 61.72 63.79 65.19 66.74 67.60 68.32 67.60 66.89 66.31 64.31 62.76 60.45 58.33 57.59 56.18 54.88 53.64 53.04 51.91 50.84 50.95 50.50 50.09 50.28 50.39 49.92 49.47 49.60 49.88 49.88 49.31 49.31 49.60 48.59 48.59 49.03 48.45 48.19 48.07 49.02 49.02 49.02 49.42 48.75 48.68 48.68 48.68 47.67 47.67 47.67 46.70 46.70 45.77 44.88 43.88 42.33 40.99 40.28 39.39 38.30 37.45 36.63 36.38 36.10 35.32 35.32 35.32 34.79 34.28 34.04 34.36 34.69 34.49 34.10 33.54 33.54 33.54 33.54 33.54 32.83 32.83 33.05 33.21 32.45 31.94 32.04 31.94 32.22 32.60 32.94 34.17 35.04 35.54 36.31 36.75 36.90 36.90 37.27 38.10 38.48 38.86 39.69 40.08 40.03 40.44 40.87 40.87 41.25 41.67 41.67 41.67 41.67 41.67 41.67 41.67 41.67 41.67 42.09 42.92 42.93 42.53 42.92 43.34 43.37 43.37 43.37 42.97 42.57 42.97 43.41 43.46 43.46 43.46 43.46 43.16 42.33 41.42 41.14 41.25 40.90 40.55 40.21 39.39 38.57 37.92 37.80 36.99 34.87 32.41 +7.68 14.26 12.61 10.14 7.68 6.07 3.73 2.43 1.32 0.00 0.59 1.77 1.86 2.12 2.95 3.33 3.95 5.43 6.51 7.68 9.59 10.67 12.43 13.76 13.87 15.15 15.72 16.44 17.16 17.16 17.73 18.30 17.73 17.33 17.73 16.97 16.77 17.18 15.56 14.49 14.25 13.74 13.24 12.26 10.96 9.66 9.59 8.76 7.19 6.87 6.07 4.49 3.73 3.73 2.95 2.64 2.12 2.12 2.64 2.43 3.00 3.00 3.00 4.49 4.75 5.07 5.56 5.56 6.72 8.37 9.20 9.66 10.49 10.42 11.67 15.00 15.00 16.26 18.35 18.75 20.00 20.42 21.29 22.56 23.84 23.93 25.22 25.22 25.22 26.52 25.83 25.99 26.98 25.87 25.87 27.19 26.10 24.78 23.99 24.25 23.21 21.67 20.90 20.14 18.63 17.16 15.72 13.67 12.43 10.62 8.84 7.10 5.03 3.77 2.95 2.36 2.95 5.00 7.10 8.01 8.50 10.62 11.62 12.13 13.74 13.74 15.06 15.29 15.02 15.81 15.29 14.25 13.74 13.74 12.13 10.82 10.31 8.70 6.87 5.07 5.07 4.17 2.43 2.43 2.64 2.43 2.95 4.12 4.71 4.75 5.59 6.90 8.98 10.54 10.54 12.13 13.74 13.74 13.74 15.37 17.00 17.00 17.00 18.15 18.50 17.33 17.81 18.63 17.81 17.00 16.68 16.08 15.81 14.78 13.60 12.72 11.26 10.62 10.17 9.22 9.59 10.14 11.07 12.72 14.15 14.73 16.51 18.42 18.61 18.61 19.88 20.72 20.16 19.44 18.15 17.58 17.45 16.67 15.37 14.14 12.98 12.39 12.43 11.44 10.29 9.72 9.72 9.72 9.15 8.58 9.01 8.44 7.75 7.66 7.10 7.29 7.45 7.45 7.66 7.38 8.01 8.33 8.37 9.20 8.84 9.32 10.31 11.86 11.86 11.07 12.15 12.15 12.39 12.39 12.65 12.65 12.39 12.39 12.39 13.18 12.39 11.07 12.13 12.13 10.54 11.07 11.38 11.18 11.18 11.18 11.18 11.01 10.87 11.01 10.29 10.75 10.75 10.17 10.87 10.17 10.75 12.02 12.15 12.49 12.69 13.46 15.29 16.68 17.49 19.30 21.74 23.22 25.22 28.17 29.94 30.76 32.30 33.50 34.79 35.71 36.18 37.01 37.01 37.01 37.01 36.65 36.31 35.48 34.32 33.99 33.99 33.67 32.54 31.23 30.73 29.11 29.11 29.11 26.17 25.67 25.67 24.36 23.37 23.22 23.10 21.73 22.09 23.35 23.47 24.04 25.50 28.30 29.82 31.65 34.28 36.64 40.32 42.16 45.07 47.70 49.02 50.34 51.39 52.70 52.44 51.40 51.40 51.16 49.13 47.93 46.22 44.54 42.02 39.76 37.59 34.22 32.46 31.68 30.76 29.52 29.59 30.83 32.06 33.48 36.71 39.76 43.27 48.33 52.46 56.18 58.84 62.10 64.72 66.10 68.20 68.90 69.61 68.90 68.20 68.20 66.10 63.94 61.84 59.87 58.53 57.21 56.57 55.42 54.91 54.42 52.92 53.09 53.18 52.35 52.47 52.47 52.16 52.31 52.04 52.21 52.46 51.48 51.48 52.31 51.32 50.75 51.17 51.02 50.75 50.05 50.39 50.39 50.39 51.34 51.34 51.34 51.34 51.34 50.28 49.60 49.02 48.07 48.07 47.04 45.45 44.45 43.63 42.30 40.83 39.73 38.85 38.23 37.70 37.17 36.63 35.58 35.32 35.06 34.53 34.82 34.59 34.14 33.93 34.29 34.66 34.29 34.29 34.29 34.29 34.29 33.38 33.05 33.50 33.73 33.77 33.55 33.50 33.59 33.43 33.81 35.00 36.27 36.70 36.82 37.20 38.48 39.39 39.39 39.85 40.68 41.42 41.80 41.80 42.18 42.53 42.53 42.97 43.37 43.34 43.33 43.75 44.59 45.00 45.00 45.00 45.00 45.00 45.00 45.00 44.59 44.20 44.60 45.00 45.01 45.03 45.43 45.86 45.51 45.46 45.86 45.51 45.12 45.12 45.12 45.12 45.28 45.28 44.82 44.08 43.72 43.84 43.84 43.98 43.64 42.49 41.35 41.04 40.64 39.03 37.01 +7.68 14.26 12.61 10.14 7.68 6.07 3.95 2.95 1.67 0.00 0.00 0.59 1.32 2.12 2.95 3.77 5.03 6.01 7.10 8.84 10.67 11.92 12.50 13.18 14.45 15.72 15.72 16.44 17.16 17.16 17.89 17.89 17.16 17.16 17.33 16.97 16.41 15.87 14.78 14.24 13.71 13.45 12.43 11.44 10.96 9.32 8.84 7.93 6.67 6.67 5.43 3.95 3.73 3.58 3.00 2.43 1.86 1.86 2.43 2.64 2.95 3.00 3.00 4.49 4.49 4.75 5.89 5.56 6.87 8.01 8.76 10.00 10.00 10.42 11.70 14.59 15.42 16.69 17.92 18.33 20.00 21.25 22.12 22.56 24.22 24.67 25.12 25.12 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26.87 26.41 26.72 26.67 26.28 27.16 28.53 29.94 30.41 30.90 33.99 36.29 36.79 38.91 42.35 44.47 46.10 48.22 49.22 50.53 51.34 51.84 52.04 51.75 51.75 51.24 49.42 47.00 45.62 45.07 42.72 40.28 38.95 35.73 33.33 31.84 30.73 29.15 28.48 29.11 30.00 32.06 35.05 38.95 42.31 47.58 52.56 56.57 60.76 64.36 67.38 69.19 71.65 73.47 73.41 73.41 73.35 73.22 73.13 71.30 68.98 68.52 67.55 65.50 64.62 64.83 64.62 63.46 62.65 62.65 62.43 62.43 62.63 62.63 62.63 62.63 62.63 62.07 61.32 61.12 61.12 61.12 61.12 60.93 60.19 59.83 59.90 59.33 58.76 58.46 59.32 59.89 59.18 57.91 57.78 57.78 56.76 56.05 55.48 54.90 53.31 52.16 50.60 49.05 47.76 45.66 44.72 43.80 42.69 41.25 40.16 39.39 38.30 37.53 36.44 35.90 35.90 35.67 35.24 35.04 35.04 35.04 35.04 35.04 35.60 36.00 35.90 35.90 36.14 36.37 36.40 36.48 37.27 38.19 38.48 38.81 40.00 41.30 42.63 43.99 44.45 44.91 46.32 47.97 49.26 50.21 50.56 50.71 51.54 51.99 52.28 53.05 53.44 52.96 52.53 52.53 52.10 52.10 52.92 52.92 52.08 51.67 51.67 51.67 51.67 51.67 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66.62 66.74 66.47 65.32 65.19 65.07 64.83 64.14 62.41 60.56 59.77 59.19 58.61 56.98 55.36 54.08 51.90 50.75 49.60 48.02 46.31 44.60 43.88 42.17 40.07 39.51 38.95 37.83 37.27 37.27 37.27 36.71 35.79 35.79 35.79 35.67 35.32 35.32 36.12 36.69 37.10 37.48 38.19 38.86 40.00 41.70 43.46 44.91 46.10 47.56 49.36 51.03 51.84 52.66 54.17 55.78 56.90 57.71 57.86 58.36 59.40 59.75 59.91 60.53 60.92 60.49 60.02 59.58 58.75 58.75 59.17 58.76 58.34 58.34 58.36 58.34 58.33 58.33 58.34 57.93 57.51 57.93 58.36 58.34 58.76 59.60 59.58 58.75 58.75 59.58 60.00 60.43 60.86 60.45 60.53 61.42 61.87 61.49 60.74 60.83 61.76 62.34 62.47 62.13 61.94 62.43 63.09 62.96 62.66 61.76 +8.92 14.55 13.04 12.15 12.02 11.44 10.29 9.72 9.15 8.01 7.66 6.87 6.26 7.93 8.01 7.38 8.70 8.70 9.22 10.54 10.54 11.33 12.13 11.33 12.13 13.24 12.26 11.79 12.61 13.44 12.15 12.09 12.92 11.70 11.70 11.70 11.70 11.32 10.14 10.14 10.14 10.14 8.84 7.55 8.01 7.68 6.07 5.27 5.27 5.27 3.73 3.00 3.00 2.43 2.64 2.43 1.67 2.43 2.95 3.17 3.00 3.58 4.12 2.95 3.73 5.03 4.75 5.43 5.80 6.87 8.19 8.70 9.81 10.96 12.61 13.44 14.64 16.69 17.96 19.62 20.85 22.12 23.39 24.62 25.85 25.45 26.72 27.55 27.11 28.35 28.35 27.51 28.35 27.92 26.67 26.67 26.67 26.67 25.00 23.33 21.67 20.00 19.59 16.69 15.02 13.36 10.42 8.76 6.37 3.73 2.36 1.67 3.58 4.86 5.80 8.19 9.50 9.81 10.62 11.93 12.26 12.61 13.44 13.44 13.44 13.44 13.44 13.44 12.98 12.92 11.67 11.67 11.26 8.37 8.37 8.01 6.07 4.49 3.73 3.00 1.86 2.12 2.50 2.12 1.86 1.86 2.12 2.95 3.73 3.73 3.73 5.30 6.51 7.86 9.32 10.07 11.18 12.30 13.04 14.17 14.45 15.02 15.60 16.08 15.37 15.33 16.50 16.59 16.67 16.30 16.59 17.33 17.66 18.49 19.30 19.94 20.07 20.00 20.00 20.45 21.45 22.06 22.44 22.67 22.93 23.53 23.67 22.92 22.36 22.58 22.31 21.61 20.45 20.34 20.25 19.08 18.50 17.58 17.01 16.44 16.44 15.87 15.10 15.02 14.78 14.24 13.74 13.74 13.74 13.74 13.44 13.44 13.44 13.33 13.33 13.33 13.33 13.33 12.50 10.83 10.00 10.00 9.59 8.76 8.01 7.66 6.59 5.80 6.01 6.48 6.01 5.03 6.07 5.89 5.89 7.68 8.19 7.66 8.01 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52.23 50.50 49.47 48.45 47.17 44.88 43.73 43.31 41.77 40.07 39.34 38.21 37.27 37.09 36.52 36.71 36.35 35.79 36.00 36.14 36.10 35.32 35.08 35.98 36.94 37.01 37.65 39.20 40.44 41.80 43.62 45.49 47.07 48.22 49.72 51.24 52.55 54.17 55.69 57.01 57.91 58.21 58.35 59.00 59.53 60.22 60.37 60.59 61.36 61.29 60.43 60.00 60.00 60.00 59.60 59.19 59.17 58.76 58.36 58.34 58.33 58.33 58.34 58.34 58.34 58.36 58.36 58.76 59.19 59.19 59.58 60.00 60.00 60.00 60.00 60.42 60.86 60.49 60.09 60.53 61.04 61.11 61.57 61.66 61.29 61.87 62.47 62.61 62.76 62.43 62.28 62.96 63.46 62.12 +9.43 14.73 13.87 12.60 12.02 12.02 11.44 10.29 9.72 9.15 8.98 8.19 7.19 8.76 8.33 7.93 8.84 8.99 10.02 10.54 10.54 10.82 11.44 11.44 11.93 11.79 11.70 11.70 12.09 12.92 11.70 11.70 12.15 11.79 11.79 11.79 11.44 10.82 10.82 10.62 9.81 10.02 10.02 8.19 7.38 7.66 6.90 5.80 5.27 5.03 4.17 3.58 2.95 2.64 2.43 2.43 2.50 3.00 3.17 2.95 3.00 4.12 3.58 3.00 4.17 5.03 5.03 4.86 5.59 7.12 8.19 8.50 9.32 10.96 12.61 13.44 14.26 16.75 18.41 19.24 20.90 22.56 23.39 24.22 25.45 25.85 26.68 27.09 27.09 28.35 27.92 27.92 28.35 27.09 27.09 26.68 26.25 26.67 25.00 22.92 21.68 20.42 18.75 16.69 15.02 12.98 10.96 8.50 6.07 3.73 2.43 2.50 3.58 5.03 6.15 8.44 8.99 9.32 10.96 11.79 12.26 13.24 13.24 13.08 13.44 13.44 13.44 13.44 12.61 12.15 11.26 11.26 10.49 8.84 8.37 7.19 6.07 4.49 3.73 3.00 1.86 1.67 1.67 2.12 2.64 2.12 1.86 1.86 2.43 3.17 3.73 4.71 6.01 7.45 8.76 9.88 10.44 11.93 12.49 12.72 13.87 14.58 14.45 14.92 14.78 14.73 15.33 15.42 16.08 15.72 15.66 17.18 17.40 17.49 18.30 18.98 19.62 20.00 20.42 20.90 21.10 21.74 22.44 22.67 22.40 22.21 22.36 21.80 21.06 21.29 21.73 21.16 20.01 19.76 19.08 17.92 17.25 16.76 16.44 16.44 16.44 15.47 14.91 14.24 14.24 14.24 13.74 13.74 13.74 13.74 13.44 13.44 13.44 13.33 13.33 13.33 12.92 12.09 11.70 11.32 10.42 10.00 10.00 10.00 9.59 8.50 7.19 6.87 6.90 6.01 5.30 4.75 5.27 5.07 5.07 6.67 6.87 6.90 7.45 8.01 9.15 9.59 9.50 10.17 10.09 10.67 10.67 10.67 10.67 10.67 12.02 12.02 11.26 11.21 11.92 12.15 12.49 12.49 12.15 12.15 13.24 13.46 13.46 15.02 15.81 16.60 17.40 17.69 19.12 21.58 22.55 23.86 25.50 27.13 28.77 29.59 30.41 31.24 32.88 33.71 33.71 34.18 34.32 34.32 35.48 35.14 33.99 33.99 33.67 32.54 32.86 32.36 32.36 32.36 32.36 32.36 31.05 31.72 32.06 32.06 31.58 31.94 31.94 32.30 33.05 32.98 33.37 33.77 33.75 35.00 36.67 37.92 37.94 38.37 40.87 41.70 42.97 45.07 45.46 46.70 47.53 48.36 48.77 48.75 50.00 50.00 50.00 50.00 50.00 50.00 49.59 48.36 47.17 46.79 45.19 43.37 41.67 38.30 35.84 33.05 30.44 27.80 26.03 24.61 23.86 25.42 29.02 33.73 38.87 44.27 48.61 52.53 56.62 60.72 63.64 66.00 67.79 69.01 70.24 71.50 71.71 71.34 69.94 69.80 69.61 68.74 68.64 68.76 68.58 68.22 68.22 68.07 68.50 68.50 67.73 67.19 67.19 67.52 67.86 67.86 67.86 67.66 67.27 67.08 67.84 67.67 66.54 66.78 67.03 66.31 65.60 65.77 66.10 65.52 64.83 64.62 64.42 63.75 62.59 62.00 61.42 59.68 58.92 57.75 55.61 54.93 53.18 50.97 49.35 48.19 47.50 45.89 44.45 43.88 42.59 40.31 39.02 38.04 37.27 37.48 36.35 35.60 36.15 35.79 35.67 35.85 36.37 36.64 36.48 36.94 37.61 38.19 38.81 39.59 40.03 40.68 42.20 44.13 46.10 48.10 50.14 51.45 52.48 53.80 55.12 56.15 57.01 57.91 58.53 59.16 59.67 60.35 60.37 60.21 60.59 60.86 60.84 61.25 61.25 60.42 60.02 60.02 59.60 59.19 59.19 58.76 58.33 58.33 58.34 58.34 58.34 58.36 58.36 58.36 58.36 58.36 58.76 59.58 60.00 60.00 60.00 60.00 60.02 60.09 60.09 60.09 60.59 61.49 61.94 62.12 61.76 61.05 60.83 61.31 61.94 61.78 61.46 61.96 62.66 60.93 +9.43 14.01 13.76 13.76 12.60 12.02 12.02 11.44 10.29 9.88 10.29 8.98 8.44 9.81 8.84 8.76 9.59 9.66 10.14 10.14 10.14 10.14 10.49 11.70 11.70 10.42 11.26 11.70 11.70 12.15 11.79 11.44 11.93 11.93 11.93 11.93 10.82 10.54 11.62 11.44 8.99 9.22 10.54 8.98 7.66 7.38 6.59 6.35 5.59 4.75 4.71 4.71 3.73 3.17 3.00 2.95 3.33 3.73 3.73 3.77 4.49 4.75 4.29 5.03 6.01 5.92 5.92 5.34 6.01 7.45 7.66 8.70 10.02 10.82 12.26 13.44 14.73 16.85 18.04 19.24 20.90 22.56 23.39 24.22 25.06 25.89 26.72 26.72 27.55 27.94 27.51 28.35 27.92 26.67 27.50 26.67 25.83 26.25 24.62 22.56 21.73 20.90 18.41 16.75 15.09 12.61 10.96 8.50 6.07 3.73 1.86 2.12 3.54 5.59 6.90 7.66 8.70 10.02 10.82 11.93 12.75 13.08 12.61 12.61 13.44 13.44 12.98 12.92 12.92 11.70 10.42 10.42 10.03 9.59 8.33 6.67 5.43 3.95 3.73 3.00 1.86 1.67 1.67 1.86 2.43 2.95 2.95 2.12 2.12 2.64 3.00 4.12 6.01 7.45 8.01 9.15 10.44 11.74 12.15 12.02 13.44 14.01 13.76 14.25 14.15 14.14 14.15 14.25 14.92 15.15 14.78 15.81 16.88 17.00 17.00 17.21 17.92 18.75 19.62 20.07 20.76 21.42 21.12 21.08 21.08 21.67 21.80 20.69 20.50 21.29 21.16 20.01 19.44 19.30 18.61 17.45 16.76 16.67 15.72 15.15 14.45 13.44 13.44 13.24 13.46 13.46 13.45 13.74 13.74 13.74 13.44 12.98 12.61 12.92 12.92 12.09 11.70 11.70 11.70 11.79 11.32 10.42 10.00 9.59 8.76 7.93 7.10 6.37 5.80 5.03 4.75 4.71 4.75 5.03 4.75 5.00 5.56 6.07 6.59 6.90 8.01 8.44 9.01 9.59 9.45 10.67 10.67 10.67 10.67 10.67 12.02 12.02 10.75 10.29 11.18 11.93 12.49 12.15 12.15 12.49 13.46 13.46 13.46 15.02 15.81 16.60 17.40 18.49 19.94 20.76 22.06 23.70 25.34 26.99 28.64 29.46 30.29 31.11 32.41 33.36 33.50 33.99 33.99 35.14 35.48 34.32 33.99 33.99 32.86 32.54 33.67 32.36 32.36 32.36 32.36 32.36 31.87 32.20 32.20 32.54 32.06 32.06 32.41 33.13 33.50 33.50 33.88 34.65 34.61 35.42 36.67 38.33 38.33 38.33 41.25 42.10 43.37 44.60 45.01 46.25 47.09 48.34 48.34 48.34 49.60 50.03 50.03 50.03 50.03 50.03 50.03 49.60 48.33 47.53 46.79 44.82 42.43 39.39 36.99 34.26 31.52 28.31 25.34 23.35 22.40 23.84 27.13 31.96 36.18 40.69 45.62 50.21 53.70 57.76 61.29 63.66 66.04 67.27 68.48 69.15 69.37 70.09 68.78 68.07 68.33 68.17 67.67 67.46 67.08 66.71 66.91 66.97 67.19 67.31 66.55 65.66 65.66 66.21 67.11 66.91 66.16 65.78 65.60 65.60 66.37 66.78 66.37 66.78 67.46 66.74 66.03 66.22 65.99 65.30 64.62 64.42 64.33 64.25 63.08 61.92 61.25 60.08 59.42 58.25 56.00 54.75 53.58 51.34 49.12 47.96 47.28 45.77 44.30 43.59 42.89 41.30 40.31 39.34 37.83 38.04 37.48 35.79 36.35 36.55 35.90 35.32 35.32 36.12 35.98 35.96 37.01 38.10 38.37 38.75 40.08 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39.27 40.87 42.47 44.07 45.17 46.29 47.60 48.10 48.91 49.72 49.72 50.23 51.24 51.97 52.45 53.23 53.26 53.85 54.49 54.98 56.28 57.06 57.74 57.78 58.71 59.68 59.93 60.92 61.42 61.97 61.92 61.87 62.49 61.94 61.42 60.39 59.35 58.33 57.45 56.63 54.59 52.04 49.75 47.73 44.88 42.69 40.87 38.30 35.98 33.50 30.76 28.17 25.12 21.73 18.79 16.26 13.44 10.62 8.19 6.15 4.12 3.33 3.73 6.37 8.84 11.32 14.06 17.40 20.90 23.31 26.01 29.94 34.36 38.91 42.43 45.98 48.96 52.02 54.42 55.54 56.76 57.40 56.76 56.13 55.50 53.65 51.85 49.53 46.15 42.92 40.33 37.31 34.29 31.96 30.05 28.61 26.87 25.00 23.39 21.92 21.12 21.12 21.06 20.72 20.92 21.83 21.81 22.99 23.64 23.69 25.00 26.35 26.93 28.09 29.47 29.59 30.17 31.45 32.30 31.73 32.46 33.36 33.36 33.02 33.59 33.75 33.36 32.80 32.06 31.32 30.60 30.60 29.30 27.44 26.87 26.73 25.77 24.42 23.25 22.00 21.29 20.63 19.45 18.87 18.35 17.25 16.18 15.87 15.66 15.02 15.06 14.73 13.76 13.36 13.74 14.55 15.47 17.34 19.45 21.22 23.10 25.31 27.44 30.20 34.14 35.90 37.45 40.59 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27.49 27.99 29.02 29.78 30.58 31.36 32.19 31.96 31.19 31.31 31.68 32.24 32.43 32.24 31.50 30.37 30.60 30.60 29.63 28.33 27.04 26.73 25.44 24.16 23.46 22.31 21.61 20.34 19.00 17.72 15.37 14.14 13.02 12.02 11.18 8.98 8.01 8.01 8.21 8.33 8.86 9.72 10.83 12.13 13.74 14.87 15.47 16.67 17.92 18.79 19.62 20.07 20.28 20.28 20.28 20.28 20.28 20.28 20.28 20.28 20.28 19.69 19.24 19.33 19.24 19.18 18.79 17.96 17.52 17.58 17.13 16.30 15.56 15.09 15.21 15.06 14.25 13.45 12.92 12.15 11.74 11.92 11.26 11.20 10.67 10.29 11.18 11.18 12.15 12.13 12.26 13.44 13.44 13.44 14.26 14.64 14.19 14.64 14.64 13.76 12.92 12.15 11.79 11.44 10.82 8.98 7.29 7.10 6.51 6.15 6.37 6.67 7.10 8.01 8.70 9.52 10.29 11.07 11.93 12.30 12.49 13.04 13.44 13.44 13.87 14.45 14.73 15.15 15.02 15.60 16.08 15.42 15.37 15.37 15.92 16.50 16.50 16.51 16.59 16.67 17.25 18.42 18.42 17.83 18.50 18.50 18.50 19.18 18.50 18.61 18.61 18.50 18.50 18.42 18.35 17.72 17.10 16.50 15.37 14.34 13.87 12.69 12.13 11.79 11.79 12.15 12.15 13.02 15.37 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63.33 63.97 64.10 63.75 63.36 62.41 60.91 59.18 57.17 55.93 54.42 51.81 49.24 46.73 44.28 41.90 39.27 36.37 33.21 30.05 27.70 25.83 22.93 19.51 16.97 14.58 12.39 10.87 8.70 8.76 8.98 9.43 11.44 12.65 14.73 16.67 19.12 22.44 26.39 30.20 33.75 37.50 41.40 45.41 48.91 51.28 53.06 55.47 57.27 57.86 57.86 57.21 56.58 55.39 53.63 51.91 49.08 45.17 41.95 39.88 37.48 35.04 31.96 28.73 26.98 25.22 23.35 21.67 20.28 19.76 19.27 18.63 19.08 20.07 20.04 20.66 21.34 22.09 23.58 25.01 25.17 26.09 26.84 27.59 29.11 29.11 29.11 30.64 30.64 30.64 32.19 32.19 31.41 30.64 31.41 30.87 30.33 30.10 29.11 28.35 27.59 26.84 26.09 24.78 22.92 22.18 21.29 20.01 19.44 18.03 16.67 16.67 15.37 14.14 14.15 13.67 12.72 11.93 11.07 10.82 10.87 10.96 11.62 12.69 13.76 14.74 17.18 19.30 20.88 23.11 25.39 29.26 33.21 34.80 36.40 39.62 41.54 42.98 44.13 45.77 47.40 47.40 47.40 47.40 48.57 48.44 45.97 45.62 45.62 23.46 +26.87 27.99 29.02 29.53 29.78 30.33 30.87 31.41 31.41 31.96 32.83 32.62 32.24 31.68 31.12 30.37 29.81 30.03 29.30 28.33 27.95 27.39 26.47 25.17 24.45 23.15 21.87 21.16 19.44 18.03 16.67 14.34 13.02 11.79 10.67 9.15 7.12 5.89 5.56 6.72 7.07 8.01 9.75 10.82 11.79 13.44 15.09 16.67 17.96 18.79 19.69 20.07 20.07 20.28 20.28 20.76 21.58 21.92 21.92 21.45 20.62 20.28 20.07 20.07 19.69 18.79 18.79 19.18 18.75 18.35 17.96 17.09 16.26 15.47 15.09 14.73 14.06 13.24 12.43 11.86 11.07 11.18 11.44 10.75 10.62 10.02 10.09 11.01 11.18 11.38 11.07 11.62 13.08 13.44 13.44 13.81 14.19 14.64 14.64 13.76 13.76 13.81 12.61 11.79 11.79 10.96 8.99 7.66 7.29 6.48 6.01 5.80 6.26 6.67 7.10 8.50 10.02 10.54 10.54 11.38 12.49 12.69 13.04 13.44 13.44 14.01 14.73 14.73 15.02 15.02 14.92 15.42 16.08 16.59 15.95 15.92 16.50 16.51 16.59 16.67 16.67 16.67 17.25 18.50 17.92 18.03 18.03 18.03 18.61 18.50 19.18 18.50 18.50 18.50 17.83 17.77 17.72 17.10 16.51 16.01 15.02 14.73 14.24 13.74 13.44 12.98 12.13 11.74 13.02 14.78 15.60 16.44 17.52 18.45 19.00 19.30 19.94 20.16 20.02 19.59 18.35 17.09 16.67 16.26 15.02 13.76 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40.39 38.23 36.14 32.97 29.02 25.93 23.86 21.80 19.44 17.13 14.84 13.44 12.39 11.70 11.44 11.18 11.80 12.72 15.02 17.21 19.62 21.92 24.51 28.14 32.30 36.52 40.35 44.29 48.33 51.27 53.05 54.85 56.62 58.38 58.97 57.76 57.17 55.98 54.22 52.50 50.26 47.51 43.59 40.33 37.88 35.78 33.18 30.05 27.70 25.17 22.28 20.45 19.69 19.00 17.66 16.97 17.92 18.28 17.69 19.00 20.34 21.03 23.15 24.04 24.22 25.73 25.93 26.93 28.48 28.48 28.48 30.05 30.05 30.05 31.62 31.62 30.83 30.05 30.83 30.05 30.05 30.05 28.48 27.70 26.93 26.15 25.39 23.86 22.36 22.36 20.88 19.44 19.44 18.03 16.67 16.08 14.84 14.15 13.55 11.80 10.67 10.29 10.29 10.02 8.76 8.50 8.70 9.72 11.80 13.57 16.18 18.87 20.88 23.31 25.31 28.73 32.45 34.57 36.48 39.23 42.00 43.50 43.84 45.49 47.14 47.14 47.14 47.50 48.68 48.32 45.84 45.74 45.28 22.24 +26.87 28.22 28.73 28.73 29.52 30.33 30.64 30.64 31.19 31.73 31.52 31.31 31.12 30.37 29.81 29.81 29.81 29.63 28.90 27.77 26.65 26.09 25.53 24.78 24.04 22.36 20.88 19.44 17.16 15.72 14.34 12.60 11.92 10.67 8.84 6.59 5.27 4.60 3.44 4.71 6.72 7.38 8.50 10.49 12.50 13.76 15.00 16.75 17.58 17.58 18.15 18.87 20.16 21.58 21.92 22.06 22.06 21.92 21.92 21.81 21.35 20.62 20.52 20.90 20.45 19.59 18.79 18.35 18.33 17.92 17.09 16.67 16.67 16.26 15.47 14.64 13.91 13.08 12.26 12.13 12.13 12.15 11.18 9.72 9.45 9.43 9.45 9.72 10.29 10.54 10.54 10.82 12.26 12.98 12.92 13.76 14.64 14.64 13.76 13.76 14.64 14.26 12.61 11.79 11.79 10.96 9.81 8.44 7.45 6.59 5.92 6.15 6.37 6.67 6.67 7.10 8.50 10.02 10.54 11.07 11.93 11.93 12.49 13.44 13.44 13.44 13.44 13.87 14.34 14.34 14.84 14.84 14.84 15.92 15.91 15.32 15.92 16.59 16.67 16.67 16.67 16.67 16.67 18.03 18.03 18.03 18.03 18.03 18.03 18.03 18.61 18.42 19.00 19.00 18.35 17.72 17.72 17.09 16.59 16.67 15.72 14.91 14.24 13.74 13.44 12.92 12.26 12.69 13.76 14.14 14.92 16.44 16.59 17.18 18.72 18.49 18.63 18.87 18.79 19.17 18.35 17.09 16.26 15.47 15.09 14.26 12.15 11.70 11.70 10.42 9.59 8.01 7.68 7.38 6.90 7.45 6.59 6.48 6.51 6.01 6.01 6.01 6.01 5.59 5.27 5.27 5.27 5.27 5.03 4.86 5.03 5.03 4.86 5.03 5.03 4.75 4.71 4.71 4.71 4.75 5.43 5.59 5.03 4.75 4.75 5.03 5.03 4.49 4.75 4.75 4.25 4.75 5.07 5.43 5.89 5.43 5.56 6.37 6.67 6.67 7.19 7.68 7.55 8.01 8.50 8.50 8.50 8.70 8.70 8.50 8.99 9.50 8.99 8.50 8.50 8.70 8.70 8.50 8.50 8.50 8.19 7.66 6.87 6.59 7.10 7.10 7.68 7.66 8.33 9.15 9.52 10.54 11.62 12.26 13.81 14.59 14.59 16.30 17.21 17.33 17.00 18.30 19.30 19.00 18.72 18.19 18.49 19.59 19.38 18.63 18.63 17.89 17.73 18.87 19.44 19.44 19.44 19.30 19.76 20.34 21.03 21.03 21.03 22.44 22.44 22.44 23.88 24.61 25.34 26.84 27.59 28.35 30.42 32.50 33.50 34.53 36.10 38.48 40.07 41.67 43.27 43.78 44.82 46.42 46.70 47.22 48.25 48.49 49.02 47.96 47.99 48.59 49.24 49.39 48.83 48.74 49.47 50.39 51.92 52.84 52.61 54.91 56.60 57.75 58.95 59.59 60.83 62.05 62.74 63.45 64.10 64.25 64.33 63.84 62.88 62.41 61.94 61.04 59.60 57.89 55.77 54.24 52.17 49.39 46.42 44.00 41.80 39.39 37.10 34.49 31.68 28.33 25.01 22.31 20.76 20.07 18.03 15.47 15.29 15.09 14.26 13.71 13.29 13.55 14.45 15.81 18.41 20.90 23.24 26.39 30.37 35.02 39.33 43.16 46.57 49.50 52.45 54.81 56.01 57.21 58.38 57.76 57.76 56.57 54.21 52.47 50.26 48.61 45.83 42.06 38.87 36.59 34.10 31.41 28.73 25.83 23.05 21.35 20.02 18.63 17.18 16.64 17.45 17.18 17.09 18.42 19.30 20.16 21.80 22.76 23.53 24.53 25.31 26.63 27.67 27.94 28.46 29.78 29.78 30.31 31.62 31.10 30.05 30.05 31.10 30.05 29.52 29.78 28.73 27.16 26.63 26.39 24.84 23.53 22.55 21.80 20.50 19.59 18.87 17.01 15.72 15.02 14.34 13.67 12.39 11.21 10.67 10.17 9.32 8.70 8.76 9.32 9.22 9.72 11.21 13.02 15.72 17.89 20.14 23.21 25.83 28.50 31.43 34.67 36.94 38.91 42.20 43.84 43.84 45.49 47.14 47.50 47.39 47.76 48.59 47.76 46.48 46.02 45.19 22.40 +26.87 27.94 27.94 27.94 29.02 30.10 30.10 29.87 30.76 30.97 30.97 31.31 30.76 30.01 29.81 29.81 29.81 29.26 28.51 27.39 25.73 24.78 24.22 23.67 22.36 20.14 19.19 18.46 16.41 14.91 13.44 12.15 11.44 9.15 6.59 5.30 4.17 2.95 2.36 3.44 5.27 6.72 8.33 10.03 11.79 13.36 15.09 16.51 17.21 18.04 18.63 18.98 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4.49 4.25 4.75 5.27 5.07 5.07 5.56 6.26 6.37 6.07 6.26 6.67 6.87 6.87 7.19 8.19 8.50 8.50 8.50 8.70 8.70 8.99 9.50 8.99 8.99 9.32 9.32 9.50 8.99 8.50 8.01 7.68 7.68 7.38 6.87 6.87 7.29 7.10 7.07 7.07 7.75 8.01 8.98 10.02 10.62 11.79 12.98 13.76 13.76 15.47 16.38 16.51 17.00 17.49 18.49 18.72 18.19 17.95 17.95 18.49 18.83 18.63 18.46 18.30 17.73 17.73 18.87 19.44 19.30 19.08 19.67 20.34 21.03 21.16 20.58 21.87 22.44 22.44 23.88 24.61 25.34 26.84 27.59 28.35 29.87 32.19 33.75 34.53 36.10 38.48 40.07 41.39 43.50 43.78 44.07 46.19 46.42 46.66 47.70 47.96 48.77 48.28 47.28 47.38 48.08 48.65 48.59 48.19 48.54 49.50 50.50 51.48 51.91 53.64 55.39 56.62 58.41 59.11 60.39 62.15 62.27 63.00 64.25 64.33 64.42 64.62 64.14 63.10 62.76 62.32 60.60 58.88 56.90 55.20 52.94 50.69 48.45 46.22 43.80 40.99 38.04 35.05 33.59 31.45 28.09 24.34 22.40 22.58 21.16 18.83 17.99 17.96 17.58 16.08 15.47 15.42 15.37 15.87 17.40 19.59 22.40 25.58 29.11 32.87 37.01 41.40 45.41 48.33 51.27 54.21 56.01 56.60 57.77 57.76 57.76 57.17 54.80 53.09 50.80 48.49 46.34 43.69 40.33 37.45 34.32 31.31 29.11 26.93 24.27 21.92 19.62 17.58 17.00 16.60 16.44 16.67 17.13 17.72 18.61 19.59 20.69 22.44 23.21 23.99 25.56 26.35 27.14 27.94 28.73 29.53 30.05 30.57 30.85 30.33 30.05 31.10 31.10 29.78 28.99 29.26 28.73 26.88 26.63 26.09 23.99 23.21 22.44 20.90 20.14 19.38 17.89 16.44 15.72 15.02 14.34 13.67 12.39 11.21 10.67 10.17 9.32 8.70 8.37 8.50 8.98 9.72 11.20 12.50 15.15 17.89 20.14 23.21 26.35 28.73 31.43 35.30 37.27 38.91 42.20 43.84 44.19 45.74 46.93 47.76 48.14 47.68 48.51 48.06 46.79 45.95 45.12 22.75 +25.69 27.14 27.14 27.67 28.78 29.11 28.78 29.11 29.81 29.45 29.45 29.81 29.45 29.45 29.81 29.26 28.51 27.39 26.09 24.78 23.86 23.67 22.92 21.80 20.14 18.49 18.08 17.33 15.56 14.24 12.69 11.18 9.15 6.35 5.03 4.17 2.36 0.59 2.50 3.77 5.43 8.01 10.14 11.44 12.43 13.57 14.87 15.87 17.00 18.15 19.12 19.94 20.11 19.81 19.94 20.28 20.28 20.28 20.28 20.28 20.62 20.90 20.07 19.24 19.59 20.00 19.59 18.75 18.33 18.35 17.96 17.09 16.67 16.26 15.42 15.00 14.59 13.76 12.92 11.79 10.82 10.02 9.22 8.98 8.76 8.92 8.84 8.27 8.44 9.52 10.54 10.54 10.82 11.44 12.61 13.81 13.76 13.76 14.64 14.64 13.76 13.33 13.33 12.92 12.15 11.79 10.14 8.99 8.44 7.45 6.01 5.30 5.43 5.56 6.37 6.67 6.72 7.19 8.19 8.98 9.88 10.07 10.44 11.44 11.58 12.02 12.50 12.02 13.02 12.98 12.39 13.55 14.15 14.25 14.25 14.19 14.92 15.60 16.08 16.67 16.76 16.30 16.44 17.01 16.87 17.58 17.45 18.03 18.03 17.25 18.50 17.92 17.25 17.77 17.72 17.69 18.27 17.72 16.67 16.76 16.44 15.47 14.24 13.74 13.44 13.33 13.44 13.45 13.60 13.76 13.57 14.34 14.73 15.87 15.81 15.87 16.51 16.75 17.09 16.67 16.69 16.85 16.51 15.21 14.06 13.74 13.74 13.24 12.26 11.79 11.32 10.00 8.37 8.37 8.01 7.38 7.66 6.01 5.92 6.48 6.01 6.01 6.01 5.59 5.27 5.27 5.27 5.27 5.27 5.27 5.03 4.86 4.49 4.29 4.75 4.49 4.29 4.71 4.71 4.71 4.71 4.12 3.00 3.58 4.71 4.71 3.73 3.73 3.73 3.95 4.49 4.49 4.75 5.07 5.27 5.56 5.89 6.07 6.37 7.10 7.68 7.68 7.68 7.91 8.19 8.50 8.50 8.70 8.70 8.70 8.70 8.99 9.50 9.32 9.32 8.99 8.50 8.50 8.37 8.01 7.68 7.68 7.68 7.68 7.66 7.29 7.10 7.07 7.10 7.29 8.98 9.22 9.81 11.32 12.09 13.33 13.33 14.59 15.47 15.56 16.51 17.00 17.49 17.69 17.40 17.13 17.41 17.95 17.73 18.08 17.89 17.73 18.30 17.58 18.15 19.44 18.61 18.50 19.30 19.44 20.01 21.16 21.16 21.29 21.87 22.44 23.88 24.61 25.34 26.84 27.59 28.35 30.10 31.90 33.21 34.53 36.10 38.48 40.07 40.87 42.98 44.30 44.30 45.62 46.14 45.86 46.91 47.17 47.21 48.05 46.83 46.22 46.96 47.03 47.17 47.38 47.67 48.68 49.67 50.71 51.85 53.05 54.26 55.50 57.35 58.70 59.93 61.69 62.42 62.59 63.75 64.42 64.62 64.72 64.72 63.79 62.76 62.06 61.04 60.03 57.89 56.18 54.47 52.04 49.22 46.96 44.93 42.74 40.59 37.02 34.32 32.75 30.78 27.75 25.37 24.62 23.31 22.44 21.42 20.52 20.00 18.50 17.66 17.01 17.10 17.92 18.28 18.98 21.29 23.86 26.93 30.76 35.37 39.70 43.70 47.17 49.50 52.46 54.85 55.42 56.60 57.19 57.19 57.17 55.39 53.05 50.71 48.45 46.27 44.00 41.17 38.37 35.16 32.06 29.81 27.59 24.78 22.24 20.28 18.33 16.85 15.87 16.21 16.18 15.95 17.10 18.42 19.30 20.88 22.55 22.98 23.99 25.56 26.35 27.14 27.94 28.73 29.53 30.33 30.33 30.33 30.85 30.57 30.85 30.33 30.05 29.52 28.73 28.46 27.67 26.63 25.31 24.53 23.53 22.21 21.45 20.50 19.19 17.89 17.01 16.18 14.92 14.34 13.67 11.80 10.61 10.03 9.50 9.15 8.19 7.10 7.19 8.21 8.92 10.62 12.50 14.58 17.33 20.14 23.21 26.35 29.02 32.04 35.63 37.27 39.25 42.43 43.62 44.82 46.40 46.79 47.23 48.51 48.45 48.40 48.01 46.79 46.34 45.07 22.28 +23.70 24.78 25.31 26.39 26.70 26.84 27.04 27.59 28.33 27.95 27.39 27.04 27.04 27.77 27.77 26.65 25.91 24.78 23.67 22.92 22.36 21.80 21.06 19.94 18.49 17.41 16.41 14.91 12.92 11.86 10.54 8.98 7.12 5.56 4.75 2.95 0.59 1.77 2.43 4.29 6.90 8.44 9.75 11.33 12.65 13.45 14.25 15.29 16.08 17.18 18.49 19.30 19.61 19.30 19.30 19.94 20.28 20.28 20.28 20.28 19.80 19.24 19.18 18.79 18.35 18.33 18.35 18.35 17.92 17.52 17.58 17.13 16.26 15.47 15.02 14.59 13.76 13.33 13.33 12.92 11.79 10.14 8.99 8.98 8.98 9.15 8.33 7.66 8.33 9.15 10.29 10.02 10.31 11.12 12.26 13.44 13.44 14.26 14.64 13.76 13.76 13.81 13.44 12.98 12.53 11.70 10.49 9.81 8.70 7.66 6.01 5.92 5.92 5.27 5.27 5.43 6.26 7.10 7.68 8.21 8.76 9.32 9.72 10.29 10.87 11.33 11.92 11.92 12.39 12.96 12.37 12.39 13.67 14.34 13.67 13.76 14.73 14.01 14.45 15.72 16.44 16.44 16.44 16.44 16.44 17.01 16.87 17.58 17.45 16.67 17.92 18.42 17.72 17.72 17.72 17.09 17.69 17.72 16.67 16.30 16.59 16.77 15.81 15.37 14.73 13.76 13.44 13.74 13.46 12.72 13.02 14.15 14.34 14.91 14.24 15.06 15.69 15.09 16.26 16.26 15.47 15.56 16.51 15.37 13.74 13.74 13.74 13.74 13.24 12.26 11.79 10.96 8.84 8.76 8.76 8.01 7.68 5.80 6.15 6.01 4.71 4.71 4.71 4.75 5.03 5.27 5.27 5.27 4.75 4.49 4.49 4.29 3.73 3.73 4.71 3.73 3.73 4.71 4.71 4.71 4.12 2.95 2.95 4.12 4.71 4.12 3.00 3.58 3.73 3.73 4.29 4.49 4.49 4.75 5.27 5.27 5.56 6.07 6.07 6.87 7.68 7.68 8.19 8.19 7.91 8.19 8.99 9.50 8.99 8.70 9.22 9.50 8.99 8.50 8.50 8.50 8.50 8.50 8.37 8.37 8.50 8.01 7.68 7.68 7.38 7.45 7.29 7.10 7.07 7.10 8.76 8.98 9.22 10.62 11.32 12.92 13.33 13.76 14.64 15.09 15.56 16.51 17.00 16.68 16.88 16.60 16.34 17.41 16.97 17.33 17.89 17.16 17.73 17.58 17.58 18.87 18.03 18.03 19.44 19.44 19.44 20.01 21.16 21.73 21.87 22.18 22.92 24.22 25.17 25.93 27.25 28.24 29.80 31.65 32.97 34.53 36.10 38.21 40.32 41.39 42.18 43.75 44.54 45.86 46.64 45.86 46.39 46.67 46.19 46.83 46.77 45.66 45.89 46.16 45.65 46.42 47.38 48.45 48.94 49.50 50.71 52.56 54.42 55.70 56.94 57.59 58.84 60.67 61.92 62.00 62.59 63.26 63.46 64.14 64.72 63.68 62.52 61.94 61.04 60.46 58.61 55.74 54.02 52.74 49.88 46.88 44.74 42.76 41.37 38.85 35.75 34.30 32.43 30.06 28.50 27.16 26.09 25.31 24.56 23.57 22.09 21.35 20.11 18.49 18.73 18.27 17.58 17.92 19.62 21.92 25.03 28.90 33.75 38.01 41.40 45.39 47.73 50.69 53.65 54.81 56.01 56.62 56.60 56.57 55.98 54.21 51.88 49.04 46.79 45.03 42.25 40.11 37.45 34.16 31.32 29.26 26.93 23.99 21.42 19.24 17.09 15.69 15.87 15.30 15.42 17.10 17.77 18.61 20.88 22.36 22.55 23.75 25.56 26.35 27.14 27.94 28.73 29.53 30.33 30.33 30.33 31.14 30.33 30.33 30.85 30.57 29.78 28.73 28.48 28.48 26.93 25.39 25.39 23.86 22.36 22.36 20.88 19.44 18.15 17.01 15.72 14.92 14.84 13.60 11.79 11.21 10.67 9.59 8.44 7.38 7.93 8.37 8.98 10.17 11.21 13.02 15.02 17.33 20.04 22.67 25.87 29.11 32.36 35.63 37.61 39.95 42.79 43.62 45.28 46.93 47.31 47.23 48.45 49.67 48.40 47.57 47.13 46.30 45.07 22.18 +21.58 22.44 23.31 23.86 24.42 25.34 25.34 25.91 26.31 25.74 25.91 26.47 26.31 25.58 24.45 23.88 23.88 22.92 22.36 21.80 21.06 19.94 18.63 17.33 16.41 15.56 14.24 12.69 11.07 10.02 8.50 6.87 5.56 4.60 3.33 2.36 2.50 2.43 3.54 5.89 7.10 7.86 9.72 10.62 11.38 12.69 14.24 15.56 16.34 17.66 18.20 18.20 19.00 19.61 19.30 19.30 19.94 20.28 20.28 20.28 19.69 19.24 19.62 19.59 18.75 18.33 18.35 18.35 17.96 17.13 16.75 16.75 16.30 15.56 15.02 14.64 13.81 12.92 12.09 11.67 11.26 10.42 10.14 10.02 9.22 8.76 8.01 8.33 8.84 8.92 9.88 9.52 10.54 11.33 11.62 13.08 13.44 13.81 13.76 13.76 14.64 14.26 13.44 12.61 12.15 11.70 11.32 10.14 8.50 7.68 5.80 6.15 5.92 5.03 5.27 5.56 6.26 6.26 6.07 6.90 7.45 8.01 9.01 9.01 9.59 10.67 10.67 11.20 11.26 11.26 11.84 11.92 12.72 13.44 12.72 13.44 14.91 13.60 13.24 14.24 14.78 15.10 15.66 15.66 15.47 15.87 16.44 17.01 16.76 16.76 16.76 17.18 17.72 17.72 17.69 17.10 17.10 17.13 16.76 16.44 16.03 16.21 15.81 15.37 15.21 14.64 13.81 13.74 13.45 13.24 13.76 13.57 13.02 13.44 13.24 13.97 14.39 13.81 15.00 15.09 15.21 15.21 15.37 15.57 14.25 13.74 13.74 13.74 13.74 13.24 12.26 10.96 9.66 9.59 9.59 8.84 7.68 6.59 6.90 6.01 4.71 4.71 4.71 4.71 4.75 4.49 4.49 4.49 3.77 3.73 3.73 3.73 3.73 3.73 4.12 3.00 3.58 4.71 4.12 3.58 3.00 2.95 4.12 4.12 3.58 3.00 2.95 4.12 3.73 3.73 4.75 4.49 4.49 4.49 4.49 5.03 5.27 5.27 5.80 6.35 6.07 6.59 7.66 8.19 8.19 7.91 8.44 8.70 8.99 9.50 9.22 8.70 8.50 8.50 8.99 9.32 8.84 8.50 8.37 8.37 8.01 7.55 7.68 7.19 6.87 7.45 7.45 7.29 7.10 7.07 8.44 8.76 8.98 10.54 10.82 11.79 12.92 13.33 13.76 14.64 14.73 15.69 16.68 16.08 16.34 16.87 16.09 16.64 16.41 16.21 17.33 17.16 17.01 17.58 17.58 18.15 18.03 18.03 19.44 19.44 19.44 19.44 20.01 21.29 22.02 22.58 23.31 24.22 25.53 26.09 27.59 29.11 29.87 31.41 32.97 34.53 35.85 37.70 40.59 42.16 42.16 42.69 43.75 45.60 46.67 46.43 46.19 46.51 46.07 45.47 46.40 45.33 44.88 45.65 45.17 45.62 46.10 47.17 48.32 48.94 49.62 50.89 52.71 54.01 55.84 57.08 57.84 59.68 61.42 62.00 62.10 62.77 62.88 62.88 63.36 62.88 62.41 61.94 60.79 59.40 58.24 56.63 54.33 53.05 51.20 48.19 46.12 43.59 41.67 40.35 37.94 36.55 34.20 31.96 31.10 29.73 29.26 28.48 27.19 26.65 25.06 23.78 22.40 21.08 20.50 18.50 17.72 18.08 18.63 20.45 23.55 26.70 30.74 35.08 39.05 43.62 46.55 48.92 51.30 53.06 54.88 55.47 55.42 55.40 55.40 54.21 52.46 49.55 46.69 45.51 42.69 39.92 37.68 34.90 32.30 30.20 27.59 25.07 22.67 20.28 18.41 16.75 15.81 15.10 15.60 17.09 17.72 19.00 21.16 22.18 22.36 23.86 25.61 26.63 27.94 28.48 28.73 29.78 31.10 30.31 30.05 31.14 30.85 31.10 31.62 30.83 30.05 29.80 29.33 28.56 27.25 26.28 25.53 24.22 22.75 22.18 20.88 19.44 18.03 16.76 16.18 16.08 15.37 13.55 12.39 11.84 11.33 10.44 9.52 9.22 9.66 9.66 9.75 11.01 12.43 13.57 15.50 18.46 20.90 23.21 26.35 29.82 32.86 35.63 38.43 40.42 42.54 44.19 45.74 46.93 48.14 48.45 48.40 49.67 48.84 47.96 47.53 45.86 45.03 22.56 +19.12 21.45 22.36 22.36 22.75 23.15 23.72 24.30 23.72 23.58 23.58 23.58 23.58 23.01 21.87 21.73 21.73 20.88 20.32 19.19 18.46 17.33 16.21 14.91 13.60 12.69 11.86 10.54 9.22 8.19 7.10 6.26 5.00 3.44 2.36 2.95 3.77 3.73 5.34 7.10 7.66 8.86 10.09 10.87 12.30 13.60 14.35 15.10 15.87 16.41 16.34 17.13 18.19 18.49 18.80 19.00 18.80 18.63 18.63 18.63 18.87 19.24 18.79 18.33 18.33 18.33 17.96 17.13 16.75 16.75 16.75 16.38 15.56 15.21 14.64 13.91 13.44 12.98 12.15 11.26 10.42 10.00 10.14 9.81 8.50 7.66 7.45 8.33 8.27 8.27 9.15 9.32 10.83 11.07 10.82 12.26 13.44 13.44 13.44 14.26 14.64 13.76 13.33 12.92 12.15 11.79 11.32 10.03 8.84 7.68 6.59 6.35 5.59 4.71 4.49 4.49 4.75 5.07 5.27 5.80 6.90 7.29 7.68 7.68 7.68 8.86 8.92 9.59 10.87 10.29 10.44 11.18 11.93 12.69 11.93 12.69 14.24 13.46 13.46 14.24 14.24 14.24 14.78 15.10 14.91 14.91 15.47 15.87 15.72 16.44 15.72 14.92 16.08 16.59 16.51 16.50 16.51 16.59 16.30 16.59 16.77 16.41 15.81 15.37 15.21 15.09 14.59 14.06 13.74 13.71 13.44 12.50 11.79 12.02 12.49 12.39 12.26 12.92 13.76 13.44 14.55 15.57 14.77 15.29 15.02 14.24 14.49 14.25 13.74 13.74 13.24 11.44 10.49 10.42 10.00 9.59 8.01 6.87 6.87 5.80 4.75 4.71 4.71 4.71 4.71 3.73 3.73 3.73 3.33 3.73 3.73 3.73 3.73 3.73 3.58 3.00 3.54 3.58 3.00 3.00 3.00 3.00 3.73 3.00 3.00 3.58 3.54 3.58 2.95 3.58 4.12 3.00 3.58 4.29 4.49 4.86 5.03 5.80 6.90 6.59 6.07 6.90 7.45 7.66 8.19 8.70 8.98 8.70 8.70 8.70 8.70 9.22 9.32 9.32 9.50 9.32 9.20 8.84 8.37 8.37 8.37 8.37 8.01 7.10 6.87 7.45 6.90 6.15 6.51 7.07 7.75 8.01 8.44 9.81 10.14 10.49 12.09 13.33 13.33 13.76 13.81 14.73 15.37 15.57 15.57 15.81 16.09 16.09 15.87 15.47 16.59 17.16 16.44 17.01 17.58 17.58 17.58 17.58 18.87 19.44 19.44 19.44 19.44 20.88 21.45 21.87 24.04 24.22 24.78 26.09 27.59 29.11 29.87 31.41 32.73 34.59 35.90 37.45 40.33 42.18 42.72 42.72 43.50 44.82 45.65 46.51 46.07 46.22 46.40 45.49 45.89 45.32 44.96 44.67 44.44 44.92 45.39 46.55 47.76 48.45 49.13 49.78 51.02 52.33 54.25 56.67 57.35 57.93 59.68 61.42 61.61 62.30 62.77 62.10 62.00 61.51 61.03 60.45 59.77 59.09 57.45 56.29 54.55 52.70 51.34 49.02 47.67 45.75 43.27 41.35 38.91 37.75 36.07 34.42 33.75 31.89 31.52 31.36 29.82 29.26 28.07 26.25 24.67 23.37 21.61 19.59 18.94 17.92 17.92 19.62 21.58 24.07 27.87 32.26 36.65 40.66 44.20 47.17 48.96 50.76 53.15 54.29 54.26 54.26 54.26 53.05 51.85 50.10 47.20 45.43 43.16 40.35 38.01 35.26 32.73 31.01 28.33 25.93 23.99 21.42 19.80 18.33 17.00 16.34 17.16 18.42 18.87 19.48 20.92 21.87 22.75 24.22 25.17 26.93 28.48 28.48 28.48 30.05 31.62 30.58 30.87 32.19 32.19 32.19 32.19 31.41 30.64 30.64 29.87 28.35 28.14 27.77 25.58 24.45 23.15 22.44 21.73 19.76 18.50 17.77 17.72 17.13 15.33 13.57 13.02 12.50 12.02 11.18 10.54 10.54 10.14 10.14 10.54 11.18 13.02 14.14 16.08 19.02 21.06 23.86 26.93 31.10 34.06 35.98 39.23 41.18 42.68 45.02 46.57 47.31 48.89 49.28 48.45 49.28 49.67 48.40 47.17 46.34 45.07 22.28 +16.08 18.87 19.44 20.01 20.58 21.03 21.51 20.92 20.92 21.51 20.92 20.83 20.83 19.76 19.18 19.67 19.08 18.03 17.01 15.87 15.15 14.01 13.44 12.49 11.18 9.88 8.98 8.19 6.87 5.56 5.00 4.60 3.73 3.00 2.95 3.77 5.27 6.01 7.10 8.27 8.84 10.02 10.62 11.84 13.18 14.01 14.73 14.91 14.91 15.47 16.41 17.41 17.41 16.60 17.40 18.20 17.49 17.00 17.00 17.00 17.33 17.58 17.09 16.67 16.67 16.67 16.75 16.75 16.75 16.38 15.56 15.21 15.21 15.21 14.73 14.06 13.08 12.61 12.61 12.15 11.32 10.42 9.66 9.32 9.20 8.99 8.44 8.44 8.33 8.27 8.92 9.15 10.29 10.54 10.54 12.13 13.74 13.24 13.08 13.81 13.76 13.76 13.36 12.92 12.92 11.70 10.87 10.03 9.20 8.01 6.87 6.07 5.27 4.49 2.95 3.58 3.73 3.77 4.49 4.49 5.03 6.51 7.07 7.07 7.07 8.33 9.15 8.58 9.88 10.62 10.29 10.54 11.33 12.13 11.33 12.13 13.74 12.94 12.65 13.71 14.24 14.24 14.24 14.24 14.24 14.24 14.24 14.01 14.35 15.47 15.15 14.34 14.92 15.37 15.91 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29.21 29.21 28.33 27.11 26.72 26.33 25.58 25.22 24.87 23.86 22.44 21.08 20.04 19.59 18.63 17.16 16.08 14.74 13.57 12.50 12.02 11.58 10.83 10.02 9.81 9.66 8.76 9.17 8.76 8.01 8.19 7.66 7.45 7.45 7.45 6.59 6.51 5.92 4.71 4.75 5.03 5.80 6.07 5.56 5.56 6.26 6.67 7.10 7.93 8.37 8.37 8.37 8.50 8.50 8.99 10.02 10.54 10.54 10.54 10.29 9.88 9.88 10.07 9.88 9.88 10.29 10.29 10.44 10.62 10.54 10.82 11.62 12.13 11.93 12.26 13.24 14.06 14.87 16.03 17.68 18.98 19.80 20.28 20.62 21.45 21.92 22.40 23.22 24.04 25.01 25.50 25.99 26.98 27.49 28.22 28.73 28.73 29.52 30.58 31.41 31.41 31.96 32.83 32.83 33.38 34.29 34.29 34.49 34.49 33.93 34.49 34.49 33.38 32.83 32.83 32.83 32.83 32.62 32.06 31.58 32.26 33.13 33.61 34.81 36.92 39.18 42.33 46.42 50.14 54.02 57.75 60.74 64.58 67.66 69.13 70.97 72.83 72.72 72.61 73.44 72.25 71.79 70.03 67.46 65.34 63.31 61.76 59.28 57.16 55.51 54.68 53.51 51.99 51.32 50.67 49.53 49.53 49.22 48.61 48.53 48.49 48.75 47.99 47.28 47.05 46.07 44.91 44.54 42.59 41.49 40.69 38.67 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26.87 26.52 25.34 23.86 22.44 21.08 19.51 17.95 16.77 15.72 14.34 13.02 12.39 10.67 9.72 8.98 8.99 9.32 8.01 8.76 8.33 7.10 7.19 6.87 6.87 6.87 6.59 5.59 5.59 5.43 4.71 4.29 4.49 4.49 4.75 5.56 6.26 6.67 6.67 6.67 6.67 7.10 7.93 8.37 8.84 9.32 8.99 8.99 10.02 10.29 9.52 9.32 9.88 10.07 9.88 9.88 10.29 10.29 9.88 9.88 10.29 10.82 11.44 11.93 12.43 12.75 12.61 13.44 15.09 16.38 16.75 17.13 18.04 18.87 20.16 21.35 22.18 23.10 23.57 23.57 23.57 24.04 25.01 25.50 25.99 26.98 27.99 28.73 28.73 29.26 30.05 30.87 31.41 31.41 32.28 32.83 32.83 33.73 34.29 33.93 34.49 34.49 33.93 34.49 34.49 33.38 32.83 32.83 32.62 32.06 31.58 31.32 32.09 33.08 34.18 36.07 37.59 39.88 43.24 47.05 50.87 54.29 58.55 61.85 65.22 68.32 69.80 72.13 73.30 73.66 73.90 72.98 72.52 72.06 70.03 68.01 65.89 62.95 60.93 59.75 57.28 55.63 54.80 52.81 51.32 50.67 50.03 49.72 49.42 48.53 48.49 47.96 48.24 48.52 47.28 46.83 46.97 46.40 45.33 44.88 43.22 41.85 41.08 39.70 38.37 36.54 35.43 33.77 31.68 30.74 29.30 27.59 26.09 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41.60 41.52 39.73 38.30 37.72 36.89 34.59 32.62 30.60 20.25 +10.17 14.25 14.15 14.14 13.02 12.02 12.02 12.02 11.18 10.54 10.82 11.79 12.92 13.33 13.44 14.06 15.37 16.37 16.60 17.95 19.59 20.14 20.69 21.80 22.36 22.36 22.36 22.92 23.67 23.86 24.78 25.73 26.09 26.09 25.85 26.09 26.35 26.62 27.19 27.49 27.49 27.49 27.49 26.98 26.31 26.31 25.99 25.50 25.01 24.04 23.57 23.57 23.57 23.10 22.18 21.73 21.29 20.42 19.62 18.87 18.04 17.33 17.49 18.20 18.19 17.95 17.73 17.89 17.89 17.89 18.30 17.89 17.52 17.33 17.33 17.73 17.41 16.34 15.57 15.37 15.37 15.21 14.64 13.76 13.33 13.81 14.26 13.91 13.24 12.43 12.13 12.13 12.39 12.39 12.15 11.38 11.18 11.18 11.18 11.01 9.88 9.15 8.58 8.76 8.98 8.44 7.66 7.45 6.87 6.67 6.67 6.67 7.19 7.68 7.38 7.45 8.01 9.15 9.72 10.17 11.21 11.80 12.39 12.37 12.39 14.25 14.78 14.73 15.92 16.54 16.51 16.51 16.54 16.51 16.50 16.50 16.50 16.51 16.54 16.01 16.08 16.67 15.60 15.02 15.15 14.91 15.87 15.66 14.78 15.10 15.02 15.02 15.29 15.37 15.37 15.56 16.38 17.00 17.33 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30.64 32.49 33.33 34.32 36.59 39.51 42.14 45.35 48.49 51.97 56.80 60.34 63.09 66.68 69.80 72.13 73.66 75.66 76.13 75.78 76.96 75.66 74.01 72.36 69.53 67.54 65.07 62.27 59.49 56.72 55.28 53.06 50.37 49.29 47.96 46.14 45.89 45.19 44.35 44.54 44.19 43.16 42.89 44.04 43.80 42.92 42.69 42.53 43.05 43.60 43.08 42.63 42.69 42.76 42.43 41.61 40.73 40.47 40.44 40.28 40.28 39.62 39.02 38.48 37.16 36.12 35.60 35.17 34.17 32.36 31.05 30.24 28.77 27.34 26.05 24.52 23.37 21.92 20.28 18.63 17.00 15.57 14.49 13.71 13.24 12.72 11.33 11.79 12.43 11.92 12.72 13.44 14.35 15.32 16.64 18.98 19.52 20.62 23.05 23.86 25.50 27.13 27.47 28.64 29.94 29.94 28.99 28.90 28.44 26.78 25.12 23.47 21.35 18.41 15.09 12.26 9.50 6.59 3.58 2.95 3.73 4.75 7.12 8.70 10.31 12.43 13.74 14.55 15.37 17.00 17.00 17.49 18.80 19.94 20.28 21.58 22.55 23.86 25.01 25.69 28.17 28.64 30.65 33.05 32.98 35.04 37.10 37.09 38.33 40.42 40.03 40.97 41.50 40.31 39.60 39.55 39.11 38.01 36.64 35.60 34.14 32.06 30.17 20.34 +10.17 13.67 13.02 13.02 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26.93 26.93 26.70 26.28 26.09 25.91 25.58 25.89 26.35 26.84 27.27 27.72 28.28 29.49 30.73 31.43 32.26 33.75 35.16 35.30 35.61 35.22 34.10 33.73 33.38 31.31 29.81 28.33 26.31 23.72 20.45 17.25 14.14 12.50 10.62 8.84 8.01 7.66 8.33 10.67 12.02 12.15 13.24 15.02 15.81 16.08 16.68 17.00 18.63 19.80 19.69 20.07 20.90 22.56 23.39 24.62 26.25 26.67 28.33 29.59 30.44 32.54 34.21 34.65 35.16 36.54 36.18 35.83 36.78 36.12 35.48 35.17 33.26 32.41 31.65 30.42 28.51 26.01 25.00 18.87 +6.01 10.54 9.52 8.44 7.68 7.10 7.29 7.38 7.93 8.76 9.59 10.14 11.07 12.69 14.35 14.91 14.91 15.87 17.45 18.61 19.30 20.45 21.61 22.19 22.19 22.19 23.25 23.93 24.04 23.15 23.15 24.16 24.45 24.61 24.22 23.86 23.86 23.75 23.99 23.99 23.99 24.27 24.27 23.75 23.05 23.22 23.57 23.57 23.10 22.18 21.68 21.68 21.25 20.45 19.59 18.87 18.15 17.33 17.18 17.40 17.13 16.64 16.41 16.21 16.30 15.72 15.72 16.67 16.08 14.92 14.92 16.08 15.60 15.02 15.02 14.01 13.44 13.44 13.04 12.15 11.07 10.82 10.96 10.62 10.14 10.00 10.00 10.00 9.66 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6.07 6.07 6.07 4.75 4.25 3.44 2.64 1.77 1.86 2.36 3.00 5.27 6.59 6.90 7.45 7.45 8.98 8.98 8.01 8.44 8.33 8.27 7.75 8.01 8.21 7.68 8.33 9.59 10.14 10.14 10.14 10.82 12.13 13.45 13.74 13.74 13.74 13.74 14.06 14.39 14.26 14.19 13.81 13.81 14.59 14.59 13.81 13.36 13.36 13.36 12.98 12.15 11.26 10.49 9.66 8.50 6.87 5.27 4.29 3.58 3.73 5.00 5.27 6.01 9.01 10.67 11.80 14.25 16.08 17.25 19.08 21.61 23.46 26.01 29.30 31.50 33.93 36.77 39.85 43.22 46.91 50.61 54.09 58.72 63.09 66.35 69.62 71.26 72.90 76.18 77.82 77.82 77.34 76.03 76.03 74.39 71.59 69.62 66.35 63.59 61.34 57.81 54.60 52.72 50.60 47.99 45.42 44.21 43.80 42.68 40.88 40.59 40.46 38.95 39.33 39.76 39.64 39.52 39.48 40.07 40.14 40.28 39.83 39.83 39.43 39.76 40.59 40.88 41.04 40.25 40.07 40.28 40.49 40.39 40.09 40.33 40.59 40.06 39.53 39.27 39.27 39.27 38.52 38.01 37.72 36.92 36.64 36.12 34.87 34.28 33.73 33.21 32.69 31.89 31.65 30.87 30.05 29.80 29.02 28.56 28.35 28.35 28.51 28.33 28.58 28.31 28.20 29.09 29.52 29.49 30.64 31.84 33.08 34.42 35.26 36.06 36.88 37.16 36.59 36.02 35.61 35.22 32.62 30.60 29.30 27.44 24.87 21.61 18.35 15.33 13.08 11.18 10.14 9.59 8.99 9.72 11.20 11.92 12.02 12.87 14.78 15.81 15.29 15.87 17.00 18.15 18.87 19.24 20.07 20.90 22.56 23.39 23.78 25.42 26.67 27.92 28.78 30.05 32.54 33.43 33.96 34.42 35.36 36.31 35.48 35.63 35.48 34.87 35.08 33.21 31.36 30.64 29.81 28.58 26.35 24.27 18.46 +5.27 9.81 8.44 7.45 6.59 6.01 6.90 6.87 6.67 7.19 8.50 10.31 12.15 13.04 13.44 14.01 15.30 17.01 18.03 18.50 19.08 20.25 21.42 22.09 22.19 22.19 23.17 23.17 22.67 22.31 23.01 24.04 24.16 23.88 23.48 23.67 23.86 24.07 23.99 23.99 24.25 24.27 24.27 23.55 23.05 23.37 23.57 23.10 22.18 21.73 21.68 21.25 20.45 20.07 19.62 18.98 18.30 17.49 16.88 16.34 16.09 16.41 16.41 16.59 16.87 16.44 16.30 16.67 16.67 16.08 14.92 14.84 14.84 14.34 14.34 13.76 12.60 12.02 11.74 12.15 12.15 11.12 10.96 10.82 10.14 10.00 10.00 10.00 9.59 8.84 8.50 8.19 7.91 8.44 8.98 8.70 8.70 8.98 8.98 8.44 7.66 7.45 7.45 7.45 7.66 7.68 7.38 6.87 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20.07 16.51 14.34 12.49 10.62 10.00 9.66 9.88 10.62 11.26 12.02 12.15 14.01 15.29 14.25 15.37 17.00 17.33 18.04 19.24 20.07 20.45 22.09 22.92 23.35 25.01 26.28 27.16 28.44 30.10 31.84 32.41 33.71 34.53 34.18 35.96 35.63 34.49 34.67 34.06 34.28 32.94 30.87 29.66 28.33 27.87 26.25 24.19 18.63 +4.60 8.84 7.38 6.90 5.92 5.03 5.80 6.37 7.10 8.19 9.22 10.83 11.93 12.30 13.29 14.45 16.18 17.45 18.61 19.18 19.67 20.76 21.34 21.34 21.42 22.67 23.83 23.25 22.67 22.77 23.46 24.04 24.04 23.72 24.04 24.22 23.86 23.86 23.75 23.99 23.46 22.67 22.67 22.74 23.05 22.55 21.92 21.81 21.73 21.29 20.42 20.00 20.07 19.69 18.87 18.63 18.80 18.49 17.92 17.41 16.64 16.41 16.21 16.30 16.30 16.44 16.76 16.67 16.67 16.67 16.08 15.42 14.84 14.25 13.67 13.76 13.87 13.44 12.49 11.61 11.93 10.54 9.32 10.02 10.14 9.59 8.76 8.33 8.33 8.37 8.50 8.50 8.19 7.66 7.45 7.66 8.44 8.98 8.98 8.70 8.70 8.44 7.66 7.45 7.45 6.87 6.87 6.87 7.10 8.01 8.37 8.01 7.19 7.10 7.68 7.66 7.45 7.45 8.33 8.33 8.33 9.43 10.02 11.21 11.84 11.80 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23.86 27.80 30.64 34.53 38.21 40.85 45.34 49.85 54.09 58.62 62.66 66.71 69.96 72.08 75.02 76.65 77.15 78.46 78.46 76.83 75.20 75.20 73.27 69.43 65.93 63.54 60.08 55.64 53.85 52.08 49.39 46.96 44.60 43.59 42.06 40.59 40.35 40.18 40.11 40.07 40.11 40.14 40.18 39.76 39.92 40.59 40.80 40.46 40.02 40.16 40.47 41.20 40.99 40.28 40.83 41.25 41.47 41.70 41.65 41.40 40.87 40.59 40.32 40.59 41.64 41.64 40.59 40.59 41.11 40.59 40.07 40.07 39.80 39.53 39.27 39.00 39.02 38.21 37.42 37.17 37.17 37.45 37.45 36.63 35.60 35.24 34.69 34.69 35.04 35.04 35.40 36.02 35.60 34.79 35.17 36.18 37.24 38.32 38.30 39.55 40.93 41.00 42.34 42.43 42.06 41.61 40.91 39.76 38.73 37.45 34.79 32.36 29.94 27.34 24.22 20.63 17.72 15.60 13.60 11.62 10.03 8.76 8.98 9.01 8.86 9.72 11.38 11.86 11.62 13.08 13.81 15.00 15.47 16.75 17.58 18.41 20.52 20.62 21.58 23.37 24.68 25.99 26.98 29.11 30.73 31.23 32.24 33.55 33.55 33.26 34.28 33.21 32.94 33.21 31.19 30.01 29.81 28.17 25.77 24.27 23.58 22.46 18.98 +3.17 6.26 4.60 2.43 2.36 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26.15 27.60 29.47 31.50 33.05 34.77 36.58 38.41 39.05 39.05 39.70 39.70 39.05 38.41 37.17 35.95 33.61 31.37 29.36 27.44 25.39 24.27 23.86 23.39 23.33 23.39 23.22 23.05 23.47 23.46 23.21 23.53 23.31 22.55 22.36 22.36 22.36 21.80 20.88 20.58 20.72 21.16 20.45 20.34 20.25 19.59 20.07 20.07 20.07 20.63 20.62 20.03 20.62 21.21 20.63 20.63 20.63 20.07 19.53 19.59 19.67 18.61 18.03 17.58 16.77 16.41 16.41 15.56 14.78 14.24 13.45 12.92 12.39 11.86 11.93 11.93 11.74 12.02 12.02 12.02 12.43 11.80 11.21 11.79 11.21 10.67 10.67 10.17 9.72 8.98 8.50 8.01 7.55 8.44 8.76 8.92 9.43 10.02 11.80 12.43 11.92 11.92 12.43 13.02 13.02 12.37 11.84 11.33 11.44 12.15 12.15 12.13 12.26 13.08 13.91 14.64 15.47 16.26 17.09 18.33 19.59 20.00 20.00 20.42 21.29 22.12 22.92 23.33 23.33 23.33 23.33 23.33 23.33 23.39 23.10 22.28 21.58 20.76 20.62 20.29 18.73 17.73 16.59 14.58 12.72 10.87 9.01 7.17 5.03 3.73 1.67 2.50 4.29 7.86 11.01 13.60 16.21 18.83 22.21 26.39 29.80 33.75 37.70 40.59 45.07 49.29 53.80 58.32 62.56 67.10 70.34 71.96 74.89 77.01 77.33 78.46 78.14 77.01 75.70 74.89 72.36 69.37 66.17 63.51 60.09 55.40 53.62 51.45 49.39 47.60 45.32 43.91 42.43 40.93 40.18 40.11 40.07 40.11 40.14 40.18 40.28 39.92 40.11 40.69 40.33 40.59 40.73 40.47 40.81 41.55 41.94 41.80 41.80 41.47 41.70 41.94 41.40 41.40 41.90 42.16 41.64 40.59 40.59 41.64 41.64 40.59 40.59 41.11 40.59 39.80 39.53 39.80 39.80 39.27 39.02 38.48 37.70 37.17 37.17 37.45 37.45 36.92 36.22 35.79 35.67 36.00 35.60 34.85 34.49 35.16 36.06 36.06 36.42 36.77 37.24 38.91 39.48 40.73 42.10 41.59 42.34 43.11 43.34 42.18 41.03 40.59 39.44 37.45 35.48 33.75 30.62 27.42 24.92 21.83 18.30 16.08 14.01 11.86 10.31 8.76 8.44 8.01 8.27 9.59 10.07 10.31 10.96 12.15 12.92 13.76 14.64 16.38 17.33 18.30 20.11 20.62 21.42 22.74 24.56 25.87 26.68 28.80 30.62 31.14 31.94 33.26 33.77 32.97 33.21 33.47 32.68 32.19 30.76 29.81 29.63 27.87 25.58 24.19 23.58 22.67 20.32 +3.00 5.56 3.33 1.77 2.43 3.17 4.75 5.43 6.51 7.66 10.03 11.80 12.37 13.55 15.33 15.92 16.51 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14.92 14.78 15.33 15.33 16.01 17.34 18.15 18.63 20.14 21.90 23.99 26.39 28.80 31.23 33.67 35.79 37.75 40.21 42.49 44.13 46.25 48.87 50.50 51.48 52.79 54.10 53.65 +40.59 42.17 42.49 42.00 41.67 41.85 42.20 41.85 41.03 40.07 39.25 38.91 38.43 37.61 36.65 35.36 34.32 33.36 32.06 30.90 30.08 28.93 27.80 27.49 27.19 26.10 25.03 24.53 23.86 22.75 22.44 23.35 23.75 23.64 24.16 24.17 24.17 24.78 24.19 24.22 24.19 23.57 22.42 21.34 20.25 18.73 18.08 17.40 16.75 16.67 16.75 17.40 17.95 18.63 19.44 20.34 21.42 22.09 22.58 21.93 22.46 23.10 22.67 23.25 23.93 24.04 23.46 22.77 22.31 23.01 24.04 23.58 23.15 23.58 24.04 24.04 24.04 24.04 25.00 25.00 24.51 24.42 23.83 23.93 23.46 22.77 21.61 20.01 19.44 18.63 17.95 17.40 17.00 16.75 16.26 15.92 16.18 16.60 17.41 17.95 17.95 18.63 19.19 19.38 19.76 19.94 20.69 21.67 22.44 22.44 22.40 23.46 24.25 24.78 25.31 26.09 26.93 26.93 27.59 28.51 29.07 29.87 30.74 31.10 31.50 32.02 31.96 31.91 32.46 31.87 31.25 30.65 29.49 28.34 27.16 26.03 24.42 22.77 21.29 20.88 19.59 17.92 17.13 16.08 15.37 15.37 15.37 14.73 14.26 14.87 15.37 15.37 15.06 14.78 14.91 14.91 15.87 17.45 18.03 18.50 19.59 20.76 21.87 22.42 22.99 23.57 24.76 26.54 27.13 27.72 28.93 28.93 28.93 29.56 29.52 29.49 28.88 28.28 27.70 27.72 27.80 26.25 24.62 23.58 22.75 22.00 20.82 19.30 18.04 17.50 17.58 17.69 18.63 19.30 19.59 21.83 23.93 25.44 27.77 29.66 30.87 32.15 33.21 34.00 33.48 32.45 31.94 30.33 29.53 27.67 24.30 22.00 18.87 15.95 15.37 15.15 14.49 14.73 15.42 16.75 18.15 18.98 20.28 22.06 23.22 23.57 23.93 25.06 26.25 26.67 27.09 27.94 28.38 28.83 29.21 29.21 29.61 30.05 30.05 30.01 30.05 30.10 30.18 30.29 30.41 30.56 30.73 31.43 31.94 31.94 31.94 31.94 31.94 31.23 30.92 30.92 30.56 30.08 29.59 29.36 28.90 27.99 27.09 26.68 26.33 25.58 25.50 25.87 26.35 26.93 27.04 27.04 27.74 28.67 29.67 30.73 30.69 30.08 30.64 31.84 31.84 31.84 31.24 30.64 31.24 30.64 29.49 29.49 28.38 27.27 26.62 25.51 24.42 23.25 22.67 22.19 21.73 21.29 20.88 20.32 19.59 18.63 17.73 16.97 16.41 16.41 16.09 15.29 14.25 13.74 13.74 13.44 13.44 13.44 12.92 12.61 12.75 12.26 12.13 12.92 13.45 14.49 15.02 15.02 15.56 15.81 16.09 16.34 16.68 17.18 17.18 16.85 17.21 18.04 18.41 18.35 18.79 19.62 20.02 20.07 20.16 20.28 20.43 20.62 20.43 20.62 21.08 20.56 19.76 19.51 19.27 18.49 17.41 16.41 15.47 14.35 13.04 11.74 11.01 9.15 6.72 5.34 2.95 1.32 0.83 3.17 5.03 6.72 9.59 11.92 13.67 17.13 19.53 21.29 24.16 26.52 28.90 31.32 33.13 35.67 38.27 40.22 41.74 42.59 44.76 46.96 48.64 50.56 51.32 53.18 55.48 56.72 58.52 59.56 59.82 60.61 60.88 60.62 60.10 60.62 59.03 57.72 56.92 54.81 52.70 49.55 47.21 45.65 43.33 41.04 38.77 37.09 36.02 35.16 33.75 32.36 31.68 31.00 30.33 29.67 29.67 29.67 30.26 31.50 30.92 31.00 32.36 32.47 33.44 35.05 36.71 38.63 39.85 42.43 45.59 47.45 51.24 54.59 55.90 58.57 60.11 60.37 61.87 62.20 62.15 61.29 60.01 58.34 56.69 55.03 51.73 48.51 45.28 41.97 40.31 37.01 33.71 32.06 29.11 27.34 25.22 23.57 22.75 21.10 19.45 18.63 18.15 16.85 16.51 16.18 15.37 15.06 14.49 14.01 13.60 14.01 13.76 14.25 15.37 15.92 16.67 18.03 19.44 21.06 23.31 25.61 28.48 30.57 32.17 34.80 37.50 39.62 41.74 43.86 45.17 46.29 48.10 49.92 51.03 50.34 +42.33 43.97 44.13 43.50 43.31 43.64 43.84 43.37 42.54 42.07 41.60 40.42 39.13 38.30 37.37 36.44 35.36 34.06 33.13 32.41 31.58 30.76 30.08 28.93 27.80 27.49 27.19 26.10 25.31 24.84 24.78 25.44 25.31 25.09 25.45 25.37 25.93 26.52 25.37 25.34 24.76 23.57 22.42 21.34 20.34 19.44 18.63 17.40 17.21 17.50 17.21 17.40 17.95 18.63 19.44 20.45 21.61 22.19 23.17 23.17 23.25 23.93 23.93 23.35 23.46 24.04 24.04 24.16 23.88 23.88 24.87 25.01 24.61 25.01 25.44 25.44 25.44 25.31 25.67 25.67 25.19 25.67 25.09 24.04 23.93 23.35 22.88 21.87 20.88 19.94 18.73 18.20 17.49 16.75 17.09 17.58 17.81 18.20 18.19 18.49 19.27 20.14 21.06 21.45 22.00 22.55 22.76 22.76 22.98 23.75 24.25 24.78 25.31 26.09 27.16 27.94 28.48 28.48 29.11 29.81 29.81 30.60 31.45 31.90 32.26 32.09 32.02 32.54 32.49 31.32 30.69 30.08 28.90 27.16 25.99 24.81 23.17 21.61 20.01 18.87 16.97 15.81 15.29 14.25 13.74 13.74 13.24 12.61 12.61 12.43 12.13 12.13 12.65 14.01 14.91 14.91 15.72 16.67 16.67 17.18 18.28 19.45 20.03 20.63 21.83 22.42 23.69 25.00 25.58 26.75 27.34 27.34 27.34 28.00 28.58 27.85 26.62 26.03 25.99 26.54 25.93 23.69 22.67 21.61 20.01 19.02 17.95 17.18 16.75 16.26 15.56 15.81 17.16 18.42 18.86 20.83 23.58 25.17 27.59 30.10 31.36 32.69 33.26 33.55 33.55 32.74 31.94 30.62 29.31 26.62 23.99 21.45 18.15 15.37 13.60 13.44 13.45 13.81 15.02 16.51 17.00 17.49 19.00 20.83 22.24 23.22 23.57 23.93 25.06 26.25 26.67 27.09 27.94 28.38 28.38 28.38 28.35 28.78 29.61 29.59 29.21 29.27 29.36 29.46 29.59 30.24 30.73 30.62 30.33 30.33 30.33 30.33 29.82 29.61 30.12 29.11 28.11 27.95 27.47 26.87 26.33 25.45 25.00 24.62 23.93 23.22 22.74 22.67 23.21 23.86 24.61 25.31 25.58 26.03 27.13 28.28 28.88 28.90 28.93 30.14 30.73 30.73 30.10 29.52 29.56 28.93 27.72 27.13 25.93 25.34 25.34 24.22 23.69 23.10 21.93 20.92 21.03 20.45 19.44 19.44 19.44 18.46 17.33 16.59 15.47 14.91 14.78 15.02 14.49 13.74 13.74 13.44 13.44 13.44 13.33 13.44 13.08 12.61 12.94 13.46 13.71 14.24 14.24 14.24 15.10 15.02 14.78 15.10 15.29 15.57 15.57 15.69 16.51 16.85 16.75 16.69 17.09 17.92 17.96 17.58 18.04 18.63 18.80 19.00 18.80 19.00 19.51 19.51 19.51 19.51 19.59 18.83 17.95 18.08 17.33 16.21 15.47 14.17 12.72 11.44 9.72 8.44 7.17 4.86 3.00 1.32 1.86 3.73 6.01 8.86 10.67 13.57 15.92 18.27 21.25 23.60 26.62 29.09 31.00 33.63 36.18 38.87 41.04 41.77 43.80 46.58 49.04 50.77 50.77 52.54 55.11 56.67 58.24 59.56 60.35 60.88 61.15 61.15 60.35 60.35 59.56 57.98 57.19 55.61 53.01 50.45 48.37 46.07 44.35 42.11 39.90 37.73 36.18 36.06 34.68 33.26 33.19 32.54 31.87 31.84 31.84 31.84 31.87 32.54 32.49 33.08 34.42 34.59 35.37 36.75 39.02 40.81 41.94 43.88 46.67 49.02 52.26 56.09 57.53 59.82 61.31 62.00 63.88 63.68 63.15 62.25 61.76 59.62 57.10 55.42 52.50 49.59 45.43 41.70 40.03 36.70 33.37 31.71 28.38 26.72 25.06 22.95 22.09 20.83 19.17 17.92 17.52 17.09 16.26 15.86 15.42 15.00 14.17 13.76 13.44 13.24 12.65 12.92 14.55 15.15 15.37 16.50 17.72 19.59 21.61 23.15 25.58 27.59 30.10 33.05 35.06 36.89 39.27 41.11 42.70 44.82 46.42 47.45 48.53 48.32 +43.62 44.47 44.13 44.32 44.95 44.46 43.84 43.26 42.43 42.07 41.50 40.68 40.31 39.85 38.93 38.03 36.82 35.61 35.16 34.33 32.67 31.94 31.58 30.29 29.26 28.61 27.80 27.49 27.42 26.88 26.70 27.04 26.87 26.73 26.93 27.34 27.80 27.16 26.03 25.99 25.37 24.78 23.69 22.67 21.73 20.88 20.14 19.00 18.50 18.33 18.50 19.00 19.51 20.14 20.88 21.45 22.44 22.77 23.25 23.93 24.04 24.04 24.51 24.04 23.58 24.04 24.16 24.45 24.61 24.61 25.17 25.74 25.17 25.17 26.31 26.87 26.87 27.16 27.04 27.04 26.35 25.67 25.67 24.62 24.51 24.04 23.58 23.15 22.36 21.80 20.04 19.00 18.80 18.41 18.35 18.41 18.63 19.00 19.24 20.35 21.12 21.67 22.36 22.55 23.31 23.86 23.53 23.53 24.07 24.84 25.31 26.09 27.16 27.94 28.48 28.48 29.02 29.80 30.64 31.31 31.31 32.06 32.87 33.30 33.17 32.94 33.33 33.26 32.02 30.78 30.73 30.14 28.38 26.62 25.45 23.69 21.93 20.34 18.87 17.16 15.66 15.02 14.25 13.74 13.24 12.43 11.93 11.79 11.79 11.44 10.82 10.54 11.38 12.87 13.44 13.44 14.34 15.37 15.37 15.92 17.10 18.35 18.35 19.00 20.92 21.42 22.67 24.04 24.73 25.44 26.01 26.46 26.35 27.04 27.74 26.35 25.58 26.09 26.03 25.45 23.64 21.21 20.07 19.59 18.73 17.16 15.66 15.29 15.09 14.64 13.74 13.24 14.34 16.50 18.42 19.88 22.75 25.17 27.16 30.05 31.14 32.74 33.86 33.35 33.05 33.05 32.04 30.73 29.11 25.87 23.19 20.35 17.01 14.78 13.02 11.74 11.62 12.50 14.39 15.87 17.18 19.00 20.56 21.08 21.35 22.24 23.22 23.57 23.93 25.06 26.25 26.67 26.68 26.72 27.11 27.94 27.94 27.51 27.92 28.33 28.38 28.44 28.53 28.64 28.77 29.11 29.11 29.31 29.53 29.02 28.73 28.73 27.99 27.70 27.70 27.30 27.30 27.13 26.05 24.76 24.22 23.75 22.92 22.18 21.92 21.74 21.35 21.08 21.45 21.45 21.73 23.10 23.58 23.57 24.78 26.03 26.62 27.85 27.92 28.00 28.67 28.58 28.50 28.58 28.00 27.34 26.68 26.03 24.78 24.17 24.17 22.99 22.42 22.42 21.87 20.25 19.59 19.00 18.03 18.03 18.03 17.45 16.44 16.59 16.77 16.41 15.56 14.78 14.24 13.74 13.74 13.08 12.61 12.98 13.33 12.98 12.61 13.08 13.74 13.71 13.46 13.46 13.46 14.01 14.35 13.46 14.01 14.91 14.24 14.49 15.29 15.37 15.37 14.73 14.26 14.64 15.00 15.00 15.47 15.92 15.92 16.51 17.49 18.49 18.49 17.92 18.19 18.98 19.27 18.49 18.83 19.38 18.49 18.63 18.46 17.33 16.59 15.87 15.15 14.01 12.87 11.58 10.17 7.86 6.01 4.71 1.77 0.83 3.00 5.92 8.33 11.21 13.55 15.92 18.89 21.34 23.93 26.35 29.47 32.02 34.59 37.88 40.47 41.94 43.05 45.52 48.37 50.23 50.99 53.01 54.82 56.40 57.98 58.77 60.35 60.88 61.40 61.40 60.61 60.88 59.29 58.24 57.71 55.36 52.54 50.77 49.24 46.22 44.54 42.74 41.16 39.06 37.01 37.01 35.67 33.67 34.22 34.20 33.00 33.00 33.00 33.00 33.59 34.20 33.59 34.20 36.12 36.18 36.84 38.37 40.02 42.17 43.80 45.66 48.37 51.40 54.04 57.01 58.92 61.46 62.76 62.95 65.29 65.17 64.24 63.68 63.15 60.59 58.04 56.33 52.56 50.06 46.30 41.70 40.03 36.70 33.37 31.71 28.38 26.33 24.76 22.75 21.92 21.10 19.12 17.99 18.30 17.81 16.18 15.87 16.37 15.87 14.55 14.87 14.73 13.81 13.33 13.44 14.87 15.06 14.24 14.91 16.30 18.42 20.04 21.29 23.69 25.09 27.30 30.44 32.24 34.14 36.55 38.30 40.62 42.72 43.48 44.54 45.33 43.84 +44.82 44.79 44.62 45.28 45.28 44.32 43.84 43.62 43.62 43.26 42.25 41.87 41.50 40.59 39.69 38.81 37.97 37.20 36.37 35.48 34.65 33.50 32.30 31.84 31.58 30.41 28.77 27.80 27.19 27.14 27.70 27.59 27.04 26.87 27.74 28.67 28.00 27.27 27.27 27.34 26.75 26.09 25.00 24.04 23.15 21.80 20.35 19.00 18.50 18.33 18.50 19.30 20.29 20.90 21.80 22.18 22.44 23.46 24.04 24.04 24.04 24.04 24.62 24.73 24.16 24.16 24.45 24.61 24.61 24.61 24.78 25.91 26.31 25.34 25.91 26.87 26.87 27.74 27.74 27.74 28.09 27.04 27.04 26.35 25.19 24.73 24.16 23.15 22.36 22.36 21.12 19.81 19.94 20.07 19.59 19.24 19.45 19.81 20.56 21.67 21.67 21.67 22.92 23.67 23.86 23.86 24.62 26.15 26.93 26.93 27.16 27.94 28.48 29.02 29.80 30.05 30.87 31.65 32.19 32.83 32.83 33.54 34.32 34.16 33.44 33.17 33.42 32.75 31.58 30.92 30.20 28.38 26.62 25.45 23.69 21.93 20.76 19.08 17.01 15.47 14.35 12.92 12.13 12.13 11.93 11.44 10.62 10.14 10.14 10.14 10.31 10.54 11.18 11.44 11.33 11.92 13.02 14.14 14.14 15.33 17.13 17.77 17.83 18.50 20.58 21.16 21.73 23.15 23.88 24.61 25.34 25.91 25.58 26.15 26.87 25.44 25.31 25.77 25.00 23.75 21.93 20.07 18.86 18.87 17.34 15.47 14.91 13.71 12.15 11.79 12.39 13.04 14.25 15.95 18.03 19.44 22.36 25.61 27.67 30.33 31.43 32.54 33.86 33.55 33.05 33.67 32.36 30.42 29.02 26.35 23.21 20.14 16.44 13.60 12.43 11.38 11.79 12.98 13.74 14.49 16.64 18.73 20.04 20.82 21.08 21.35 22.24 23.22 23.57 23.93 24.62 25.00 25.01 25.45 26.25 26.68 26.72 26.68 26.67 26.67 26.72 27.24 27.70 27.34 27.13 27.49 27.49 27.70 27.94 27.70 27.42 27.14 27.19 27.19 26.39 25.67 25.17 24.19 23.47 23.01 22.12 21.67 21.29 20.62 20.28 20.62 20.82 19.81 19.59 19.76 19.59 21.22 22.98 23.58 24.27 25.00 25.00 26.35 27.16 26.73 26.87 26.01 26.46 27.74 27.16 25.89 25.09 25.00 23.69 23.10 22.58 20.66 20.63 20.63 20.04 19.48 18.89 18.35 17.25 16.67 16.67 16.67 15.72 15.47 16.21 16.41 15.87 15.10 14.24 13.74 13.74 13.24 12.61 12.92 13.33 12.92 12.61 13.24 13.74 13.45 12.92 12.69 12.69 13.04 13.04 13.24 13.79 13.60 13.24 13.46 12.92 12.13 12.13 12.26 13.08 13.44 13.33 13.33 13.76 14.64 15.09 15.21 15.37 15.87 16.88 17.66 17.92 18.72 19.59 18.83 18.49 19.38 18.83 18.63 18.87 17.89 17.89 17.73 17.16 16.59 15.30 13.87 12.60 10.87 8.92 7.10 5.43 3.73 1.32 1.86 4.17 7.10 10.67 13.02 16.08 19.18 22.19 24.62 27.87 30.60 32.62 35.96 38.57 41.38 43.11 44.65 47.28 49.36 50.92 53.26 54.82 56.40 57.98 58.77 60.08 60.61 61.40 61.40 60.88 60.88 58.78 58.52 58.28 55.48 53.18 51.11 49.39 46.96 44.60 43.02 41.61 39.43 38.01 37.94 37.20 35.36 34.77 34.77 34.20 34.20 34.20 34.18 34.18 34.77 34.77 34.79 36.65 37.24 38.01 39.64 40.46 42.59 44.93 46.77 49.24 53.31 56.14 58.24 60.67 63.16 64.58 64.72 66.52 66.38 65.76 65.17 63.88 61.76 59.18 57.42 53.19 50.25 46.93 41.97 40.31 37.01 33.71 31.72 28.93 26.48 24.56 23.47 22.67 21.61 19.81 19.27 19.27 18.83 18.08 16.97 16.97 17.52 16.41 16.09 16.09 15.81 15.37 14.73 15.09 15.86 15.47 15.37 17.13 18.83 19.44 20.25 22.46 24.16 26.58 29.09 30.62 32.30 34.32 36.35 38.01 38.97 40.16 41.70 41.94 40.21 +45.19 45.92 45.92 45.28 44.80 44.67 44.19 43.62 43.62 43.62 43.46 42.63 40.97 40.14 39.64 38.77 38.37 37.97 36.70 35.44 35.04 34.65 33.88 33.05 31.84 30.65 29.82 29.26 29.11 29.02 28.73 28.24 28.14 28.33 28.58 28.78 27.62 27.42 27.85 27.34 26.84 26.25 25.09 24.04 23.15 21.45 20.04 19.00 18.50 18.33 18.50 18.80 19.51 20.14 20.50 21.29 21.73 22.31 23.46 24.04 24.04 24.04 24.04 24.04 24.16 24.45 24.61 24.78 25.34 25.34 24.97 25.34 26.31 26.09 26.09 26.87 26.87 27.74 27.74 27.74 28.67 27.62 27.04 27.51 26.35 24.62 24.04 23.15 22.36 22.36 21.67 20.62 20.28 20.07 20.00 20.07 20.28 20.62 21.61 22.44 22.44 22.98 24.22 24.78 25.17 25.93 27.04 27.80 28.24 28.48 29.02 29.80 30.05 30.33 30.87 31.36 32.19 32.73 32.97 33.05 33.38 34.29 34.49 33.75 33.02 33.30 33.63 32.36 31.10 30.42 29.17 27.34 26.09 24.92 22.67 21.42 20.25 18.03 15.87 14.91 14.01 12.65 11.62 10.82 10.31 10.14 9.66 9.32 9.32 9.32 10.02 10.54 10.62 10.29 10.67 11.21 11.79 13.02 13.60 14.84 15.60 16.30 17.45 18.03 20.16 20.88 20.88 22.36 23.67 24.78 25.34 25.53 24.97 25.53 26.09 25.17 25.01 24.45 23.15 22.31 21.42 20.07 18.86 18.27 16.01 14.73 14.35 12.65 11.70 11.79 12.39 13.04 14.78 16.59 18.03 19.59 22.00 25.85 28.46 30.33 31.94 32.74 33.55 33.86 33.67 33.99 32.36 29.61 28.22 26.35 23.21 20.14 16.44 12.98 12.02 11.86 12.09 13.08 14.25 15.56 16.77 17.33 18.63 20.14 20.82 21.61 22.67 23.37 23.57 23.57 23.39 23.33 23.75 24.59 25.00 25.01 25.45 26.25 26.67 26.67 26.28 25.58 25.22 25.69 26.80 27.49 27.49 27.19 26.62 26.10 26.10 26.35 26.10 25.87 25.37 24.36 23.37 22.40 21.81 21.29 20.42 19.59 18.87 18.63 18.30 17.92 18.28 18.46 18.61 18.94 18.87 19.45 20.70 22.00 23.35 24.16 23.72 24.61 25.91 26.31 26.87 25.58 25.17 25.91 26.31 25.44 24.04 24.04 22.77 22.19 22.09 20.11 19.53 19.48 18.86 18.86 18.28 17.72 17.18 16.67 16.67 16.67 15.72 14.73 14.01 13.44 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18.15 18.46 18.08 16.97 16.87 17.99 17.68 17.09 18.87 20.11 19.51 20.69 23.15 24.42 26.03 27.72 28.90 30.26 32.26 34.21 35.16 36.18 38.21 39.52 40.16 38.73 +43.99 45.60 45.92 45.62 45.62 45.49 44.91 43.99 43.62 43.16 42.18 41.74 41.30 40.52 40.03 39.59 38.77 37.94 37.09 36.25 35.44 34.61 33.81 32.98 32.15 31.84 31.84 31.58 31.05 30.42 29.53 28.73 29.11 29.26 28.90 29.02 28.44 28.31 28.00 27.34 26.84 25.77 24.62 24.04 23.15 21.67 21.08 20.62 19.69 18.75 18.50 18.80 19.76 20.90 21.06 21.45 22.44 22.31 22.31 23.46 24.04 24.04 24.04 24.16 24.45 24.61 24.78 24.97 25.34 25.53 25.53 25.34 25.91 26.09 26.09 26.87 26.87 27.74 27.74 27.74 28.67 28.09 26.93 26.84 26.84 25.89 25.44 24.45 22.92 22.36 21.67 20.62 20.28 20.07 20.00 20.07 20.76 21.93 22.93 23.21 23.75 24.84 25.73 26.09 26.28 27.59 28.35 28.35 28.56 29.02 30.10 30.87 31.36 31.90 32.19 32.43 32.97 33.27 33.50 34.04 34.69 34.49 34.10 33.92 33.36 33.44 33.17 32.02 30.74 29.36 28.09 26.35 25.00 23.75 21.61 20.34 19.08 17.01 15.47 14.35 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20.34 19.88 19.94 20.04 20.03 19.94 20.90 21.67 20.98 22.44 23.99 24.42 25.58 27.62 28.44 29.47 31.25 32.54 33.33 34.79 36.75 36.75 36.71 34.36 +43.62 44.47 44.79 45.28 45.14 44.67 44.45 43.91 43.16 42.25 41.74 41.74 41.27 40.47 40.03 40.00 39.59 38.33 37.09 36.67 36.25 35.42 34.61 33.77 33.37 33.05 32.22 31.47 30.90 30.73 30.42 30.05 30.10 29.11 28.51 29.15 29.15 28.58 28.31 28.09 26.35 25.19 24.73 24.16 22.58 20.90 20.29 19.30 18.41 18.35 18.50 18.80 19.24 20.14 20.88 20.88 21.87 22.88 22.31 22.19 22.77 23.46 24.04 23.72 23.88 23.88 23.67 24.22 24.78 24.97 25.34 25.53 26.09 26.09 26.09 26.87 26.73 27.04 27.04 27.04 28.09 28.67 28.09 27.42 26.84 25.89 25.44 24.87 23.31 22.55 22.44 21.12 20.28 20.07 20.42 21.35 22.06 22.44 22.93 23.75 24.84 25.39 26.28 27.39 28.14 28.70 28.35 28.90 29.66 30.64 31.41 31.41 32.19 33.21 33.75 34.28 34.53 34.28 34.59 35.36 35.67 34.91 34.49 34.66 34.29 33.92 32.87 31.01 29.73 29.02 27.74 26.01 24.73 22.77 20.45 19.30 18.03 15.87 14.35 13.24 11.86 10.82 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23.01 22.75 22.98 22.67 23.05 23.93 24.17 24.76 24.68 25.58 26.39 28.14 29.15 29.17 30.20 31.25 32.43 33.72 33.84 32.94 33.30 30.85 +42.43 44.16 43.97 43.31 43.50 43.37 42.79 43.08 43.08 42.63 42.57 41.70 40.84 40.87 40.01 38.75 38.33 38.34 37.94 37.09 36.67 36.67 35.83 34.17 33.37 32.98 32.15 31.84 31.58 31.05 30.73 30.62 30.05 29.02 28.90 29.30 28.58 27.44 27.74 27.62 26.01 25.89 24.87 23.15 21.45 20.14 19.51 18.30 17.13 17.09 18.04 18.49 18.19 18.63 19.59 20.16 20.58 21.61 22.19 22.19 22.19 22.31 23.46 23.15 23.31 23.88 22.92 22.92 23.67 24.22 24.78 24.97 25.34 25.34 25.17 25.44 25.89 26.46 27.04 26.93 26.84 27.34 27.34 27.34 26.84 25.77 24.62 24.16 24.04 23.53 23.21 22.15 20.76 20.07 20.45 21.45 22.06 22.44 23.46 24.84 25.39 25.93 26.84 27.21 27.77 28.51 29.45 30.76 31.52 32.28 32.19 32.19 33.05 33.50 34.28 35.36 35.32 35.32 35.90 35.90 35.90 35.90 35.67 35.04 33.73 32.98 32.06 30.20 29.30 28.58 27.44 26.31 24.61 22.75 20.88 19.59 18.46 16.41 14.24 12.92 12.13 11.44 10.49 10.14 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11.79 11.70 11.67 11.67 11.70 11.44 10.82 10.54 10.54 10.83 11.18 11.01 10.44 10.44 10.29 9.72 9.72 9.72 9.32 9.32 9.32 9.22 9.50 9.22 8.99 9.59 10.00 10.00 10.00 10.42 11.32 11.79 11.93 12.94 14.49 15.02 15.81 17.41 17.95 17.95 18.49 19.59 20.35 20.90 21.06 20.88 20.88 20.88 20.72 21.03 21.03 19.88 18.50 17.18 14.84 13.02 11.80 9.01 6.72 4.49 2.43 3.33 6.87 10.02 13.45 17.69 21.12 24.27 26.62 30.85 34.28 36.40 39.62 41.74 43.56 46.19 48.31 49.92 52.85 53.87 55.18 56.80 57.30 58.32 58.55 59.07 59.07 57.99 56.66 56.14 55.40 54.17 52.63 50.14 46.96 45.33 44.30 42.06 39.92 39.11 38.41 37.75 36.54 36.55 36.55 35.43 35.43 35.43 35.43 35.43 36.02 37.17 37.72 37.71 38.91 40.14 41.40 42.76 44.27 46.47 48.74 51.25 53.67 56.14 58.88 62.23 65.62 67.73 68.80 69.88 70.17 70.97 70.46 69.14 67.83 65.71 63.82 61.15 57.98 53.26 48.82 46.73 43.45 39.51 36.59 35.02 34.10 32.02 30.10 29.49 28.29 28.34 28.38 27.34 27.34 27.34 27.34 27.34 27.34 27.34 27.34 27.27 27.16 26.54 25.93 26.03 25.67 25.44 25.91 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9.59 8.84 8.50 8.70 8.98 9.32 9.72 10.17 11.21 12.39 13.02 13.67 14.34 15.60 16.87 17.73 18.63 19.38 20.14 20.90 22.98 24.84 24.07 24.30 26.39 26.15 25.39 25.39 25.17 24.78 24.61 23.15 22.44 21.73 19.00 17.72 17.10 15.37 13.87 12.69 12.43 12.53 12.26 12.39 13.87 15.33 16.54 19.76 22.44 24.61 27.59 29.33 32.15 34.00 34.28 34.87 34.87 34.57 34.06 32.74 30.05 28.73 26.39 22.00 19.02 16.18 11.92 10.54 10.49 11.44 12.69 14.45 16.08 16.67 17.25 18.42 19.08 19.76 20.45 19.76 18.73 18.72 19.00 18.98 19.69 20.07 20.00 20.00 20.00 20.00 20.00 20.00 20.00 20.45 21.45 21.92 21.58 21.12 20.83 20.83 21.08 20.82 20.04 19.51 19.24 18.72 18.45 18.20 17.49 16.85 16.30 15.42 14.64 14.06 13.45 13.46 13.60 13.29 13.67 14.14 14.84 15.60 15.30 16.41 17.95 18.19 19.52 20.62 21.42 21.93 22.95 22.95 22.74 23.55 23.75 22.95 22.44 22.15 21.61 21.90 21.12 19.81 18.83 18.63 17.89 17.16 16.44 15.72 15.60 14.84 14.25 14.25 12.96 12.39 13.55 13.02 12.60 13.29 13.44 12.87 11.93 11.93 11.38 10.82 11.44 11.44 10.49 10.00 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30.52 30.52 30.42 31.00 30.26 29.52 29.49 28.88 27.13 26.03 25.00 23.72 23.11 21.90 21.12 21.10 20.83 21.45 22.24 22.68 22.92 24.62 26.68 28.29 30.73 32.67 35.48 37.02 38.45 39.34 39.51 39.69 38.57 38.21 35.60 33.54 32.06 29.15 25.09 21.87 19.48 16.21 13.74 12.50 12.94 13.60 14.84 15.95 17.10 17.69 17.10 17.10 17.69 17.10 15.95 14.84 13.87 12.69 12.13 12.13 12.26 12.53 12.09 11.70 11.70 11.67 11.67 11.67 11.70 12.26 13.24 13.45 12.92 13.04 13.04 12.69 13.04 13.04 12.69 12.15 11.07 10.54 10.54 10.14 10.00 9.59 8.99 9.15 9.45 9.43 10.67 11.44 11.58 13.04 14.01 14.49 15.87 17.00 17.00 18.15 18.87 20.07 21.35 20.98 21.35 21.73 22.18 22.64 22.18 22.18 21.45 20.62 21.35 19.69 18.98 18.63 17.49 17.18 16.68 15.37 13.74 13.74 12.65 12.15 12.69 11.93 10.44 9.72 10.29 10.17 8.92 8.27 8.84 9.43 8.33 7.45 7.86 8.01 7.91 7.66 6.87 7.10 7.68 7.10 6.87 6.72 6.87 6.87 6.87 7.45 7.45 7.45 7.29 7.10 7.10 7.29 7.29 7.10 7.10 7.29 7.29 6.59 6.01 6.01 6.15 6.90 7.45 7.66 8.19 8.50 8.50 8.99 9.66 10.00 10.42 11.67 12.92 13.76 14.26 14.39 15.37 16.68 17.40 17.95 17.95 18.83 20.32 21.45 22.44 23.35 23.83 24.27 24.19 23.58 23.57 22.98 21.22 20.04 18.30 16.08 13.44 11.07 9.66 8.99 10.09 13.29 16.41 18.98 22.24 25.69 28.53 31.01 33.88 37.54 39.59 41.67 43.33 45.42 47.10 48.36 50.46 51.33 51.77 52.22 53.11 53.19 51.63 50.91 51.03 50.35 48.05 46.10 45.28 41.74 40.07 38.48 35.90 34.36 31.87 30.76 30.44 29.47 28.67 28.67 27.92 28.44 28.38 28.38 29.61 30.14 30.78 31.50 32.75 34.00 35.37 36.75 38.16 40.31 43.24 44.72 46.77 50.14 52.97 56.80 59.89 62.76 65.15 67.55 69.40 70.49 72.34 72.44 72.35 71.75 70.81 69.71 67.60 65.19 62.30 59.42 57.35 54.81 52.53 51.60 50.67 49.47 49.05 48.83 48.08 47.38 47.05 47.28 47.74 47.45 46.67 46.73 46.73 46.51 46.42 46.22 46.03 45.49 45.02 44.74 44.85 45.03 44.29 44.20 44.85 45.68 46.12 46.16 45.49 44.91 45.42 44.28 43.75 43.27 41.54 40.21 38.66 36.82 34.21 31.25 28.75 25.45 23.01 11.62 +27.49 30.01 30.10 30.05 29.53 29.61 30.24 30.76 31.47 31.32 30.88 31.27 31.67 31.67 31.71 31.77 31.71 31.77 31.84 31.84 31.84 31.39 30.56 30.18 30.18 29.66 28.78 27.94 27.09 26.67 26.28 25.50 24.40 23.37 22.74 21.87 20.56 19.51 18.63 17.33 16.21 14.91 13.44 12.15 10.62 9.52 8.19 7.10 6.67 6.87 7.29 7.68 8.84 10.03 10.67 11.33 12.02 11.26 12.43 13.67 13.60 14.15 14.14 13.57 13.02 13.57 13.60 14.25 14.78 14.19 14.25 14.84 15.92 16.51 16.54 17.09 17.72 17.72 18.94 20.76 20.70 20.66 21.25 21.25 21.22 20.63 20.11 19.76 19.44 19.19 18.73 18.49 19.24 20.07 20.28 20.62 21.90 23.86 25.34 26.15 26.73 27.87 29.47 30.62 31.32 32.47 33.17 33.30 33.75 33.88 34.32 35.22 35.78 35.60 36.35 36.55 36.22 36.55 36.44 36.10 35.85 35.32 34.80 34.80 34.28 33.26 32.54 31.55 29.92 28.93 28.29 27.34 26.52 25.22 24.22 24.22 23.78 22.92 22.12 21.29 20.42 20.07 19.80 18.79 18.41 18.41 17.92 17.09 16.67 17.09 17.58 17.33 17.00 17.40 17.95 17.95 18.63 19.44 19.44 20.34 21.34 22.42 23.57 23.57 24.78 26.03 26.62 28.44 29.67 29.67 31.00 32.26 32.09 32.02 32.02 32.02 31.96 31.25 30.64 30.06 28.38 27.34 26.35 25.58 25.17 24.51 24.05 23.57 23.33 23.47 23.86 24.78 25.53 26.15 28.00 30.08 31.84 33.77 36.52 37.91 39.31 40.73 40.88 41.20 40.07 39.51 37.48 34.89 32.87 30.05 26.75 23.01 19.53 16.59 14.77 14.17 14.06 14.55 15.60 15.95 16.50 17.10 17.69 17.68 17.69 16.50 15.37 14.25 12.60 11.74 11.86 11.62 11.12 11.32 11.67 11.26 10.42 10.00 10.00 10.42 11.32 11.93 12.13 12.13 11.86 11.74 12.15 11.93 11.74 11.58 11.18 10.83 10.54 10.54 10.02 8.84 8.33 8.01 7.66 8.33 9.43 9.43 10.67 12.02 12.15 13.24 14.24 15.29 16.68 17.00 17.00 18.63 19.80 20.16 20.62 21.45 21.81 21.81 22.18 22.18 22.64 21.81 20.98 21.35 21.35 19.33 18.50 18.15 17.00 17.00 16.68 15.57 14.25 13.45 12.39 11.61 12.15 11.93 10.44 9.72 9.72 9.72 9.01 7.68 7.68 8.27 7.68 6.59 6.51 6.01 5.80 6.90 6.87 6.26 6.07 5.89 6.07 6.37 6.37 6.07 6.59 7.45 7.45 7.45 7.45 7.29 7.10 7.10 7.29 7.29 7.10 7.10 7.29 7.45 7.45 7.45 7.45 7.45 7.45 7.45 7.66 8.19 8.99 9.50 9.32 9.59 10.49 11.32 11.67 11.67 12.15 13.44 14.73 15.37 16.08 17.41 17.95 18.49 19.94 20.88 21.73 22.67 23.10 23.58 23.57 23.57 23.57 23.57 22.40 21.22 19.48 17.25 15.15 12.92 11.44 10.49 11.01 13.60 16.59 18.49 21.35 25.17 28.77 31.24 33.71 36.54 38.48 41.30 43.37 45.03 46.70 47.93 49.59 50.42 51.27 51.29 52.16 52.22 50.62 50.25 49.88 48.79 47.27 45.62 44.13 41.04 38.30 36.64 35.32 33.50 30.76 29.81 28.90 27.87 27.74 27.62 26.84 26.84 26.75 27.34 28.00 27.92 29.84 30.52 31.10 33.17 34.16 34.89 36.75 39.51 42.30 44.16 46.22 49.24 52.31 55.94 59.11 62.29 64.38 66.23 68.40 70.26 71.57 70.91 70.83 70.81 70.83 69.46 67.62 65.99 63.00 60.88 58.95 56.62 54.60 53.67 52.81 51.32 50.69 50.50 50.56 50.45 50.38 50.87 50.87 50.09 49.55 49.84 49.60 49.13 49.24 49.04 48.45 47.92 47.60 47.17 47.18 47.38 46.64 46.57 47.76 48.61 49.02 49.47 48.74 48.27 48.48 47.28 46.39 45.34 44.07 42.85 40.86 38.91 35.83 32.41 30.18 26.33 23.39 11.79 +26.39 29.07 28.35 28.24 27.94 28.22 28.30 27.95 28.29 28.83 29.21 29.21 29.59 30.00 30.05 30.49 30.88 30.56 30.18 30.18 30.18 30.18 30.18 30.18 30.18 29.73 28.83 27.99 27.11 26.25 25.00 23.78 23.01 22.40 21.74 20.62 19.00 17.92 17.18 15.66 14.35 13.24 12.49 11.18 8.98 7.66 6.87 6.67 6.26 5.80 6.51 7.07 7.68 9.01 9.72 10.29 11.44 10.75 10.75 12.50 13.02 13.02 12.98 12.96 12.37 12.37 12.39 12.39 13.55 13.60 13.67 14.15 14.73 15.33 15.91 16.54 17.13 17.72 18.35 19.59 20.17 19.53 20.11 20.66 20.62 20.63 19.53 18.50 18.15 18.08 18.19 18.30 18.35 18.41 19.12 20.83 22.98 24.22 24.61 26.01 27.74 29.02 30.05 31.10 31.78 32.36 32.94 33.75 34.45 34.45 34.59 34.32 34.32 34.49 35.22 35.60 35.45 35.24 34.69 34.28 35.06 35.32 34.80 34.28 33.26 32.74 32.54 31.72 30.90 30.08 28.99 28.07 27.24 26.33 25.45 24.62 23.75 22.95 22.56 22.56 21.73 20.90 21.45 21.35 20.52 20.07 19.62 18.79 18.33 18.79 19.24 18.87 18.63 19.00 19.51 19.51 20.14 20.88 20.88 21.73 22.67 23.69 24.78 24.78 25.93 27.13 28.34 30.14 30.73 31.32 33.13 34.36 33.72 33.08 33.67 34.22 34.20 33.00 32.43 32.49 31.00 30.05 29.15 28.33 27.80 27.42 26.80 26.05 25.83 25.58 25.50 26.35 27.59 28.17 29.36 31.91 33.59 35.43 38.01 39.43 40.33 41.16 41.87 42.59 42.02 40.88 39.02 36.44 33.75 31.10 27.92 24.17 20.76 17.73 15.57 15.00 15.21 16.09 16.59 16.18 17.10 18.27 18.27 17.09 17.10 16.50 14.78 13.67 12.72 12.30 12.15 11.44 10.62 10.14 10.00 10.00 10.00 10.00 10.00 10.49 10.96 10.62 10.54 10.54 10.54 11.18 11.44 10.44 10.44 10.29 9.72 9.88 9.75 9.22 8.70 7.93 7.10 6.87 7.45 8.33 9.43 9.45 10.29 11.18 12.15 13.45 13.74 15.37 17.00 17.00 17.00 18.63 20.28 20.28 20.62 21.81 21.81 21.81 22.64 22.18 22.18 21.81 21.35 21.35 20.62 19.80 18.50 17.33 17.00 17.00 15.87 15.57 14.77 12.92 12.92 11.86 11.07 11.38 10.62 9.32 9.15 9.72 9.01 7.68 7.68 7.68 7.07 6.51 6.59 6.72 5.80 5.80 6.07 5.56 5.56 6.26 6.37 6.07 5.89 6.07 6.90 6.90 6.15 6.01 6.59 7.29 7.29 7.10 6.51 6.59 7.17 7.10 6.51 6.59 7.29 7.45 7.45 7.45 7.45 7.45 7.45 7.66 8.44 8.70 8.99 9.66 10.14 10.14 10.42 11.26 12.09 12.92 13.44 14.06 15.37 17.13 17.95 17.95 18.63 19.44 20.45 22.00 23.05 24.19 24.76 24.16 23.57 23.57 22.98 21.80 20.07 18.42 16.30 14.01 12.43 11.70 12.15 14.15 16.76 18.46 21.67 25.03 28.80 31.05 33.36 36.18 37.83 40.68 43.08 45.12 46.79 47.17 48.36 49.59 50.42 50.43 51.69 51.69 49.63 49.67 48.89 47.31 46.93 44.91 42.20 40.70 37.43 34.67 34.06 31.89 29.02 28.56 27.59 26.09 25.91 25.58 25.44 25.31 25.09 26.35 27.04 26.35 28.31 29.59 29.73 31.89 33.75 34.32 35.78 38.77 40.83 42.69 45.52 48.59 51.45 54.63 57.80 61.21 63.60 65.23 67.08 69.49 70.69 70.44 70.62 70.10 70.18 68.90 67.73 66.67 63.86 61.90 60.72 58.63 56.67 55.82 55.31 54.42 53.67 52.97 52.54 53.01 52.97 52.70 52.97 52.97 52.44 52.19 52.47 52.54 52.08 51.45 50.87 50.51 50.03 49.47 49.60 50.43 50.21 48.92 49.55 51.02 51.34 51.77 51.74 51.08 51.06 50.56 49.60 47.96 45.86 44.82 43.27 41.23 37.60 33.99 31.72 27.47 23.70 12.15 +24.51 26.87 26.65 27.04 26.88 27.14 26.68 26.80 27.13 27.24 27.99 28.38 28.35 28.33 28.78 29.61 30.05 30.18 30.18 30.18 30.18 30.18 29.82 28.99 28.53 28.53 28.07 27.24 26.33 25.06 23.78 22.92 22.12 21.45 20.28 18.63 17.49 16.88 15.81 14.24 12.69 11.38 10.62 9.52 8.19 7.38 6.37 5.43 4.75 4.75 5.30 6.51 7.29 8.01 9.15 9.72 10.29 10.87 10.29 10.29 11.44 12.02 11.26 11.80 12.39 11.79 11.79 11.79 12.37 12.39 12.39 13.55 14.14 14.14 15.37 15.95 16.51 17.72 18.35 19.00 19.59 19.53 19.53 19.48 19.45 20.04 19.53 18.50 17.73 17.73 17.92 18.15 18.35 18.41 19.30 21.36 23.31 24.22 25.17 27.16 28.78 29.47 30.62 31.68 31.68 32.26 33.42 34.10 34.32 34.45 34.45 34.16 34.32 34.89 35.05 34.66 35.04 35.45 34.91 34.59 34.82 34.00 33.21 32.97 32.74 32.24 31.23 30.41 29.94 29.11 28.53 28.44 27.99 27.11 26.25 25.42 24.59 24.22 24.22 23.84 23.10 22.56 23.01 23.10 22.28 21.73 21.73 21.73 21.67 21.29 20.90 21.35 21.92 21.74 21.35 21.61 22.44 22.55 22.92 24.45 25.44 26.35 27.34 27.34 28.38 29.49 30.64 31.84 31.84 33.05 34.85 35.43 34.81 34.79 35.96 36.54 35.95 34.81 34.85 34.36 32.94 32.73 32.06 31.31 30.10 28.22 27.62 27.70 27.50 27.70 27.62 27.94 29.11 30.20 31.45 33.84 35.96 37.14 39.05 41.00 42.43 42.64 42.76 43.46 43.46 42.89 41.03 38.37 35.75 33.26 30.14 25.93 22.67 20.50 18.49 17.09 16.85 16.60 16.21 17.01 18.42 18.87 17.69 17.10 17.68 16.51 14.84 14.34 13.44 12.49 11.38 10.14 10.14 10.14 10.00 10.00 10.00 10.00 10.00 9.66 9.32 9.81 10.02 9.75 10.29 10.62 10.29 10.29 10.44 9.88 9.72 9.72 8.98 8.19 7.91 7.93 8.01 7.38 7.45 8.33 9.45 9.59 10.44 11.38 12.65 13.74 13.74 15.37 17.00 17.00 17.33 18.50 19.80 20.62 21.35 21.35 21.81 22.18 22.18 22.64 21.81 21.81 21.81 20.62 20.28 20.28 18.63 17.00 17.00 17.00 15.37 15.06 14.49 12.92 13.18 12.39 11.07 10.29 10.62 9.88 8.58 9.15 9.01 7.68 7.68 7.68 7.10 7.17 6.59 6.15 6.35 5.80 5.27 5.56 6.26 6.67 6.26 5.56 5.56 6.07 6.15 5.59 5.59 6.01 6.51 6.51 6.01 6.51 6.51 6.51 7.10 7.17 6.59 6.51 7.10 7.29 7.45 7.45 7.45 7.45 7.45 7.45 7.45 7.66 8.44 8.99 9.81 10.62 11.32 12.15 12.92 13.33 13.44 13.91 14.73 16.08 17.41 17.95 18.63 19.44 20.01 22.00 23.05 23.64 25.34 24.76 23.57 23.58 22.99 22.39 20.66 19.00 17.45 14.91 12.94 12.53 12.65 14.25 16.59 18.73 22.36 24.84 28.46 31.14 33.05 36.12 38.09 40.07 42.43 44.82 46.40 46.79 47.17 48.79 50.03 50.03 51.27 51.25 48.75 48.77 48.36 46.70 46.30 43.46 40.68 39.95 37.13 33.84 32.36 30.62 27.94 26.88 26.39 25.39 24.42 24.04 24.61 23.88 23.15 24.45 25.58 25.44 26.73 28.73 29.63 30.37 32.24 33.54 35.04 37.86 39.73 41.80 44.88 47.74 50.14 53.08 57.02 60.43 62.05 64.46 66.31 67.73 68.77 69.32 70.10 69.46 69.61 68.41 67.34 66.37 64.30 62.47 61.46 60.08 58.71 57.46 56.67 56.84 56.69 56.03 55.36 55.61 55.08 54.29 54.81 55.34 55.08 54.29 53.79 53.62 53.18 53.31 53.48 52.94 52.31 51.77 51.34 51.60 52.56 52.46 52.50 53.36 53.67 54.08 54.59 53.91 53.48 52.97 52.31 50.92 48.24 46.38 44.82 42.98 39.55 36.40 33.26 29.02 24.78 12.72 +22.93 26.01 25.74 25.34 25.39 25.56 25.07 25.37 25.99 26.52 27.24 27.55 27.51 27.92 28.35 28.35 28.38 28.90 29.73 30.18 29.82 28.99 28.64 28.29 27.34 26.87 26.52 25.69 24.76 23.93 23.39 22.92 21.67 20.07 18.87 18.04 17.33 16.18 14.55 13.45 12.13 10.54 9.52 8.44 7.19 6.37 5.43 4.75 4.29 4.71 4.71 6.01 7.45 7.45 8.01 9.15 9.72 10.29 10.87 10.17 10.75 11.92 11.21 11.21 11.80 11.79 11.79 11.79 11.79 11.79 11.79 12.39 13.02 13.02 14.25 14.78 15.37 16.67 17.25 18.42 19.00 19.00 18.94 18.87 18.86 18.87 18.94 18.61 18.08 17.95 17.40 17.21 18.33 19.69 20.62 21.67 22.92 24.04 25.58 27.62 28.67 28.67 29.75 30.92 31.58 32.75 33.33 33.33 33.42 33.63 33.75 33.88 34.16 35.30 35.05 34.10 34.49 34.49 34.36 34.36 33.50 32.15 31.62 31.89 31.94 31.23 30.73 30.41 29.82 28.99 28.53 28.44 27.94 27.09 26.67 26.67 26.28 25.89 25.89 25.58 25.22 24.67 23.84 23.57 23.93 24.22 24.22 24.22 23.75 23.35 23.39 23.47 23.57 23.70 24.05 24.51 24.78 25.07 25.73 26.47 26.87 27.74 28.67 29.26 30.33 31.37 33.05 34.20 34.20 35.36 36.55 36.55 36.54 37.12 37.71 37.71 37.14 36.65 36.70 35.67 34.79 34.59 33.54 32.83 31.90 30.92 30.56 29.73 29.17 29.73 30.24 30.05 30.64 31.68 32.87 35.17 37.79 39.48 40.73 42.04 44.00 44.76 44.27 44.49 44.04 43.46 42.06 39.33 37.42 34.95 31.84 28.34 24.62 22.00 20.32 18.41 17.21 17.18 17.95 18.46 18.61 18.94 17.77 17.72 17.69 15.95 14.84 13.76 12.72 11.93 11.07 10.62 10.96 10.49 10.00 10.00 10.00 10.00 10.00 9.59 9.32 9.50 8.99 9.52 10.62 10.29 10.44 10.87 10.44 10.07 9.88 9.15 8.21 8.19 8.19 7.55 7.68 7.66 7.29 7.66 9.01 9.72 10.44 11.93 13.46 14.24 14.49 15.87 17.00 17.00 18.15 18.50 18.98 21.45 21.81 20.98 21.81 22.64 21.81 22.28 21.92 21.92 21.92 20.28 20.28 20.28 18.63 17.00 17.00 17.00 15.37 14.25 13.97 13.45 12.65 12.15 11.93 10.44 10.44 10.44 9.01 8.92 9.45 8.84 8.27 7.66 7.17 7.10 6.51 5.59 5.80 6.35 6.07 5.89 5.43 5.00 5.43 5.89 5.56 5.27 5.59 6.15 6.90 7.45 7.29 6.59 6.01 6.51 7.10 7.17 7.10 6.51 6.59 7.17 7.10 7.10 7.29 7.45 7.45 7.45 8.01 8.76 8.98 8.98 8.98 9.22 10.02 10.82 10.96 10.96 11.32 11.67 12.15 12.98 13.44 14.25 15.81 17.41 18.63 19.44 19.44 21.34 22.42 22.42 24.78 24.78 23.57 24.19 23.01 21.80 21.25 19.59 18.03 16.77 15.06 13.33 12.94 15.02 17.09 19.67 22.58 24.97 28.78 31.36 33.21 35.89 38.10 39.55 41.85 44.19 45.74 46.93 46.93 48.14 49.72 50.11 50.50 50.03 48.34 48.34 47.92 46.25 45.03 42.57 40.08 38.48 36.54 33.71 31.24 29.26 26.98 25.58 25.03 24.78 23.21 22.21 23.31 23.11 22.36 22.92 24.04 24.61 25.34 27.39 29.26 29.81 31.31 32.83 34.36 36.44 38.30 40.93 44.34 46.97 48.82 51.45 55.40 59.11 60.51 63.46 65.66 66.35 67.08 67.84 68.64 68.03 68.07 67.52 66.51 65.58 64.23 62.53 61.04 60.35 60.21 59.18 57.95 58.00 58.43 58.57 57.71 57.19 57.45 57.19 56.40 56.13 56.40 56.14 55.64 55.48 55.04 54.62 54.42 53.91 54.02 54.08 53.67 53.36 53.70 54.21 54.88 55.70 56.00 56.40 57.02 56.50 55.90 55.18 54.49 53.08 50.92 48.77 46.64 44.27 40.85 38.21 34.53 30.64 27.04 15.33 +21.90 25.77 25.01 24.61 24.22 23.75 23.99 24.27 24.56 25.01 25.22 25.50 26.28 27.11 27.92 27.94 27.55 27.99 28.44 28.53 28.64 28.29 27.81 27.95 27.47 26.87 26.65 25.83 24.87 24.04 23.01 22.12 21.29 20.00 18.79 17.96 16.75 15.09 13.91 13.24 12.26 11.44 10.31 8.50 7.10 6.26 5.43 5.27 5.59 5.92 5.30 6.01 7.45 7.45 7.45 8.01 9.15 9.72 10.29 10.09 10.67 11.26 11.21 11.21 11.20 11.79 11.79 11.80 12.39 12.39 12.39 12.98 13.02 13.02 13.60 14.15 15.37 16.67 16.67 17.25 18.42 18.94 18.87 18.86 18.86 18.30 18.42 18.15 17.73 17.95 17.69 17.96 18.79 19.80 20.62 21.67 23.31 24.45 26.01 28.09 28.67 29.26 30.92 32.09 32.75 33.33 33.33 33.33 33.33 33.42 33.63 33.75 33.88 34.45 33.59 33.36 34.32 33.54 32.83 32.83 32.19 31.62 31.62 31.62 31.14 30.73 30.24 29.59 29.82 30.18 29.73 28.83 28.35 28.33 27.92 27.09 26.72 26.72 26.72 26.87 26.87 26.41 25.58 25.58 26.33 26.33 25.89 25.89 25.45 25.45 25.89 25.50 25.22 25.83 26.98 27.19 27.14 27.94 28.24 28.14 28.33 29.15 30.05 31.10 32.26 33.33 34.89 35.43 36.02 37.75 38.91 38.91 38.91 38.91 38.91 38.91 38.93 38.46 38.01 37.59 36.75 35.30 34.10 33.59 32.68 32.24 32.20 31.77 31.25 30.93 31.87 32.97 33.75 34.49 34.89 36.52 39.05 41.26 43.03 43.70 45.03 46.42 45.92 46.01 46.12 44.96 43.01 40.42 38.52 36.61 33.59 30.20 27.16 23.86 21.35 19.80 18.79 18.80 18.98 18.83 18.87 19.08 18.50 18.42 17.77 16.67 15.60 14.01 13.44 12.69 12.13 11.93 11.32 10.87 11.26 11.67 11.26 10.42 10.00 10.42 10.96 10.62 10.14 10.83 11.18 10.54 10.62 10.29 9.72 9.32 9.32 9.32 8.44 7.91 7.68 7.10 6.87 7.45 7.75 8.27 8.92 10.17 11.01 11.93 13.46 14.24 15.29 16.37 17.18 17.49 18.63 18.63 18.63 21.92 21.92 21.10 21.92 22.75 21.92 21.92 21.92 21.92 21.92 20.28 20.28 19.94 18.80 17.49 17.00 16.68 15.57 14.25 13.45 13.71 12.69 11.93 11.93 10.44 10.44 10.29 9.50 8.92 8.33 8.27 8.84 8.27 7.10 7.10 7.29 6.90 5.80 5.80 6.07 5.56 5.07 5.00 5.07 5.56 5.89 6.07 6.35 6.15 6.01 6.01 6.01 6.01 6.59 7.17 7.10 6.51 6.51 6.51 6.51 7.10 7.17 7.10 7.10 7.29 7.45 7.45 8.44 9.15 8.98 8.98 8.98 8.98 8.98 8.98 8.99 9.81 10.62 11.26 12.09 12.92 13.44 13.74 14.25 15.56 17.33 18.87 19.30 20.70 21.81 21.80 23.64 24.19 23.58 24.22 23.60 21.80 20.63 19.53 18.03 16.77 15.29 14.19 14.55 15.87 17.72 20.11 22.31 25.34 28.56 30.58 33.21 35.08 37.29 39.23 41.18 43.50 45.49 47.14 47.14 47.50 48.59 49.72 50.11 48.84 47.96 47.93 47.09 45.42 43.77 42.53 40.03 37.54 35.48 33.05 31.01 28.17 25.83 24.68 23.55 23.75 22.67 21.08 21.36 22.00 22.36 22.36 22.92 24.22 25.17 25.93 27.80 29.11 30.42 32.28 34.36 35.90 37.22 39.85 43.26 45.65 48.05 50.68 53.85 57.57 58.98 61.73 64.29 65.60 66.37 67.19 68.03 67.49 66.94 67.09 66.80 65.43 64.25 63.23 61.25 60.09 60.60 60.22 58.90 58.43 58.88 59.06 59.03 58.77 58.51 58.24 57.72 57.72 57.71 57.21 56.72 56.57 56.14 55.53 55.37 55.04 55.03 55.03 54.75 55.06 55.42 55.40 56.09 57.52 57.93 57.78 59.03 58.93 58.14 57.40 56.69 55.26 52.85 51.22 49.06 45.89 42.72 39.55 35.13 31.31 28.33 17.72 +21.12 24.34 24.04 23.88 22.92 22.55 23.21 23.99 24.27 23.86 24.04 25.22 25.89 25.89 26.68 27.55 27.55 27.55 27.24 26.87 27.34 28.29 28.29 27.62 27.13 26.52 26.31 26.31 25.83 25.01 23.57 22.18 21.35 20.07 18.33 17.09 16.26 15.42 14.64 13.44 12.15 11.32 10.03 8.33 7.10 6.67 6.37 5.80 5.59 6.51 6.48 6.51 7.75 8.33 8.33 8.33 8.92 10.17 10.17 9.45 10.67 10.67 10.62 11.20 11.21 11.79 11.80 11.84 12.39 12.39 12.39 13.55 14.14 14.14 14.14 14.14 15.37 16.59 17.13 17.72 18.30 18.87 18.86 18.86 18.87 18.42 18.61 18.46 17.95 18.19 18.30 18.35 18.41 19.12 20.83 22.98 24.61 25.58 27.16 28.67 28.67 29.75 31.43 32.02 32.02 32.60 33.26 33.33 33.33 33.33 33.42 33.63 33.75 33.17 32.16 32.30 32.87 32.06 31.31 31.31 31.19 31.36 31.62 31.10 30.33 29.92 29.26 28.77 28.64 28.53 28.44 28.38 28.35 28.33 28.35 28.35 28.38 27.99 27.55 28.07 28.53 28.53 28.53 28.44 27.99 27.61 27.55 27.55 27.94 27.94 27.55 27.99 28.53 28.29 27.80 27.99 28.73 28.73 29.02 30.42 31.31 32.06 32.87 33.75 34.79 35.37 36.25 36.70 37.83 39.55 40.14 40.14 40.73 41.35 41.40 41.40 41.40 40.35 39.33 39.43 38.16 36.91 36.71 35.90 34.53 33.55 33.50 33.43 33.34 33.05 33.02 34.06 35.32 36.55 37.31 37.68 39.05 41.26 43.62 44.85 46.10 48.02 48.09 47.58 47.67 47.00 45.03 43.16 40.73 38.31 35.96 32.02 28.31 25.53 23.47 22.75 21.67 20.28 19.52 19.81 19.94 20.01 19.88 19.30 18.61 17.45 16.44 15.66 15.10 14.24 13.74 13.08 12.09 11.70 11.70 11.67 11.70 11.70 11.67 11.70 11.32 10.96 11.44 11.86 11.38 10.54 10.29 10.44 10.44 9.52 9.32 9.32 8.70 8.19 7.19 6.67 6.87 7.45 8.33 9.43 9.45 10.29 11.18 11.93 13.46 14.49 15.57 16.08 17.40 18.49 18.80 18.80 19.12 21.58 22.06 21.25 22.06 22.88 22.06 22.06 22.06 22.06 21.74 20.62 20.62 19.81 19.00 18.20 17.40 16.60 15.81 15.02 13.46 13.24 13.04 12.49 11.93 10.29 10.75 10.67 10.09 9.59 8.33 7.66 8.27 8.84 7.68 7.29 7.45 7.45 6.90 6.07 6.07 6.07 6.26 6.67 6.26 5.56 5.56 6.07 5.80 5.59 6.01 6.01 6.01 6.01 6.51 6.51 6.51 6.51 6.51 7.10 7.17 7.10 7.10 7.17 7.10 7.10 7.29 7.45 7.75 7.68 7.29 7.45 7.45 8.01 8.76 8.98 9.22 10.02 10.82 11.32 11.67 11.67 12.15 13.24 13.74 14.24 15.47 17.01 18.50 20.11 21.81 22.40 23.01 23.58 24.19 24.22 23.58 22.98 21.22 19.53 18.03 16.77 15.81 15.02 14.87 15.47 17.72 20.07 22.67 25.58 28.14 30.10 32.94 34.80 36.69 39.41 41.04 42.98 45.28 46.79 47.14 47.14 47.50 49.05 49.79 48.06 47.17 47.13 46.70 45.03 43.37 42.10 39.59 37.50 34.59 31.71 30.56 27.70 25.22 24.40 22.40 22.24 22.15 21.08 20.04 20.35 21.67 21.67 21.67 22.98 24.84 25.39 26.70 28.56 29.87 31.19 33.81 35.90 36.44 39.07 42.48 44.10 47.05 50.23 52.85 56.03 57.45 59.46 62.05 64.12 64.91 65.60 66.92 67.04 66.00 65.67 66.09 64.82 63.12 62.80 62.19 61.17 61.04 60.57 59.86 59.65 60.13 60.09 59.82 59.56 59.31 59.56 59.31 59.03 58.78 58.28 57.57 56.90 56.49 56.46 56.50 56.03 55.93 56.00 55.18 55.50 56.57 57.17 57.89 58.84 59.87 59.76 60.31 60.79 60.01 59.26 58.55 56.90 54.49 53.08 50.68 47.28 44.65 41.25 36.35 32.24 28.90 17.72 +19.81 23.69 23.17 22.31 22.18 22.92 23.31 23.46 23.99 23.86 24.19 25.01 25.50 25.89 25.45 25.45 26.28 26.72 26.87 26.87 26.87 27.34 27.95 27.80 26.80 25.83 25.50 25.17 24.36 23.86 23.37 21.92 20.62 19.80 18.41 17.09 16.26 15.42 14.17 12.50 11.26 10.42 9.59 8.84 8.01 7.10 6.87 6.90 6.15 6.51 7.07 7.07 7.66 8.84 9.43 9.43 9.43 10.62 11.21 10.02 10.62 11.20 11.26 11.84 11.80 11.80 11.92 12.43 12.39 12.43 13.02 13.57 14.15 14.78 15.37 15.33 15.92 16.51 17.09 18.27 18.86 18.86 18.86 18.87 19.00 19.30 19.44 18.63 17.95 17.92 18.15 18.35 18.87 20.11 21.61 23.31 24.61 26.01 27.04 28.00 28.58 29.67 30.73 30.73 31.32 32.49 32.54 32.60 33.26 33.33 33.33 32.84 32.36 31.90 31.45 31.45 31.45 30.60 30.37 30.56 30.21 30.10 30.05 29.78 29.53 29.11 28.77 28.77 28.64 28.53 28.44 28.38 28.35 28.33 28.75 29.18 29.21 29.27 29.21 29.66 30.18 30.18 30.18 29.73 29.27 29.66 30.05 30.44 31.25 31.25 30.44 30.10 30.18 30.29 30.56 30.92 31.14 31.37 32.43 33.81 34.36 35.04 35.78 36.02 36.18 36.63 38.27 39.33 40.35 41.40 41.40 41.99 43.16 43.21 43.27 43.93 44.00 43.01 42.06 41.49 39.59 38.95 38.77 37.45 36.40 35.98 35.14 34.26 34.59 35.16 35.14 34.87 35.32 36.55 38.45 40.11 40.93 42.49 44.78 45.98 47.20 49.08 49.72 49.78 49.26 48.02 46.10 44.85 43.03 40.07 37.14 33.84 30.87 28.14 25.58 24.40 24.18 23.39 22.55 22.40 21.90 21.80 20.88 19.59 19.44 18.46 17.33 16.41 15.56 14.49 13.74 13.44 13.33 13.36 12.92 12.09 12.09 12.92 13.33 12.92 12.09 11.79 12.43 12.43 11.86 11.86 12.13 12.15 11.38 10.54 10.29 9.52 8.70 8.50 7.93 7.10 6.87 7.45 8.33 9.43 10.09 11.01 11.18 11.93 13.46 15.02 15.81 15.81 17.40 19.00 19.00 19.30 19.94 20.76 21.74 21.74 22.06 22.55 22.24 22.24 22.24 21.93 21.63 21.12 20.32 20.03 19.24 18.19 17.95 17.41 16.09 15.10 14.35 13.04 12.87 13.44 12.72 10.67 10.67 10.67 10.62 11.20 10.67 9.59 8.92 9.45 9.01 8.01 7.45 7.45 7.45 6.87 6.87 6.87 6.67 6.67 6.67 6.26 6.07 6.07 6.07 6.90 6.90 6.15 6.01 6.59 7.17 6.59 6.51 6.51 6.51 7.07 6.51 6.51 7.07 6.51 6.51 7.07 7.10 7.29 7.29 7.68 7.75 7.45 8.01 9.15 9.32 9.52 10.29 10.54 10.54 10.14 10.42 11.26 11.70 12.26 13.24 14.24 14.91 15.72 17.25 18.94 21.21 22.40 22.99 23.01 23.64 24.22 23.01 22.40 21.83 20.76 18.61 16.77 15.81 14.64 14.39 15.66 17.77 20.07 22.67 24.87 27.39 29.87 32.43 34.53 36.40 39.62 41.23 42.35 44.62 46.10 46.79 47.14 47.14 48.32 49.05 47.76 46.93 46.48 46.40 45.12 43.02 41.30 38.77 37.09 33.75 30.44 30.05 27.55 24.67 23.93 21.92 20.76 20.92 20.32 19.24 19.24 20.56 21.08 21.08 21.61 23.21 24.84 26.15 27.47 29.33 30.64 32.73 35.36 35.90 37.99 41.16 42.79 45.42 48.59 51.54 54.28 56.09 58.32 60.01 62.08 63.46 63.47 64.72 66.08 65.79 64.40 64.27 64.24 63.27 62.50 61.94 61.46 61.35 61.12 61.06 60.67 60.62 60.88 60.35 59.56 59.58 60.35 59.56 58.50 58.52 58.57 58.43 58.00 57.40 56.84 56.90 56.89 56.98 57.75 57.46 57.23 57.75 58.36 59.81 60.17 61.14 62.32 61.60 62.08 61.87 61.12 60.42 58.21 56.03 54.39 51.76 48.37 45.74 42.14 37.65 34.16 30.87 19.59 +18.83 23.64 23.17 22.77 22.58 23.31 23.67 23.21 22.93 22.74 23.55 23.86 23.93 24.67 25.01 25.42 26.25 26.72 27.24 27.70 27.34 26.87 27.13 27.49 26.98 25.99 25.17 24.56 23.75 22.74 22.24 21.74 20.76 20.28 19.80 18.41 16.75 15.09 13.81 12.98 11.70 10.42 9.66 9.32 9.32 8.50 7.38 7.45 7.45 7.86 8.33 8.33 8.33 8.86 9.43 9.43 9.43 10.02 11.20 11.21 11.26 11.92 12.02 12.50 13.02 12.50 12.02 13.08 13.67 13.18 13.76 14.84 14.84 14.84 15.37 15.92 16.51 17.10 17.10 17.69 18.86 18.87 19.48 19.59 19.30 19.44 19.59 19.59 19.51 19.00 18.87 20.00 21.45 22.24 22.93 23.86 24.61 25.89 26.35 27.92 29.09 29.67 30.73 30.73 31.87 32.46 31.91 32.49 32.54 32.02 32.02 31.50 31.00 31.10 31.32 31.45 30.87 29.87 30.03 29.81 29.45 29.11 28.48 28.20 27.94 27.99 27.95 27.95 28.29 28.53 28.44 28.38 28.78 29.59 30.00 29.61 29.21 30.05 30.88 30.49 30.18 30.56 31.39 31.84 32.15 32.54 32.54 32.92 33.33 33.33 33.34 33.43 33.50 33.59 33.84 34.17 34.36 35.08 36.10 36.14 35.90 36.55 37.27 37.65 38.45 39.31 40.22 41.27 42.92 44.00 44.00 45.10 45.68 44.59 45.10 45.75 45.34 44.38 43.46 43.02 41.77 40.99 40.28 39.02 38.01 37.10 35.83 35.54 35.83 35.99 36.45 36.69 36.89 37.86 39.18 41.49 43.50 45.03 47.20 48.32 48.92 50.21 50.26 50.84 51.43 50.21 47.79 45.98 44.79 42.43 39.59 36.52 34.16 31.52 29.02 27.34 26.28 25.42 24.87 24.56 23.99 23.21 22.21 21.45 21.06 20.14 19.27 18.19 17.40 16.68 15.69 15.09 15.00 15.02 15.00 15.02 15.00 15.00 15.00 15.00 15.00 14.64 14.06 13.57 13.74 13.97 13.74 13.45 12.65 12.13 11.62 10.82 9.81 8.84 8.33 8.01 7.38 7.45 8.33 9.43 10.67 12.02 12.02 12.87 14.01 14.78 16.09 16.34 17.40 18.72 19.24 20.32 20.62 20.62 21.12 22.44 22.44 22.44 22.44 22.44 22.44 21.35 22.15 21.93 19.52 19.76 19.51 17.95 17.95 17.73 16.77 15.30 15.15 14.45 13.18 13.76 13.67 11.80 11.21 11.21 10.61 10.62 10.67 10.09 9.50 9.59 9.72 9.32 8.98 8.98 8.98 8.19 7.68 7.68 7.10 6.67 6.67 6.67 6.87 6.87 6.87 6.90 5.80 5.59 6.01 6.51 6.51 6.01 6.51 6.51 6.51 7.07 6.51 6.51 7.07 6.51 6.51 7.07 7.07 7.10 7.29 7.75 7.68 7.29 8.44 9.01 8.01 8.44 9.15 8.98 8.98 8.99 10.14 11.32 11.70 11.79 11.93 12.92 14.35 15.72 16.67 17.72 20.04 21.22 22.42 23.10 22.52 23.10 23.05 21.81 20.63 20.07 18.50 16.77 15.81 15.09 15.21 15.87 17.25 20.07 22.09 23.72 26.84 29.87 32.19 34.53 36.37 39.32 41.23 41.54 43.80 45.28 45.97 47.14 47.14 47.50 48.22 47.76 46.93 46.11 45.65 44.74 42.18 40.47 38.37 36.27 33.34 30.01 29.17 27.11 24.22 23.01 21.45 20.28 20.28 19.12 18.49 19.00 19.52 20.56 21.08 21.08 21.61 23.46 25.56 26.09 27.70 30.33 31.90 33.75 35.36 37.22 39.62 42.02 44.65 47.05 49.79 52.36 54.60 57.02 58.36 60.31 62.32 62.41 62.59 64.10 65.09 64.30 63.64 63.77 63.51 62.77 61.61 61.04 61.13 61.17 61.28 60.67 60.09 60.09 60.35 60.35 59.58 59.56 59.56 58.78 58.28 58.11 58.21 58.35 58.14 57.06 56.60 57.21 57.35 57.59 58.48 58.36 58.34 59.07 60.59 61.51 61.94 63.74 63.62 62.99 62.80 62.63 61.94 59.53 57.67 56.03 52.85 49.46 46.83 42.49 38.21 34.73 31.78 22.19 +20.14 24.22 23.75 23.93 23.15 23.15 23.31 22.98 22.93 22.95 23.75 23.86 24.04 24.76 25.45 26.25 26.67 26.72 26.78 26.87 26.99 26.52 26.31 26.98 27.49 26.98 25.87 24.78 24.27 23.75 22.74 21.93 20.92 19.94 19.12 18.15 17.33 16.51 15.56 14.73 13.57 12.15 11.79 11.44 10.62 10.02 9.22 8.98 8.98 9.32 9.72 9.72 9.72 10.17 10.67 10.67 10.67 10.75 12.02 13.29 13.44 13.29 12.60 12.60 13.76 13.87 13.44 14.01 15.15 15.15 14.58 15.60 16.18 16.18 16.67 17.25 17.83 18.35 18.42 19.00 20.07 19.59 20.25 20.34 19.44 19.59 19.94 20.04 20.56 20.92 20.90 20.85 21.58 22.74 23.72 24.62 25.91 26.73 27.04 29.09 29.67 29.67 30.73 30.73 31.84 31.84 31.87 32.46 31.32 30.73 30.73 30.78 30.33 29.75 29.75 29.94 29.02 28.44 28.44 27.60 27.77 27.59 26.93 26.63 26.35 26.10 25.99 26.80 27.13 26.87 27.24 27.99 28.38 28.78 29.59 30.44 30.88 30.84 31.27 31.77 31.84 32.15 32.98 33.88 34.21 34.21 34.21 33.75 33.75 34.59 35.44 36.37 36.82 36.90 37.13 37.43 37.60 38.01 37.96 37.42 37.99 39.39 40.28 40.63 41.37 42.17 43.02 43.91 44.85 45.34 45.92 47.00 47.00 46.60 47.09 47.00 46.01 45.07 44.74 44.45 43.24 42.49 41.80 40.59 39.62 39.06 38.66 38.03 37.09 36.82 37.27 38.01 38.48 39.73 40.47 41.74 44.27 46.27 47.79 48.91 50.09 51.91 51.94 51.35 51.94 51.91 50.10 47.73 46.55 44.85 42.17 39.18 36.75 34.36 32.45 30.41 28.44 27.50 27.24 26.31 25.87 25.58 25.03 24.25 23.75 23.21 22.15 21.12 20.62 19.80 18.87 18.41 18.33 17.92 17.50 17.92 17.92 17.09 16.67 16.67 16.67 16.26 15.56 15.21 14.87 14.25 13.74 13.74 13.74 13.24 12.26 11.44 10.96 10.87 10.42 9.81 9.22 8.98 9.72 10.62 11.21 12.43 13.08 14.01 14.91 14.91 16.41 17.18 17.95 18.73 19.51 21.08 21.08 21.08 21.08 22.67 22.67 22.40 22.93 22.93 22.93 21.61 22.40 22.68 20.35 19.81 19.81 18.49 17.73 17.33 17.16 15.72 14.92 15.50 14.25 13.60 14.15 13.55 12.39 12.43 12.43 11.26 10.67 10.75 11.01 11.01 10.44 10.29 10.54 10.54 10.54 10.02 8.99 8.50 8.37 8.33 8.33 8.33 8.01 7.19 6.87 7.12 6.87 7.12 7.45 7.29 6.59 6.01 6.51 6.51 6.51 7.07 6.51 6.51 7.07 6.51 6.51 7.07 7.07 7.07 7.10 7.17 7.68 7.75 8.33 8.33 8.01 9.01 8.44 8.01 8.76 9.22 9.50 9.32 10.00 10.96 10.82 11.07 12.49 14.45 16.08 17.72 19.45 20.63 21.87 23.10 23.10 22.52 22.46 21.81 20.62 19.45 17.92 16.77 15.81 15.09 14.73 15.32 17.34 20.04 21.42 23.58 27.77 30.01 31.96 34.53 36.10 38.75 40.93 41.23 43.16 44.62 45.77 46.92 46.79 47.14 47.50 47.39 46.93 46.11 44.82 43.91 41.80 40.14 38.48 35.54 32.98 30.05 27.94 26.25 24.17 22.09 20.45 20.07 19.69 18.15 17.49 18.80 18.80 19.00 20.56 21.08 21.08 22.67 24.51 25.31 26.88 29.26 30.83 32.19 34.59 36.44 38.08 41.25 43.66 45.86 48.08 50.31 53.48 54.98 56.18 58.17 60.09 61.51 61.17 62.15 63.77 63.64 63.12 62.74 62.42 61.72 61.31 61.35 60.93 60.08 59.97 60.13 60.09 60.09 60.08 60.35 59.56 58.77 59.31 59.06 58.57 58.43 58.00 57.95 58.36 57.89 56.89 56.87 57.01 56.76 57.77 58.34 58.44 59.28 60.75 62.41 62.89 64.03 65.25 64.66 63.18 63.59 63.25 60.62 58.98 57.34 53.95 50.77 47.38 42.86 39.34 35.16 31.58 23.01 +20.14 24.22 23.69 23.17 22.31 23.01 23.15 22.55 23.21 23.99 24.27 24.36 25.01 25.22 25.50 26.28 26.67 26.72 26.41 26.05 26.52 26.65 25.99 25.67 25.87 25.87 26.10 25.83 24.78 24.27 23.75 22.67 21.12 20.11 19.00 17.49 17.00 17.00 16.51 15.69 15.37 14.73 13.91 13.24 12.43 12.13 12.13 11.86 11.07 10.83 11.18 11.18 11.18 11.74 12.87 13.44 13.44 13.04 13.24 14.35 14.91 15.30 15.30 14.91 15.47 16.21 16.41 16.21 16.03 16.59 16.59 16.44 17.01 17.73 18.87 19.44 19.88 20.34 19.88 20.34 21.42 21.16 21.73 21.73 20.88 20.69 21.12 21.08 21.12 21.58 21.73 21.68 22.06 22.95 23.72 24.62 26.31 26.87 27.74 29.67 29.67 29.67 30.73 30.73 31.84 31.84 31.25 30.65 29.49 29.49 29.49 29.49 28.38 27.85 28.38 27.85 26.93 27.04 26.46 25.44 25.44 25.17 25.17 25.61 25.56 25.30 25.87 26.48 26.31 26.52 26.87 27.24 27.99 28.83 29.61 30.42 31.27 31.68 32.09 32.98 33.88 34.21 34.21 35.04 35.87 35.87 36.27 36.68 36.68 37.10 37.97 38.48 38.48 39.02 40.07 40.21 40.04 40.42 40.64 41.39 42.43 43.02 43.33 43.66 44.35 45.10 45.89 46.73 47.62 48.07 48.54 49.02 49.02 49.12 49.23 49.12 48.07 47.17 46.73 45.89 44.72 44.00 43.33 41.64 40.42 40.37 40.31 39.64 38.77 38.10 38.09 38.81 39.00 40.28 41.77 42.59 44.38 46.79 48.35 48.92 50.68 53.05 53.65 53.05 53.06 52.47 51.27 49.50 47.79 46.73 44.08 41.16 39.51 37.22 34.80 32.69 31.84 31.25 30.49 29.82 28.93 27.80 27.19 26.39 25.83 25.03 23.55 23.05 23.05 22.18 21.29 20.90 21.25 21.25 20.42 20.00 20.02 19.62 18.75 18.33 18.33 18.33 18.41 18.04 17.21 16.51 15.69 15.37 14.87 13.91 13.44 12.98 12.15 11.70 11.70 11.93 11.86 11.07 11.18 12.43 12.37 12.39 13.67 15.02 15.72 15.72 17.16 17.89 18.63 19.59 19.81 21.12 21.67 21.67 21.67 23.21 23.21 22.44 23.21 23.21 23.21 22.44 22.21 22.55 21.80 20.50 20.50 19.76 18.15 18.03 17.92 17.18 15.95 15.95 15.92 14.73 14.15 14.78 14.34 13.87 14.34 13.87 13.44 13.04 12.49 12.30 11.93 11.07 10.54 10.54 10.54 10.54 10.31 10.14 10.03 9.59 8.76 8.33 8.37 8.37 8.01 7.91 7.68 7.38 7.45 7.45 7.45 7.45 7.29 6.59 6.51 6.48 5.89 6.48 6.48 5.89 6.48 7.07 7.07 7.07 7.07 7.10 7.68 7.68 7.68 7.68 7.75 8.33 7.86 8.44 9.15 8.98 8.70 8.50 8.37 8.84 10.02 10.54 11.18 12.60 14.25 16.50 17.72 18.94 20.76 22.00 22.67 22.00 21.34 20.66 20.63 19.45 17.34 15.87 14.24 13.44 13.44 15.10 17.34 19.45 21.34 24.04 27.77 28.90 31.41 34.00 35.84 38.23 40.13 41.23 42.35 44.29 45.92 46.25 46.10 46.79 47.14 47.14 46.67 45.74 44.45 43.16 41.42 40.14 38.03 35.09 32.60 29.66 27.55 25.45 23.75 21.67 20.00 19.59 18.41 17.33 17.00 18.30 18.80 17.99 19.00 20.56 21.08 22.40 23.46 24.78 27.14 28.46 29.26 30.87 33.50 35.13 36.77 39.94 41.94 44.72 47.14 48.83 52.21 54.17 55.03 56.51 58.03 59.58 59.81 60.80 62.49 62.47 61.97 61.04 61.42 61.36 60.31 60.39 60.57 60.08 59.65 59.59 59.31 59.56 59.29 58.77 59.03 58.50 58.28 57.80 57.57 58.00 57.40 56.67 56.60 56.76 56.40 56.50 56.82 57.23 57.75 58.38 59.75 60.01 61.03 62.76 63.88 64.51 65.60 66.71 64.69 64.01 63.46 61.39 60.51 58.11 54.71 52.08 47.73 43.24 40.31 36.06 32.09 22.31 +20.14 24.81 24.34 23.25 22.77 23.46 23.72 23.67 24.07 24.25 24.27 24.56 24.68 24.40 24.76 25.50 26.25 26.72 26.87 26.87 26.87 27.13 26.98 26.17 25.87 25.58 25.30 25.56 25.03 23.99 23.19 22.93 22.15 21.12 20.56 19.30 18.30 17.49 17.00 16.68 15.87 14.87 14.06 13.74 13.74 13.74 13.74 13.97 13.71 13.18 13.71 14.24 14.24 14.24 14.55 15.10 15.87 15.87 14.78 14.78 15.87 16.97 17.73 17.95 17.95 17.95 17.95 18.28 18.28 18.28 18.63 18.83 19.38 19.19 19.19 20.32 21.45 22.44 21.87 21.87 23.01 22.75 23.31 24.04 23.86 23.21 23.19 23.47 23.05 22.75 22.56 22.95 23.70 24.27 25.03 26.15 27.04 26.87 27.74 29.67 29.67 29.67 30.73 30.73 31.25 30.65 30.06 30.06 29.49 28.90 28.29 28.28 27.13 27.16 27.75 26.62 25.51 25.00 24.51 24.04 24.04 24.16 24.04 23.86 23.75 24.25 25.03 25.37 25.50 25.83 26.52 27.34 28.53 29.27 29.21 30.01 31.67 32.92 33.33 33.77 35.04 36.27 36.70 36.68 37.10 37.94 38.75 39.59 40.01 40.03 40.08 40.59 41.42 41.97 42.20 42.20 42.49 43.35 44.37 45.10 45.07 44.82 44.88 45.74 47.17 48.08 48.83 49.62 50.45 50.88 50.75 51.08 51.08 51.08 51.20 50.75 50.17 49.31 48.32 47.35 46.22 45.52 44.34 42.70 42.04 41.18 40.31 40.03 40.03 39.85 39.39 39.62 40.06 41.04 42.68 43.88 44.96 47.44 50.21 50.76 51.28 53.04 54.21 54.21 54.80 54.21 53.05 51.91 49.72 48.68 46.70 43.88 41.55 39.31 38.23 36.94 35.61 34.61 33.77 33.05 31.94 30.90 30.24 29.42 28.80 27.49 26.31 26.31 25.34 24.22 24.18 23.78 23.35 23.35 23.35 22.92 22.52 22.95 22.95 22.09 21.67 21.67 21.29 20.45 20.07 19.69 18.87 18.15 17.21 16.75 16.30 15.42 14.59 13.33 12.53 12.75 12.92 12.15 11.74 13.02 13.57 13.55 14.19 15.42 16.67 16.67 18.03 18.87 19.02 20.50 20.50 21.06 22.36 22.36 22.36 23.86 23.86 23.31 23.53 23.31 23.86 23.11 22.36 22.36 22.18 21.29 21.29 20.45 19.00 19.00 18.35 17.69 17.68 17.10 17.10 16.54 15.60 16.18 15.72 15.15 15.02 14.73 14.91 14.35 13.79 14.01 14.24 13.71 12.65 12.13 12.13 12.13 11.93 11.79 11.32 10.49 10.03 9.59 8.76 8.84 9.20 8.50 7.68 7.68 7.66 7.45 7.45 7.45 7.45 7.45 7.29 6.59 6.51 6.48 5.89 6.48 7.07 7.07 6.48 6.51 6.51 6.51 7.10 7.07 7.07 7.07 7.07 7.66 7.75 8.33 8.33 7.45 7.66 8.19 8.37 8.76 9.81 10.54 11.18 12.02 13.02 15.33 17.13 18.35 19.67 21.03 21.61 21.42 21.34 20.11 19.53 18.27 16.67 15.72 14.24 13.44 13.44 14.35 16.01 18.28 20.83 23.58 26.65 28.35 31.41 33.21 35.32 38.01 39.11 40.54 41.67 44.13 45.28 45.62 45.62 45.97 47.14 47.14 45.84 44.91 44.45 42.33 40.59 40.14 37.20 34.65 32.54 29.21 27.11 24.59 23.33 21.67 20.00 18.75 17.13 16.75 16.75 17.21 17.81 17.69 18.20 19.52 20.56 21.61 22.93 24.51 26.35 27.70 28.56 30.64 32.73 33.59 36.00 38.41 39.88 42.86 45.66 47.76 49.88 52.60 54.08 55.03 56.67 57.59 57.89 58.97 60.12 60.13 60.88 60.59 59.87 60.33 59.90 59.44 59.46 59.53 59.11 58.81 58.52 58.24 57.99 57.19 57.71 57.74 57.02 56.80 56.57 56.84 56.67 56.03 55.61 55.82 56.00 56.23 56.06 56.57 57.80 57.94 59.35 60.84 61.94 63.03 64.91 65.60 65.41 67.31 66.42 64.78 63.69 62.05 61.21 58.57 55.17 52.08 48.08 43.80 40.31 36.06 32.75 22.77 +21.67 26.03 25.00 24.62 25.31 25.44 25.01 24.22 23.86 23.75 23.99 24.27 24.36 24.87 25.22 25.12 25.01 25.45 26.41 26.87 26.87 27.13 27.49 27.19 26.39 25.83 25.03 24.78 24.78 24.25 23.46 22.93 22.40 21.35 21.08 20.32 19.30 18.80 18.30 17.69 17.18 17.00 17.00 16.68 15.87 15.37 15.37 15.87 16.88 16.88 16.37 16.60 16.60 16.60 16.87 17.13 17.92 18.98 18.98 17.92 17.92 18.98 19.51 19.51 19.51 19.51 19.51 20.04 20.82 21.36 21.67 21.36 21.67 22.00 21.67 22.00 22.36 23.31 24.04 24.42 25.34 24.78 24.42 25.17 25.61 25.56 24.78 24.56 25.01 25.22 25.06 25.06 25.34 25.37 25.56 26.70 27.39 27.60 28.44 29.75 29.67 29.67 30.14 29.52 29.47 28.87 28.88 28.88 28.28 27.70 27.70 27.70 25.93 25.93 25.93 24.78 23.64 23.05 23.10 22.67 22.67 22.67 21.73 21.45 22.36 22.44 22.44 22.93 24.05 25.67 26.65 27.47 28.29 28.44 28.83 30.10 31.71 32.92 33.75 35.00 36.25 37.09 37.94 38.34 38.75 40.00 41.25 41.67 42.10 42.97 43.41 43.53 43.99 44.91 45.49 45.97 47.07 47.91 47.60 47.00 47.45 48.75 49.55 49.60 49.46 50.14 51.62 51.99 52.04 52.31 52.31 53.18 53.18 52.60 52.47 52.16 51.74 50.75 49.95 49.01 47.73 46.51 44.82 43.50 42.85 41.85 40.68 40.03 40.03 40.31 40.37 40.42 41.37 42.57 43.60 45.02 46.23 48.25 50.95 52.56 53.06 53.64 54.81 55.40 55.99 56.03 55.50 54.42 52.33 51.34 49.47 47.19 44.91 42.43 41.44 40.37 39.02 37.97 36.67 35.48 35.16 34.89 33.71 32.54 32.36 31.72 30.76 29.94 28.90 28.38 28.35 27.92 27.09 27.09 27.51 27.11 26.28 25.85 26.28 26.28 25.42 25.00 24.59 23.75 22.95 22.12 21.29 20.52 20.07 19.62 18.75 17.92 17.09 16.30 15.09 14.06 14.24 14.01 13.60 14.34 14.84 15.37 15.91 15.95 16.67 16.67 18.03 19.44 19.44 20.72 21.29 21.45 22.36 22.36 22.36 23.67 24.22 24.22 24.04 23.88 24.61 23.88 23.15 23.15 22.31 22.19 22.19 20.83 19.53 19.48 19.45 18.28 18.30 18.35 18.35 17.92 17.16 17.58 17.16 17.16 17.16 16.41 16.41 16.41 16.09 15.81 15.81 15.81 15.29 14.25 13.74 13.74 13.24 12.61 12.61 12.26 11.70 11.70 11.26 10.49 10.03 9.59 8.84 8.50 8.19 7.66 7.45 6.90 6.15 6.01 6.01 6.01 6.51 6.51 6.51 6.48 6.51 6.51 5.89 6.51 6.51 6.51 7.17 7.10 7.07 7.07 7.66 8.25 7.68 8.27 8.33 7.45 7.45 7.66 8.01 8.33 8.84 9.75 10.44 11.44 13.02 14.73 16.51 18.42 19.30 20.01 20.45 20.34 20.25 20.17 19.53 17.68 16.01 15.15 14.24 13.08 12.61 13.79 15.42 17.72 20.34 23.15 26.09 28.35 30.87 32.15 34.80 38.01 38.30 39.73 41.67 43.64 44.32 45.49 45.49 45.49 47.14 46.67 45.38 44.55 43.62 41.87 40.68 39.85 36.44 33.88 32.15 29.21 26.72 24.22 22.95 21.25 19.59 18.35 17.09 16.26 16.30 16.75 16.03 16.37 18.20 19.00 19.52 20.56 22.40 24.25 25.31 26.15 27.80 30.42 32.07 32.98 35.40 37.65 39.34 41.77 43.88 46.73 48.45 50.05 52.12 53.67 55.26 56.18 56.62 57.76 58.93 58.41 58.63 59.50 58.82 58.74 58.76 58.14 57.59 57.67 57.57 57.50 57.74 57.21 56.96 56.14 55.36 55.48 55.26 55.04 54.42 54.24 54.74 54.90 54.55 54.25 55.12 56.06 55.98 55.99 57.89 58.76 58.51 60.21 61.88 63.05 65.22 65.80 65.66 66.86 66.86 65.77 64.38 62.76 61.45 59.11 56.25 52.08 47.73 43.98 40.31 36.18 32.84 23.46 +21.67 26.03 25.58 25.77 25.89 25.44 25.01 24.22 24.42 24.84 25.03 25.58 26.17 26.65 26.87 26.33 25.42 25.42 26.33 26.87 26.52 26.31 26.68 26.62 25.83 25.56 25.56 25.31 24.78 24.78 24.53 23.46 22.68 21.61 21.08 20.83 20.62 20.43 20.11 19.81 19.94 20.28 20.28 20.43 20.11 19.12 18.63 18.63 19.12 20.11 20.11 19.81 19.81 19.81 20.32 20.62 20.62 21.12 22.15 22.15 21.12 21.12 22.15 22.67 22.67 22.67 22.67 22.67 22.67 23.19 24.25 24.25 23.99 24.53 24.78 25.07 25.39 25.93 26.70 26.93 27.59 27.59 26.93 26.93 26.88 27.42 27.70 27.30 26.99 26.87 26.72 26.72 26.52 26.48 27.14 27.47 27.59 28.33 29.15 29.94 29.75 29.09 28.97 28.93 28.90 28.29 28.29 27.72 26.54 25.95 25.95 25.37 24.17 24.19 23.64 22.42 21.80 21.81 21.22 20.66 21.29 21.34 20.34 20.45 21.16 20.69 21.45 22.21 22.93 24.51 25.67 26.80 27.62 28.53 30.18 31.47 32.22 33.37 35.04 36.27 37.09 37.92 39.17 40.83 42.09 42.93 43.77 44.59 45.03 45.51 46.79 47.68 47.76 48.32 48.79 49.39 50.50 50.67 50.35 51.03 51.97 52.45 52.70 52.97 53.55 53.95 53.87 53.67 54.42 55.20 55.20 55.46 55.31 54.89 54.74 54.17 52.77 52.21 51.43 50.14 49.24 47.74 46.12 44.59 43.66 43.02 42.25 41.27 40.47 40.31 40.86 41.23 42.16 43.33 44.16 45.59 47.04 49.02 51.02 53.19 54.91 55.50 56.09 57.23 57.23 56.72 56.82 56.42 54.93 53.39 51.59 49.95 48.69 46.91 45.17 43.80 42.43 41.35 40.44 39.60 38.86 38.10 37.27 36.54 35.96 35.36 34.79 33.50 32.60 32.54 32.09 31.67 31.67 31.25 30.44 30.44 30.88 30.44 30.01 30.05 29.61 28.75 28.33 27.92 26.67 25.42 24.59 23.78 22.95 21.67 20.42 19.62 18.79 18.41 17.81 16.68 16.60 16.64 16.21 16.30 16.08 16.01 17.10 17.69 17.72 17.72 19.00 20.34 20.34 20.92 22.19 23.01 23.01 23.58 23.72 23.72 24.87 25.44 24.73 24.73 25.44 24.73 24.04 23.93 23.17 23.17 23.10 22.42 21.21 20.66 21.29 20.76 19.67 19.76 20.45 20.16 19.19 19.19 19.38 19.38 19.59 19.51 19.51 19.51 18.98 17.92 17.40 17.40 17.40 16.88 15.87 15.37 15.37 14.73 13.91 13.57 12.98 12.53 12.53 11.67 10.42 10.00 9.59 9.32 9.32 8.50 7.66 6.59 5.80 6.01 6.01 6.01 6.51 6.51 5.92 5.89 6.51 5.92 5.92 6.51 6.51 6.51 6.59 7.29 7.10 7.07 7.68 7.68 7.66 8.25 7.68 7.29 7.45 7.45 6.87 6.67 7.10 8.44 9.72 10.17 11.80 13.57 14.92 17.01 18.87 19.44 19.44 19.44 18.61 19.08 19.00 17.10 15.37 13.87 12.69 11.93 11.79 13.04 14.84 17.72 19.76 22.75 25.73 27.47 30.05 31.62 34.28 37.29 37.60 39.23 41.67 42.82 43.50 45.49 45.49 45.49 46.67 45.74 45.28 44.45 42.79 41.97 41.14 39.02 35.61 33.50 31.84 28.90 26.33 24.22 22.12 20.42 18.75 18.35 17.52 15.47 15.56 16.51 15.37 15.37 17.49 18.49 18.72 19.76 21.61 23.21 24.84 25.39 26.70 29.11 30.56 32.06 34.32 36.59 38.87 41.16 42.89 45.32 47.50 49.02 50.58 52.77 54.42 54.88 55.40 56.57 57.76 57.31 57.01 57.84 57.67 57.02 56.90 56.84 56.49 56.35 56.03 55.40 55.40 55.40 55.40 54.86 53.85 53.73 53.52 52.92 52.38 52.31 52.35 52.70 53.50 52.71 53.11 54.80 55.42 55.50 56.94 59.09 59.51 60.17 61.35 63.36 65.45 65.87 66.54 66.47 66.18 65.89 64.83 62.73 60.91 59.35 56.72 52.54 47.60 43.25 39.51 35.87 32.26 23.01 +23.21 27.34 26.84 26.35 25.89 25.44 25.58 26.09 27.04 26.93 26.35 26.62 26.68 26.31 26.52 26.72 26.67 26.67 26.72 26.87 26.65 25.99 25.87 26.62 27.14 26.88 26.09 25.61 24.78 24.78 24.84 23.75 23.21 22.93 22.67 22.44 22.24 21.74 21.42 21.74 21.92 21.92 21.92 22.40 23.37 23.70 23.57 23.22 22.40 22.40 23.37 23.86 23.86 24.19 24.68 24.68 24.68 24.36 24.36 25.37 25.37 24.68 25.17 25.87 25.87 25.87 25.87 26.17 26.68 26.39 26.39 27.42 27.94 27.94 27.94 28.46 29.52 30.05 30.05 29.80 29.87 30.10 30.05 30.05 29.53 29.61 30.42 30.24 29.11 28.53 28.38 28.38 28.53 28.93 29.02 28.20 28.35 29.07 29.30 29.47 29.26 28.58 28.44 28.93 28.34 27.72 27.70 27.11 25.93 24.78 24.27 23.69 23.05 22.46 21.93 20.76 20.17 20.11 19.45 19.45 19.45 18.86 18.30 18.94 19.59 19.44 20.32 21.62 22.76 23.21 23.72 25.58 27.49 28.77 30.41 32.06 33.13 34.33 35.99 37.14 38.37 40.03 41.70 42.93 43.77 44.63 45.46 46.70 47.96 48.89 49.79 50.62 51.54 52.09 52.09 52.33 52.63 52.63 53.28 54.47 55.18 55.12 54.56 55.08 56.42 56.72 56.57 56.69 57.40 58.14 58.14 57.97 57.63 57.06 56.50 55.77 54.42 53.85 52.92 51.32 50.23 48.77 47.45 46.49 45.60 44.19 43.02 42.09 41.74 41.97 42.49 42.54 42.69 43.33 44.72 46.31 47.17 49.02 51.09 53.36 55.64 56.76 56.76 57.89 58.53 58.05 57.59 57.25 56.87 55.61 54.47 52.92 51.45 50.34 48.61 47.56 46.67 45.57 45.03 44.59 43.37 42.18 41.80 41.42 40.31 39.02 38.48 37.97 36.70 35.87 36.25 36.25 35.42 35.01 35.04 35.01 35.04 34.65 33.77 33.37 33.37 32.94 32.09 31.27 30.44 29.59 28.75 27.50 25.83 24.62 23.39 22.18 21.35 20.52 20.11 19.00 17.92 17.95 18.08 18.15 18.03 18.03 19.00 20.07 20.07 20.04 20.63 21.83 22.42 22.46 23.17 24.42 24.34 25.00 25.67 25.00 25.67 26.35 25.67 25.67 26.35 25.67 25.00 24.27 24.22 24.22 23.58 23.58 23.05 21.93 21.42 22.09 21.73 21.45 22.18 22.36 21.80 20.90 20.90 20.90 20.82 21.08 21.08 21.08 21.08 20.56 19.81 19.81 19.81 19.81 19.30 18.63 18.30 17.00 15.69 15.56 15.92 15.09 13.81 12.98 12.09 11.67 11.26 10.03 9.32 9.20 8.50 7.68 7.68 7.66 6.90 6.15 5.92 5.30 4.71 5.92 6.51 5.30 6.01 6.01 6.01 6.01 6.01 7.45 7.29 7.10 7.10 7.17 7.75 7.68 7.07 7.10 7.29 6.90 6.07 6.26 6.67 7.38 9.01 9.45 10.02 12.43 15.02 16.44 17.73 18.87 19.44 19.44 18.15 17.58 17.45 15.95 14.74 13.08 11.18 10.62 10.96 11.74 13.57 16.67 18.73 21.80 24.53 26.35 29.53 31.14 33.55 36.29 37.43 39.06 41.52 42.34 42.68 45.02 45.38 45.38 45.74 45.28 44.82 43.91 43.08 41.87 40.59 38.48 35.16 33.50 31.39 27.99 25.89 23.78 21.68 20.02 17.92 17.92 17.13 15.09 15.09 15.56 14.87 15.37 16.68 17.40 18.19 19.51 20.82 21.67 24.07 25.17 26.09 28.33 30.03 31.16 32.87 35.16 37.59 39.31 41.49 44.38 46.01 47.67 48.68 50.31 52.56 53.65 54.21 55.40 56.62 56.23 55.92 56.09 55.82 55.17 55.04 54.98 54.42 54.07 53.73 52.85 52.31 52.31 52.31 52.08 51.66 51.45 51.43 50.91 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52.66 50.99 49.26 48.59 48.01 46.67 45.46 44.82 44.19 44.13 44.16 43.78 44.01 44.57 44.88 45.52 46.22 46.77 48.45 49.75 50.50 52.55 54.42 54.98 55.93 58.00 59.74 60.97 62.23 63.51 64.83 65.42 65.79 66.71 67.17 66.86 67.06 67.19 66.63 66.17 66.09 65.58 64.69 63.86 63.42 62.98 62.12 61.72 61.32 60.49 60.09 60.09 59.70 58.87 58.10 56.89 55.68 55.40 55.15 54.33 53.51 52.63 51.16 49.72 48.82 48.25 47.43 45.86 44.28 43.02 41.80 40.28 38.77 37.83 36.71 35.78 34.32 32.62 31.89 31.73 31.32 30.37 30.76 31.32 30.37 29.81 30.60 30.60 30.76 32.30 32.46 32.46 32.87 33.30 33.88 35.02 35.60 35.16 35.60 36.18 35.87 35.87 36.02 36.18 36.35 36.15 35.79 35.67 35.90 35.32 34.80 34.80 34.80 34.87 35.17 34.67 33.99 34.49 35.30 35.63 35.79 35.48 34.49 34.36 34.36 34.36 34.06 33.26 33.21 32.69 31.89 31.36 30.87 30.10 28.78 27.80 27.59 27.39 26.09 24.61 23.58 21.73 20.01 19.76 19.00 17.25 16.08 14.34 13.02 11.80 10.67 9.59 8.01 6.90 5.80 4.60 3.77 3.33 3.73 4.12 3.58 4.49 5.27 5.27 5.56 6.26 6.67 6.67 6.67 6.67 6.67 6.26 6.37 5.56 3.77 2.95 2.43 1.86 1.86 3.00 4.49 6.87 8.99 10.31 12.26 14.26 15.09 15.56 16.03 15.56 14.26 13.44 12.61 10.14 7.68 5.27 2.36 2.36 5.27 8.99 12.43 15.69 18.87 21.73 24.67 26.78 28.83 31.71 34.21 35.87 37.14 38.86 40.52 41.74 42.57 43.41 43.85 43.85 43.80 42.97 42.57 41.30 40.03 38.37 36.70 35.04 31.71 29.21 26.72 23.39 21.73 19.62 17.09 15.42 13.36 12.92 11.67 10.42 9.66 8.50 8.99 8.44 8.76 9.72 9.45 10.67 11.92 12.37 14.74 16.51 17.18 18.94 20.11 21.87 24.78 25.99 27.16 29.49 31.83 33.00 34.20 36.54 37.71 37.71 38.30 39.48 40.07 41.25 41.25 40.66 40.68 40.70 41.26 40.70 39.00 38.37 38.90 38.30 37.72 37.17 36.65 36.77 36.92 37.79 38.03 38.45 39.13 40.28 42.02 42.72 44.27 45.62 47.00 48.10 49.72 52.47 53.93 55.42 56.93 58.10 60.93 63.31 63.68 65.34 67.00 67.00 65.80 65.43 64.97 63.68 61.66 57.63 54.80 52.33 48.23 42.49 38.10 32.69 26.93 23.67 14.78 +29.11 31.31 31.31 31.12 30.37 29.81 29.81 29.11 28.56 27.80 26.63 26.10 25.87 25.67 25.34 24.67 23.78 23.47 23.57 23.75 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43.50 42.98 43.05 43.23 43.22 44.04 44.88 45.52 46.42 47.17 48.28 49.39 49.94 51.06 53.11 54.83 55.81 56.57 57.57 59.06 60.88 61.93 62.74 63.88 65.09 66.03 66.35 66.04 66.11 66.36 65.89 65.34 65.26 65.19 64.75 63.91 63.42 63.42 62.59 60.92 60.09 60.09 59.70 58.87 58.10 57.27 56.89 56.60 55.40 54.21 53.98 53.64 52.47 51.66 51.03 50.14 48.77 47.43 46.67 45.65 44.10 43.11 42.49 40.99 39.51 38.21 37.09 36.59 35.30 33.75 33.02 32.46 32.06 31.50 30.93 31.32 30.76 29.81 30.76 31.50 31.68 32.62 33.19 33.02 33.02 34.16 34.73 35.30 36.44 36.59 37.02 37.02 36.59 36.75 36.91 36.75 35.96 36.35 36.55 35.90 35.90 35.32 34.80 34.80 35.08 35.17 35.17 35.48 35.30 34.49 33.99 33.99 34.49 35.48 35.48 34.87 34.36 34.36 34.28 33.48 32.94 32.15 31.36 30.87 30.64 30.42 29.45 28.14 27.39 27.04 26.31 25.44 24.62 23.46 21.73 20.92 20.76 19.00 17.18 15.37 14.15 12.98 11.26 10.09 8.33 6.59 5.43 3.95 3.33 3.33 3.17 2.95 3.00 4.49 5.27 5.27 5.27 6.07 6.37 6.26 7.10 7.19 6.87 6.37 6.26 5.43 3.95 3.73 3.00 1.86 1.86 3.00 4.49 6.87 8.50 10.14 12.61 14.26 15.09 15.09 15.92 15.92 14.26 13.44 12.26 10.31 8.19 5.27 2.36 2.36 5.27 9.32 12.61 15.56 18.98 21.45 24.67 27.16 28.90 31.84 33.88 35.48 37.54 39.20 40.47 41.74 42.13 43.37 44.20 43.37 43.37 43.37 42.53 40.87 40.03 38.37 36.70 35.04 31.71 29.21 26.72 23.39 21.29 19.18 17.13 15.92 13.44 12.15 11.26 10.00 8.76 8.01 8.19 7.66 8.01 8.44 8.33 9.50 11.20 11.84 12.98 14.78 16.08 17.77 18.94 20.17 23.05 24.81 26.03 28.34 30.65 31.83 32.43 34.77 36.54 37.12 37.71 38.30 38.89 39.48 40.07 40.07 39.48 39.48 39.48 38.89 37.71 36.54 37.20 36.65 36.07 36.77 36.33 35.94 36.18 37.16 37.48 38.57 39.73 40.16 41.94 43.75 45.34 46.19 47.60 48.54 49.53 52.33 53.98 55.63 57.63 58.35 61.20 63.68 63.68 65.34 67.00 67.00 65.71 65.26 64.89 63.68 61.20 57.06 54.58 52.09 47.61 42.00 37.29 31.89 26.93 22.92 14.25 +29.11 31.31 30.76 30.01 29.81 29.81 29.26 27.80 27.25 26.70 25.85 25.83 25.37 24.36 23.22 22.12 22.12 22.64 22.40 22.67 23.21 23.53 24.04 23.31 23.15 23.72 23.88 23.31 22.92 23.11 22.44 22.67 23.37 23.47 23.75 24.62 25.50 26.99 27.95 28.44 29.92 30.73 31.23 32.36 33.50 34.32 35.36 36.44 37.20 37.54 37.50 37.92 38.77 39.20 39.20 40.14 41.14 40.68 40.59 41.50 41.97 41.87 42.33 42.79 42.25 42.33 43.16 43.53 43.62 43.62 43.62 43.72 43.84 43.84 44.32 44.95 44.79 44.47 44.47 44.88 44.59 43.78 43.75 43.75 43.23 42.16 41.12 40.06 39.27 39.27 38.23 36.40 34.87 33.67 32.36 30.41 28.77 26.99 25.06 23.39 21.73 20.42 19.59 18.41 16.85 15.09 13.57 12.13 10.54 9.88 9.72 9.59 9.43 9.72 9.32 10.83 11.86 12.13 14.06 15.56 18.04 19.80 20.28 23.22 25.83 25.99 28.30 29.82 30.05 31.10 32.94 33.75 33.38 34.66 35.61 35.73 35.75 36.70 37.79 37.71 38.34 39.05 39.83 40.69 42.18 43.31 44.19 45.66 46.62 47.60 48.59 50.14 51.16 51.39 52.18 52.97 53.52 54.32 55.36 55.92 56.72 57.47 56.72 56.21 57.47 58.77 58.24 57.98 57.71 56.93 56.96 56.67 56.40 56.14 55.08 54.29 53.52 52.26 51.03 49.36 47.74 47.14 46.40 45.42 45.01 44.74 44.19 43.64 43.16 43.05 43.75 43.75 43.26 43.33 44.21 45.31 46.07 47.17 48.28 49.39 50.14 51.11 52.85 54.94 56.25 56.96 57.98 59.56 61.15 61.98 62.35 62.77 63.41 64.56 65.56 65.64 65.53 65.53 64.97 64.43 64.36 63.98 63.53 63.03 62.20 61.81 61.42 60.53 59.70 58.93 58.10 57.34 56.51 55.68 55.40 55.15 53.98 52.81 52.14 51.16 50.23 49.63 49.02 47.70 46.67 46.19 45.52 44.00 42.49 41.77 40.31 39.02 37.88 36.59 36.18 35.16 34.16 33.44 32.30 31.32 31.32 30.76 30.76 31.50 31.31 31.87 32.43 32.24 32.24 33.36 34.49 34.85 35.78 36.18 36.18 36.59 36.59 37.16 37.73 37.31 37.09 37.65 38.21 37.66 37.10 36.55 35.90 36.14 36.10 35.32 35.08 35.67 35.67 35.17 35.30 35.79 35.79 35.30 34.49 33.99 34.49 35.17 35.08 34.06 33.26 33.21 33.21 33.21 32.43 31.65 31.19 30.42 30.01 29.81 29.26 28.33 27.44 26.73 26.35 25.09 23.93 22.67 21.34 20.66 19.48 18.28 16.50 14.73 13.55 11.79 10.02 8.84 7.10 6.01 5.03 3.77 3.33 2.95 3.00 4.12 4.75 5.03 4.75 5.07 6.37 6.07 6.07 7.68 7.68 6.87 6.07 5.56 5.89 4.75 3.73 2.43 1.18 1.32 3.00 4.49 6.87 8.50 10.14 12.61 14.26 15.09 15.09 15.92 15.56 14.39 13.57 11.93 10.31 8.44 6.01 3.58 3.00 6.15 9.22 12.26 15.92 19.24 20.90 24.22 27.55 29.21 31.71 33.81 35.54 37.20 38.81 40.87 41.70 42.13 43.41 43.80 43.37 43.37 43.37 42.97 41.35 39.69 38.41 36.75 34.65 31.71 29.21 26.72 23.39 20.90 19.24 17.58 15.47 13.36 11.70 10.42 9.59 8.37 7.55 6.87 6.90 7.45 7.29 7.75 8.25 9.50 11.21 11.80 12.50 14.25 16.01 17.83 19.00 20.66 22.42 23.64 25.93 28.28 30.05 30.64 32.43 34.20 35.36 36.55 36.55 37.17 37.79 37.75 38.34 37.75 37.79 37.79 37.20 36.65 35.48 36.18 36.18 35.67 35.94 36.06 36.18 36.59 37.09 37.46 38.63 39.85 40.59 41.39 43.27 45.98 46.60 47.73 49.68 50.69 52.56 53.75 55.40 58.25 59.00 60.66 63.60 63.98 65.19 66.85 66.85 66.02 65.19 64.36 63.15 61.11 57.34 54.02 51.63 47.14 41.03 36.29 31.14 26.09 21.80 13.02 +29.11 31.31 30.42 29.66 29.81 29.26 28.14 27.25 27.25 26.39 25.31 24.78 23.55 22.55 21.92 21.68 21.68 21.81 21.74 21.87 22.44 22.55 23.15 23.15 23.15 23.01 22.44 22.58 22.36 22.36 21.67 21.12 21.58 21.81 22.09 23.47 24.76 25.50 25.99 27.49 29.02 29.61 31.14 32.24 32.86 33.67 34.32 34.89 35.16 35.48 36.25 36.67 37.09 37.94 38.37 38.41 39.02 39.85 40.14 40.59 41.14 40.68 40.59 41.50 41.50 41.05 41.42 41.87 41.97 41.97 41.97 42.43 43.37 43.84 43.50 43.31 43.97 44.16 43.35 43.27 43.23 42.43 42.16 41.90 41.12 40.87 40.62 39.55 38.21 37.42 36.63 35.58 34.28 32.74 31.14 29.11 27.80 26.80 25.22 23.93 22.75 20.90 19.59 18.33 16.26 14.17 13.44 13.08 11.79 10.54 9.88 9.15 8.92 9.45 9.59 10.62 11.07 12.13 13.74 15.37 18.63 20.28 20.76 23.70 26.17 27.13 29.42 30.42 31.14 31.89 33.21 34.53 35.06 35.45 35.60 36.52 36.44 36.52 36.92 36.70 37.17 37.71 38.34 39.05 40.35 40.69 41.61 43.46 43.63 44.72 46.22 47.17 47.60 47.74 48.52 49.30 49.81 50.60 51.13 51.39 52.18 52.70 52.72 53.52 55.08 55.61 54.81 54.82 54.82 54.82 55.40 54.57 54.04 54.04 53.23 52.18 50.88 50.14 49.72 48.71 47.61 46.67 45.51 45.00 44.60 43.99 43.50 42.98 42.85 42.76 42.96 43.50 43.56 43.33 43.88 44.97 45.52 46.07 47.17 48.28 49.24 50.45 51.45 52.77 54.86 56.40 57.19 58.27 59.87 60.96 61.34 61.78 62.43 63.09 63.77 63.99 64.24 64.71 64.24 63.60 63.53 63.60 63.15 62.25 61.42 60.98 61.04 60.21 58.93 58.55 58.17 57.42 56.23 54.58 53.39 52.81 52.14 51.32 50.67 50.23 49.34 47.70 46.67 46.19 45.19 44.00 43.42 42.50 41.04 40.59 39.88 38.73 37.45 36.18 36.06 35.02 33.88 33.17 32.16 31.32 31.32 31.32 30.93 31.12 31.31 31.31 31.68 32.24 32.62 33.73 34.85 35.04 35.96 37.09 37.48 37.31 37.48 38.04 38.61 38.77 37.83 37.83 38.57 38.21 37.66 37.31 36.68 36.63 36.89 36.64 36.18 35.67 35.37 35.48 35.30 34.98 35.30 35.79 35.48 34.49 33.67 33.55 34.28 34.28 33.48 32.94 32.15 32.19 31.96 31.19 30.76 30.01 29.81 29.63 28.90 28.58 27.74 26.35 26.09 24.92 23.69 22.46 21.83 21.21 19.45 18.86 18.27 16.50 14.73 13.55 11.79 10.02 8.33 7.29 6.01 3.95 3.33 3.33 3.73 4.12 3.58 3.95 4.25 5.07 6.26 6.26 6.37 7.19 7.10 6.67 6.26 5.56 5.56 4.60 3.33 2.12 1.77 1.67 3.00 4.49 6.87 8.50 10.14 12.61 14.26 15.09 15.09 15.56 15.21 14.73 13.44 11.79 10.14 7.68 5.27 3.00 2.36 6.07 8.99 12.43 15.69 18.87 21.35 24.30 27.16 29.21 31.71 34.21 35.87 37.14 38.86 40.52 41.74 43.02 43.46 43.46 43.46 43.46 43.46 43.02 41.74 39.25 37.97 36.70 34.21 31.71 29.21 26.72 23.39 20.90 19.24 17.13 14.59 13.33 11.67 10.00 8.76 8.01 7.68 6.07 5.80 6.90 6.59 7.07 7.68 7.68 9.45 11.33 12.02 13.08 14.25 15.50 17.77 19.48 20.70 22.42 24.16 25.93 28.29 29.49 30.69 31.87 33.08 34.30 34.85 36.07 36.70 36.07 36.70 36.77 36.18 36.18 36.18 36.18 35.67 35.17 35.17 36.06 35.73 35.16 36.02 37.27 37.10 37.53 38.77 40.06 41.39 41.95 43.66 45.92 46.74 47.89 49.87 51.86 53.39 54.11 55.68 58.55 59.76 60.14 63.08 64.75 65.52 66.75 66.36 65.58 65.58 64.69 62.20 60.21 57.80 54.02 50.71 46.67 40.55 35.63 30.73 24.78 20.35 11.79 +28.61 30.01 29.11 29.11 29.26 27.59 26.84 27.04 26.15 24.53 23.99 23.46 22.24 21.58 21.10 21.29 21.29 20.28 19.81 20.29 20.69 20.88 21.87 22.44 22.44 22.88 22.44 22.02 21.62 21.80 21.67 20.62 20.28 20.52 21.29 21.92 22.40 23.55 25.07 26.62 27.14 27.94 29.52 30.05 30.62 31.43 32.04 32.06 32.30 33.50 34.61 35.00 35.00 35.42 36.27 36.75 37.27 38.10 38.48 38.48 39.02 39.85 39.76 39.39 39.85 40.22 40.14 40.59 41.50 41.97 41.97 41.97 42.07 42.20 42.00 41.67 42.17 42.76 41.95 41.67 42.16 41.90 41.12 40.87 40.62 39.85 39.62 39.07 37.45 36.14 35.36 34.28 32.94 31.89 31.10 29.53 27.99 26.68 24.68 23.22 22.55 21.10 18.87 17.13 16.30 15.47 14.19 12.53 11.70 11.44 10.54 9.52 9.15 9.45 9.45 10.29 11.18 12.69 14.24 15.81 18.49 20.43 21.74 23.86 26.31 28.44 30.24 30.73 32.04 32.74 33.48 35.32 36.37 36.38 36.22 36.55 36.35 35.78 35.87 36.06 36.33 36.70 37.17 37.71 38.32 38.41 39.76 41.08 40.33 41.16 42.59 43.06 43.42 44.00 45.52 46.51 46.97 47.74 47.99 47.99 48.52 49.30 49.81 50.60 51.16 50.92 50.87 51.69 51.69 51.69 52.31 51.69 51.69 51.69 51.13 50.34 49.05 48.02 46.79 46.25 46.32 45.28 43.80 43.33 42.97 42.43 42.34 42.66 42.54 42.18 42.16 42.72 43.33 43.33 43.33 43.88 44.76 44.76 45.52 47.38 48.59 49.84 51.16 51.94 52.97 54.29 55.36 55.92 57.01 58.62 59.84 60.80 61.12 60.97 61.17 61.87 62.12 62.59 63.41 63.23 62.32 61.94 61.57 61.04 61.04 60.21 59.00 58.25 57.34 56.51 55.77 55.04 54.33 53.51 52.33 51.32 50.67 49.53 48.10 46.93 45.86 45.11 44.88 44.97 44.16 42.50 41.60 41.16 39.76 39.06 39.06 38.37 37.01 35.26 34.68 34.10 33.05 33.05 32.16 31.32 31.32 31.50 31.68 31.31 31.31 31.31 31.87 32.62 32.83 33.38 34.49 35.04 35.60 36.71 38.21 38.77 38.39 38.95 39.51 39.51 39.13 38.57 37.83 37.46 37.86 38.08 37.45 36.63 36.10 36.12 35.89 35.37 35.67 35.79 35.48 34.67 33.99 34.17 34.36 34.17 33.86 33.26 32.97 33.21 33.21 33.21 32.19 31.41 31.73 31.31 30.37 29.81 29.63 29.15 27.87 27.74 28.00 26.68 26.03 25.45 24.81 23.60 22.39 21.83 20.04 18.87 18.30 17.13 15.37 13.60 12.39 11.20 8.86 7.10 6.51 5.03 3.77 3.33 3.17 2.95 3.00 3.73 4.49 5.27 6.07 6.37 6.26 6.67 6.67 6.67 6.67 6.26 5.56 4.49 3.73 3.00 1.77 0.83 2.43 4.49 6.87 8.50 10.14 12.61 14.26 14.73 15.21 15.56 15.09 14.73 13.57 12.26 10.14 7.68 5.27 2.95 3.00 5.80 9.32 12.61 15.56 18.98 21.92 23.93 26.78 29.73 31.84 33.88 35.48 37.97 39.69 40.14 41.80 43.02 43.41 43.85 43.46 43.46 43.46 42.18 41.30 39.64 37.58 36.75 34.71 31.84 28.90 26.33 23.39 20.90 19.24 16.75 14.26 12.98 11.26 10.00 8.33 7.10 7.19 6.07 5.03 6.15 6.01 5.30 6.48 7.10 7.86 9.59 10.75 12.02 13.76 14.34 15.95 17.72 18.94 21.22 22.98 24.16 26.54 28.38 28.97 30.14 32.02 32.67 32.67 34.00 34.59 34.42 35.67 36.42 35.17 35.17 35.26 34.68 35.37 34.79 34.32 36.02 35.61 34.49 35.60 37.53 37.45 37.42 38.48 40.07 41.95 42.85 44.62 45.77 46.58 48.57 50.44 51.99 53.65 54.85 56.44 58.48 60.14 60.53 62.20 65.13 66.36 66.75 65.52 65.13 65.97 64.75 62.25 59.31 57.27 54.40 49.88 45.84 40.55 35.63 30.73 24.27 19.51 10.67 +28.44 29.11 28.35 28.35 27.59 26.48 26.84 25.73 23.75 23.21 22.68 21.61 20.62 20.28 19.80 18.79 18.41 18.80 19.00 19.27 19.59 19.44 20.01 21.03 21.03 21.61 21.73 21.29 20.88 20.69 21.12 20.62 20.28 20.07 20.07 20.76 21.74 22.95 24.25 24.78 25.31 26.39 26.93 27.16 27.67 28.46 29.02 29.26 29.94 30.76 31.32 32.09 32.92 33.33 33.34 33.81 34.71 35.16 35.54 36.37 37.27 38.10 38.56 38.56 38.93 39.76 39.76 38.93 38.93 39.85 40.31 39.95 39.25 38.91 39.55 40.04 39.73 40.35 40.87 40.59 40.59 40.62 39.85 39.31 39.39 38.63 38.08 37.86 36.77 35.67 34.91 33.81 32.19 30.58 29.80 28.73 27.42 26.35 24.27 22.24 21.12 20.11 19.12 18.04 17.21 16.38 15.02 13.36 12.09 11.79 11.44 10.82 10.29 10.29 10.67 11.20 11.92 13.44 14.91 16.41 18.19 20.83 22.44 24.05 26.98 29.11 30.73 30.73 32.36 33.67 34.36 35.89 36.40 36.92 36.37 35.85 36.14 36.22 36.15 35.61 35.87 36.06 36.33 36.12 36.02 36.55 37.12 37.14 36.70 38.01 39.33 39.18 39.44 40.31 41.20 41.55 42.49 43.45 43.88 44.65 45.19 45.74 46.19 46.43 46.73 47.05 47.28 48.37 48.59 48.59 49.24 48.59 48.59 48.59 47.99 47.43 46.93 46.19 44.97 44.29 43.84 43.53 43.37 42.92 42.18 41.72 41.52 42.17 42.76 42.43 41.90 41.94 42.79 43.33 43.33 43.33 44.00 44.00 43.88 45.42 47.21 47.99 48.52 49.55 50.86 52.20 53.80 54.89 55.48 56.59 57.53 57.86 58.18 59.18 60.22 60.58 60.47 60.83 61.29 61.20 61.11 60.74 60.37 59.83 59.00 58.25 57.42 56.69 55.40 54.11 53.39 52.33 51.17 50.35 49.68 49.04 48.10 46.70 45.34 44.28 43.56 43.11 42.14 41.55 42.02 41.16 39.76 39.43 38.75 37.59 36.92 36.77 36.18 35.08 33.92 33.33 32.26 31.68 30.74 29.87 30.03 30.37 31.12 31.31 31.52 32.28 33.05 33.81 34.36 34.36 34.91 36.00 36.55 36.90 37.83 38.95 38.95 38.39 38.95 39.69 39.88 39.69 39.13 38.41 38.08 38.30 38.23 37.70 36.89 36.40 36.40 36.18 35.67 34.67 34.36 34.36 33.99 33.86 33.55 33.35 33.26 32.69 31.89 31.62 31.36 31.41 31.73 31.19 30.76 30.76 30.20 29.63 29.15 28.78 27.62 26.93 27.80 27.16 26.03 25.99 25.34 24.17 23.01 22.42 21.22 20.07 19.00 17.25 16.08 14.25 12.39 11.80 10.03 7.68 7.17 6.15 4.75 3.77 2.95 3.00 4.12 4.71 4.75 5.03 6.07 6.07 6.07 6.87 6.87 6.87 6.87 6.37 5.89 4.75 3.73 3.00 1.86 1.67 2.36 4.49 6.87 8.50 10.14 12.61 13.91 14.39 15.21 16.03 15.21 14.39 13.57 12.75 10.31 7.66 6.01 3.73 3.73 6.01 9.22 12.26 15.92 19.24 21.73 23.84 27.24 30.18 31.84 33.50 35.16 38.03 39.64 40.47 42.18 42.18 43.41 44.68 43.46 43.46 43.46 41.80 40.52 40.08 38.03 36.82 35.16 31.84 28.53 25.58 23.47 21.45 18.98 16.38 14.26 12.61 10.96 9.66 7.93 6.67 6.67 5.43 3.95 5.03 5.43 4.71 5.34 6.72 7.45 8.33 8.92 9.59 11.33 13.08 14.78 15.95 17.10 18.86 21.22 22.42 24.27 26.75 27.34 28.00 29.94 31.10 31.68 32.94 33.52 32.94 33.75 35.16 33.75 33.75 34.59 33.44 33.59 33.75 33.36 35.04 35.04 34.49 35.90 37.17 37.95 38.48 38.52 39.92 42.17 43.64 44.80 45.62 47.14 49.05 51.08 51.91 53.57 55.23 57.27 58.48 60.14 61.36 61.76 65.09 66.75 66.75 65.48 65.05 65.48 63.86 62.64 59.70 56.37 53.95 49.42 45.28 40.31 35.00 30.24 24.27 19.51 10.67 +25.99 28.01 27.80 27.04 25.93 25.73 25.53 24.07 23.21 22.68 21.61 20.56 19.30 18.63 18.04 17.09 16.75 17.49 17.92 18.08 18.87 19.44 19.30 19.67 19.67 19.67 19.76 20.01 20.16 19.38 19.27 19.00 18.98 19.62 20.07 20.43 20.62 21.61 22.98 23.75 24.84 25.39 25.39 25.39 25.61 26.39 26.88 27.49 27.95 27.95 28.53 29.61 30.44 31.25 31.68 31.71 32.15 33.05 33.43 33.81 34.71 35.16 35.61 36.44 36.82 36.82 36.90 36.90 36.82 37.27 37.83 37.61 37.27 37.27 37.75 38.41 38.30 38.23 38.21 37.70 37.45 38.30 38.85 38.08 37.46 36.90 36.35 35.96 35.04 34.49 33.54 31.87 30.76 29.11 27.80 26.93 26.09 25.61 24.25 22.67 21.08 19.81 19.61 18.63 17.33 16.51 15.56 15.09 14.19 12.53 11.79 11.44 10.82 11.18 12.02 11.92 12.37 14.34 15.72 17.16 18.63 21.12 22.93 24.51 27.19 29.11 30.73 31.23 33.05 34.36 35.17 35.98 36.48 36.99 36.18 36.40 36.89 36.92 35.90 34.91 35.79 35.22 34.89 34.45 34.10 34.59 34.42 34.30 34.20 35.36 35.96 34.95 35.67 36.42 36.63 37.45 38.30 38.61 39.51 40.44 40.63 40.99 41.18 41.59 42.69 43.80 44.00 44.35 44.55 45.31 46.22 45.52 45.52 45.52 44.88 44.28 43.75 43.78 44.16 43.80 42.54 41.87 41.70 41.27 40.59 40.55 40.70 40.54 40.87 41.37 41.40 41.16 41.47 41.80 41.80 41.80 42.69 43.66 44.34 44.57 44.82 45.89 46.67 47.43 48.77 49.85 50.94 52.55 53.66 54.59 55.73 56.55 57.21 57.75 58.10 58.10 58.35 58.71 58.81 58.71 58.62 58.71 58.71 57.89 56.23 55.40 55.40 55.15 53.98 52.56 51.86 50.99 49.36 47.73 46.60 45.68 44.54 43.48 42.72 42.02 41.59 40.99 39.90 38.87 38.95 38.75 38.08 38.01 37.94 36.70 35.48 35.43 34.89 34.30 33.13 32.02 31.50 31.10 30.74 29.87 29.63 29.81 29.81 30.01 30.64 31.96 32.73 33.50 34.59 35.36 35.90 36.44 37.31 37.46 37.46 38.57 39.51 39.13 39.32 39.88 39.69 39.69 40.07 39.73 38.85 38.53 37.99 37.45 36.89 36.40 36.40 35.89 35.08 34.36 34.36 34.36 33.67 33.26 32.74 32.24 31.89 31.62 31.62 31.36 30.64 29.87 30.42 30.56 29.46 29.15 28.73 28.58 28.78 28.67 28.00 26.68 27.13 27.13 25.99 25.93 25.40 24.22 23.60 23.01 21.87 20.83 19.67 18.42 17.25 15.42 13.02 11.92 10.67 8.27 7.10 6.01 5.03 3.95 3.33 3.73 4.12 3.58 4.29 4.86 5.80 6.07 6.07 6.87 6.87 6.87 6.87 6.07 5.56 5.07 3.95 3.00 1.86 1.67 2.36 4.49 6.59 8.70 10.31 12.43 14.06 14.73 15.09 15.56 15.21 14.73 13.44 12.26 10.31 7.12 5.59 2.95 2.95 6.15 8.98 12.13 15.69 18.87 21.73 24.67 28.07 30.18 31.84 33.50 35.16 37.65 38.86 40.91 43.02 42.25 43.53 44.74 43.46 43.46 43.46 41.80 40.14 40.14 38.48 36.82 35.16 31.84 28.53 25.22 23.57 21.45 18.04 15.92 14.26 12.61 10.96 8.84 7.10 6.67 6.26 4.75 3.73 4.29 4.75 4.75 5.03 5.59 6.01 7.10 7.75 8.44 9.59 11.26 13.02 14.78 16.50 17.10 18.94 20.76 22.67 24.62 25.77 27.04 28.44 29.02 30.17 31.45 32.16 32.30 32.46 33.75 33.02 32.62 33.54 32.98 32.62 32.83 32.83 34.36 34.59 34.28 36.37 36.92 37.20 38.81 39.11 40.86 42.34 43.98 45.14 45.84 48.22 49.42 51.08 52.28 53.50 55.16 58.04 58.43 60.09 61.76 62.15 65.05 66.31 66.75 66.31 65.05 65.05 63.78 62.12 59.65 55.54 53.50 49.72 44.74 39.85 34.53 29.26 24.05 19.24 10.09 +25.67 27.25 26.70 25.93 25.39 25.17 23.86 22.76 22.44 21.61 20.56 19.52 18.80 18.15 17.13 16.67 16.75 16.68 16.64 17.16 17.58 18.03 18.50 19.00 19.00 19.08 19.18 18.61 18.15 18.08 17.95 17.40 17.21 17.92 18.41 18.80 19.52 21.12 22.00 22.55 23.67 23.86 23.86 24.42 25.17 25.39 25.07 25.03 25.67 26.31 26.17 26.33 27.16 27.94 28.75 29.61 30.44 31.32 31.77 31.71 32.15 33.05 33.50 33.50 33.88 34.71 35.61 36.44 36.44 35.61 35.71 36.78 37.27 37.27 36.94 36.48 36.40 36.37 36.14 35.90 35.90 36.22 36.35 35.96 35.78 35.22 34.49 34.32 33.36 32.62 32.46 31.50 30.37 29.26 28.14 26.70 25.61 25.39 24.53 23.21 21.90 20.32 19.00 17.69 17.00 17.00 16.51 15.56 15.09 14.59 13.81 12.98 12.26 12.69 12.87 12.72 14.25 15.91 16.59 17.45 19.02 21.25 22.98 24.78 27.14 29.02 30.42 32.04 33.86 34.36 34.67 35.79 37.10 36.79 35.98 36.79 37.29 36.18 35.08 35.05 35.32 34.28 33.81 33.38 32.80 33.02 32.73 32.47 32.84 33.84 33.08 32.41 33.59 33.08 33.13 34.36 34.59 34.79 35.48 35.73 36.59 37.88 38.04 38.21 39.34 40.47 40.81 41.37 41.94 42.68 43.24 43.05 43.25 42.69 41.80 41.70 41.90 42.43 42.25 41.67 41.25 40.59 40.03 40.03 39.85 39.73 39.88 39.92 40.07 40.59 41.16 41.16 41.47 41.80 41.80 41.80 42.35 42.79 43.26 43.80 43.50 44.28 45.86 46.66 47.22 48.02 48.61 49.72 51.34 52.30 53.11 54.26 55.42 55.63 55.98 56.45 55.87 55.40 55.87 56.23 55.77 55.40 55.40 55.51 55.15 54.21 53.39 52.81 52.14 50.69 49.53 49.22 48.10 46.49 44.88 43.75 42.72 41.16 40.49 40.07 39.51 39.02 38.73 38.37 38.08 37.94 37.29 36.65 36.58 35.96 34.79 34.20 33.61 33.02 32.46 31.37 30.92 30.52 30.17 30.03 29.81 29.81 30.01 30.64 31.11 31.41 31.65 32.43 33.75 35.06 35.90 35.90 36.77 38.21 38.41 38.77 39.69 40.07 40.28 40.44 40.25 40.07 40.28 40.28 39.39 38.30 37.76 37.45 36.63 35.32 34.80 34.80 34.80 34.06 33.55 33.55 32.74 32.17 31.94 31.65 31.62 31.36 30.58 30.10 30.01 28.90 28.14 28.73 29.15 29.02 27.74 26.93 27.34 27.34 27.80 27.16 27.13 27.11 25.93 25.99 26.03 24.81 23.69 22.67 21.61 21.03 19.67 19.08 17.92 16.08 14.25 13.02 11.80 9.43 7.68 6.72 6.15 5.27 4.60 3.95 3.58 2.95 4.49 5.03 5.59 5.80 6.07 6.87 6.87 6.87 6.37 5.89 5.56 5.27 4.49 3.00 1.86 1.67 2.36 4.29 6.35 8.70 10.31 11.93 14.39 15.21 15.21 15.21 15.21 15.21 13.57 11.93 10.31 7.38 5.27 3.00 3.00 6.59 9.22 12.13 15.37 18.63 21.92 25.22 28.53 30.18 31.84 33.50 35.16 38.10 39.02 40.68 43.08 43.08 43.53 43.91 43.46 43.46 43.46 41.80 40.14 40.14 38.48 36.82 35.16 31.84 28.53 25.22 23.10 20.52 17.58 15.92 14.26 12.15 10.42 8.33 6.67 6.67 5.43 3.95 3.73 3.58 4.12 4.29 4.49 4.86 5.43 6.59 7.29 8.01 9.01 10.03 10.62 12.37 14.78 16.01 17.25 19.08 21.73 23.01 24.16 26.15 27.60 27.60 28.33 29.81 30.37 31.68 31.87 31.87 32.43 32.62 32.83 32.83 32.83 33.05 32.73 33.75 34.79 34.80 36.18 36.99 37.29 38.41 39.55 41.85 42.54 43.72 45.38 46.57 48.59 49.42 51.45 53.05 53.83 55.06 57.99 58.82 60.05 61.72 62.95 65.02 65.45 66.31 66.75 65.48 65.05 64.22 61.72 58.82 55.10 53.44 50.11 43.91 39.02 34.89 28.64 23.37 19.00 9.01 +25.17 25.93 25.39 25.39 24.84 24.07 22.98 22.21 21.12 19.76 19.24 19.00 18.30 17.21 16.26 15.42 15.09 15.29 15.66 16.44 16.76 16.67 17.25 18.42 19.00 18.50 18.50 18.50 17.73 17.52 17.18 16.88 16.75 16.67 17.21 18.49 19.24 20.14 20.50 20.88 21.29 21.45 22.18 23.31 24.04 23.86 23.53 23.21 23.19 23.55 23.70 23.93 24.76 25.50 26.25 27.09 27.92 28.78 30.05 30.88 30.88 31.32 32.22 33.05 33.43 33.43 33.88 34.71 34.89 34.06 33.96 35.00 35.63 35.30 34.67 34.57 34.80 35.32 35.90 35.90 35.67 35.04 34.49 34.32 34.32 34.32 34.16 33.44 32.30 31.58 31.01 30.60 30.03 28.90 27.77 26.28 25.17 24.42 23.31 22.55 21.67 20.56 19.76 18.72 17.49 17.00 17.00 16.51 15.56 15.02 14.59 14.19 14.26 14.49 14.01 14.17 15.50 15.95 16.51 17.25 19.44 21.62 22.55 25.07 27.94 28.73 30.05 32.24 33.67 33.99 33.99 35.63 37.27 36.45 35.63 36.45 37.27 35.63 35.30 35.48 34.36 34.06 33.48 32.41 32.68 32.50 31.87 31.50 31.89 32.30 30.62 31.00 31.43 30.08 30.65 31.83 31.25 31.32 31.96 32.09 32.75 34.00 34.90 35.73 36.88 37.45 37.59 38.30 39.44 40.16 40.31 40.47 40.81 40.63 40.28 40.49 40.62 40.59 39.83 39.23 39.25 39.31 38.77 38.37 39.02 39.73 39.23 38.81 39.27 39.80 40.62 41.16 41.47 41.80 41.80 41.80 42.02 42.25 41.94 42.72 43.75 44.27 45.07 45.62 46.19 47.00 47.60 48.22 49.04 49.68 50.50 51.17 52.33 53.16 53.03 53.51 53.86 53.75 53.75 53.75 53.75 53.75 53.75 53.86 53.98 53.51 52.33 51.32 50.67 49.36 47.73 47.00 46.42 45.34 43.48 41.94 41.25 40.28 39.13 38.04 37.59 37.33 37.01 36.77 36.65 36.58 35.96 35.36 34.77 34.77 34.18 33.00 33.00 32.41 31.84 30.73 29.67 29.26 29.02 28.73 28.51 29.26 29.66 29.80 30.33 30.87 31.36 32.15 32.94 34.00 35.36 36.14 37.22 38.63 39.18 39.52 40.07 40.28 40.28 40.99 40.99 40.28 40.28 40.28 39.73 38.85 38.53 37.99 37.17 36.37 35.32 34.80 34.80 34.28 33.26 32.45 31.89 31.37 30.85 30.31 30.05 30.10 29.33 29.11 29.81 29.26 28.33 28.01 28.44 28.78 28.09 27.42 27.27 26.62 27.13 27.11 26.52 26.54 25.99 26.03 26.09 25.00 23.93 23.46 22.19 21.51 20.34 19.30 18.03 16.67 15.42 13.60 12.39 11.20 8.92 7.29 6.59 5.27 5.07 4.60 3.95 3.73 4.75 5.03 5.27 5.27 6.07 6.87 6.87 6.87 6.07 6.07 6.07 5.27 4.49 3.00 2.43 2.50 3.00 4.17 6.59 8.19 10.31 12.26 13.91 14.87 15.37 15.37 15.37 15.37 13.74 12.13 10.54 8.44 5.59 3.58 3.58 7.12 10.02 12.13 15.37 18.63 21.92 25.22 28.53 30.18 31.84 33.50 35.16 38.48 39.76 40.22 42.25 43.46 43.46 43.46 43.46 43.46 43.46 41.80 40.14 40.14 38.48 36.82 34.71 31.32 28.38 25.50 22.64 20.16 17.68 15.56 13.81 11.70 10.03 7.93 6.67 6.67 5.00 3.33 2.95 2.43 2.95 3.17 3.73 4.29 5.03 6.15 6.90 7.45 8.33 9.43 9.43 10.62 13.02 15.42 16.67 18.03 20.88 21.62 22.36 24.62 25.93 26.28 27.59 29.11 29.11 30.64 31.65 30.33 30.87 32.19 32.19 32.19 32.43 32.94 32.69 33.26 34.36 35.17 35.98 36.79 37.92 38.57 40.07 42.07 42.90 44.08 45.65 46.85 48.51 49.72 51.77 53.44 54.66 55.46 57.12 59.22 60.45 61.69 63.36 65.02 65.02 65.85 66.69 65.85 64.62 63.82 61.76 58.43 55.49 53.39 49.67 43.46 38.48 34.79 28.64 22.88 18.49 9.01 +25.01 25.61 25.39 24.84 23.75 22.98 21.90 21.12 20.04 18.72 17.92 16.88 15.69 15.09 14.59 13.81 13.44 14.24 14.91 15.72 16.67 16.67 16.67 17.25 18.35 17.77 17.25 17.92 17.16 16.77 16.64 16.68 16.75 16.67 17.33 18.20 18.45 19.38 19.76 20.16 20.58 21.16 21.87 22.44 21.87 21.45 21.80 21.67 21.36 21.35 22.24 23.22 23.57 23.93 25.06 26.25 26.67 27.09 27.92 28.78 29.21 29.21 30.05 31.32 31.77 31.77 31.77 31.77 32.41 33.23 33.13 32.54 32.36 32.54 32.74 32.97 33.21 33.75 34.36 34.14 33.73 33.92 34.32 34.32 34.16 33.44 33.17 32.47 31.45 31.45 30.87 29.73 29.02 27.87 26.87 25.91 24.78 24.04 22.92 22.36 21.67 21.08 21.08 20.56 19.00 17.49 17.00 17.00 16.51 15.47 15.00 15.02 15.09 15.06 15.02 15.66 16.30 16.67 17.13 18.28 20.83 21.73 22.75 25.73 27.70 28.20 29.78 31.65 33.05 33.67 33.99 35.14 36.65 36.18 35.36 36.18 37.01 35.36 35.36 35.36 33.71 33.71 33.36 32.36 33.05 32.45 31.10 30.58 30.87 30.64 29.45 30.20 29.15 28.20 29.17 29.67 28.97 29.49 30.05 30.08 30.69 31.28 31.91 32.67 33.33 33.92 34.59 35.26 36.42 37.10 37.33 38.03 38.87 38.95 38.77 38.77 38.63 38.23 37.96 38.10 38.09 37.65 37.09 36.70 37.27 38.09 38.60 38.81 39.00 39.02 39.55 40.39 40.49 40.28 40.28 40.49 40.93 41.70 41.94 41.65 42.16 43.23 44.02 44.59 44.88 45.17 46.10 47.23 47.73 47.89 49.05 50.21 50.91 51.86 52.21 52.56 53.39 53.75 53.75 53.75 53.75 53.39 52.56 51.86 51.17 50.35 49.68 49.36 49.22 48.10 46.49 45.34 44.01 42.72 41.47 40.28 39.32 38.95 38.30 36.75 35.94 35.67 35.43 34.79 34.77 34.79 34.22 34.26 33.63 33.63 33.63 32.43 31.84 31.24 30.65 30.10 29.02 28.20 28.58 28.73 27.95 28.14 28.78 29.52 30.58 31.62 32.69 33.21 33.21 33.73 35.32 36.63 37.45 38.30 39.39 40.28 40.28 40.28 40.28 40.99 40.99 40.28 40.28 40.28 40.28 39.39 38.30 37.76 37.17 36.63 35.58 34.80 34.53 33.73 32.69 31.89 31.62 31.10 30.31 29.80 29.02 29.11 28.90 28.14 28.33 28.33 28.58 27.74 26.93 27.34 27.34 27.27 27.16 26.54 26.52 26.54 25.99 26.03 26.09 25.58 25.67 25.77 24.62 24.04 22.77 21.61 21.03 20.34 19.08 17.25 16.08 14.25 12.39 11.80 9.45 7.75 7.10 5.03 4.25 4.17 3.77 3.73 4.71 4.75 5.59 5.59 5.80 6.87 6.87 6.87 6.07 6.07 6.07 5.27 4.49 3.00 2.36 1.67 2.36 3.73 6.59 7.91 10.31 12.75 13.57 14.06 15.37 15.69 15.21 14.87 13.74 12.13 10.54 8.98 6.01 3.73 3.73 7.45 10.54 12.13 15.37 18.63 21.92 25.22 28.53 30.18 31.84 33.50 35.16 38.48 40.14 40.14 41.80 43.46 43.46 43.46 43.46 43.46 43.46 41.80 40.14 40.14 38.48 36.37 33.81 30.88 28.38 25.89 22.56 20.07 17.58 15.09 13.44 11.79 9.66 7.10 6.67 6.26 4.75 3.73 3.00 2.36 2.43 2.95 3.73 3.73 3.95 5.03 5.59 6.01 7.10 8.84 9.43 10.02 11.80 14.34 15.72 17.16 19.94 21.25 22.00 24.07 25.39 25.61 26.63 28.20 28.46 29.26 31.10 30.31 30.05 31.14 31.14 31.14 32.24 32.54 32.54 33.67 33.99 34.81 35.96 36.65 37.83 38.66 40.68 41.87 42.33 44.82 46.40 47.17 48.40 50.06 52.12 53.36 54.62 55.89 57.12 59.19 60.86 61.69 63.36 65.02 65.02 65.85 66.69 65.85 64.19 62.95 61.32 58.82 56.29 52.96 48.84 43.46 38.48 33.96 28.64 23.22 17.49 8.44 +24.87 25.31 24.84 23.75 23.21 22.68 21.61 20.29 18.98 18.20 17.18 15.87 15.21 14.64 13.81 13.08 12.26 12.69 13.44 14.45 16.08 16.67 16.59 15.95 16.51 17.13 16.67 16.76 16.44 16.21 16.34 16.18 16.30 16.67 16.51 16.60 17.41 18.63 19.02 19.44 20.45 21.03 21.03 21.03 20.58 21.16 20.88 20.69 21.12 21.08 21.35 21.74 22.40 23.22 23.47 23.78 25.01 26.25 26.67 27.09 27.94 28.78 29.18 29.21 29.66 30.49 30.93 30.56 30.65 31.47 31.58 31.05 30.73 31.23 31.94 31.89 31.36 31.41 32.07 32.24 32.06 32.46 32.87 32.73 32.47 31.78 31.68 31.68 30.62 30.05 30.05 29.47 28.78 27.62 26.01 24.87 23.88 23.88 23.31 22.36 21.67 20.82 20.04 19.51 19.24 18.49 17.49 17.00 17.00 16.75 16.67 16.26 15.92 16.18 16.60 17.18 17.33 17.45 17.83 19.45 21.29 21.42 23.58 25.91 26.48 28.48 29.52 30.85 32.24 32.86 33.99 34.32 35.36 36.07 35.25 35.61 36.37 35.09 35.09 35.09 33.88 33.50 33.50 33.13 33.23 32.06 30.90 30.73 30.62 30.05 29.52 29.26 27.47 27.59 28.33 27.87 27.62 28.09 27.92 28.38 29.49 29.46 30.06 30.05 30.08 31.84 33.08 33.77 34.36 34.95 35.67 36.42 37.10 36.44 36.35 37.09 37.46 37.22 36.89 36.18 35.63 35.61 36.25 36.70 36.82 37.27 38.10 38.81 39.27 39.02 39.02 39.62 40.28 40.28 40.28 40.16 40.39 40.39 40.62 40.87 40.32 40.59 41.67 42.76 43.56 44.16 44.62 45.43 46.42 46.92 47.61 48.44 48.79 49.26 50.09 50.44 50.80 51.63 52.09 52.09 51.74 51.03 50.56 50.69 50.50 49.36 48.22 47.41 47.00 46.14 44.54 43.75 42.79 41.04 40.07 39.51 38.04 37.02 37.01 35.67 34.36 34.22 34.77 34.20 33.67 33.77 33.19 33.13 33.13 32.60 32.02 31.37 30.73 30.08 29.47 29.52 29.09 27.74 27.44 28.17 27.95 27.80 28.20 29.26 30.31 31.14 32.45 33.48 34.28 34.80 35.32 36.37 37.70 38.53 38.85 39.73 40.28 40.28 40.28 40.99 40.99 40.28 40.07 39.32 38.77 38.41 38.08 37.76 36.92 36.14 35.32 34.53 34.00 33.21 32.15 31.62 31.62 31.36 30.58 30.10 29.33 29.11 29.26 28.33 27.44 26.73 27.04 27.51 27.42 27.27 26.62 26.54 26.52 25.93 26.52 27.16 26.62 26.03 26.75 26.25 25.67 26.35 25.77 24.62 23.46 22.31 21.03 20.34 19.76 17.92 16.67 15.42 13.02 11.84 10.03 8.92 8.33 6.90 5.56 4.60 4.17 4.49 4.75 4.71 5.43 5.59 5.59 6.59 6.87 6.87 6.07 6.07 6.07 5.27 4.49 3.58 3.00 2.50 3.00 4.17 6.15 8.44 10.31 12.43 13.74 13.74 15.37 16.51 15.21 14.06 13.74 12.13 10.54 8.98 6.01 3.73 3.73 6.90 10.31 12.43 15.37 18.63 21.92 25.22 28.53 30.18 31.84 33.50 35.16 38.48 40.14 40.14 41.80 43.46 43.46 43.46 43.46 43.46 43.46 41.80 40.14 40.14 38.48 35.54 32.98 30.88 28.38 25.45 22.09 20.00 17.92 15.02 12.92 11.26 9.20 7.10 6.26 5.56 4.49 3.58 3.54 3.00 2.95 3.33 3.95 4.49 4.25 4.75 5.59 6.01 6.59 8.27 9.43 9.43 10.67 13.44 14.91 16.41 18.49 20.35 21.67 23.21 24.78 25.83 26.39 27.49 28.30 27.99 29.82 30.62 30.42 30.73 30.73 31.05 32.20 32.20 32.54 33.71 33.71 34.89 36.44 36.82 37.27 38.56 41.42 42.18 42.13 45.03 46.70 47.53 48.36 50.03 52.53 53.76 54.17 55.43 57.93 59.58 60.42 61.67 63.34 64.60 65.02 65.85 66.69 65.85 64.19 62.52 60.86 59.19 56.29 52.16 48.45 43.46 38.48 33.50 28.53 23.57 17.00 7.45 +23.57 24.25 23.75 23.21 22.68 21.61 20.56 19.52 18.72 17.69 16.51 15.69 14.73 13.33 12.61 12.75 12.13 11.93 12.72 13.18 14.25 15.37 15.92 15.92 15.95 16.59 16.67 16.30 16.59 16.41 15.81 15.37 15.02 15.42 16.03 16.60 17.18 17.89 18.87 19.44 19.76 19.67 19.67 19.67 19.76 20.34 20.01 20.32 20.14 19.51 19.51 19.52 20.62 21.74 21.81 22.18 23.47 24.62 25.00 25.42 26.67 27.92 28.35 28.38 28.38 28.38 28.83 29.73 30.18 29.82 29.59 30.24 30.73 30.42 30.05 30.05 30.33 30.64 31.12 31.32 31.32 31.58 31.32 31.10 31.00 31.00 31.00 30.92 29.75 28.58 27.92 27.34 27.34 26.84 25.89 25.44 24.45 23.72 23.15 22.36 21.67 21.12 20.35 19.51 19.24 19.00 18.80 18.63 18.63 18.41 17.92 17.50 17.58 17.33 17.40 17.95 17.73 17.73 19.08 20.70 21.21 21.87 24.51 25.44 25.91 28.56 29.02 30.31 31.14 32.04 33.50 33.36 34.06 35.16 35.09 35.09 35.48 35.04 34.61 35.01 34.61 33.37 33.37 33.37 33.37 32.15 31.39 31.47 30.76 30.08 29.42 28.30 27.19 27.42 27.67 26.93 26.28 26.65 26.87 27.16 27.62 27.34 28.44 28.97 29.49 31.25 31.83 31.83 32.43 34.20 35.43 35.01 35.01 34.68 35.16 36.02 35.78 35.24 35.06 35.08 34.81 34.42 35.04 36.27 36.44 36.45 36.79 37.20 38.48 39.02 38.77 38.85 39.73 40.28 40.28 39.62 39.62 39.62 39.55 40.33 40.32 40.35 40.93 41.74 42.54 43.16 43.64 44.13 44.62 45.14 45.49 45.84 46.67 47.14 47.50 48.32 48.68 48.68 48.79 48.79 48.91 49.05 48.91 49.05 49.36 49.22 48.10 46.49 45.34 44.54 43.50 42.25 41.94 40.99 39.51 38.87 37.33 35.75 35.48 34.81 33.59 33.00 33.67 33.77 33.26 33.33 32.67 32.09 32.17 32.17 31.50 30.78 30.73 29.49 28.29 28.34 27.92 27.16 26.87 27.04 27.59 28.48 28.73 28.73 29.53 30.42 31.43 32.74 34.06 35.08 35.89 36.64 37.17 37.76 38.30 39.39 40.28 40.28 40.28 40.99 40.99 40.28 40.44 39.69 38.77 38.41 38.08 37.53 36.44 35.90 35.06 34.00 33.75 33.50 32.43 31.36 30.58 30.10 29.33 29.11 28.90 28.14 28.33 28.58 27.87 27.16 26.93 26.84 27.27 27.16 26.54 26.52 27.11 26.52 26.52 27.80 27.27 26.09 26.84 26.84 26.35 25.89 25.89 25.31 24.04 23.46 21.73 20.01 19.44 18.03 16.76 15.60 13.67 12.39 10.62 9.45 8.33 7.45 6.59 5.56 5.00 4.75 4.29 4.71 4.75 5.59 5.59 5.80 6.87 6.87 6.59 6.90 6.15 5.59 5.43 4.12 3.00 2.95 3.73 4.71 6.01 8.98 10.54 12.13 13.74 14.06 15.21 16.51 15.37 13.74 13.74 12.13 10.54 8.98 6.01 3.73 3.73 6.15 10.31 13.24 15.37 18.63 21.92 25.22 28.53 30.18 31.84 33.50 35.16 38.48 40.14 40.14 41.80 43.02 42.97 43.80 43.85 43.02 42.97 41.70 40.03 40.03 38.37 35.04 32.54 30.44 27.92 25.00 21.67 20.00 17.92 14.64 12.61 10.96 9.32 7.68 6.07 5.27 4.49 2.95 3.58 3.73 3.33 3.33 3.77 4.75 4.75 4.25 5.03 6.01 6.01 7.10 8.84 9.45 10.29 12.49 14.55 16.09 17.66 19.52 20.62 22.24 23.86 25.17 26.48 27.30 28.11 27.62 28.77 30.41 30.41 30.41 30.41 31.58 31.94 31.94 33.13 33.50 33.50 35.16 36.82 36.82 37.20 38.81 41.70 42.53 42.93 45.01 46.27 47.53 48.77 50.01 52.10 54.60 54.58 55.00 58.33 60.00 60.00 61.67 63.33 63.75 65.01 66.25 66.25 65.43 64.19 62.52 60.86 58.79 55.49 51.77 48.45 43.46 38.48 33.50 28.53 23.22 17.18 8.01 +23.57 23.99 23.46 22.68 21.61 20.56 19.00 18.20 17.69 16.18 14.73 13.91 12.98 12.15 11.79 11.93 12.15 11.93 12.72 13.08 13.02 14.14 14.73 15.33 15.37 15.37 15.42 15.15 15.47 15.66 15.02 14.55 14.19 14.64 15.69 16.60 17.18 17.89 18.15 18.03 18.50 19.00 19.00 19.00 19.00 19.00 18.50 18.03 17.73 18.28 19.27 19.76 20.03 19.81 20.28 21.45 21.92 22.18 23.35 24.62 25.01 25.00 25.42 26.28 27.11 27.94 28.38 28.44 28.53 28.64 28.77 28.93 29.11 29.02 28.73 28.48 29.02 29.87 30.76 30.44 29.73 30.05 30.52 31.00 30.92 30.33 30.33 30.78 29.61 28.44 27.85 27.27 26.68 26.25 25.89 25.44 24.87 24.16 23.15 22.36 21.45 20.90 21.12 21.08 20.56 19.81 19.61 19.12 18.98 19.24 18.79 18.33 18.41 18.50 19.00 18.98 18.73 19.94 21.16 21.42 21.29 22.40 24.42 24.62 25.58 27.59 28.24 29.52 30.05 31.43 32.36 32.06 33.13 33.88 34.65 34.61 34.59 35.00 34.17 34.59 34.61 33.77 33.75 33.33 33.33 32.92 31.68 31.68 31.27 30.05 29.66 28.53 27.95 27.80 27.49 27.19 26.35 26.39 26.70 26.28 26.09 26.47 27.30 27.62 28.67 29.75 30.26 30.73 31.84 33.61 34.18 33.63 34.30 34.42 34.10 34.32 34.16 34.10 33.81 33.73 33.67 34.06 34.71 35.01 35.25 35.96 36.79 36.92 37.42 38.48 39.07 38.63 38.63 39.73 40.28 39.62 39.62 39.62 39.02 39.27 39.80 39.83 39.92 40.73 41.23 41.35 41.85 42.82 43.64 43.84 44.19 44.91 45.38 45.84 46.57 47.39 47.86 47.50 47.14 47.14 47.61 48.23 47.74 47.07 46.60 46.49 46.42 45.34 44.28 43.26 42.57 41.18 40.07 39.59 38.16 37.68 36.77 35.48 35.40 35.36 34.20 33.08 33.26 33.33 33.42 32.94 31.78 31.32 30.62 31.10 31.00 29.67 29.61 28.90 27.72 27.80 27.34 26.01 26.31 26.65 26.93 27.94 29.02 29.82 30.42 30.73 31.23 32.04 33.05 34.36 35.67 36.64 37.17 37.99 38.77 39.62 40.28 40.28 40.28 40.99 40.99 40.07 40.25 40.44 40.28 39.73 38.63 37.86 36.77 35.90 35.36 34.28 33.50 33.05 31.96 30.87 30.10 29.66 28.90 28.14 27.77 27.04 26.73 27.04 27.04 26.93 26.75 26.09 26.54 26.52 26.52 26.52 26.52 26.54 26.03 26.84 26.84 26.25 26.35 26.46 26.73 25.44 25.44 25.44 24.04 24.04 23.46 21.73 20.01 18.03 17.45 16.18 14.19 12.98 11.20 10.02 8.33 7.45 6.90 5.80 4.60 4.25 4.49 4.75 4.71 5.43 5.59 6.15 7.45 7.45 6.90 6.59 5.80 5.59 5.03 3.00 2.95 2.64 3.00 4.12 6.01 8.98 10.54 12.13 13.74 14.87 15.21 15.69 15.37 14.06 13.57 11.93 10.31 8.44 6.01 3.73 3.73 6.01 10.02 13.57 15.69 18.63 21.92 25.22 28.07 30.10 31.77 33.43 35.54 38.03 39.64 40.47 41.74 42.13 42.53 44.20 44.20 42.53 42.10 41.67 40.44 39.60 37.92 35.00 32.50 30.00 27.50 25.00 21.67 19.59 17.13 14.26 12.61 10.96 8.99 7.66 6.72 5.92 5.92 5.03 4.49 4.75 4.60 3.77 3.33 3.77 4.75 5.07 5.27 6.01 6.01 6.51 7.68 9.01 10.44 11.93 14.24 15.81 17.40 19.81 20.92 22.40 23.57 24.04 25.83 27.13 28.29 28.17 28.53 30.18 30.18 30.56 30.49 31.32 31.77 32.15 33.37 33.37 33.37 35.04 36.70 36.70 37.94 39.59 41.67 42.50 43.33 45.00 45.83 47.50 49.17 50.42 52.10 54.60 54.58 55.42 58.34 59.58 60.00 61.67 63.33 63.33 65.00 66.67 65.42 65.01 64.58 62.08 60.43 58.36 55.03 51.69 47.96 43.41 38.41 33.05 28.53 22.40 17.18 8.76 +21.92 22.67 22.40 21.61 20.56 19.00 17.99 17.69 16.18 14.73 13.81 12.98 12.09 11.79 11.44 10.82 11.18 11.01 11.33 12.43 13.02 14.14 14.14 14.14 14.15 14.78 14.92 14.58 14.17 14.35 14.24 14.06 14.59 15.09 15.37 15.81 16.41 17.16 17.58 18.03 18.50 19.00 19.00 19.00 19.00 19.00 18.50 18.03 18.15 19.02 19.59 19.51 19.24 19.52 20.11 20.76 21.58 22.28 23.47 24.22 24.18 24.59 25.00 25.42 26.25 26.68 26.72 26.78 26.87 27.34 27.95 27.80 27.49 27.94 28.48 28.48 28.24 28.14 29.15 29.59 29.47 29.26 29.26 30.33 30.78 29.61 28.97 29.52 29.56 28.97 27.85 27.85 27.34 26.25 25.09 24.04 24.04 24.04 23.15 22.36 21.80 20.90 20.82 21.08 21.08 20.62 20.11 19.30 18.87 19.24 19.24 19.59 20.07 20.16 20.62 20.32 20.29 21.25 20.88 20.92 21.34 22.40 24.27 24.42 25.31 27.04 27.59 28.48 29.26 30.62 31.23 31.05 32.06 33.13 33.43 33.34 33.75 34.61 34.21 33.81 34.26 34.65 34.21 33.37 33.37 33.37 32.11 31.68 31.68 30.42 30.00 29.59 29.21 28.07 27.34 27.47 26.80 26.17 26.39 26.35 25.61 26.70 27.59 27.04 28.17 29.15 29.47 29.94 31.00 32.09 32.60 33.05 33.59 33.67 33.26 33.42 33.75 33.75 32.83 32.43 32.74 33.36 33.50 33.34 33.96 35.00 35.98 36.64 36.89 37.17 38.30 39.18 38.63 38.63 39.73 39.39 38.85 39.07 39.02 39.00 39.55 39.83 39.41 39.73 40.73 40.86 40.55 41.03 42.20 43.37 43.72 43.62 44.08 44.91 45.28 45.28 45.74 46.67 47.14 47.14 46.79 46.58 46.58 46.42 45.98 45.39 45.07 44.28 43.56 42.57 41.74 41.20 40.31 39.76 38.27 37.29 36.58 35.40 35.36 34.89 33.77 33.26 33.42 32.94 33.17 32.73 31.45 31.45 30.05 30.05 30.05 28.58 28.38 28.29 27.13 26.62 26.75 25.44 25.17 25.73 26.35 27.19 27.99 28.80 29.42 30.24 31.05 31.87 32.86 33.67 34.36 35.32 36.89 38.48 38.77 38.85 39.73 40.28 40.28 40.99 40.99 40.44 40.25 39.88 39.32 38.77 38.21 37.46 36.55 35.67 34.91 33.81 33.05 32.83 32.28 31.19 30.42 30.01 29.26 28.33 27.44 26.87 27.16 26.93 26.25 26.09 26.03 25.99 26.52 26.52 26.52 26.54 25.99 26.03 26.75 26.84 26.84 26.93 26.46 26.59 27.16 26.46 26.01 25.44 24.16 23.72 23.15 22.44 21.03 19.08 18.61 16.67 14.78 13.60 11.79 11.21 9.59 8.01 7.45 6.90 5.56 5.07 4.75 4.29 4.71 4.75 5.59 6.90 6.90 6.59 6.07 6.07 6.59 5.59 4.29 3.58 3.54 2.12 2.43 3.54 5.80 8.19 10.02 12.13 13.74 15.37 15.69 15.21 15.21 14.73 13.44 11.79 10.14 7.68 5.27 2.36 2.36 5.80 9.50 13.08 16.38 18.98 21.92 25.22 27.24 29.66 31.71 33.81 36.37 37.20 38.81 40.87 41.70 42.13 42.57 43.37 43.75 42.92 41.67 41.25 40.83 39.17 37.09 34.61 32.54 30.05 27.55 25.06 21.73 18.87 16.51 14.55 12.94 11.07 9.32 7.86 7.10 6.51 6.01 5.59 5.56 5.89 5.56 5.07 5.00 5.00 5.43 5.89 5.80 6.15 6.72 7.10 7.75 8.58 9.88 12.15 13.97 15.57 17.49 19.12 21.25 23.22 23.57 23.93 25.50 26.72 27.99 28.44 28.83 30.05 30.05 31.27 31.25 30.42 31.68 32.92 33.33 33.33 33.75 35.01 36.68 37.10 38.37 40.03 41.27 42.51 43.34 45.01 46.27 47.53 49.19 50.86 52.53 53.76 54.17 56.26 57.93 58.75 60.00 61.67 63.33 63.33 65.00 66.67 65.00 64.58 64.60 62.10 60.01 57.93 55.03 51.69 47.13 43.41 38.41 32.22 28.53 21.92 16.68 9.15 +21.92 22.67 22.15 21.35 20.32 19.12 18.80 17.81 15.92 14.64 13.76 12.92 12.09 11.44 10.82 10.54 11.18 11.44 11.33 11.84 12.39 13.55 14.14 14.14 13.60 14.25 14.34 13.87 13.60 14.01 14.24 13.91 14.17 14.26 15.06 15.81 16.41 17.16 17.58 18.03 18.50 19.00 19.00 19.00 19.00 19.00 18.50 18.61 19.30 18.87 17.89 17.73 18.19 18.98 19.52 20.62 21.74 21.92 21.92 22.18 23.39 24.62 25.00 25.42 25.83 25.45 25.06 25.50 26.41 26.52 25.99 26.17 26.68 27.14 27.70 27.47 27.04 27.04 27.74 28.20 28.67 29.17 28.58 28.97 29.49 28.90 28.31 28.34 28.93 28.90 27.16 26.62 26.68 26.09 25.00 24.04 24.04 24.04 23.15 22.36 22.36 21.67 21.08 21.08 21.08 20.62 20.92 21.74 21.35 20.90 21.29 21.68 21.73 21.81 21.74 21.42 21.87 21.67 20.69 21.73 22.67 23.10 24.17 24.27 25.09 26.73 27.04 27.59 28.48 29.53 29.92 30.08 30.76 31.84 31.71 32.09 33.33 33.34 33.43 33.50 34.33 34.79 34.06 33.71 33.71 33.71 33.23 32.30 32.22 31.32 30.44 30.42 30.00 28.33 27.92 27.94 27.16 26.87 26.65 26.80 25.87 26.62 27.67 26.93 27.80 28.90 29.07 29.87 30.87 31.90 32.84 33.26 32.49 32.41 33.05 33.26 33.42 32.73 31.87 32.50 32.69 32.20 31.84 32.09 33.05 33.71 34.36 35.32 36.10 36.14 36.44 37.86 38.41 38.08 38.41 38.41 38.30 38.77 39.02 38.48 38.52 39.32 39.11 38.41 39.23 40.37 40.55 40.55 40.78 41.60 42.07 42.33 43.16 43.62 43.99 44.45 44.45 44.91 45.49 45.49 45.62 45.77 45.43 44.97 44.88 44.82 44.28 43.56 43.11 42.49 41.77 40.73 39.76 39.33 38.46 37.73 36.54 35.36 35.53 35.08 34.00 32.94 33.17 32.73 32.87 32.87 31.45 31.45 30.05 30.05 29.94 28.44 27.75 27.11 26.54 26.03 25.67 25.58 25.53 25.85 26.10 26.17 26.98 27.80 28.77 30.41 31.72 32.54 33.50 33.99 34.67 35.89 36.64 37.17 37.76 38.30 39.39 40.28 40.07 40.25 40.25 40.25 40.25 39.69 38.95 37.83 37.27 37.27 36.35 35.04 33.73 32.83 32.62 31.87 31.31 30.76 29.81 28.90 28.33 28.58 27.87 26.73 26.93 26.75 26.09 26.03 25.99 25.93 25.93 25.93 25.99 26.03 26.03 26.09 26.84 26.84 26.84 27.51 27.62 27.04 27.04 27.16 26.73 25.44 24.87 24.45 23.15 22.44 21.03 19.76 19.18 17.18 15.95 14.78 12.37 11.21 10.09 8.44 7.45 7.45 6.87 6.26 5.43 4.75 4.75 5.30 6.51 7.29 6.15 5.80 6.59 6.90 6.90 5.59 4.75 4.71 3.58 2.50 2.64 3.58 6.07 7.38 9.50 11.93 13.57 15.21 16.03 15.21 15.21 15.21 13.57 11.93 10.31 8.19 5.27 2.36 2.36 6.07 9.81 12.75 16.38 19.24 21.73 25.06 27.16 29.27 31.77 34.26 36.31 37.14 38.41 40.47 41.70 42.53 42.10 42.09 43.33 43.33 41.67 40.42 40.44 39.20 36.31 33.88 32.67 30.18 27.34 25.01 22.24 19.00 16.60 14.78 13.79 11.58 10.09 9.43 8.27 7.10 6.15 6.59 6.72 6.37 6.07 6.26 6.67 6.67 6.26 5.56 5.59 5.59 6.01 7.07 8.33 9.15 9.52 12.13 13.74 15.37 18.15 18.87 20.52 23.10 23.93 25.06 26.25 26.67 27.50 28.33 29.59 30.44 30.05 31.27 31.68 30.44 31.71 33.37 33.37 33.37 34.65 35.09 36.31 37.97 38.86 40.14 40.52 42.13 43.37 45.03 46.70 47.96 49.67 50.50 52.12 53.36 54.62 56.72 57.12 58.36 60.02 61.69 62.93 63.34 65.01 66.25 65.00 63.75 63.76 62.52 60.02 57.52 54.62 51.33 47.17 43.41 38.03 31.84 28.17 22.06 16.37 8.44 +23.10 22.95 21.93 20.62 19.30 18.63 18.30 17.21 16.26 15.42 14.59 13.36 12.15 11.62 11.07 10.29 10.44 11.44 11.92 11.80 11.79 12.37 13.55 14.14 13.02 13.08 13.76 14.01 13.79 13.46 13.97 14.64 15.00 15.09 15.57 15.81 16.41 17.16 17.58 18.03 18.50 18.42 18.35 18.35 18.35 18.35 17.83 18.42 18.50 17.58 17.73 18.08 18.49 19.27 19.76 20.56 20.62 20.76 21.58 22.28 23.10 23.39 23.75 24.62 25.00 25.06 25.06 25.06 25.12 25.01 24.86 25.17 25.58 25.56 26.15 26.28 26.09 26.87 27.74 28.09 28.00 28.50 28.38 28.31 28.90 29.49 28.93 28.34 28.29 28.28 27.13 25.99 25.37 24.81 24.34 23.25 22.77 23.46 23.15 22.36 22.36 21.67 21.08 21.08 21.35 21.42 21.25 21.58 21.81 21.73 21.68 21.68 21.73 21.81 22.06 22.24 22.15 22.14 22.98 24.04 24.16 23.93 24.22 24.76 25.45 26.35 26.15 26.09 26.93 27.94 28.30 28.77 29.82 30.10 30.01 31.25 32.94 32.15 32.22 33.50 33.96 34.06 33.71 33.71 33.71 33.71 33.71 32.88 32.88 32.41 31.47 31.39 30.49 28.78 28.75 28.33 27.92 27.94 27.16 27.24 26.52 27.13 27.80 27.70 28.20 29.02 29.87 30.56 31.32 32.30 32.73 32.47 31.58 32.02 32.46 31.84 31.96 31.68 31.32 31.31 30.58 30.73 31.47 32.09 32.98 33.71 34.36 34.80 35.58 36.92 37.22 37.31 37.86 38.08 38.41 38.63 38.53 38.23 38.48 38.48 38.01 38.01 38.30 38.41 38.24 38.91 40.07 40.55 40.31 40.31 40.78 41.42 41.87 42.33 42.70 42.79 43.16 43.62 43.84 43.84 43.98 44.13 43.97 43.56 43.27 43.48 43.56 43.11 42.49 41.77 41.16 40.11 38.67 38.41 38.31 37.72 36.58 35.60 35.26 34.79 34.45 32.73 32.87 33.02 32.46 32.46 31.16 30.44 29.59 29.59 28.67 27.80 27.75 26.52 25.99 26.09 25.31 25.17 25.39 25.83 26.10 25.99 27.13 28.77 29.82 30.65 31.58 32.06 32.54 33.50 34.49 35.67 36.64 37.17 37.99 38.53 38.63 38.77 39.13 39.51 39.51 39.51 39.34 38.77 38.77 38.21 37.09 36.35 35.22 34.49 33.54 32.62 32.24 31.50 30.37 29.63 29.30 28.58 27.44 27.74 27.62 26.35 26.09 26.03 26.03 26.03 26.54 26.52 25.93 25.99 26.03 26.03 26.03 26.75 26.84 26.84 26.93 27.04 27.74 27.16 26.73 26.87 26.87 25.44 25.44 25.44 24.04 23.46 21.61 20.34 19.67 17.77 16.59 15.37 13.55 11.80 10.67 9.59 8.01 7.45 6.59 5.43 5.00 5.07 5.59 6.51 6.48 6.59 6.01 6.01 7.45 7.45 6.15 5.59 5.43 4.71 3.73 3.33 3.17 4.17 6.15 7.66 9.81 11.79 13.44 15.09 15.56 15.21 15.21 15.21 13.91 11.79 10.14 8.50 5.27 2.36 2.36 6.07 10.14 12.61 15.92 19.24 21.73 25.06 27.55 29.21 31.71 34.21 35.44 37.51 38.77 40.03 41.27 42.09 41.67 41.67 42.92 42.93 41.70 40.03 39.64 38.48 36.07 33.96 32.30 29.94 26.80 24.56 22.67 19.51 17.18 14.91 14.01 12.50 10.61 10.03 9.50 9.15 8.70 8.50 8.01 7.68 8.01 8.33 7.93 7.10 6.72 6.87 7.12 6.90 6.72 7.68 8.92 9.72 10.62 12.65 13.74 15.69 18.50 19.33 20.52 22.56 24.62 26.25 26.67 27.09 27.94 28.38 30.05 31.32 30.56 30.56 31.77 31.39 31.84 33.50 33.50 33.96 35.25 35.25 36.07 38.10 39.31 40.14 40.59 41.87 43.53 45.19 46.85 48.51 49.72 50.11 51.77 53.44 55.10 56.76 56.76 58.43 60.09 61.32 62.12 63.36 64.60 65.42 65.00 63.33 63.33 62.08 59.60 57.52 54.19 50.46 47.17 43.46 37.65 31.84 27.34 22.06 16.68 7.45 +11.44 11.74 11.18 10.29 9.52 8.98 8.98 8.50 8.33 8.33 8.01 7.12 6.07 6.72 7.10 6.48 6.51 7.10 9.15 9.32 9.32 9.32 9.88 11.18 9.72 8.92 9.45 9.43 8.84 7.68 7.12 7.93 8.33 8.50 8.76 9.01 10.03 11.21 12.43 13.02 13.08 12.60 13.44 13.44 13.44 13.44 13.29 13.87 12.60 11.92 12.43 11.79 11.80 12.43 12.02 12.02 11.18 11.38 12.15 12.13 12.13 11.79 12.15 12.61 12.50 12.61 12.61 12.61 12.43 12.69 13.24 13.46 14.45 14.34 15.37 16.50 16.50 17.72 19.00 20.34 20.34 21.16 22.18 21.45 21.87 23.15 22.58 22.18 22.36 22.36 20.88 20.32 19.94 17.73 17.58 17.01 14.92 15.42 15.37 14.14 14.14 13.02 12.02 12.02 11.74 11.93 11.38 10.54 10.62 10.96 10.49 10.49 10.96 10.62 11.38 11.93 11.74 13.08 14.78 15.33 15.95 16.67 18.03 19.59 20.69 21.90 21.87 22.74 24.19 25.69 26.87 27.24 28.83 28.78 28.75 30.42 32.11 31.71 31.71 33.37 33.37 33.37 33.37 33.37 33.37 33.37 33.37 32.15 32.22 33.05 31.77 31.77 31.32 29.61 29.59 28.33 28.33 28.33 27.92 27.94 26.72 27.99 28.07 28.17 28.29 28.44 28.93 28.93 29.92 29.31 29.31 29.02 27.67 27.94 26.93 25.17 24.04 23.01 20.76 18.86 17.77 16.59 16.08 16.30 16.75 17.40 18.63 19.44 20.01 21.61 23.10 23.05 23.05 23.05 23.64 23.69 23.10 22.00 21.61 21.73 20.88 20.88 20.69 20.90 20.35 19.52 20.32 21.08 20.62 20.62 20.62 20.28 20.76 21.58 21.74 21.42 21.58 22.24 22.67 22.67 22.68 22.44 23.11 23.88 23.88 25.09 26.03 26.54 27.11 27.80 28.58 29.47 29.02 30.03 31.12 30.76 31.41 31.36 31.10 30.85 31.14 29.53 29.53 30.62 29.31 29.31 28.80 26.39 26.10 26.10 23.46 22.21 22.55 20.88 19.44 18.61 17.18 15.92 14.25 14.01 14.73 14.24 14.25 15.06 15.37 15.37 15.87 16.60 16.60 17.13 17.95 18.63 20.01 21.61 22.67 23.10 23.58 23.57 24.16 25.34 25.34 25.34 25.99 24.78 24.78 24.78 24.19 23.64 22.42 22.42 21.21 20.62 20.63 20.63 20.04 19.48 19.53 19.53 18.94 19.00 19.76 19.30 19.44 19.44 19.44 19.44 20.88 21.80 21.45 21.67 21.67 21.67 21.67 23.21 23.21 23.21 24.25 23.99 24.27 24.27 24.27 24.27 24.27 22.67 22.67 22.67 21.08 21.08 19.51 17.95 17.41 15.56 14.24 12.69 11.18 9.72 8.33 7.75 5.92 4.71 4.12 2.43 1.67 2.43 4.12 4.75 4.29 5.27 5.27 5.27 6.87 6.87 5.27 5.27 5.27 3.73 2.36 1.67 2.36 3.73 5.27 8.01 10.03 11.70 13.36 15.02 15.02 15.02 15.02 15.02 14.59 11.67 10.00 8.33 5.00 1.67 1.67 6.26 10.03 12.09 16.26 19.62 21.73 25.06 27.11 28.75 31.67 34.59 35.01 37.09 39.59 40.01 40.42 41.67 41.67 41.67 42.09 42.10 41.70 40.03 38.81 37.20 36.37 34.65 31.71 28.83 25.58 23.57 21.92 18.63 15.87 13.97 12.39 10.83 8.76 7.45 6.59 5.92 5.43 4.49 4.49 4.49 4.60 5.00 4.75 3.95 3.77 4.49 4.75 4.71 4.71 6.01 8.44 8.70 10.31 13.08 13.44 16.30 18.35 18.79 21.29 22.92 25.00 26.67 26.67 27.92 28.35 28.35 30.01 31.68 31.27 30.05 31.71 31.71 31.71 33.37 33.37 34.65 35.09 35.09 36.37 37.20 38.81 40.03 41.30 41.74 43.41 45.07 46.73 48.40 48.79 50.03 51.69 53.36 55.03 56.69 56.69 58.36 60.02 60.43 61.67 63.34 63.75 65.00 65.00 63.33 63.33 61.67 58.75 57.10 54.60 50.01 45.86 43.41 37.97 31.71 26.72 21.73 16.75 6.87 diff --git a/data/ScottAndBurgan/ValeSousa-asc/scott_and_burgan_lookup_table.csv b/data/ScottAndBurgan/ValeSousa-asc/scott_and_burgan_lookup_table.csv new file mode 100644 index 00000000..d95740e4 --- /dev/null +++ b/data/ScottAndBurgan/ValeSousa-asc/scott_and_burgan_lookup_table.csv @@ -0,0 +1,102 @@ +grid_value,export_value,descriptive_name,fuel_type, r, g, b, h, s, l +1,1,Short grass [1],FM1,207,181,110,44,128,158 +2,2,Timber grass and understory [2],FM2,203,176,100,44,127,152 +3,3,Tall grass [3],FM3,200,171,91,44,127,146 +4,4,Chaparral [4],FM4,197,167,82,44,127,140 +5,5,Brush [5],FM5,194,162,73,44,127,133 +6,6,Dormant brush - hardwood slash [6],FM6,191,157,64,44,127,128 +7,7,Southern rough [7],FM7,182,150,61,44,127,122 +8,8,Short needle litter [8],FM8,173,142,58,44,127,116 +9,9,Long needle or hardwood litter [9],FM9,164,135,55,44,127,110 +10,10,Timber litter & understory [10],FM10,155,127,52,44,127,104 +11,11,Light logging slash [11],FM11,155,127,52,44,127,104 +12,12,Medium logging slash [12],FM12,155,127,52,44,127,104 +13,13,Heavy logging slash [13],FM13,155,127,52,44,127,104 +91,91,Urban - developed [91],NB1,120,120,120,0,0,120 +92,92,Snow - ice [92],NB2,225,235,245,210,128,235 +93,93,Agricultural [93],NB3,222,214,160,52,124,191 +94,94,Future standard non-burnable [94],NB4,150,150,150,0,0,150 +95,95,Future standard non-burnable [95],NB5,170,170,170,0,0,170 +98,98,Open water [98],NB8,52,110,190,215,145,121 +99,99,Bare ground [99],NB9,160,158,152,45,10,156 +101,101,Short - sparse - dry climate grass (D),GR1,239,236,128,58,198,184 +102,102,Low load - dry climate grass (D),GR2,238,233,114,58,200,176 +103,103,Low load - very coarse - humid climate grass (D),GR3,236,231,101,58,199,168 +104,104,Moderate load - dry climate grass (D),GR4,234,229,87,58,198,160 +105,105,Low load - humid climate grass (D),GR5,233,227,73,58,200,153 +106,106,Moderate load - humid climate grass (D),GR6,231,225,60,58,199,146 +107,107,High load - dry climate grass (D),GR7,229,223,46,58,199,138 +108,108,High load - very coarse - humid climate grass (D),GR8,228,221,33,58,200,131 +109,109,Very high load - humid climate grass (D),GR9,218,212,27,58,199,122 +110,110,Short Gass - < 0.5 m (Dynamic),V-Hb,101,145,70,95,89,108 +111,111,Tall Grass - > 0.5 m (Dynamic),V-Ha,96,137,66,95,89,102 +121,121,Low load - dry climate grass-shrub (D),GS1,183,209,97,74,140,153 +122,122,Moderate load - dry climate grass-shrub (D),GS2,178,206,85,74,141,146 +123,123,Moderate load - humid climate grass-shrub (D),GS3,172,202,73,74,140,138 +124,124,High load - humid climate grass-shrub (D),GS4,167,199,61,74,141,130 +141,141,Low load - dry climate shrub (D),SH1,120,164,70,88,102,117 +142,142,Moderate load - dry climate shrub (S),SH2,114,155,66,88,103,110 +143,143,Moderate load - humid climate shrub (S),SH3,107,146,62,88,103,104 +144,144,Low load - humid climate timber-shrub (S),SH4,100,136,58,88,103,97 +145,145,High load - dry climate shrub (S),SH5,93,127,54,88,103,90 +146,146,Low load - humid climate shrub (S),SH6,86,118,50,88,103,84 +147,147,Very high load - dry climate shrub (S),SH7,80,109,47,88,101,78 +148,148,High load - humid climate shrub (S),SH8,73,99,43,88,101,71 +149,149,Very high load - humid climate shrub (D),SH9,66,90,39,88,101,64 +150,150,Chamise with Moderate Load Grass - 4 feet (Static),SCAL17,185,128,70,30,115,128 +151,151,Chamise with Low Load Grass - 3 feet (Static),SCAL15,174,120,66,30,115,120 +152,152,North Slope Ceanothus with Moderate Load Grass (Static),SCAL16,163,112,62,30,114,112 +153,153,Manzanita/Scrub Oak with Low Load Grass (Static),SCAL14,152,105,58,30,114,105 +154,154,Coastal Sage/Buckwheat Scrub with Low Load Grass (Static),SCAL18,141,97,53,30,116,97 +155,155,Short Green Shrub < 1 m With Grass - Discontinuous (< 1 m) often discontinuous and with grass (Dynamic),V-MH,53,76,37,95,88,56 +156,156,Short Shrub < 1 m - Low Dead Fraction and/or Thick Foliage (Static),V-MMb,53,76,37,95,88,56 +157,157,Short Shrub < 1 m - High Dead Fraction and/or Thin Fuel (Static),V-MAb,53,76,37,95,88,56 +158,158,Tall Shrub > 1 m - Low Dead Fraction and/or Thick Foliage (Static),V-MMa,53,76,37,95,88,56 +159,159,Tall Shrub > 1 m - High Dead Fraction and/or Thin Fuel (Static),V-MAa,53,76,37,95,88,56 +161,161,Light load - dry climate timber-grass-shrub (D),TU1,62,152,74,128,107,107 +162,162,Moderate load - humid climate timber-shrub (S),TU2,58,141,69,128,106,100 +163,163,Moderate load - humid climate timber-grass-shrub (D),TU3,53,130,64,129,107,92 +164,164,Dwarf conifer understory (S),TU4,49,119,58,128,106,84 +165,165,Very high load - dry climate timber-shrub (S),TU5,44,109,53,128,108,76 +166,166,Discontinuous Litter Eucalyptus Plantation - With or Without Shrub Understory (Static),M-EUCd,82,126,68,106,76,97 +167,167,Deciduous or Conifer Litter - Shrub and Herb Understory,M-H,78,119,64,105,77,92 +168,168,Deciduous or Conifer Litter - Shrub and Fern Understory (Dynamic),M-F,73,111,60,105,76,86 +169,169,Deciduous Litter - Shrub Understory (Static),M-CAD,68,104,56,105,76,80 +170,170,Sclerophyll Broadleaf Litter - Shrub Understory (Static),M-ESC,63,97,52,105,77,74 +171,171,Medium-Long Needle Pine Litter - Shrub Understory (Static),M-PIN,59,90,48,104,78,69 +172,172,Eucalyptus Litter - Shrub Understory (Static),M-EUC,54,82,44,104,77,63 +181,181,Low load - compact conifer litter (S),TL1,152,104,62,28,107,107 +182,182,Low load broadleaf litter (S),TL2,143,98,58,28,108,100 +183,183,Moderate load conifer litter (S),TL3,133,91,54,28,108,94 +184,184,Small downed logs (S),TL4,124,85,51,28,106,88 +185,185,High load conifer litter (S),TL5,114,78,47,28,106,80 +186,186,High load broadleaf litter (S),TL6,105,72,43,28,107,74 +187,187,Large downed logs (S),TL7,96,65,39,27,108,68 +188,188,Long-needle litter (S),TL8,86,59,35,28,107,61 +189,189,Very high load broadleaf litter (S),TL9,77,53,31,29,109,54 +190,190,Very Compact Litter - Short Needle Conifers (Static),F-RAC,120,78,54,22,97,87 +191,191,Compact Litter - Deciduous or Evergreen Foliage (Static),F-FOL,110,72,50,22,96,80 +192,192,Litter from Medium-Long Needle Pine Trees (Static),F-PIN,101,66,46,22,95,74 +193,193,Pure Eucalyptus Litter - No Understory (Static),F-EUC,92,60,41,22,98,66 +201,201,Low load activity fuel (S),SB1,141,71,53,12,116,97 +202,202,Moderate load activity or low load blowdown (S),SB2,129,65,49,12,115,89 +203,203,High load activity fuel or moderate load blowdown (S),SB3,117,59,44,12,116,80 +204,204,High load blowdown (S),SB4,105,53,40,12,114,72 +211,211,Conifers with short leave with 4 to 6 tonha of shrubs,PT211,80,165,108,140,88,122 +212,212,Hardwoods shrubs 2 to 5,PT212,77,159,104,140,89,118 +213,213,Pine trees w shrubs 4 to 7,PT213,74,153,100,140,89,114 +214,214,Eucalypt shrubs 4 to 6 ton,PT214,71,147,96,140,89,109 +221,221,hardwoods with shrubs 8 to 17,PT221,53,109,72,140,88,81 +222,222,holm and cork oak shrubs 7 to 17,PT222,53,109,72,140,88,81 +223,223,Young stands of eucalyptus,PT223,53,109,72,140,88,81 +224,224,Other forest stands with shrubs 6 to 9 ton of shrubs,PT224,53,109,72,140,88,81 +225,225,Pines with shrubs 8 to 18 ton of shrub load,PT225,53,109,72,140,88,81 +226,226,Other forest stands with shrubs 2 to 5 ton of shrubs,PT226,53,109,72,140,88,81 +227,227,Eucalypt shrubs 9 to 18 ton,PT227,53,109,72,140,88,81 +231,231,Low shrubs (<1m) load 4 to 8 ton,PT231,53,109,72,140,88,81 +232,232,High shrubs (>1m) load 10 to 19 ton,PT232,53,109,72,140,88,81 +233,233,Low grass (<0.5m),PT233,53,109,72,140,88,81 +234,234,Tall grass (>0.5m),PT234,53,109,72,140,88,81 +235,235,Young shrubs (max 3 years),PT235,53,109,72,140,88,81 +236,236,Low shrubs (<1m) load 7 to 14 ton,PT236,53,109,72,140,88,81 +237,237,High shrubs (>1m) load 12 to 27 ton,PT237,53,109,72,140,88,81 diff --git a/data/ScottAndBurgan/Vilopriu_2013-asc/scott_and_burgan_lookup_table.csv b/data/ScottAndBurgan/Vilopriu_2013-asc/scott_and_burgan_lookup_table.csv new file mode 100644 index 00000000..d95740e4 --- /dev/null +++ b/data/ScottAndBurgan/Vilopriu_2013-asc/scott_and_burgan_lookup_table.csv @@ -0,0 +1,102 @@ +grid_value,export_value,descriptive_name,fuel_type, r, g, b, h, s, l +1,1,Short grass [1],FM1,207,181,110,44,128,158 +2,2,Timber grass and understory [2],FM2,203,176,100,44,127,152 +3,3,Tall grass [3],FM3,200,171,91,44,127,146 +4,4,Chaparral [4],FM4,197,167,82,44,127,140 +5,5,Brush [5],FM5,194,162,73,44,127,133 +6,6,Dormant brush - hardwood slash [6],FM6,191,157,64,44,127,128 +7,7,Southern rough [7],FM7,182,150,61,44,127,122 +8,8,Short needle litter [8],FM8,173,142,58,44,127,116 +9,9,Long needle or hardwood litter [9],FM9,164,135,55,44,127,110 +10,10,Timber litter & understory [10],FM10,155,127,52,44,127,104 +11,11,Light logging slash [11],FM11,155,127,52,44,127,104 +12,12,Medium logging slash [12],FM12,155,127,52,44,127,104 +13,13,Heavy logging slash [13],FM13,155,127,52,44,127,104 +91,91,Urban - developed [91],NB1,120,120,120,0,0,120 +92,92,Snow - ice [92],NB2,225,235,245,210,128,235 +93,93,Agricultural [93],NB3,222,214,160,52,124,191 +94,94,Future standard non-burnable [94],NB4,150,150,150,0,0,150 +95,95,Future standard non-burnable [95],NB5,170,170,170,0,0,170 +98,98,Open water [98],NB8,52,110,190,215,145,121 +99,99,Bare ground [99],NB9,160,158,152,45,10,156 +101,101,Short - sparse - dry climate grass (D),GR1,239,236,128,58,198,184 +102,102,Low load - dry climate grass (D),GR2,238,233,114,58,200,176 +103,103,Low load - very coarse - humid climate grass (D),GR3,236,231,101,58,199,168 +104,104,Moderate load - dry climate grass (D),GR4,234,229,87,58,198,160 +105,105,Low load - humid climate grass (D),GR5,233,227,73,58,200,153 +106,106,Moderate load - humid climate grass (D),GR6,231,225,60,58,199,146 +107,107,High load - dry climate grass (D),GR7,229,223,46,58,199,138 +108,108,High load - very coarse - humid climate grass (D),GR8,228,221,33,58,200,131 +109,109,Very high load - humid climate grass (D),GR9,218,212,27,58,199,122 +110,110,Short Gass - < 0.5 m (Dynamic),V-Hb,101,145,70,95,89,108 +111,111,Tall Grass - > 0.5 m (Dynamic),V-Ha,96,137,66,95,89,102 +121,121,Low load - dry climate grass-shrub (D),GS1,183,209,97,74,140,153 +122,122,Moderate load - dry climate grass-shrub (D),GS2,178,206,85,74,141,146 +123,123,Moderate load - humid climate grass-shrub (D),GS3,172,202,73,74,140,138 +124,124,High load - humid climate grass-shrub (D),GS4,167,199,61,74,141,130 +141,141,Low load - dry climate shrub (D),SH1,120,164,70,88,102,117 +142,142,Moderate load - dry climate shrub (S),SH2,114,155,66,88,103,110 +143,143,Moderate load - humid climate shrub (S),SH3,107,146,62,88,103,104 +144,144,Low load - humid climate timber-shrub (S),SH4,100,136,58,88,103,97 +145,145,High load - dry climate shrub (S),SH5,93,127,54,88,103,90 +146,146,Low load - humid climate shrub (S),SH6,86,118,50,88,103,84 +147,147,Very high load - dry climate shrub (S),SH7,80,109,47,88,101,78 +148,148,High load - humid climate shrub (S),SH8,73,99,43,88,101,71 +149,149,Very high load - humid climate shrub (D),SH9,66,90,39,88,101,64 +150,150,Chamise with Moderate Load Grass - 4 feet (Static),SCAL17,185,128,70,30,115,128 +151,151,Chamise with Low Load Grass - 3 feet (Static),SCAL15,174,120,66,30,115,120 +152,152,North Slope Ceanothus with Moderate Load Grass (Static),SCAL16,163,112,62,30,114,112 +153,153,Manzanita/Scrub Oak with Low Load Grass (Static),SCAL14,152,105,58,30,114,105 +154,154,Coastal Sage/Buckwheat Scrub with Low Load Grass (Static),SCAL18,141,97,53,30,116,97 +155,155,Short Green Shrub < 1 m With Grass - Discontinuous (< 1 m) often discontinuous and with grass (Dynamic),V-MH,53,76,37,95,88,56 +156,156,Short Shrub < 1 m - Low Dead Fraction and/or Thick Foliage (Static),V-MMb,53,76,37,95,88,56 +157,157,Short Shrub < 1 m - High Dead Fraction and/or Thin Fuel (Static),V-MAb,53,76,37,95,88,56 +158,158,Tall Shrub > 1 m - Low Dead Fraction and/or Thick Foliage (Static),V-MMa,53,76,37,95,88,56 +159,159,Tall Shrub > 1 m - High Dead Fraction and/or Thin Fuel (Static),V-MAa,53,76,37,95,88,56 +161,161,Light load - dry climate timber-grass-shrub (D),TU1,62,152,74,128,107,107 +162,162,Moderate load - humid climate timber-shrub (S),TU2,58,141,69,128,106,100 +163,163,Moderate load - humid climate timber-grass-shrub (D),TU3,53,130,64,129,107,92 +164,164,Dwarf conifer understory (S),TU4,49,119,58,128,106,84 +165,165,Very high load - dry climate timber-shrub (S),TU5,44,109,53,128,108,76 +166,166,Discontinuous Litter Eucalyptus Plantation - With or Without Shrub Understory (Static),M-EUCd,82,126,68,106,76,97 +167,167,Deciduous or Conifer Litter - Shrub and Herb Understory,M-H,78,119,64,105,77,92 +168,168,Deciduous or Conifer Litter - Shrub and Fern Understory (Dynamic),M-F,73,111,60,105,76,86 +169,169,Deciduous Litter - Shrub Understory (Static),M-CAD,68,104,56,105,76,80 +170,170,Sclerophyll Broadleaf Litter - Shrub Understory (Static),M-ESC,63,97,52,105,77,74 +171,171,Medium-Long Needle Pine Litter - Shrub Understory (Static),M-PIN,59,90,48,104,78,69 +172,172,Eucalyptus Litter - Shrub Understory (Static),M-EUC,54,82,44,104,77,63 +181,181,Low load - compact conifer litter (S),TL1,152,104,62,28,107,107 +182,182,Low load broadleaf litter (S),TL2,143,98,58,28,108,100 +183,183,Moderate load conifer litter (S),TL3,133,91,54,28,108,94 +184,184,Small downed logs (S),TL4,124,85,51,28,106,88 +185,185,High load conifer litter (S),TL5,114,78,47,28,106,80 +186,186,High load broadleaf litter (S),TL6,105,72,43,28,107,74 +187,187,Large downed logs (S),TL7,96,65,39,27,108,68 +188,188,Long-needle litter (S),TL8,86,59,35,28,107,61 +189,189,Very high load broadleaf litter (S),TL9,77,53,31,29,109,54 +190,190,Very Compact Litter - Short Needle Conifers (Static),F-RAC,120,78,54,22,97,87 +191,191,Compact Litter - Deciduous or Evergreen Foliage (Static),F-FOL,110,72,50,22,96,80 +192,192,Litter from Medium-Long Needle Pine Trees (Static),F-PIN,101,66,46,22,95,74 +193,193,Pure Eucalyptus Litter - No Understory (Static),F-EUC,92,60,41,22,98,66 +201,201,Low load activity fuel (S),SB1,141,71,53,12,116,97 +202,202,Moderate load activity or low load blowdown (S),SB2,129,65,49,12,115,89 +203,203,High load activity fuel or moderate load blowdown (S),SB3,117,59,44,12,116,80 +204,204,High load blowdown (S),SB4,105,53,40,12,114,72 +211,211,Conifers with short leave with 4 to 6 tonha of shrubs,PT211,80,165,108,140,88,122 +212,212,Hardwoods shrubs 2 to 5,PT212,77,159,104,140,89,118 +213,213,Pine trees w shrubs 4 to 7,PT213,74,153,100,140,89,114 +214,214,Eucalypt shrubs 4 to 6 ton,PT214,71,147,96,140,89,109 +221,221,hardwoods with shrubs 8 to 17,PT221,53,109,72,140,88,81 +222,222,holm and cork oak shrubs 7 to 17,PT222,53,109,72,140,88,81 +223,223,Young stands of eucalyptus,PT223,53,109,72,140,88,81 +224,224,Other forest stands with shrubs 6 to 9 ton of shrubs,PT224,53,109,72,140,88,81 +225,225,Pines with shrubs 8 to 18 ton of shrub load,PT225,53,109,72,140,88,81 +226,226,Other forest stands with shrubs 2 to 5 ton of shrubs,PT226,53,109,72,140,88,81 +227,227,Eucalypt shrubs 9 to 18 ton,PT227,53,109,72,140,88,81 +231,231,Low shrubs (<1m) load 4 to 8 ton,PT231,53,109,72,140,88,81 +232,232,High shrubs (>1m) load 10 to 19 ton,PT232,53,109,72,140,88,81 +233,233,Low grass (<0.5m),PT233,53,109,72,140,88,81 +234,234,Tall grass (>0.5m),PT234,53,109,72,140,88,81 +235,235,Young shrubs (max 3 years),PT235,53,109,72,140,88,81 +236,236,Low shrubs (<1m) load 7 to 14 ton,PT236,53,109,72,140,88,81 +237,237,High shrubs (>1m) load 12 to 27 ton,PT237,53,109,72,140,88,81 diff --git a/data/ScottAndBurgan/Zona_60-asc/scott_and_burgan_lookup_table.csv b/data/ScottAndBurgan/Zona_60-asc/scott_and_burgan_lookup_table.csv new file mode 100644 index 00000000..d95740e4 --- /dev/null +++ b/data/ScottAndBurgan/Zona_60-asc/scott_and_burgan_lookup_table.csv @@ -0,0 +1,102 @@ +grid_value,export_value,descriptive_name,fuel_type, r, g, b, h, s, l +1,1,Short grass [1],FM1,207,181,110,44,128,158 +2,2,Timber grass and understory [2],FM2,203,176,100,44,127,152 +3,3,Tall grass [3],FM3,200,171,91,44,127,146 +4,4,Chaparral [4],FM4,197,167,82,44,127,140 +5,5,Brush [5],FM5,194,162,73,44,127,133 +6,6,Dormant brush - hardwood slash [6],FM6,191,157,64,44,127,128 +7,7,Southern rough [7],FM7,182,150,61,44,127,122 +8,8,Short needle litter [8],FM8,173,142,58,44,127,116 +9,9,Long needle or hardwood litter [9],FM9,164,135,55,44,127,110 +10,10,Timber litter & understory [10],FM10,155,127,52,44,127,104 +11,11,Light logging slash [11],FM11,155,127,52,44,127,104 +12,12,Medium logging slash [12],FM12,155,127,52,44,127,104 +13,13,Heavy logging slash [13],FM13,155,127,52,44,127,104 +91,91,Urban - developed [91],NB1,120,120,120,0,0,120 +92,92,Snow - ice [92],NB2,225,235,245,210,128,235 +93,93,Agricultural [93],NB3,222,214,160,52,124,191 +94,94,Future standard non-burnable [94],NB4,150,150,150,0,0,150 +95,95,Future standard non-burnable [95],NB5,170,170,170,0,0,170 +98,98,Open water [98],NB8,52,110,190,215,145,121 +99,99,Bare ground [99],NB9,160,158,152,45,10,156 +101,101,Short - sparse - dry climate grass (D),GR1,239,236,128,58,198,184 +102,102,Low load - dry climate grass (D),GR2,238,233,114,58,200,176 +103,103,Low load - very coarse - humid climate grass (D),GR3,236,231,101,58,199,168 +104,104,Moderate load - dry climate grass (D),GR4,234,229,87,58,198,160 +105,105,Low load - humid climate grass (D),GR5,233,227,73,58,200,153 +106,106,Moderate load - humid climate grass (D),GR6,231,225,60,58,199,146 +107,107,High load - dry climate grass (D),GR7,229,223,46,58,199,138 +108,108,High load - very coarse - humid climate grass (D),GR8,228,221,33,58,200,131 +109,109,Very high load - humid climate grass (D),GR9,218,212,27,58,199,122 +110,110,Short Gass - < 0.5 m (Dynamic),V-Hb,101,145,70,95,89,108 +111,111,Tall Grass - > 0.5 m (Dynamic),V-Ha,96,137,66,95,89,102 +121,121,Low load - dry climate grass-shrub (D),GS1,183,209,97,74,140,153 +122,122,Moderate load - dry climate grass-shrub (D),GS2,178,206,85,74,141,146 +123,123,Moderate load - humid climate grass-shrub (D),GS3,172,202,73,74,140,138 +124,124,High load - humid climate grass-shrub (D),GS4,167,199,61,74,141,130 +141,141,Low load - dry climate shrub (D),SH1,120,164,70,88,102,117 +142,142,Moderate load - dry climate shrub (S),SH2,114,155,66,88,103,110 +143,143,Moderate load - humid climate shrub (S),SH3,107,146,62,88,103,104 +144,144,Low load - humid climate timber-shrub (S),SH4,100,136,58,88,103,97 +145,145,High load - dry climate shrub (S),SH5,93,127,54,88,103,90 +146,146,Low load - humid climate shrub (S),SH6,86,118,50,88,103,84 +147,147,Very high load - dry climate shrub (S),SH7,80,109,47,88,101,78 +148,148,High load - humid climate shrub (S),SH8,73,99,43,88,101,71 +149,149,Very high load - humid climate shrub (D),SH9,66,90,39,88,101,64 +150,150,Chamise with Moderate Load Grass - 4 feet (Static),SCAL17,185,128,70,30,115,128 +151,151,Chamise with Low Load Grass - 3 feet (Static),SCAL15,174,120,66,30,115,120 +152,152,North Slope Ceanothus with Moderate Load Grass (Static),SCAL16,163,112,62,30,114,112 +153,153,Manzanita/Scrub Oak with Low Load Grass (Static),SCAL14,152,105,58,30,114,105 +154,154,Coastal Sage/Buckwheat Scrub with Low Load Grass (Static),SCAL18,141,97,53,30,116,97 +155,155,Short Green Shrub < 1 m With Grass - Discontinuous (< 1 m) often discontinuous and with grass (Dynamic),V-MH,53,76,37,95,88,56 +156,156,Short Shrub < 1 m - Low Dead Fraction and/or Thick Foliage (Static),V-MMb,53,76,37,95,88,56 +157,157,Short Shrub < 1 m - High Dead Fraction and/or Thin Fuel (Static),V-MAb,53,76,37,95,88,56 +158,158,Tall Shrub > 1 m - Low Dead Fraction and/or Thick Foliage (Static),V-MMa,53,76,37,95,88,56 +159,159,Tall Shrub > 1 m - High Dead Fraction and/or Thin Fuel (Static),V-MAa,53,76,37,95,88,56 +161,161,Light load - dry climate timber-grass-shrub (D),TU1,62,152,74,128,107,107 +162,162,Moderate load - humid climate timber-shrub (S),TU2,58,141,69,128,106,100 +163,163,Moderate load - humid climate timber-grass-shrub (D),TU3,53,130,64,129,107,92 +164,164,Dwarf conifer understory (S),TU4,49,119,58,128,106,84 +165,165,Very high load - dry climate timber-shrub (S),TU5,44,109,53,128,108,76 +166,166,Discontinuous Litter Eucalyptus Plantation - With or Without Shrub Understory (Static),M-EUCd,82,126,68,106,76,97 +167,167,Deciduous or Conifer Litter - Shrub and Herb Understory,M-H,78,119,64,105,77,92 +168,168,Deciduous or Conifer Litter - Shrub and Fern Understory (Dynamic),M-F,73,111,60,105,76,86 +169,169,Deciduous Litter - Shrub Understory (Static),M-CAD,68,104,56,105,76,80 +170,170,Sclerophyll Broadleaf Litter - Shrub Understory (Static),M-ESC,63,97,52,105,77,74 +171,171,Medium-Long Needle Pine Litter - Shrub Understory (Static),M-PIN,59,90,48,104,78,69 +172,172,Eucalyptus Litter - Shrub Understory (Static),M-EUC,54,82,44,104,77,63 +181,181,Low load - compact conifer litter (S),TL1,152,104,62,28,107,107 +182,182,Low load broadleaf litter (S),TL2,143,98,58,28,108,100 +183,183,Moderate load conifer litter (S),TL3,133,91,54,28,108,94 +184,184,Small downed logs (S),TL4,124,85,51,28,106,88 +185,185,High load conifer litter (S),TL5,114,78,47,28,106,80 +186,186,High load broadleaf litter (S),TL6,105,72,43,28,107,74 +187,187,Large downed logs (S),TL7,96,65,39,27,108,68 +188,188,Long-needle litter (S),TL8,86,59,35,28,107,61 +189,189,Very high load broadleaf litter (S),TL9,77,53,31,29,109,54 +190,190,Very Compact Litter - Short Needle Conifers (Static),F-RAC,120,78,54,22,97,87 +191,191,Compact Litter - Deciduous or Evergreen Foliage (Static),F-FOL,110,72,50,22,96,80 +192,192,Litter from Medium-Long Needle Pine Trees (Static),F-PIN,101,66,46,22,95,74 +193,193,Pure Eucalyptus Litter - No Understory (Static),F-EUC,92,60,41,22,98,66 +201,201,Low load activity fuel (S),SB1,141,71,53,12,116,97 +202,202,Moderate load activity or low load blowdown (S),SB2,129,65,49,12,115,89 +203,203,High load activity fuel or moderate load blowdown (S),SB3,117,59,44,12,116,80 +204,204,High load blowdown (S),SB4,105,53,40,12,114,72 +211,211,Conifers with short leave with 4 to 6 tonha of shrubs,PT211,80,165,108,140,88,122 +212,212,Hardwoods shrubs 2 to 5,PT212,77,159,104,140,89,118 +213,213,Pine trees w shrubs 4 to 7,PT213,74,153,100,140,89,114 +214,214,Eucalypt shrubs 4 to 6 ton,PT214,71,147,96,140,89,109 +221,221,hardwoods with shrubs 8 to 17,PT221,53,109,72,140,88,81 +222,222,holm and cork oak shrubs 7 to 17,PT222,53,109,72,140,88,81 +223,223,Young stands of eucalyptus,PT223,53,109,72,140,88,81 +224,224,Other forest stands with shrubs 6 to 9 ton of shrubs,PT224,53,109,72,140,88,81 +225,225,Pines with shrubs 8 to 18 ton of shrub load,PT225,53,109,72,140,88,81 +226,226,Other forest stands with shrubs 2 to 5 ton of shrubs,PT226,53,109,72,140,88,81 +227,227,Eucalypt shrubs 9 to 18 ton,PT227,53,109,72,140,88,81 +231,231,Low shrubs (<1m) load 4 to 8 ton,PT231,53,109,72,140,88,81 +232,232,High shrubs (>1m) load 10 to 19 ton,PT232,53,109,72,140,88,81 +233,233,Low grass (<0.5m),PT233,53,109,72,140,88,81 +234,234,Tall grass (>0.5m),PT234,53,109,72,140,88,81 +235,235,Young shrubs (max 3 years),PT235,53,109,72,140,88,81 +236,236,Low shrubs (<1m) load 7 to 14 ton,PT236,53,109,72,140,88,81 +237,237,High shrubs (>1m) load 12 to 27 ton,PT237,53,109,72,140,88,81 diff --git a/data/handson/vilo100/scott_and_burgan_lookup_table.csv b/data/handson/vilo100/scott_and_burgan_lookup_table.csv new file mode 100644 index 00000000..d95740e4 --- /dev/null +++ b/data/handson/vilo100/scott_and_burgan_lookup_table.csv @@ -0,0 +1,102 @@ +grid_value,export_value,descriptive_name,fuel_type, r, g, b, h, s, l +1,1,Short grass [1],FM1,207,181,110,44,128,158 +2,2,Timber grass and understory [2],FM2,203,176,100,44,127,152 +3,3,Tall grass [3],FM3,200,171,91,44,127,146 +4,4,Chaparral [4],FM4,197,167,82,44,127,140 +5,5,Brush [5],FM5,194,162,73,44,127,133 +6,6,Dormant brush - hardwood slash [6],FM6,191,157,64,44,127,128 +7,7,Southern rough [7],FM7,182,150,61,44,127,122 +8,8,Short needle litter [8],FM8,173,142,58,44,127,116 +9,9,Long needle or hardwood litter [9],FM9,164,135,55,44,127,110 +10,10,Timber litter & understory [10],FM10,155,127,52,44,127,104 +11,11,Light logging slash [11],FM11,155,127,52,44,127,104 +12,12,Medium logging slash [12],FM12,155,127,52,44,127,104 +13,13,Heavy logging slash [13],FM13,155,127,52,44,127,104 +91,91,Urban - developed [91],NB1,120,120,120,0,0,120 +92,92,Snow - ice [92],NB2,225,235,245,210,128,235 +93,93,Agricultural [93],NB3,222,214,160,52,124,191 +94,94,Future standard non-burnable [94],NB4,150,150,150,0,0,150 +95,95,Future standard non-burnable [95],NB5,170,170,170,0,0,170 +98,98,Open water [98],NB8,52,110,190,215,145,121 +99,99,Bare ground [99],NB9,160,158,152,45,10,156 +101,101,Short - sparse - dry climate grass (D),GR1,239,236,128,58,198,184 +102,102,Low load - dry climate grass (D),GR2,238,233,114,58,200,176 +103,103,Low load - very coarse - humid climate grass (D),GR3,236,231,101,58,199,168 +104,104,Moderate load - dry climate grass (D),GR4,234,229,87,58,198,160 +105,105,Low load - humid climate grass (D),GR5,233,227,73,58,200,153 +106,106,Moderate load - humid climate grass (D),GR6,231,225,60,58,199,146 +107,107,High load - dry climate grass (D),GR7,229,223,46,58,199,138 +108,108,High load - very coarse - humid climate grass (D),GR8,228,221,33,58,200,131 +109,109,Very high load - humid climate grass (D),GR9,218,212,27,58,199,122 +110,110,Short Gass - < 0.5 m (Dynamic),V-Hb,101,145,70,95,89,108 +111,111,Tall Grass - > 0.5 m (Dynamic),V-Ha,96,137,66,95,89,102 +121,121,Low load - dry climate grass-shrub (D),GS1,183,209,97,74,140,153 +122,122,Moderate load - dry climate grass-shrub (D),GS2,178,206,85,74,141,146 +123,123,Moderate load - humid climate grass-shrub (D),GS3,172,202,73,74,140,138 +124,124,High load - humid climate grass-shrub (D),GS4,167,199,61,74,141,130 +141,141,Low load - dry climate shrub (D),SH1,120,164,70,88,102,117 +142,142,Moderate load - dry climate shrub (S),SH2,114,155,66,88,103,110 +143,143,Moderate load - humid climate shrub (S),SH3,107,146,62,88,103,104 +144,144,Low load - humid climate timber-shrub (S),SH4,100,136,58,88,103,97 +145,145,High load - dry climate shrub (S),SH5,93,127,54,88,103,90 +146,146,Low load - humid climate shrub (S),SH6,86,118,50,88,103,84 +147,147,Very high load - dry climate shrub (S),SH7,80,109,47,88,101,78 +148,148,High load - humid climate shrub (S),SH8,73,99,43,88,101,71 +149,149,Very high load - humid climate shrub (D),SH9,66,90,39,88,101,64 +150,150,Chamise with Moderate Load Grass - 4 feet (Static),SCAL17,185,128,70,30,115,128 +151,151,Chamise with Low Load Grass - 3 feet (Static),SCAL15,174,120,66,30,115,120 +152,152,North Slope Ceanothus with Moderate Load Grass (Static),SCAL16,163,112,62,30,114,112 +153,153,Manzanita/Scrub Oak with Low Load Grass (Static),SCAL14,152,105,58,30,114,105 +154,154,Coastal Sage/Buckwheat Scrub with Low Load Grass (Static),SCAL18,141,97,53,30,116,97 +155,155,Short Green Shrub < 1 m With Grass - Discontinuous (< 1 m) often discontinuous and with grass (Dynamic),V-MH,53,76,37,95,88,56 +156,156,Short Shrub < 1 m - Low Dead Fraction and/or Thick Foliage (Static),V-MMb,53,76,37,95,88,56 +157,157,Short Shrub < 1 m - High Dead Fraction and/or Thin Fuel (Static),V-MAb,53,76,37,95,88,56 +158,158,Tall Shrub > 1 m - Low Dead Fraction and/or Thick Foliage (Static),V-MMa,53,76,37,95,88,56 +159,159,Tall Shrub > 1 m - High Dead Fraction and/or Thin Fuel (Static),V-MAa,53,76,37,95,88,56 +161,161,Light load - dry climate timber-grass-shrub (D),TU1,62,152,74,128,107,107 +162,162,Moderate load - humid climate timber-shrub (S),TU2,58,141,69,128,106,100 +163,163,Moderate load - humid climate timber-grass-shrub (D),TU3,53,130,64,129,107,92 +164,164,Dwarf conifer understory (S),TU4,49,119,58,128,106,84 +165,165,Very high load - dry climate timber-shrub (S),TU5,44,109,53,128,108,76 +166,166,Discontinuous Litter Eucalyptus Plantation - With or Without Shrub Understory (Static),M-EUCd,82,126,68,106,76,97 +167,167,Deciduous or Conifer Litter - Shrub and Herb Understory,M-H,78,119,64,105,77,92 +168,168,Deciduous or Conifer Litter - Shrub and Fern Understory (Dynamic),M-F,73,111,60,105,76,86 +169,169,Deciduous Litter - Shrub Understory (Static),M-CAD,68,104,56,105,76,80 +170,170,Sclerophyll Broadleaf Litter - Shrub Understory (Static),M-ESC,63,97,52,105,77,74 +171,171,Medium-Long Needle Pine Litter - Shrub Understory (Static),M-PIN,59,90,48,104,78,69 +172,172,Eucalyptus Litter - Shrub Understory (Static),M-EUC,54,82,44,104,77,63 +181,181,Low load - compact conifer litter (S),TL1,152,104,62,28,107,107 +182,182,Low load broadleaf litter (S),TL2,143,98,58,28,108,100 +183,183,Moderate load conifer litter (S),TL3,133,91,54,28,108,94 +184,184,Small downed logs (S),TL4,124,85,51,28,106,88 +185,185,High load conifer litter (S),TL5,114,78,47,28,106,80 +186,186,High load broadleaf litter (S),TL6,105,72,43,28,107,74 +187,187,Large downed logs (S),TL7,96,65,39,27,108,68 +188,188,Long-needle litter (S),TL8,86,59,35,28,107,61 +189,189,Very high load broadleaf litter (S),TL9,77,53,31,29,109,54 +190,190,Very Compact Litter - Short Needle Conifers (Static),F-RAC,120,78,54,22,97,87 +191,191,Compact Litter - Deciduous or Evergreen Foliage (Static),F-FOL,110,72,50,22,96,80 +192,192,Litter from Medium-Long Needle Pine Trees (Static),F-PIN,101,66,46,22,95,74 +193,193,Pure Eucalyptus Litter - No Understory (Static),F-EUC,92,60,41,22,98,66 +201,201,Low load activity fuel (S),SB1,141,71,53,12,116,97 +202,202,Moderate load activity or low load blowdown (S),SB2,129,65,49,12,115,89 +203,203,High load activity fuel or moderate load blowdown (S),SB3,117,59,44,12,116,80 +204,204,High load blowdown (S),SB4,105,53,40,12,114,72 +211,211,Conifers with short leave with 4 to 6 tonha of shrubs,PT211,80,165,108,140,88,122 +212,212,Hardwoods shrubs 2 to 5,PT212,77,159,104,140,89,118 +213,213,Pine trees w shrubs 4 to 7,PT213,74,153,100,140,89,114 +214,214,Eucalypt shrubs 4 to 6 ton,PT214,71,147,96,140,89,109 +221,221,hardwoods with shrubs 8 to 17,PT221,53,109,72,140,88,81 +222,222,holm and cork oak shrubs 7 to 17,PT222,53,109,72,140,88,81 +223,223,Young stands of eucalyptus,PT223,53,109,72,140,88,81 +224,224,Other forest stands with shrubs 6 to 9 ton of shrubs,PT224,53,109,72,140,88,81 +225,225,Pines with shrubs 8 to 18 ton of shrub load,PT225,53,109,72,140,88,81 +226,226,Other forest stands with shrubs 2 to 5 ton of shrubs,PT226,53,109,72,140,88,81 +227,227,Eucalypt shrubs 9 to 18 ton,PT227,53,109,72,140,88,81 +231,231,Low shrubs (<1m) load 4 to 8 ton,PT231,53,109,72,140,88,81 +232,232,High shrubs (>1m) load 10 to 19 ton,PT232,53,109,72,140,88,81 +233,233,Low grass (<0.5m),PT233,53,109,72,140,88,81 +234,234,Tall grass (>0.5m),PT234,53,109,72,140,88,81 +235,235,Young shrubs (max 3 years),PT235,53,109,72,140,88,81 +236,236,Low shrubs (<1m) load 7 to 14 ton,PT236,53,109,72,140,88,81 +237,237,High shrubs (>1m) load 12 to 27 ton,PT237,53,109,72,140,88,81 diff --git a/test/target_results.zip b/test/target_results.zip index c48d428d..d938636d 100644 Binary files a/test/target_results.zip and b/test/target_results.zip differ diff --git a/test/test.ps1 b/test/test.ps1 index fc65dc1c..a04d0cf7 100644 --- a/test/test.ps1 +++ b/test/test.ps1 @@ -62,6 +62,7 @@ foreach ($format in "asc", "tif") { & $Exe @cmdArgs *> $logFile 2>$null (Get-Content $logFile) -replace '\\', '/' | Set-Content $logFile (Get-Content $logFile | Select-String -pattern 'version:' -notmatch) | Set-Content $logFile + (Get-Content $logFile | Select-String -pattern 'TIFFReadDirectory' -notmatch) | Set-Content $logFile (Get-Content "$outputDir/ignition_and_weather_log.csv") -replace '\\', '/' | Set-Content "$outputDir/ignition_and_weather_log.csv" } } diff --git a/test/test.sh b/test/test.sh index a3576a18..007582d3 100755 --- a/test/test.sh +++ b/test/test.sh @@ -65,7 +65,7 @@ if [ $dir1_num_files -ne $dir2_num_files ]; then exit 1 fi # delete version line -find test_results/ -name log.txt -type f | xargs sed -i -e '/version:/d' +find test_results/ -name log.txt -type f | xargs sed -i -e '/version:/d' -e '/TIFFReadDirectory/d' # use diff to compare the files in each directory diff_output=$(diff -rq "$dir1" "$dir2") diff --git a/test/unit_tests/test_kitral.cpp b/test/unit_tests/test_kitral.cpp index f2cb6d50..f0f219e7 100644 --- a/test/unit_tests/test_kitral.cpp +++ b/test/unit_tests/test_kitral.cpp @@ -1,7 +1,7 @@ // // Created by mati on 20-02-25. // -#include "../../Cell2Fire/FuelModelKitral.h" +#include "../../Cell2Fire/KitralKernel.h" #include "../../Cell2Fire/FuelModelUtils.h" #include // catch v3 or v2 compatibility @@ -32,6 +32,7 @@ class NativeFuelFixture fuel_coefs* test_coefs; main_outs* test_outs; weatherDF* wdf; + arguments* test_args; public: NativeFuelFixture() @@ -41,6 +42,10 @@ class NativeFuelFixture test_coefs = new fuel_coefs(); test_outs = new main_outs(); wdf = new weatherDF(); + test_args = new arguments(); + // parseArgs aplica estos defaults en produccion; el struct solo trae los + // inicializadores de los campos nuevos, asi que hay que ponerlos a mano. + test_args->ROS10Factor = 3.34f; // dROS10Factor en ReadArgs.cpp set_fueltype(test_data, "BN03"); @@ -105,39 +110,64 @@ TEST_CASE("Slope effect works correctly", "[slope_effect]") // REQUIRE_THROWS(slope_effect(156.75, 170, 0)); } +// NOTA: la pendiente ya no entra por at->se (multiplicador precalculado) sino por +// data->ps (raster slope.asc, en PORCENTAJE). rate_of_spread_k combina viento y +// pendiente vectorialmente (estilo S&B/FARSITE) para producir tambien at->raz, la +// direccion de maximo avance. La linea base sin pendiente se conserva: con ps=0 el +// resultado coincide con el at->se=1 de la formulacion anterior (1.586). TEST_CASE_METHOD(NativeFuelFixture, "Rate of spread changes with slope", "[rate_of_spread_k]") { - test_outs->se = 1; - rate_of_spread_k(test_data, test_coefs, test_outs, wdf); + // sin pendiente: valor de referencia historico + test_data->ps = 0; + rate_of_spread_k(test_data, test_coefs, test_outs, wdf, test_args); REQUIRE_THAT(test_outs->rss, WithinAbs(1.586, 0.001)); - test_outs->se = 0.5; - rate_of_spread_k(test_data, test_coefs, test_outs, wdf); - REQUIRE_THAT(test_outs->rss, WithinAbs(1.463, 0.001)); - test_outs->se = 1.5; - rate_of_spread_k(test_data, test_coefs, test_outs, wdf); - REQUIRE_THAT(test_outs->rss, WithinAbs(1.709, 0.001)); + const float ros_flat = test_outs->rss; + + // el ROS crece monotonicamente con la pendiente + test_data->ps = 30; // 30 % + rate_of_spread_k(test_data, test_coefs, test_outs, wdf, test_args); + const float ros_30 = test_outs->rss; + REQUIRE(ros_30 > ros_flat); + + test_data->ps = 60; // 60 % + rate_of_spread_k(test_data, test_coefs, test_outs, wdf, test_args); + REQUIRE(test_outs->rss > ros_30); } TEST_CASE_METHOD(NativeFuelFixture, "Rate of spread changes with wind", "[rate_of_spread_k]") { - test_outs->se = 1.2; + // Los valores absolutos de referencia (1.635 / 3.324 / 3.648) pertenecen a la + // formulacion anterior, que aplicaba at->se como multiplicador y combinaba viento + // y pendiente de forma multiplicativa. La formulacion actual los combina como + // vectores (estilo S&B/FARSITE) para producir tambien at->raz, lo que cambia los + // valores en ~1.5 % a viento alto. En lugar de re-anclar numeros a la nueva + // implementacion (lo que anularia el test como deteccion de regresiones), aqui se + // verifica el unico valor que ambas formulaciones comparten mas las propiedades + // fisicas esperadas. + test_data->ps = 0; // aislar el efecto del viento + wdf->ws = 10; - rate_of_spread_k(test_data, test_coefs, test_outs, wdf); - REQUIRE_THAT(test_outs->rss, WithinAbs(1.635, 0.001)); + rate_of_spread_k(test_data, test_coefs, test_outs, wdf, test_args); + // linea base identica a la formulacion anterior con at->se = 1 + REQUIRE_THAT(test_outs->rss, WithinAbs(1.586, 0.001)); + const float ros_10 = test_outs->rss; + wdf->ws = 50; - rate_of_spread_k(test_data, test_coefs, test_outs, wdf); - REQUIRE_THAT(test_outs->rss, WithinAbs(3.324, 0.001)); + rate_of_spread_k(test_data, test_coefs, test_outs, wdf, test_args); + const float ros_50 = test_outs->rss; + REQUIRE(ros_50 > ros_10); + wdf->ws = 100; - rate_of_spread_k(test_data, test_coefs, test_outs, wdf); - REQUIRE_THAT(test_outs->rss, WithinAbs(3.648, 0.001)); + rate_of_spread_k(test_data, test_coefs, test_outs, wdf, test_args); + REQUIRE(test_outs->rss > ros_50); } // TODO: test reaction to temperature, humidity TEST_CASE_METHOD(NativeFuelFixture, "Test length to breadth", "[l_to_b]") { - REQUIRE_THAT(l_to_b(10, test_coefs), WithinAbs(1.058, 0.001)); - REQUIRE_THAT(l_to_b(100, test_coefs), WithinAbs(17.225, 0.001)); + REQUIRE_THAT(l_to_b(10, test_coefs, test_args->LbMode), WithinAbs(1.058, 0.001)); + REQUIRE_THAT(l_to_b(100, test_coefs, test_args->LbMode), WithinAbs(17.225, 0.001)); // REQUIRE_THROWS(l_to_b(-1, test_coefs)); // This should throw exception in the future } @@ -235,11 +265,11 @@ TEST_CASE_METHOD(NativeFuelFixture, "Active rate of spread changes with slope", wdf->tmp = 27; wdf->rh = 40; test_outs->se = 1; - REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf), WithinAbs(9.977, 0.001)); + REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf, test_args), WithinAbs(9.977, 0.001)); test_outs->se = 0.5; - REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf), WithinAbs(9.101, 0.001)); + REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf, test_args), WithinAbs(9.101, 0.001)); test_outs->se = 1.8; - REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf), WithinAbs(11.378, 0.001)); + REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf, test_args), WithinAbs(11.378, 0.001)); } TEST_CASE_METHOD(NativeFuelFixture, "Active rate of spread changes with wind", "[active_rate_of_spreadPL04]") @@ -248,11 +278,11 @@ TEST_CASE_METHOD(NativeFuelFixture, "Active rate of spread changes with wind", " wdf->tmp = 27; wdf->rh = 40; wdf->ws = 10; - REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf), WithinAbs(7.496, 0.001)); + REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf, test_args), WithinAbs(7.496, 0.001)); wdf->ws = 50; - REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf), WithinAbs(16.951, 0.001)); + REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf, test_args), WithinAbs(16.951, 0.001)); wdf->ws = 100; - REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf), WithinAbs(22.445, 0.001)); + REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf, test_args), WithinAbs(22.445, 0.001)); } TEST_CASE_METHOD(NativeFuelFixture, "Active rate of spread changes with temperature", "[active_rate_of_spreadPL04]") @@ -261,17 +291,17 @@ TEST_CASE_METHOD(NativeFuelFixture, "Active rate of spread changes with temperat wdf->rh = 40; test_outs->se = 1.2; wdf->tmp = -10; - REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf), WithinAbs(9.521, 0.001)); + REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf, test_args), WithinAbs(9.521, 0.001)); wdf->tmp = 0; - REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf), WithinAbs(9.728, 0.001)); + REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf, test_args), WithinAbs(9.728, 0.001)); wdf->tmp = 10; - REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf), WithinAbs(9.943, 0.001)); + REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf, test_args), WithinAbs(9.943, 0.001)); wdf->tmp = 20; - REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf), WithinAbs(10.166, 0.001)); + REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf, test_args), WithinAbs(10.166, 0.001)); wdf->tmp = 30; - REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf), WithinAbs(10.397, 0.001)); + REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf, test_args), WithinAbs(10.397, 0.001)); wdf->tmp = 40; - REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf), WithinAbs(10.637, 0.001)); + REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf, test_args), WithinAbs(10.637, 0.001)); } TEST_CASE_METHOD(NativeFuelFixture, "Active rate of spread changes with humidity", "[active_rate_of_spreadPL04]") @@ -280,11 +310,11 @@ TEST_CASE_METHOD(NativeFuelFixture, "Active rate of spread changes with humidity wdf->tmp = 26; test_outs->se = 1.2; wdf->rh = 5; - REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf), WithinAbs(115.518, 0.001)); + REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf, test_args), WithinAbs(115.518, 0.001)); wdf->rh = 25; - REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf), WithinAbs(36.817, 0.001)); + REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf, test_args), WithinAbs(36.817, 0.001)); wdf->rh = 45; - REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf), WithinAbs(7.823, 0.001)); + REQUIRE_THAT(active_rate_of_spreadPL04(test_data, test_outs, wdf, test_args), WithinAbs(7.823, 0.001)); } TEST_CASE_METHOD(NativeFuelFixture, "Test check for active fire", "[checkActive]")