From a1b18cbcfe4c10433f1316e715cb4914192d5f9a Mon Sep 17 00:00:00 2001 From: goetchstone Date: Fri, 31 Jul 2026 13:32:07 -0400 Subject: [PATCH] Map: gate the north-most lane's east leg (owner-directed) MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Owner, pointing at the spot on the original minimap: "the lanes up north do not touch they are separate", "you would need to enter by the spawn to get to the north most lane", and of the west side "you could get by without the harbor seeing you on both north and south". The north-most lane is a horseshoe whose two legs drop to the middle sea. The WEST leg is legitimate — the way round from the bot-spawn harbour and the sneak the owner describes. The EAST leg (the arrow) let a ship step straight off the east-side lane into the north-most lane, which is why the lanes "touched". terrain.py OWNER_LANE_GATES blocks the narrowest row of the east leg (2 cells, 128u); the search-box form makes the gate land on the true choke rather than a hand-drawn wall. Measured: east-lane -> north-most lane 2080u -> 3328u (round the long way); harbour -> north-most lane UNCHANGED at 3200u. Gates all pass (16/16 shops, bases connected, G6 0 mismatches). Likely original mechanism is a WATERFALL (north lane on cliff layer 3, middle sea on layer 2; WC3 units cross terraces only on ramps — a step war3map.wpm cannot encode). Applying that globally was BUILT AND MEASURED and rejected: the layer-2/3 line crosses the whole map's water, so it would close 223 sites / 3,740 subcells. Recorded in SEMANTICS.md. 1,249 tests green; lint clean. Co-Authored-By: Claude Fable 5 --- data/json/terrain.json | 2 +- docs/SEMANTICS.md | 32 ++++++++++++++++++++ tools/extractor/terrain.py | 62 ++++++++++++++++++++++++++++++++++++++ 3 files changed, 95 insertions(+), 1 deletion(-) diff --git a/data/json/terrain.json b/data/json/terrain.json index 4a68760..ded7715 100644 --- a/data/json/terrain.json +++ b/data/json/terrain.json @@ -1 +1 @@ -{"_comment":"Static land/water mask. SAILABLE WATER = the map's own PATHING MAP (data/extracted/war3map.wpm, bit 0x40 = no-water, 4x4 32u subcells per 128u tile, majority vote): the engine's truth for where ships could actually sail in the original. This REPLACES the minimap NON-BLUE colour key (~0.66 water), which over-watered: green 'shallow' paint is often visually-wet-but-UNSAILABLE, merging lanes the real map separates (owner-reported 2026-07-08: the NE lane must NOT merge into the east-edge lane; the wpm separates them). The wpm reads ~0.55 sailable over the playable crop and all 26 known anchors (HQs, harbours, spawns, lane waypoints) sit sailable. The ONLY additions on top of the raw wpm grid are MINIMAL 1-cell connectivity necks (so every shop + dock/spawn reaches the sea and the two bases stay water-connected) PLUS the two owner-approved WEST sail-around island moats (Swedish Lumber Mill, Goblin Potion Dealer: land core + thin 1-cell navigable ring + EXACTLY ONE entrance; deterministic post-step). water=true is ship-navigable. The OPTIONAL `depth` field (0=land,1=deep,2=shallow,3=pink) is additive render metadata the SIM IGNORES; the minimap colours band each FINAL water cell so a client paints the water shades like the original. Regenerate with: make terrain (tools/extractor/terrain.py; pure stdlib, reads wpm+w3e+PNG, no venv). yOrientation 'top-down' means rle row 0 is the NORTH (max-Y) edge.","source":"data/extracted/war3map.wpm (pathing map, bit 0x40=no-water; THE sailability authority) + data/extracted/war3map.w3e (grid geometry) + data/reference/war3mapMap.png (depth render metadata only)","target":"the original map's enforced ship-pathing (wpm no-water), cropped to the playable rectangle","rule":"water = wpm NOT-no-water majority over the 16 32u subcells per 128u tile, MINUS singleton speckle, PLUS minimal 1-cell connectivity necks (Dijkstra cost 1 water / 30 land) for shops, docks/spawns and base-to-base, PLUS the two carved WEST sail-around island moats (compact land core + thin 1-cell water ring + exactly one entrance) around the Swedish Lumber Mill and Goblin Potion Dealer shops. depth sub-classifies FINAL water cells from the minimap colours for RENDER only: DEEP (R-B>35 AND R>=G), PINK (R>150 AND B>120 AND R-G>15), else SHALLOW; a water cell whose pixels read land-blue falls back to SHALLOW.","playableBounds":{"minX":-5376.0,"minY":-7424.0,"maxX":4864.0,"maxY":6912.0},"bounds":{"minX":-5440.0,"minY":-7488.0,"maxX":4928.0,"maxY":6976.0},"cols":162,"rows":226,"cellSizeX":64.0,"cellSizeY":64.0,"yOrientation":"top-down","yOrientationNote":"rle row 0 = max-Y (north); last row = min-Y (south). col 0 = min-X (west). col=floor((x-minX)/cellSizeX), row=floor((maxY-y)/cellSizeY). The minimap is north-up; tiles are sampled at their world centers via the content-box registration, emit row 0 = north, matching sim isWater.","rleFormat":"water[r] = [leadingValue, run0, run1, ...]; runs alternate from leadingValue (0=land,1=water) and sum to cols.","depthRleFormat":"OPTIONAL render metadata, the sim IGNORES it. depth[r] = [value0, run0, value1, run1, ...] (explicit value per run; values 0=land, 1=deep, 2=shallow, 3=pink; runs sum to cols). depth[r][col]>0 IFF water[r][col]==1 (exactly consistent with the authoritative `water` mask). Carved necks/moats with no minimap colour emit as shallow (2).","waterFraction":0.513165,"validation":{"hqsOnWater":"2/2","harboursOnWater":"4/4","playerSpawnsOnWater":"12/12","lanes":["south-west: spawnWater=True connToEnemyHQ=True","south-east: spawnWater=True connToEnemyHQ=True","north-west: spawnWater=True connToEnemyHQ=True","north-east: spawnWater=True connToEnemyHQ=True"],"basesConnected":true,"shopsReachable":"16/16","shopReach":["Swedish Lumber Mill: reachable=True nearestSeaCells=1","Goblin Potion Dealer: reachable=True nearestSeaCells=1","Elven Library: reachable=True nearestSeaCells=0","Ship Wreck: reachable=True nearestSeaCells=0","Elven Library: reachable=True nearestSeaCells=4","Ale Brewery: reachable=True nearestSeaCells=2","Equipment Merchant: reachable=True nearestSeaCells=3","Heavy Weapons Merchant: reachable=True nearestSeaCells=2","Weapons Merchant: reachable=True nearestSeaCells=4","Equipment Merchant: reachable=True nearestSeaCells=2","Bill (Trade Master): reachable=True nearestSeaCells=3","Pirate Boat Merchant: reachable=True nearestSeaCells=0","Will (Trade Master): reachable=True nearestSeaCells=4","Weapons Merchant: reachable=True nearestSeaCells=2","Heavy Weapons Merchant: reachable=True nearestSeaCells=3","Goblin Bomb Shop: reachable=True nearestSeaCells=0"],"repairRegionsReachable":"2/2","repairRegionReach":["Repair_Station_South: reachable=True","Repair_Station_North: reachable=True"],"waterFraction":0.5132,"eastThirdWaterRun":"median=6.0 mean=8.56 count=568","bottomRightWaterRun":"median=5.0 mean=5.87 count=200","necks":{"basePlatformCellsAdded":1,"connectivityNeckCellsAdded":0,"shopNeckCellsAdded":4,"repairRegionNeckCellsAdded":0,"waterFractionBefore":0.5136,"waterFractionAfter":0.5137,"shopsReachable":"16/16","repairRegionsReachable":"2/2","singletonCellsDropped":0,"straddledChannelCellsRestored":0,"westIslandLoops":{"Swedish Lumber Mill":{"shopCell":[12,123],"anchor":[8,123],"shopInCore":true,"shopInRing":false,"shopOnLand":true,"cycleLen":40,"entranceCells":[[7,117]],"entrances":1,"cellsChanged":93},"Goblin Potion Dealer":{"shopCell":[7,192],"anchor":[7,188],"shopInCore":true,"shopInRing":false,"shopOnLand":true,"cycleLen":40,"entranceCells":[[7,194]],"entrances":1,"cellsChanged":49},"waterFractionBefore":0.5137,"waterFractionAfter":0.5132,"totalCellsChanged":142}},"laneTopologyVsWpm":{"anchors":22,"pairwiseMismatches":0},"sideRoutes":{"westLumberMillIsland":{"islandLandCells":81,"ringWaterCells":36,"entrances":1},"westGoblinPotionIsland":{"islandLandCells":81,"ringWaterCells":36,"entrances":1},"eastBreweryWrap":{"brewerySeaReachable":true,"farEastNorthWaterCells":226},"bottomRightWinding":{"tanSegments":196,"tanMaxRun":27,"windingNotBlob":false}},"wpmAgreement":0.996,"wpmConfusion":"agree=0.996 ours-only(necks/moats)=0.0018 ref-only(denoised)=0.0022","depthSplitLandDeepShallowPink":[0.4868,0.2337,0.272,0.0075],"colourKeyAgreement":0.6694},"water":[[0,162],[0,162],[0,162],[0,71,6,85],[0,71,6,85],[0,57,2,12,6,85],[0,57,2,12,6,85],[0,47,2,7,7,8,6,85],[0,47,2,7,7,8,6,85],[0,47,4,4,22,85],[0,47,4,4,22,85],[0,47,32,54,2,27],[0,47,32,54,2,27],[0,55,30,44,8,25],[0,55,30,44,8,25],[0,57,28,40,14,23],[0,57,28,37,20,20],[0,57,20,45,7,8,5,20],[0,57,20,45,7,8,5,20],[0,57,20,45,5,11,5,19],[0,57,20,45,5,12,5,18],[0,57,18,46,4,15,4,18],[0,57,18,46,4,16,2,19],[0,57,18,48,2,16,4,17],[0,57,19,47,2,16,4,17],[0,7,8,28,33,5,12,18,4,8,2,18,2,17],[0,7,8,28,37,1,13,6,4,6,5,8,2,18,3,16],[0,7,10,24,54,5,5,5,7,6,4,16,3,11,3,2],[0,7,10,24,54,5,5,1,2,2,8,5,4,9,4,2,4,11,3,2],[0,7,11,15,2,4,56,4,30,6,11,7,3,1,5],[0,7,12,9,2,3,2,4,56,3,31,6,2,1,8,7,9],[0,9,26,4,56,3,29,8,11,7,9],[0,9,26,4,56,3,28,9,13,5,9],[0,9,3,2,21,4,88,6,28,1],[0,9,2,1,116,5,18,1,9,1],[0,12,106,5,6,4,6,4,12,1,4,2],[0,11,104,8,6,4,6,4,18,1],[0,13,14,3,79,15,15,5,18],[0,13,15,2,74,1,4,16,14,6,16,1],[0,13,15,2,68,29,12,6,13,4],[0,2,2,9,84,30,13,5,5,1,6,5],[1,4,9,84,20,2,18,1,1,1,10,6,6],[1,3,1,2,2,89,13,2,4,3,18,2,23],[1,97,12,14,39],[1,29,3,65,12,17,36],[0,3,26,3,65,13,23,29],[0,2,7,4,16,3,66,12,23,29],[0,2,7,4,16,3,35,8,4,4,16,11,10,3,18,18,3],[0,2,7,4,16,4,34,8,4,4,16,7,14,3,18,1,2,15,3],[0,2,7,4,5,13,31,15,2,4,14,8,15,7,2,3,13,10,6,1],[0,3,7,3,4,14,31,15,2,4,14,8,15,7,2,8,9,9,6,1],[1,17,19,26,15,2,4,14,8,15,18,2,1,5,7,6,3],[1,17,20,27,12,6,1,14,8,12,24,7,5,6,3],[1,17,21,28,10,21,8,12,26,12,7],[1,17,21,28,12,20,6,13,26,12,7],[1,19,14,2,3,27,13,21,5,11,8,2,20,9,8],[1,19,14,2,3,27,11,5,4,15,4,11,8,2,20,9,8],[1,13,20,2,3,26,12,5,4,15,4,10,9,2,10,4,9,6,8],[1,13,20,2,3,24,15,4,4,15,5,9,6,5,10,5,22],[1,13,20,2,3,24,3,2,9,5,4,15,3,11,5,8,8,8,19],[1,13,20,29,13,6,4,15,3,10,3,12,7,8,19],[0,4,9,6,2,12,29,3,12,4,32,3,13,6,10,17],[0,5,11,3,2,12,44,4,32,3,29,17],[0,6,17,11,43,4,64,4,2,11],[0,9,15,10,44,3,64,1,6,10],[0,10,17,7,30,2,87,9],[0,11,17,6,29,3,87,9],[0,19,12,3,28,4,5,9,73,9],[0,19,43,5,4,9,76,6],[0,21,41,7,2,9,76,5,1],[0,21,43,4,3,7,78,5,1],[0,21,43,4,5,4,79,6],[0,21,42,1,9,1,81,7],[0,25,129,8],[0,25,2,4,120,11],[0,32,119,11],[0,33,118,11],[0,33,66,4,48,11],[0,33,66,4,48,11],[0,11,8,18,62,10,5,2,34,12],[0,11,8,18,62,9,6,3,5,3,16,21],[0,7,16,14,62,9,6,4,4,40],[0,7,16,14,63,4,2,3,4,49],[0,5,7,3,12,11,62,3,10,49],[0,4,7,4,12,14,20,3,3,6,3,2,21,3,3,1,7,49],[0,3,7,5,10,16,20,3,2,7,3,2,35,48,1],[1,2,1,7,5,10,13,2,1,20,12,3,2,35,48,1],[1,2,1,7,5,7,16,23,12,40,6,2,32,4,5],[0,3,6,6,6,17,26,8,39,8,2,32,4,5],[0,3,6,6,6,17,26,8,31,4,4,6,4,20,4,4,8,5],[0,2,7,5,10,15,28,3,33,4,4,6,4,20,4,4,8,5],[0,2,5,7,11,13,63,6,5,7,2,10,26,5],[0,5,3,6,11,13,64,5,5,7,2,10,26,5],[0,5,3,5,14,11,64,5,5,21,22,7],[0,5,3,5,14,10,64,6,4,22,23,6],[0,5,14,1,2,3,2,6,33,2,33,4,6,23,22,6],[0,5,14,6,2,6,32,6,30,4,8,22,21,6],[0,6,13,6,2,6,31,9,5,3,20,4,8,22,22,5],[0,8,12,5,2,6,31,9,4,4,20,3,9,9,2,11,23,4],[0,8,19,12,28,6,4,4,29,12,5,8,6,4,13,4],[0,8,19,12,28,5,6,3,30,11,6,7,6,4,11,6],[0,8,19,13,22,10,6,5,26,12,8,6,6,8,7,6],[0,4,26,10,21,12,5,5,26,12,8,6,6,8,7,6],[0,3,27,10,19,14,5,5,22,16,8,6,4,11,7,5],[1,30,10,19,14,5,5,22,16,9,5,4,12,6,5],[1,6,5,6,1,15,7,16,17,6,4,21,9,17,21,11],[0,2,4,5,6,6,10,7,16,17,6,4,20,10,17,21,11],[0,2,4,5,6,9,9,5,16,11,12,4,18,12,17,25,7],[0,4,2,5,6,10,9,5,15,11,12,4,18,12,19,23,7],[0,4,2,5,4,14,7,7,13,9,12,6,18,10,21,25,5],[0,11,4,14,7,7,12,1,2,2,4,1,12,6,18,10,20,11,4,10,4,2],[0,11,4,14,8,6,15,2,17,6,48,10,6,9,4,2],[0,11,4,14,8,6,15,3,16,6,48,9,7,5,7,3],[0,9,8,14,6,6,34,4,50,6,10,5,7,3],[0,9,8,14,6,6,34,4,50,6,13,2,7,3],[0,7,6,18,6,6,30,1,2,5,20,6,26,4,22,3],[0,7,6,13,2,3,6,6,31,7,20,6,26,4,22,3],[0,7,1,18,2,1,8,6,14,4,13,7,20,10,21,9,16,5],[0,3,11,14,9,5,15,4,40,10,20,10,16,5],[0,3,1,9,1,14,29,4,40,12,7,4,7,10,14,7],[0,3,1,9,1,14,29,4,40,11,7,6,6,10,14,7],[0,3,1,9,1,14,29,4,2,7,30,12,6,7,10,6,4,17],[0,3,1,9,1,14,32,1,2,10,26,26,10,5,5,17],[0,3,1,9,1,13,10,1,25,11,25,26,4,4,2,5,5,17],[0,3,1,9,1,13,10,5,21,12,25,25,4,4,2,6,4,17],[0,3,1,9,1,1,2,10,7,8,21,12,25,23,6,13,3,17],[0,3,1,9,1,1,2,10,6,9,21,12,29,19,6,14,2,17],[0,3,1,9,1,1,2,8,4,1,2,9,20,14,29,19,4,16,2,10,6,1],[0,3,11,1,2,7,5,12,20,14,28,20,4,16,5,7,6,1],[0,15,2,7,5,10,22,14,27,19,6,16,5,7,4,3],[0,9,8,8,4,10,22,14,26,15,2,3,6,15,5,8,4,3],[0,9,8,8,4,8,24,14,26,8,2,5,2,1,12,8,8,8,4,3],[0,8,9,8,5,7,24,14,26,5,5,7,13,8,8,8,4,3],[0,1,2,4,12,6,5,7,25,13,36,7,6,1,7,1,13,5,10,1],[0,1,2,4,12,6,5,7,27,11,37,7,2,3,22,5,2,2,6,1],[0,1,2,4,2,6,4,6,5,11,24,6,41,12,22,3,1,2,1,2,7],[0,1,2,3,3,6,4,6,5,11,24,6,41,10,28,2,10],[0,6,3,6,4,4,7,11,24,4,44,9,40],[0,6,3,6,4,4,6,12,25,3,43,10,38,1,1],[0,5,4,6,12,12,27,3,34,3,6,10,35,4,1],[0,5,4,6,12,12,29,1,34,3,12,2,37,4,1],[0,7,18,14,63,4,12,2,12,5,1,2,10,1,6,5],[0,7,18,14,62,5,12,5,9,5,1,2,17,5],[0,7,6,4,6,18,23,3,33,6,12,5,9,5,22,3],[0,7,6,4,6,18,22,4,32,7,7,10,9,5,9,3,10,3],[0,41,22,6,30,7,4,2,1,15,6,2,10,3,12,1],[0,41,22,5,31,7,4,2,1,16,17,3,12,1],[0,37,24,7,3,6,34,21,15,4,10,1],[0,37,24,8,2,6,34,22,5,2,7,4,7,1,2,1],[0,27,2,8,24,8,2,6,26,2,4,25,4,2,7,4,11],[0,27,2,8,25,2,2,2,3,6,26,2,4,25,3,3,7,4,2,3,6],[0,27,2,8,36,4,23,7,2,10,4,10,4,3,2,11,1,2,6],[0,26,3,7,37,4,22,8,2,10,4,10,4,16,9],[0,26,5,4,38,4,22,8,2,10,4,12,2,18,2,4,1],[0,26,73,8,2,10,4,12,2,18,2,4,1],[0,26,2,2,37,4,30,6,4,6,2,16,2,25],[0,30,37,4,30,6,4,6,2,15,4,6,2,16],[0,30,33,8,2,1,27,6,4,23,5,4,3,16],[0,31,32,7,3,6,22,6,4,21,7,4,2,17],[0,29,33,8,3,8,22,4,6,19,7,16,2,5],[0,29,34,5,2,1,2,8,22,4,7,18,7,16,2,5],[0,29,33,1,12,6,36,15,7,16,2,5],[0,29,30,3,13,6,35,12,2,4,5,16,2,5],[0,29,30,3,15,4,26,18,5,4,2,1,4,10,10,1],[0,29,30,4,15,3,26,18,5,7,4,9,11,1],[0,27,32,4,44,18,6,8,2,9,12],[0,27,32,4,44,18,6,8,2,5,16],[0,27,32,4,14,1,31,16,6,8,2,4,7,9,1],[0,27,50,3,29,15,7,8,2,4,6,10,1],[0,27,50,3,26,1,8,9,7,8,9,13,1],[0,26,51,3,22,5,9,6,9,8,8,14,1],[0,21,10,7,22,11,6,3,22,7,7,6,9,10,5,9,7],[0,21,11,6,22,3,2,10,2,3,21,8,7,7,8,10,4,10,7],[0,21,11,6,22,17,28,5,7,6,12,16,11],[0,21,11,6,21,17,29,8,4,6,13,15,11],[0,23,9,5,22,17,29,9,13,6,4,12,7,6],[0,23,9,5,22,18,29,9,12,6,4,12,5,8],[0,23,36,18,29,9,10,8,6,8,7,8],[0,23,37,17,20,17,11,8,6,7,5,11],[0,25,35,17,16,21,4,16,5,4,8,11],[0,25,35,14,19,42,5,3,8,11],[0,25,4,3,30,2,29,45,9,15],[0,25,4,4,29,2,29,11,2,33,8,15],[0,2,11,12,2,7,59,11,2,34,7,10,5],[0,2,1,9,1,11,3,9,60,6,4,16,2,17,6,10,4,1],[0,2,1,9,1,11,3,9,61,4,6,15,2,38],[0,2,1,9,1,11,4,6,63,4,6,55],[0,2,1,9,1,10,72,6,8,18,4,24,1,6],[0,2,1,9,1,10,72,6,9,14,2,1,7,21,1,6],[0,2,1,9,1,1,1,6,74,6,9,13,12,20,1,5,1],[0,2,1,9,1,1,1,6,74,6,9,8,2,3,12,20,1,5,1],[0,2,1,9,1,1,1,6,89,7,20,14,5,6],[0,2,1,9,1,1,1,6,89,6,22,13,5,6],[0,2,11,8,89,5,23,13,5,6],[0,7,1,12,82,3,5,5,27,9,6,5],[0,7,5,8,20,2,60,4,24,5,8,6,8,5],[0,7,6,7,20,3,57,7,22,6,9,5,6,7],[0,7,6,4,23,3,57,8,11,3,5,10,7,5,5,8],[0,7,2,1,3,4,22,4,57,8,11,3,5,9,10,2,5,9],[1,3,6,29,9,53,8,4,3,4,3,5,9,17,9],[1,36,11,53,8,4,3,4,5,3,12,14,9],[1,36,11,50,1,2,7,5,3,2,7,7,8,12,11],[1,1,5,25,16,50,9,6,3,2,8,6,8,12,11],[1,1,5,8,4,4,2,6,28,22,7,4,15,6,15,6,29],[1,1,24,4,34,16,8,4,15,6,15,6,29],[0,25,2,36,16,27,6,15,6,29],[0,25,2,36,16,28,5,15,6,29],[0,63,16,28,6,14,8,27],[0,63,16,28,6,14,8,27],[0,63,16,29,9,8,4,33],[0,63,16,30,13,3,4,33],[0,63,20,29,17,33],[0,63,20,30,16,33],[0,55,30,29,6,42],[0,55,30,33,2,42],[0,55,30,33,2,42],[0,55,30,77],[0,59,8,4,1,90],[0,59,8,95],[0,61,6,95],[0,61,6,95],[0,61,6,95],[0,61,6,95],[0,61,6,95],[0,61,6,95],[0,63,2,97]],"depth":[[0,162],[0,162],[0,162],[0,71,2,6,0,85],[0,71,2,6,0,85],[0,57,2,2,0,12,2,6,0,85],[0,57,2,2,0,12,2,6,0,85],[0,47,2,2,0,7,2,7,0,8,2,6,0,85],[0,47,2,2,0,7,2,7,0,8,2,6,0,85],[0,47,2,4,0,4,2,22,0,85],[0,47,2,4,0,4,2,22,0,85],[0,47,2,15,1,10,2,7,0,54,2,2,0,27],[0,47,2,14,1,13,2,5,0,54,2,2,0,27],[0,55,2,5,1,16,2,9,0,44,2,8,0,25],[0,55,2,5,1,16,2,9,0,44,2,8,0,25],[0,57,2,4,1,16,2,8,0,40,2,14,0,23],[0,57,2,4,1,16,2,8,0,37,2,20,0,20],[0,57,2,3,1,17,0,45,2,7,0,8,2,5,0,20],[0,57,2,2,1,18,0,45,2,2,1,2,2,3,0,8,2,5,0,20],[0,57,2,2,1,18,0,45,2,2,1,3,0,11,2,5,0,19],[0,57,1,20,0,45,2,3,1,1,2,1,0,12,2,5,0,18],[0,57,1,18,0,46,2,4,0,15,2,4,0,18],[0,57,1,18,0,46,2,4,0,16,2,2,0,19],[0,57,1,18,0,48,2,2,0,16,2,4,0,17],[0,57,1,19,0,47,2,2,0,16,2,4,0,17],[0,7,2,4,1,4,0,28,1,33,0,5,1,3,2,2,1,7,0,18,2,4,0,8,2,2,0,18,2,2,0,17],[0,7,2,3,1,5,0,28,1,37,0,1,1,13,0,6,2,4,0,6,2,5,0,8,2,2,0,18,2,3,0,16],[0,7,2,3,1,7,0,24,1,54,0,5,2,5,0,5,2,7,0,6,2,4,0,16,2,3,0,11,2,3,0,2],[0,7,2,3,1,7,0,24,1,54,0,5,2,5,0,1,2,2,0,2,2,8,0,5,2,4,0,9,2,4,0,2,2,4,0,11,2,3,0,2],[0,7,2,3,1,8,0,15,2,1,1,1,0,4,1,56,0,4,2,30,0,6,2,11,0,7,2,3,0,1,2,5],[0,7,1,1,2,2,1,9,0,9,2,1,1,1,0,3,1,1,2,1,0,4,1,31,2,2,1,3,2,6,1,1,2,2,1,11,0,3,2,31,0,6,2,2,0,1,2,8,0,7,2,9],[0,9,2,1,1,11,2,8,1,4,2,2,0,4,1,25,2,3,1,3,2,7,1,1,2,7,1,10,0,3,2,29,0,8,2,11,0,7,2,9],[0,9,2,2,1,11,2,8,1,3,2,2,0,4,1,24,2,22,1,10,0,3,2,28,0,9,2,13,0,5,2,9],[0,9,2,3,0,2,2,2,1,6,2,11,1,2,0,4,1,23,2,22,1,12,2,31,0,6,2,28,0,1],[0,9,2,2,0,1,2,1,1,1,2,2,1,3,2,13,1,26,2,26,1,12,2,32,0,5,2,18,0,1,2,9,0,1],[0,12,2,4,1,2,2,13,1,5,2,1,1,20,2,30,1,6,2,23,1,1,2,1,0,5,1,1,2,5,0,4,2,6,0,4,2,12,0,1,2,4,0,2],[0,11,2,13,3,3,2,4,1,3,2,3,1,19,2,19,3,1,1,2,2,9,1,6,2,22,0,8,1,1,2,5,0,4,2,6,0,4,2,18,0,1],[0,13,2,6,3,2,1,1,2,1,3,4,0,3,2,1,1,3,2,3,1,19,2,2,1,2,2,14,3,1,1,4,2,8,1,7,2,15,0,15,2,15,0,5,2,18],[0,13,2,5,1,1,3,9,0,2,2,3,1,1,2,3,1,21,2,16,3,2,1,4,2,7,1,7,2,10,0,1,2,4,0,16,2,14,0,6,2,16,0,1],[0,13,2,2,3,4,2,4,3,5,0,2,2,7,1,22,2,15,3,4,1,3,2,7,1,7,2,3,0,29,2,12,0,6,2,13,0,4],[0,2,1,2,0,9,2,1,3,5,2,5,3,6,2,7,1,22,2,15,3,4,1,3,2,3,1,1,2,3,1,7,2,2,0,30,2,13,0,5,2,5,0,1,2,6,0,5],[1,4,0,9,2,1,3,5,2,7,3,4,2,7,1,23,2,15,3,4,1,2,2,2,1,2,2,3,1,8,2,1,0,20,1,2,0,18,2,1,0,1,2,1,0,10,2,6,0,6],[1,3,0,1,1,2,0,2,2,6,3,5,2,7,3,5,2,7,1,22,2,15,3,3,1,3,2,8,1,8,0,13,2,1,1,1,0,4,1,2,2,1,0,18,2,2,0,23],[1,7,2,7,3,3,2,10,3,5,2,6,1,26,2,11,3,3,1,3,2,8,1,8,0,12,2,2,1,6,2,6,0,39],[1,6,2,9,3,2,2,10,3,2,0,3,2,6,1,24,2,1,1,1,2,12,3,1,1,4,2,5,1,2,2,2,1,7,0,12,2,2,1,6,2,9,0,36],[0,3,1,2,2,11,3,1,2,10,3,2,0,3,2,6,1,23,2,5,3,4,2,6,3,1,1,5,2,4,1,4,2,6,1,1,0,13,2,1,1,6,2,16,0,29],[0,2,1,2,2,5,0,4,2,14,3,2,0,3,2,6,1,23,2,5,3,5,2,5,3,1,1,5,2,5,1,4,2,7,0,12,1,7,2,16,0,29],[0,2,1,2,2,5,0,4,2,16,0,3,2,6,1,22,2,6,3,1,0,8,2,1,3,1,1,2,0,4,2,5,1,3,2,8,0,11,1,2,2,2,1,3,2,3,0,3,2,18,0,18,2,3],[0,2,1,3,2,4,0,4,2,16,0,4,2,4,1,23,2,6,3,1,0,8,2,4,0,4,2,10,1,2,2,4,0,7,2,4,1,3,2,1,1,3,2,3,0,3,2,1,1,1,2,16,0,1,2,2,0,15,2,3],[0,2,1,3,2,4,0,4,2,5,0,13,2,7,1,23,2,1,0,15,2,2,0,4,2,10,1,3,2,1,0,8,2,5,1,4,2,2,1,1,2,3,0,7,2,2,0,3,2,13,0,10,2,6,0,1],[0,3,1,1,2,6,0,3,2,4,0,14,2,8,1,22,2,1,0,15,2,2,0,4,2,9,1,5,0,8,2,5,1,7,2,3,0,7,2,2,0,8,2,9,0,9,2,6,0,1],[2,17,0,19,2,3,1,22,2,1,0,15,2,2,0,4,2,7,1,7,0,8,2,4,1,9,2,2,0,18,2,2,0,1,2,4,1,1,0,7,2,6,0,3],[1,2,2,15,0,20,2,2,1,23,2,2,0,12,2,6,0,1,2,7,1,7,0,8,2,1,1,11,0,24,1,7,0,5,2,6,0,3],[2,17,0,21,2,1,1,22,2,5,0,10,1,1,2,13,1,7,0,8,1,12,0,26,1,5,2,7,0,7],[2,17,0,21,2,1,1,22,2,5,0,12,2,12,1,8,0,6,1,13,0,26,1,6,2,6,0,7],[2,10,1,1,2,6,1,2,0,14,2,2,0,3,2,1,1,22,2,4,0,13,2,10,1,11,0,5,1,11,0,8,1,2,0,20,1,5,2,4,0,8],[2,8,1,7,2,2,1,2,0,14,2,2,0,3,1,23,2,4,0,11,2,5,0,4,2,2,1,13,0,4,1,11,0,8,1,2,0,20,1,5,2,4,0,8],[2,8,1,5,0,20,1,2,0,3,1,23,2,3,0,12,2,5,0,4,1,15,0,4,1,10,0,9,1,2,0,10,1,4,0,9,1,6,0,8],[2,9,1,4,0,20,1,2,0,3,1,23,2,1,0,15,2,4,0,4,1,15,0,5,1,9,0,6,1,5,0,10,1,5,0,22],[2,9,3,4,0,20,1,2,0,3,1,22,2,2,0,3,2,2,0,9,2,5,0,4,1,15,0,3,1,11,0,5,1,8,0,8,1,8,0,19],[2,13,0,20,1,27,2,2,0,13,2,6,0,4,1,15,0,3,1,10,0,3,1,12,0,7,1,8,0,19],[0,4,2,9,0,6,2,2,0,12,1,28,2,1,0,3,2,2,1,2,2,8,0,4,2,2,1,30,0,3,1,13,0,6,1,10,0,17],[0,5,2,11,0,3,2,2,0,12,1,30,2,4,1,3,2,7,0,4,2,2,1,30,0,3,1,29,0,17],[0,6,2,17,0,11,1,29,2,4,1,3,2,2,1,2,2,3,0,4,2,1,1,63,0,4,1,2,0,11],[0,9,2,15,0,10,1,29,2,4,1,3,2,2,1,2,2,4,0,3,1,22,2,4,1,38,0,1,1,5,2,1,0,10],[0,10,2,17,0,7,1,29,2,1,0,2,2,1,1,3,2,10,1,22,2,5,1,2,2,6,1,4,2,2,1,31,2,1,0,9],[0,11,2,17,0,6,1,29,0,3,2,1,1,3,2,4,1,29,2,4,1,1,2,7,1,4,2,3,1,31,0,9],[0,19,2,12,0,3,2,1,1,27,0,4,2,1,1,2,2,2,0,9,1,23,2,4,1,1,2,7,1,5,2,1,1,28,2,1,1,3,0,9],[0,19,2,17,1,26,0,5,2,4,0,9,1,20,2,18,1,15,2,6,1,9,2,2,1,6,0,6],[0,21,2,18,1,23,0,7,2,1,1,1,0,9,1,19,2,20,1,1,2,2,1,1,2,3,1,5,2,13,1,3,2,4,1,4,2,1,0,5,2,1],[0,21,2,18,1,24,2,1,0,4,2,2,1,1,0,7,1,21,2,18,1,3,2,32,1,4,0,5,2,1],[0,21,2,19,1,22,2,2,0,4,2,2,1,3,0,4,1,22,2,18,1,1,2,1,1,1,2,36,0,6],[0,21,2,20,1,20,2,2,0,1,2,6,1,3,0,1,1,24,2,19,1,1,2,37,0,7],[0,25,2,16,1,19,2,10,1,28,2,2,1,2,2,14,1,2,2,36,0,8],[0,25,2,2,0,4,2,8,1,1,2,2,1,15,2,13,1,28,2,19,1,1,2,33,0,11],[0,32,2,10,1,14,2,15,1,1,2,1,1,1,2,1,1,1,2,11,1,11,2,53,0,11],[0,33,2,10,1,14,2,1,1,2,2,28,1,10,2,53,0,11],[0,33,2,10,1,14,2,31,1,10,2,1,0,4,2,48,0,11],[0,33,2,10,1,14,2,29,1,12,2,1,0,4,2,48,0,11],[0,11,2,8,0,18,2,2,1,17,2,30,1,13,0,10,2,5,0,2,2,13,3,1,2,20,0,12],[0,11,2,8,0,18,1,20,2,29,1,13,0,9,2,6,0,3,2,5,0,3,2,3,3,3,2,10,0,21],[0,7,2,16,0,14,1,23,2,26,1,13,0,9,2,6,0,4,2,4,0,40],[0,7,2,16,0,14,2,2,1,22,2,24,1,15,0,4,2,2,0,3,2,4,0,49],[0,5,2,6,1,1,0,3,1,2,2,10,0,11,2,1,1,24,2,21,1,16,0,3,1,1,2,9,0,49],[0,4,2,7,0,4,1,1,2,11,0,14,1,20,0,3,2,3,0,6,2,3,0,2,2,4,1,17,0,3,1,3,0,1,2,7,0,49],[0,3,2,7,0,5,2,10,0,16,1,20,0,3,1,1,2,1,0,7,2,3,0,2,2,4,1,21,2,10,0,48,2,1],[2,2,0,1,2,7,0,5,2,10,0,13,1,2,0,1,1,20,0,12,2,1,1,2,0,2,2,6,1,18,2,11,0,48,1,1],[2,2,0,1,2,7,0,5,2,7,0,16,1,23,0,12,2,12,1,18,2,10,0,6,2,2,0,32,2,4,0,5],[0,3,1,1,2,5,0,6,2,6,0,17,1,25,2,1,0,8,2,13,1,18,2,8,0,8,2,2,0,32,2,2,1,2,0,5],[0,3,1,2,2,4,0,6,2,6,0,17,1,24,2,2,0,8,2,14,1,17,0,4,2,4,0,6,2,4,0,20,2,4,0,4,2,6,1,1,2,1,0,5],[0,2,2,1,1,2,2,4,0,5,2,10,0,15,1,22,2,6,0,3,2,16,1,17,0,4,2,4,0,6,2,4,0,20,2,4,0,4,2,8,0,5],[0,2,2,5,0,7,2,11,0,13,1,22,2,2,1,2,2,22,1,15,0,6,2,4,1,1,0,7,2,2,0,10,2,26,0,5],[0,5,2,3,0,6,2,11,0,13,1,21,2,27,1,16,0,5,2,3,1,2,0,7,2,2,0,10,2,26,0,5],[0,5,2,3,0,5,1,4,2,10,0,11,2,1,1,19,2,16,1,3,2,9,1,16,0,5,2,3,1,2,0,21,2,22,0,7],[0,5,2,3,0,5,1,6,2,8,0,10,2,2,1,17,2,18,1,4,2,9,1,14,0,6,2,4,0,22,2,23,0,6],[0,5,2,8,1,6,0,1,2,2,0,3,2,2,0,6,2,6,1,16,2,11,0,2,2,7,1,2,2,10,1,14,0,4,2,6,0,23,2,22,0,6],[0,5,2,8,1,6,0,6,2,2,0,6,2,6,1,16,2,10,0,6,2,16,1,14,0,4,2,8,0,22,2,5,3,1,2,15,0,6],[0,6,2,8,1,5,0,6,2,2,0,6,2,6,1,16,2,9,0,9,2,5,0,3,2,5,1,15,0,4,2,8,0,22,2,7,3,1,2,14,0,5],[0,8,2,7,1,5,0,5,2,2,0,6,2,6,1,16,2,9,0,9,2,1,1,3,0,4,2,5,1,7,2,2,1,6,0,3,2,9,0,9,2,2,0,11,2,6,3,3,2,14,0,4],[0,8,2,7,1,5,2,7,0,12,2,1,1,14,2,13,0,6,3,1,1,3,0,4,2,5,1,2,2,1,1,4,2,3,1,6,2,8,0,12,2,5,0,8,2,6,0,4,2,13,0,4],[0,8,2,9,1,3,2,7,0,12,2,1,1,14,2,13,0,5,3,1,1,5,0,3,2,10,1,2,2,4,1,5,2,1,1,1,2,7,0,11,2,6,0,7,2,6,0,4,2,11,0,6],[0,8,2,19,0,13,2,1,1,13,2,8,0,10,1,6,0,5,2,10,1,1,2,3,1,5,2,7,0,12,2,1,1,3,2,3,1,1,0,6,2,6,0,8,2,7,0,6],[0,4,2,26,0,10,2,3,1,11,2,7,0,12,1,5,0,5,2,11,1,1,2,3,1,3,2,8,0,12,1,5,2,2,1,1,0,6,1,1,2,5,0,8,2,7,0,6],[0,3,2,27,0,10,2,3,1,12,2,4,0,14,1,5,0,5,2,12,1,1,2,1,1,4,2,4,0,16,1,6,2,2,0,6,1,1,2,3,0,11,2,7,0,5],[2,3,1,4,2,23,0,10,2,2,1,11,2,1,1,4,2,1,0,14,1,5,0,5,2,11,1,8,2,3,0,16,1,7,2,2,0,5,1,1,2,3,0,12,2,6,0,5],[3,3,1,3,0,5,2,6,0,1,2,15,0,7,2,2,1,10,2,3,1,1,0,17,1,4,2,2,0,4,2,11,1,8,2,2,0,9,2,3,1,14,0,21,2,11],[0,2,1,4,0,5,2,6,0,6,2,10,0,7,2,3,1,9,2,3,1,1,0,17,1,4,2,2,0,4,2,11,1,8,2,1,0,10,1,17,0,21,2,11],[0,2,1,4,0,5,2,6,0,9,2,9,0,5,2,3,1,9,2,3,1,1,0,11,1,9,2,3,0,4,2,10,1,7,2,1,0,12,3,1,1,16,0,25,2,7],[0,4,1,2,0,5,2,6,0,10,2,9,0,5,2,1,1,10,2,4,0,11,1,8,2,4,0,4,2,9,1,9,0,12,1,16,2,3,0,23,2,7],[0,4,1,2,0,5,2,4,0,14,2,7,0,7,1,10,2,3,0,9,1,9,2,3,0,6,2,6,1,12,0,10,1,17,2,4,0,25,2,3,1,2],[0,11,2,4,0,14,2,7,0,7,1,10,2,2,0,1,2,2,0,2,2,1,1,3,0,1,1,9,2,3,0,6,2,3,1,1,2,1,1,13,0,10,1,16,2,2,1,1,2,1,0,11,2,4,0,10,1,1,2,3,0,2],[0,11,3,1,2,3,0,14,2,8,0,6,1,10,2,5,0,2,1,14,2,3,0,6,2,3,1,16,2,2,1,2,2,6,1,15,2,1,1,3,0,10,2,6,0,9,1,1,2,3,0,2],[0,11,3,2,2,2,0,14,2,8,0,6,1,10,2,5,0,3,1,12,2,4,0,6,2,3,1,16,2,12,3,1,1,11,2,2,1,3,0,9,2,7,0,5,1,4,2,3,0,3],[0,9,3,3,2,5,0,14,2,6,0,6,1,10,2,8,1,13,2,3,0,4,2,5,1,17,2,11,3,1,1,10,2,4,1,1,2,1,0,6,2,10,0,5,1,1,2,6,0,3],[0,9,3,3,2,5,0,14,2,6,0,6,1,10,2,9,1,15,0,4,2,5,1,17,2,13,1,9,2,6,0,6,2,13,0,2,2,7,0,3],[0,7,3,6,0,18,2,6,0,6,1,10,2,8,3,1,1,8,2,3,0,1,1,2,0,5,2,5,1,15,0,6,2,12,1,5,2,9,0,4,2,22,0,3],[0,7,3,6,0,13,2,2,0,3,2,6,0,6,1,10,2,8,3,1,1,6,2,6,0,7,2,5,1,15,0,6,2,13,1,3,2,10,0,4,2,22,0,3],[0,7,3,1,0,18,2,2,0,1,2,8,0,6,1,10,2,4,0,4,3,2,1,2,3,4,2,5,0,7,2,5,1,15,0,10,2,9,1,3,2,9,0,9,2,16,0,5],[0,3,2,1,1,2,3,7,2,1,0,14,2,9,0,5,1,15,0,4,3,8,2,17,1,15,0,10,2,20,0,10,2,16,0,5],[0,3,2,1,0,9,2,1,0,14,1,1,2,12,1,16,0,4,2,1,3,7,2,17,1,15,0,12,2,7,0,4,2,7,0,10,2,14,0,7],[0,3,1,1,0,9,2,1,0,14,1,1,2,12,1,16,0,4,2,1,3,1,1,3,3,2,2,18,1,15,0,11,2,7,0,6,2,6,0,10,2,14,0,7],[0,3,1,1,0,9,2,1,0,14,2,13,1,16,0,4,2,1,3,1,0,7,2,3,3,1,2,12,1,14,0,12,2,6,0,7,2,10,0,6,2,4,0,17],[0,3,1,1,0,9,2,1,0,14,2,13,1,19,0,1,1,2,0,10,2,13,1,13,0,26,2,6,1,2,2,2,0,5,2,5,0,17],[0,3,1,1,0,9,2,1,0,13,2,10,0,1,2,3,1,22,0,11,2,12,1,13,0,26,2,4,0,4,3,2,0,5,2,5,0,17],[0,3,1,1,0,9,2,1,0,13,2,10,0,5,1,21,0,12,2,11,1,14,0,25,2,3,3,1,0,4,3,2,0,6,2,4,0,17],[0,3,1,1,0,9,2,1,0,1,2,2,0,10,2,7,0,8,1,19,3,2,0,12,2,11,1,14,0,23,2,6,0,13,2,3,0,17],[0,3,1,1,0,9,2,1,0,1,2,2,0,10,2,6,0,9,1,19,3,2,0,12,3,3,2,8,1,17,2,1,0,19,2,6,0,14,2,2,0,17],[0,3,1,1,0,9,3,1,0,1,2,2,0,8,2,4,0,1,2,2,0,9,1,20,0,14,3,3,2,8,1,17,2,1,0,19,2,4,0,16,2,2,0,10,2,6,0,1],[0,3,1,7,3,4,0,1,2,2,0,7,2,5,0,12,1,19,3,1,0,14,3,3,2,8,1,17,0,20,2,4,0,16,2,5,0,7,2,6,0,1],[0,15,2,2,0,7,2,5,0,10,2,2,1,19,3,1,0,14,3,3,2,8,1,16,0,19,2,6,0,16,2,5,0,7,2,4,0,3],[0,9,1,3,3,2,2,3,0,8,2,4,0,10,2,2,1,19,2,1,0,14,3,2,2,9,1,15,0,15,2,2,0,3,2,6,0,15,2,5,0,8,2,4,0,3],[0,9,1,5,2,3,0,8,2,4,0,8,2,5,1,17,2,2,0,14,1,1,2,10,1,15,0,8,2,2,0,5,2,2,0,1,2,12,0,8,2,8,0,8,2,4,0,3],[0,8,1,6,3,1,2,2,0,8,2,5,0,7,2,5,1,17,2,2,0,14,2,11,1,15,0,5,2,5,0,7,2,12,1,1,0,8,2,8,0,8,2,4,0,3],[0,1,1,2,0,4,1,7,3,1,2,4,0,6,2,5,0,7,2,6,1,17,2,2,0,13,2,11,1,18,2,7,0,7,2,6,0,1,2,4,1,3,0,1,1,2,2,4,1,1,2,6,0,5,2,10,0,1],[0,1,1,2,0,4,3,1,1,6,3,1,2,3,3,1,0,6,2,5,0,7,2,8,1,16,2,3,0,11,2,11,1,7,2,2,1,10,2,7,0,7,2,2,0,3,2,5,1,6,2,3,1,3,2,5,0,5,2,2,0,2,2,6,0,1],[0,1,1,2,0,4,3,2,0,6,2,3,3,1,0,6,2,5,0,11,2,5,1,15,2,3,1,1,0,6,2,4,1,6,2,4,1,7,2,3,1,11,2,6,0,12,2,8,1,4,2,3,1,2,2,5,0,3,2,1,0,2,2,1,0,2,2,7],[0,1,1,2,0,3,3,3,0,6,1,1,2,3,0,6,2,5,0,11,2,5,1,16,2,1,1,2,0,6,2,2,1,19,2,3,1,11,2,6,0,10,2,10,1,5,2,13,0,2,2,10],[0,6,3,3,0,6,1,2,2,2,0,4,2,7,0,11,2,4,1,18,2,2,0,4,2,3,1,20,2,4,1,10,2,7,0,9,2,8,1,7,2,25],[0,6,3,2,2,1,0,6,1,2,3,1,2,1,0,4,2,6,0,12,2,4,1,18,2,3,0,3,2,2,1,23,2,3,1,9,2,6,0,10,2,8,1,8,2,22,0,1,2,1],[0,5,3,2,2,2,0,6,1,3,2,9,0,12,2,5,1,18,2,4,0,3,2,1,1,25,2,3,1,4,2,1,0,3,2,6,0,10,2,14,1,3,2,8,1,1,2,9,0,4,2,1],[0,5,3,1,2,3,0,6,1,3,2,9,0,12,2,5,1,17,2,7,0,1,2,1,1,26,2,2,1,5,0,3,2,4,1,2,2,6,0,2,1,2,2,16,1,1,2,18,0,4,2,1],[0,7,2,6,1,5,2,7,0,14,2,4,1,18,2,9,1,32,0,4,2,12,0,2,2,12,0,5,2,1,0,2,2,8,1,2,0,1,2,6,0,5],[0,7,2,6,1,3,3,2,2,7,0,14,2,5,1,16,2,10,1,12,2,3,1,16,0,5,2,12,0,5,2,9,0,5,2,1,0,2,2,8,1,4,2,5,0,5],[0,7,2,5,1,1,0,4,3,2,2,4,0,18,2,3,1,14,2,6,0,3,2,4,1,8,2,6,1,15,0,6,2,12,0,5,2,9,0,5,2,9,1,7,2,6,0,3],[0,7,2,6,0,4,2,6,0,18,2,3,1,13,2,6,0,4,2,5,1,5,2,9,1,13,0,7,2,7,0,10,2,9,0,5,2,7,1,2,0,3,2,1,1,4,2,5,0,3],[0,41,2,3,1,12,2,7,0,6,2,4,1,3,2,11,1,12,0,7,2,4,0,2,2,1,0,15,2,6,0,2,2,8,1,2,0,3,2,1,1,5,2,4,3,2,0,1],[0,41,2,1,1,15,2,6,0,5,2,7,1,1,2,11,1,12,0,7,2,4,0,2,2,1,0,16,2,16,1,1,0,3,2,1,1,6,2,3,3,2,0,1],[0,37,2,4,1,18,2,2,0,7,2,3,0,6,2,10,1,12,2,12,0,21,2,15,0,4,1,5,2,3,3,2,0,1],[0,37,2,4,1,18,2,2,0,8,2,2,0,6,2,8,1,16,2,10,0,22,2,5,0,2,2,7,0,4,1,2,3,3,2,2,0,1,2,2,0,1],[0,27,2,2,0,8,2,3,1,20,2,1,0,8,2,2,0,6,2,7,1,18,2,1,0,2,2,4,0,25,2,4,0,2,2,7,0,4,1,2,2,9],[0,27,2,2,0,8,2,2,1,21,2,2,0,2,1,1,2,1,0,2,2,3,0,6,2,5,1,18,2,3,0,2,2,4,0,25,2,3,0,3,2,7,0,4,2,2,0,3,2,6],[0,27,2,2,0,8,2,1,1,22,2,3,1,2,2,8,0,4,2,6,1,17,0,7,2,2,0,10,2,4,0,10,2,4,0,3,2,2,0,11,2,1,0,2,2,6],[0,26,2,3,0,7,2,1,1,24,2,2,1,2,2,8,0,4,2,6,1,16,0,8,2,2,0,10,2,4,0,10,2,4,0,16,2,9],[0,26,2,4,1,1,0,4,2,1,1,24,2,13,0,4,2,6,1,16,0,8,2,2,0,10,2,4,0,12,2,2,0,18,2,2,0,4,2,1],[0,26,2,4,1,1,2,3,1,2,2,4,1,19,2,24,1,16,0,8,2,2,0,10,3,2,2,2,0,12,2,2,0,18,2,2,0,4,2,1],[0,26,2,2,0,2,2,1,1,5,2,5,1,17,2,9,0,4,2,13,1,17,0,6,2,4,0,6,1,2,0,16,2,2,0,25],[0,30,1,7,2,4,1,14,2,12,0,4,2,12,1,18,0,6,2,4,0,6,1,2,0,15,2,4,0,6,2,2,0,16],[0,30,1,7,2,1,1,1,2,4,1,11,2,9,0,8,2,2,0,1,2,9,1,18,0,6,2,4,0,23,2,5,0,4,2,3,0,16],[0,31,1,6,2,6,1,11,2,9,0,7,2,3,0,6,2,4,1,1,2,1,1,16,0,6,2,4,0,21,2,7,0,4,2,2,0,17],[0,29,2,1,1,7,2,6,1,11,2,2,1,2,2,4,0,8,2,3,0,8,2,5,1,16,2,1,0,4,2,6,0,19,2,7,0,16,2,2,0,5],[0,29,2,1,1,7,2,3,1,1,2,1,1,12,2,2,1,2,2,5,0,5,2,2,0,1,2,2,0,8,2,5,1,16,2,1,0,4,2,7,0,18,2,7,0,16,2,2,0,5],[0,29,2,2,1,7,2,1,1,15,2,8,0,1,2,4,1,6,2,2,0,6,2,5,1,16,2,15,0,15,2,7,0,16,2,2,0,5],[0,29,2,2,1,24,2,4,0,3,2,3,1,10,0,6,2,5,1,16,2,14,0,12,2,2,0,4,2,5,0,16,2,2,0,5],[0,29,2,2,1,24,2,4,0,3,2,2,1,12,2,1,0,4,2,5,1,16,2,5,0,18,2,5,0,4,2,2,0,1,2,4,0,10,2,10,0,1],[0,29,2,2,1,25,2,3,0,4,2,1,1,13,2,1,0,3,2,5,1,16,2,5,0,18,2,5,0,7,2,4,0,9,2,11,0,1],[0,27,2,5,1,24,2,3,0,4,2,1,1,13,2,8,1,16,2,5,1,1,0,18,2,6,0,8,2,2,0,9,2,12],[0,27,2,6,1,24,2,2,0,4,2,1,1,13,2,8,1,15,2,6,1,1,0,18,2,6,0,8,2,2,0,5,2,16],[0,27,2,6,1,23,2,2,1,1,0,4,2,1,1,13,0,1,2,6,1,15,2,7,1,2,2,1,0,16,2,6,0,8,2,2,0,4,2,7,0,9,2,1],[0,27,1,1,2,6,1,22,2,2,1,2,2,3,1,14,0,3,2,4,1,14,2,11,0,15,2,7,0,8,2,2,0,4,2,6,0,10,2,1],[0,27,1,1,2,6,1,22,2,2,1,2,2,3,1,14,0,3,2,3,1,15,2,8,0,1,2,8,0,9,2,7,0,8,2,9,0,13,2,1],[0,26,1,2,2,8,1,23,2,5,1,13,0,3,2,3,1,15,2,4,0,5,2,9,0,6,2,9,0,8,2,8,0,14,2,1],[0,21,2,2,1,4,2,4,0,7,1,20,2,2,0,11,1,6,0,3,2,3,1,16,2,3,0,7,2,7,0,6,2,8,1,1,0,10,2,5,0,9,2,7],[0,21,2,1,1,5,2,5,0,6,1,20,2,2,0,3,2,1,3,1,0,10,1,1,2,1,0,3,2,3,1,18,0,8,2,7,0,7,2,8,0,10,2,4,0,10,2,7],[0,21,1,6,2,5,0,6,1,19,2,3,0,17,2,5,1,10,2,1,1,8,2,4,0,5,2,7,0,6,2,12,0,16,2,11],[0,21,1,6,2,5,0,6,1,18,2,3,0,17,2,6,1,9,2,3,1,5,2,5,1,1,0,8,2,4,0,6,2,13,0,15,2,11],[0,23,1,5,2,4,0,5,2,1,1,18,2,3,0,17,2,6,1,8,2,5,1,4,2,6,0,9,2,13,0,6,2,4,0,12,2,7,0,6],[0,23,1,6,2,3,0,5,2,2,1,16,2,4,0,18,2,5,1,7,2,7,1,4,2,6,0,9,2,12,0,6,2,4,0,12,2,5,0,8],[0,23,1,6,2,10,1,16,2,4,0,18,2,4,1,8,2,9,1,2,2,3,1,3,0,9,2,10,0,8,2,6,0,8,2,7,0,8],[0,23,1,11,2,5,1,17,2,4,0,17,2,4,1,8,2,8,0,17,2,6,1,1,2,4,0,8,2,6,0,7,2,5,0,11],[0,25,1,10,2,3,1,18,2,4,0,17,2,4,1,11,2,1,0,21,2,4,0,16,2,5,0,4,2,8,0,11],[0,25,1,32,2,3,0,14,2,7,1,9,2,3,0,42,2,5,0,3,2,8,0,11],[0,25,1,4,0,3,1,25,2,5,0,2,2,17,1,8,2,4,0,45,2,9,0,15],[0,25,1,4,0,4,1,25,2,4,0,2,2,17,1,8,2,4,0,11,2,2,0,33,2,8,0,15],[0,2,2,11,0,12,1,2,0,7,1,25,2,3,1,2,2,9,1,1,2,7,1,8,2,4,0,11,2,2,0,34,2,7,0,10,2,5],[0,2,2,1,0,9,2,1,0,11,1,3,0,9,1,24,2,10,1,6,2,5,1,9,2,6,0,6,2,4,0,16,2,2,0,17,2,6,0,10,2,4,0,1],[0,2,2,1,0,9,2,1,0,11,1,1,3,2,0,9,2,1,1,23,2,9,1,7,2,5,1,10,2,6,0,4,2,6,0,15,2,2,0,38],[0,2,2,1,0,9,2,1,0,11,3,3,2,1,0,6,2,1,1,1,2,1,1,24,2,8,1,7,2,4,1,12,2,5,0,4,2,6,0,55],[0,2,2,1,0,9,2,1,0,10,1,1,2,10,1,2,2,2,1,27,2,4,1,2,2,4,1,1,2,4,1,13,2,2,0,6,2,8,0,18,2,4,0,24,2,1,0,6],[0,2,2,1,0,9,2,1,0,10,2,15,1,33,2,3,1,20,2,1,0,6,2,8,1,1,0,14,2,2,0,1,2,7,0,21,2,1,0,6],[0,2,2,1,0,9,2,1,0,1,2,1,0,6,2,17,1,56,2,1,0,6,2,6,1,3,0,13,2,12,0,20,2,1,0,5,1,1],[0,2,2,1,0,9,2,1,0,1,2,1,0,6,2,16,1,57,2,1,0,6,2,6,1,2,2,1,0,8,2,2,0,3,2,12,0,20,2,1,0,5,1,1],[0,2,2,1,0,9,2,1,0,1,2,1,0,6,2,12,1,60,2,17,0,7,2,20,0,14,2,5,0,6],[0,2,2,1,0,9,2,1,0,1,2,1,0,6,2,9,1,63,2,17,0,6,2,22,0,13,2,5,0,6],[0,2,2,1,1,3,3,3,2,4,0,8,2,9,1,64,2,16,0,5,2,16,1,1,2,6,0,13,2,5,0,6],[0,7,1,1,0,12,2,10,1,18,2,5,1,42,2,2,1,1,2,4,0,3,2,5,0,5,2,16,1,1,2,10,0,9,2,6,0,5],[0,7,1,1,2,4,0,8,2,9,1,11,0,2,1,6,2,5,1,46,2,3,0,4,2,6,1,2,2,10,1,2,2,4,0,5,2,4,1,4,0,6,2,8,0,5],[0,7,1,1,2,5,0,7,2,9,1,11,0,3,1,5,2,5,1,2,2,4,1,41,0,7,2,3,1,4,2,15,0,6,2,5,1,4,0,5,1,1,2,5,0,7],[0,7,1,1,2,5,0,4,2,11,1,12,0,3,1,1,2,2,1,2,2,5,1,2,2,5,1,40,0,8,2,2,1,3,2,6,0,3,2,5,0,10,2,7,0,5,1,1,2,4,0,8],[0,7,2,2,0,1,2,3,0,4,2,2,1,2,2,6,1,10,2,1,1,1,0,4,1,1,2,2,1,2,2,12,1,40,0,8,2,2,1,1,2,8,0,3,2,5,0,9,2,10,0,2,1,1,2,4,0,9],[3,1,1,2,0,6,2,10,1,3,2,5,1,8,2,3,0,9,2,15,1,38,0,8,2,4,0,3,2,4,0,3,2,5,0,9,2,11,1,3,2,3,0,9],[3,2,1,2,2,15,1,4,2,4,1,7,2,2,0,11,2,17,1,36,0,8,2,4,0,3,1,1,2,3,0,5,2,3,0,12,2,8,1,4,2,2,0,9],[2,19,1,6,2,3,1,5,2,3,0,11,2,18,1,32,0,1,1,2,0,7,2,5,0,3,1,2,0,7,2,7,0,8,2,8,1,4,0,11],[2,1,0,5,2,13,1,7,2,1,1,4,0,16,2,19,1,29,2,2,0,9,2,6,0,3,1,2,0,8,2,6,0,8,2,8,1,4,0,11],[2,1,0,5,2,8,0,4,2,1,1,3,0,2,1,6,0,28,2,16,1,6,0,7,1,4,0,15,2,6,0,15,2,6,0,29],[2,1,0,24,1,1,2,3,0,34,2,14,1,2,0,8,1,4,0,15,2,6,0,15,2,6,0,29],[0,25,2,2,0,36,2,15,1,1,0,27,2,6,0,15,2,6,0,29],[0,25,2,2,0,36,2,16,0,28,2,5,0,15,2,6,0,29],[0,63,2,16,0,28,2,6,0,14,2,8,0,27],[0,63,2,16,0,28,2,6,0,14,2,8,0,27],[0,63,2,16,0,29,2,9,0,8,2,4,0,33],[0,63,2,16,0,30,2,13,0,3,2,4,0,33],[0,63,2,20,0,29,2,17,0,33],[0,63,2,20,0,30,2,16,0,33],[0,55,3,1,2,29,0,29,2,6,0,42],[0,55,3,1,2,29,0,33,2,2,0,42],[0,55,3,1,2,29,0,33,2,1,1,1,0,42],[0,55,2,30,0,77],[0,59,2,8,0,4,2,1,0,90],[0,59,2,8,0,95],[0,61,2,6,0,95],[0,61,2,6,0,95],[0,61,2,6,0,95],[0,61,2,6,0,95],[0,61,2,6,0,95],[0,61,2,1,1,2,2,3,0,95],[0,63,3,2,0,97]]} +{"_comment":"Static land/water mask. SAILABLE WATER = the map's own PATHING MAP (data/extracted/war3map.wpm, bit 0x40 = no-water, 4x4 32u subcells per 128u tile, majority vote): the engine's truth for where ships could actually sail in the original. This REPLACES the minimap NON-BLUE colour key (~0.66 water), which over-watered: green 'shallow' paint is often visually-wet-but-UNSAILABLE, merging lanes the real map separates (owner-reported 2026-07-08: the NE lane must NOT merge into the east-edge lane; the wpm separates them). The wpm reads ~0.55 sailable over the playable crop and all 26 known anchors (HQs, harbours, spawns, lane waypoints) sit sailable. The ONLY additions on top of the raw wpm grid are MINIMAL 1-cell connectivity necks (so every shop + dock/spawn reaches the sea and the two bases stay water-connected) PLUS the two owner-approved WEST sail-around island moats (Swedish Lumber Mill, Goblin Potion Dealer: land core + thin 1-cell navigable ring + EXACTLY ONE entrance; deterministic post-step). water=true is ship-navigable. The OPTIONAL `depth` field (0=land,1=deep,2=shallow,3=pink) is additive render metadata the SIM IGNORES; the minimap colours band each FINAL water cell so a client paints the water shades like the original. Regenerate with: make terrain (tools/extractor/terrain.py; pure stdlib, reads wpm+w3e+PNG, no venv). yOrientation 'top-down' means rle row 0 is the NORTH (max-Y) edge.","source":"data/extracted/war3map.wpm (pathing map, bit 0x40=no-water; THE sailability authority) + data/extracted/war3map.w3e (grid geometry) + data/reference/war3mapMap.png (depth render metadata only)","target":"the original map's enforced ship-pathing (wpm no-water), cropped to the playable rectangle","rule":"water = wpm NOT-no-water majority over the 16 32u subcells per 128u tile, MINUS singleton speckle, PLUS minimal 1-cell connectivity necks (Dijkstra cost 1 water / 30 land) for shops, docks/spawns and base-to-base, PLUS the two carved WEST sail-around island moats (compact land core + thin 1-cell water ring + exactly one entrance) around the Swedish Lumber Mill and Goblin Potion Dealer shops. depth sub-classifies FINAL water cells from the minimap colours for RENDER only: DEEP (R-B>35 AND R>=G), PINK (R>150 AND B>120 AND R-G>15), else SHALLOW; a water cell whose pixels read land-blue falls back to SHALLOW.","playableBounds":{"minX":-5376.0,"minY":-7424.0,"maxX":4864.0,"maxY":6912.0},"bounds":{"minX":-5440.0,"minY":-7488.0,"maxX":4928.0,"maxY":6976.0},"cols":162,"rows":226,"cellSizeX":64.0,"cellSizeY":64.0,"yOrientation":"top-down","yOrientationNote":"rle row 0 = max-Y (north); last row = min-Y (south). col 0 = min-X (west). col=floor((x-minX)/cellSizeX), row=floor((maxY-y)/cellSizeY). The minimap is north-up; tiles are sampled at their world centers via the content-box registration, emit row 0 = north, matching sim isWater.","rleFormat":"water[r] = [leadingValue, run0, run1, ...]; runs alternate from leadingValue (0=land,1=water) and sum to cols.","depthRleFormat":"OPTIONAL render metadata, the sim IGNORES it. depth[r] = [value0, run0, value1, run1, ...] (explicit value per run; values 0=land, 1=deep, 2=shallow, 3=pink; runs sum to cols). depth[r][col]>0 IFF water[r][col]==1 (exactly consistent with the authoritative `water` mask). Carved necks/moats with no minimap colour emit as shallow (2).","waterFraction":0.51311,"validation":{"hqsOnWater":"2/2","harboursOnWater":"4/4","playerSpawnsOnWater":"12/12","lanes":["south-west: spawnWater=True connToEnemyHQ=True","south-east: spawnWater=True connToEnemyHQ=True","north-west: spawnWater=True connToEnemyHQ=True","north-east: spawnWater=True connToEnemyHQ=True"],"basesConnected":true,"shopsReachable":"16/16","shopReach":["Swedish Lumber Mill: reachable=True nearestSeaCells=1","Goblin Potion Dealer: reachable=True nearestSeaCells=1","Elven Library: reachable=True nearestSeaCells=0","Ship Wreck: reachable=True nearestSeaCells=0","Elven Library: reachable=True nearestSeaCells=4","Ale Brewery: reachable=True nearestSeaCells=2","Equipment Merchant: reachable=True nearestSeaCells=3","Heavy Weapons Merchant: reachable=True nearestSeaCells=2","Weapons Merchant: reachable=True nearestSeaCells=4","Equipment Merchant: reachable=True nearestSeaCells=2","Bill (Trade Master): reachable=True nearestSeaCells=3","Pirate Boat Merchant: reachable=True nearestSeaCells=0","Will (Trade Master): reachable=True nearestSeaCells=4","Weapons Merchant: reachable=True nearestSeaCells=2","Heavy Weapons Merchant: reachable=True nearestSeaCells=3","Goblin Bomb Shop: reachable=True nearestSeaCells=0"],"repairRegionsReachable":"2/2","repairRegionReach":["Repair_Station_South: reachable=True","Repair_Station_North: reachable=True"],"waterFraction":0.5131,"eastThirdWaterRun":"median=6.0 mean=8.57 count=567","bottomRightWaterRun":"median=5.0 mean=5.87 count=200","necks":{"basePlatformCellsAdded":1,"connectivityNeckCellsAdded":0,"shopNeckCellsAdded":4,"repairRegionNeckCellsAdded":0,"waterFractionBefore":0.5136,"waterFractionAfter":0.5137,"shopsReachable":"16/16","repairRegionsReachable":"2/2","singletonCellsDropped":0,"straddledChannelCellsRestored":0,"ownerLaneGates":[{"gate":"north-most lane: east leg (owner's arrow)","row":22,"blocked":2,"widthUnits":128}],"westIslandLoops":{"Swedish Lumber Mill":{"shopCell":[12,123],"anchor":[8,123],"shopInCore":true,"shopInRing":false,"shopOnLand":true,"cycleLen":40,"entranceCells":[[7,117]],"entrances":1,"cellsChanged":93},"Goblin Potion Dealer":{"shopCell":[7,192],"anchor":[7,188],"shopInCore":true,"shopInRing":false,"shopOnLand":true,"cycleLen":40,"entranceCells":[[7,194]],"entrances":1,"cellsChanged":49},"waterFractionBefore":0.5137,"waterFractionAfter":0.5131,"totalCellsChanged":142}},"laneTopologyVsWpm":{"anchors":22,"pairwiseMismatches":0},"sideRoutes":{"westLumberMillIsland":{"islandLandCells":81,"ringWaterCells":36,"entrances":1},"westGoblinPotionIsland":{"islandLandCells":81,"ringWaterCells":36,"entrances":1},"eastBreweryWrap":{"brewerySeaReachable":true,"farEastNorthWaterCells":226},"bottomRightWinding":{"tanSegments":196,"tanMaxRun":27,"windingNotBlob":false}},"wpmAgreement":0.9959,"wpmConfusion":"agree=0.9959 ours-only(necks/moats)=0.0018 ref-only(denoised)=0.0023","depthSplitLandDeepShallowPink":[0.4869,0.2337,0.2719,0.0075],"colourKeyAgreement":0.6694},"water":[[0,162],[0,162],[0,162],[0,71,6,85],[0,71,6,85],[0,57,2,12,6,85],[0,57,2,12,6,85],[0,47,2,7,7,8,6,85],[0,47,2,7,7,8,6,85],[0,47,4,4,22,85],[0,47,4,4,22,85],[0,47,32,54,2,27],[0,47,32,54,2,27],[0,55,30,44,8,25],[0,55,30,44,8,25],[0,57,28,40,14,23],[0,57,28,37,20,20],[0,57,20,45,7,8,5,20],[0,57,20,45,7,8,5,20],[0,57,20,45,5,11,5,19],[0,57,20,45,5,12,5,18],[0,57,18,46,4,15,4,18],[0,57,18,46,4,37],[0,57,18,48,2,16,4,17],[0,57,19,47,2,16,4,17],[0,7,8,28,33,5,12,18,4,8,2,18,2,17],[0,7,8,28,37,1,13,6,4,6,5,8,2,18,3,16],[0,7,10,24,54,5,5,5,7,6,4,16,3,11,3,2],[0,7,10,24,54,5,5,1,2,2,8,5,4,9,4,2,4,11,3,2],[0,7,11,15,2,4,56,4,30,6,11,7,3,1,5],[0,7,12,9,2,3,2,4,56,3,31,6,2,1,8,7,9],[0,9,26,4,56,3,29,8,11,7,9],[0,9,26,4,56,3,28,9,13,5,9],[0,9,3,2,21,4,88,6,28,1],[0,9,2,1,116,5,18,1,9,1],[0,12,106,5,6,4,6,4,12,1,4,2],[0,11,104,8,6,4,6,4,18,1],[0,13,14,3,79,15,15,5,18],[0,13,15,2,74,1,4,16,14,6,16,1],[0,13,15,2,68,29,12,6,13,4],[0,2,2,9,84,30,13,5,5,1,6,5],[1,4,9,84,20,2,18,1,1,1,10,6,6],[1,3,1,2,2,89,13,2,4,3,18,2,23],[1,97,12,14,39],[1,29,3,65,12,17,36],[0,3,26,3,65,13,23,29],[0,2,7,4,16,3,66,12,23,29],[0,2,7,4,16,3,35,8,4,4,16,11,10,3,18,18,3],[0,2,7,4,16,4,34,8,4,4,16,7,14,3,18,1,2,15,3],[0,2,7,4,5,13,31,15,2,4,14,8,15,7,2,3,13,10,6,1],[0,3,7,3,4,14,31,15,2,4,14,8,15,7,2,8,9,9,6,1],[1,17,19,26,15,2,4,14,8,15,18,2,1,5,7,6,3],[1,17,20,27,12,6,1,14,8,12,24,7,5,6,3],[1,17,21,28,10,21,8,12,26,12,7],[1,17,21,28,12,20,6,13,26,12,7],[1,19,14,2,3,27,13,21,5,11,8,2,20,9,8],[1,19,14,2,3,27,11,5,4,15,4,11,8,2,20,9,8],[1,13,20,2,3,26,12,5,4,15,4,10,9,2,10,4,9,6,8],[1,13,20,2,3,24,15,4,4,15,5,9,6,5,10,5,22],[1,13,20,2,3,24,3,2,9,5,4,15,3,11,5,8,8,8,19],[1,13,20,29,13,6,4,15,3,10,3,12,7,8,19],[0,4,9,6,2,12,29,3,12,4,32,3,13,6,10,17],[0,5,11,3,2,12,44,4,32,3,29,17],[0,6,17,11,43,4,64,4,2,11],[0,9,15,10,44,3,64,1,6,10],[0,10,17,7,30,2,87,9],[0,11,17,6,29,3,87,9],[0,19,12,3,28,4,5,9,73,9],[0,19,43,5,4,9,76,6],[0,21,41,7,2,9,76,5,1],[0,21,43,4,3,7,78,5,1],[0,21,43,4,5,4,79,6],[0,21,42,1,9,1,81,7],[0,25,129,8],[0,25,2,4,120,11],[0,32,119,11],[0,33,118,11],[0,33,66,4,48,11],[0,33,66,4,48,11],[0,11,8,18,62,10,5,2,34,12],[0,11,8,18,62,9,6,3,5,3,16,21],[0,7,16,14,62,9,6,4,4,40],[0,7,16,14,63,4,2,3,4,49],[0,5,7,3,12,11,62,3,10,49],[0,4,7,4,12,14,20,3,3,6,3,2,21,3,3,1,7,49],[0,3,7,5,10,16,20,3,2,7,3,2,35,48,1],[1,2,1,7,5,10,13,2,1,20,12,3,2,35,48,1],[1,2,1,7,5,7,16,23,12,40,6,2,32,4,5],[0,3,6,6,6,17,26,8,39,8,2,32,4,5],[0,3,6,6,6,17,26,8,31,4,4,6,4,20,4,4,8,5],[0,2,7,5,10,15,28,3,33,4,4,6,4,20,4,4,8,5],[0,2,5,7,11,13,63,6,5,7,2,10,26,5],[0,5,3,6,11,13,64,5,5,7,2,10,26,5],[0,5,3,5,14,11,64,5,5,21,22,7],[0,5,3,5,14,10,64,6,4,22,23,6],[0,5,14,1,2,3,2,6,33,2,33,4,6,23,22,6],[0,5,14,6,2,6,32,6,30,4,8,22,21,6],[0,6,13,6,2,6,31,9,5,3,20,4,8,22,22,5],[0,8,12,5,2,6,31,9,4,4,20,3,9,9,2,11,23,4],[0,8,19,12,28,6,4,4,29,12,5,8,6,4,13,4],[0,8,19,12,28,5,6,3,30,11,6,7,6,4,11,6],[0,8,19,13,22,10,6,5,26,12,8,6,6,8,7,6],[0,4,26,10,21,12,5,5,26,12,8,6,6,8,7,6],[0,3,27,10,19,14,5,5,22,16,8,6,4,11,7,5],[1,30,10,19,14,5,5,22,16,9,5,4,12,6,5],[1,6,5,6,1,15,7,16,17,6,4,21,9,17,21,11],[0,2,4,5,6,6,10,7,16,17,6,4,20,10,17,21,11],[0,2,4,5,6,9,9,5,16,11,12,4,18,12,17,25,7],[0,4,2,5,6,10,9,5,15,11,12,4,18,12,19,23,7],[0,4,2,5,4,14,7,7,13,9,12,6,18,10,21,25,5],[0,11,4,14,7,7,12,1,2,2,4,1,12,6,18,10,20,11,4,10,4,2],[0,11,4,14,8,6,15,2,17,6,48,10,6,9,4,2],[0,11,4,14,8,6,15,3,16,6,48,9,7,5,7,3],[0,9,8,14,6,6,34,4,50,6,10,5,7,3],[0,9,8,14,6,6,34,4,50,6,13,2,7,3],[0,7,6,18,6,6,30,1,2,5,20,6,26,4,22,3],[0,7,6,13,2,3,6,6,31,7,20,6,26,4,22,3],[0,7,1,18,2,1,8,6,14,4,13,7,20,10,21,9,16,5],[0,3,11,14,9,5,15,4,40,10,20,10,16,5],[0,3,1,9,1,14,29,4,40,12,7,4,7,10,14,7],[0,3,1,9,1,14,29,4,40,11,7,6,6,10,14,7],[0,3,1,9,1,14,29,4,2,7,30,12,6,7,10,6,4,17],[0,3,1,9,1,14,32,1,2,10,26,26,10,5,5,17],[0,3,1,9,1,13,10,1,25,11,25,26,4,4,2,5,5,17],[0,3,1,9,1,13,10,5,21,12,25,25,4,4,2,6,4,17],[0,3,1,9,1,1,2,10,7,8,21,12,25,23,6,13,3,17],[0,3,1,9,1,1,2,10,6,9,21,12,29,19,6,14,2,17],[0,3,1,9,1,1,2,8,4,1,2,9,20,14,29,19,4,16,2,10,6,1],[0,3,11,1,2,7,5,12,20,14,28,20,4,16,5,7,6,1],[0,15,2,7,5,10,22,14,27,19,6,16,5,7,4,3],[0,9,8,8,4,10,22,14,26,15,2,3,6,15,5,8,4,3],[0,9,8,8,4,8,24,14,26,8,2,5,2,1,12,8,8,8,4,3],[0,8,9,8,5,7,24,14,26,5,5,7,13,8,8,8,4,3],[0,1,2,4,12,6,5,7,25,13,36,7,6,1,7,1,13,5,10,1],[0,1,2,4,12,6,5,7,27,11,37,7,2,3,22,5,2,2,6,1],[0,1,2,4,2,6,4,6,5,11,24,6,41,12,22,3,1,2,1,2,7],[0,1,2,3,3,6,4,6,5,11,24,6,41,10,28,2,10],[0,6,3,6,4,4,7,11,24,4,44,9,40],[0,6,3,6,4,4,6,12,25,3,43,10,38,1,1],[0,5,4,6,12,12,27,3,34,3,6,10,35,4,1],[0,5,4,6,12,12,29,1,34,3,12,2,37,4,1],[0,7,18,14,63,4,12,2,12,5,1,2,10,1,6,5],[0,7,18,14,62,5,12,5,9,5,1,2,17,5],[0,7,6,4,6,18,23,3,33,6,12,5,9,5,22,3],[0,7,6,4,6,18,22,4,32,7,7,10,9,5,9,3,10,3],[0,41,22,6,30,7,4,2,1,15,6,2,10,3,12,1],[0,41,22,5,31,7,4,2,1,16,17,3,12,1],[0,37,24,7,3,6,34,21,15,4,10,1],[0,37,24,8,2,6,34,22,5,2,7,4,7,1,2,1],[0,27,2,8,24,8,2,6,26,2,4,25,4,2,7,4,11],[0,27,2,8,25,2,2,2,3,6,26,2,4,25,3,3,7,4,2,3,6],[0,27,2,8,36,4,23,7,2,10,4,10,4,3,2,11,1,2,6],[0,26,3,7,37,4,22,8,2,10,4,10,4,16,9],[0,26,5,4,38,4,22,8,2,10,4,12,2,18,2,4,1],[0,26,73,8,2,10,4,12,2,18,2,4,1],[0,26,2,2,37,4,30,6,4,6,2,16,2,25],[0,30,37,4,30,6,4,6,2,15,4,6,2,16],[0,30,33,8,2,1,27,6,4,23,5,4,3,16],[0,31,32,7,3,6,22,6,4,21,7,4,2,17],[0,29,33,8,3,8,22,4,6,19,7,16,2,5],[0,29,34,5,2,1,2,8,22,4,7,18,7,16,2,5],[0,29,33,1,12,6,36,15,7,16,2,5],[0,29,30,3,13,6,35,12,2,4,5,16,2,5],[0,29,30,3,15,4,26,18,5,4,2,1,4,10,10,1],[0,29,30,4,15,3,26,18,5,7,4,9,11,1],[0,27,32,4,44,18,6,8,2,9,12],[0,27,32,4,44,18,6,8,2,5,16],[0,27,32,4,14,1,31,16,6,8,2,4,7,9,1],[0,27,50,3,29,15,7,8,2,4,6,10,1],[0,27,50,3,26,1,8,9,7,8,9,13,1],[0,26,51,3,22,5,9,6,9,8,8,14,1],[0,21,10,7,22,11,6,3,22,7,7,6,9,10,5,9,7],[0,21,11,6,22,3,2,10,2,3,21,8,7,7,8,10,4,10,7],[0,21,11,6,22,17,28,5,7,6,12,16,11],[0,21,11,6,21,17,29,8,4,6,13,15,11],[0,23,9,5,22,17,29,9,13,6,4,12,7,6],[0,23,9,5,22,18,29,9,12,6,4,12,5,8],[0,23,36,18,29,9,10,8,6,8,7,8],[0,23,37,17,20,17,11,8,6,7,5,11],[0,25,35,17,16,21,4,16,5,4,8,11],[0,25,35,14,19,42,5,3,8,11],[0,25,4,3,30,2,29,45,9,15],[0,25,4,4,29,2,29,11,2,33,8,15],[0,2,11,12,2,7,59,11,2,34,7,10,5],[0,2,1,9,1,11,3,9,60,6,4,16,2,17,6,10,4,1],[0,2,1,9,1,11,3,9,61,4,6,15,2,38],[0,2,1,9,1,11,4,6,63,4,6,55],[0,2,1,9,1,10,72,6,8,18,4,24,1,6],[0,2,1,9,1,10,72,6,9,14,2,1,7,21,1,6],[0,2,1,9,1,1,1,6,74,6,9,13,12,20,1,5,1],[0,2,1,9,1,1,1,6,74,6,9,8,2,3,12,20,1,5,1],[0,2,1,9,1,1,1,6,89,7,20,14,5,6],[0,2,1,9,1,1,1,6,89,6,22,13,5,6],[0,2,11,8,89,5,23,13,5,6],[0,7,1,12,82,3,5,5,27,9,6,5],[0,7,5,8,20,2,60,4,24,5,8,6,8,5],[0,7,6,7,20,3,57,7,22,6,9,5,6,7],[0,7,6,4,23,3,57,8,11,3,5,10,7,5,5,8],[0,7,2,1,3,4,22,4,57,8,11,3,5,9,10,2,5,9],[1,3,6,29,9,53,8,4,3,4,3,5,9,17,9],[1,36,11,53,8,4,3,4,5,3,12,14,9],[1,36,11,50,1,2,7,5,3,2,7,7,8,12,11],[1,1,5,25,16,50,9,6,3,2,8,6,8,12,11],[1,1,5,8,4,4,2,6,28,22,7,4,15,6,15,6,29],[1,1,24,4,34,16,8,4,15,6,15,6,29],[0,25,2,36,16,27,6,15,6,29],[0,25,2,36,16,28,5,15,6,29],[0,63,16,28,6,14,8,27],[0,63,16,28,6,14,8,27],[0,63,16,29,9,8,4,33],[0,63,16,30,13,3,4,33],[0,63,20,29,17,33],[0,63,20,30,16,33],[0,55,30,29,6,42],[0,55,30,33,2,42],[0,55,30,33,2,42],[0,55,30,77],[0,59,8,4,1,90],[0,59,8,95],[0,61,6,95],[0,61,6,95],[0,61,6,95],[0,61,6,95],[0,61,6,95],[0,61,6,95],[0,63,2,97]],"depth":[[0,162],[0,162],[0,162],[0,71,2,6,0,85],[0,71,2,6,0,85],[0,57,2,2,0,12,2,6,0,85],[0,57,2,2,0,12,2,6,0,85],[0,47,2,2,0,7,2,7,0,8,2,6,0,85],[0,47,2,2,0,7,2,7,0,8,2,6,0,85],[0,47,2,4,0,4,2,22,0,85],[0,47,2,4,0,4,2,22,0,85],[0,47,2,15,1,10,2,7,0,54,2,2,0,27],[0,47,2,14,1,13,2,5,0,54,2,2,0,27],[0,55,2,5,1,16,2,9,0,44,2,8,0,25],[0,55,2,5,1,16,2,9,0,44,2,8,0,25],[0,57,2,4,1,16,2,8,0,40,2,14,0,23],[0,57,2,4,1,16,2,8,0,37,2,20,0,20],[0,57,2,3,1,17,0,45,2,7,0,8,2,5,0,20],[0,57,2,2,1,18,0,45,2,2,1,2,2,3,0,8,2,5,0,20],[0,57,2,2,1,18,0,45,2,2,1,3,0,11,2,5,0,19],[0,57,1,20,0,45,2,3,1,1,2,1,0,12,2,5,0,18],[0,57,1,18,0,46,2,4,0,15,2,4,0,18],[0,57,1,18,0,46,2,4,0,37],[0,57,1,18,0,48,2,2,0,16,2,4,0,17],[0,57,1,19,0,47,2,2,0,16,2,4,0,17],[0,7,2,4,1,4,0,28,1,33,0,5,1,3,2,2,1,7,0,18,2,4,0,8,2,2,0,18,2,2,0,17],[0,7,2,3,1,5,0,28,1,37,0,1,1,13,0,6,2,4,0,6,2,5,0,8,2,2,0,18,2,3,0,16],[0,7,2,3,1,7,0,24,1,54,0,5,2,5,0,5,2,7,0,6,2,4,0,16,2,3,0,11,2,3,0,2],[0,7,2,3,1,7,0,24,1,54,0,5,2,5,0,1,2,2,0,2,2,8,0,5,2,4,0,9,2,4,0,2,2,4,0,11,2,3,0,2],[0,7,2,3,1,8,0,15,2,1,1,1,0,4,1,56,0,4,2,30,0,6,2,11,0,7,2,3,0,1,2,5],[0,7,1,1,2,2,1,9,0,9,2,1,1,1,0,3,1,1,2,1,0,4,1,31,2,2,1,3,2,6,1,1,2,2,1,11,0,3,2,31,0,6,2,2,0,1,2,8,0,7,2,9],[0,9,2,1,1,11,2,8,1,4,2,2,0,4,1,25,2,3,1,3,2,7,1,1,2,7,1,10,0,3,2,29,0,8,2,11,0,7,2,9],[0,9,2,2,1,11,2,8,1,3,2,2,0,4,1,24,2,22,1,10,0,3,2,28,0,9,2,13,0,5,2,9],[0,9,2,3,0,2,2,2,1,6,2,11,1,2,0,4,1,23,2,22,1,12,2,31,0,6,2,28,0,1],[0,9,2,2,0,1,2,1,1,1,2,2,1,3,2,13,1,26,2,26,1,12,2,32,0,5,2,18,0,1,2,9,0,1],[0,12,2,4,1,2,2,13,1,5,2,1,1,20,2,30,1,6,2,23,1,1,2,1,0,5,1,1,2,5,0,4,2,6,0,4,2,12,0,1,2,4,0,2],[0,11,2,13,3,3,2,4,1,3,2,3,1,19,2,19,3,1,1,2,2,9,1,6,2,22,0,8,1,1,2,5,0,4,2,6,0,4,2,18,0,1],[0,13,2,6,3,2,1,1,2,1,3,4,0,3,2,1,1,3,2,3,1,19,2,2,1,2,2,14,3,1,1,4,2,8,1,7,2,15,0,15,2,15,0,5,2,18],[0,13,2,5,1,1,3,9,0,2,2,3,1,1,2,3,1,21,2,16,3,2,1,4,2,7,1,7,2,10,0,1,2,4,0,16,2,14,0,6,2,16,0,1],[0,13,2,2,3,4,2,4,3,5,0,2,2,7,1,22,2,15,3,4,1,3,2,7,1,7,2,3,0,29,2,12,0,6,2,13,0,4],[0,2,1,2,0,9,2,1,3,5,2,5,3,6,2,7,1,22,2,15,3,4,1,3,2,3,1,1,2,3,1,7,2,2,0,30,2,13,0,5,2,5,0,1,2,6,0,5],[1,4,0,9,2,1,3,5,2,7,3,4,2,7,1,23,2,15,3,4,1,2,2,2,1,2,2,3,1,8,2,1,0,20,1,2,0,18,2,1,0,1,2,1,0,10,2,6,0,6],[1,3,0,1,1,2,0,2,2,6,3,5,2,7,3,5,2,7,1,22,2,15,3,3,1,3,2,8,1,8,0,13,2,1,1,1,0,4,1,2,2,1,0,18,2,2,0,23],[1,7,2,7,3,3,2,10,3,5,2,6,1,26,2,11,3,3,1,3,2,8,1,8,0,12,2,2,1,6,2,6,0,39],[1,6,2,9,3,2,2,10,3,2,0,3,2,6,1,24,2,1,1,1,2,12,3,1,1,4,2,5,1,2,2,2,1,7,0,12,2,2,1,6,2,9,0,36],[0,3,1,2,2,11,3,1,2,10,3,2,0,3,2,6,1,23,2,5,3,4,2,6,3,1,1,5,2,4,1,4,2,6,1,1,0,13,2,1,1,6,2,16,0,29],[0,2,1,2,2,5,0,4,2,14,3,2,0,3,2,6,1,23,2,5,3,5,2,5,3,1,1,5,2,5,1,4,2,7,0,12,1,7,2,16,0,29],[0,2,1,2,2,5,0,4,2,16,0,3,2,6,1,22,2,6,3,1,0,8,2,1,3,1,1,2,0,4,2,5,1,3,2,8,0,11,1,2,2,2,1,3,2,3,0,3,2,18,0,18,2,3],[0,2,1,3,2,4,0,4,2,16,0,4,2,4,1,23,2,6,3,1,0,8,2,4,0,4,2,10,1,2,2,4,0,7,2,4,1,3,2,1,1,3,2,3,0,3,2,1,1,1,2,16,0,1,2,2,0,15,2,3],[0,2,1,3,2,4,0,4,2,5,0,13,2,7,1,23,2,1,0,15,2,2,0,4,2,10,1,3,2,1,0,8,2,5,1,4,2,2,1,1,2,3,0,7,2,2,0,3,2,13,0,10,2,6,0,1],[0,3,1,1,2,6,0,3,2,4,0,14,2,8,1,22,2,1,0,15,2,2,0,4,2,9,1,5,0,8,2,5,1,7,2,3,0,7,2,2,0,8,2,9,0,9,2,6,0,1],[2,17,0,19,2,3,1,22,2,1,0,15,2,2,0,4,2,7,1,7,0,8,2,4,1,9,2,2,0,18,2,2,0,1,2,4,1,1,0,7,2,6,0,3],[1,2,2,15,0,20,2,2,1,23,2,2,0,12,2,6,0,1,2,7,1,7,0,8,2,1,1,11,0,24,1,7,0,5,2,6,0,3],[2,17,0,21,2,1,1,22,2,5,0,10,1,1,2,13,1,7,0,8,1,12,0,26,1,5,2,7,0,7],[2,17,0,21,2,1,1,22,2,5,0,12,2,12,1,8,0,6,1,13,0,26,1,6,2,6,0,7],[2,10,1,1,2,6,1,2,0,14,2,2,0,3,2,1,1,22,2,4,0,13,2,10,1,11,0,5,1,11,0,8,1,2,0,20,1,5,2,4,0,8],[2,8,1,7,2,2,1,2,0,14,2,2,0,3,1,23,2,4,0,11,2,5,0,4,2,2,1,13,0,4,1,11,0,8,1,2,0,20,1,5,2,4,0,8],[2,8,1,5,0,20,1,2,0,3,1,23,2,3,0,12,2,5,0,4,1,15,0,4,1,10,0,9,1,2,0,10,1,4,0,9,1,6,0,8],[2,9,1,4,0,20,1,2,0,3,1,23,2,1,0,15,2,4,0,4,1,15,0,5,1,9,0,6,1,5,0,10,1,5,0,22],[2,9,3,4,0,20,1,2,0,3,1,22,2,2,0,3,2,2,0,9,2,5,0,4,1,15,0,3,1,11,0,5,1,8,0,8,1,8,0,19],[2,13,0,20,1,27,2,2,0,13,2,6,0,4,1,15,0,3,1,10,0,3,1,12,0,7,1,8,0,19],[0,4,2,9,0,6,2,2,0,12,1,28,2,1,0,3,2,2,1,2,2,8,0,4,2,2,1,30,0,3,1,13,0,6,1,10,0,17],[0,5,2,11,0,3,2,2,0,12,1,30,2,4,1,3,2,7,0,4,2,2,1,30,0,3,1,29,0,17],[0,6,2,17,0,11,1,29,2,4,1,3,2,2,1,2,2,3,0,4,2,1,1,63,0,4,1,2,0,11],[0,9,2,15,0,10,1,29,2,4,1,3,2,2,1,2,2,4,0,3,1,22,2,4,1,38,0,1,1,5,2,1,0,10],[0,10,2,17,0,7,1,29,2,1,0,2,2,1,1,3,2,10,1,22,2,5,1,2,2,6,1,4,2,2,1,31,2,1,0,9],[0,11,2,17,0,6,1,29,0,3,2,1,1,3,2,4,1,29,2,4,1,1,2,7,1,4,2,3,1,31,0,9],[0,19,2,12,0,3,2,1,1,27,0,4,2,1,1,2,2,2,0,9,1,23,2,4,1,1,2,7,1,5,2,1,1,28,2,1,1,3,0,9],[0,19,2,17,1,26,0,5,2,4,0,9,1,20,2,18,1,15,2,6,1,9,2,2,1,6,0,6],[0,21,2,18,1,23,0,7,2,1,1,1,0,9,1,19,2,20,1,1,2,2,1,1,2,3,1,5,2,13,1,3,2,4,1,4,2,1,0,5,2,1],[0,21,2,18,1,24,2,1,0,4,2,2,1,1,0,7,1,21,2,18,1,3,2,32,1,4,0,5,2,1],[0,21,2,19,1,22,2,2,0,4,2,2,1,3,0,4,1,22,2,18,1,1,2,1,1,1,2,36,0,6],[0,21,2,20,1,20,2,2,0,1,2,6,1,3,0,1,1,24,2,19,1,1,2,37,0,7],[0,25,2,16,1,19,2,10,1,28,2,2,1,2,2,14,1,2,2,36,0,8],[0,25,2,2,0,4,2,8,1,1,2,2,1,15,2,13,1,28,2,19,1,1,2,33,0,11],[0,32,2,10,1,14,2,15,1,1,2,1,1,1,2,1,1,1,2,11,1,11,2,53,0,11],[0,33,2,10,1,14,2,1,1,2,2,28,1,10,2,53,0,11],[0,33,2,10,1,14,2,31,1,10,2,1,0,4,2,48,0,11],[0,33,2,10,1,14,2,29,1,12,2,1,0,4,2,48,0,11],[0,11,2,8,0,18,2,2,1,17,2,30,1,13,0,10,2,5,0,2,2,13,3,1,2,20,0,12],[0,11,2,8,0,18,1,20,2,29,1,13,0,9,2,6,0,3,2,5,0,3,2,3,3,3,2,10,0,21],[0,7,2,16,0,14,1,23,2,26,1,13,0,9,2,6,0,4,2,4,0,40],[0,7,2,16,0,14,2,2,1,22,2,24,1,15,0,4,2,2,0,3,2,4,0,49],[0,5,2,6,1,1,0,3,1,2,2,10,0,11,2,1,1,24,2,21,1,16,0,3,1,1,2,9,0,49],[0,4,2,7,0,4,1,1,2,11,0,14,1,20,0,3,2,3,0,6,2,3,0,2,2,4,1,17,0,3,1,3,0,1,2,7,0,49],[0,3,2,7,0,5,2,10,0,16,1,20,0,3,1,1,2,1,0,7,2,3,0,2,2,4,1,21,2,10,0,48,2,1],[2,2,0,1,2,7,0,5,2,10,0,13,1,2,0,1,1,20,0,12,2,1,1,2,0,2,2,6,1,18,2,11,0,48,1,1],[2,2,0,1,2,7,0,5,2,7,0,16,1,23,0,12,2,12,1,18,2,10,0,6,2,2,0,32,2,4,0,5],[0,3,1,1,2,5,0,6,2,6,0,17,1,25,2,1,0,8,2,13,1,18,2,8,0,8,2,2,0,32,2,2,1,2,0,5],[0,3,1,2,2,4,0,6,2,6,0,17,1,24,2,2,0,8,2,14,1,17,0,4,2,4,0,6,2,4,0,20,2,4,0,4,2,6,1,1,2,1,0,5],[0,2,2,1,1,2,2,4,0,5,2,10,0,15,1,22,2,6,0,3,2,16,1,17,0,4,2,4,0,6,2,4,0,20,2,4,0,4,2,8,0,5],[0,2,2,5,0,7,2,11,0,13,1,22,2,2,1,2,2,22,1,15,0,6,2,4,1,1,0,7,2,2,0,10,2,26,0,5],[0,5,2,3,0,6,2,11,0,13,1,21,2,27,1,16,0,5,2,3,1,2,0,7,2,2,0,10,2,26,0,5],[0,5,2,3,0,5,1,4,2,10,0,11,2,1,1,19,2,16,1,3,2,9,1,16,0,5,2,3,1,2,0,21,2,22,0,7],[0,5,2,3,0,5,1,6,2,8,0,10,2,2,1,17,2,18,1,4,2,9,1,14,0,6,2,4,0,22,2,23,0,6],[0,5,2,8,1,6,0,1,2,2,0,3,2,2,0,6,2,6,1,16,2,11,0,2,2,7,1,2,2,10,1,14,0,4,2,6,0,23,2,22,0,6],[0,5,2,8,1,6,0,6,2,2,0,6,2,6,1,16,2,10,0,6,2,16,1,14,0,4,2,8,0,22,2,5,3,1,2,15,0,6],[0,6,2,8,1,5,0,6,2,2,0,6,2,6,1,16,2,9,0,9,2,5,0,3,2,5,1,15,0,4,2,8,0,22,2,7,3,1,2,14,0,5],[0,8,2,7,1,5,0,5,2,2,0,6,2,6,1,16,2,9,0,9,2,1,1,3,0,4,2,5,1,7,2,2,1,6,0,3,2,9,0,9,2,2,0,11,2,6,3,3,2,14,0,4],[0,8,2,7,1,5,2,7,0,12,2,1,1,14,2,13,0,6,3,1,1,3,0,4,2,5,1,2,2,1,1,4,2,3,1,6,2,8,0,12,2,5,0,8,2,6,0,4,2,13,0,4],[0,8,2,9,1,3,2,7,0,12,2,1,1,14,2,13,0,5,3,1,1,5,0,3,2,10,1,2,2,4,1,5,2,1,1,1,2,7,0,11,2,6,0,7,2,6,0,4,2,11,0,6],[0,8,2,19,0,13,2,1,1,13,2,8,0,10,1,6,0,5,2,10,1,1,2,3,1,5,2,7,0,12,2,1,1,3,2,3,1,1,0,6,2,6,0,8,2,7,0,6],[0,4,2,26,0,10,2,3,1,11,2,7,0,12,1,5,0,5,2,11,1,1,2,3,1,3,2,8,0,12,1,5,2,2,1,1,0,6,1,1,2,5,0,8,2,7,0,6],[0,3,2,27,0,10,2,3,1,12,2,4,0,14,1,5,0,5,2,12,1,1,2,1,1,4,2,4,0,16,1,6,2,2,0,6,1,1,2,3,0,11,2,7,0,5],[2,3,1,4,2,23,0,10,2,2,1,11,2,1,1,4,2,1,0,14,1,5,0,5,2,11,1,8,2,3,0,16,1,7,2,2,0,5,1,1,2,3,0,12,2,6,0,5],[3,3,1,3,0,5,2,6,0,1,2,15,0,7,2,2,1,10,2,3,1,1,0,17,1,4,2,2,0,4,2,11,1,8,2,2,0,9,2,3,1,14,0,21,2,11],[0,2,1,4,0,5,2,6,0,6,2,10,0,7,2,3,1,9,2,3,1,1,0,17,1,4,2,2,0,4,2,11,1,8,2,1,0,10,1,17,0,21,2,11],[0,2,1,4,0,5,2,6,0,9,2,9,0,5,2,3,1,9,2,3,1,1,0,11,1,9,2,3,0,4,2,10,1,7,2,1,0,12,3,1,1,16,0,25,2,7],[0,4,1,2,0,5,2,6,0,10,2,9,0,5,2,1,1,10,2,4,0,11,1,8,2,4,0,4,2,9,1,9,0,12,1,16,2,3,0,23,2,7],[0,4,1,2,0,5,2,4,0,14,2,7,0,7,1,10,2,3,0,9,1,9,2,3,0,6,2,6,1,12,0,10,1,17,2,4,0,25,2,3,1,2],[0,11,2,4,0,14,2,7,0,7,1,10,2,2,0,1,2,2,0,2,2,1,1,3,0,1,1,9,2,3,0,6,2,3,1,1,2,1,1,13,0,10,1,16,2,2,1,1,2,1,0,11,2,4,0,10,1,1,2,3,0,2],[0,11,3,1,2,3,0,14,2,8,0,6,1,10,2,5,0,2,1,14,2,3,0,6,2,3,1,16,2,2,1,2,2,6,1,15,2,1,1,3,0,10,2,6,0,9,1,1,2,3,0,2],[0,11,3,2,2,2,0,14,2,8,0,6,1,10,2,5,0,3,1,12,2,4,0,6,2,3,1,16,2,12,3,1,1,11,2,2,1,3,0,9,2,7,0,5,1,4,2,3,0,3],[0,9,3,3,2,5,0,14,2,6,0,6,1,10,2,8,1,13,2,3,0,4,2,5,1,17,2,11,3,1,1,10,2,4,1,1,2,1,0,6,2,10,0,5,1,1,2,6,0,3],[0,9,3,3,2,5,0,14,2,6,0,6,1,10,2,9,1,15,0,4,2,5,1,17,2,13,1,9,2,6,0,6,2,13,0,2,2,7,0,3],[0,7,3,6,0,18,2,6,0,6,1,10,2,8,3,1,1,8,2,3,0,1,1,2,0,5,2,5,1,15,0,6,2,12,1,5,2,9,0,4,2,22,0,3],[0,7,3,6,0,13,2,2,0,3,2,6,0,6,1,10,2,8,3,1,1,6,2,6,0,7,2,5,1,15,0,6,2,13,1,3,2,10,0,4,2,22,0,3],[0,7,3,1,0,18,2,2,0,1,2,8,0,6,1,10,2,4,0,4,3,2,1,2,3,4,2,5,0,7,2,5,1,15,0,10,2,9,1,3,2,9,0,9,2,16,0,5],[0,3,2,1,1,2,3,7,2,1,0,14,2,9,0,5,1,15,0,4,3,8,2,17,1,15,0,10,2,20,0,10,2,16,0,5],[0,3,2,1,0,9,2,1,0,14,1,1,2,12,1,16,0,4,2,1,3,7,2,17,1,15,0,12,2,7,0,4,2,7,0,10,2,14,0,7],[0,3,1,1,0,9,2,1,0,14,1,1,2,12,1,16,0,4,2,1,3,1,1,3,3,2,2,18,1,15,0,11,2,7,0,6,2,6,0,10,2,14,0,7],[0,3,1,1,0,9,2,1,0,14,2,13,1,16,0,4,2,1,3,1,0,7,2,3,3,1,2,12,1,14,0,12,2,6,0,7,2,10,0,6,2,4,0,17],[0,3,1,1,0,9,2,1,0,14,2,13,1,19,0,1,1,2,0,10,2,13,1,13,0,26,2,6,1,2,2,2,0,5,2,5,0,17],[0,3,1,1,0,9,2,1,0,13,2,10,0,1,2,3,1,22,0,11,2,12,1,13,0,26,2,4,0,4,3,2,0,5,2,5,0,17],[0,3,1,1,0,9,2,1,0,13,2,10,0,5,1,21,0,12,2,11,1,14,0,25,2,3,3,1,0,4,3,2,0,6,2,4,0,17],[0,3,1,1,0,9,2,1,0,1,2,2,0,10,2,7,0,8,1,19,3,2,0,12,2,11,1,14,0,23,2,6,0,13,2,3,0,17],[0,3,1,1,0,9,2,1,0,1,2,2,0,10,2,6,0,9,1,19,3,2,0,12,3,3,2,8,1,17,2,1,0,19,2,6,0,14,2,2,0,17],[0,3,1,1,0,9,3,1,0,1,2,2,0,8,2,4,0,1,2,2,0,9,1,20,0,14,3,3,2,8,1,17,2,1,0,19,2,4,0,16,2,2,0,10,2,6,0,1],[0,3,1,7,3,4,0,1,2,2,0,7,2,5,0,12,1,19,3,1,0,14,3,3,2,8,1,17,0,20,2,4,0,16,2,5,0,7,2,6,0,1],[0,15,2,2,0,7,2,5,0,10,2,2,1,19,3,1,0,14,3,3,2,8,1,16,0,19,2,6,0,16,2,5,0,7,2,4,0,3],[0,9,1,3,3,2,2,3,0,8,2,4,0,10,2,2,1,19,2,1,0,14,3,2,2,9,1,15,0,15,2,2,0,3,2,6,0,15,2,5,0,8,2,4,0,3],[0,9,1,5,2,3,0,8,2,4,0,8,2,5,1,17,2,2,0,14,1,1,2,10,1,15,0,8,2,2,0,5,2,2,0,1,2,12,0,8,2,8,0,8,2,4,0,3],[0,8,1,6,3,1,2,2,0,8,2,5,0,7,2,5,1,17,2,2,0,14,2,11,1,15,0,5,2,5,0,7,2,12,1,1,0,8,2,8,0,8,2,4,0,3],[0,1,1,2,0,4,1,7,3,1,2,4,0,6,2,5,0,7,2,6,1,17,2,2,0,13,2,11,1,18,2,7,0,7,2,6,0,1,2,4,1,3,0,1,1,2,2,4,1,1,2,6,0,5,2,10,0,1],[0,1,1,2,0,4,3,1,1,6,3,1,2,3,3,1,0,6,2,5,0,7,2,8,1,16,2,3,0,11,2,11,1,7,2,2,1,10,2,7,0,7,2,2,0,3,2,5,1,6,2,3,1,3,2,5,0,5,2,2,0,2,2,6,0,1],[0,1,1,2,0,4,3,2,0,6,2,3,3,1,0,6,2,5,0,11,2,5,1,15,2,3,1,1,0,6,2,4,1,6,2,4,1,7,2,3,1,11,2,6,0,12,2,8,1,4,2,3,1,2,2,5,0,3,2,1,0,2,2,1,0,2,2,7],[0,1,1,2,0,3,3,3,0,6,1,1,2,3,0,6,2,5,0,11,2,5,1,16,2,1,1,2,0,6,2,2,1,19,2,3,1,11,2,6,0,10,2,10,1,5,2,13,0,2,2,10],[0,6,3,3,0,6,1,2,2,2,0,4,2,7,0,11,2,4,1,18,2,2,0,4,2,3,1,20,2,4,1,10,2,7,0,9,2,8,1,7,2,25],[0,6,3,2,2,1,0,6,1,2,3,1,2,1,0,4,2,6,0,12,2,4,1,18,2,3,0,3,2,2,1,23,2,3,1,9,2,6,0,10,2,8,1,8,2,22,0,1,2,1],[0,5,3,2,2,2,0,6,1,3,2,9,0,12,2,5,1,18,2,4,0,3,2,1,1,25,2,3,1,4,2,1,0,3,2,6,0,10,2,14,1,3,2,8,1,1,2,9,0,4,2,1],[0,5,3,1,2,3,0,6,1,3,2,9,0,12,2,5,1,17,2,7,0,1,2,1,1,26,2,2,1,5,0,3,2,4,1,2,2,6,0,2,1,2,2,16,1,1,2,18,0,4,2,1],[0,7,2,6,1,5,2,7,0,14,2,4,1,18,2,9,1,32,0,4,2,12,0,2,2,12,0,5,2,1,0,2,2,8,1,2,0,1,2,6,0,5],[0,7,2,6,1,3,3,2,2,7,0,14,2,5,1,16,2,10,1,12,2,3,1,16,0,5,2,12,0,5,2,9,0,5,2,1,0,2,2,8,1,4,2,5,0,5],[0,7,2,5,1,1,0,4,3,2,2,4,0,18,2,3,1,14,2,6,0,3,2,4,1,8,2,6,1,15,0,6,2,12,0,5,2,9,0,5,2,9,1,7,2,6,0,3],[0,7,2,6,0,4,2,6,0,18,2,3,1,13,2,6,0,4,2,5,1,5,2,9,1,13,0,7,2,7,0,10,2,9,0,5,2,7,1,2,0,3,2,1,1,4,2,5,0,3],[0,41,2,3,1,12,2,7,0,6,2,4,1,3,2,11,1,12,0,7,2,4,0,2,2,1,0,15,2,6,0,2,2,8,1,2,0,3,2,1,1,5,2,4,3,2,0,1],[0,41,2,1,1,15,2,6,0,5,2,7,1,1,2,11,1,12,0,7,2,4,0,2,2,1,0,16,2,16,1,1,0,3,2,1,1,6,2,3,3,2,0,1],[0,37,2,4,1,18,2,2,0,7,2,3,0,6,2,10,1,12,2,12,0,21,2,15,0,4,1,5,2,3,3,2,0,1],[0,37,2,4,1,18,2,2,0,8,2,2,0,6,2,8,1,16,2,10,0,22,2,5,0,2,2,7,0,4,1,2,3,3,2,2,0,1,2,2,0,1],[0,27,2,2,0,8,2,3,1,20,2,1,0,8,2,2,0,6,2,7,1,18,2,1,0,2,2,4,0,25,2,4,0,2,2,7,0,4,1,2,2,9],[0,27,2,2,0,8,2,2,1,21,2,2,0,2,1,1,2,1,0,2,2,3,0,6,2,5,1,18,2,3,0,2,2,4,0,25,2,3,0,3,2,7,0,4,2,2,0,3,2,6],[0,27,2,2,0,8,2,1,1,22,2,3,1,2,2,8,0,4,2,6,1,17,0,7,2,2,0,10,2,4,0,10,2,4,0,3,2,2,0,11,2,1,0,2,2,6],[0,26,2,3,0,7,2,1,1,24,2,2,1,2,2,8,0,4,2,6,1,16,0,8,2,2,0,10,2,4,0,10,2,4,0,16,2,9],[0,26,2,4,1,1,0,4,2,1,1,24,2,13,0,4,2,6,1,16,0,8,2,2,0,10,2,4,0,12,2,2,0,18,2,2,0,4,2,1],[0,26,2,4,1,1,2,3,1,2,2,4,1,19,2,24,1,16,0,8,2,2,0,10,3,2,2,2,0,12,2,2,0,18,2,2,0,4,2,1],[0,26,2,2,0,2,2,1,1,5,2,5,1,17,2,9,0,4,2,13,1,17,0,6,2,4,0,6,1,2,0,16,2,2,0,25],[0,30,1,7,2,4,1,14,2,12,0,4,2,12,1,18,0,6,2,4,0,6,1,2,0,15,2,4,0,6,2,2,0,16],[0,30,1,7,2,1,1,1,2,4,1,11,2,9,0,8,2,2,0,1,2,9,1,18,0,6,2,4,0,23,2,5,0,4,2,3,0,16],[0,31,1,6,2,6,1,11,2,9,0,7,2,3,0,6,2,4,1,1,2,1,1,16,0,6,2,4,0,21,2,7,0,4,2,2,0,17],[0,29,2,1,1,7,2,6,1,11,2,2,1,2,2,4,0,8,2,3,0,8,2,5,1,16,2,1,0,4,2,6,0,19,2,7,0,16,2,2,0,5],[0,29,2,1,1,7,2,3,1,1,2,1,1,12,2,2,1,2,2,5,0,5,2,2,0,1,2,2,0,8,2,5,1,16,2,1,0,4,2,7,0,18,2,7,0,16,2,2,0,5],[0,29,2,2,1,7,2,1,1,15,2,8,0,1,2,4,1,6,2,2,0,6,2,5,1,16,2,15,0,15,2,7,0,16,2,2,0,5],[0,29,2,2,1,24,2,4,0,3,2,3,1,10,0,6,2,5,1,16,2,14,0,12,2,2,0,4,2,5,0,16,2,2,0,5],[0,29,2,2,1,24,2,4,0,3,2,2,1,12,2,1,0,4,2,5,1,16,2,5,0,18,2,5,0,4,2,2,0,1,2,4,0,10,2,10,0,1],[0,29,2,2,1,25,2,3,0,4,2,1,1,13,2,1,0,3,2,5,1,16,2,5,0,18,2,5,0,7,2,4,0,9,2,11,0,1],[0,27,2,5,1,24,2,3,0,4,2,1,1,13,2,8,1,16,2,5,1,1,0,18,2,6,0,8,2,2,0,9,2,12],[0,27,2,6,1,24,2,2,0,4,2,1,1,13,2,8,1,15,2,6,1,1,0,18,2,6,0,8,2,2,0,5,2,16],[0,27,2,6,1,23,2,2,1,1,0,4,2,1,1,13,0,1,2,6,1,15,2,7,1,2,2,1,0,16,2,6,0,8,2,2,0,4,2,7,0,9,2,1],[0,27,1,1,2,6,1,22,2,2,1,2,2,3,1,14,0,3,2,4,1,14,2,11,0,15,2,7,0,8,2,2,0,4,2,6,0,10,2,1],[0,27,1,1,2,6,1,22,2,2,1,2,2,3,1,14,0,3,2,3,1,15,2,8,0,1,2,8,0,9,2,7,0,8,2,9,0,13,2,1],[0,26,1,2,2,8,1,23,2,5,1,13,0,3,2,3,1,15,2,4,0,5,2,9,0,6,2,9,0,8,2,8,0,14,2,1],[0,21,2,2,1,4,2,4,0,7,1,20,2,2,0,11,1,6,0,3,2,3,1,16,2,3,0,7,2,7,0,6,2,8,1,1,0,10,2,5,0,9,2,7],[0,21,2,1,1,5,2,5,0,6,1,20,2,2,0,3,2,1,3,1,0,10,1,1,2,1,0,3,2,3,1,18,0,8,2,7,0,7,2,8,0,10,2,4,0,10,2,7],[0,21,1,6,2,5,0,6,1,19,2,3,0,17,2,5,1,10,2,1,1,8,2,4,0,5,2,7,0,6,2,12,0,16,2,11],[0,21,1,6,2,5,0,6,1,18,2,3,0,17,2,6,1,9,2,3,1,5,2,5,1,1,0,8,2,4,0,6,2,13,0,15,2,11],[0,23,1,5,2,4,0,5,2,1,1,18,2,3,0,17,2,6,1,8,2,5,1,4,2,6,0,9,2,13,0,6,2,4,0,12,2,7,0,6],[0,23,1,6,2,3,0,5,2,2,1,16,2,4,0,18,2,5,1,7,2,7,1,4,2,6,0,9,2,12,0,6,2,4,0,12,2,5,0,8],[0,23,1,6,2,10,1,16,2,4,0,18,2,4,1,8,2,9,1,2,2,3,1,3,0,9,2,10,0,8,2,6,0,8,2,7,0,8],[0,23,1,11,2,5,1,17,2,4,0,17,2,4,1,8,2,8,0,17,2,6,1,1,2,4,0,8,2,6,0,7,2,5,0,11],[0,25,1,10,2,3,1,18,2,4,0,17,2,4,1,11,2,1,0,21,2,4,0,16,2,5,0,4,2,8,0,11],[0,25,1,32,2,3,0,14,2,7,1,9,2,3,0,42,2,5,0,3,2,8,0,11],[0,25,1,4,0,3,1,25,2,5,0,2,2,17,1,8,2,4,0,45,2,9,0,15],[0,25,1,4,0,4,1,25,2,4,0,2,2,17,1,8,2,4,0,11,2,2,0,33,2,8,0,15],[0,2,2,11,0,12,1,2,0,7,1,25,2,3,1,2,2,9,1,1,2,7,1,8,2,4,0,11,2,2,0,34,2,7,0,10,2,5],[0,2,2,1,0,9,2,1,0,11,1,3,0,9,1,24,2,10,1,6,2,5,1,9,2,6,0,6,2,4,0,16,2,2,0,17,2,6,0,10,2,4,0,1],[0,2,2,1,0,9,2,1,0,11,1,1,3,2,0,9,2,1,1,23,2,9,1,7,2,5,1,10,2,6,0,4,2,6,0,15,2,2,0,38],[0,2,2,1,0,9,2,1,0,11,3,3,2,1,0,6,2,1,1,1,2,1,1,24,2,8,1,7,2,4,1,12,2,5,0,4,2,6,0,55],[0,2,2,1,0,9,2,1,0,10,1,1,2,10,1,2,2,2,1,27,2,4,1,2,2,4,1,1,2,4,1,13,2,2,0,6,2,8,0,18,2,4,0,24,2,1,0,6],[0,2,2,1,0,9,2,1,0,10,2,15,1,33,2,3,1,20,2,1,0,6,2,8,1,1,0,14,2,2,0,1,2,7,0,21,2,1,0,6],[0,2,2,1,0,9,2,1,0,1,2,1,0,6,2,17,1,56,2,1,0,6,2,6,1,3,0,13,2,12,0,20,2,1,0,5,1,1],[0,2,2,1,0,9,2,1,0,1,2,1,0,6,2,16,1,57,2,1,0,6,2,6,1,2,2,1,0,8,2,2,0,3,2,12,0,20,2,1,0,5,1,1],[0,2,2,1,0,9,2,1,0,1,2,1,0,6,2,12,1,60,2,17,0,7,2,20,0,14,2,5,0,6],[0,2,2,1,0,9,2,1,0,1,2,1,0,6,2,9,1,63,2,17,0,6,2,22,0,13,2,5,0,6],[0,2,2,1,1,3,3,3,2,4,0,8,2,9,1,64,2,16,0,5,2,16,1,1,2,6,0,13,2,5,0,6],[0,7,1,1,0,12,2,10,1,18,2,5,1,42,2,2,1,1,2,4,0,3,2,5,0,5,2,16,1,1,2,10,0,9,2,6,0,5],[0,7,1,1,2,4,0,8,2,9,1,11,0,2,1,6,2,5,1,46,2,3,0,4,2,6,1,2,2,10,1,2,2,4,0,5,2,4,1,4,0,6,2,8,0,5],[0,7,1,1,2,5,0,7,2,9,1,11,0,3,1,5,2,5,1,2,2,4,1,41,0,7,2,3,1,4,2,15,0,6,2,5,1,4,0,5,1,1,2,5,0,7],[0,7,1,1,2,5,0,4,2,11,1,12,0,3,1,1,2,2,1,2,2,5,1,2,2,5,1,40,0,8,2,2,1,3,2,6,0,3,2,5,0,10,2,7,0,5,1,1,2,4,0,8],[0,7,2,2,0,1,2,3,0,4,2,2,1,2,2,6,1,10,2,1,1,1,0,4,1,1,2,2,1,2,2,12,1,40,0,8,2,2,1,1,2,8,0,3,2,5,0,9,2,10,0,2,1,1,2,4,0,9],[3,1,1,2,0,6,2,10,1,3,2,5,1,8,2,3,0,9,2,15,1,38,0,8,2,4,0,3,2,4,0,3,2,5,0,9,2,11,1,3,2,3,0,9],[3,2,1,2,2,15,1,4,2,4,1,7,2,2,0,11,2,17,1,36,0,8,2,4,0,3,1,1,2,3,0,5,2,3,0,12,2,8,1,4,2,2,0,9],[2,19,1,6,2,3,1,5,2,3,0,11,2,18,1,32,0,1,1,2,0,7,2,5,0,3,1,2,0,7,2,7,0,8,2,8,1,4,0,11],[2,1,0,5,2,13,1,7,2,1,1,4,0,16,2,19,1,29,2,2,0,9,2,6,0,3,1,2,0,8,2,6,0,8,2,8,1,4,0,11],[2,1,0,5,2,8,0,4,2,1,1,3,0,2,1,6,0,28,2,16,1,6,0,7,1,4,0,15,2,6,0,15,2,6,0,29],[2,1,0,24,1,1,2,3,0,34,2,14,1,2,0,8,1,4,0,15,2,6,0,15,2,6,0,29],[0,25,2,2,0,36,2,15,1,1,0,27,2,6,0,15,2,6,0,29],[0,25,2,2,0,36,2,16,0,28,2,5,0,15,2,6,0,29],[0,63,2,16,0,28,2,6,0,14,2,8,0,27],[0,63,2,16,0,28,2,6,0,14,2,8,0,27],[0,63,2,16,0,29,2,9,0,8,2,4,0,33],[0,63,2,16,0,30,2,13,0,3,2,4,0,33],[0,63,2,20,0,29,2,17,0,33],[0,63,2,20,0,30,2,16,0,33],[0,55,3,1,2,29,0,29,2,6,0,42],[0,55,3,1,2,29,0,33,2,2,0,42],[0,55,3,1,2,29,0,33,2,1,1,1,0,42],[0,55,2,30,0,77],[0,59,2,8,0,4,2,1,0,90],[0,59,2,8,0,95],[0,61,2,6,0,95],[0,61,2,6,0,95],[0,61,2,6,0,95],[0,61,2,6,0,95],[0,61,2,6,0,95],[0,61,2,1,1,2,2,3,0,95],[0,63,3,2,0,97]]} diff --git a/docs/SEMANTICS.md b/docs/SEMANTICS.md index 11d5fb5..61c322e 100644 --- a/docs/SEMANTICS.md +++ b/docs/SEMANTICS.md @@ -578,3 +578,35 @@ These never fire in default NormalPlay, so the solo-vs-AI match loop is unaffect 5. **Morph HP carryover** on Dive (fraction vs flat) (§5). 6. **Ghost reveal-during-cast** exact window for H00W torpedo use (§5). 7. **Asid absence on shop base units** — confirm during SLK extraction (§8). + +## Owner-directed map divergence: the north-most lane's east leg (2026-07-09) + +The north-most lane is a HORSESHOE — a top band whose two legs drop to the +middle sea. The owner (a former competitive BSP player) reported, pointing at +the spot on the original minimap: *"the lanes up north do not touch they are +separate"*, *"you would need to enter by the spawn to get to the north most +lane"*, and of the west side, *"you could get by without the harbor seeing you +on both north and south"*. + +`terrain.py` `OWNER_LANE_GATES` therefore blocks the narrowest row of the EAST +leg only. The WEST leg is left open: it is the way round from the bot-spawn +harbour and the sneak-past the owner describes. + +**Likely original mechanism — a waterfall.** WC3 terrain is terraced and a unit +may only change cliff layer on a RAMP. The north lane sits on layer 3 and the +middle sea on layer 2, so a waterfall is exactly what belongs where they meet. +`war3map.wpm` cannot express it: it stores each cell's own passability, never +the STEP between two cells. + +**Why the terrace rule is not applied globally** (measured, not assumed): the +layer-2/3 line runs through the whole map's water. Blocking every narrow +(<=128u) non-ramp crossing of it would close **223 sites / 3,740 subcells** and +shred the map. A one-sided "block the lip on the higher terrace" variant was +also built and measured: it held every fidelity gate but did NOT isolate the +lane at emit resolution. Both were reverted; only the owner-identified choke is +gated. + +**Measured effect:** east-side lane -> north-most lane 2080u -> 3328u (must go +round), while bot-spawn harbour -> north-most lane is UNCHANGED at 3200u. All +fidelity gates still pass (16/16 shops sea-reachable, bases connected, G6 lane +topology 0 mismatches). diff --git a/tools/extractor/terrain.py b/tools/extractor/terrain.py index f1cede6..e2334ba 100644 --- a/tools/extractor/terrain.py +++ b/tools/extractor/terrain.py @@ -1205,6 +1205,61 @@ def cell_labels(c: int, r: int) -> set[int]: return flipped +OWNER_LANE_GATES: tuple[tuple[float, float, float, float, str], ...] = ( + # OWNER-DIRECTED DIVERGENCE (2026-07-09), from the owner -- a former + # competitive BSP player -- pointing at the spot on the original minimap: + # "the lanes up north do not touch they are separate", "you would need to + # enter by the spawn to get to the north most lane", and of the WEST side, + # "you could get by without the harbor seeing you on both north and south". + # + # The north-most lane is a HORSESHOE: a top band whose two legs drop to the + # middle sea. The WEST leg is legitimate -- it is the way round from the + # bot-spawn harbour, and the sneak past it the owner describes. The EAST + # leg is the one the arrow marks: it lets a ship step straight off the + # east-side lane into the north-most lane, which is why the lanes "touch". + # + # Likely original mechanism: a WATERFALL. The north lane sits on cliff + # layer 3, the middle sea on layer 2, and WC3 units cannot cross a terrace + # step except on a ramp -- a drop war3map.wpm cannot express, since it + # stores each cell's own passability and never the step between two cells. + # (The general terrace rule was implemented and measured: it held every + # gate but did not isolate the lane at emit resolution, so we close the one + # channel the owner identified rather than reshape 2000+ cells on an + # unproven rule.) Measured effect: east-lane -> north-most lane goes + # 2080u -> 3328u (round the long way), while harbour -> north-most lane is + # UNCHANGED at 3200u. Documented in docs/SEMANTICS.md. + # + # Each entry is a SEARCH BOX; the narrowest sailable row inside it is what + # gets blocked, so the gate lands on the true choke, not a hand-drawn wall. + (3600.0, 3900.0, 5250.0, 5560.0, "north-most lane: east leg (owner's arrow)"), +) + + +def close_owner_lane_gates(rows: list[list[int]], geom: dict) -> list[dict]: + """Block the narrowest sailable row inside each OWNER_LANE_GATES box (see + the table for why each one exists).""" + report: list[dict] = [] + for x0, x1, y0, y1, label in OWNER_LANE_GATES: + c0, r1 = cell_for(x0, y0, geom) + c1, r0 = cell_for(x1, y1, geom) + best: tuple[int, list[int]] | None = None + for r in range(min(r0, r1), max(r0, r1) + 1): + open_cells = [c for c in range(min(c0, c1), max(c0, c1) + 1) if rows[r][c]] + if not open_cells: + continue + if best is None or len(open_cells) < len(best[1]): + best = (r, open_cells) + if best is None: + report.append({"gate": label, "blocked": 0, "note": "no sailable row in box"}) + continue + r, cells = best + for c in cells: + rows[r][c] = 0 + report.append({"gate": label, "row": r, "blocked": len(cells), + "widthUnits": len(cells) * int(geom["csx"])}) + return report + + def lane_topology_gate(rows: list[list[int]], wpm: dict, layout: dict, geom: dict, map_min_x: float, map_min_y: float) -> dict: """G6 (hard gate): the emitted grid must preserve the FULL-RES lane @@ -1913,6 +1968,13 @@ def main() -> None: # NON-BLUE key the green shallow water already RINGS the blue ridge cores, so # the sail-around loops largely emerge naturally; this step only guarantees the # closed single-entrance moat the owner wants around the two shop cores. + # OWNER-DIRECTED lane gate (see OWNER_LANE_GATES): close the east leg of + # the north-most lane's horseshoe. AFTER the connectivity carve so it is + # not re-opened; the gates below re-verify every shop/base is still + # reachable, and G6's anchor set is unaffected (no anchor is stranded). + gate_report = close_owner_lane_gates(rows, geom) + neck_report["ownerLaneGates"] = gate_report + rows_before_loops = [list(r) for r in rows] # snapshot for the westloop compare west_island_report = carve_west_island_loops(rows, layout, geom) neck_report["westIslandLoops"] = west_island_report