poorPigs.cpp

class Solution {
public:
    int poorPigs(int buckets, int poisonTime, int totalTime) {
        return ceil(log(buckets) / log(totalTime / poisonTime + 1));
    }
};

// DP
class Solution {
public:
    int poorPigs(int buckets, int minutesToDie, int minutesToTest) {
        if (buckets == 1) {
            return 0;
        }
        vector<vector<int>> combinations(buckets + 1,vector<int>(buckets + 1));
        combinations[0][0] = 1;
        int iterations = minutesToTest / minutesToDie;
        vector<vector<int>> f(buckets, vector<int>(iterations + 1));
        for (int i = 0; i < buckets; i++) {
            f[i][0] = 1;
        }
        for (int j = 0; j <= iterations; j++) {
            f[0][j] = 1;
        }
        for (int i = 1; i < buckets; i++) {
            combinations[i][0] = 1;
            combinations[i][i] = 1;
            for (int j = 1; j < i; j++) {
                combinations[i][j] = combinations[i - 1][j - 1] + combinations[i - 1][j];
            }
            for (int j = 1; j <= iterations; j++) {
                for (int k = 0; k <= i; k++) {
                    f[i][j] += f[k][j - 1] * combinations[i][i - k];
                }
            }
            if (f[i][iterations] >= buckets) {
                return i;
            }
        }
        return 0;
    }
};

// 作者：LeetCode-Solution
// 链接：https://leetcode.cn/problems/poor-pigs/solution/ke-lian-de-xiao-zhu-by-leetcode-solution-z0h7/
// 来源：力扣（LeetCode）
// 著作权归作者所有。商业转载请联系作者获得授权，非商业转载请注明出处。