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[POJ2151]Check the difficulty of problems(概率DP)

nbsp amp -1 get mem blank targe pre include

傳送門

每個隊之間是獨立的

f[i][j]表示當前隊伍前i個題答對j個的概率

滿足條件的概率 == 全部方案(除去答對0)的概率 - 不滿足條件的概率(每個隊伍答對1~n-1)

#include <cstdio>
#include <cstring>
#define N 101

int m, t, n;
double sum, p1, p2, f[N][N];

int main()
{
	int i, j, k;
	double x;
	while(~scanf("%d %d %d", &m, &t, &n) && (n + m + t))
	{
		p1 = p2 = 1;
		for(i = 1; i <= t; i++)
		{
			memset(f, 0, sizeof(f));
			f[0][0] = 1;
			for(j = 1; j <= m; j++)
			{
				scanf("%lf", &x);
				for(k = 0; k <= j; k++)
				{
					if(k) f[j][k] += f[j - 1][k - 1] * x;
					f[j][k] += f[j - 1][k] * (1.0 - x);
				}
			}
			sum = 0;
			for(j = 1; j < n; j++) sum += f[m][j];
			p1 *= 1.0 - f[m][0];
			p2 *= sum;
		}
		printf("%.3lf\n", p1 - p2);
	}
	return 0;
}

  

[POJ2151]Check the difficulty of problems(概率DP)