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UVA 542 France '98

2013-10-21 14:21 260 查看
题意:求每个队伍夺冠的概率,用dp[i][j]表示前i轮j获胜的可能性,还有就是确保当前两个对手不是前一轮的对手
#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
const int MAXN = 20;

int d[10];
double g[MAXN][MAXN],f[10][MAXN];
//f[i][j] 代表前i轮j获胜的概率
char name[MAXN][15];

int main(){
    for (int i = 0; i < 16; i++)
        scanf("%s",name[i]);
    for (int i = 0; i < 16; i++)
        for (int j = 0; j < 16; j++)
            scanf("%lf",&g[i][j]);
    memset(f,0,sizeof(f));
    d[0] = 1;
    for (int i = 1; i <= 4; i++)
        d[i] = d[i-1] * 2;
    for (int i = 0; i < 16; i++)
        f[0][i] = 100;
    for (int i = 1; i <= 4; i++)
        for (int j = 0; j < 16; j++)
            for (int k = 0; k < 16; k++){
                //确保当前他们是对手,并且前一轮不是对手
                if (k/d[i] == j/d[i] && k/d[i-1] != j/d[i-1])
                    f[i][j] += f[i-1][j] * f[i-1][k] *g[j][k] / 10000;
            }
    for (int i = 0; i < 16; i++)
        printf("%-10s p=%.2f%%\n",name[i],f[4][i]);
    return 0;
}
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