uva 542 - France '98(概率）

题目大意：有16支球队比赛，给出16支球队的名称，然后给出16*16的表格，g[i][j] 表示i队胜j队的概率，问说16支球队获得总冠军的概率。

解题思路：模拟比赛的过程，将队伍分组，每次和组内的其他队伍决胜负，概率之和即为出现的概率，只要处理好下标就可以了。

#include <stdio.h>

#include <string.h>

#include <math.h>

const int N = 16;

char name[N + 10][N + 10];

double p[N + 10][N + 10];

double ans[N + 10], rec[N + 10];

void init() {

	for (int i = 1; i <= N; i++)

		scanf("%s", name[i]);

	int c;

	for (int i = 1; i <= N; i++)

		for (int j = 1; j <= N; j++) {

			scanf("%d", &c);

			p[i][j] = c / 100.0;

		}

	for (int i = 1; i <= N; i++)

		ans[i] = 1;

}

int main () {

	int group, tmp, g, s;

	init();

	for (int i = 0; i < 4; i++) {

		group = pow(2, i + 1);

		tmp = group / 2;

		for (int i = 1; i <= N; i++) {

			double c = 0;

			g = (i - 1) / group;

			if ((i - 1) % group < tmp) {

				s = g * group + tmp;

			} else {

				s = g * group;

			}

			for (int j = 1; j <= tmp; j++)

				c += ans[i] * p[i][j + s] * ans[j + s];

			rec[i] = c;

		}

		memcpy(ans, rec, sizeof(ans));

	}

	for (int i = 1; i <= N; i++)

		printf("%-10s p=%.2lf%c\n", name[i], ans[i] * 100, '%'); 

	return 0;

}