pat 1011

本文探讨了世界杯足球博彩的策略与收益计算方法,通过分析不同比赛结果的概率,指导玩家如何选择最优投注组合以最大化收益。以实例展示具体计算过程,帮助读者理解并应用到实际投注中。

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1011. World Cup Betting (20)

时间限制
400 ms
内存限制
32000 kB
代码长度限制
16000 B
判题程序
Standard
作者
CHEN, Yue

With the 2010 FIFA World Cup running, football fans the world over were becoming increasingly excited as the best players from the best teams doing battles for the World Cup trophy in South Africa. Similarly, football betting fans were putting their money where their mouths were, by laying all manner of World Cup bets.

Chinese Football Lottery provided a "Triple Winning" game. The rule of winning was simple: first select any three of the games. Then for each selected game, bet on one of the three possible results -- namely W for win, T for tie, and L for lose. There was an odd assigned to each result. The winner's odd would be the product of the three odds times 65%.

For example, 3 games' odds are given as the following:

 W    T    L
1.1  2.5  1.7
1.2  3.0  1.6
4.1  1.2  1.1

To obtain the maximum profit, one must buy W for the 3rd game, T for the 2nd game, and T for the 1st game. If each bet takes 2 yuans, then the maximum profit would be (4.1*3.0*2.5*65%-1)*2 = 37.98 yuans (accurate up to 2 decimal places).

Input

Each input file contains one test case. Each case contains the betting information of 3 games. Each game occupies a line with three distinct odds corresponding to W, T and L.

Output

For each test case, print in one line the best bet of each game, and the maximum profit accurate up to 2 decimal places. The characters and the number must be separated by one space.

Sample Input
1.1 2.5 1.7
1.2 3.0 1.6
4.1 1.2 1.1
Sample Output
T T W 37.98

好水的题啊。

#include <stdio.h>

double games[4][4];

int main()
{
	int i, j;
	double max, sum;
	int index;
	char map[4];

	for(i = 1, sum = 1; i <= 3; i++)
	{
		max = -1;
		index = -1;

		for(j = 1; j <= 3; j++)
		{
			scanf("%lf", &games[i][j]);
			if(games[i][j] > max)
			{
				max = games[i][j];
				index = j;
			}
		}

		sum *= max;

		if(index == 1) map[i] = 'W';

		else if(index == 2) map[i] = 'T';

		else if(index == 3) map[i] = 'L';
	}

	sum = (sum * 0.65 - 1) * 2;

	printf("%c %c %c %.2lf\n", map[1], map[2], map[3], sum);
	return 0;
}


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