[PAT甲级]1011. World Cup Betting (20)(世界杯投注)
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1011. World Cup Betting (20)
原题链接
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 1.71.2 3.0 1.64.1 1.2 1.1
Sample Output
T T W 37.98
题目大意:
- 给出三行数字,代表三场比赛,每行有3个数字,分别是W T L三个投注,代表概率
- 输出每场比赛的最大概率的投注和获得的最大利润,保留两位小数
- 设每场比赛最大概率是max1 max2 max3, 最大利润 = (max1*max2*max3*65%-1)*2
代码:
#include <iostream>#include <vector>#include <cstdio>using namespace std;int main(){ char c[] = {'W', 'T', 'L'}; vector<double> first(3); vector<double> secend(3); vector<double> third(3); vector<int> res;//存储最大值的下标 int Max = 0; for(int i=0; i<3; i++){ cin >> first[i]; if(first[Max] <= first[i]) Max = i; } res.push_back(Max); Max = 0; for(int i=0; i<3; i++){ cin >> secend[i]; if(secend[Max] <= secend[i]) Max = i; } res.push_back(Max); Max = 0; for(int i=0; i<3; i++){ cin >> third[i]; if(third[Max] <= third[i]) Max = i; } res.push_back(Max); cout << c[res[0]] << " " << c[res[1]] << " " << c[res[2]] << " "; printf("%.2f", (first[res[0]]*secend[res[1]]*third[res[2]]*0.65-1)*2); return 0;}
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