pta田忌赛马贪心算法c语言完整代码

PTA（Problem Translation Archive）田忌赛马是一个经典的动态规划或贪心算法问题。在C语言中实现田忌赛马的贪心策略涉及找到最优的比赛顺序以达到胜利。以下是简化的C代码示例：

#include <stdio.h>

#define RACE_1 0
#define RACE_2 1
#define RACE_3 2

// 定义每匹马在三个比赛中的得分
int horses = {
    {3, 0, 0}, // 马A vs B: A胜
    {0, 2, 0}, // 马B vs C: B胜
    {0, 0, 1}  // 马C vs A: C胜
};

// 贪心函数，选择当前最有利的比赛
int greedy_strategy(int *remaining_horses) {
    int best_score = -1;
    int best_race = -1;

    for (int i = 0; i < 3; i++) {
        if (remaining_horses[RACE_1] && remaining_horses[RACE_2] && remaining_horses[RACE_3]) {
            // 计算三种组合的胜负情况，找出最高分
            int score = horses[i] + horses[(i+1)%3] + horses[(i+2)%3];
            if (score > best_score) {
                best_score = score;
                best_race = i;
            }
        }
    }

    return best_race;
}

int main() {
    int a_remaining = 3, b_remaining = 3, c_remaining = 3; // 初始化每匹马的剩余次数

    while (a_remaining > 0 && b_remaining > 0 && c_remaining > 0) {
        int race = greedy_strategy(&a_remaining);
        switch (race) {
            case RACE_1:
                a_remaining--;
                break;
            case RACE_2:
                b_remaining--;
                break;
            case RACE_3:
                c_remaining--;
                break;
        }
        printf("Round %d: A wins against B or C\n", a_remaining+b_remaining+c_remaining);
    }

    return 0;
}