#include <stdio.h>
#define MAX_DAYS 4
#define NUM_PLACES 4
typedef struct {
char name[20];
int days;
int score;
} Place;
// 动态规划函数
void optimizeTrip(Place places[], int dp[][MAX_DAYS + 1], int num_places, int max_days) {
for (int i = 0; i <= num_places; i++) {
for (int j = 0; j <= max_days; j++) {
if (i == 0 || j == 0) {
dp[i][j] = 0;
} else if (places[i - 1].days <= j) {
dp[i][j] = (places[i - 1].score + dp[i - 1][j - places[i - 1].days] > dp[i - 1][j]) ?
places[i - 1].score + dp[i - 1][j - places[i - 1].days] : dp[i - 1][j];
} else {
dp[i][j] = dp[i - 1][j];
}
}
}
}
// 打印最优解
void printOptimalTrip(Place places[], int dp[][MAX_DAYS + 1], int num_places, int max_days) {
int i = num_places;
int j = max_days;
while (i > 0 && j > 0) {
if (dp[i][j] != dp[i - 1][j]) {
printf("去%s,时间:%d天,评分:%d分\n", places[i - 1].name, places[i - 1].days, places[i - 1].score);
j -= places[i - 1].days;
}
i--;
}
}
int main() {
Place places[] = {
{"故宫", 1, 7},
{"颐和园", 2, 8},
{"长城", 3, 9},
{"天坛", 1, 6}
};
int dp[NUM_PLACES + 1][MAX_DAYS + 1];
optimizeTrip(places, dp, NUM_PLACES, MAX_DAYS);
printf("最优旅游行程如下:\n");
printOptimalTrip(places, dp, NUM_PLACES, MAX_DAYS);
return 0;
}