#include <stdio.h>
#include <stdlib.h>
typedef struct {
char name[20];
int time;
int score;
} Attraction;
int max(int a, int b) {
return (a > b) ? a : b;
}
Attraction optimize_trip(int days, Attraction attractions[], int num_attractions) {
int dp[num_attractions + 1][days + 1];
for (int i = 0; i <= num_attractions; i++) {
for (int j = 0; j <= days; j++) {
if (i == 0 || j == 0)
dp[i][j] = 0;
else if (attractions[i - 1].time <= j)
dp[i][j] = max(dp[i - 1][j], dp[i - 1][j - attractions[i - 1].time] + attractions[i - 1].score);
else
dp[i][j] = dp[i - 1][j];
}
}
Attraction selected_attraction = attractions[num_attractions - 1];
int i = num_attractions;
int j = days;
while (i > 0 && j > 0) {
if (dp[i][j] != dp[i - 1][j]) {
selected_attraction = attractions[i - 1];
j -= attractions[i - 1].time;
}
i--;
}
return selected_attraction;
}
int main() {
int days = 4;
Attraction attractions[] = {{"故宫", 1, 7}, {"颐和园", 2, 8}, {"长城", 3, 9}, {"天坛", 1, 6}};
int num_attractions = sizeof(attractions) / sizeof(attractions[0]);
Attraction selected_attraction = optimize_trip(days, attractions, num_attractions);
printf("去以下景点能够获得最大价值:\n");
for (int i = 0; i < num_attractions; i++) {
if (attractions[i].time == selected_attraction.time && attractions[i].score == selected_attraction.score)
printf("%s\n", attractions[i].name);
}
return 0;
}