1 条题解

  • 0
    @ 2025-5-5 13:37:37

    使用动态规划来解决这个问题。

    #include <cstdio>
    #include <cstring>
    #include <cstdlib>
     
    const int N = 105;
    const int M = 10005;
    const int INF = 0x3f3f3f3f;
     
    int n, a[N];
    double p[N];
    int dp[M], path[M];
     
    void print(int u) {
        if (u - a[path[u]] == 0) {
    	printf("%d", path[u]);
    	return;
        }
        print(u - a[path[u]]);
        printf(" %d", path[u]);
    }
     
    int main() {
        while (~scanf("%d", &n) && n) {
    	double sum = 0;
    	for (int i = 1; i <= n; i++) {
    	    scanf("%lf", &p[i]);
    	    sum += p[i];
    	}
    	memset(dp, 0, sizeof(dp));
    	dp[0] = 1;
    	for (int i = 1; i <= n; i++) {
    	    a[i] = p[i] / sum * 10000;
    	    for (int j = 10000; j >= a[i]; j--) {
    		if (dp[j - a[i]] && !dp[j]) {
    		    dp[j] = dp[j - a[i]];
    		    path[j] = i;
    		}
    	    }
    	}
    	int v = 0;
    	for (int i = 10000; i; i--) {
    	    if (dp[i] && abs(10000 - 2 * v) > abs(10000 - 2 * i))
    		v = i;
    	}
    	print(v);
    	printf("\n");
        }
        return 0;
    }
    
    • 1

    信息

    ID
    854
    时间
    1000ms
    内存
    256MiB
    难度
    10
    标签
    递交数
    1
    已通过
    1
    上传者