hdu4283(You Are the One)（dps+dp）

#include <iostream>
#include <cstdio>
#include <algorithm>
#define INF 0x3f3f3f3f
#define MAXN 100
using namespace std;

int N, s[MAXN+5], f[MAXN+5][MAXN+5], seq[MAXN+5];

int dfs(int x, int y) {
if (f[x][y] != INF) {
return f[x][y];
} else if (x >= y) return 0;
for (int i = 0; i <= y-x ; ++i) {
f[x][y] = min(f[x][y], dfs(x+1, x+i) + dfs(x+i+1, y) + (i+1)*(s[y]-s[x+i]) + i*seq[x]);
}
return f[x][y];
}

int main() {
int T, ca = 0;
scanf("%d", &T);
while (T--) {
memset(f, 0x3f, sizeof (f));
scanf("%d", &N);
for (int i = 1; i <= N; ++i) {
scanf("%d", seq+i);
s[i] = s[i-1] + seq[i];
}
printf("Case #%d: %d\n", ++ca, dfs(1, N));
}
return 0;
}