dp[x][y]表示合并[x, y]区间的石子的最小花费,将区间长度递增枚举即可。
AC代码:
#include<cstdio>#include<algorithm>using namespace std;const int inf = 1 << 30;const int maxn = 200 + 5;int dp[maxn][maxn], a[maxn], sum[maxn];int solve(int n){ for(int i = 1; i < n; ++i) dp[i][i] = 0; for(int i = 2; i <= n; ++i) for(int j = 1; j <= n - i + 1; ++j){ int x = j, y = j + i - 1; dp[x][y] = inf; for(int k = j; k < y; ++k){ dp[x][y] = min((dp[x][k] + dp[k + 1][y]) + sum[y] - sum[x - 1], dp[x][y]); } } return dp[1][n];}int main(){ int n; while(scanf("%d", &n) == 1){ sum[0] = 0; for(int i = 1; i <= n; ++i) { scanf("%d", &a[i]); sum[i] = sum[i - 1] + a[i]; } PRintf("%d/n", solve(n)); } return 0;}如有不当之处欢迎指出!
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