Optimal Binary Search Tree
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#include <iostream>#include <string.h>#include <stdlib.h>#include <stdio.h>using namespace std;#define MAXN 300#define INF 0x1f1f1f1fint n;int f[MAXN];int dp[MAXN][MAXN];int sum[MAXN];void input(){ sum[0] = 0; for( int i = 1; i <= n; i++) { scanf("%d",&f[i]); sum[i] = sum[i-1] + f[i]; }}int main(){ while(scanf("%d",&n) != EOF) { input(); memset(dp, 0, sizeof(dp)); for( int k = 1; k < n; k++) { for( int i = 1; i + k <= n; i++) { dp[i][i+k] = INF; for( int l = i ; l <= i + k; l++) { dp[i][i+k] = min(dp[i][l-1] + dp[l + 1][i+k] + sum[i + k] - sum[i - 1] - f[l] , dp[i][i+k] ); } } } printf("%d\n",dp[1][n]); }}
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