2009_Round_1C_C

//bribe the prisoners
//http://blog.youkuaiyun.com/lizo_is_me/article/details/43735509
//compute the sub item first , then left_cost+right_cost+item(i->j)-1 =>cost of bribe i->j
//dp+iterate

//bribe the prisoners
//http://blog.youkuaiyun.com/lizo_is_me/article/details/43735509
//compute the sub item first , then left_cost+right_cost+item(i->j)-1 =>cost of bribe i->j
//dp+iterate
#include<iostream>
#define inf 0x7fffffff
using namespace std;

int a[maxn+10],cost[maxn+10][maxn+10];
void  solve(){
  a[0]=0,a[n+1]=n+1;
  for(int i=0;i<n+1;i++){
    cost[i][i+1]=0;
  }
  for(int w=2;w<=n+1;w++){
    for(int i=0;i+w<=n+1;i++){
      int j=i+w,temp=inf;
      for(int k=i+1;k<j;k++){
        temp=min(temp,cost[i][k]+cost[k][j]);
      }
      cost[i][j]=temp+a[j]-a[i]-1-1;  //first for a[j]-a[i]-1(not include border),the other for minus itself
    }
  }
  cout<<cost[0][n+1];
}