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N.cpp
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61 lines (53 loc) · 979 Bytes
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//#pragma GCC optimize "trapv"
#include<bits/stdc++.h>
#define ll long long int
#define fab(a,b,i) for(int i=a;i<b;i++)
#define pb push_back
#define db double
#define mp make_pair
#define endl "\n"
#define f first
#define se second
#define all(x) x.begin(),x.end()
#define MOD 1000000007
#define quick ios_base::sync_with_stdio(false);cin.tie(NULL)
using namespace std;
const ll INF=1e18+7;
ll dp[405][405];
//dp[i][j] denotes the minimum sum to combine interval i...j
// final answer will be dp[0][n-1]
ll rangesum(vector<ll> a,int l,int r)
{
ll sum=0;
fab(l,r+1,i)
sum+=a[i];
return sum;
}
int main()
{ quick;
int n;
cin>>n;
vector<ll> a(n);
//memset(dp,(ll)INF,sizeof(dp));
fab(0,n,i)
cin>>a[i];
for(int i=n-1;i>=0;i--)
{
fab(i,n,j)
{
if(i==j)
{
dp[i][j]=0;
}
else
{
dp[i][j]=INF;
fab(i,j,k)
dp[i][j]=min(dp[i][k]+dp[k+1][j],dp[i][j]);
dp[i][j]+=rangesum(a,i,j);
}
}
}
cout<<dp[0][n-1]<<endl;
return 0;
}