Cod sursa(job #2297597)

Utilizator AndreiTudorAndrei Tudor AndreiTudor Data 6 decembrie 2018 09:24:55
Problema Parantezare optima de matrici Scor 70
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.9 kb
#include <bits/stdc++.h>

#define INF 100000000000000000LL
using namespace std;
ifstream fin("podm.in");
ofstream fout("podm.out");
int n,i,j,k,w,d[10001],p[10001][10001];
int main()
{
    fin>>n;
    for(i=0;i<=n;++i)
        fin>>d[i];
    /*for(i=1;i<=n;++i)
        m[i][i]=0;
    for(i=1;i<=n-1;++i)
        m[i][i + 1] = d[i - 1] * d[i] * d[i + 1];
    for(w=2;w<=n-1;++w)
    for(i=1;i<=n-w;++i){
        int j = i + w;
        m[i][j] = 100000000000000000;
        for(k=i;k<=j-1;++k)
            m[i][j] = min(m[i][j], m[i][k] + m[k + 1][j] + d[i - 1] * d[k] * d[j]);
    }*/
    for( int i=1;i<=n-1;i++ )
    p[i][i+1]=d[i-1]*d[i]*d[i+1];

  for( int j=2;j<=n-1;j++ )
    for( int i=1;i<=n-j;i++ )
    {
      p[i][i+j]=INF;

      for( int k=i;k<=i+j-1;k++ )
        p[i][i+j]=min(p[i][i+j],p[i][k]+p[k+1][i+j]+d[i-1]*d[k]*d[i+j]);
    }

    fout<<p[1][n];
    return 0;
}