Cod sursa(job #2419163)

Utilizator alexoloieriAlexandru Oloieri alexoloieri Data 7 mai 2019 18:39:44
Problema Parantezare optima de matrici Scor 80
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.88 kb
#include <bits/stdc++.h>
#define nmax 510
#define lld long long
#define inf 999999999999999LL
using namespace std;
int n, a[nmax];
lld ans, dp[nmax][nmax];
int main()
{
    freopen("podm.in","r",stdin);
    freopen("podm.out","w",stdout);
    scanf("%d",&n);
    for (int i=1; i<=n+1; ++i)
        scanf("%d",&a[i]);
    for (int i=1; i<=n; ++i)
        for (int j=i; j<=n; ++j)
            dp[i][j] = inf;
    for (int i=1; i<=n; ++i)
        dp[i][i+1] = a[i]*a[i+1]*a[i+2], dp[i][i] = 0;
    for (int j=3; j<=n; ++j)
    {
        int c = j;
        int l = 1;
        while (c<=n)
        {
            for (int k=l; k<c; ++k)
                dp[l][c] = min(dp[l][c], dp[l][k]+dp[k+1][c]+a[l]*a[k+1]*a[c+1]);
            ++l;
            ++c;
        }
    }
    ans = dp[1][n];
    printf("%lld\n",ans);
    fclose(stdin);
    fclose(stdout);
    return 0;
}