Cod sursa(job #1219278)

Utilizator gabrielinelusGabriel-Robert Inelus gabrielinelus Data 13 august 2014 21:40:46
Problema Parantezare optima de matrici Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.52 kb
#include <cstdio>
#include <algorithm>

#define INF 1LL*9000000000000000

using namespace std;
int N;
long long DP[505][505];
long long v[505];


void read( void )
{
    scanf("%d",&N);
    for(int i = 1; i <= N + 1; ++i)
        scanf("%lld", &v[i]);
    for(int i = 0; i <= N + 1; ++i)
        for(int j = 0; j <= N + 1; ++j)
            if(i != j)
                DP[i][j] = INF;
}

long long minim(long long a,long long b)
{
    if(a < b)
        return a;
    return b;
}

void solve()
{
    int i,j,k;
    for(int d = 2; d <= N; ++d)
    {
        i = 1;
        for(j = d; j <= N; ++j,++i)
            for(k = i ; k < j; ++k)
                if(DP[i][j] >  DP[i][k] + DP[k+1][j] + v[i]*v[k+1]*v[j+1] )
                {
                    DP[i][j] = DP[i][k] + DP[k+1][j] + v[i]*v[k+1]*v[j+1];
                    DP[j][i] = k;
                }
    }
    printf("%lld\n",DP[1][N]);
}
int nr;

void print(int li,int lf)
{
    if(li == lf)
    {
        printf("A%d",++nr);
        return;
    }
    if(li != DP[lf][li])
    {
        printf("(");
        print(li,DP[lf][li]);
        printf(")");
    }
    else
        print(li,DP[lf][li]);
    printf(" x ");
    if(lf != DP[lf][li] + 1)
    {
        printf("(");
        print(DP[lf][li]+1,lf);
        printf(")");
    }
    else
        print(DP[lf][li]+1,lf);
}

int main()
{
    freopen("podm.in","r",stdin);
    freopen("podm.out","w",stdout);

    read();
    solve();
    ///print(1,N);

    return 0;
}