Cod sursa(job #1362520)

Utilizator mirceadinoMircea Popoveniuc mirceadino Data 26 februarie 2015 13:16:25
Problema Parantezare optima de matrici Scor 70
Compilator cpp Status done
Runda Arhiva educationala Marime 0.94 kb
#include<cstdio>
#include<string>

using namespace std;

#ifdef HOME
const string inputFile = "input.txt";
const string outputFile = "output.txt";
#else
const string problemName = "podm";
const string inputFile = problemName + ".in";
const string outputFile = problemName + ".out";
#endif

const int INF = (1 << 30);
const int NMAX = 500 + 5;

int N;
int A[NMAX];
int DP[NMAX][NMAX];

int main() {
    int i, j, k, d;

    freopen(inputFile.c_str(), "r", stdin);
    freopen(outputFile.c_str(), "w", stdout);

    scanf("%d", &N);

    for(i = 0; i <= N; i++)
        scanf("%d", &A[i]);

    for(i = 1; i <= N; i++)
        DP[i][i + 1] = A[i - 1] * A[i] * A[i + 1];

    for(d = 2; d <= N; d++)
        for(i = 1, j = 1 + d; j <= N; i++, j++) {
            DP[i][j] = INF;
            for(k = i; k <= j; k++)
                DP[i][j] = min(DP[i][j], DP[i][k] + DP[k + 1][j] + A[i - 1] * A[k] * A[j]);
        }

    printf("%d\n", DP[1][N]);

    return 0;
}