Cod sursa(job #2895772)

Utilizator LIR16LazarIonutRadu LIR16 Data 29 aprilie 2022 14:26:06
Problema Parantezare optima de matrici Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.7 kb
#include <bits/stdc++.h>

using namespace std;

long long dp[505][505];
long long v[505];
long long n;
int main()
{
    freopen("podm.in", "r", stdin);
    freopen("podm.out", "w", stdout);
    ios::sync_with_stdio(false);
    cin.tie(0); cout.tie(0);

    cin >> n;
    for (int i = 1; i <= n+1; i++)
        cin >> v[i];


    for (int i = 1; i <= n-1; i++) {
        dp[i][i+1] = v[i]*v[i+1]*v[i+2];
    }

	for (int d = 1; d < n; ++d)
		for (int i = 1; i + d <= n; ++i) {
			dp[i][i + d] = 1LL << 60;
			for (int k = i, j = i + d; k < j; ++k)
				dp[i][j] = min(dp[i][j], dp[i][k] + dp[k + 1][j] + 1LL * v[i] * v[k + 1] * v[j + 1]);
		}

    cout << dp[1][n];
    return 0;
}