Cod sursa(job #2063913)

Utilizator MaligMamaliga cu smantana Malig Data 11 noiembrie 2017 16:45:42
Problema Parantezare optima de matrici Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.95 kb
#include <iostream>
#include <fstream>
#include <cstring>
#include <vector>
#include <algorithm>

using namespace std;
ifstream in("podm.in");
ofstream out("podm.out");

#define ll long long
#define ull unsigned long long
#define pb push_back
const int NMax = 5e2 + 5;
const ll inf = 1e18 + 5;
const int arbMax = 4*NMax;

int N;
ll dim[NMax],dp[NMax][NMax];

int main() {
    in>>N;
    for (int i=1;i <= N+1;++i) {
        in>>dim[i];
    }

    for (int i=1;i <= N;++i) {
        dp[i][i+1] = dim[i] * dim[i+1] * dim[i+2];
    }

    for (int d=3;d <= N;++d) {
        for (int i=1;i+d-1 <= N;++i) {
            int j = i+d-1;

            dp[i][j] = inf;
            for (int k=i;k < j;++k) {
                ll val = dp[i][k] + dp[k+1][j] + dim[i] * dim[k+1] * dim[j+1];
                dp[i][j] = min(dp[i][j],val);
            }
        }
    }

    out<<dp[1][N]<<'\n';

    in.close();out.close();
    return 0;
}