Cod sursa(job #3323820)

Utilizator marelucaMare Luca Ghita mareluca Data 19 noiembrie 2025 22:43:53
Problema Ciclu hamiltonian de cost minim Scor 0
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.22 kb
#include <bits/stdc++.h>

std::ifstream fin("hamilton.in");
std::ofstream fout("hamilton.out");

const int NMAX = 18;
const int INF = INT_MAX / 2;

int dp[1 << NMAX][NMAX];

int n, m;
std::vector<std::pair<int, int>> graph[NMAX];

int main() {
    fin >> n >> m;

    for(int i = 1; i <= m; ++i) {
        int c, x, y;
        fin >> c >> x >> y;
        graph[x].push_back( { c, y } );
    }

    memset(dp, INF, sizeof(dp));
    dp[1][1] = 0;

    for(int mask = 0; mask < (1 << n); ++mask) {
        if(mask & 1 == 0) {
            continue;
        }

        for(int i = 1; i <= n; ++i) {
            if(mask & (1 << (i - 1))) {
                int prevMask = mask ^ (1 << (i - 1));
                if(prevMask == 0) continue;

                for(int j = 1; j <= n; ++j) {
                    if(prevMask & (1 << (j - 1))) {
                        dp[mask][i] = std::min(dp[mask][i], dp[prevMask][j] + graph[j][i].first);
                    }
                }
            }
        }
    }

    int ans = INF;
    for(int i = 2; i <= n; ++i) {
        ans = std::min(ans, dp[1 << (n - 1)][i] + graph[i][1].first);
    }

    if (ans == INF) {
        fout << "Nu exista solutie";
    } else {
        fout << ans;
    }

    return 0;
}