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- #include <iostream>
- #include <vector>
- #include <string>
- #include <iomanip>
- #include <queue>
- #include <cmath>
- #include <algorithm>
- #include <tuple>
- #include <iomanip>
- #include <stdio.h>
- #include <map>
- #include <bitset>
- #include <set>
- #include <stack>
- #include <queue>
- #include <unordered_set>
- #include <cassert>
- #include <stdlib.h>
- #include <time.h>
- #include <random>
- //#pragma GCC optimize("Ofast,no-stack-protector")
- //#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")
- //#pragma GCC optimize("unroll-loops")
- //#pragma GCC optimize("fast-math")
- //#pragma GCC optimize("section-anchors")
- //#pragma GCC optimize("profile-values,profile-reorder-functions,tracer")
- //#pragma GCC optimize("vpt")
- //#pragma GCC optimize("rename-registers")
- //#pragma GCC optimize("move-loop-invariants")
- //#pragma GCC optimize("unswitch-loops")
- //#pragma GCC optimize("function-sections")
- //#pragma GCC optimize("data-sections")
- //#pragma GCC optimize("branch-target-load-optimize")
- //#pragma GCC optimize("branch-target-load-optimize2")
- //#pragma GCC optimize("btr-bb-exclusive")
- #define int long long
- #define ll long long
- #define ull unsigned long long
- #define all(a) a.begin(), a.end()
- #define pii pair<int, int>
- #define pb push_back
- #define ld long double
- using namespace std;
- const int INF = 1e17;
- //const int mod = 2600000069;
- //const int p = 179;
- signed main() {
- ios_base::sync_with_stdio(0);
- cin.tie(0);
- cout.tie(0);
- int n;
- cin >> n;
- assert(n < 15);
- vector<vector<int>> g(n, vector<int>(n));
- for (int i = 0; i < n; i++) {
- for (int j = 0; j < n; j++) cin >> g[i][j];
- }
- vector<vector<int>> dp((1 << n), vector<int>(n, INF));
- vector<vector<pii>> p((1 << n), vector<pii>(n, {-1, -1}));
- set<pii> cur = {{1, 0}}, next;
- dp[1][0] = 0;
- for (int i = 1; i < n; i++) {
- for (auto m : cur) {
- for (int to = 0; to < n; to++) {
- if (g[m.second][to] == 0 || ((m.first >> to) & 1)) continue;
- dp[m.first | (1 << to)][to] = min(dp[m.first][m.second] + g[m.second][to], dp[m.first | (1 << to)][to]);
- next.insert({(m.first | (1 << to)), to});
- p[(m.first | (1 << to))][to] = {m.first, m.second};
- }
- }
- cur = next;
- next.clear();
- }
- // for (int i = 0; i < n; i++) {
- // cout << dp[(1 << n) - 1][i] << "\n";
- // }
- int m = INF, curs = -1;
- for (int i = 0; i < n; i++) {
- if (dp[(1 << n) - 1][i] < m) {
- curs = i;
- m = dp[(1 << n) - 1][i];
- }
- }
- int curf = (1 << n) - 1;
- if (m == INF) {
- cout << -1;
- return 0;
- }
- vector<int> path = {};
- pii ss;
- while (curf != -1) {
- path.pb(curs);
- ss = p[curf][curs];
- curf = ss.first;
- curs = ss.second;
- }
- reverse(all(path));
- assert(path.size() == n && path[0] == 0);
- cout << m << "\n";
- for (auto k : path) cout << k + 1 << " ";
- }
- /*
- 3
- 0 3 2
- 3 0 6
- 2 6 0
- 5
- 0 6 4 0 0
- 6 0 7 0 7
- 4 7 0 0 0
- 0 0 0 0 2
- 0 7 0 2 0
- */
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