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- /**
- * code generated by JHelper
- * More info: https://github.com/AlexeyDmitriev/JHelper
- * @author gainullin.ildar
- */
- #include <bits/stdc++.h>
- #include <cmath>
- #include <iostream>
- #include <vector>
- #include <algorithm>
- #include <string>
- #include <set>
- #include <map>
- #include <list>
- #include <time.h>
- #include <math.h>
- #include <random>
- #include <deque>
- #include <queue>
- #include <cassert>
- #include <unordered_map>
- #include <iomanip>
- using namespace std;
- typedef long long ll;
- typedef unsigned long long ull;
- const int N = 4000 + 7;
- int g[N][N];
- int deg[N];
- int n;
- vector<int> rec(int ed)
- {
- if (ed == n * (n - 1) / 2)
- {
- vector<int> a(n);
- for (int i = 0; i < n; i++)
- {
- a[i] = i;
- }
- return a;
- }
- else
- {
- int x = -1, y = -1;
- int res = 0;
- for (int i = 0; i < n; i++)
- {
- for (int j = i + 1; j < n; j++)
- {
- if (!g[i][j] && deg[i] + deg[j] > res)
- {
- x = i, y = j;
- res = deg[i] + deg[j];
- }
- }
- }
- g[x][y] = g[y][x] = 1;
- auto a = rec(ed + 1);
- int pos = -1;
- for (int i = 0; i < n; i++)
- {
- if ((a[i] == x && a[(i + 1) % n] == y) || (a[i] == y && a[(i + 1) % n] == x))
- {
- pos = i;
- break;
- }
- }
- g[x][y] = g[y][x] = 0;
- if (pos == -1)
- {
- return a;
- }
- else
- {
- rotate(a.begin(), a.begin() + (pos + 1) % n, a.end());
- for (int i = 1; i < n - 2; i++)
- {
- if (g[a[0]][a[i + 1]] && g[a[i]][a[n - 1]])
- {
- vector<int> ans;
- ans.push_back(a[0]);
- ans.push_back(a[i + 1]);
- for (int j = i + 2; j < n; j++)
- {
- ans.push_back(a[j]);
- }
- ans.push_back(a[i]);
- for (int x = i - 1; x > 0; x--)
- {
- ans.push_back(a[x]);
- }
- return ans;
- }
- }
- assert(0);
- }
- }
- }
- class Main
- {
- public:
- void solve(std::istream &in, std::ostream &out)
- {
- srand(time(0));
- in >> n;
- for (int i = 0; i < n; i++)
- {
- for (int j = 0; j < n; j++)
- {
- g[i][j] = 0;
- }
- }
- int ans = 0;
- for (int i = 0; i < n; i++)
- {
- for (int j = 0; j < i; j++)
- {
- char c;
- in >> c;
- g[i][j] = g[j][i] = (c == '1');
- ans += g[i][j];
- deg[i] += g[i][j];
- deg[j] += g[j][i];
- }
- }
- vector<int> res = rec(ans);
- for (int i = 0; i < n; i++)
- {
- out << res[i] + 1 << ' ';
- }
- out << '\n';
- }
- };
- int main()
- {
- ios::sync_with_stdio(0);
- Main solver;
- std::istream &in(std::cin);
- std::ostream &out(std::cout);
- solver.solve(in, out);
- return 0;
- }
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