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- #include <iostream>
- #include <string>
- #include <sstream>
- #include <cmath>
- #include <memory.h>
- #include <algorithm>
- #include <stack>
- #include <deque>
- #include <iomanip>
- #include <stdio.h>
- #include <queue>
- #include <chrono>
- #include <map>
- #include <set>
- #include <unordered_map>
- #include <unordered_set>
- #include <random>
- #include <ctime>
- #include <cstdlib>
- #define int long long
- #define pii pair <int, int>
- #define pb push_back
- #define all(vc) vc.begin(), vc.end()
- #define fir first
- #define sec second
- #define endl "\n"
- #define un unsigned
- #define sp system("pause")
- #define INF 1000000009
- #define double long double
- using namespace std;
- const int N = 500009, R = 1 << 20, nlog = 19, ABC = 26, MOD = 1e9 + 7;
- mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count());
- vector<pii> euler;
- vector<int> used;
- void cycle(vector<vector<int>> &gr, int v, int p)
- {
- used[v] = 1;
- for (auto u : gr[v])
- {
- if (!used[u])
- {
- cycle(gr, u, v);
- }
- else if (used[u] == 1)
- {
- cout << "No";
- exit(0);
- }
- }
- used[v] = 2;
- return;
- }
- vector<int> dist;
- vector<int> top_sort;
- void ts(vector<vector<int>> &gr, int v)
- {
- used[v] = 1;
- for (auto u : gr[v])
- {
- if (!used[u])
- {
- ts(gr, u);
- }
- }
- top_sort.push_back(v);
- }
- int cur = 1;
- vector<int> ans;
- void dfs(vector<vector<int>> &gr, int v, int p)
- {
- used[v] = 1;
- euler[v].first = cur;
- cur++;
- for (auto u : gr[v])
- {
- if (!used[u] && dist[u] == dist[v] + 1)
- {
- ans[u] = v;
- dfs(gr, u, p);
- }
- else if (used[u])
- {
- if (euler[v].first > euler[u].first)
- {
- cout << "No";
- exit(0);
- }
- }
- }
- euler[v].second = cur;
- cur++;
- return;
- }
- signed main()
- {
- ios_base::sync_with_stdio(false);
- cin.tie(0);
- cout.tie(0);
- int n, m;
- cin >> n >> m;
- euler.assign(n + 1, { 0, 0 });
- ans.assign(n + 1, -1);
- vector<vector<int>> gr(n + 1);
- vector<int> st(n + 1, 0);
- for (int i = 0; i < m; i++)
- {
- int a, b;
- cin >> a >> b;
- gr[a].pb(b);
- st[b]++;
- }
- for (int i = 1; i <= n; i++)
- {
- sort(all(gr[i]));
- gr[i].erase(unique(all(gr[i])), gr[i].end());
- }
- int cnt = 0, start = 0;
- for (int i = 1; i <= n; i++)
- {
- if (st[i] == 0)
- {
- cnt++;
- start = i;
- }
- }
- if (cnt != 1)
- {
- cout << "No";
- exit(0);
- }
- used.assign(n + 1, 0);
- cycle(gr, start, -1);
- for (int i = 1; i <= n; i++)
- {
- if (!used[i])
- {
- cout << "No";
- exit(0);
- }
- }
- used.assign(n + 1, 0);
- ts(gr, start);
- reverse(all(top_sort));
- dist.assign(n + 1, 0);
- dist[start] = 1;
- for (auto i : top_sort)
- {
- for (auto u : gr[i])
- {
- dist[u] = max(dist[u], dist[i] + 1);
- }
- }
- used.assign(n + 1, 0);
- dfs(gr, start, -1);
- cout << "Yes" << endl;
- for (int i = 1; i <= n; i++)
- {
- cout << ans[i] << " ";
- }
- //sp;
- return 0;
- }
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