#include #include #include using namespace std; using ll = long long; using pii = pair; using pll = pair; using vi = vector; using vl = vector; #define rep3(i, a, b, c) for (ll i = (a); i < (b); i += (c)) #define rep2(i, a, b) rep3(i, a, b, 1) #define rep1(i, n) rep2(i, 0, n) #define rep0(n) rep1(aaaaa, n) #define ov4(a, b, c, d, name, ...) name #define rep(...) ov4(__VA_ARGS__, rep3, rep2, rep1, rep0)(__VA_ARGS__) #define per(i, a, b) for (ll i = (a) - 1; i >= (b); i--) #define fore(e, v) for (auto &&e : v) #define all(a) begin(a), end(a) #define sz(a) (int)(size(a)) #define lb(v, x) (lower_bound(all(v), x) - begin(v)) #define eb emplace_back template bool chmin(T &a, const S &b) { return a > b ? a = b, 1 : 0; } template bool chmax(T &a, const S &b) { return a < b ? a = b, 1 : 0; } const int INF = 1e9 + 100; const ll INFL = 3e18 + 100; #define i128 __int128_t struct _ { _() { cin.tie(0)->sync_with_stdio(0), cout.tie(0); } } __; int main() { int N, M, K; cin >> N >> M >> K; atcoder::scc_graph G(N); vector E(N, vi()); rep(M) { int U, V; cin >> U >> V; --U, --V; G.add_edge(U, V); E[U].push_back(V); } auto scc = G.scc(); vi comp(N); rep(i, sz(scc)) { for (auto v : scc[i]) comp[v] = i; } auto ng = [&]() { cout << "No\n"; exit(0); }; vi dist(N, INF); vector DAGe(sz(scc), set()); rep(i, N) { if (dist[i] < INF) continue; dist[i] = 0; int c = comp[i]; if (sz(scc[c]) == 1) continue; queue bfs; bfs.push(i); bool ok = 0; while (!bfs.empty()) { int v = bfs.front(); bfs.pop(); for (auto u : E[v]) { if (comp[u] == comp[v]) { if (dist[u] > dist[v] + 1) { dist[u] = dist[v] + 1; bfs.push(u); } else { if (dist[u] % 2 == dist[v] % 2) ok = 1; } } else { DAGe[c].insert(comp[u]); } } } if (!ok) ng(); } if (comp[0] != 0) ng(); if (sz(scc[0]) == 1) ng(); rep(i, sz(scc) - 1) if (sz(scc[i]) == 1 && sz(scc[i + 1]) == 1) ng(); rep(i, sz(scc) - 1) if (!DAGe[i].contains(i + 1)) ng(); cout << "Yes\n"; }