#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); } } __; template struct SCC { G g; // vector or vector vector rg; vi comp, ord, used; int num; // 連結成分の数 SCC(G g) : g(g), rg(sz(g)), comp(sz(g), -1), ord(sz(g)), used(sz(g)) { rep(i, sz(g)) fore(e, g[i]) rg[e].eb(i); build(); }; // 4587f363 int operator[](int k) { return comp[k]; } void dfs(int x) { if (used[x]) return; used[x] = true; fore(e, g[x]) if (!used[e]) dfs(e); ord.eb(x); } // 14b1a925 void rdfs(int x, int cnt) { if (comp[x] != -1) return; comp[x] = cnt; fore(e, rg[x]) if (comp[e] == -1) rdfs(e, cnt); } // de35b0e0 void build() { rep(i, g.size()) dfs(i); reverse(all(ord)); num = 0; fore(i, ord) if (comp[i] == -1) { rdfs(i, num), num++; } } // d3ed3d5a }; int main() { int N, M, K; cin >> N >> M >> K; vector G(N, vi()); rep(M) { int U, V; cin >> U >> V; --U, --V; G[U].push_back(V); } SCC G_SCC(G); auto comp = G_SCC.comp; int L = G_SCC.num; vector> G_DAG(L), revG_DAG(L); auto ng = [&]() { cout << "No\n"; exit(0); }; vi dist(N, INF), oddcycle(L); // SCC Graphの構成 rep(i, N) { if (dist[i] < INF) continue; int c = comp[i]; queue bfs; bfs.push(i); dist[i] = 0; while (bfs.size()) { int v = bfs.front(); bfs.pop(); for (auto u : G[v]) { if (comp[u] == c) { if (!dist[u] > dist[v] + 1) { bfs.push(u); dist[u] = dist[v] + 1; } else if (dist[u] % 2 == dist[v] % 2) { oddcycle[c] = 1; } } else { G_DAG[c].insert(comp[u]); revG_DAG[comp[u]].insert(c); } } } } vi cnt(L); rep(i, N) cnt[comp[i]]++; // for(auto i:comp)cerr< bfs; vi G_DAG_outdeg(L); rep(i, L) G_DAG_outdeg[i] = sz(G_DAG[i]); per(i, L, 0) { for (auto u : revG_DAG[i]) { G_DAG_outdeg[u] -= 1; if (G_DAG_outdeg[u] == 0 && u != i - 1) ng(); } } cout << "Yes\n"; }