/* -*- coding: utf-8 -*- * * 2780.cc: No.2780 The Bottle Imp - yukicoder */ #include #include #include #include #include #include using namespace std; /* constant */ const int MAX_N = 100000; /* typedef */ typedef vector vi; typedef queue qi; typedef vector vb; typedef vector vvi; typedef stack sti; typedef set si; /* global variables */ vi nbrs[MAX_N]; int gids[MAX_N], pns[MAX_N], vs[MAX_N]; si gnbrs[MAX_N]; /* subroutines */ void scc_visit(const vi *nbrs, int v, vvi& scc, sti& S, vb &inS, vi& low, vi& num, int& time) { low[v] = num[v] = ++time; S.push(v); inS[v] = true; const vi& nbrv = nbrs[v]; for (vi::const_iterator vit = nbrv.begin(); vit != nbrv.end(); vit++) { const int& w = *vit; if (num[w] == 0) { scc_visit(nbrs, w, scc, S, inS, low, num, time); low[v] = min(low[v], low[w]); } else if (inS[w]) low[v] = min(low[v], num[w]); } if (low[v] == num[v]) { scc.push_back(vi()); for (;;) { int w = S.top(); S.pop(); inS[w] = false; scc.back().push_back(w); if (v == w) break; } } } void calc_scc(const int n, const vi *nbrs, vvi& scc) { vi num(n), low(n); sti S; vb inS(n); int time = 0; for (int u = 0; u < n; u++) if (num[u] == 0) scc_visit(nbrs, u, scc, S, inS, low, num, time); } /* main */ int main() { int n; scanf("%d", &n); for (int i = 0; i < n; i++) { int mi; scanf("%d", &mi); for (int j = 0; j < mi; j++) { int aj; scanf("%d", &aj), aj--; nbrs[i].push_back(aj); } } vvi scc; calc_scc(n, nbrs, scc); int gn = scc.size(); for (int i = 0; i < gn; i++) for (auto u: scc[i]) gids[u] = i; if (false) { printf(" gn=%d\n", gn); for (int i = 0; i < gn; i++) { for (auto u: scc[i]) printf(" %d", u); putchar('\n'); } } for (int u = 0; u < n; u++) { int gu = gids[u]; for (auto v: nbrs[u]) { int gv = gids[v]; if (gu != gv) gnbrs[gu].insert(gv); } } for (int u = 0; u < gn; u++) for (auto v: gnbrs[u]) pns[v]++; qi q; for (int u = 0; u < gn; u++) if (pns[u] == 0) q.push(u); int k = 0; while (! q.empty()) { int u = q.front(); q.pop(); vs[k++] = u; for (auto v: gnbrs[u]) if (--pns[v] == 0) q.push(v); } if (k == gn && gids[0] == vs[0]) { for (int i = 0; i + 1 < gn; i++) { int u = vs[i], v = vs[i + 1]; if (gnbrs[u].find(v) == gnbrs[u].end()) { puts("No"); return 0; } } puts("Yes"); } else puts("No"); return 0; }