/* -*- coding: utf-8 -*- * * 1983.cc: No.1983 [Cherry 4th Tune C] 南の島のマーメイド - yukicoder */ #include #include #include #include #include using namespace std; /* constant */ const int MAX_N = 200000; /* typedef */ typedef pair pii; typedef vector vi; typedef vector vb; typedef vector vvi; typedef vector vpii; typedef stack si; struct UFT { vector links, ranks, sizes; UFT() {} void init(int n) { links.resize(n); for (int i = 0; i < n; i++) links[i] = i; ranks.assign(n, 1); sizes.assign(n, 1); } int root(int i) { int i0 = i; while (links[i0] != i0) i0 = links[i0]; return (links[i] = i0); } int rank(int i) { return ranks[root(i)]; } int size(int i) { return sizes[root(i)]; } bool same(int i, int j) { return root(i) == root(j); } int merge(int i0, int i1) { int r0 = root(i0), r1 = root(i1), mr; if (r0 == r1) return r0; if (ranks[r0] == ranks[r1]) { links[r1] = r0; sizes[r0] += sizes[r1]; ranks[r0]++; mr = r0; } else if (ranks[r0] > ranks[r1]) { links[r1] = r0; sizes[r0] += sizes[r1]; mr = r0; } else { links[r0] = r1; sizes[r1] += sizes[r0]; mr = r1; } return mr; } }; /* global variables */ vi nbrs[MAX_N]; UFT uft; /* subroutines */ void bcc_visit(const vi *nbrs, int v, int u, vpii& brdg, vvi& tecomp, si& roots, si& S, vb& inS, vi& num, int& time) { num[v] = ++time; S.push(v); inS[v] = true; roots.push(v); const vi& nbrv = nbrs[v]; for (vi::const_iterator vit = nbrv.begin(); vit != nbrv.end(); vit++) { const int& w = *vit; if (num[w] == 0) bcc_visit(nbrs, w, v, brdg, tecomp, roots, S, inS, num, time); else if (u != w && inS[w]) while (num[roots.top()] > num[w]) roots.pop(); } if (v == roots.top()) { brdg.push_back(pii(u, v)); tecomp.push_back(vi()); for (;;) { int w = S.top(); S.pop(); inS[w] = false; tecomp.back().push_back(w); if (v == w) break; } roots.pop(); } } void calc_bcc(const int n, const vi *nbrs, vpii& brdg, vvi& tecomp) { vi num(n); vb inS(n); si roots, S; int time = 0; for (int u = 0; u < n; u++) if (num[u] == 0) { bcc_visit(nbrs, u, n, brdg, tecomp, roots, S, inS, num, time); brdg.pop_back(); } } bool visited[MAX_N]; int depth[MAX_N], low[MAX_N], parents[MAX_N]; int aps[MAX_N], apn; void getArticulationPoints(int i, int d) { visited[i] = true; depth[i] = low[i] = d; int childCount = 0; bool isArticulation = false; vi &nbri = nbrs[i]; for (vi::iterator vit = nbri.begin(); vit != nbri.end(); vit++) { int &j = *vit; if (! visited[j]) { parents[j] = i; getArticulationPoints(j, d + 1); childCount++; if (low[j] >= depth[i]) isArticulation = true; low[i] = min(low[i], low[j]); } else if (j != parents[i]) low[i] = min(low[i], depth[j]); } if ((parents[i] >= 0 && isArticulation) || (parents[i] < 0 && childCount > 1)) aps[i] = true, apn++; } /* main */ int main() { int n, m, qn; scanf("%d%d%d", &n, &m, &qn); for (int i = 0; i < m; i++) { int a, b; scanf("%d%d", &a, &b); a--, b--; nbrs[a].push_back(b); nbrs[b].push_back(a); } vpii brdgs; vvi tcmp; calc_bcc(n, nbrs, brdgs, tcmp); uft.init(n); for (auto e: brdgs) uft.merge(e.first, e.second); while (qn--) { int x, y; scanf("%d%d", &x, &y); x--, y--; if (uft.same(x, y)) puts("Yes"); else puts("No"); } return 0; }