#include #include #include using std::cin; using std::cout; const char endl = '\n'; const int N = 1e4 + 5; class LinkCutTree { private: struct node { size_t l, r, f; bool rev; node(const size_t &_f = 0) : l(0), r(0), f(_f), rev(false) {} size_t &child(unsigned x) { return !x ? l : r; } } tr[N]; inline void pushdown(const size_t &u) { if (!tr[u].rev) return; std::swap(tr[u].l, tr[u].r); tr[tr[u].l].rev = !tr[tr[u].l].rev; tr[tr[u].r].rev = !tr[tr[u].r].rev; tr[u].rev = false; } unsigned relation(const size_t &u) { return u == tr[tr[u].f].l ? 0 : 1; } bool isRoot(const size_t &u) { return tr[tr[u].f].l != u && tr[tr[u].f].r != u; } void rotate(size_t u) { size_t p = tr[u].f; unsigned x = relation(u); if (!isRoot(p)) { tr[tr[p].f].child(relation(p)) = u; } tr[u].f = tr[p].f; if (tr[u].child(x ^ 1)) { tr[tr[u].child(x ^ 1)].f = p; } tr[p].child(x) = tr[u].child(x ^ 1); tr[u].child(x ^ 1) = p; tr[p].f = u; } void splay(size_t u) { std::stack st; size_t cur = u; st.push(cur); while (!isRoot(cur)) { st.push(tr[cur].f); cur = tr[cur].f; } while (!st.empty()) { pushdown(st.top()); st.pop(); } while (!isRoot(u)) { if (isRoot(tr[u].f)) { rotate(u); } else if (relation(u) == relation(tr[u].f)) { rotate(tr[u].f); rotate(u); } else { rotate(u); rotate(u); } } } void access(size_t u) { for (size_t f = 0; u; u = tr[f = u].f) { splay(u); tr[u].r = f; } } void makeRoot(const size_t &u) { access(u); splay(u); tr[u].rev = !tr[u].rev; } size_t findRoot(size_t u) { access(u); splay(u); while (tr[u].l) { u = tr[u].l; } return u; } void split(const size_t &x, const size_t &y) { makeRoot(x); access(y); splay(y); } public: bool check(int x, int y) { return findRoot(x) == findRoot(y); } void link(const int &x, const int &y) { makeRoot(x); if (findRoot(y) != x) { tr[x].f = y; } } void cut(int x, int y) { split(x, y); if (tr[y].l == x) { tr[y].l = 0; tr[x].f = 0; } } } lct; int main() { std::ios::sync_with_stdio(false); cin.tie(nullptr); int n, m; cin >> n >> m; while (m--) { std::string op; int u, v; cin >> op >> u >> v; if (op == "Connect") { lct.link(u, v); } else if (op == "Destroy") { lct.cut(u, v); } else { // op == "Query" cout << (lct.check(u, v) ? "Yes" : "No") << endl; } } return 0; }