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2049. [SDOI2008]Cave 洞穴勘测
https://hydro.ac/d/bzoj/record/63b2479c246ae133e6cb8da4
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BZOJ/2049/2049.cpp
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165
BZOJ/2049/2049.cpp
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#include <iostream>
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#include <stack>
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#include <string>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 1e4 + 5;
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class LinkCutTree {
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private:
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struct node {
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size_t l, r, f;
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bool rev;
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node(const size_t &_f = 0)
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: l(0), r(0), f(_f), rev(false) {}
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size_t &child(unsigned x) {
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return !x ? l : r;
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}
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} tr[N];
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inline void pushdown(const size_t &u) {
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if (!tr[u].rev) return;
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std::swap(tr[u].l, tr[u].r);
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tr[tr[u].l].rev = !tr[tr[u].l].rev;
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tr[tr[u].r].rev = !tr[tr[u].r].rev;
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tr[u].rev = false;
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}
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unsigned relation(const size_t &u) {
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return u == tr[tr[u].f].l ? 0 : 1;
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}
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bool isRoot(const size_t &u) {
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return tr[tr[u].f].l != u && tr[tr[u].f].r != u;
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}
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void rotate(size_t u) {
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size_t p = tr[u].f;
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unsigned x = relation(u);
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if (!isRoot(p)) {
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tr[tr[p].f].child(relation(p)) = u;
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}
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tr[u].f = tr[p].f;
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if (tr[u].child(x ^ 1)) {
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tr[tr[u].child(x ^ 1)].f = p;
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}
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tr[p].child(x) = tr[u].child(x ^ 1);
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tr[u].child(x ^ 1) = p;
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tr[p].f = u;
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}
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void splay(size_t u) {
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std::stack<size_t> st;
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size_t cur = u;
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st.push(cur);
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while (!isRoot(cur)) {
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st.push(tr[cur].f);
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cur = tr[cur].f;
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}
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while (!st.empty()) {
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pushdown(st.top());
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st.pop();
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}
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while (!isRoot(u)) {
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if (isRoot(tr[u].f)) {
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rotate(u);
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} else if (relation(u) == relation(tr[u].f)) {
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rotate(tr[u].f);
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rotate(u);
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} else {
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rotate(u);
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rotate(u);
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}
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}
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}
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void access(size_t u) {
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for (size_t f = 0; u; u = tr[f = u].f) {
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splay(u);
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tr[u].r = f;
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}
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}
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void makeRoot(const size_t &u) {
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access(u);
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splay(u);
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tr[u].rev = !tr[u].rev;
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}
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size_t findRoot(size_t u) {
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access(u);
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splay(u);
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while (tr[u].l) {
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u = tr[u].l;
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}
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return u;
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}
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void split(const size_t &x, const size_t &y) {
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makeRoot(x);
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access(y);
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splay(y);
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}
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public:
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bool check(int x, int y) {
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return findRoot(x) == findRoot(y);
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}
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void link(const int &x, const int &y) {
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makeRoot(x);
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if (findRoot(y) != x) {
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tr[x].f = y;
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}
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}
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void cut(int x, int y) {
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split(x, y);
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if (tr[y].l == x) {
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tr[y].l = 0;
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tr[x].f = 0;
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}
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}
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} lct;
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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int n, m;
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cin >> n >> m;
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while (m--) {
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std::string op;
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int u, v;
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cin >> op >> u >> v;
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if (op == "Connect") {
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lct.link(u, v);
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} else if (op == "Destroy") {
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lct.cut(u, v);
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} else { // op == "Query"
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cout << (lct.check(u, v) ? "Yes" : "No") << endl;
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}
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}
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return 0;
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}
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