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2049. [SDOI2008]Cave 洞穴勘测

https://hydro.ac/d/bzoj/record/63b2479c246ae133e6cb8da4
This commit is contained in:
Baoshuo Ren 2023-01-02 10:55:30 +08:00
parent 9a3be113d0
commit bbb3cb135a
Signed by: baoshuo
GPG Key ID: 00CB9680AB29F51A
21 changed files with 225 additions and 0 deletions

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#include <iostream>
#include <stack>
#include <string>
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<size_t> 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;
}

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