【动态树】[BZOJ2049] Cave 洞穴勘测
就是个动态树的模版,判断两个是否有路就是先
access(第一个节点) 然后 Splay(第一个节点)
然后最左边的节点就是根
然后同理第二个 判断两个的根是否相同就行了
#include <bits/stdc++.h>
using namespace std;
const int MAXN = 10000;
int ch[MAXN+10][2], Fa[MAXN+10];
int que[MAXN+10];
bool rev[MAXN+10];
bool isroot(int u){return ch[Fa[u]][0] != u && ch[Fa[u]][1] != u;}
void Rotate(int u){
int x = Fa[u], y = Fa[x];
bool md = ch[x][1] == u;
Fa[u] = y;
if(!isroot(x)) ch[y][ch[y][1] == x] = u;
ch[x][md] = ch[u][!md]; Fa[ch[u][!md]] = x;
ch[u][!md] = x; Fa[x] = u;
}
void push_down(int u){
if(rev[u]){
rev[u] ^= 1; rev[ch[u][0]] ^= 1; rev[ch[u][1]] ^= 1;
swap(ch[u][0], ch[u][1]);
}
}
void Splay(int u){
int now = u;
que[0] = 1; que[1] = now;
while(!isroot(now)){
que[++que[0]] = Fa[now];
now = Fa[now];
}
for(;que[0];que[0]--) push_down(que[que[0]]);
while(!isroot(u)){
int x = Fa[u], y = Fa[x];
if(!isroot(x)){
if((ch[x][0] == u) ^ (ch[y][0] == x)) Rotate(u);
else Rotate(x);
}
Rotate(u);
}
}
void access(int u){
int up = 0;
while(u != 0){
Splay(u);
ch[u][1] = up;
up = u; u = Fa[u];
}
}
void root(int u){
access(u);
Splay(u);
rev[u] ^= 1;
}
void Link(int x, int y){
root(x);
Fa[x] = y;
Splay(x);
}
void Cut(int x, int y){
root(x);
access(y);
Splay(y);
ch[y][0] = Fa[x] = 0;
}
bool Query(int x, int y){
access(x); Splay(x);
int u = x;
while(ch[u][0]) u = ch[u][0];
access(y); Splay(y);
int u1 = y;
while(ch[u1][0]) u1 = ch[u1][0];
return u == u1;
}
int main(){
int n, m, a, b;
scanf("%d %d", &n, &m);
char ord[20];
for(int i=0;i<m;i++){
scanf("%s", ord);
scanf("%d %d", &a, &b);
if(ord[0] == 'C') Link(a,b);
else if(ord[0] == 'D') Cut(a,b);
else printf("%s", Query(a,b) ? "Yes\n\0":"No\n\0");
}
return 0;
}