# bzoj2049: [Sdoi2008]Cave 洞穴勘测 lct裸题

/**************************************************************
Problem: 2049
User: walfy
Language: C++
Result: Accepted
Time:1896 ms
Memory:1508 kb
****************************************************************/

//#pragma GCC optimize("Ofast,no-stack-protector")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
//#pragma GCC optimize("unroll-loops")
#include<bits/stdc++.h>
#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define pi acos(-1.0)
#define ll long long
#define vi vector<int>
#define mod 1000000007
#define ld long double
#define C 0.5772156649
#define ls l,m,rt<<1
#define rs m+1,r,rt<<1|1
#define pil pair<int,ll>
#define pli pair<ll,int>
#define pii pair<int,int>
#define cd complex<double>
#define ull unsigned long long
#define base 1000000000000000000
#define fio ios::sync_with_stdio(false);cin.tie(0)

using namespace std;

const double eps=1e-6;
const int N=10000+1,maxn=5000+10,inf=0x3f3f3f3f,INF=0x3f3f3f3f3f3f3f3f;

struct LCT{
int fa[N],ch[N][2],rev[N],q[N];
bool isroot(int x){return ch[fa[x]][0]!=x&&ch[fa[x]][1]!=x;}
void pushup(int x){}
void pushdown(int x)
{
if(rev[x])
{
rev[x]=0;swap(ch[x][0],ch[x][1]);
rev[ch[x][0]]^=1,rev[ch[x][1]]^=1;
}
}
void Rotate(int x)
{
int y=fa[x],z=fa[y],l,r;
if(ch[y][0]==x)l=0,r=l^1;
else l=1,r=l^1;
if(!isroot(y))
{
if(ch[z][0]==y)ch[z][0]=x;
else ch[z][1]=x;
}
fa[x]=z;fa[y]=x;fa[ch[x][r]]=y;
ch[y][l]=ch[x][r];ch[x][r]=y;
pushup(y);pushup(x);
}
void splay(int x)
{
int top=1;q[top]=x;
for(int i=x;!isroot(i);i=fa[i])q[++top]=fa[i];
for(int i=top;i;i--)pushdown(q[i]);
while(!isroot(x))
{
int y=fa[x],z=fa[y];
if(!isroot(y))
{
if((ch[y][0]==x)^(ch[z][0]==y))Rotate(x);
else Rotate(y);
}
Rotate(x);
}
}
void access(int x){for(int y=0;x;y=x,x=fa[x])splay(x),ch[x][1]=y,pushup(x);}
void makeroot(int x){access(x),splay(x),rev[x]^=1;}
int findroot(int x){access(x),splay(x);while(ch[x][0])x=ch[x][0];return x;}
void split(int x,int y){makeroot(x),access(y),splay(y);}
void cut(int x,int y){split(x,y);if(ch[y][0]==x)ch[y][0]=0,fa[x]=0;}
}lct;
char s[N];
int main()
{
int n,m;
scanf("%d%d",&n,&m);
while(m--)
{
char op[10];
int x,y;
scanf("%s%d%d",op,&x,&y);
if(op[0]=='Q')
{
int fx=lct.findroot(x),fy=lct.findroot(y);
if(fx!=fy)puts("No");
else puts("Yes");
}
else if(op[0]=='C')
{
int fx=lct.findroot(x),fy=lct.findroot(y);
}
else if(op[0]=='D')
{
int fx=lct.findroot(x),fy=lct.findroot(y);
if(fx==fy)lct.cut(x,y);
}
}
return 0;
}
/********************
200 5
Query   123 127
Connect 123 127
Query   123 127
Destroy 127 123
Query   123 127
********************/

posted @ 2018-05-29 23:16  walfy  阅读(88)  评论(0编辑  收藏