【BZOJ2049】[Sdoi2008]Cave洞穴勘测

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题意:每次在两个点间连边或删边,询问两点是否连通。

(lbn187大神不说完全没意识到是lct啊啊啊啊啊!!!)

连边就是link,删边cut,判断联通就是看是不是在一棵辅助树上(就是两个点所在辅助树的总根是否相同。。find即可)

第一次写lct,完全不会,写一个过程看会模板,没救了。。

(不要问我up干什么吃的,其实我也不知道)

#include <iostream>#include <cstdio>#include <algorithm>#include <queue>#include <cstring>#define N 10009#define M 200009#define ll long long#define gc getchar()using namespace std;int n,m;struct LCT{int son[N][2],father[N];int rev[N];void down(int x){if (!x||!rev[x]) return;rev[son[x][0]]^=1,rev[son[x][1]]^=1;swap(son[x][0],son[x][1]);rev[x]=0;}void pushdown(int x){if (!isroot(x)) pushdown(father[x]);down(x);}void up(int x){return;}int isroot(int x){return son[father[x]][0]!=x&&son[father[x]][1]!=x;}void rotate(int x){int y=father[x],z=father[y],l=(son[y][0]!=x),r=l^1;if (!isroot(y)) son[z][son[z][1]==y]=x;father[x]=z;father[y]=x;father[son[x][r]]=y;son[y][l]=son[x][r];son[x][r]=y;up(y);up(x);}void splay(int x){for (pushdown(x);!isroot(x);rotate(x)){int y=father[x],z=father[y];if (!isroot(y))rotate((x==son[y][0])==(y==son[z][0])?y:x);}}void access(int x){for (int t=0;x;t=x,x=father[x])splay(x),son[x][1]=t,up(x);}int find(int x){access(x);splay(x);while (son[x][0]) x=son[x][0];return x;}void makeroot(int x){access(x);splay(x);rev[x]^=1;}void link(int x,int y){makeroot(x);father[x]=y;}void cut(int x,int y){makeroot(x);access(y);splay(y);son[y][0]=father[x]=0;up(y);}}T;int read(){int x=0,f=1;char c=gc;for (;c<'0'||c>'9';c=gc)if(c=='-') f=-1;for (;c>='0'&&c<='9';c=gc)x=x*10+c-'0';return x*f;}int main(){n=read(),m=read();for (int i=1;i<=m;i++){char ch[10];int x,y;scanf("%s%d%d",ch,&x,&y);if (ch[0]=='C')T.link(x,y);if (ch[0]=='D')T.cut(x,y);if (ch[0]=='Q')printf("%s\n",T.find(x)==T.find(y)?"Yes":"No");}return 0;}

抄袭miaom(miao_zc)的lct模板。。。

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