BZOJ2049——[Sdoi2008]Cave 洞穴勘测

1、题目大意：就是一个动态维护森林联通性的题

2、分析：lct模板题

#include <stack>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
using namespace std;
#define LL long long
#define eps 1e-7
int n, m;
namespace LinkCutTree{
    struct Node{
        Node *ch[2], *fa;
        bool rev;
        Node(){
            ch[0] = ch[1] = NULL;
            fa = NULL;
            rev = false;
        } 

        inline int which(){
            if(fa == NULL || (fa -> ch[0] != this && fa -> ch[1] != this)) return -1;
            return fa -> ch[1] == this;
        }

        inline bool reverse(){
            if(this) rev ^= 1;
        }

        inline void pd(){
            if(rev){
                swap(ch[0], ch[1]);
                if(ch[0] != NULL) ch[0] -> reverse();
                if(ch[1] != NULL) ch[1] -> reverse();
                rev = false;
            }
        }
    } ft[10010], *pos[10010];

    inline void rotate(Node *o){
        Node *p = o -> fa;
        int l = o -> which(), r = l ^ 1;
        o -> fa = p -> fa;
        if(p -> which() != -1) p -> fa -> ch[p -> which()] = o;
        p -> ch[l] = o -> ch[r];
        if(o -> ch[r]) o -> ch[r] -> fa = p;
        o -> ch[r] = p; p -> fa = o;
    } 

    inline void splay(Node* o){
        static stack<Node*> st;
        if(!o) return;
        Node* p = o;
        while(1){
            st.push(p);
            if(p -> which() == -1) break;
            p = p -> fa;
        }
        while(!st.empty()){
            st.top() -> pd(); st.pop();
        }

        while(o -> which() != -1){
            p = o -> fa;
            if(p -> which() != -1){
                if(p -> which() ^ o -> which()) rotate(o);
                else rotate(p);
            }
            rotate(o);
        }
    }

    inline void Access(Node* o){
        Node* p = NULL;
        while(o != NULL){
            splay(o);
            o -> ch[1] = p;
            p = o; o = o -> fa;
        }
    }

    inline void MovetoRoot(Node* o){
        Access(o);
        splay(o);
        o -> reverse();
    }

    inline Node* FindRoot(Node* o){
        while(o -> fa != NULL){
            o = o -> fa;
        }
        return o;
    } 

    inline void Link(Node* x, Node* y){
        MovetoRoot(x);
        x -> fa = y;
    }

    inline void Cut(Node* x, Node* y){
        MovetoRoot(x);
        Access(y);
        splay(y);
        x -> fa = NULL;
        y -> ch[0] = NULL;
    }

    inline void init(){
        for(int i = 1; i <= n; i ++) pos[i] = &ft[i];
    }

    inline void Connect(int u, int v){
        Link(pos[u], pos[v]);
    }

    inline void Destroy(int u, int v){
        Cut(pos[u], pos[v]);
    }

    inline bool Query(int u, int v){
        return FindRoot(pos[u]) == FindRoot(pos[v]);
    }
}

int main(){
    char op[10];
    int u, v;
    scanf("%d%d", &n, &m);
    LinkCutTree::init();
    for(int i = 1; i <= m; i ++){
        scanf("%s", op);
        scanf("%d%d", &u, &v);
        if(op[0] == 'C') LinkCutTree::Connect(u, v);
        else if(op[0] == 'D') LinkCutTree::Destroy(u, v);
        else puts(LinkCutTree::Query(u, v) ? "Yes" : "No");
    }
    return 0;
}