BZOJ2843——极地旅行社

1、题目大意：动态树问题，点修改，链查询。另外说明双倍经验题=bzoj1180

2、分析：lct模板题，练手的

#include <stack>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
using namespace std;
namespace LinkCutTree{
    struct Node{
        Node *ch[2], *fa;
        int sum, num;
        bool rev;

        inline int which();

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

        inline void pd(){
            if(rev){
                swap(ch[0], ch[1]);
                ch[0] -> reverse();
                ch[1] -> reverse();
                rev = false;
            }
        }

        inline void maintain(){
            sum = num + ch[0] -> sum + ch[1] -> sum;
        }

        Node();
    } *null = new Node, tree[30010], *pos[30010];

    Node::Node(){
        num = sum = 0;
        rev = false;
        ch[0] = ch[1] = fa = null;
    }

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

    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;
        o -> ch[r] -> maintain();
        o -> maintain();
    }

    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 *y = null;
        while(o != null){
            splay(o);
            o -> ch[1] = y;
            o -> maintain();
            y = o; o = o -> fa;
        }
    }

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

    inline Node* FindRoot(Node *o){
        Access(o);
        splay(o);
        while(o -> ch[0] != null) o = o -> ch[0];
        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);
        y -> ch[0] = x -> fa = null;
        y -> maintain();
    }
}
int main(){
    using namespace LinkCutTree;
    int n;
    scanf("%d", &n);
    for(int i = 1; i <= n; i ++){
        int x; scanf("%d", &x);
        pos[i] = &tree[i];
        pos[i] -> sum = pos[i] -> num = x;
    }
    int m;
    scanf("%d", &m);
    char op[20];
    int x, y;
    for(int i = 1; i <= m; i ++){
        scanf("%s%d%d", op, &x, &y);
        if(op[0] == 'b'){
            if(FindRoot(pos[x]) != FindRoot(pos[y])){
                puts("yes");
                Link(pos[x], pos[y]);
            }
            else puts("no");
        }
        else if(op[0] == 'p'){
            Access(pos[x]);
            splay(pos[x]);
            pos[x] -> num = y;
            pos[x] -> maintain();
        }
        else{
            if(FindRoot(pos[x]) != FindRoot(pos[y])) puts("impossible");
            else{
                MovetoRoot(pos[x]);
                Access(pos[y]);
                splay(pos[y]);
                printf("%d\n", pos[y] -> sum);
            }
        }
    }
    return 0;
}