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  • bzoj 1861 treap

    思路:搞搞平衡树。

    #include<bits/stdc++.h>
    #define LL long long
    #define fi first
    #define se second
    #define mk make_pair
    #define PII pair<int, int>
    #define y1 skldjfskldjg
    #define y2 skldfjsklejg
    using namespace std;
    
    const int N = 4e5 + 7;
    const int M = 5e5 + 7;
    const int inf = 0x3f3f3f3f;
    const LL INF = 0x3f3f3f3f3f3f3f3f;
    const int mod = 45989;
    const int B = 1e5;
    
    int val[N], hs[N], n, m;
    char s[10];
    struct node {
        node* ch[2];
        int key, fix, sz, cnt;
        void update() {
            sz = ch[0]->sz + ch[1]->sz + cnt;
        }
    };
    
    typedef node* P_node;
    
    struct Treap {
        node base[N], nil;
        P_node root, null, len;
    
        Treap() {
            root = null = &nil;
            null->key = null->fix = 1e9;
            null->sz = null->cnt = 0;
            null->ch[0] = null->ch[1] = null;
            len = base;
        }
    
        P_node newnode(int tkey) {
            len->key = tkey;
            len->fix = rand();
            len->ch[0] = len->ch[1] = null;
            len->sz = len->cnt = 1;
            return len++;
        }
    
        void rot(P_node &p, int d) {
            P_node k = p->ch[d ^ 1];
            p->ch[d ^ 1] = k->ch[d];
            k->ch[d] = p;
            p->update();
            k->update();
            p = k;
        }
    
        void _Insert(P_node &p, int tkey) {
            if(p == null) {
                p = newnode(tkey);
            } else if(p->key == tkey) {
                p->cnt++;
            } else {
                int d = tkey > p->key;
                _Insert(p->ch[d], tkey);
                if(p->ch[d]->fix > p->fix) {
                    rot(p, d ^ 1);
                }
            }
            p->update();
        }
    
        void _Delete(P_node &p, int tkey) {
            if(p == null) return;
            if(p->key == tkey) {
                if(p->cnt > 1) p->cnt--;
                else if(p->ch[0] == null) p = p->ch[1];
                else if(p->ch[1] == null) p = p->ch[0];
                else {
                    int d = p->ch[0]->fix > p->ch[1]->fix;
                    rot(p, d);
                    _Delete(p->ch[d], tkey);
                }
            } else {
                _Delete(p->ch[tkey > p->key], tkey);
            }
            p->update();
        }
    
        int _Kth(P_node p, int k) {
            if(p == null || k < 1 || k > p->sz) return 0;
            if(k < p->ch[0]->sz + 1) return _Kth(p->ch[0], k);
            if(k > p->ch[0]->sz + p->cnt) return _Kth(p->ch[1], k - p->ch[0]->sz - p->cnt);
            return p->key;
        }
    
        int _Rank(P_node p, int tkey, int res) {
            if(p == null) return -1;
            if(p->key == tkey) return p->ch[0]->sz + res + 1;
            if(tkey < p->key) return _Rank(p->ch[0], tkey, res);
            return _Rank(p->ch[1], tkey, res + p->ch[0]->sz + p->cnt);
        }
    
        int _Pred(P_node p, int tkey){
            if(p == null) return -1e9;
            if(tkey <= p->key) return _Pred(p->ch[0], tkey);
            return max(p->key, _Pred(p->ch[1], tkey));
        }
    
        int _Succ(P_node p, int tkey){
            if(p == null) return 1e9;
            if(tkey >= p->key) return _Succ(p->ch[1], tkey);
            return min(p->key, _Succ(p->ch[0], tkey));
        }
    
    
        void Insert(int tkey){ _Insert(root,tkey); }
        void Delete(int tkey){ _Delete(root,tkey); }
        int Kth(int k){ return _Kth(root,k); }
        int Rank(int tkey){ return _Rank(root,tkey,0); }
        int Pred(int tkey){ return _Pred(root,tkey); }
        int Succ(int tkey){ return _Succ(root,tkey); }
    }tp;
    int main() {
        scanf("%d%d", &n, &m);
        int mx = n + B, mn = 1 + B;
        for(int i = 1; i <= n; i++) {
            int x; scanf("%d", &x);
            val[x] = i + B;
            hs[i + B] = x;
            tp.Insert(i + B);
        }
    
        while(m--) {
            int id, t;
            scanf("%s", s);
            if(s[0] == 'T') {
                scanf("%d", &id);
                tp.Delete(val[id]);
                val[id] = --mn;
                hs[mn] = id;
                tp.Insert(val[id]);
            } else if(s[0] == 'B') {
                scanf("%d", &id);
                tp.Delete(val[id]);
                val[id] = ++mx;
                hs[mx] = id;
                tp.Insert(val[id]);
            } else if(s[0] == 'I') {
                scanf("%d%d", &id, &t);
                if(t == 1) {
                    int z = tp.Succ(val[id]);
                    if(z < -100000000 || z > 100000000) continue;
                    int id2 = hs[z], v = val[id];
                    swap(val[id], val[id2]);
                    swap(hs[v], hs[z]);
                } else if(t == -1) {
                    int z = tp.Pred(val[id]);
                    if(z < -100000000 || z > 100000000) continue;
                    int id2 = hs[z], v = val[id];
                    swap(val[id], val[id2]);
                    swap(hs[v], hs[z]);
                }
            } else if(s[0] == 'A'){
                scanf("%d", &id);
                printf("%d
    ", tp.Rank(val[id]) - 1);
            } else {
                scanf("%d", &id);
                printf("%d
    ", hs[tp.Kth(id)]);
            }
        }
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/CJLHY/p/9600126.html
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