• 个人整理的数组splay板子,指针的写的太丑了就不放了。。


    splay的板子。。

    由于被LCT榨干了。。所以昨天去学了数组版的splay,现在整理一下板子。。
    以BZOJ3224和3223为例题。。暂时只有这些,序列的话等有时间把维修序列给弄上来!!

    BZOJ 3224 平衡树的操作

    #include <bits/stdc++.h>
    #define INF 0x3f3f3f3f
    #define full(a, b) memset(a, b, sizeof a)
    using namespace std;
    typedef long long ll;
    inline int lowbit(int x){ return x & (-x); }
    inline int read(){
        int X = 0, w = 0; char ch = 0;
        while(!isdigit(ch)) { w |= ch == '-'; ch = getchar(); }
        while(isdigit(ch)) X = (X << 3) + (X << 1) + (ch ^ 48), ch = getchar();
        return w ? -X : X;
    }
    inline int gcd(int a, int b){ return a % b ? gcd(b, a % b) : b; }
    inline int lcm(int a, int b){ return a / gcd(a, b) * b; }
    template<typename T>
    inline T max(T x, T y, T z){ return max(max(x, y), z); }
    template<typename T>
    inline T min(T x, T y, T z){ return min(min(x, y), z); }
    template<typename A, typename B, typename C>
    inline A fpow(A x, B p, C lyd){
        A ans = 1;
        for(; p; p >>= 1, x = 1LL * x * x % lyd)if(p & 1)ans = 1LL * x * ans % lyd;
        return ans;
    }
    
    const int N = 300005;
    int ch[N][2], val[N], size[N], num[N], fa[N], root, tot;
    
    int newNode(int p, int v){
        val[++tot] = v, fa[tot] = p;
        size[tot] = num[tot] = 1, ch[tot][0] = ch[tot][1] = 0;
        return tot;
    }
    
    void push_up(int x){
        size[x] = size[ch[x][0]] + size[ch[x][1]] + num[x];
    }
    
    void rotate(int x){
        int y = fa[x], z = fa[y], p = (ch[y][1] == x) ^ 1;
        ch[y][p^1] = ch[x][p], fa[ch[x][p]] = y;
        fa[x] = z, ch[z][ch[z][1] == y] = x, fa[y] = x, ch[x][p] = y;
        push_up(y), push_up(x);
    }
    
    void splay(int x, int goal){
        if(x == goal) return;
        while(fa[x] != goal){
            int y = fa[x], z = fa[y];
            if(z != goal){
                if((ch[y][0] == x) ^ (ch[z][0] == y)) rotate(x);
                else rotate(y);
            }
            rotate(x);
        }
        push_up(x);
        if(goal == 0) root = x;
    }
    
    void insert(int x){
        if(!root){
            root = newNode(0, x);
            return;
        }
        int cur = root;
        while(ch[cur][x > val[cur]]){
            if(val[cur] == x) break;
            cur = ch[cur][x > val[cur]];
        }
        if(val[cur] == x) size[cur] ++, num[cur] ++, splay(cur, 0);
        else ch[cur][x > val[cur]] = newNode(cur, x), splay(ch[cur][x > val[cur]], 0);
    }
    
    void find(int x){
        if(!root) return;
        int cur = root;
        while(val[cur] != x && ch[cur][x > val[cur]])
            cur = ch[cur][x > val[cur]];
        splay(cur, 0);
    }
    
    int precursor(int x){
        find(x);
        if(val[root] < x) return root;
        int cur = ch[root][0];
        while(ch[cur][1]) cur = ch[cur][1];
        return cur;
    }
    
    int successor(int x){
        find(x);
        if(val[root] > x) return root;
        int cur = ch[root][1];
        while(ch[cur][0]) cur = ch[cur][0];
        return cur;
    }
    
    void del(int x){
        int pre = precursor(x), suc = successor(x);
        splay(pre, 0), splay(suc, root);
        int key = ch[suc][0];
        if(num[key] > 1) num[key] --, size[key] --, splay(key, 0);
        else ch[suc][0] = 0;
        push_up(suc), push_up(root);
    }
    
    int ranks(int x){
        find(x);
        return size[ch[root][0]] + 1;
    }
    
    int select(int k){
        int cur = root, m = size[ch[cur][0]];
        while(1){
            if(k > m + num[cur]){
                k -= m + num[cur];
                cur = ch[cur][1];
            }
            else{
                //cout << m << endl;
                if(m >= k) cur = ch[cur][0];
                else return val[cur];
            }
            m = size[ch[cur][0]];
        }
    }
    
    void inOrder(int x){
        if(!x) return;
        inOrder(ch[x][0]);
        cout << val[x] << " ";
        inOrder(ch[x][1]);
    }
    
    int main(){
    
        int n = read();
        insert(-INF), insert(INF);
        for(int i = 0; i < n; i ++){
            int opt = read(), x = read();
            if(opt == 1) insert(x);
            else if(opt == 2) del(x);
            else if(opt == 3) printf("%d
    ", ranks(x) - 1);
            else if(opt == 4) printf("%d
    ", select(x + 1));
            else if(opt == 5) printf("%d
    ", val[precursor(x)]);
            else if(opt == 6) printf("%d
    ", val[successor(x)]);
            //inOrder(root);puts("");
        }
        return 0;
    }
    

    BZOJ 3223 文艺平衡树,虽然只有一个反转。。

    #include <bits/stdc++.h>
    #define INF 0x3f3f3f3f
    #define full(a, b) memset(a, b, sizeof a)
    using namespace std;
    typedef long long ll;
    inline int lowbit(int x){ return x & (-x); }
    inline int read(){
        int X = 0, w = 0; char ch = 0;
        while(!isdigit(ch)) { w |= ch == '-'; ch = getchar(); }
        while(isdigit(ch)) X = (X << 3) + (X << 1) + (ch ^ 48), ch = getchar();
        return w ? -X : X;
    }
    inline int gcd(int a, int b){ return a % b ? gcd(b, a % b) : b; }
    inline int lcm(int a, int b){ return a / gcd(a, b) * b; }
    template<typename T>
    inline T max(T x, T y, T z){ return max(max(x, y), z); }
    template<typename T>
    inline T min(T x, T y, T z){ return min(min(x, y), z); }
    template<typename A, typename B, typename C>
    inline A fpow(A x, B p, C lyd){
        A ans = 1;
        for(; p; p >>= 1, x = 1LL * x * x % lyd)if(p & 1)ans = 1LL * x * ans % lyd;
        return ans;
    }
     
    const int N = 100005;
    int ch[N][2], val[N], fa[N], size[N], rev[N], tot, root;
     
    int newNode(int p, int v){
        val[++tot] = v, fa[tot] = p, size[tot] = 1;
        ch[tot][0] = ch[tot][1] = rev[tot] = 0;
        return tot;
    }
     
    void reverse(int x){
        rev[x] ^= 1;
        swap(ch[x][0], ch[x][1]);
    }
     
    void push_up(int x){
        if(!x) return;
        size[x] = size[ch[x][0]] + size[ch[x][1]] + 1;
    }
     
    void push_down(int x){
        if(rev[x]){
            reverse(ch[x][0]), reverse(ch[x][1]);
            rev[x] ^= 1;
        }
    }
     
    int buildTree(int p, int l, int r){
        if(l > r) return 0;
        int mid = (l + r) >> 1;
        int cur = newNode(p, mid);
        ch[cur][0] = buildTree(cur, l, mid - 1);
        ch[cur][1] = buildTree(cur, mid + 1, r);
        push_up(cur);
        return cur;
    }
     
    void rotate(int x){
        int y = fa[x], z = fa[y], p = (ch[y][1] == x) ^ 1;
        push_down(y), push_down(x);
        ch[y][p^1] = ch[x][p], fa[ch[x][p]] = y;
        fa[x] = z, ch[z][ch[z][1] == y] = x, fa[y] = x, ch[x][p] = y;
        push_up(y), push_up(x);
    }
     
    void splay(int x, int goal){
        if(x == goal) return;
        while(fa[x] != goal){
            int y = fa[x], z = fa[y];
            if(z != goal){
                if((ch[y][0] == x) ^ (ch[z][0] == y)) rotate(x);
                rotate(y);
            }
            rotate(x);
        }
        push_up(x);
        if(goal == 0) root = x;
    }
     
    int find(int k){
        if(!root) return 0;
        int cur = root, m = size[ch[cur][0]];
        while(1){
            push_down(cur);
            if(m < k){
                k -= m + 1;
                cur = ch[cur][1];
            }
            else{
                if(m >= k + 1) cur = ch[cur][0];
                else return cur;
            }
            m = size[ch[cur][0]];
        }
    }
     
    void re(int l, int r){
        int x = find(l - 1), y = find(r + 1);
        splay(x, 0), splay(y, root);
        reverse(ch[ch[root][1]][0]);
    }
     
    void inOrder(int x){
        if(!x) return;
        push_down(x);
        inOrder(ch[x][0]);
        if(val[x]) printf("%d ", val[x]);
        inOrder(ch[x][1]);
    }
     
    int main(){
     
        int n = read(), m = read();
        root = newNode(0, 0), ch[root][1] = newNode(root, 0);
        ch[ch[root][1]][0] = buildTree(ch[root][1], 1, n);
        while(m --){
            int l = read(), r = read();
            re(l, r);
        }
        inOrder(root);
        return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/onionQAQ/p/10696263.html
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