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  • 【模板】可持久化平衡树

    如题,这是一个模板。。。

    #include <algorithm>
    #include <iostream>
    #include <cstring>
    #include <cstdio>
    #include <cctype>
    
    inline void read(int & x)
    {
        int k = 1; x = 0;
        char c = getchar();
        while (!isdigit(c))
            if (c == '-') c = getchar(), k = -1;
            else c = getchar();
        while (isdigit(c))
            x = (x << 1) + (x << 3) + (c ^ 48),
            c = getchar();
        x *= k; 
    }
    
    const int MAXN = 3e7 + 999;
    int seed(1024), m, tot(0), opt, st, ed, las, x, y;
    int siz[MAXN], val[MAXN], rnd[MAXN], son[MAXN][2], root[MAXN];
    
    inline int Rand(void)
    {
        return seed = (int)seed * 482711LL % 2147483647;
    }
    
    inline void Pushup(int u)
    {
        if (u) siz[u] = siz[son[u][1]] + siz[son[u][0]] + 1; 
    }
    
    inline int Copy(int u)
    {
        ++tot;
        val[tot] = val[u];
        siz[tot] = siz[u];
        rnd[tot] = rnd[u];
        son[tot][0] = son[u][0];
        son[tot][1] = son[u][1];
        return tot;
    }
    
    inline int New(int x)
    {
        ++tot;
        val[tot] = x;
        siz[tot] = 1;
        rnd[tot] = Rand();
        son[tot][1] = son[tot][0] = 0;
        return tot;
    }
    
    inline void Split(int u, int x, int &a, int &b)
    {
        if (!u) { a = b = 0; return; }
        if (val[u] <= x) a = Copy(u), Split(son[a][1], x, son[a][1], b);
        else b = Copy(u), Split(son[b][0], x, a, son[b][0]);     
        Pushup(a); Pushup(b);    
    }
    
    inline void Merge(int &u, int a, int b)
    {
        if (!a || !b) { u = a | b; return; }
        if (rnd[a] < rnd[b]) u = Copy(a), Merge(son[u][1], son[u][1], b);
        else u = Copy(b), Merge(son[u][0], a, son[u][0]);  
        Pushup(u);
    }
    
    inline int Findkth(int u, int k)
    {
        while (siz[son[u][0]] + 1 != k && u)
            if (siz[son[u][0]] >= k) u = son[u][0];
            else k -= siz[son[u][0]] + 1, u = son[u][1];
        return u;
    }
    
    inline void Insert(int u, int x) 
    {
        int a(0), b(0), c(0);
        Split(root[u], x, a, b);
        c = New(x);
        Merge(a, a, c);
        Merge(root[u], a, b);
    }
    
    inline void Delete(int u, int x)
    {
        int a(0), b(0), c(0);
        Split(root[u], x, a, b);
        Split(a, x - 1, a, c);
        Merge(c, son[c][0], son[c][1]);
        Merge(a, a, c);
        Merge(root[u], a, b);
    }
    
    inline void Getrank(int u, int x)
    {
        int a(0), b(0), c(0);
        Split(root[u], x - 1, a, b);
        printf("%d
    ", siz[a] + 1);
        Merge(root[u], a, b); 
    }
    
    inline void Getkth(int u, int k)
    {
        printf("%d
    ", val[Findkth(root[u], k)]);
    }
    
    inline void Pre(int u, int x)
    {
        int a(0), b(0), c(0);
        Split(root[u], x - 1, a, b);
        if (!a) puts("-2147483647");
        else printf("%d
    ", val[Findkth(a, siz[a])]);
        Merge(root[u], a, b);
    }
    
    inline void Suf(int u, int x)
    {
        int a(0), b(0), c(0);
        Split(root[u], x, a, b);
        if (!b) puts("2147483647");
        else printf("%d
    ", val[Findkth(b, 1)]);
        Merge(root[u], a, b);
    }
    
    signed main()
    {
        read(m); 
        for (int i = 1; i <= m; ++i)
        {
            read(las), read(opt), read(x);
            root[i] = root[las];
            if (opt == 1) Insert(i, x);
            if (opt == 2) Delete(i, x);
            if (opt == 3) Getrank(i, x);
            if (opt == 4) Getkth(i, x);
            if (opt == 5) Pre(i, x);
            if (opt == 6) Suf(i, x);
        }
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/yanyiming10243247/p/10057799.html
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