Balanced tree (template)

Splay

#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <cmath>
using namespace std;
const int MAXN = 2e5 + 3;
int ch[MAXN][2] , val[MAXN] , cnt[MAXN] , siz[MAXN] , fa[MAXN];
int root , ncnt;
int chk( int x ){
    return ch[fa[x]][1] == x;
}
void pushup( int x ){
    siz[x] = siz[ch[x][0]] + siz[ch[x][1]] + cnt[x];
}
void rorate( int x ){
    int f = fa[x] , ff = fa[f] , w = chk( x );
    ch[f][w] = ch[x][w^1];
    fa[ch[x][w^1]] = f;
    ch[ff][chk(f)] = x;
        fa[x] = ff;
    ch[x][w^1] = f;
        fa[f] = x;
    pushup( f );pushup( x );
}
void splay( int x , int goal ){
    while( fa[x] != goal ){
        int f = fa[x] , ff = fa[f];
        if( ff != goal ){
            if( chk( x)  == chk(f ) ) rorate( f );
            else
                rorate( x );
        }
        rorate( x );
    }
    if( !goal ) root = x;
}
void find_( int x ){
    if( !root ) return ;
    int cur = root;
    while( ch[cur][val[cur] < x] && val[cur] != x ){
        cur = ch[cur][val[cur] < x];
    }
    splay( cur , 0 );
}
void insert_( int x ){
    int cur = root , p = 0;
    while( cur && val[cur] != x ){
        p = cur;
        cur = ch[cur][val[cur] < x];
    }
    if( cur ){
        cnt[cur] ++;
    }
    else{
        cur = ++ncnt;
        if( p ) ch[p][x>val[p]] = cur;
        ch[cur][0] = ch[cur][1] = 0;
        val[cur] = x;cnt[cur] = 1;
        siz[cur] = 1;fa[cur] = p;
    }
    splay( cur , 0 );
}
int kth( int k ){
    int cur = root;
    while( true ){
        if( siz[ch[cur][0]] >= k && ch[cur][0] ){
            cur = ch[cur][0];
        }
        else if( siz[ch[cur][0]] + cnt[cur] < k ){
            k -= siz[ch[cur][0]] + cnt[cur];
            cur = ch[cur][1];
        }
        else
            return cur;
    }
}
int pre( 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 succ( 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 delete_( int x ){
    int pree = pre( x ) ,suc = succ( x );
    splay( pree , 0 );
    splay( suc , pree );
    int cur = ch[suc][0];
    if( cnt[cur] > 1 ){
        cnt[cur] --;
        splay( cur , 0 );
    }
    else
        ch[suc][0] = 0;
}
int n;
int main()
{
    scanf( "%d" , &n );
    insert_(0x3f3f3f3f);
    insert_(0xcfcfcfcf);
    while( n -- ){
        int opt , x;
        scanf( "%d%d" , &opt , &x );
        if( opt == 1 )
            insert_( x );
        else if( opt == 2 )
            delete_( x );
        else if( opt == 3 ){
            find_( x );
            printf( "%d\n" , siz[ch[root][0]] );
        }
        else if( opt == 4 ){
            printf( "%d\n" , val[kth( x + 1 )] );
        }
        else if( opt == 5 )
            printf( "%d\n" , val[pre(x)] );
        else if( opt == 6 )
            printf( "%d\n" , val[succ(x)] ) ;
    }
    return 0;
}

Treap

#include <iostream>
#include <cstdio>
#include <cstring>
#include <cmath>
#include <algorithm>
#include <vector>
#include <ctime>
#include <cstdlib>
using namespace std;
const int MAXN = 1e5 + 3;
int n , siz[MAXN] , v[MAXN] , rd[MAXN] , num[MAXN];
int son[MAXN][2] , ncnt , root = 0;
void pushup( int x ){
    siz[x] = siz[son[x][0]] + siz[son[x][1]] + num[x];
}
void rorate( int &x , int d ){
    int k = son[x][d^1];
    son[x][d^1] = son[k][d];
    son[k][d]= x;
    pushup( x );
    pushup( k );
    x = k;
}
void insert_( int &p , int x ){
    if( !p ){
        p = ++ncnt;
        siz[p] = num[p] = 1;
        son[p][0] = son[p][1] = 0;
        v[p] = x;
        rd[p] = rand();
        return ;
    }
    if( v[p] == x ){
        siz[p] ++;
        num[p] ++;
        return ;
    }
    int d = v[p] < x;
    insert_( son[p][d] , x );
    if( rd[p] < rd[son[p][d]] ) rorate( p , d ^ 1 );
    pushup( p );
}
void del( int &p , int x ){
    if( !p ) return ;
    if( v[p] > x )
        del( son[p][0] , x );
    else if( v[p] < x )
        del( son[p][1] , x );
    else{
        if( son[p][0] && !son[p][1] ){
            rorate( p , 1 );
            del( son[p][1] , x );
        }
        else if( son[p][1] && !son[p][0] ){
            rorate( p , 0 );
            del( son[p][0] , x );
        }
        else if( son[p][0] && son[p][1] ){
            if( rd[son[p][0]] > rd[son[p][1]] ){
                rorate( p , 1 );
                del( son[p][1] , x);
            }
            else{
                rorate( p , 0 );
                del( son[p][0] , x );
            }
        }
        else{
            num[p] -- ;siz[p] --;
            if( !num[p] ) p = 0;
        }
    }
    pushup( p );
}
int rank_( int p , int x ){
    if( !p )return 0;
    if( v[p] == x )
        return siz[son[p][0]] + 1;
    if( v[p] > x )
        return rank_( son[p][0] , x );
    else
        return siz[son[p][0]] + num[p] + rank_( son[p][1] , x );
}
int find_( int p , int x ){
    if( !p ) return 0;
    if( siz[son[p][0]] >= x ) return find_( son[p][0] , x );
    if( siz[son[p][0]] + num[p] >= x )
        return v[p];
    return find_( son[p][1] , x - siz[son[p][0]] - num[p] );
}
int pree( int p , int x ){
    if( !p ) return -0x3f3f3f3f;
    if( v[p] >= x )
        return pree( son[p][0] , x );
    return max( v[p] , pree( son[p][1] , x ) );
}
int succ( int p , int x ){
    if( !p ) return 0x3f3f3f3f;
    if( v[p] <= x )
        return succ( son[p][1] , x );
    return min( v[p] , succ( son[p][0] , x ) );
}
int main()
{
    scanf( "%d" , &n );
    while( n -- ){
        int x , y;
        scanf( "%d%d" , &x , &y );
        if( x == 1 )
            insert_( root , y );
        else if( x == 2 )
            del( root , y );
        else if( x ==3 )
            printf( "%d\n" , rank_( root , y ) );
        else if( x == 4 )
            printf( "%d\n" , find_( root , y ) );
        else if( x == 5 )
            printf( "%d\n" , pree( root , y ) );
        else
            printf( "%d\n" , succ( root , y ) );
    }

    return 0;
}