【データ構造】ツリースピリット

//     splay   
void rotate( int i )
{
    int D = dad[i], G = dad[D], S = son[i][ !typ[i] ];
    son[G][ typ[D] ] = i, dad[S] = D;
    son[D][ typ[i] ] = S, dad[D] = i;
    son[i][ !typ[i] ] = D, dad[i] = G;
    typ[S] = typ[i], typ[i] = typ[D], typ[D] = !typ[S];
    update( D );
}

void splay( int i )
{
    while( typ[i] != 2 )
    {
        if( typ[ dad[i] ] != 2 )
            if( typ[i] == typ[ dad[i] ] ) rotate( dad[i] ); else rotate( i );
        rotate( i );
    }
    update( i );
}