int Quadtree::idealPrune (int numLeaves) const
{
    if (root==NULL || numLeaves>(root->res*root->res))
      return 0;
    else
        return idealsambar(numLeaves, 876858, 0);
}

int Quadtree::idealsambar(int leaves,int max, int min)const
{
    int appa=(max+min)/2;
    if (pruneSize(appa)>numLeaves)
      return idealsambar(leaves, max,appa+1);
    if (min>=max)
    return min;
    else
      return idealsambar(leaves, appa, min);
}