You are given $$N$$ points on the infinite $$2-D$$ plane. You need to find $$4$$ such points among these $$N$$ points, such that, they form a square with positive side length and whose sides are parallel to the x and y axis.

If there are multiple choices of $$4$$ such points, choose those which form the square of largest side. If there are still multiple choices of $$4$$ such points, choose those $$4$$ points in which the bottom left point has a lower y co-ordinate. If there are still multiple choices of $$4$$ such points, choose those $$4$$ points in which the bottom left point has a lower x co-ordinate.

Input:

First line contains a single integer $$N$$, denoting the number of points on the $$2-D$$ plane. Each of the next $$N$$ lines contain $$2$$ space separated integers $$X$$ and $$Y$$, these denote the x and y co-ordinates of the point.

Output:

Print $$2$$ space separated integers, the co-ordinates of the bottom left point of the square found. If there are no squares present, print $$-1$$.

Constraints:

$$1 \le N \le 2000$$

$$1 \le X, Y \le 10^9$$