Problem:
Score : 500 points

Problem Statement

There are N points on the 2D plane, i-th of which is located on (x_i, y_i).
There can be multiple points that share the same coordinate.
What is the maximum possible Manhattan distance between two distinct points?

Here, the Manhattan distance between two points (x_i, y_i) and (x_j, y_j) is defined by |x_i-x_j| + |y_i-y_j|.

Constraints

2 \leq N \leq 2 \times 10^5

1 \leq x_i,y_i \leq 10^9

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N
x_1 y_1
x_2 y_2
:
x_N y_N

Output

Print the answer.

Sample Input 1

3
1 1
2 4
3 2

Sample Output 1

4

The Manhattan distance between the first point and the second point is |1-2|+|1-4|=4, which is maximum possible.

Sample Input 2

2
1 1
1 1

Sample Output 2

0

Solution in PyPy3 (7.3.0) (judge verdict: Accepted)

xy = []
xy2 = []

N = int(input())
for i in range(N):
    x, y = map(int, input().split())
    xy.append(x+y)
    xy2.append(x-y)

min_xy = min(xy)
max_xy = max(xy)
min_xy2 = min(xy2)
max_xy2 = max(xy2)

ans = max(max_xy - min_xy, min_xy2 - max_xy2, max_xy2 - min_xy2, min_xy - max_xy)
print(ans)