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 Python (3.8.2) (judge verdict: Wrong Answer)

N = int(input())
i = 0
a_max = 2
a_min = 2*(10**9)
s_max = 0
s_min = 10**9-1

for i in range(N):
    x,y=map(int,input().split())
    add = x+y
    sub = x-y

    if add > a_max:
        a_max = add
    if add < a_min:
        a_min = add
    
    if sub > s_max:
        s_max = sub
    if sub < s_min:
        s_min = sub

d_add = a_max - a_min
d_sub = s_max - s_min

#if d_add >= d_sub:
#    print(d_add)
#if d_add < d_sub:
#    print(d_sub)
print(max(d_add,d_sub))