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)

from sys import *
N = int(stdin.readline())
a = []

for i in range(N):
    tmp = list(map(int, stdin.readline().split()))
    a.append(tmp)
x = sorted(a, key = lambda k: k[0])
y = sorted(a,key = lambda k: k[1])
things = [x[0], x[-1], y[0], y[-1]]
best = 0
for i in range(4):
    for j in range(i+1, 4):
        best = max(best, abs(things[i][0]- things[j][0]) + abs(things[i][1]- things[j][1]))
print(best)