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: Time Limit Exceeded)

N = int(input())
x = [0] * N
y = [0] * N

for i in range(N):
    coordinates = input().split(' ')
    x[i] = int(coordinates[0])
    y[i] = int(coordinates[1])

# print(x, y)

distance_max = 0
for i in range(N):
    for j in range(i + 1, N):
        distance = abs(x[j] - x[i]) + abs(y[j] - y[i])
        distance_max = max(distance_max, distance)

print(distance_max)