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 C (GCC 9.2.1) (judge verdict: Time Limit Exceeded)

#include<stdio.h>
#include<math.h>

int main(void){
  int n,max;
  int x[200000],y[200000];
  scanf("%d", &n);
  for(int i = 0;i < n;i++){
    scanf("%d %d", &x[i], &y[i]);
  }
  max = 0;
  for(int i = 0;i < n;i++){
    for(int j = i + 1; j < n;j++){
      if(max <= abs(x[i] - x[j]) + abs(y[i] -y[j]))
        max = abs(x[i] - x[j]) + abs(y[i] -y[j]);
    }
  }
  printf("%d", max);
  
  return 0;
}