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 JavaScript (Node.js 12.16.1) (judge verdict: Wrong Answer)

function Main(input) {

	input = input.split("\n").filter(Boolean);
    input.shift();
    
    let xy = input.map(val => val.split(" ").map(Number));

    let arr0 = xy.map(val => val[0] + val[1]).sort();
    let arr1 = xy.map(val => val[0] - val[1]).sort();
    
    let arr0_calc = arr0[arr0.length-1] - arr0[0];
    let arr1_calc = arr1[arr1.length-1] - arr1[0];
 
    let ans = Math.max(arr0_calc, arr1_calc);
    
    console.log(ans);
    
}

Main(require("fs").readFileSync("/dev/stdin", "utf8"));