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: Accepted)

#include<bits/stdc++.h>
using namespace std;
#define rep(i,n) for(int i=0;i<(n);++i)
#define FOR(i,n,j) for(int i=(j);i<(n);++i)
#define ssort(n) sort((n).begin(),(n).end())
#define rsort(n) sort((n).begin(),(n).end(),greater<int>())
#define mp make_pair
using ll=long long;
using ld=long double;
typedef pair<int,int> P;
typedef pair<P,int> COST;
#define repl(i,n) for(ll i=0;i<(n);++i)
#define Yes cout << "Yes" << endl
#define No cout << "No" << endl
#define YES cout << "YES" << endl
#define NO cout << "NO" << endl
using Graf=vector<vector<int>>;
#define MAX 1000000007

int main()
{
    int n;
    cin >> n;
    vector<ll> x(n),y(n);

    rep(i,n){
        cin >> x[i] >> y[i];
    }
    vector<ll> tmp(n);
    vector<ll> tmp_2(n);
    rep(i,n){
        tmp[i]=x[i]+y[i];
        tmp_2[i]=x[i]-y[i];
    }
    ssort(tmp);ssort(tmp_2);
    ll ans=max(abs(tmp[0]-tmp[n-1]),abs(tmp_2[0]-tmp_2[n-1]));
    cout << ans << endl;
}