#include<bits/stdc++.h>
using namespace std;
 
int main(){
    int n;
    long long zmi=2e9,zma=-2e9,wmi=2e9,wma=-2e9;
    cin>>n;
    while(n--){
	    long long x,y;
	    cin>>x>>y;
	    zmi=min(zmi,x+y);
	    zma=max(zma,x+y);
	    wmi=min(wmi,x-y);
	    wma=max(wma,x-y);
    }
    cout<<max(zma-zmi,wma-wmi)<<"\n";
}
 
### Prompt

Please formulate a Cpp solution to the following problem:

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.

Examples

Input

3
1 1
2 4
3 2


Output

4


Input

2
1 1
1 1


Output

0

### Response

```cpp
#include<bits/stdc++.h>
using namespace std;
 
int main(){
    int n;
    long long zmi=2e9,zma=-2e9,wmi=2e9,wma=-2e9;
    cin>>n;
    while(n--){
	    long long x,y;
	    cin>>x>>y;
	    zmi=min(zmi,x+y);
	    zma=max(zma,x+y);
	    wmi=min(wmi,x-y);
	    wma=max(wma,x-y);
    }
    cout<<max(zma-zmi,wma-wmi)<<"\n";
}
 
```