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++ (Clang 10.0.0) (judge verdict: Wrong Answer)

#include <iostream>
#include <cmath>
#include <algorithm>
#include <vector>
#include <set>
#include <unordered_set>
#include <queue>
#include <deque>
#include <string>
#include <sstream>
#include <iomanip>
#include <map>
#include <unordered_map>
#include <stack>
#include <cstdio>
#include <climits>
#include <tuple>
#include <ctime>
#include <cstring>
#include <numeric>
#include <functional>
#define FOR(i,a,n) for (int i = a; i < n; i++)
#define IFOR(i,n,a) for (int i = n; i >= a; i--)
#define mp make_pair
#define full(a) a.begin(), a.end()
#define sz(x) ((int)(x).size())
#define pii pair<int, int>
#define trav(a,x) for (auto& a : x)
using ull = unsigned long long;
using ll = long long;
using ld = long double;
using namespace std;
const ll mod = 1e9 + 7;
const int N = 2e5 + 5;



void solve()
{
    int n; cin >> n;
    vector<int> sum(n), dif(n);
    FOR(i, 0, n)
    {
        int x, y; cin >> x >> y;
        sum[i] = x + y;
    }
    sort(full(sum));
    cout << sum.back() - sum.front();
}


int main()
{
    ios::sync_with_stdio(false); cin.tie(NULL); //cout.tie(NULL);
    /*int tc; cin >> tc;
    while (tc--)*/
        solve();

    return 0;
}