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
import java.util.*;
import java.io.*;

class Main {

    Scanner in;
    InputStream is;
    PrintWriter out;
    String INPUT = "";
//----------------------------------------------------------------------------------------------------//
   int INF = Integer.MAX_VALUE;
    int m = (int) (1e9) + 7;
    long power(long x, long y) { //log(y)
        if (y == 0) {
            return 1;
        }
        long p = power(x, y / 2) % m;
        p = (p * p) % m;
        return ((y % 2 == 0) ? p : (x * p) % m);
    }
    void solve() {
        int t = 1;
        //t = ni();
        while (t-- > 0) {
            int n=ni();
            int a[][]=new int[n][2];
            long sum[]=new long[n];
            long dif[]=new long[n];
            for (int i = 0; i < n; i++) {
                int x=ni();
                int y=ni();
                a[i]=new int[]{x,y};
                sum[i]=x+y;
                dif[i]=x-y;
            }
            Arrays.sort(sum);
            Arrays.sort(dif);
            long s=Math.abs(sum[n-1]-sum[0]);
            long d=Math.abs(dif[n-1]-dif[0]);
            out.println(Math.max(s,d));
        }
    }
    
//----------------------------------------------------------------------------------------------------//

    void run() throws Exception {
        //File fileIN = new File("C:\\Users\\Sarthak\\Desktop\\input.txt");is = new FileInputStream(fileIN);
        //File fileOUT = new File("C:\\Users\\Sarthak\\Desktop\\output.txt");out = new PrintWriter(fileOUT);;
        is = System.in;
        out = new PrintWriter(System.out);

        //long s = System.currentTimeMillis();
        solve();
        out.flush();
        //tr(System.currentTimeMillis() - s + "ms");
    }

    public static void main(String[] args) throws Exception {
        new Main().run();
    }

    private byte[] inbuf = new byte[1024];
    public int lenbuf = 0, ptrbuf = 0;

    private int readByte() {
        if (lenbuf == -1) {
            throw new InputMismatchException();
        }
        if (ptrbuf >= lenbuf) {
            ptrbuf = 0;
            try {
                lenbuf = is.read(inbuf);
            } catch (IOException e) {
                throw new InputMismatchException();
            }
            if (lenbuf <= 0) {
                return -1;
            }
        }
        return inbuf[ptrbuf++];
    }

    private boolean isSpaceChar(int c) {
        return !(c >= 33 && c <= 126);
    }

    private int skip() {
        int b;
        while ((b = readByte()) != -1 && isSpaceChar(b));
        return b;
    }

    private double nd() {
        return Double.parseDouble(ns());
    }

    private char nc() {
        return (char) skip();
    }

    private String ns() {
        int b = skip();
        StringBuilder sb = new StringBuilder();
        while (!(isSpaceChar(b))) {  // when nextLine(take whole line as input wid space), (!isSpaceChar(b) || b == ' ') 
            //if(b!=' ') to remove spaces in Str when taking spaces in Str
            sb.appendCodePoint(b);
            b = readByte();
        }
        return sb.toString();
    }

    private char[] ns(int n) {
        char[] buf = new char[n];
        int b = skip(), p = 0;
        while (p < n && !(isSpaceChar(b))) {
            buf[p++] = (char) b;
            b = readByte();
        }
        return n == p ? buf : Arrays.copyOf(buf, p);
    }

    private char[][] nm(int n, int m) {
        char[][] map = new char[n][];
        for (int i = 0; i < n; i++) {
            map[i] = ns(m);
        }
        return map;
    }

    private int[] na(int n) {
        int[] a = new int[n];
        for (int i = 0; i < n; i++) {
            a[i] = ni();
        }
        return a;
    }

    private int ni() {
        int num = 0, b;
        boolean minus = false;
        while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));
        if (b == '-') {
            minus = true;
            b = readByte();
        }

        while (true) {
            if (b >= '0' && b <= '9') {
                num = num * 10 + (b - '0');
            } else {
                return minus ? -num : num;
            }
            b = readByte();
        }
    }

    private long nl() {
        long num = 0;
        int b;
        boolean minus = false;
        while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));
        if (b == '-') {
            minus = true;
            b = readByte();
        }

        while (true) {
            if (b >= '0' && b <= '9') {
                num = num * 10 + (b - '0');
            } else {
                return minus ? -num : num;
            }
            b = readByte();
        }
    }
}
