Many computer strategy games require building cities, recruiting army, conquering tribes, collecting resources. Sometimes it leads to interesting problems. 

Let's suppose that your task is to build a square city. The world map uses the Cartesian coordinates. The sides of the city should be parallel to coordinate axes. The map contains mines with valuable resources, located at some points with integer coordinates. The sizes of mines are relatively small, i.e. they can be treated as points. The city should be built in such a way that all the mines are inside or on the border of the city square. 

Building a city takes large amount of money depending on the size of the city, so you have to build the city with the minimum area. Given the positions of the mines find the minimum possible area of the city.

Input

The first line of the input contains number n — the number of mines on the map (2 ≤ n ≤ 1000). Each of the next n lines contains a pair of integers xi and yi — the coordinates of the corresponding mine ( - 109 ≤ xi, yi ≤ 109). All points are pairwise distinct.

Output

Print the minimum area of the city that can cover all the mines with valuable resources.

Examples

Input

2
0 0
2 2


Output

4


Input

2
0 0
0 3


Output

9
//pakage joney_000[let_me_start]
 
import java.util.*;
import java.lang.*;
import java.io.*;
import java.math.*;
 /******************** Main Class ***********************/

public class B
{   
    public static InputStream inputStream = System.in;
    public static OutputStream outputStream = System.out;
    public static FastReader in = new FastReader(inputStream);;
    public static PrintWriter out = new PrintWriter(outputStream);;
    /*
    Overhead [Additional Temporary Strorage]
    */
    public static int tempints[] = new int[100005];
    public static long templongs[] = new long[100005];
    public static double tempdoubles[] = new double[100005];
    public static char tempchars[] = new char[100005];
    public static long mod = 1000000000+7;
    
    public static void main(String[] args) throws java.lang.Exception{
        //let_me_start 
         int n = i();// int m = i();
        // int arr[] = is(n);
        // long ans = 0;
         int minx=1000000005,miny=1000000005,maxx=-1000000005,maxy=-1000000005;
         for(int i =1; i<=n ;i++){
          int x = i(); int y =i();
          minx = Math.min(minx,x);
          miny=  Math.min(miny,y);
          maxx = Math.max(maxx,x);
          maxy = Math.max(maxy,y);
         }
        long x= Math.abs(minx-maxx);
        long y= Math.abs(miny-maxy);
        x= Math.max(x,y);
        long ans = x*x;
        //if(x==0)ans=y*y;
        //if(y==0)ans=x*x;
        out.write(""+ans+"\n");
        out.flush();
        }    
         
         


//****************************** Utilities ***********************//

 public static boolean isPrime(long n)throws Exception{
  if(n==1)return false;
  if(n<=3)return true;
  if(n%2==0)return false;
  for(int i=2 ;i <= Math.sqrt(n); i++){
   if(n%i==0)return false;
  }
  return true;
 }
 // sieve
 public static int[] primes(int n)throws Exception{       // for(int i=1;i<=arr.length-1;i++)out.write(""+arr[i]+" ");
  boolean arr[] = new boolean[n+1];
  Arrays.fill(arr,true);
  for(int i=1;i<=Math.sqrt(n);i++){
    if(!arr[i])continue;
    for(int j = 2*i ;j<=n;j+=i){
        arr[i]=false;
    }
  }
  LinkedList<Integer> ll = new LinkedList<Integer>();
  for(int i=1;i<=n;i++){
   if(arr[i])ll.add(i);
  }
  n = ll.size();
  
  int primes[] = new int[n+1];
  for(int i=1;i<=n;i++){
    primes[i]=ll.removeFirst();
  }
  return primes;
 }
 public static long gcd (long a , long b)throws Exception{
  if(b==0)return a;
  return gcd(b , a%b);
 }
 public static long lcm (long a , long b)throws Exception{
  if(a==0||b==0)return 0;
  return (a*b)/gcd(a,b);
 }
 public static long mulmod(long a , long b ,long mod)throws Exception{
   if(a==0||b==0)return 0;
   if(b==1)return a;
   long ans = mulmod(a,b/2,mod);
   ans = (ans*2)% mod;
   if(b%2==1)ans = (a + ans)% mod;
   return ans;
 }
 public static long pow(long a , long b ,long mod)throws Exception{
   if(b==0)return 1;
   if(b==1)return a;
   long ans = pow(a,b/2,mod);
   ans = (ans * ans)% mod;
   if(b%2==1)ans = (a * ans)% mod;
   return ans;
 }
 // 20*20   nCr Pascal Table
 public static long[][] ncrTable()throws Exception{
  long ncr[][] = new long[21][21];
  for(int i=0 ;i<=20 ;i++){ncr[i][0]=1;ncr[i][i]=1;}
  for(int j=0;j<=20 ;j++){
   for(int i=j+1;i<= 20 ;i++){
    ncr[i][j] = ncr[i-1][j]+ncr[i-1][j-1];
   }
  }
  return ncr;
 }
//*******************************I/O******************************//    
public static int i()throws Exception{
 //return Integer.parseInt(br.readLine().trim());
 return in.nextInt();
}
public static int[] is(int n)throws Exception{
  //int arr[] = new int[n+1];
  for(int i=1 ; i <= n ;i++)tempints[i] = in.nextInt();  
 return tempints;
}
public static long l()throws Exception{
 return in.nextLong();
}
public static long[] ls(int n)throws Exception{
  for(int i=1 ; i <= n ;i++)templongs[i] = in.nextLong();  
 return templongs;
}

public static double d()throws Exception{
 return in.nextDouble();
}
public static double[] ds(int n)throws Exception{
  for(int i=1 ; i <= n ;i++)tempdoubles[i] = in.nextDouble();  
 return tempdoubles;
}
public static char c()throws Exception{
 return in.nextCharacter();
}
public static char[] cs(int n)throws Exception{
  for(int i=1 ; i <= n ;i++)tempchars[i] = in.nextCharacter();  
 return tempchars;
}
public static String s()throws Exception{
 return in.nextLine();
}
public static BigInteger bi()throws Exception{
 return in.nextBigInteger();
}
//***********************I/O ENDS ***********************//
//*********************** 0.3%f [precision]***********************//
/* roundoff upto 2 digits 
   double roundOff = Math.round(a * 100.0) / 100.0;
                    or
   System.out.printf("%.2f", val);
                    
*/
/*
  print upto 2 digits after decimal
  val = ((long)(val * 100.0))/100.0;
  
*/
}

class FastReader{

    private boolean finished = false;

    private InputStream stream;
    private byte[] buf = new byte[1024];
    private int curChar;
    private int numChars;
    private SpaceCharFilter filter;

    public FastReader(InputStream stream){
        this.stream = stream;
    }

    public int read(){
        if (numChars == -1){
            throw new InputMismatchException ();
        }
        if (curChar >= numChars){
            curChar = 0;
            try{
                numChars = stream.read (buf);
            } catch (IOException e){
                throw new InputMismatchException ();
            }
            if (numChars <= 0){
                return -1;
            }
        }
        return buf[curChar++];
    }

    public int peek(){
        if (numChars == -1){
            return -1;
        }
        if (curChar >= numChars){
            curChar = 0;
            try{
                numChars = stream.read (buf);
            } catch (IOException e){
                return -1;
            }
            if (numChars <= 0){
                return -1;
            }
        }
        return buf[curChar];
    }

    public int nextInt(){
        int c = read ();
        while (isSpaceChar (c))
            c = read ();
        int sgn = 1;
        if (c == '-'){
            sgn = -1;
            c = read ();
        }
        int res = 0;
        do{
            if(c==','){
                c = read();
            }
            if (c < '0' || c > '9'){
                throw new InputMismatchException ();
            }
            res *= 10;
            res += c - '0';
            c = read ();
        } while (!isSpaceChar (c));
        return res * sgn;
    }

    public long nextLong(){
        int c = read ();
        while (isSpaceChar (c))
            c = read ();
        int sgn = 1;
        if (c == '-'){
            sgn = -1;
            c = read ();
        }
        long res = 0;
        do{
            if (c < '0' || c > '9'){
                throw new InputMismatchException ();
            }
            res *= 10;
            res += c - '0';
            c = read ();
        } while (!isSpaceChar (c));
        return res * sgn;
    }

    public String nextString(){
        int c = read ();
        while (isSpaceChar (c))
            c = read ();
        StringBuilder res = new StringBuilder ();
        do{
            res.appendCodePoint (c);
            c = read ();
        } while (!isSpaceChar (c));
        return res.toString ();
    }

    public boolean isSpaceChar(int c){
        if (filter != null){
            return filter.isSpaceChar (c);
        }
        return isWhitespace (c);
    }

    public static boolean isWhitespace(int c){
        return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
    }

    private String readLine0(){
        StringBuilder buf = new StringBuilder ();
        int c = read ();
        while (c != '\n' && c != -1){
            if (c != '\r'){
                buf.appendCodePoint (c);
            }
            c = read ();
        }
        return buf.toString ();
    }

    public String nextLine(){
        String s = readLine0 ();
        while (s.trim ().length () == 0)
            s = readLine0 ();
        return s;
    }

    public String nextLine(boolean ignoreEmptyLines){
        if (ignoreEmptyLines){
            return nextLine ();
        }else{
            return readLine0 ();
        }
    }

    public BigInteger nextBigInteger(){
        try{
            return new BigInteger (nextString ());
        } catch (NumberFormatException e){
            throw new InputMismatchException ();
        }
    }

    public char nextCharacter(){
        int c = read ();
        while (isSpaceChar (c))
            c = read ();
        return (char) c;
    }

    public double nextDouble(){
        int c = read ();
        while (isSpaceChar (c))
            c = read ();
        int sgn = 1;
        if (c == '-'){
            sgn = -1;
            c = read ();
        }
        double res = 0;
        while (!isSpaceChar (c) && c != '.'){
            if (c == 'e' || c == 'E'){
                return res * Math.pow (10, nextInt ());
            }
            if (c < '0' || c > '9'){
                throw new InputMismatchException ();
            }
            res *= 10;
            res += c - '0';
            c = read ();
        }
        if (c == '.'){
            c = read ();
            double m = 1;
            while (!isSpaceChar (c)){
                if (c == 'e' || c == 'E'){
                    return res * Math.pow (10, nextInt ());
                }
                if (c < '0' || c > '9'){
                    throw new InputMismatchException ();
                }
                m /= 10;
                res += (c - '0') * m;
                c = read ();
            }
        }
        return res * sgn;
    }

    public boolean isExhausted(){
        int value;
        while (isSpaceChar (value = peek ()) && value != -1)
            read ();
        return value == -1;
    }

    public String next(){
        return nextString ();
    }

    public SpaceCharFilter getFilter(){
        return filter;
    }

    public void setFilter(SpaceCharFilter filter){
        this.filter = filter;
    }

    public interface SpaceCharFilter{
        public boolean isSpaceChar(int ch);
    }
}
 /******************** Pair class ***********************/
 
 class Pair implements Comparable<Pair>{
 public int a;
 public int b;
 public Pair(){
  this.a = 0;
  this.b = 0;
 }
 public Pair(int a,int b){
  this.a = a;
  this.b = b;
 }
 public int compareTo(Pair p){
  if(this.a==p.a){
   return this.b-p.b;  
  }
  return this.a-p.a; 
 }
 public String toString(){
  return "a="+this.a+" b="+this.b;
 }
 
} 
