Problem: Bob has a permutation of integers from 1 to n. Denote this permutation as p. The i-th element of p will be denoted as pi. For all pairs of distinct integers i, j between 1 and n, he wrote the number ai, j = min(pi, pj). He writes ai, i = 0 for all integer i from 1 to n.

Bob gave you all the values of ai, j that he wrote down. Your job is to reconstruct any permutation that could have generated these values. The input will be formed so that it is guaranteed that there is at least one solution that is consistent with the information given.

Input

The first line of the input will contain a single integer n (2 ≤ n ≤ 50).

The next n lines will contain the values of ai, j. The j-th number on the i-th line will represent ai, j. The i-th number on the i-th line will be 0. It's guaranteed that ai, j = aj, i and there is at least one solution consistent with the information given.

Output

Print n space separated integers, which represents a permutation that could have generated these values. If there are multiple possible solutions, print any of them.

Examples

Input

2
0 1
1 0


Output

2 1


Input

5
0 2 2 1 2
2 0 4 1 3
2 4 0 1 3
1 1 1 0 1
2 3 3 1 0


Output

2 5 4 1 3

Note

In the first case, the answer can be {1, 2} or {2, 1}.

In the second case, another possible answer is {2, 4, 5, 1, 3}.

Solution (in JAVA):

Solution:
/*
 * Code Author: Sanket Udgirkar.
 * DA-IICT
 */
import java.util.*;
import java.io.*;
public class Tester
{
	public static long mod=(long)1e9+7;
	
	public static void main(String[] args) 
	{
		InputReader s=new InputReader(System.in);
        OutputStream outputStream = System.out;
        //PrintWriter out=new PrintWriter(outputStream);
        
        int n=s.nextInt();
        
        int a[][] = new int[n][n];
        boolean check[] = new boolean[n];
        int ans[] = new int[n];
        
        for(int i=0;i<n; i++)
        {
        	for(int j=0; j<n; j++)
        	{
        		a[i][j]=s.nextInt();
        	}
        }
        
        for(int i=0; i<n; i++)
        {
        	int max=Integer.MIN_VALUE;
        	for(int j=0; j<n; j++)
        	{
        		if(a[i][j]>max)
        			max=a[i][j];
        	}
        	if(check[max]==true)
        		ans[i]=max+1;
        	else
        		ans[i]=max;
        	
        	check[max]=true;
        }
        
        for(int i=0; i<n; i++)
        	System.out.print(ans[i]+" ");
        
        //out.close();
	}   
	
	static long gcd(long a,long b)
	{
		if(b==0)
			return a;
		a%=b;
		return gcd(b,a);
	}
	
	static long exp(long a, long b)
	{
		if(b==0)
			return 1;
		if(b==1)
			return a;
		if(b==2)
			return a*a;
		
		if(b%2==0)
			return exp(exp(a,b/2),2);
		else
			return a*exp(exp(a,(b-1)/2),2);
	}
	
	static class Pair implements Comparable<Pair>
	{
		long x,f;
		Pair(long ii, long cc)
		{
			x=ii;
			f=cc;
		}
		
		public int compareTo(Pair o) 
		{
			return Long.compare(this.x, o.x);
		}
		
	}

    public static class InputReader 
    {
    	public BufferedReader reader;
    	public StringTokenizer tokenizer;
     
    	public InputReader(InputStream inputstream) 
    	{
    	      reader = new BufferedReader(new InputStreamReader(inputstream));
    	      tokenizer = null;
    	}
    	    
    	public String nextLine()
    	{
    	    String fullLine=null;
    	    while (tokenizer == null || !tokenizer.hasMoreTokens()) 
    	    {
    	        try {
    	              fullLine=reader.readLine();
    	            } 
    	        catch (IOException e) 
    	        {
    	              throw new RuntimeException(e);
    	        }
    	        return fullLine;
    	     }
    	     return fullLine;
    	}
    		public String next() 
    		{
    	      while (tokenizer == null || !tokenizer.hasMoreTokens()) {
    	        try {
    	          tokenizer = new StringTokenizer(reader.readLine());
    	        } catch (IOException e) {
    	          throw new RuntimeException(e);
    	        }
    	      }
    	      return tokenizer.nextToken();
    	    }
    		public long nextLong() {
    		      return Long.parseLong(next());
    		    }
    	    public int nextInt() {
    	      return Integer.parseInt(next());
    	    }
    	  }
 
}