Problem: You are given a correct solution of the sudoku puzzle. If you don't know what is the sudoku, you can read about it [here](http://tiny.cc/636xmz).

The picture showing the correct sudoku solution:

<image>

Blocks are bordered with bold black color.

Your task is to change at most 9 elements of this field (i.e. choose some 1 ≤ i, j ≤ 9 and change the number at the position (i, j) to any other number in range [1; 9]) to make it anti-sudoku. The anti-sudoku is the 9 × 9 field, in which:

  * Any number in this field is in range [1; 9]; 
  * each row contains at least two equal elements; 
  * each column contains at least two equal elements; 
  * each 3 × 3 block (you can read what is the block in the link above) contains at least two equal elements. 



It is guaranteed that the answer exists.

You have to answer t independent test cases.

Input

The first line of the input contains one integer t (1 ≤ t ≤ 10^4) — the number of test cases. Then t test cases follow.

Each test case consists of 9 lines, each line consists of 9 characters from 1 to 9 without any whitespaces — the correct solution of the sudoku puzzle.

Output

For each test case, print the answer — the initial field with at most 9 changed elements so that the obtained field is anti-sudoku. If there are several solutions, you can print any. It is guaranteed that the answer exists.

Example

Input


1
154873296
386592714
729641835
863725149
975314628
412968357
631457982
598236471
247189563


Output


154873396
336592714
729645835
863725145
979314628
412958357
631457992
998236471
247789563

Solution (in JAVA):

Solution:
import java.util.*;
import java.io.*;
     
public class cf 
{    
    public static void main(String[] args) throws IOException { 
        FastReader in = new FastReader();
        
        int t = in.nextInt();
        while(t-- >0) {
            OutputStream out = new BufferedOutputStream ( System.out );
            
            for(int i=0;i<9;i++) {
                String str = in.next();
                for(int j=0;j<9;j++) {
                    char ch = str.charAt(j);
                    if(ch =='1') out.write("2".getBytes());
                    else 
                    out.write((String.valueOf(ch)).getBytes());

                }
                out.write("\n".getBytes());

            }
            out.flush();
        }
    }

    static int gcd(int a, int b){ return (b==0) ? a : gcd(b, a%b); }
    static class FastReader { 
        BufferedReader br; StringTokenizer st; 
        public FastReader() { br = new BufferedReader(new InputStreamReader(System.in)); } 
      
        String next() { while (st == null || !st.hasMoreElements()) { 
            try{ st = new StringTokenizer(br.readLine()); } catch (IOException  e) { e.printStackTrace(); } }
            return st.nextToken(); } 
        int nextInt() { return Integer.parseInt(next()); } 
        long nextLong() { return Long.parseLong(next()); } 
        double nextDouble() { return Double.parseDouble(next()); } 
        char nextChar() { return next().charAt(0); }
        String nextLine() { String str = ""; try { str = br.readLine(); } catch (IOException e) { e.printStackTrace(); } 
        return str; }
     
        int[] nextIntArray(int n) {
            int[] arr = new int[n];
            String[] str = nextLine().split(" ");
            for(int i=0;i<n;i++) 
                arr[i] = Integer.parseInt(str[i]);
            return arr;    
        } 
    } 
}