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.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.lang.reflect.Array;
import java.math.BigInteger;
import java.math.BigInteger;
import java.util.*;
import java.util.Vector;

public class Main {

    public static void main(String[] args) {
        FastReader scan = new FastReader();
        int test  = scan.nextInt();
        for(int j=0;j<test;j++){

            String[] arr = new String[9];
            for(int i=0;i<9;i++){
                arr[i] = scan.next();
                switch (i){
                    case 0:
                        String s;
                        int p = Character.getNumericValue(arr[i].charAt(6));
                        if( p== 9){
                            s = arr[i].substring(0,6);
                            s+="1";
                            s+=arr[i].substring(7,9);
                        }
                        else{
                            s = arr[i].substring(0,6);
                            p=p+1;
                            s+=Integer.toString(p);
                            s+=arr[i].substring(7,9);
                        }
                        System.out.println(s);
                        continue;

                    case 1:
                        s="";
                        p = Character.getNumericValue(arr[i].charAt(1));
                        if( p== 9){
                            s = arr[i].substring(0,1);
                            s+="1";
                            s+=arr[i].substring(2,9);
                        }
                        else{
                            s = arr[i].substring(0,1);
                            p=p+1;
                            s+=Integer.toString(p);
                            s+=arr[i].substring(2,9);
                        }
                        System.out.println(s);
                        continue;

                    case 2:
                        s = "";
                        p = Character.getNumericValue(arr[i].charAt(5));
                        if( p== 9){
                            s = arr[i].substring(0,5);
                            s+="1";
                            s+=arr[i].substring(6,9);
                        }
                        else{
                            s = arr[i].substring(0,5);
                            p=p+1;
                            s+=Integer.toString(p);
                            s+=arr[i].substring(6,9);
                        }
                        System.out.println(s);
                        continue;

                    case 3:
                        s="";
                        p = Character.getNumericValue(arr[i].charAt(8));
                        if( p== 9){
                            s = arr[i].substring(0,8);
                            s+="1";
                            s+=arr[i].substring(9,9);
                        }
                        else{
                            s = arr[i].substring(0,8);
                            p=p+1;
                            s+=Integer.toString(p);
                            s+=arr[i].substring(9,9);
                        }
                        System.out.println(s);
                        continue;
                    case 4:
                        s="";
                        p = Character.getNumericValue(arr[i].charAt(2));
                        if( p== 9){
                            s = arr[i].substring(0,2);
                            s+="1";
                            s+=arr[i].substring(3,9);
                        }
                        else{
                            s = arr[i].substring(0,2);
                            p=p+1;
                            s+=Integer.toString(p);
                            s+=arr[i].substring(3,9);
                        }
                        System.out.println(s);
                        continue;

                    case 5:
                        s="";
                        p = Character.getNumericValue(arr[i].charAt(4));
                        if( p== 9){
                            s = arr[i].substring(0,4);
                            s+="1";
                            s+=arr[i].substring(5,9);
                        }
                        else{
                            s = arr[i].substring(0,4);
                            p=p+1;
                            s+=Integer.toString(p);
                            s+=arr[i].substring(5,9);
                        }
                        System.out.println(s);
                        continue;

                    case 6:
                        s="";
                        p = Character.getNumericValue(arr[i].charAt(7));
                        if( p== 9){
                            s = arr[i].substring(0,7);
                            s+="1";
                            s+=arr[i].substring(8,9);
                        }
                        else{
                            s = arr[i].substring(0,7);
                            p=p+1;
                            s+=Integer.toString(p);
                            s+=arr[i].substring(8,9);
                        }
                        System.out.println(s);
                        continue;

                    case 7:
                        s="";
                        p = Character.getNumericValue(arr[i].charAt(0));
                        if( p== 9){
                            s = arr[i].substring(0,0);
                            s+="1";
                            s+=arr[i].substring(1,9);
                        }
                        else{
                            s = arr[i].substring(0,0);
                            p=p+1;
                            s+=Integer.toString(p);
                            s+=arr[i].substring(1,9);
                        }
                        System.out.println(s);
                        continue;

                    case 8:
                        s="";
                        p = Character.getNumericValue(arr[i].charAt(3));
                        if( p== 9){
                            s = arr[i].substring(0,3);
                            s+="1";
                            s+=arr[i].substring(4,9);
                        }
                        else{
                            s = arr[i].substring(0,3);
                            p=p+1;
                            s+=Integer.toString(p);
                            s+=arr[i].substring(4,9);
                        }
                        System.out.println(s);
                        continue;
                }



            }
        }
    }


    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());
        }

        String nextLine() {
            String str = "";
            try {
                str = br.readLine();
            }
            catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }
    }
}