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 PYTHON3):

Solution:
"""def power(x, y): 
    res = 1
    x=x
    while (y > 0): 
        if ((y & 1) == 1) : 
            res = (res * x) 
        y = y >> 1
        x = (x * x)
    return res""" 
"""def fact(n):
    if(n==0):
        return 1
    if(n==1):
        return 1
    return fact(n-1)+fact(n-2)"""

import math
#import combinations


t=int(input())
for _ in range(t):
    #n=int(input())
    #s=input()
    #arr=list(map(int,input().split()))
    #b=list(map(int,input().split()))
    #d={}
    #flag=1
    #n,a,b=map(int,input().split())
    #count=0
    sudoku=[]
    for i in range(9):
        arr=list(map(int,input().strip()))
        sudoku.append(arr)
    for i in range(9):
        for j in range(9):
            if(sudoku[i][j]==1):
                sudoku[i][j]=2
    for i in range(9):
        print("".join(map(str , sudoku[i])))