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:
import sys
input=sys.stdin.readline
t=int(input())
for _ in range(t):
    graph=[]
    res = [[] for _ in range(9)]
    #tochange=[]
    for i in range(9):
        temp=input()
        #graph.append(temp)
        for j in range(9):
            res[i].append(temp[j])

    #print(res)

    if res[0][0]=='9':
        #graph[0][0]-=1
        res[0][0] ='8'
    else:
        res[0][0] =int(res[0][0])+1

    if res[1][4]=='9':
        res[1][4] = '8'
    else:
        res[1][4]=int(res[1][4])+1

    if res[2][6]=='9':
        res[2][6] = '8'
    else:
        res[2][6] =int(res[2][6] )+ 1

    if res[3][1]=='9':
        res[3][1]= '8'
    else:
        res[3][1] =int(res[3][1] )+ 1

    if res[4][3]=='9':
        res[4][3]= '8'
    else:
        res[4][3] =int(res[4][3] )+ 1

    if res[5][7]=='9':
        res[5][7]= '8'
    else:
        res[5][7] =int(res[5][7] )+ 1

    if res[6][2]=='9':
        res[6][2]= '8'
    else:
        res[6][2] =int(res[6][2] )+ 1

    if res[7][5]=='9':
        res[7][5]= '8'
    else:
        res[7][5] =int(res[7][5] )+ 1

    if res[8][8]=='9':
        res[8][8]= '8'
    else:
        res[2+6][6+2] =int(res[8][8] )+ 1


    for i in range(9):
        for j in range(9):
            print(res[i][j],end="")
        print()