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:
t=int(input())
for _ in range(t):
    s=[0]*9
    for i in range(9):
        s[i]=str(input())
    for i in range(1,10):
        if i!=int(s[0][0]) and i!=int(s[1][3]) and i!=int(s[2][6]): a=i
    for i in range(3):
        for i2 in range(9):
            if (i==0 and i2==0)or(i==1 and i2==3)or(i==2 and i2==6):
                print(a,end="")
            else: print(s[i][i2],end="")
        print("")
    for i in range(1,10):
        if i!=int(s[3][1]) and i!=int(s[4][4]) and i!=int(s[5][7]): a=i
    for i in range(3,6):
        for i2 in range(9):
            if (i==3 and i2==1)or(i==4 and i2==4)or(i==5 and i2==7):
                print(a,end="")
            else: print(s[i][i2],end="")
        print("")
    for i in range(1,10):
        if i!=int(s[6][2]) and i!=int(s[7][5]) and i!=int(s[8][8]): a=i
    for i in range(6,9):
        for i2 in range(9):
            if (i==6 and i2==2)or(i==7 and i2==5)or(i==8 and i2==8):
                print(a,end="")
            else: print(s[i][i2],end="")
        print("")