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:
a = int(input())
for _ in range(a):
    z1 = list(str(input()))
    z2 = list(str(input()))
    z3 = list(str(input()))
    z4 = list(str(input()))
    z5 = list(str(input()))
    z6 = list(str(input()))
    z7 = list(str(input()))
    z8 = list(str(input()))
    z9 = list(str(input()))

    if int(z1[0]) == 1:
        z1[0] = 2
    else: z1[0] = 1

    if int(z2[3]) == 1:
        z2[3] = 2
    else: z2[3] = 1

    if int(z3[6]) == 1:
        z3[6] = 2
    else: z3[6] = 1

    if int(z4[1]) == 1:
        z4[1] = 2
    else: z4[1] = 1

    if int(z5[4]) == 1:
        z5[4] = 2
    else: z5[4] = 1

    if int(z6[7]) == 1:
        z6[7] = 2
    else: z6[7] = 1

    if int(z7[2]) == 1:
        z7[2] = 2
    else: z7[2] = 1

    if int(z8[5]) == 1:
        z8[5] = 2
    else: z8[5] = 1

    if int(z9[8]) == 1:
        z9[8] = 2
    else: z9[8] = 1

    for i in range(9):
        print(z1[i], end = '')
    print()

    for i in range(9):
        print(z2[i], end = '')
    print()

    for i in range(9):
        print(z3[i], end = '')
    print()

    for i in range(9):
        print(z4[i], end = '')
    print()

    for i in range(9):
        print(z5[i], end = '')
    print()

    for i in range(9):
        print(z6[i], end = '')
    print()

    for i in range(9):
        print(z7[i], end = '')
    print()

    for i in range(9):
        print(z8[i], end = '')
    print()

    for i in range(9):
        print(z9[i], end = '')
    print()