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:
from math import gcd
from collections import Counter
def printYes():
    print("YES")
def printNo():
    print("NO")
def a(b):
    b=int(b)
    b=b+1
    if b>9:
        b=1
    return str(b)
t = int(input())

for i in range(t):
    l=[]
    for i in range(9):
        l.append(list(input()))
    
    l[0][0]=a(l[0][0])
    l[1][3]=a(l[1][3])
    l[2][6]=a(l[2][6])
    l[3][1]=a(l[3][1])
    l[4][4]=a(l[4][4])
    l[5][7]=a(l[5][7])
    l[6][2]=a(l[6][2])
    l[7][5]=a(l[7][5])
    l[8][8]=a(l[8][8])
    for i in range(9):
        print("".join(l[i]))