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 
import math
from itertools import permutations
input = lambda: sys.stdin.readline().strip()
t = int(input())
def set_val(a,b):
    temp = su[a][b]
    for k in range(9):
        if (k+1)!=su[a][b] and not vis[k]:
            vis[k] = True 
            su[a][b] = k+1
            break
    if su[a][b]==temp:
        print(vis)
        print("Yes",a,b,temp)
while t:
    t-=1
    su = []
    for i in range(9):
        su.append(list(map(int,list(input()))))
    vis = [False]*9
    val = [[1,1,su[1][1]],
           [4,4,su[4][4]],
           [7,7,su[7][7]],
           [0,3,su[0][3]],
           [2,6,su[2][6]],
           [3,0,su[3][0]],
           [5,8,su[5][8]],
           [6,2,su[6][2]],
           [8,5,su[8][5]]]
    for i in val:
        if i[2]==5:
            su[i[0]][i[1]] = 6
        else:
            su[i[0]][i[1]] = 10-i[2]
    for i in range(9):
        print(''.join(map(str,su[i])))