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())
def printmat(mat):
    for i in mat:
        for j in i:
            print(j,end="")
        print()
for r in range(t):
    mat=[]
    for i in range(9):
        s=input().strip("\n")
        temp=[]
        for j in s:
            temp.append(j)
        mat.append(temp)
    # print("***************")
    d={}
    mat[1][3]=mat[1][0]
    d[mat[1][3]]=1
    mat[2][6]=mat[2][0]
    d[mat[2][6]]=1
    mat[3][2]=mat[3][0]
    d[mat[3][4]]=1
    mat[4][4]=mat[4][0]
    d[mat[4][4]]=1
    mat[5][7]=mat[5][0]
    d[mat[5][7]]=1
    mat[7][5]=mat[7][0]
    d[mat[7][5]]=1
    mat[8][8]=mat[8][0]
    d[mat[8][8]]=1
    mat[6][0]=mat[0][0]
    d[mat[6][0]]=1
    mat[0][1]=mat[0][0]
    printmat(mat)