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())
while t>0 :
    ls=[]
    e=[]
    a=[0,0,0,0,0,0,0,0,0]
    for _ in range(3) :
        l=[]
        x=input()
        for i in x :
            l.append(int(i))
        for j in range((_%3)*3,(_%3)*3+3) :
            if l[j]!=1 and a[j]<1 :
                l[j]=1
                a[j]+=1
                break
        ls.append(l)
    for _ in range(3,9) :
        l=[]
        x=input()
        for i in x :
            l.append(int(i))
        ex=[]
        for j in range((_%3)*3,(_%3)*3+3) :

            if l[j]!=1 and a[j]<1 :
                ex.append(j)
        e.append(ex)
        ls.append(l)
  #  print(ex)
    if len(e[0])==1 :
        ls[3][e[0][0]]=1 
        a[e[0][0]]+=1 
        for i in e[3] :
            if a[i]<1 :
                ls[6][i]=1 
                a[i]+=1
    else :
        ls[6][e[3][0]]=1
        a[e[3][0]]+=1
        for i in e[0] :
            if a[i]<1 :
                ls[3][i]=1 
                a[i]+=1
    if len(e[1])==1 :
        ls[4][e[1][0]]=1 
        a[e[1][0]]+=1 
        for i in e[4] :
            if a[i]<1 :
                ls[7][i]=1 
                a[i]+=1
    else :
        ls[7][e[4][0]]=1
        a[e[4][0]]+=1
        for i in e[1] :
            if a[i]<1 :
                ls[4][i]=1 
                a[i]+=1
    if len(e[2])==1 :
        ls[5][e[2][0]]=1 
        a[e[2][0]]+=1 
        for i in e[5] :
            if a[i]<1 :
                ls[8][i]=1 
                a[i]+=1
    else :
        ls[8][e[5][0]]=1
        a[e[5][0]]+=1
        for i in e[2] :
            if a[i]<1 :
                ls[5][i]=1 
                a[i]+=1
   # print(a)
    for i in range(9) :
        for j in range(9) :
            print(ls[i][j],end='')
        print()
    t-=1