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:
    l1=input()
    l1=list(l1)
    l2=input()
    l2=list(l2)
    l3=input()
    l3=list(l3)
    l4=input()
    l4=list(l4)
    l5=input()
    l5=list(l5)
    l6=input()
    l6=list(l6)
    l7=input()
    l7=list(l7)
    l8=input()
    l8=list(l8)
    l9=input()
    l9=list(l9)
    l1[0]=l2[0]
    l2[3]=l3[3]
    l3[6]=l1[6]
    l4[1]=l5[1]
    l5[4]=l6[4]
    l6[7]=l4[7]
    l7[2]=l8[2]
    l8[5]=l9[5]
    l9[8]=l7[8]
    for i in l1:
        print(i,end="")
    print("")
    for i in l2:
        print(i,end="")
    print("")
    for i in l3:
        print(i,end="")
    print("")
    for i in l4:
        print(i,end="")
    print("")
    for i in l5:
        print(i,end="")
    print("")
    for i in l6:
        print(i,end="")
    print("")
    for i in l7:
        print(i,end="")
    print("")
    for i in l8:
        print(i,end="")
    print("")
    for i in l9:
        print(i,end="")
    print("")
    t=t-1