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 random import choice

def func(t):
    X = [1,2,3,4,5,6,7,8,9]
    for i in range(len(X)):
        if(X[i]!=int(t)):
            #print(X[i])
            break
    return (str(X[i]))
for _ in range(int(input())):
    A = input()
    B = input()
    C = input()
    D = input()
    E = input()
    F = input()
    G = input()
    H = input()
    I = input()
    A = func(A[0]) + A[1::]
    B = B[0:3] + func(B[3]) + B[4::]
    C = C[0:6] + func(C[6]) + C[7::]
    D = D[0:1] + func(D[1]) + D[2::]
    E = E[0:4] + func(E[4]) + E[5::]
    F = F[0:7] + func(F[7]) + F[8::]
    G = G[0:2] + func(G[2]) + G[3::]
    H = H[0:5] + func(H[5]) + H[6::]
    I = I[0:8] + func(I[8])
    print(A)
    print(B)
    print(C)
    print(D)
    print(E)
    print(F)
    print(G)
    print(H)
    print(I)