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 heapq
import math

def input():
    return sys.stdin.readline().strip()
 
def iinput():
    return int(input())
 
def rinput():
    return map(int, input().split())

def rlinput():
    return list(map(int, input().split()))

def YES(flag):
    if flag:
        return "YES"
    return "NO" 

def main():
    #n = int(sys.stdin.readline().strip())
    # n = iinput()
    # n, k = rinput()
    # n, m, k = rinput()
    q = [[0, 0], [1, 4], [2,7],[3,3],[4,1],[5,6],[6,2],[7,5],[8,8]]
    w = [str(i) for i in range(1, 10)]
    e = []
    for i in range(9):
        e.append(list(input()))
    for i in q:
        x, y = i
        if e[x][y] != "1":
            e[x][y] = "1"
        else:
            e[x][y] = "9"
    for i in range(9):
        print("".join(e[i]))
for i in range(iinput()):
    main()