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
from collections import *
from math import *
t=int(input())
ref={'1':'2','2':'3','3':'4','4':'5','5':'6','6':'7','7':'8','8':'9','9':'1'}
while(t):
    t-=1
    r=[]
    for i in range(9):
        r.append(input().rstrip())
    r11=[]
    r1=ref[r[0][0]]+r[0][1:]
    r11.append(r1)
    r1=r[1][:3]+ref[r[1][3]]+r[1][4:]
    r11.append(r1)
    r1=r[2][:6]+ref[r[2][6]]+r[2][7:]
    r11.append(r1)
    r1=r[3][:1]+ref[r[3][1]]+r[3][2:]
    r11.append(r1)
    r1=r[4][:4]+ref[r[4][4]]+r[4][5:]
    r11.append(r1)
    r1=r[5][:7]+ref[r[5][7]]+r[5][8:]
    r11.append(r1)
    r1=r[6][:2]+ref[r[6][2]]+r[6][3:]
    r11.append(r1)
    r1=r[7][:5]+ref[r[7][5]]+r[7][6:]
    r11.append(r1)
    r1=r[8][:8]+ref[r[8][8]]
    r11.append(r1)
    for i in r11:
        print(i)