D. Anti-Sudoku
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

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.

The picture showing the correct sudoku solution: Blocks are bordered with bold black color.

Your task is to change at most $9$ elements of this field (i.e. choose some $1 \le i, j \le 9$ 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 $9 \times 9$ 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 $3 \times 3$ 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 $t$ ($1 \le t \le 10^4$) — 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