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Anti-Sudoku

2000ms 262144K

Description:

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.

Sample Input:

1
154873296
386592714
729641835
863725149
975314628
412968357
631457982
598236471
247189563

Sample Output:

154873396
336592714
729645835
863725145
979314628
412958357
631457992
998236471
247789563

Informação

Codeforces

Provedor Codeforces

Código CF1335D

Tags

constructive algorithmsimplementation

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Taxa de BOUA's 0%

Datas 09/05/2023 10:01:02

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