A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: Find the common rule that maps an input grid to an output grid, given the examples below.

Example 1:
Input:  4 9 1 1 8 1 7 9 8 3 6 3 2 9 0 0 0 0 3 4
Output: 4 4 9 1 1 8 1 7 9 8 3 6 3 2 9 0 0 0 0 3

Example 2:
Input:  3 1 3 8 5 2 6 8 0 0 0 0 5 6 9 6 6 7 9 1
Output: 1 3 1 3 8 5 2 6 8 0 0 0 0 5 6 9 6 6 7 9

Example 3:
Input:  4 8 9 3 3 5 0 0 0 0 4 7 5 7 6 8 7 6 5 5
Output: 5 4 8 9 3 3 5 0 0 0 0 4 7 5 7 6 8 7 6 5

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
2 3 2 2 4 0 0 0 4 7 5 3 9 2 8 6 7 1 2 3
Show your work in <think> </think> tags, and return the answer in <answer> </answer> tags with space between each number. For example <answer> 1 3 5 7 </answer>.
Assistant: Let me solve this step by step.
<think>
user