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:  8 9 5 7 4 7 0 6 2 2 2 5 1 5 9 1 5 4 8 4 5 4 5 1 3 7 3
Output: 5 7 4 7 0 6 2 2 2 5 1 5 9 1 5 4 8 4 5 4 5 1 3 7 3 8 9

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

Example 3:
Input:  4 3 4 4 1 2 4 8 5 1 6 9 7 9 5 6 8 9 0 5 3 2 7 5 1 9 3
Output: 4 4 1 2 4 8 5 1 6 9 7 9 5 6 8 9 0 5 3 2 7 5 1 9 3 4 3

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
3 9 4 2 9 1 9 2 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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