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:  6 4 6 9 5 2 4 0 0 0 0 0 0 3 6 4 6 2 5 5 2 9 3
Output: 4 6 9 5 2 4 0 0 0 0 0 0 3 6 4 6 2 5 5 2 9 3 6

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
3 1 8 2 9 7 8 4 5 7 0 0 0 3 2 3 7 7 2 7 2 3 5
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