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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
3 2 9 6 5 8 3 1 2 5 3 1 3 9 7 5 9 8 9 8 5 8 2 9 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