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

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

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

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