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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
9 0 0 0 0 0 0 0 0 3 8 8 9 9 5 2 1 4 4 1 9 5 8 1 2 5 7 5 9 6
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