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

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

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

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