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

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

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

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