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

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

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

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