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

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

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

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