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

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

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

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