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

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

Example 3:
Input:  8 0 5 8 0 8 2 7 0 0 0 2 5 0 3 8 9 8 0 5 0 2 7 0 3 2 0 0 9
Output: 0 0 0 0 0 0 0 0 0 0 0 8 5 8 8 2 7 2 5 3 8 9 8 5 2 7 3 2 9

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