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

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

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

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