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

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

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

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