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

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

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

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