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

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

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

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