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

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

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

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