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:  4 0 0 0 0 0 0 0 0 0 0 5 6 5 5 3 5 8 8 5 4 3 2 5 8
Output: 0 0 0 0 0 0 0 0 0 5 6 5 5 3 5 8 8 5 4 3 2 5 8 4 0

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

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

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