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

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

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

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