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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
8 8 4 1 9 4 5 8 5 8 7 6 6 7 0 0 0 0 0 0 0 0 0 0 0 3 7 5 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