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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
3 3 4 3 6 4 9 3 6 6 3 2 8 7 9 8 8 0 0 0 0 3 7 7 8 7 9 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