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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
4 3 3 0 0 5 8 3 8 6 5 1 3 8 5 2 1 5 3 7 2 9 8 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