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

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

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

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