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

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

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

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