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

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

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

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