<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer.<|im_end|>
<|im_start|>user
Find the common rule that maps an input grid to an output grid, given the examples below.

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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
9 5 2 2 2 6 3 7 2 8 8 8 4 5 9 0 0 0 0 2 8 4 2 7
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>.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user