<|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:  5 1 3 2 5 9 5 8 6 5 7 5 8 4 2 6 2 9 3 8 3 1 8 5 1 7 9
Output: 2 5 9 5 8 6 5 7 5 8 4 2 6 2 9 3 8 3 1 8 5 1 7 9 5 1 3

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

Example 3:
Input:  2 1 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 6

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