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

Example 2:
Input:  8 7 5 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Output: 7 5 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8

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

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