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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
8 1 5 2 2 4 3 8 6 7 3 9 6 5 5 1 7 8 5 9 4 2 8 1 6 9 3
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