<|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:  0 0 0 0 0 0 0 9 7 9 2 6 6 8 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Output: 0 0 0 0 0 0 0 0 0 0 0 9 7 9 2 6 6 8 1 1 0 0 0 0 0 0 0 0 0 0

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
3 9 6 3 8 8 2 2 8 9 1 9 5 0 0 0 0 0 7 9 5 5 2 7 1 9 1 3 2 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