<|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:  8 0 0 0 0 0 0 0 0 0 0 0 0 8 6 8 2 4
Output: 8 2 4 8 0 0 0 0 0 0 0 0 0 0 0 0 8 6

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

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

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