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

Example 2:
Input:  6 8 3 3 0 0 0 0 0 0 0 0 0 7 9 3 3 4 6 3 3
Output: 6 3 3 6 8 3 3 0 0 0 0 0 0 0 0 0 7 9 3 3 4

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

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