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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
8 6 9 3 3 8 6 5 7 4 8 3 4 2 6 6 0 0 0 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