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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
0 0 0 2 3 3 3 3 9 4 1 7 4 3 2 6 3 5
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