<|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:  9 0 0 0 0 0 0 5 2 6 7 4 6 4 1 4 2 3 3 6 1 6 6 6 6 2 2 9 9 7
Output: 0 0 0 5 2 6 7 4 6 4 1 4 2 3 3 6 1 6 6 6 6 2 2 9 9 7 9 0 0 0

Example 2:
Input:  7 5 4 1 4 4 3 7 5 5 1 7 6 7 7 6 3 2 5 4 9 8 0 0 3 2 6 6 8 3
Output: 4 4 3 7 5 5 1 7 6 7 7 6 3 2 5 4 9 8 0 0 3 2 6 6 8 3 7 5 4 1

Example 3:
Input:  6 9 1 3 3 3 2 2 7 7 2 1 7 1 3 1 5 8 8 1 7 1 3 9 2 2 0 0 0 5
Output: 3 3 2 2 7 7 2 1 7 1 3 1 5 8 8 1 7 1 3 9 2 2 0 0 0 5 6 9 1 3

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