<|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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Example 2:
Input:  0 0 0 0 0 0 0 0 0 0 0 0 2 3 9 2 9 5 0 0 0 0 0 0 0 0 0 0 0 0
Output: 0 0 0 0 0 0 0 0 0 0 2 3 9 2 9 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
0 0 0 0 0 9 3 6 9 3 3 7 7 9 8 6 1 9 3 7 7 1 2 7 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