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

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

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

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