<|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 7 2 9 1 4 3 0 0 0 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 7 2 9 1 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
9 6 8 5 1 8 1 1 1 6 7 5 1 5 9 7 3 6 5 2 6 3 3 8 9 3 5 5 3 7
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