<|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 0 0 0 0 0 0 0 0 0 0 2 2 9 1
Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 9 1 0 0 0

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
7 7 8 1 3 1 6 3 9 0 0 0 0 0 0 0 5 1 8 8 1 7 8 9 5 2 6 5 8
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