<|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:  8 4 5 5 8 8 5 8 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 8
Output: 5 8 8 5 8 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 8 8 4 5

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

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