<|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:  1 9 1 7 7 9 6 0 0 0 0 0 0 0 0 0 4 9 5 9 2 3 8 1 6 4 8 6
Output: 8 6 1 9 1 7 7 9 6 0 0 0 0 0 0 0 0 0 4 9 5 9 2 3 8 1 6 4

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

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

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 0 6 7 2 5 5 1 1 8 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