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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
5 2 7 4 5 4 2 0 0 0 0 0 0 0 0 0 0 5 5 9 9 8 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