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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 8 2 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