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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 4 4 7 9 1 9 6 7 6 5 4 9 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