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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
9 5 8 1 1 3 2 5 4 9 7 4 5 7 4 4 0 0 9 5 4 5 6 5 1 2 9 2 3
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