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

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

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

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