<|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:  5 8 4 7 7 9 4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Output: 0 0 0 5 8 4 7 7 9 4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0

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

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

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