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

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

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

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