<|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 8 9 4 7 5 1 6 0 0 5 9 0 2 0 0 3 3 8 0 5 8 1 0
Output: 0 0 0 0 0 0 0 0 8 9 4 7 5 1 6 5 9 2 3 3 8 5 8 1

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

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

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