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

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

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

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