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

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

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

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