<|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 6 6 9 4 8 3 2 4 2 2 8 3 9 8 2 3 7 4 3 9 6 4 8
Output: 8 9 6 6 9 4 8 3 2 4 2 2 8 3 9 8 2 3 7 4 3 9 6 4

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

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

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