<|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:  2 7 3 7 9 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 8 9
Output: 9 8 9 2 7 3 7 9 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
0 0 0 0 0 0 0 0 0 0 4 7 4 8 5 2 7 3 6 6 4 1 9 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