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

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

Example 3:
Input:  0 9 5 3 7 9 4 7 9 0 0 0 0 0 0 0 0 0 0 0 0 0
Output: 7 9 4 7 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 5 3

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