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

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

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

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