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

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

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

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 7 7 7 8 3 5 8 2 1 5 2 6 9 3 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