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

Example 2:
Input:  7 9 9 1 8 2 3 2 1 1 1 3 7 1 6 1 4 3 8 6 4 2 7
Output: 2 7 7 9 9 1 8 2 3 2 1 1 1 3 7 1 6 1 4 3 8 6 4

Example 3:
Input:  9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 1 6 3
Output: 6 3 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 1

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