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

Example 2:
Input:  7 4 4 3 9 5 5 1 5 2 2 2 5 4 9 6 2 1
Output: 9 5 5 1 5 2 2 2 5 4 9 6 2 1 7 4 4 3

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

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