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

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

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

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