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

Example 2:
Input:  0 0 0 0 0 0 0 0 0 0 9 4 3 1 8 4 3 4 7 5 5 2 7 6 1 6
Output: 0 0 0 0 0 0 0 0 0 9 4 3 1 8 4 3 4 7 5 5 2 7 6 1 6 0

Example 3:
Input:  8 7 5 9 4 1 1 5 2 1 8 5 2 3 3 7 9 9 2 3 3 3 5 2 5 2
Output: 7 5 9 4 1 1 5 2 1 8 5 2 3 3 7 9 9 2 3 3 3 5 2 5 2 8

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