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

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

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

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