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

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

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

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