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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
7 6 4 5 3 6 1 7 1 6 0 2 7 9 9 8 4 8 5 1 3 9 2 5 4 4 3
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