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

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

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

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