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

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

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

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