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

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

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

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