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

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

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

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