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

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

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

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