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

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

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

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