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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
7 7 8 4 9 3 7 2 7 7 1 0 0 0 0 8 7 2 4 9 4 8 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