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

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

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

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