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

Example 2:
Input:  3 6 5 1 7 0 0 0 0 0 0 6 3 2 2 5 3 9 1 4 6 7 7 7 1 9 8 9 4
Output: 7 0 0 0 0 0 0 6 3 2 2 5 3 9 1 4 6 7 7 7 1 9 8 9 4 3 6 5 1

Example 3:
Input:  9 0 0 0 0 0 0 0 0 0 4 8 6 6 8 1 1 2 3 1 8 5 5 9 5 5 4 4 3
Output: 0 0 0 0 0 0 4 8 6 6 8 1 1 2 3 1 8 5 5 9 5 5 4 4 3 9 0 0 0

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 5 6 8 9 2 0 0 0 0 0 0 0 0 0 0 0 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