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

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

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

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