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

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

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

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 0 0 0 0 5 2 7 8 9 3 6 3 7 2 6 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