A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: Find the common rule that maps an input grid to an output grid, given the examples below.

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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
0 2 3 1 7 8 7 6 9 9 9 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>.
Assistant: Let me solve this step by step.
<think>
user