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:  0 8 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Output: 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 5

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
1 9 1 9 9 9 0 0 6 6 3 5 4 8 6 9 9 2 9 3 6 2 7 6
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