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:  8 1 8 9 5 9 6 5 5 7 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5
Output: 8 9 5 9 6 5 5 7 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 8 1

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

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

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