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:  9 9 6 9 3 6 8 2 4 5 8 9 7 6 5 2 8 6 1 7 1 3 3 8 5 3
Output: 3 6 8 2 4 5 8 9 7 6 5 2 8 6 1 7 1 3 3 8 5 3 9 9 6 9

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

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

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