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

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

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

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