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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 5 5 3 4 5 9 3 6 4 3
Output: 4 3 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 5 5 3 4 5 9 3 6

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

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

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