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

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

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

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