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

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

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

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