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:  6 0 1 7 0 0 0 8 3 2 6 2 0 7 0 1 3 0 3 0 0 0 0 7 6 0 0 6
Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 6 1 7 8 3 2 6 2 7 1 3 3 7 6 6

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

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

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