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

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

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

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