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

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

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

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