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

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

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

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