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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
4 0 7 8 6 0 0 9 0 0 0 7 3 6 4 0 0 7 0 1 0 0 8 6 9 0 6 5 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