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 4 2 0 0 3 7 0 0 6 0 5 3 3 0 0 6 0 0 5 4 0 0 0 0 1 0 0 3 0
Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 4 2 3 7 6 5 3 3 6 5 4 1 3

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
3 0 7 2 8 7 4 0 0 7 7 4 0 3 9 0 1 9 8 0 4 0 3 6 0 0 7 2 0 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