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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
9 8 0 4 6 5 7 0 0 3 7 5 5 2 0 5 1 0 9 1 9 0 3 8 0 0 7 0 2 7
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