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

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

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

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