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

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

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

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