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 3 3 7 9 3 7 0 0 0 0 0 0 0 0 0 9 1 2 3 2 3 7
Output: 9 3 7 0 0 0 0 0 0 0 0 0 9 1 2 3 2 3 7 6 3 3 7

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

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

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