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

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

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

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