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

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

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

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