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

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

Example 3:
Input:  9 1 0 0 0 0 0 0 0 0 0 0 0 2 9 8 3 9 1 1
Output: 1 1 9 1 0 0 0 0 0 0 0 0 0 0 0 2 9 8 3 9

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