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 9 2 9 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 8 3 9 5
Output: 3 9 5 4 3 9 2 9 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 8

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

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

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