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:  3 3 1 9 6 3 9 1 0 0 0 0 0 0 3 7 8 5 6 1 9 2 8 7
Output: 1 9 6 3 9 1 0 0 0 0 0 0 3 7 8 5 6 1 9 2 8 7 3 3

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

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

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