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

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

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

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