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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
2 3 3 2 1 8 5 7 4 6 1 2 5 4 5 5 1 9 7 0 0 0 2 7 8
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