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

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

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

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