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

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

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

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