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:  4 6 2 4 2 0 0 0 0 0 0 0 0 0 7 4 6 2 3
Output: 2 3 4 6 2 4 2 0 0 0 0 0 0 0 0 0 7 4 6

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

Example 3:
Input:  7 1 7 3 4 7 6 3 6 0 0 0 9 5 8 8 7 9 7
Output: 9 7 7 1 7 3 4 7 6 3 6 0 0 0 9 5 8 8 7

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