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:  0 0 0 0 0 1 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Output: 0 1 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

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

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

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