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

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

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

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