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 9 9 5 6 7 5 4 9 1 0 0 0 0 0 0 0 0 0 0 0 0
Output: 0 0 0 0 0 0 0 0 0 9 9 5 6 7 5 4 9 1 0 0 0 0 0 0 0 0 0 0

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

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

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