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

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

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

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