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

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

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

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