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

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

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

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 5 2 3 7 4 6 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0
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