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

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

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

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