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

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

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

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