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

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

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

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