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

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

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

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