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

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

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

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