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

Example 2:
Input:  7 4 1 3 4 3 5 2 9 4 3 9 7 7 0 0 0 0 0 0 0 0 0 0 0 6
Output: 0 6 7 4 1 3 4 3 5 2 9 4 3 9 7 7 0 0 0 0 0 0 0 0 0 0

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

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