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:  0 0 0 0 0 0 0 0 0 0 0 0 0 5 9 9 2 0 0
Output: 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 9 9

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

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

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