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

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

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

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