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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
7 2 3 6 4 9 4 7 0 0 0 2 1 6 6 4 3 1 4 9 2 2 8 7 8 8 3 8 1 6
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