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 9 7 5 5 8 1 7 5 6 5 3 1 5 4 8 7 1 3 6 9 3 7 1 7 2
Output: 2 3 9 7 5 5 8 1 7 5 6 5 3 1 5 4 8 7 1 3 6 9 3 7 1 7

Example 2:
Input:  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 3 3 2 5
Output: 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 3 3 2

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

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