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:  5 7 7 9 1 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 6 5 3 8 3 9 4 1
Output: 7 9 1 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 6 5 3 8 3 9 4 1 5 7

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

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