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:  7 9 4 4 6 2 3 4 6 6 6 8 7 3 4 3 8 0 1 7 9 7 7 6 6 3 4 9
Output: 9 4 4 6 2 3 4 6 6 6 8 7 3 4 3 8 0 1 7 9 7 7 6 6 3 4 9 7

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
1 5 7 8 6 7 6 4 9 8 1 9 7 0 9 5 6 7 4 2 6 7 3 2 6 3 6 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