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

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

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

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