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

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

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

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