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

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

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

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