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:  4 0 0 0 0 0 0 0 0 0 0 2 8 5 6 5 8 4 2 3 8 4
Output: 0 0 0 0 0 0 0 0 0 0 2 8 5 6 5 8 4 2 3 8 4 4

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

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

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