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:  2 8 3 0 0 0 0 0 0 0 0 0 0 0 7 7 8 3 7 2 7 8 9
Output: 3 0 0 0 0 0 0 0 0 0 0 0 7 7 8 3 7 2 7 8 9 2 8

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

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

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