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

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

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

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