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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
0 0 9 8 8 1 1 1 5 3 6 7 1 2 1 9 5 2 7 1 0 0 0 0
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