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:  8 2 6 9 5 0 0 0 0 0 0 0 9 4 4 4 4
Output: 4 8 2 6 9 5 0 0 0 0 0 0 0 9 4 4 4

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
9 8 8 3 6 6 3 8 4 6 1 6 8 5 7 9 2
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