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:  9 5 4 4 4 1 4 8 8 5 5 9 4 3 7 1 3 6 7 1
Output: 5 4 4 4 1 4 8 8 5 5 9 4 3 7 1 3 6 7 1 9

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

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

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