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

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

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

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