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

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

Example 3:
Input:  7 9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 5 3 9
Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 5 3 9 7 9 9

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
7 5 6 0 0 0 0 0 0 0 0 2 5 1 2 2 6 9 4 5 8 8 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