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

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

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

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