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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
9 8 0 0 9 1 0 0 7 0 9 4 0 8 3 5 0 8 0 0 0 0 0 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