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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
6 3 0 0 0 9 8 9 0 3 0 4 0 2 0 5 0 5 3 7 1 0 9 7 0 6 0 1 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