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

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

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

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