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

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

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

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