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

Example 2:
Input:  8 5 4 9 1 6 3 3 1 5 9 8 0 5 5 4 4 1 4 4 4 3 1 1 9 8 3 8 7
Output: 8 7 8 5 4 9 1 6 3 3 1 5 9 8 0 5 5 4 4 1 4 4 4 3 1 1 9 8 3

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

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