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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 5 2 8 2 2 4 1 1 8
Output: 1 8 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 5 2 8 2 2 4 1

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

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

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