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

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

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

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