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

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

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

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