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 6 5 9 8 8 9 5 8 6 6 5 4 0 0 0 0 0 0 0 0 8 5 8 5 6 5 8 2 4
Output: 4 7 6 5 9 8 8 9 5 8 6 6 5 4 0 0 0 0 0 0 0 0 8 5 8 5 6 5 8 2

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

Example 3:
Input:  8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 9 1 9 1 4 7 3 7 7 3 1
Output: 1 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 9 1 9 1 4 7 3 7 7 3

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