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

Example 2:
Input:  5 4 8 1 8 0 0 0 0 0 0 0 0 0 0 0 0 2 8 2 4 3
Output: 8 2 4 3 5 4 8 1 8 0 0 0 0 0 0 0 0 0 0 0 0 2

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

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