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

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

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

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