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:  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 5 1 8 9 1 2 7 9
Output: 7 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 5 1 8 9 1 2

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

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

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