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

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

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