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

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

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

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 7 4 5 9 1 8 6 8 9 0 0 0 0 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