Dear Doctor, Firstly, I wanted to express my gratitude for your exceptional lectures. They have been truly enlightening and have enhanced my understanding of the subject matter. However, I would like to raise a small note regarding the count of 8-puzzle states. It has come to my attention that the count of 8-puzzle states follows the factorial of 9. This means that the first tile will occupy the first position out of the 9 available positions. However, when it comes to the second tile, it will take the second position out of the remaining 8 positions, as the first position has already been occupied. If my understanding is incorrect, I would greatly appreciate it if you could provide me with the correct information regarding the positioning of the tiles in 8-puzzle states. Thank you once again for your outstanding lectures, and I look forward to your response.
the 8-puzzle has 9!/2 possible states, where 9! is the total number of possible configurations of the puzzle, and 2 is the factor that accounts for the solvability of certain configurations.
Dear Doctor,
Firstly, I wanted to express my gratitude for your exceptional lectures. They have been truly enlightening and have enhanced my understanding of the subject matter.
However, I would like to raise a small note regarding the count of 8-puzzle states. It has come to my attention that the count of 8-puzzle states follows the factorial of 9. This means that the first tile will occupy the first position out of the 9 available positions. However, when it comes to the second tile, it will take the second position out of the remaining 8 positions, as the first position has already been occupied.
If my understanding is incorrect, I would greatly appreciate it if you could provide me with the correct information regarding the positioning of the tiles in 8-puzzle states.
Thank you once again for your outstanding lectures, and I look forward to your response.
the 8-puzzle has 9!/2 possible states, where 9! is the total number of possible configurations of the puzzle, and 2 is the factor that accounts for the solvability of certain configurations.
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