To open a combination lock, you turn the dial to the right and stop at a number; then you turn it to the left and stop at a second number. Finally, you turn the dial back to the right and stop at a third number. If you used the correct sequence of numbers, the lock opens. If the dial of the lock contains 15 numbers, 0 through 14, determine the number of different combinations possible for the lock. Note: The same number can be reused consecutively.

Question

To open a combination lock, you turn the dial to the right and stop at a number; then you turn it to the left and stop at a second number. Finally, you turn the dial back to the right and stop at a third number. If you used the correct sequence of numbers, the lock opens. If the dial of the lock contains 15 numbers, 0 through 14, determine the number of different combinations possible for the lock. Note: The same number can be reused consecutively. 

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