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Airplane Seat Assignment Probability

n passengers board an airplane with exactly n seats.

n passengers board an airplane with exactly n seats. The first passenger has lost the ticket and picks a seat randomly. But after that, the rest of the passengers will:

Return the probability that the nth person gets his own seat.

Example 1

Input: n = 1

Output: 1.00000

Explanation: The first person can only get the first seat.

Example 2

Input: n = 2

Output: 0.50000

Explanation: The second person has a probability of 0.5 to get the second seat (when first person gets the first seat).

Constraints

  • 1 <= n <= 10^5

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