{leetcode}/problems/airplane-seat-assignment-probability/[LeetCode - Airplane Seat Assignment Probability^]
<code data-stringify-type="code">n` passengers board an airplane with exactly <code data-stringify-type="code">n` seats. The first passenger has lost the ticket and picks a seat randomly. But after that, the rest of passengers will:
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Take their own seat if it is still available,
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Pick other seats randomly when they find their seat occupied
What is the probability that the n-th person can get 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:
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1 ⇐ n ⇐ 10^5
link:{sourcedir}/_1227_AirplaneSeatAssignmentProbability.java[role=include]