Practice Airplane Seat Assignment Probability

Read the task, work through the examples, and check your approach against the constraints. Use the original LeetCode task for coding and submissions.

Medium#1227

LeetCode Problem

Airplane Seat Assignment Probability

Math Dynamic Programming Brainteaser Probability and Statistics

Problem Statement

n passengers board in their assigned-seat order. The first chooses uniformly from all n seats after losing the ticket. Each later passenger takes their assigned seat if free, or chooses uniformly among remaining free seats if it is occupied. Return the probability that the final passenger sits in their own seat.

Source: Airplane Seat Assignment Probability on LeetCode. Use the original task for its coding environment and submissions.

Examples

# Example 1

Input

n = 1

Output

1.00000

# Example 2

Input

n = 2

Output

0.50000

Constraints

1 <= n <= 10^5

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