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:
- Take their own seat if it is still available, and
- Pick other seats randomly when they find their seat occupied
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 <= 105
class Solution:
def nthPersonGetsNthSeat(self, n: int) -> float:
return 1 if n == 1 else 0.5class Solution {
public double nthPersonGetsNthSeat(int n) {
return n == 1 ? 1 : .5;
}
}class Solution {
public:
double nthPersonGetsNthSeat(int n) {
return n == 1 ? 1 : .5;
}
};func nthPersonGetsNthSeat(n int) float64 {
if n == 1 {
return 1
}
return .5
}