Minimum Excluded value (MEX)
Let’s consider the positive whole numbers (0, 1, 2, …). For a given list of numbers
l, we’ll say that the minimum excluded value (MEX) of l is the smallest nonnegative integer number that doesn’t occur in l. You are asked to write a program that given the list l, would calculate its MEX.Input
The first line of the input contains a single integer
n (1 ≤ n ≤ ) the number of elements in the list l. The next line contains n elements representing the list .Output
The program should print the MEX of the given list.
Examples
Input | Output |
3
1 2 3 | 0 |
4
0 1 3 4 | 2 |
5
0 1 2 3 4 | 5 |
Constraints
Time limit: 2 seconds
Memory limit: 512 MB
Output limit: 1 MB