Find Smallest Missing Positive IntegerEasy

Find Smallest Missing Positive Integer

EasyPractice library · +10 XPtwo pointersbinary searcharrays

Given a sorted array of integers (possibly containing duplicates, negatives, and zeros), find the smallest positive integer (greater than 0) that is missing from the array. If all positive integers from 1 up to N are present, the answer is N+1.

Input

The first line contains an integer N, the size of the array. The second line contains N space-separated integers representing the array elements.

Output

Print a single integer: the smallest missing positive integer.

Constraints

1 <= N <= 1000. Array elements are between -1000 and 1000.

Time limit 1 s (native code; slower languages get more)Memory 256 MB15 hidden tests

Example 1

Input
5
1 2 0 4 5
Output
3

The positive integers are 1, 2, 4, 5. The smallest missing positive integer is 3.

Example 2

Input
7
-2 -1 0 1 2 3 4
Output
5

The positive integers are 1, 2, 3, 4. The smallest missing positive integer is 5.

Hints