Find Smallest Number Greater Than KEasy

Find Smallest Number Greater Than K

EasyPractice library · +10 XPbinary searchsorted arrays

Given a sorted array of distinct integers A and an integer K, find the smallest integer in A that is strictly greater than K. If no such integer exists, report that.

Input

The first line contains two integers N and K, the size of the array and the target value. The second line contains N space-separated distinct integers, the elements of the array A, sorted in ascending order.

Output

Print the smallest integer in A that is strictly greater than K. If no such integer exists, print -1.

Constraints

1 <= N <= 1000 -10^9 <= K <= 10^9 -10^9 <= A[i] <= 10^9 for all i A is sorted in ascending order and contains distinct integers.

Time limit 1 s (native code; slower languages get more)Memory 256 MB13 hidden tests

Example 1

Input
5 3
1 2 4 5 7
Output
4

4 is the smallest element greater than 3.

Example 2

Input
3 10
1 5 9
Output
-1

No element is greater than 10, so output -1.

Hints