Nearest Element in Sorted ArrayEasy

Nearest Element in Sorted Array

EasyPractice library · +10 XPbinary searchsorted arrays

Given a sorted array of N distinct integers and a target integer T, find the element in the array that is closest in value to T. If there are two elements equally close to T (one smaller and one larger), choose the smaller one.

Input

The first line contains two integers N and T, where N is the size of the array and T is the target value. The second line contains N distinct integers, sorted in ascending order, representing the array.

Output

Print a single integer, the element in the array closest to T, with the tie-breaking rule applied.

Constraints

1 <= N <= 1000 -10^9 <= T <= 10^9 -10^9 <= array elements <= 10^9

Time limit 1 s (native code; slower languages get more)Memory 256 MB14 hidden tests

Example 1

Input
5 10
2 5 8 13 17
Output
8

10 is closest to 8 and 13. 8 is smaller, so 8 is chosen.

Example 2

Input
5 15
2 5 8 13 17
Output
13

15 is closest to 13 and 17. 13 is smaller, so 13 is chosen.

Hints