Challenge: The k-th Smallest

Lab Java Beginner 10 points

Print the k-th smallest number (k = 1 means the smallest). Use selection sort, but stop after k rounds – you don't need to sort the whole array.

Input

Line 1: n k (1 ≤ k ≤ n). Line 2: n whole numbers.

Output

The k-th smallest number.

Example

Input

6 2
7 3 9 3 1 8

Output

Sample input available Sample output available

Editor

Java

Hints

Round i puts the i-th smallest number at index i.

After k rounds the answer is at a[k - 1].

Solution explanation

k rounds of up to n checks: O(n·k) – much less than O(n²) when k is small.

Show solution

import java.util.Scanner;

public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt(), k = sc.nextInt();
        int[] a = new int[n];
        for (int i = 0; i < n; i++) a[i] = sc.nextInt();
        for (int i = 0; i < k; i++) {             // only k rounds
            int min = i;
            for (int j = i + 1; j < n; j++) if (a[j] < a[min]) min = j;
            int t = a[i]; a[i] = a[min]; a[min] = t;
        }
        System.out.println(a[k - 1]);
    }
}

Output

Answer