Ashish has an array a of size n.

A subsequence of a is defined as a sequence that can be obtained from a by deleting some elements (possibly none), without changing the order of the remaining elements.

Consider a subsequence s of a. He defines the cost of s as the minimum between: 

  * The maximum among all elements at odd indices of s. 
  * The maximum among all elements at even indices of s. 



Note that the index of an element is its index in s, rather than its index in a. The positions are numbered from 1. So, the cost of s is equal to min(max(s_1, s_3, s_5, …), max(s_2, s_4, s_6, …)).

For example, the cost of \{7, 5, 6\} is min( max(7, 6), max(5) ) = min(7, 5) = 5.

Help him find the minimum cost of a subsequence of size k.

Input

The first line contains two integers n and k (2 ≤ k ≤ n ≤ 2 ⋅ 10^5) — the size of the array a and the size of the subsequence.

The next line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 10^9) — the elements of the array a.

Output

Output a single integer — the minimum cost of a subsequence of size k.

Examples

Input


4 2
1 2 3 4


Output


1

Input


4 3
1 2 3 4


Output


2

Input


5 3
5 3 4 2 6


Output


2

Input


6 4
5 3 50 2 4 5


Output


3

Note

In the first test, consider the subsequence s = \{1, 3\}. Here the cost is equal to min(max(1), max(3)) = 1.

In the second test, consider the subsequence s = \{1, 2, 4\}. Here the cost is equal to min(max(1, 4), max(2)) = 2.

In the fourth test, consider the subsequence s = \{3, 50, 2, 4\}. Here the cost is equal to min(max(3, 2), max(50, 4)) = 3.
import java.io.*;
import java.util.*;

public class Q1 {
	private boolean check(boolean o,long arr[],int K,long val)
	{
		int no=0;
		for(int i=0;i<arr.length;i++)
		{
			if(o)
			{
				no++;
				o=false;
			}
			else
			{
				if(arr[i]<=val)
				{
					no++;
					o=true;
				}
			}
		}
		return no>=K;
	}
	private void solve(Scan scan, Print print) throws Exception {
//		int T = scan.nextInt();
//		while (T-- > 0) {
			int N = scan.nextInt();
			int K=scan.nextInt();
			long arr[] = new long[N];
			scan.next(arr);
			long l=1;
			long r=(long)1e9;
			long mid;
			long ans=Integer.MAX_VALUE;;
			while(l<=r)
			{
				mid=l+(r-l)/2;
				if(check(false, arr, K, mid) || check(true, arr, K, mid))
				{
					ans=Math.min(ans,mid);
					r=mid-1;
				}
				else
				{
					l=mid+1;
				}
			}
			print.println(ans);
		//}
	}

	public static void main(String args[]) throws Exception {
		Scan scan = new Scan();
		Print print = new Print();
		Q1 o = new Q1();
		o.solve(scan, print);
		print.close();
	}

	public static class Print {
		private final BufferedWriter bw;

		public Print() {
			this.bw = new BufferedWriter(new OutputStreamWriter(System.out));
		}

		public void print(Object object) throws IOException {
			bw.append("" + object);
		}

		public void println(Object object) throws IOException {
			print(object);
			bw.append("\n");
		}

		public void println(int object[]) throws IOException {
			print(Arrays.toString(object));
			bw.append("\n");
		}

		public void print(int object[]) throws IOException {
			print(Arrays.toString(object));
		}

		public void println(long object[]) throws IOException {
			print(Arrays.toString(object));
			bw.append("\n");
		}

		public void print(long object[]) throws IOException {
			print(Arrays.toString(object));
		}

		public void println(boolean object[]) throws IOException {
			print(Arrays.toString(object));
			bw.append("\n");
		}

		public void print(boolean object[]) throws IOException {
			print(Arrays.toString(object));
		}

		public void println(Object object[]) throws IOException {
			print(Arrays.deepToString(object));
			bw.append("\n");
		}

		public void print(Object object[]) throws IOException {
			print(Arrays.deepToString(object));
		}

		public void close() throws IOException {
			bw.close();
		}
	}

	static class Scan {
		private byte[] buf = new byte[1024 * 1024 * 4];
		private int index;
		private InputStream in;
		private int total;

		public Scan() {
			in = System.in;
		}

		public int scan() throws IOException {
			if (total < 0)
				throw new InputMismatchException();
			if (index >= total) {
				index = 0;
				total = in.read(buf);
				if (total <= 0)
					return -1;
			}
			return buf[index++];
		}

		public int nextInt() throws IOException {
			int integer = 0;
			int n = scan();
			while (isWhiteSpace(n))
				n = scan();
			int neg = 1;
			if (n == '-') {
				neg = -1;
				n = scan();
			}
			while (!isWhiteSpace(n)) {
				if (n >= '0' && n <= '9') {
					integer *= 10;
					integer += n - '0';
					n = scan();
				} else
					throw new InputMismatchException();
			}
			return neg * integer;
		}

		public double nextDouble() throws IOException {
			double doub = 0;
			int n = scan();
			while (isWhiteSpace(n))
				n = scan();
			int neg = 1;
			if (n == '-') {
				neg = -1;
				n = scan();
			}
			while (!isWhiteSpace(n) && n != '.') {
				if (n >= '0' && n <= '9') {
					doub *= 10;
					doub += n - '0';
					n = scan();
				} else
					throw new InputMismatchException();
			}
			if (n == '.') {
				n = scan();
				double temp = 1;
				while (!isWhiteSpace(n)) {
					if (n >= '0' && n <= '9') {
						temp /= 10;
						doub += (n - '0') * temp;
						n = scan();
					} else
						throw new InputMismatchException();
				}
			}
			return doub * neg;
		}

		public long nextLong() throws IOException {
			long ret = 0;
			long c = scan();
			while (c <= ' ') {
				c = scan();
			}

			boolean neg = (c == '-');
			if (neg) {
				c = scan();
			}

			do {
				ret = ret * 10 + c - '0';
			} while ((c = scan()) >= '0' && c <= '9');

			if (neg) {
				return -ret;
			}
			return ret;
		}

		public String next() throws IOException {
			StringBuilder sb = new StringBuilder();
			int n = scan();
			while (isWhiteSpace(n))
				n = scan();
			while (!isWhiteSpace(n) || n == ' ') {
				sb.append((char) n);
				n = scan();
			}
			return sb.toString();
		}

		public void next(int arr[]) throws IOException {
			for (int i = 0; i < arr.length; i++) {
				arr[i] = nextInt();
			}
		}

		public void next(long arr[]) throws IOException {
			for (int i = 0; i < arr.length; i++) {
				arr[i] = nextLong();
			}
		}

		public char[] next(char c) throws IOException {
			char arr[] = next().toCharArray();
			return arr;
		}

		private boolean isWhiteSpace(int n) {
			if (n == ' ' || n == '\n' || n == '\r' || n == '\t' || n == -1)
				return true;
			return false;
		}
	}
}