Package for this problem was not updated by the problem writer or Codeforces administration after we’ve upgraded the judging servers. To adjust the time limit constraint, solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then value 800 ms will be displayed and used to determine the verdict.

Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ACM-ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

B. Squares

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputVasya has found a piece of paper with a coordinate system written on it. There are *n* distinct squares drawn in this coordinate system. Let's number the squares with integers from 1 to *n*. It turned out that points with coordinates (0, 0) and (*a*_{i}, *a*_{i}) are the opposite corners of the *i*-th square.

Vasya wants to find such integer point (with integer coordinates) of the plane, that belongs to exactly *k* drawn squares. We'll say that a point belongs to a square, if the point is located either inside the square, or on its boundary.

Help Vasya find a point that would meet the described limits.

Input

The first line contains two space-separated integers *n*, *k* (1 ≤ *n*, *k* ≤ 50). The second line contains space-separated integers *a*_{1}, *a*_{2}, ..., *a*_{n} (1 ≤ *a*_{i} ≤ 10^{9}).

It is guaranteed that all given squares are distinct.

Output

In a single line print two space-separated integers *x* and *y* (0 ≤ *x*, *y* ≤ 10^{9}) — the coordinates of the point that belongs to exactly *k* squares. If there are multiple answers, you are allowed to print any of them.

If there is no answer, print "-1" (without the quotes).

Examples

Input

4 3

5 1 3 4

Output

2 1

Input

3 1

2 4 1

Output

4 0

Input

4 50

5 1 10 2

Output

-1

Codeforces (c) Copyright 2010-2017 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Oct/21/2017 18:54:38 (c4).

Desktop version, switch to mobile version.

User lists

Name |
---|