Vasya 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.
输入描述:
The first line contains two space-separated integers n, k(1 ≤ n, k ≤ 50). The second line contains space-separated integers a1, a2, ..., an(1 ≤ ai ≤ 109).It is guaranteed that all given squares are distinct.


输出描述:
In a single line print two space-separated integers x and y(0 ≤ x, y ≤ 109) — 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).
示例1

输入

4 3<br />5 1 3 4<br />3 1<br />2 4 1<br />4 50<br />5 1 10 2<br />

输出

2 1<br />4 0<br />-1<br />
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