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#F2704. Shooshuns and Sequence

    ID: 2710 传统题 2000ms 256MiB 尝试: 0 已通过: 0 难度: 2 上传者: 标签>枚举模拟算法思想编程与模拟基础难度共享题库Codeforces英文题面题目来源题面语言

Shooshuns and Sequence

题目描述

A. Shooshuns and Sequence
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

One day shooshuns found a sequence of n integers, written on a blackboard. The shooshuns can perform one operation with it, the operation consists of two steps:

  1. Find the number that goes k-th in the current sequence and add the same number to the end of the sequence;
  2. Delete the first number of the current sequence.

The shooshuns wonder after how many operations all numbers on the board will be the same and whether all numbers will ever be the same.

Input

The first line contains two space-separated integers n and k (1≤kn≤105).

The second line contains n space-separated integers: a1,a2,...,an (1≤ai≤105) − the sequence that the shooshuns found.

Output

Print the minimum number of operations, required for all numbers on the blackboard to become the same. If it is impossible to achieve, print -1.

Examples
Input
3 2
3 1 1
Output
1
Input
3 1
3 1 1
Output
-1
Note

In the first test case after the first operation the blackboard will have sequence [1, 1, 1]. So, one operation is enough to make all numbers the same. Thus, the answer equals one.

In the second test case the sequence will never consist of the same numbers. It will always contain at least two distinct numbers 3 and 1. Thus, the answer equals -1.


题目来源:fps-www.educg.net-codeforce-1-2833.xml.zip;FPS 共享题包,题包内第 2370 题。保留原作者与原赛事署名。