Description

Kevin Sun wants to move his precious collection of n cowbells from Naperthrill to Exeter, where there is actually grass instead of corn. Before moving, he must pack his cowbells into k boxes of a fixed size. In order to keep his collection safe during transportation, he won't place more than two cowbells into a single box. Since Kevin wishes to minimize expenses, he is curious about the smallest size box he can use to pack his entire collection.

Kevin is a meticulous cowbell collector and knows that the size of his i-th (1 ≤ i ≤ n) cowbell is an integer s_i. In fact, he keeps his cowbells sorted by size, so s_{i - 1} ≤ s_i for any i > 1. Also an expert packer, Kevin can fit one or two cowbells into a box of size s if and only if the sum of their sizes does not exceed s. Given this information, help Kevin determine the smallest s for which it is possible to put all of his cowbells into k boxes of size s.

Input

The first line of the input contains two space-separated integers n and k (1 ≤ n ≤ 2·k ≤ 100 000), denoting the number of cowbells and the number of boxes, respectively.

The next line contains n space-separated integers s₁, s₂, ..., s_n (1 ≤ s₁ ≤ s₂ ≤ ... ≤ s_n ≤ 1 000 000), the sizes of Kevin's cowbells. It is guaranteed that the sizes s_i are given in non-decreasing order.

Output

Print a single integer, the smallest s for which it is possible for Kevin to put all of his cowbells into k boxes of size s.

Sample Input

Input

2 1

2 5

Output

7

Input

4 3

2 3 5 9

Output

9

Input

3 2

3 5 7

Output

8

Hint

In the first sample, Kevin must pack his two cowbells into the same box.

In the second sample, Kevin can pack together the following sets of cowbells: {2, 3}, {5} and {9}.

In the third sample, the optimal solution is {3, 5} and {7}.

题意是给n个牛铃和k个箱子，每个箱子可以装1~2个牛铃，每个牛铃大小不同，所有箱子都是s容量，求最小的s可以装所有的牛铃。

贪心，读入的数据已经排好，将k个牛铃放进k个箱子，每个箱子一个，那么还有n-k个牛铃必须放到已经装有1个的箱子里，那么就有n-k个箱子是装两个的。我们让只装一个牛铃的箱子尽量装大的，要装两个的箱子，装最小的（n-k）*2个里面最大的和最小的，第二大和第二小……

#include
     
      #include
      
       using namespace std;long long n,k,s[100005],maxs;int main(){    scanf("%lld%lld",&n,&k);    for(long long i=0;i