CodeForces 604B More Cowbell

本文介绍了一个关于计算最小箱容量的问题,Kevin需要将他的牛铃收藏品装入固定数量的箱子中,每个箱子最多只能装两个牛铃。文章提供了完整的代码实现,并通过样例输入输出展示了如何解决这个问题。

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因为读错题没有思路,没能正确求解。题目中说一个箱子最多能装俩,我却没看到。

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 si. In fact, he keeps his cowbells sorted by size, so si - 1 ≤ si 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, ..., sn (1 ≤ s1 ≤ s2 ≤ ... ≤ sn ≤ 1 000 000), the sizes of Kevin's cowbells. It is guaranteed that the sizes si 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

Sample Output

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}.


AC代码:

#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <algorithm>
#include <cstring>
using namespace std;
//#define LOCAL
#define MAX_N 100000

int BOX[MAX_N];
int main()
{
	#ifdef LOCAL
		freopen("b:\\data.in.txt", "r", stdin);
	#endif

    int n , k;
    cin >> n >> k;
    for(int i = 0; i < n; i++)
    {
        cin >> BOX[i] ;
    }
    //先给ans最大的量
    int ans = BOX[ n - 1 ];
    if( n <= k)
        cout << ans << endl ;
    else
    {
        //n > k && n <= 2*k时
        int len = n - k ;//记录前向遍历的长度
        int j = len ;
        for(int i = len-1 ; i >= 0 ; i--)
        {
            ans = max( ans , BOX[i] + BOX[j++] );
        }
        cout << ans << endl ;
    }

    return 0;
}


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