CodeForces - 262C 贪心

Maxim always goes to the supermarket on Sundays. Today the supermarket has a special offer of discount systems.

There are m types of discounts. We assume that the discounts are indexed from 1 to m. To use the discount number i, the customer takes a special basket, where he puts exactly q_i items he buys. Under the terms of the discount system, in addition to the items in the cart the customer can receive at most two items from the supermarket for free. The number of the "free items" (0, 1 or 2) to give is selected by the customer. The only condition imposed on the selected "free items" is as follows: each of them mustn't be more expensive than the cheapest item out of the q_i items in the cart.

Maxim now needs to buy n items in the shop. Count the minimum sum of money that Maxim needs to buy them, if he use the discount system optimally well.

Please assume that the supermarket has enough carts for any actions. Maxim can use the same discount multiple times. Of course, Maxim can buy items without any discounts.

Input

The first line contains integer m (1 ≤ m ≤ 10⁵) — the number of discount types. The second line contains m integers: q₁, q₂, ..., q_m (1 ≤ q_i ≤ 10⁵).

The third line contains integer n (1 ≤ n ≤ 10⁵) — the number of items Maxim needs. The fourth line contains n integers: a₁, a₂, ..., a_n (1 ≤ a_i ≤ 10⁴) — the items' prices.

The numbers in the lines are separated by single spaces.

Output

In a single line print a single integer — the answer to the problem.

Examples

Input

1
2
4
50 50 100 100

Output

200

Input

2
2 3
5
50 50 50 50 50

Output

150

Input

1
1
7
1 1 1 1 1 1 1

Output

3

Note

In the first sample Maxim needs to buy two items that cost 100 and get a discount for two free items that cost 50. In that case, Maxim is going to pay 200.

In the second sample the best strategy for Maxim is to buy 3 items and get 2 items for free using the discount. In that case, Maxim is going to pay 150.

 

这个题是说买PI件商品，送0-2件商品，送的价格不能超过买的最低价格。

那我每次选最小的PI去满足，然后每次都赠两个，排序是的一定符合买的比送的便宜，那么一定是最优，至于为什么，看证明！

物品：A1 A2 A3 A4 A5 (排序后结果）

Pi 为2 或 3

当我们买2个送两个再买一个，这五件的花费是A1+A2+A5

当我们买3个送两个，这五件的花费是 A1+A2+A3 必然大于等于前者，可以通过数学归纳法证明N与N+M的关系，进而证明该种贪心策略的正确性。

#include<iostream>
#include<queue>
#include<algorithm>
#include<set>
#include<cmath>
#include<vector>
#include<map>
#include<stack>
#include<bitset>
#include<cstdio>
#include<cstring>
//---------------------------------Sexy operation--------------------------//

#define cini(n) scanf("%d",&n)
#define cinl(n) scanf("%lld",&n)
#define cinc(n) scanf("%c",&n)
#define cins(s) scanf("%s",s)
#define coui(n) printf("%d",n)
#define couc(n) printf("%c",n)
#define coul(n) printf("%lld",n)
#define speed ios_base::sync_with_stdio(0)
#define file  freopen("input.txt","r",stdin);freopen("output.txt","w",stdout)
//-------------------------------Actual option------------------------------//

#define Swap(a,b) a^=b^=a^=b
#define Max(a,b) a>b?a:b
#define Min(a,b) a<b?a:b
#define mem(n,x) memset(n,x,sizeof(n))
#define mp(a,b) make_pair(a,b)
//--------------------------------constant----------------------------------//

#define INF  0x3f3f3f3f
#define maxn  100010
#define esp  1e-9
using namespace std;
typedef long long ll;
typedef pair<int,int> PII;
//------------------------------Dividing Line--------------------------------//
int n,m,k;
int b[maxn];
int a[maxn];
bool cmp(int a,int b)
{
    return a>b;
}
int main()
{
    cini(m);
    for(int i=0;i<m;i++) cini(a[i]);
    cini(n);
    for(int i=0;i<n;i++) cini(b[i]);
    sort(a,a+m);
    sort(b,b+n,cmp);
    long long ans=0;
    int t=0;
    //cout<<a[0]<<endl;
    for(int i=0;i<n;i++)
    {
        if(t<a[0]) ans+=b[i],t++;
        else {
            t=0;
            i+=1;
        }
    }
    cout<<ans<<endl;
}