codeforces 667B B. Coat of Anticubism(水题)

题目链接：

B. Coat of Anticubism

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

 

As some of you know, cubism is a trend in art, where the problem of constructing volumetrical shape on a plane with a combination of three-dimensional geometric shapes comes to the fore.

A famous sculptor Cicasso, whose self-portrait you can contemplate, hates cubism. He is more impressed by the idea to transmit two-dimensional objects through three-dimensional objects by using his magnificent sculptures. And his new project is connected with this. Cicasso wants to make a coat for the haters of anticubism. To do this, he wants to create a sculpture depicting a well-known geometric primitive — convex polygon.

Cicasso prepared for this a few blanks, which are rods with integer lengths, and now he wants to bring them together. The i-th rod is a segment of length li.

The sculptor plans to make a convex polygon with a nonzero area, using all rods he has as its sides. Each rod should be used as a side to its full length. It is forbidden to cut, break or bend rods. However, two sides may form a straight angle .

Cicasso knows that it is impossible to make a convex polygon with a nonzero area out of the rods with the lengths which he had chosen. Cicasso does not want to leave the unused rods, so the sculptor decides to make another rod-blank with an integer length so that his problem is solvable. Of course, he wants to make it as short as possible, because the materials are expensive, and it is improper deed to spend money for nothing.

Help sculptor!

Input

 

The first line contains an integer n (3 ≤ n ≤ 105) — a number of rod-blanks.

The second line contains n integers li (1 ≤ li ≤ 109) — lengths of rods, which Cicasso already has. It is guaranteed that it is impossible to make a polygon with n vertices and nonzero area using the rods Cicasso already has.

Output

 

Print the only integer z — the minimum length of the rod, so that after adding it it can be possible to construct convex polygon with(n + 1) vertices and nonzero area from all of the rods.

Examples

input

3
1 2 1

output

1

input

5
20 4 3 2 1

output

11

Note

In the first example triangle with sides {1 + 1 = 2, 2, 1} can be formed from a set of lengths {1, 1, 1, 2}.

In the second example you can make a triangle with lengths {20, 11, 4 + 3 + 2 + 1 = 10}.

题意：

给出这些不能形成凸多边形的边,问至少加多长才能形成凸多边形;

思路：

不能形成凸多边形说明最长的那条边太长,所以把除了最长边的其它边加在一起再加上答案使其比最长边大一就行;

AC代码:

#include <bits/stdc++.h>
using namespace std;
typedef long long LL;
const LL mod=1e9+7;
const int N=1e5+6;
const int inf=0x3f3f3f3f;
const double PI=acos(-1.0);
int a[N];
int main()
{
    int n;
    scanf("%d",&n);
    for(int i=1;i<=n;i++)
    {
        scanf("%d",&a[i]);
    }
    sort(a+1,a+n+1);
    LL sum=0;
    for(int i=1;i<n;i++)
    {
        sum+=(LL)a[i];
    }
    cout<<a[n]-sum+1<<"
";
   // printf("%I64d
",a[n]-sum+1);


    return 0;
}