Problem:
Score : 300 points

Problem Statement

You are given N positive integers a_1, a_2, ..., a_N.

For a non-negative integer m, let f(m) = (m\ mod\ a_1) + (m\ mod\ a_2) + ... + (m\ mod\ a_N).

Here, X\ mod\ Y denotes the remainder of the division of X by Y.

Find the maximum value of f.

Constraints

All values in input are integers.

2 \leq N \leq 3000

2 \leq a_i \leq 10^5

Input

Input is given from Standard Input in the following format:

N
a_1 a_2 ... a_N

Output

Print the maximum value of f.

Sample Input 1

3
3 4 6

Sample Output 1

10

f(11) = (11\ mod\ 3) + (11\ mod\ 4) + (11\ mod\ 6) = 10 is the maximum value of f.

Sample Input 2

5
7 46 11 20 11

Sample Output 2

90

Sample Input 3

7
994 518 941 851 647 2 581

Sample Output 3

4527

Solution in C# (Mono 4.6.2.0) (judge verdict: Wrong Answer)

using System;
using System.Linq;

namespace AtCoder
{
    class Program
    {
        static void Main(string[] args)
        {
            MainStream();
        }
        static void MainStream()
        {
            int n = int.Parse(Console.ReadLine());
            string[] a_list_tmp = Console.ReadLine().Split(' ');
            long[] a_list = a_list_tmp.Select(s => long.Parse(s)).ToArray();

            Array.Sort(a_list);

            long lcm = a_list[0];
            for(int i=1; i<n; i++)
            {
                lcm = Lcm(lcm, a_list[i]);
            }

            long max = 0;

            for (long i=1; i<lcm; i++)//ここのnを最小公倍数にする
            {
                long sum = 0;
                for(int j=0; j<n; j++)
                {
                    sum += (i % a_list[j]);
                }
                if(sum > max)
                {
                    max = sum;
                }
            }
            Console.WriteLine(max);
        }

        static long Gcd(long a, long b)//最大公約数
        {
            return (a < b) ? Gcd(b, a) : (b > 0) ? Gcd(b, a % b) : a;
        }

        static long Lcm(long a, long b)//最小公倍数
        {
            return a / Gcd(a, b) * b;
        }
    }
}