Problem:
Score : 300 points

Problem Statement

Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it.

They will share these cards.
First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards.
Here, both Snuke and Raccoon have to take at least one card.

Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively.
They would like to minimize |x-y|.
Find the minimum possible value of |x-y|.

Constraints

2 \leq N \leq 2 \times 10^5

-10^{9} \leq a_i \leq 10^{9}

a_i is an integer.

Input

Input is given from Standard Input in the following format:

N
a_1 a_2 ... a_{N}

Output

Print the answer.

Sample Input 1

6
1 2 3 4 5 6

Sample Output 1

1

If Snuke takes four cards from the top, and Raccoon takes the remaining two cards, x=10, y=11, and thus |x-y|=1. This is the minimum possible value.

Sample Input 2

2
10 -10

Sample Output 2

20

Snuke can only take one card from the top, and Raccoon can only take the remaining one card. In this case, x=10, y=-10, and thus |x-y|=20.

Solution in C# (Mono-mcs 6.8.0.105) (judge verdict: Accepted)

using System;
using System.Linq;
using System.Collections.Generic;
using System.IO;
using static System.Console;
using System.Numerics;
using System.Text.RegularExpressions;
using System.Runtime.Serialization.Formatters.Binary;

namespace atcorder2
{
    [Serializable]
    static class Program
    {
        public static long Read()
        {
            return long.Parse(Console.ReadLine());
        }

        public static long[] Reads()
        {
            return Console.ReadLine().Split().Select(long.Parse).ToArray();
        }


        public static long Gcd(long x, long y)
        {
            if (x < y) Gcd(y, x);
            while (y > 0)
            {
                var z = x;
                x = y;
                y = z % y;
            }
            return x;
        }

        public static long Lcm(long x, long y)
        {
            return x * y / Lcm(x, y);
        }

        public static bool IsLowercaseAlphabet(char target)
        {
            return new Regex("^[a-z]+$").IsMatch(target.ToString());
        }

        public static T DeepCopy<T>(this T src)
        {
            using (var memoryStream = new MemoryStream())
            {
                var binaryFormatter = new BinaryFormatter();
                binaryFormatter.Serialize(memoryStream, src);
                memoryStream.Seek(0, System.IO.SeekOrigin.Begin);
                return (T)binaryFormatter.Deserialize(memoryStream);
            }
        }


        public static bool Prime(long n)
        {
            if (n < 2) return false;
            else if (n == 2) return true;
            else if (n % 2 == 0) return false;

            for (int i = 3; i <= Math.Sqrt(n); i++)
            {
                if (n % i == 0) return false;
            }
            return true;
        }


        public static int UpperBound<T>(T[] a, T v)
        {
            return UpperBound(a, v, Comparer<T>.Default);
        }

        public static int UpperBound<T>(T[] a, T v, Comparer<T> cmp)
        {
            var l = 0;
            var r = a.Length - 1;
            while (l <= r)
            {
                var mid = l + (r - 1) / 2;
                var res = cmp.Compare(a[mid], v);
                if (res <= 0) l = mid + 1;
                else r = mid - 1;
            }
            return l;
        }
        public static int LowerBound<T>(T[] a, T v)
        {
            return LowerBound(a, v, Comparer<T>.Default);
        }

        public static int LowerBound<T>(T[] a, T v, Comparer<T> cmp)
        {
            var l = 0;
            var r = a.Length - 1;
            while (l <= r)
            {
                var mid = l + (r - 1) / 2;
                var res = cmp.Compare(a[mid], v);
                if (res == -1) l = mid + 1;
                else r = mid - 1;
            }
            return l;
        }

        /*public static int LowerBound<T>(T[] a, T v, int start, Comparer<T> cmp)
        {
            var l = start;
            var r = a.Length - 1;
            while (l < r)
            {
                var mid = ((r - l) >> 1) + l;

                if (cmp.Compare(a[mid], v) < 0) l = mid + 1;
                else r = mid;
            }
            return l;
        }*/
        public static int LowerBound(long[] a, long v)
        {
            var l = -1;
            var r = a.Length;
            while (r - l > 1)
            {
                var mid = (l + r) / 2;
                if (a[mid] >= v) r = mid;
                else l = mid;
            }
            return r;
        }
        public static  bool LowerBoundf(long[] a, long v)
        {
            var l = -1;
            var r = a.Length;
            var f = false;
            while (r - l > 1)
            {
                var mid = (l + r) / 2;
                if (a[mid] >= v)
                {
                    r = mid;
                    f = true;
                }
                else l = mid;
            }
            return f;
        }

        static void Main(string[] args)
        {
            var sw = new StreamWriter(OpenStandardOutput()) { AutoFlush = false };
            SetOut(sw);



            var n = Read();
            var a = Reads();
            long x = a[0];
            long y = a.Sum() - x;
            long min = Math.Abs(x - y);

            for (int i = 1; i < n-1; i++)
            {
                x += a[i];
                y -= a[i];
                min =Math.Min(min, Math.Abs(x - y));
            }
            WriteLine(min);


            Out.Flush();
        }
    }
}