Problem:
Score : 200 points

Problem Statement

There are N gems. The value of the i-th gem is V_i.

You will choose some of these gems, possibly all or none, and get them.

However, you need to pay a cost of C_i to get the i-th gem.

Let X be the sum of the values of the gems obtained, and Y be the sum of the costs paid.

Find the maximum possible value of X-Y.

Constraints

All values in input are integers.

1 \leq N \leq 20

1 \leq C_i, V_i \leq 50

Input

Input is given from Standard Input in the following format:

N
V_1 V_2 ... V_N
C_1 C_2 ... C_N

Output

Print the maximum possible value of X-Y.

Sample Input 1

3
10 2 5
6 3 4

Sample Output 1

5

If we choose the first and third gems, X = 10 + 5 = 15 and Y = 6 + 4 = 10.
We have X-Y = 5 here, which is the maximum possible value.

Sample Input 2

4
13 21 6 19
11 30 6 15

Sample Output 2

6

Sample Input 3

1
1
50

Sample Output 3

0

Solution in C# (.NET Core 3.1.201) (judge verdict: Accepted)

using System;
using System.Collections;
using System.Collections.Generic;
using System.Linq;
using static System.Console;

class Program
{
    static void Main(string[] args)
    {
        var N = int.Parse(ReadLine());
        var V = ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();
        var C = ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();

        var ans = int.MinValue;

        for (int pattern = 0; pattern < (1 << N); pattern++)
        {
            var X = 0;
            var Y = 0;
            for (int i = 0; i < N; i++)
            {
                if((pattern & (1 << i)) != 0)
                {
                    X += V[i];
                    Y += C[i];
                }
            }

            ans = Math.Max(ans, X - Y);
        }

        WriteLine(ans);
    }
}