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# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using static Exter;
using System.Linq;
#if DEBUG
#else
using console = System.Console;
#endif

public class App
{
    public static void Main(string[] args)
    {
        console.ReadLine();
        cout = readarr.Zip(readarr,(a,b)=>a-b).Where(s=>s>0).Sum();
    }
}
public static class Exter
{
    public static void rep(int loop,Action<int> act)
    {
        for(int i=0;i<loop;i++)
            act(i);
    }
    public static int ToInt(this string v)=>int.Parse(v);
    public static int Max(params int[] p)=>p.Max();
    public static long Max(params long[] p)=>p.Max();
    public static int Min(params int[] p)=>p.Min();
    public static long Min(params long[] p)=>p.Min();
    public static object cout
    {
        set
        {
            console.Write(value.ToString());
            console.WriteLine();
            
        }
    }
    public static int[] readarr
    {
        get 
        {
            preadarr = console.ReadLine().Split().Select(s=>int.Parse(s)).ToArray();
            return preadarr;
        }
    }
    public static int[] preadarr;
}