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 Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.util.*;
import java.io.*;

public class Main{
    public static int gojo(int a,int b){
        if(a%b==0)return b;
        return gojo(b,a%b);
    }
    public static void main(String[] args)throws IOException{
        Scanner sc=new Scanner(System.in);
        int n=sc.nextInt();
        int[] ary=new int[n];
        for(int i=0;i<n;i++)ary[i]=sc.nextInt();
        sc.close();
        int maxnum=0;
        for(int i=0;i<n-1;i++){
            for(int j=i+1;j<n;j++){
                if(maxnum<gojo(Math.max(ary[i],ary[j]),Math.min(ary[i],ary[j]))){
                    maxnum=gojo(Math.max(ary[i],ary[j]),Math.min(ary[i],ary[j]));
                }
            }
        }
        System.out.println(maxnum+"\n");
    }
}