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.

Examples

Input

3
10 2 5
6 3 4


Output

5


Input

4
13 21 6 19
11 30 6 15


Output

6


Input

1
1
50


Output

0
import java.util.Scanner;

class Main {
  public static void main(String[] args) {
    Scanner sc = new Scanner(System.in);
    int n;
    n = sc.nextInt();
    int v[] = new int[n];
    int c[] = new int[n];
    int m=0;
    for(int i=0;i<n;i++){
    	v[i]=sc.nextInt();
    }
    for(int i=0;i<n;i++){
    	c[i]=sc.nextInt();
    }
    for(int i=0;i<n;i++){
    	if(v[i] - c[i] > 0){
    		m += v[i] -c[i];
    	}
    }
    System.out.println(m);
  }
}