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++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include<iostream>
#include<vector>
using namespace std;
int main(){
int n,max=0,ans1=0,ans2=0;
  cin>>n;
  vector<int> a(n);
  vector<int> b(n);
  int i,j;
  for(i=0;i<n;i++){
    cin>>a[i];
  }
  for(i=0;i<n;i++){
   cin>>b[i];
  }
  for(i=0;i<n-1;i++){
    for(j=i+1;j<n;j++){
      ans1=a[i]+a[j];
      ans2=b[i]+b[j];
     
      if(ans1-ans2>max) max=ans1-ans2;
    }
  }
  cout<<max<<endl;
  return 0;
}