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: Accepted)

#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for(int i = 0; i < n; i++)
#define rrep(i, n) for(int i = n; i >= 0; i--)
#define FOR(i, m, n) for(int i = m; i < n; i++)
#define ALL(x) (x).begin(),(x).end()
#define pb push_back
#define mp make_pair
#define INF9 1000000000 //10^9
#define MOD 1000000007 //10^9+7
#define fi first
#define sc second
using ll=long long;
using pii=pair<ll,ll>;
using vi=vector<int>;

int main() {
    int n; cin >> n;
    int ans = 0;
    vi vs(n),cs(n);
    rep(i,n) cin >> vs.at(i);
    rep(i,n) cin >> cs.at(i);
    rep(i,n) {
        int v = vs.at(i); int c = cs.at(i);
        if(v > c) ans += v-c;
    }
    cout << ans << endl;
    return 0;
}