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 Rust (1.15.1) (judge verdict: Accepted)

macro_rules! input {
    ($x:expr) => {
        let mut buf = String::new();
        std::io::stdin().read_line(&mut buf).unwrap();
        $x = buf.trim().parse().unwrap();
    };

    ($x:expr, $($y:expr), +) => {
        let mut buf = String::new();
        std::io::stdin().read_line(&mut buf).ok();
        input_iter!(buf.split_whitespace(), $x, $($y), +);
    };

    ($v:expr; $size:expr) => {
        let mut buf = String::new();
        std::io::stdin().read_line(&mut buf).ok();
        for v in buf.split_whitespace() {
            $v.push(v.parse().unwrap());
        }
    };

    ($v:expr; $h_size:expr, $w_size:expr) => {
        for _ in 0..$h_size {
            let mut part_vec = Vec::new();
            let mut buf = String::new();
            std::io::stdin().read_line(&mut buf).ok();
            for v in buf.split_whitespace() {
                part_vec.push(v.parse().unwrap());
            }
            $v.push(part_vec);
        }
    };
}

#[allow(unused_macros)]
macro_rules! input_iter {
    ($iter:expr, $x:expr) => {
        $x = $iter.next().unwrap().parse().unwrap();
    };

    ($iter:expr, $x:expr, $($y:expr), +) => {
        let mut iter = $iter;
        $x = iter.next().unwrap().parse().unwrap();
        input_iter!(iter, $($y), *);
    };
}

fn main() {
    let _n: i32;
    input!(_n);
    let mut v: Vec<i32> = Vec::new();
    let mut c: Vec<i32> = Vec::new();
    let mut val: Vec<i32> = Vec::new();
    input!(v; _n);
    input!(c; _n);
    for i in 0..(_n as usize) {
        val.push(v[i] - c[i]);
    }
    val.sort();
    val.reverse();
    let mut ans = 0;
    for v in val {
        if v < 0 {
            break;
        }
        ans += v;
    }
    println!("{}", ans);
}