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: Wrong Answer)

fn read<T: std::str::FromStr>() -> T {
  let mut s = String::new();
  std::io::stdin().read_line(&mut s).ok();
  s.trim().parse().ok().unwrap()
}

fn read_vec<T: std::str::FromStr>() -> Vec<T> {
  let mut s = String::new();
  std::io::stdin().read_line(&mut s).ok();
  s.trim().split_whitespace()
    .map(|e| e.parse().ok().unwrap()).collect()
}
 
fn main() {
  let _: String = read();
  let vs: Vec<i32> = read_vec();
  let cs: Vec<i32> = read_vec();

  let mut p: Vec<i32> = vs.iter().zip(cs.iter())
    .map(|(x, y)| x - y)
    .collect();
  p.sort();
  p.reverse();

  let ans = if p[0] < 0 {
    0
  } else if p.len() == 1 || p.len() <= 2 && p[1] < 0 {
    p[0]
  } else if p[1] < 0 {
    p[0]
  } else {
    p[0] + p[1]
  };

  println!("{}", ans);
}