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)

use std::io::*;
use std::str::FromStr;

fn solve(n: u32, vs: Vec<u32>, cs: Vec<u32>) -> i32{
    let mut result: i32 = 0;
    let mut comb: i32 = (1 << n) - 1;
    while(comb >= 0) {
        let mut x:i32 = 0;
        let mut y:i32 = 0;
        let mut index: usize = 0;
        while index < (n as usize) {
            let bit = 1 << index;
            if (comb & bit) != 0 {
                x += vs[index] as i32;
                y += cs[index] as i32;
            }
            index += 1;
        }
        if result < x - y {
            result = x - y;
        }
        comb -= 1;
    }
    result
}

fn main() {
    let mut buf = String::new();
    std::io::stdin().read_to_string(&mut buf).unwrap();
    let mut iter = buf.split_whitespace();

    let n: u32 = iter.next().unwrap().parse().unwrap();
    let vs: Vec<u32> = (0..n)
        .map(|_| {
            iter.next().unwrap().parse().unwrap()
        }).collect();
    let cs: Vec<u32> = (0..n)
        .map(|_| {
            iter.next().unwrap().parse().unwrap()
        }).collect();
    println!("{}", solve(n, vs, cs));
}