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 JavaScript (Node.js 12.16.1) (judge verdict: Accepted)

function main(arg) {
  const lines = arg.trim().split('\n');
  const N = parseInt(lines[0]);
  const V = lines[1].split(' ').map((x) => parseInt(x));
  const C = lines[2].split(' ').map((x) => parseInt(x));
  let ans = 0;
  for (let i = 0; i < 2 ** N; i++) {
    let res = 0;
    for (let j = 0; j < N; j++) {
      if ((i >> j) & (1 === 1)) {
        res += V[j] - C[j];
      }
    }
    if (res > ans) {
      ans = res;
    }
  }
  console.log(ans);
}
main(require('fs').readFileSync('/dev/stdin', 'utf8'));