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 v5.12) (judge verdict: Accepted)

function Main(input) {
  "use strict";
	const lines = input.split("\n");
  const n = parseInt(lines[0], 10);
  const vs = lines[1].split(" ").map(s => parseInt(s, 10));
  const cs = lines[2].split(" ").map(s => parseInt(s, 10));
  const diffs = vs.map( (v, i) => v - cs[i]).filter(d => d > 0)
    
  console.log(diffs.reduce((acc, d) => acc + d, 0))
}
Main(require("fs").readFileSync("/dev/stdin", "utf8"));