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 C# (Mono 4.6.2.0) (judge verdict: Wrong Answer)

using System;
public class Solution{
public static void Main(){
  		string line1 = Console.ReadLine();
  		string line2 = Console.ReadLine();
  		string line3 = Console.ReadLine();
  		string[] value = line2.Split(' ');
  		string[] cost = line3.Split(' ');
  		int N = Convert.ToInt32(line1);
  		int sum = 0;
  		bool allNeg = true;
  		
  		if(N == 1)
        {
          sum = Convert.ToInt32(value[0]) - Convert.ToInt32(cost[0]);
        }
  else
  {
  		
  			for(int i=0; i<N;i++)
        	{  		
          		if(Convert.ToInt32(value[i]) - Convert.ToInt32(cost[i]) > 0)
                {
                  allNeg = false;
                  sum += Convert.ToInt32(value[i]) - Convert.ToInt32(cost[i]);
                }
        	}
      
  }        
  		if(allNeg)
        {
          sum = Convert.ToInt32(value[0]) - Convert.ToInt32(cost[0]);
          for(int i=0; i<N;i++)
          {
            if(Convert.ToInt32(value[i]) - Convert.ToInt32(cost[i]) > sum)
            {
              sum = Convert.ToInt32(value[i]) - Convert.ToInt32(cost[i]);
            }
          }
        }
  		Console.WriteLine(sum);
}

}