Problem:
Score : 200 points

Problem Statement

Takahashi went to an all-you-can-eat buffet with N kinds of dishes and ate all of them (Dish 1, Dish 2, \ldots, Dish N) once.

The i-th dish (1 \leq i \leq N) he ate was Dish A_i.

When he eats Dish i (1 \leq i \leq N), he gains B_i satisfaction points.

Additionally, when he eats Dish i+1 just after eating Dish i (1 \leq i \leq N - 1), he gains C_i more satisfaction points.

Find the sum of the satisfaction points he gained.

Constraints

All values in input are integers.

2 \leq N \leq 20

1 \leq A_i \leq N

A_1, A_2, ..., A_N are all different.

1 \leq B_i \leq 50

1 \leq C_i \leq 50

Input

Input is given from Standard Input in the following format:

N
A_1 A_2 ... A_N
B_1 B_2 ... B_N
C_1 C_2 ... C_{N-1}

Output

Print the sum of the satisfaction points Takahashi gained, as an integer.

Sample Input 1

3
3 1 2
2 5 4
3 6

Sample Output 1

14

Takahashi gained 14 satisfaction points in total, as follows:

First, he ate Dish 3 and gained 4 satisfaction points.

Next, he ate Dish 1 and gained 2 satisfaction points.

Lastly, he ate Dish 2 and gained 5 + 3 = 8 satisfaction points.

Sample Input 2

4
2 3 4 1
13 5 8 24
45 9 15

Sample Output 2

74

Sample Input 3

2
1 2
50 50
50

Sample Output 3

150

Solution in C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Linq;

namespace AtCoder
{
    class Program
    {
        static void Main(string[] args)
        {
            int number = int.Parse(Console.ReadLine());
            int[] inputAs = Console.ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();
            int[] inputBs = Console.ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();
            int[] inputCs = Console.ReadLine().Split(' ').Select(s => int.Parse(s)).ToArray();

            // 先に C のうちポイントになるものを抽出
            int bonus = 0;
            for (int i = 0; i < number - 1; i++)
            {
                // 連続した番号のメニューを食べていた場合、
                if(inputAs[i + 1] - inputAs[i] == 1)
                {
                    // A は 1 ～ n の値で表現されるので、 C の index とは１ずれる。
                    bonus += inputCs[inputAs[i] - 1];
                }
            }

            // 後は料理単体の満足度だけど、こいつ常に全メニュー食ってるな
            int satisfaction = inputBs.Sum();

            Console.WriteLine((bonus + satisfaction).ToString());
        }
    }
}