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.

3
3 1 2
2 5 4
3 6

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.

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

74

2
1 2
50 50
50

150