Winnie has become the best person on earth in chess, however she wants to be the best chess player in the universe. Winnie has decided to create a spaceship and participate in an intergalactic chess tournament. She is participating in a tournament with $N$ other aliens. Winnie has a rating in chess, a number that approximates her skill level. Her current rating is $M$. If Winnie wins a game, she will gain $A$ rating. If Winnie loses, she will lose $B$ rating. Winnie will play $C$ games at this tournament. Each alien is numbered from $1$ to $N$. Winnie will always lose against some alien, but will always win against others. Help Winnie determine her rating after the tournament.

Input Specification

The first line of input will contain $5$ integers $N$, $M$, $A$, $B$, $C$.

The next line of input will contain $N$ integers that are either 1 or 0. 1 indicates that Winnie can always beat the $X_i^{\text{th}}$ alien, and 0 indicates that Winnie will always lose against the $X_i^{\text{th}}$ alien.

The next line of input will contain $C$ integers $Y_i$. $Y_i$ is the $i^{\text{th}}$ opponent Winnie will face.

If Winnie is very unlucky, her rating can be negative during and after the tournament.

Output Specification

Output Winnie's rating after the tournament.

Constraints

$1\le N,M,A,B,C\le {10}^3$
$1\le Y_i\le N$

Sample Input 1

3 3 3 3 4
1 0 1
3 2 2 1

Sample Output 1

3

Explanation 1

Winnie will win against players 1 and 3, but will lose against player 2 twice. Since she gains the same rating for winning as for losing, her rating will not change and stay at 3.