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.