GlobeX Cup '19 J1 - Chess Master Winnie

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Points: 3 (partial)
Time limit: 2.0s
Memory limit: 64M

Problem type

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.


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


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.


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