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 other aliens. Winnie has a rating in chess, a number that approximates her skill level. Her current rating is . If Winnie wins a game, she will gain rating. If Winnie loses, she will lose rating. Winnie will play games at this tournament. Each alien is numbered from to . 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 integers , , , , .

The next line of input will contain integers that are either `1`

or `0`

. `1`

indicates that Winnie can always beat the alien, and `0`

indicates that Winnie will always lose against the alien.

The next line of input will contain integers . is the 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

#### 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.

## Comments