Problem: There is a hotel with the following accommodation fee:

* X yen (the currency of Japan) per night, for the first K nights
* Y yen per night, for the (K+1)-th and subsequent nights



Tak is staying at this hotel for N consecutive nights. Find his total accommodation fee.

Constraints

* 1 \leq N, K \leq 10000
* 1 \leq Y < X \leq 10000
* N,\,K,\,X,\,Y are integers.

Input

The input is given from Standard Input in the following format:


N
K
X
Y


Output

Print Tak's total accommodation fee.

Examples

Input

5
3
10000
9000


Output

48000


Input

2
3
10000
9000


Output

20000

Solution (in JAVA):

Solution:
import java.util.*;

  class Main{
    public static void main(String args[]){
      Scanner sc = new Scanner(System.in);
  
      int n = sc.nextInt();
      int k = sc.nextInt();
      int x = sc.nextInt();
      int y = sc.nextInt();
      
      int price = 0;
      
      if(n>k){
        price = x*k + (n - k)*y;
      }else{
        price = x*n;
      }
      
      System.out.println(price);
  }
}