Problems > Taxi Fare Bands

Taxi Fare Bands

Difficulty: 1000 2000 ms 128 MB

math

A taxi charges a base fare F for the first K kilometres, then P per additional whole kilometre. Print the fare for a D-kilometre trip.

Input: one line with four integers F K P D.

Output: F if D ≤ K, else F + (D − K)·P.

Constraints:

  • 1 ≤ F, P ≤ 106
  • 1 ≤ K ≤ D ≤ 109

Sample Tests

Input 1
50 3 10 8
Output 1
100
Input 2
50 3 10 2
Output 2
50

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