#B4113. Ticket Fare Calculation
Ticket Fare Calculation
Ticket Fare Calculation
Bitaro is riding the JOI Train. The fare is calculated as follows:
For the first $P$ kilometers, the cost is $A$ yen per kilometer. For every kilometer beyond the first $P$ kilometers, the cost is $B$ yen per kilometer.
If Bitaro travels a total of $Q$ kilometers, the ticket fare is:
\[ \text{fare} = \begin{cases} Q \times A, & \text{if } Q \le P,\\ P \times A + (Q - P) \times B, & \text{if } Q > P. \end{cases} \]
Calculate the total ticket price.
inputFormat
The input consists of a single line containing four space-separated integers: P Q A B
, where:
- $P$ is the cutoff distance (in kilometers) for the lower rate,
- $Q$ is the total distance traveled (in kilometers),
- $A$ is the cost (in yen) per kilometer for the first $P$ kilometers,
- $B$ is the cost (in yen) per kilometer after $P$ kilometers.
outputFormat
Print a single integer representing the total ticket fare in yen.
sample
10 5 20 30
100