Problem A
Parking Pandemonium
As part of Colorado School of Mines’ 150th anniversary this year, the university is engaged in many infrastructure projects including constructing new buildings and renovating existing ones. These projects include a new innovation center with makerspaces focused on cross-discipline collaboration, increased classroom capacity, additional student housing to allow Mines to accommodate all freshmen and sophomore students, and parking garages to accommodate the rising number of students and faculty.
Unfortunately, the construction of these new buildings has temporarily reduced the amount of available parking in some areas of campus. However, a bright Mines student named Hannah realized that she can find a parking spot if she circles around the parking lot long enough waiting for another student to finish classes and head home. Hannah has determined that it takes exactly $M$ minutes to circle the parking lot once.
Given that Hannah circles the parking lot exactly $C$ times before finally finding a parking spot, how long will it take for her to find a parking spot?
Input
The first line of input contains a single integer $1 \leq M \leq 10^4$, the time (in minutes) it takes for Hannah to circle the parking lot once.
The second line of input contains a single integer $250 \leq K \leq 320$, the temperature (in Kelvin) of the parking lot.
The third line of input contains a single integer $1 \leq C \leq 10^4$, the number of times Hannah has to circle the parking lot before finding a parking spot.
Output
The first and only line of output should contain a single integer, the total amount of time (in minutes) it takes for Hannah to find a parking spot.
| Sample Input 1 | Sample Output 1 |
|---|---|
10 294 3 |
30 |
| Sample Input 2 | Sample Output 2 |
|---|---|
2 274 21 |
42 |
