P13975 [VKOSHP 2024] Two Scooters

Katya knows that the travel time from home to the metro on a scooter is $t$ seconds. The cost of the ride on the scooter from company $\texttt{W}$ is calculated as follows: first, the number of full minutes spent on the trip is determined, then this time is multiplied by 60 and used to calculate the cost at the rate of $c_1$ cents per second. The cost of the ride on the scooter from company $\texttt{Y}$ is calculated differently: first, the cost of the trip is calculated at the rate of $c_2$ cents per second, and then this amount is rounded up to the nearest whole euro. Help Katya understand what is the minimum cost she can get to the metro on a scooter from one of these companies. Recall that there are 100 cents in one euro.

The first line contains three integers $t$, $c_1$, and $c_2$ --- the travel time in seconds, the fare in cents per second on the scooter from company $\texttt{W}$, and the fare in cents per second on the scooter from company $\texttt{Y}$ ($1 \le t \le 1000$, $10 \le c_1, c_2 \le 20$).

Output the minimum cost of the ride in cents.