题目描述
Problem Description
The JOI Ice Cream Shop is famous for its very tall ice cream towers. An ice cream tower is made by stacking additional ice creams on top of a base ice cream, with zero or more additional ice creams.
The base ice cream costs 250 yen and has a height of $A\:\mathrm{cm}$. Each additional ice cream costs 100 yen, and each one increases the height of the ice cream tower by $B\:\mathrm{cm}$.
You want to buy an ice cream tower with a height of at least $S\:\mathrm{cm}$ from this shop. Find the minimum amount of money needed to buy an ice cream tower with a height of at least $S\:\mathrm{cm}$.
Input Format
The input is given from the standard input in the following format:
$ S $ $ A $ $ B $
Output Format
Output the minimum amount of money needed to buy an ice cream tower with a height of at least $S\:\mathrm{cm}$, omitting the unit (yen).
Sample Input and Output
Sample Input #1
28
20
5
Sample Output #1
450
Sample Input #2
1
100
1
Sample Output #2
250
Sample Input #3
100
1
1
Sample Output #3
10150
Notes/Hints
Constraints
- $1\ \leqq\ S\ \leqq\ 100$.
- $1\ \leqq\ A\ \leqq\ 100$.
- $1\ \leqq\ B\ \leqq\ 100$.
- All values given in the input are integers.
Sample Explanation 1
- If no additional ice creams are added, the height of the ice cream tower is $20\:\mathrm{cm}$ and the cost is 250 yen.
- If 1 additional ice cream is added, the height of the ice cream tower is $25\:\mathrm{cm}$ and the cost is 350 yen.
- If 2 additional ice creams are added, the height of the ice cream tower is $30\:\mathrm{cm}$ and the cost is 450 yen.
Therefore, the minimum amount of money needed to buy an ice cream tower with a height of at least $28\:\mathrm{cm}$ is 450 yen, so output 450.
输入格式
见题面 Input 部分
输出格式
见题面 Output 部分