Problem:
Score : 100 points

Problem Statement

You are parking at a parking lot. You can choose from the following two fee plans:

Plan 1: The fee will be A×T yen (the currency of Japan) when you park for T hours.

Plan 2: The fee will be B yen, regardless of the duration.

Find the minimum fee when you park for N hours.

Constraints

1≤N≤20

1≤A≤100

1≤B≤2000

All input values are integers.

Input

Input is given from Standard Input in the following format:

N A B

Output

When the minimum fee is x yen, print the value of x.

Sample Input 1

7 17 120

Sample Output 1

119

If you choose Plan 1, the fee will be 7×17=119 yen.

If you choose Plan 2, the fee will be 120 yen.

Thus, the minimum fee is 119 yen.

Sample Input 2

5 20 100

Sample Output 2

100

The fee might be the same in the two plans.

Sample Input 3

6 18 100

Sample Output 3

100

Solution in Python (3.8.2) (judge verdict: Accepted)

import bisect,collections,copy,heapq,itertools,math,string
import sys
def I():
    #1 line 1 int
     return int(sys.stdin.readline().rstrip())
def LI():
    #1 line n int
     return list(map(int,sys.stdin.readline().rstrip().split()))
def S():
    #1 line 1 string
     return sys.stdin.readline().rstrip()
def LS():
    #1 line n strings
     return list(sys.stdin.readline().rstrip().split())

N,A,B=LI()
x=N*A
y=B

if x <= y:
    print(x)
else:
    print(y)