N of us are going on a trip, by train or taxi.

The train will cost each of us A yen (the currency of Japan).

The taxi will cost us a total of B yen.

How much is our minimum total travel expense?

Constraints

* All values in input are integers.
* 1 \leq N \leq 20
* 1 \leq A \leq 50
* 1 \leq B \leq 50

Input

Input is given from Standard Input in the following format:


N A B


Output

Print an integer representing the minimum total travel expense.

Examples

Input

4 2 9


Output

8


Input

4 2 7


Output

7


Input

4 2 8


Output

8
import sys
from collections import deque
import copy
import math
def get_read_func(fileobject):
    if fileobject == None :
        return raw_input
    else:
        return fileobject.readline



def main():
    if len(sys.argv) > 1:
        f = open(sys.argv[1])
    else:
        f = None
    read_func = get_read_func(f);
    input_raw = read_func().strip().split()
    [N, A, B] = [int(input_raw[0]), int(input_raw[1]), int(input_raw[2])]
    print min(A * N,  B)

if __name__ == '__main__':
    main()
