from heapq import heappush, heappop, heapify
import sys
from collections import defaultdict, deque
from math import ceil, floor, sqrt, factorial, gcd
from itertools import permutations, combinations
from bisect import bisect_left, bisect_right
sys.setrecursionlimit(10**7)
# input = sys.stdin.readline
vector1 = [[0, -1], [1, 0], [0, 1], [-1, 0]]
vector2 = [[0, 1], [1, 0], [-1, 0], [0, -1],
           [1, -1], [-1, 1], [1, 1], [-1, -1]]


def main():
    A, B, C = map(int, input().split())
    if A*C < B:
        print(A*C)
    else:
        print(B)


if __name__ == '__main__':
    main()