Problem:
Score : 100 points

Problem Statement

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.

Sample Input 1

4 2 9

Sample Output 1

8

The train will cost us 4 \times 2 = 8 yen, and the taxi will cost us 9 yen, so the minimum total travel expense is 8 yen.

Sample Input 2

4 2 7

Sample Output 2

7

Sample Input 3

4 2 8

Sample Output 3

8

Solution in Python (3.4.3) (judge verdict: Runtime Error)

L, R = map(int, input().split())

listX = []
sw = 0
i = 1
for i in range(1, 990590):
  listX.append(i*2019)

for n in range(len(listX)):
  if L < listX[n] and R > listX[n]:
    sw += 1

if sw > 0:
  print(0)

elif sw == 0:      
  L_1 = L % 2019
  R_1 = R % 2019
  
  idx1 = 0
  listA = []
  for idx1 in range(L_1, R_1):
    for idx2 in range(idx1 + 1, R_1 + 1):
      listA.append(idx1 * idx2)
 
  print(min(listA))