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)

N = int(input())
A = list(map(int,input().split()))
B1 = 0
B = []
for i in range(0,N):
    if i%2 == 0:
        B1 += A[i]
    else:
        B1 -= A[i]
B.append(B1)
XX = B1
for i in range (0,N-1) :
    X = 2*A[i]-XX
    B.append(X)
    XX = X
print(B)