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 (3.4.3) (judge verdict: Runtime Error)

N = int(input())
F = [list(map(int,input().split())) for i in range(N)]
P = [list(map(int,input().split())) for i in range(N)]

ans = -float('inf')
for k in range(1,1<<10):
    tmp = 0
    for fs,ps in zip(F,P):
        cnt = 0
        for b in range(10):
            if (k>>b)&1 and fs[b]:
                cnt += 1
        tmp += ps[cnt]
    ans = max(ans, tmp)
print(ans)