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 C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;

namespace ConsoleApp1
{
    public static class MyExtensions
    {
        public static string Slice(this string str, int start = 0, int stop = 0)
        {
            if (start > str.Length || stop > str.Length || start < 0 || stop < 0)
                return "";

            if (stop == 0) stop = str.Length;
            return str.Substring(start, stop - start);
        }
    }

    class Program
    {
        static void Main(string[] args)
        {
            A();
        }

        static void A()
        {
            var NAB = ReadIntInputs();
            Console.WriteLine(Math.Min(NAB[0] * NAB[1], NAB[2])); 
        }

        public static IEnumerable<int> Range(int start, int stop)
        {
            if (start < 0 || stop < 0)
                throw new Exception("0未満");

            if (start > stop || (start == 0 && stop == 0))
                return new List<int>();

            return Enumerable.Range(start, stop - start);
        }

        public static bool IsDigit(string str)
        {
            var i = 0;
            return int.TryParse(str, out i);
        }

        public static int DigitsSum(long num)
        {
            return num.ToString().Select(x => x.ToString()).Sum(int.Parse);
        }

        public static int[] ToIntArray(string str)
        {
            return str.Select(x => x.ToString()).Select(int.Parse).ToArray();
        }

        public static string Read()
        {
            return Console.ReadLine();
        }

        public static IList<int> ReadIntInputs()
        {
            return Read().Split(' ').Select(int.Parse).ToList();
        }

        public static int ReadInt()
        {
            return int.Parse(Read());
        }

        public static IList<string> ReadInputs()
        {
            return Read().Split(' ').ToList();
        }
    }
}