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 Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.util.Arrays;
import java.util.Scanner;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;
import java.util.Set;
import java.util.HashSet;

public class Main {

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		int k = sc.nextInt();
		int b = sc.nextInt();
		System.out.println(Math.min(b, k*n));
	}
	
	static long factr(long n,long p,long q) {
		if(n==p) {
			return 1l;
		}
		long ma = Math.max(p, q);
		long mi = Math.min(p, q);
		ArrayList<Long> mm = new ArrayList<Long>();
		for(int i=1;i<=mi;i++) {
			mm.add((long) i);
		}
		long ret = fact(n,ma,mm);
		return ret;
	}
	static long fact(long n,long m,ArrayList<Long> mm) {
		if(n==m) {
			return 1l;
		}
		long pre = fact(n-1,m,mm);
		for(int i=0;i<mm.size();i++) {
			if(pre%mm.get(i) ==0) {
				pre = pre/mm.get(i);
				mm.set(i, 1l);
			}
		}
		return (n*pre);
	}
}