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.*;
import java.io.*;
import static java.lang.System.*;

class FastScanner {
  private final InputStream in = System.in;
  private final byte[] buffer = new byte[1024];
  private int ptr = 0;
  private int buflen = 0;
  private boolean hasNextByte() {
      if (ptr < buflen) {
          return true;
      }else{
          ptr = 0;
          try {
              buflen = in.read(buffer);
          } catch (IOException e) {
              e.printStackTrace();
          }
          if (buflen <= 0) {
              return false;
          }
      }
      return true;
  }
  private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;}
  private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;}
  public boolean hasNext() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++; return hasNextByte();}
  public String next() {
      if (!hasNext()) throw new NoSuchElementException();
      StringBuilder sb = new StringBuilder();
      int b = readByte();
      while(isPrintableChar(b)) {
          sb.appendCodePoint(b);
          b = readByte();
      }
      return sb.toString();
  }
  public long nextLong() {
      if (!hasNext()) throw new NoSuchElementException();
      long n = 0;
      boolean minus = false;
      int b = readByte();
      if (b == '-') {
          minus = true;
          b = readByte();
      }
      if (b < '0' || '9' < b) {
          throw new NumberFormatException();
      }
      while(true){
          if ('0' <= b && b <= '9') {
              n *= 10;
              n += b - '0';
          }else if(b == -1 || !isPrintableChar(b)){
              return minus ? -n : n;
          }else{
              throw new NumberFormatException();
          }
          b = readByte();
      }
  }
  public int nextInt() {
      long nl = nextLong();
      if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) throw new NumberFormatException();
      return (int) nl;
  }
  public double nextDouble() { return Double.parseDouble(next());}
}

class Main {
  public static final int MOD = 1000000007;
  public static final int INF = 1000000000;
  public static void main(String[] args) {
    FastScanner sc = new FastScanner();
    int N = sc.nextInt();
    int A = sc.nextInt();
    int B = sc.nextInt();
    out.println(Math.min(N*A, B));
  }

  public static int gcd(int a, int b){
    if(b == 0) return a;
    return gcd(b, a%b);
  }
}