import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.IOException;

class MyScanner {
    BufferedReader br;

    MyScanner() {
        br = new BufferedReader(new InputStreamReader(System.in));
    }

    public int intLine() throws IOException {
        return Integer.parseInt(br.readLine());
    }

    public String line() throws IOException {
        return br.readLine();
    }

    public int[] intArray() throws IOException {
        String[] in = br.readLine().split(" ");
        int n = in.length;
        int[] res = new int[n];
        for(int i = 0; i < n; i++) {
            res[i] = Integer.parseInt(in[i]);
        }
        return res;
    }
}

public class Main {
    public static void main(String[] args) throws IOException {
        MyScanner sc = new MyScanner();

        int[] in = sc.intArray();
        int n = in[0];
        int a = in[1];
        int b = in[2];

        System.out.println(Math.min(a * n, b));
        sc.br.close();
    }
}
/tmp/hf-datasets-cache/medium/datasets/42704881117311-config-parquet-and-info-qiankunmu-Project_CodeNet-896c9d36/hub/datasets--qiankunmu--Project_CodeNet_Python800_and_Java250/snapshots/c899fde44a77ba1cc14973ed3de064e4ff3aadc7/Project_CodeNet_Java250.tar.gz