function Main(input) {
    input = input.split(" ");
    var N = input[0];
    var A = input[1];
    var B = input[2];
    var c = N * A;
    if(c > B){
        console.log(B);
    }else{
        console.log(c)
    }
}
Main(require("fs").readFileSync("/dev/stdin", "utf8"));