
function Main(input) {
    var N = parseInt(input[0], 10);
    var A = parseInt(input[1], 10);
    var B = parseInt(input[2], 10);

    var C = N * A;

    console.log(C < B ? C : B);
}

Main(require("fs").readFileSync("/dev/stdin", "utf8").trim().split(/\n|\s/));