process.stdin.resume();
process.stdin.setEncoding('utf8');
// Your code here!
function main(input) {
    var x = input.split(' ');
    var n = parseInt(x[0]);
    var a = parseInt(x[1]);
    var b = parseInt(x[2]);
    if(a * n > b){
        console.log(b);
    }
    else{
        console.log(a * n);
    }
}
main(require('fs').readFileSync('/dev/stdin', 'utf8'));