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

var na = A*N;
if(na>B){
    console.log(B);
}else{
    console.log(na);
}

}





Main(require('fs').readFileSync('/dev/stdin', 'utf8'));