function Main(input) {
  var n = parseInt(input.split(" ")[0]);
  var a = parseInt(input.split(" ")[1]);
  var b = parseInt(input.split(" ")[2]);
  
  var densya = a * n;
  if(densya > b){
     console.log(b);
     }else{
       console.log(densya);
     }
  
}

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