function Main(input) {
  //入力層
  inputs = input.split(" ");
  N = +inputs[0];
  A = +inputs[1];
  B = +inputs[2];
  
  costA = N*A;
  
  if(costA >= B)
  	console.log(B);
  else
    console.log(costA);

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

