function Main(input) {
    input = input.split(' ');
  	train = input[1];
  	members = input[0];
	taxi = input[2];
	if(taxi >= members*train){
      console.log(members*train);
    }else{
      console.log(taxi);
    }
  
}Main(require("fs").readFileSync("/dev/stdin", "utf8"));