function main(input){
  const   args = input.split(" ");
  const N = args[0];
  const   A = args[1];
  const   B = args[2];
  if(N*A>B){
console.log(B);
  }else{
console.log(N*A);}
}
main(require('fs').readFileSync('/dev/stdin', 'utf8'));
