function Main(input) {

  input = input.split(" ");
  
  var N = parseInt(input[0],10);
  var A = parseInt(input[1],10);
  var B = parseInt(input[2],10);
  
  var D = A * N
  if ( D <= B ){
    console.log(D);
  }else {comsole.log(B)}
  
}

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