void main() {
  var result = integerToCode(BigInt.parse('9348079487942378923479823497823523852323552352235452342434434297834'), 52);
  var arr = List.generate(52, (ind) => ind);
  print(codeToPermutation(arr, result));
}

BigInt fact(int n) {
  if (n < 0) {
    throw new Exception('Argument less than 0');
  }
  BigInt param = BigInt.from(n);
  BigInt res = BigInt.from(1);
  BigInt incre = BigInt.from(1);
  for (BigInt i = BigInt.from(1); i <= param;) {
    res *= i;
    i += incre;
  }
  return res;
}

List<int> integerToCode(BigInt integer, permSize) {
  if (permSize <= 1) {
    return [0];
  }
  BigInt multiplier = fact(permSize - 1);
  var digit = (integer ~/ multiplier);
  return [digit.toInt()]
    ..addAll(integerToCode((integer % multiplier), permSize - 1));
}

List<int> codeToPermutation(List<int> elements, List<int> code) {
  return code.map((index) {
    var elem = elements[index];
    elements.removeAt(index);
    return elem;
  }).toList();
}