/* Count the number of digits an integer has */
unsigned long long intDigitCount(unsigned long long in) {
  unsigned long long largestDigit;
  int digitCount = 0;
  for (largestDigit = 1; in / largestDigit != 0; largestDigit *= 10)
    ++digitCount;
  return digitCount;
}

/* Expand an integer into an integer whose first unit is 1 followed by a leading trail of 0's*/
unsigned long long intDigitExpand(unsigned long long in) {
  int expandedDigit;
  for (expandedDigit = 1; in != 1; --in)
    expandedDigit *= 10;
  return expandedDigit; 
}