A "coincidental day" corresponds to a date when both the date and its reversal, expressed in the mm-dd-yyyy format, shares the same day of the week.
For example, 09-22-2020 (in mm-dd-yyyy format) will occur on a Tuesday. Reversing the digits and expressing it in mm-dd-yyyy format, we obtain 02-02-2290 which will occur on a Sunday. Therefore, September 22, 2020 is NOT a coincidental day.
(i) Determine the total number of coincidental days between January 1, 2001 and December 31, 2099.
(ii) Determine the number of coincidental days that fall on a Sunday in the period covered under (i).
(iii) What is the last coincidental day in the period covered under (i)?