A Sunday is called a Succinct Sunday if the pth Sunday in a given year falls on the pth day of a month. For example, the 1st Sunday of 2012 fell in January 1 - so that January 1, 2012 is a Succinct Sunday.
(i) Determine the total number of Succinct Sundays from January 1, 2001 to December 31, 2100 inclusively.
(ii) Determine the year(s) having the maximum number of Succinct Sundays in period covered under (i).
(iii) Determine the first and the last Succinct Sundays in the period covered under (i).