Revolutionary Calendar |

The secret Swamp County Revolutionary Council subcommittee on The Calendar has finally, after more than 20 years, agreed on the calendar system which will be used after the revolution. Your team's job is to prepare the Council-blessed subroutine to calculate the number of days between any two dates in the new system. Rather than have negative or Before Revolution dates, the old Gregorian calendar will remain in use for pre-revolutionary dates. Since the Revolution has not yet occurred, and the day it does will be the first day of the new year, you will not have to deal with any old dates for now.

The year has 13 months of 28 days, a 1 day month for the end
of year holiday, and an extra 1 day leap year month added between
the end of year month and the first day of the next year when
necessary.

The 28 day months, in order, are: Alligator, Bog, Crayfish,
Damp, Eel, Fen, Gumbo, Hurricane, Inundation, Jaguar, Kudzu,
Lake, and Marsh. The days of these months are numbered 0 through
27. The day and month are cycled *simultaneously,* similar
to the Mayan tzolkin calendar. The first day of the year is
0-Alligator, followed by 1-Bog, 2-Crayfish, ..., 12-Marsh,
13-Alligator, and so on. Since there are 13 of these months, and
13 is prime, all combinations of days and months are used in
13^{ . }28 = 364 days.

The end of year month, Newt, has only 1 day: 0.

There are 683 leap years in a 2820 year cycle, somewhat like
the modern Persian calendar. Year *y* will be a leap year
if
((683^{ . }*y*) mod 2820) < 683. Year 0 will be a leap
year, as will years 5, 9, 13, 17, and so on. There are 3 or 4
standard years between each leap year. Using this method for leap
years will result in an error of 1 day in 2.39 million years.
While a Y2.39M committee is being formed to address this problem,
just ignore it for now.

The leap year month is Overflow, the day number is in the range 0-682 with the first leap year in a 2820 year cycle being 0-Overflow and the last being 682-Overflow. For example, 0-Overflow-0, 1-Overflow-5, 2-Overflow-9, 0-Overflow-2820 are valid dates, 3-Overflow-2829 is not.

If either date of the pair is illegal print the official
Revolutionary Council Provisional Error Message: ``eh?`'.

Print the output for each test case on a separate line starting in the first column.

0-Alli-0 2-Overflow-2829 0-alli-0 3-Over-2829 0-a-0 0-newt-1999999 0-alligator-1997 28-bog-2000 16-jaguar-1054284 16-gum-19973 23-damp-394304 0-newt-590355 43-over-1948798 20-mar-1058036

1033635 eh? 730484396 eh? 377773883 71606355 325343964

Miguel Revilla 2004-09-16