day on 1st jan 2004
notes
1 ordinary year has 52weeks and 1 odd days.
1 leap year has 2 odd days.
eg
100 year = 76 ordinary year + 24 leap year
= 76*1 + 24*2 = 124 odd days
= 17 weeks + 5 odd days
similarly,
for 200 year = 3 odd days
for 300 year = 1 odd days
for 400 year = 0 odd days
for 800,1200,1600,2000 year = 0 0dd days
for 1st jan 2004 = 2003 + 1 day
20003=2000+3 ordinary years
= 0 + 3
therefore for 1 st jan 2004 = 3 + 1 day= 4th of the week which is thursday.
note 0 = sunday,1 = monday and so on.
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