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Considering that you know the concept of odd days in calendar

Every 100 years have 5 odd days.

Every 400 years has->((4*5)+(1))%7=0 odd days because 400th year is itself a leap year

so 0-2000 years has 0 odd days.

now 2001-2003 each have 1 odd day and 2004 has 2 odd days because of being a leap year and 26 days of january 2005 you take

((1+1+1)+2+26) mod 7=3

So, the date 26th January 2005 is 3rd odd day and it is a Wednesday.

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