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There are 31 days in 7 months with 16 odd

There are 30 days in 4 months with 15 odd

There are 28 days in 1 months with 14 odd

That is each year 7 x 16 + 4 x 15 + 1 * 14 = 186 odd days

in 300 years that is 300 x 186 = 55,800

add 300/4 = 75 days for Leap year (Feb29) and that is

55800 + 75 = 55,875 odd days except every 100 years there is no leap year so subtract 3

Total = 55,872 odd days

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