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The number of odd days in a year is calculated based on whether the year is an ordinary year or a leap year. If the year is an ordinary year then it will have 365 days which has(365/7=52 weeks 1 day) 1 odd day but in case of a leap year number of days will be 366(366/7=52 weeks 2 days) i.e. 2 odd days.

where,

0=Sunday; 1=Monday; 2=Tuesday; 3=Wednesday;4=Thursday; 5=Friday; 6=Saturday;

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