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import math | |
def findDayOfWeek(month, day, year): | |
monthCode = getMonthCode(month, year) | |
yearCode = getYearCode(year) | |
dayOfWeekNumber = day + monthCode + yearCode | |
daysOfWeek = dict({ | |
0 : 'Saturday', | |
1 : 'Sunday', | |
2 : 'Monday', | |
3 : 'Tuesday', | |
4 : 'Wednesday', | |
5 : 'Thursday', | |
6 : 'Friday' | |
}) | |
dayOfWeek = daysOfWeek[dayOfWeekNumber % 7] | |
return dayOfWeek | |
def getMonthCode(month, year): | |
monthCodes = dict({ | |
'january' : 1, | |
'february' : 4, | |
'march' : 4, | |
'april' : 0, | |
'may' : 2, | |
'june' : 5, | |
'july' : 0, | |
'august' : 3, | |
'september' : 6, | |
'october' : 1, | |
'november' : 4, | |
'december' : 6 | |
}) | |
if(isLeapYear(year)): | |
monthCodes['january'] -= 1 | |
monthCodes['february'] -= 1 | |
return monthCodes[month.lower()] | |
def isLeapYear(year): | |
if(year % 400 == 0): | |
return True | |
if(year % 100 == 0): | |
return False | |
if(year % 4 == 0): | |
return True | |
return False | |
def getYearCode(year): | |
century = year // 100 | |
centuryCode = 6 - 2 * (century % 4) | |
yy = year - 100 * century | |
yearCode = yy + yy // 4 + centuryCode | |
return yearCode | |
def checkDec25(year, maxYears): | |
# dow = day of week | |
dowOfDec25 = [] | |
maxYear = year + maxYears | |
checkYear = year | |
while(checkYear < maxYear): # the 401st day will equal the 1st one | |
dow = findDayOfWeek('December', 25, checkYear) | |
dowOfDec25.append(dow) | |
checkYear += 1 | |
return dowOfDec25 | |
def arrayWithYears(): | |
arr = checkDec25(2000, 400) | |
i = 0 | |
while i < len(arr): | |
year = str(2000 + i) | |
arr[i] = year + ": " + arr[i] | |
i += 1 | |
return arr | |
# uncomment the line below to print a list of days of week in the 400 year span of Dec 25 | |
print(arrayWithYears()) | |
def findNumberOfWednesdays(lst, year, maxYears): | |
count = 0 | |
i = 0 | |
dowOfDec25 = checkDec25(year, maxYears) | |
while (i < len(dowOfDec25)): | |
if dowOfDec25[i] == 'Wednesday': | |
count += 1 | |
i += 1 | |
return count | |
def main(): | |
print(findNumberOfWednesdays(checkDec25(2000, 400), 2000, 400)) | |
print('of') | |
print(400) | |
main() |
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