Get the Months Between Two Dates

Create a function that, given 2 dates, returns the names of the months that are present between them (inclusive).

Examples

Input

 january = datetime.date(2017, 1, 1)
 march = datetime.date(2017, 3, 1)

monthsInterval(january, march)

Output

['January', 'February', 'March']

Input

 december = datetime.date(2017, 12, 1)
 january = datetime.date(2018, 1, 1)

monthsInterval(december, january)

Output

['January', 'December']

Input

 january2017 = datetime.date(2017, 0, 1)
 january2018 = datetime.date(2018, 0, 1)

monthsInterval(january2017, january2018)

Output

['January', 'February', 'March', 'April', 'May', 'June', 'July', 'August', 'September', 'October', 'November', 'December']

(Notice that January is not duplicated!)

Notes

• The returned list should include the months of dateStart and dateEnd (inclusive)
• The returned list must not include duplicate values
• The month names returned by the function should be sorted (not alphabetically, but ordered by which comes first (January = 1st month, February = 2nd month, … , December = 12th month))
• The function should produce the same output even if dateStart is greater than dateEnd