Days in a Month

Return the number of days in month of year in the Gregorian calendar. February has 29 days in a leap year: years divisible by 4, except those divisible by 100 unless also divisible by 400. A helper function is_leap(year) keeps the code tidy.

Implement days_in_month(year, month).

Input

year: The year. month: The month, 1 (January) to 12 (December).

Output

Return the number of days.

Constraints

1 ≤ year ≤ 9,999; 1 ≤ month ≤ 12

Examples

Input:
year = 2024
month = 2

Expected output:
expected = 29

Input:
long long year = 2024;
long long month = 2;

Expected output:
long long expected = 29;

Input:
long year = 2024;
long month = 2;

Expected output:
long expected = 29;

Input:
year = 1900
month = 2

Expected output:
expected = 28

Input:
long long year = 1900;
long long month = 2;

Expected output:
long long expected = 28;

Input:
long year = 1900;
long month = 2;

Expected output:
long expected = 28;

References

This challenge is adapted for CodeUtility. Follow the statement and constraints above.

• UW TCSS 142 Introduction to Programming - master syllabus