from datetime import datetime, timedelta

# Функция, возвращающая выходные дни персоны 2
def get_person_2_offdays(week):
    base_offdays = [1, 2, 3]
    offdays = [(day + week - 1) % 7 for day in base_offdays]
    return offdays

# Функция, определяющая выходные дни персоны 3
def get_person_3_offdays(week):
    cycles = [[2, 3, 6], [0, 3, 4], [0, 1, 4, 5]]
    cycle_week = (week - 1) % 3
    return cycles[cycle_week]

# Начальная дата (26 февраля 2024 года)
start_date = datetime(2024, 2, 26)

# Выходные дни персоны 1 фиксированы
person_1_offdays = [0, 3, 4]

N = 12  # Количество недель для проверки

print("Date range: Starting from Feb 26, 2024")
for week in range(1, N + 1):
    current_date = start_date + timedelta(weeks=week-1)
    week_start_date = current_date.strftime("%b %d, %Y")

    offdays_2 = get_person_2_offdays(week)
    offdays_3 = get_person_3_offdays(week)

    # Находим общие выходные дни
    common_offdays = set(person_1_offdays) & set(offdays_2) & set(offdays_3)
    if common_offdays:
        common_days_formatted = ', '.join([(current_date + timedelta(days=i)).strftime("%a %b %d") for i in common_offdays])
        print(f"Week {week} (Starting {week_start_date}): common rest days are {common_days_formatted}")
    else:
        print(f"Week {week} (Starting {week_start_date}): no common rest days.")