```python
"""How many days lie between two proleptic Gregorian calendar dates."""

MONTH_LENGTHS = [31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31]


def _is_leap(year):
    return year % 4 == 0


def _month_length(year, month):
    if month == 2 and _is_leap(year):
        return 29
    return MONTH_LENGTHS[month - 1]


def _to_ordinal(date):
    year, month, day = date
    prior = year - 1
    days = prior * 365 + prior // 4
    for earlier in range(1, month):
        days += _month_length(year, earlier)
    return days + day


def span_days(start: list, end: list) -> int:
    if start[0] > end[0] or start[1] > end[1]:
        raise ValueError("Start date must be before end date.")
    if start[1] < 1 or start[1] > 12:
        raise ValueError("Month must be between 1 and 12.")
    if start[0] < 1 or start[0] > 31:
        raise ValueError("Day must be between 1 and the number of days in the month.")
    return _to_ordinal(end) - _to_ordinal(start)
```