| :mod:`datetime` --- Basic date and time types | 
 | ============================================= | 
 |  | 
 | .. module:: datetime | 
 |    :synopsis: Basic date and time types. | 
 | .. moduleauthor:: Tim Peters <tim@zope.com> | 
 | .. sectionauthor:: Tim Peters <tim@zope.com> | 
 | .. sectionauthor:: A.M. Kuchling <amk@amk.ca> | 
 |  | 
 | .. XXX what order should the types be discussed in? | 
 |  | 
 | The :mod:`datetime` module supplies classes for manipulating dates and times in | 
 | both simple and complex ways.  While date and time arithmetic is supported, the | 
 | focus of the implementation is on efficient attribute extraction for output | 
 | formatting and manipulation. For related functionality, see also the | 
 | :mod:`time` and :mod:`calendar` modules. | 
 |  | 
 | There are two kinds of date and time objects: "naive" and "aware". | 
 |  | 
 | An aware object has sufficient knowledge of applicable algorithmic and | 
 | political time adjustments, such as time zone and daylight saving time | 
 | information, to locate itself relative to other aware objects.  An aware object | 
 | is used to represent a specific moment in time that is not open to | 
 | interpretation [#]_. | 
 |  | 
 | A naive object does not contain enough information to unambiguously locate | 
 | itself relative to other date/time objects.  Whether a naive object represents | 
 | Coordinated Universal Time (UTC), local time, or time in some other timezone is | 
 | purely up to the program, just like it is up to the program whether a | 
 | particular number represents metres, miles, or mass.  Naive objects are easy to | 
 | understand and to work with, at the cost of ignoring some aspects of reality. | 
 |  | 
 | For applications requiring aware objects, :class:`.datetime` and :class:`.time` | 
 | objects have an optional time zone information attribute, :attr:`tzinfo`, that | 
 | can be set to an instance of a subclass of the abstract :class:`tzinfo` class. | 
 | These :class:`tzinfo` objects capture information about the offset from UTC | 
 | time, the time zone name, and whether Daylight Saving Time is in effect.  Note | 
 | that only one concrete :class:`tzinfo` class, the :class:`timezone` class, is | 
 | supplied by the :mod:`datetime` module.  The :class:`timezone` class can | 
 | represent simple timezones with fixed offset from UTC, such as UTC itself or | 
 | North American EST and EDT timezones.  Supporting timezones at deeper levels of | 
 | detail is up to the application.  The rules for time adjustment across the | 
 | world are more political than rational, change frequently, and there is no | 
 | standard suitable for every application aside from UTC. | 
 |  | 
 | The :mod:`datetime` module exports the following constants: | 
 |  | 
 | .. data:: MINYEAR | 
 |  | 
 |    The smallest year number allowed in a :class:`date` or :class:`.datetime` object. | 
 |    :const:`MINYEAR` is ``1``. | 
 |  | 
 |  | 
 | .. data:: MAXYEAR | 
 |  | 
 |    The largest year number allowed in a :class:`date` or :class:`.datetime` object. | 
 |    :const:`MAXYEAR` is ``9999``. | 
 |  | 
 |  | 
 | .. seealso:: | 
 |  | 
 |    Module :mod:`calendar` | 
 |       General calendar related functions. | 
 |  | 
 |    Module :mod:`time` | 
 |       Time access and conversions. | 
 |  | 
 |  | 
 | Available Types | 
 | --------------- | 
 |  | 
 | .. class:: date | 
 |    :noindex: | 
 |  | 
 |    An idealized naive date, assuming the current Gregorian calendar always was, and | 
 |    always will be, in effect. Attributes: :attr:`year`, :attr:`month`, and | 
 |    :attr:`day`. | 
 |  | 
 |  | 
 | .. class:: time | 
 |    :noindex: | 
 |  | 
 |    An idealized time, independent of any particular day, assuming that every day | 
 |    has exactly 24\*60\*60 seconds (there is no notion of "leap seconds" here). | 
 |    Attributes: :attr:`hour`, :attr:`minute`, :attr:`second`, :attr:`microsecond`, | 
 |    and :attr:`tzinfo`. | 
 |  | 
 |  | 
 | .. class:: datetime | 
 |    :noindex: | 
 |  | 
 |    A combination of a date and a time. Attributes: :attr:`year`, :attr:`month`, | 
 |    :attr:`day`, :attr:`hour`, :attr:`minute`, :attr:`second`, :attr:`microsecond`, | 
 |    and :attr:`tzinfo`. | 
 |  | 
 |  | 
 | .. class:: timedelta | 
 |    :noindex: | 
 |  | 
 |    A duration expressing the difference between two :class:`date`, :class:`.time`, | 
 |    or :class:`.datetime` instances to microsecond resolution. | 
 |  | 
 |  | 
 | .. class:: tzinfo | 
 |  | 
 |    An abstract base class for time zone information objects.  These are used by the | 
 |    :class:`.datetime` and :class:`.time` classes to provide a customizable notion of | 
 |    time adjustment (for example, to account for time zone and/or daylight saving | 
 |    time). | 
 |  | 
 | .. class:: timezone | 
 |  | 
 |    A class that implements the :class:`tzinfo` abstract base class as a | 
 |    fixed offset from the UTC. | 
 |  | 
 |    .. versionadded:: 3.2 | 
 |  | 
 |  | 
 | Objects of these types are immutable. | 
 |  | 
 | Objects of the :class:`date` type are always naive. | 
 |  | 
 | An object of type :class:`.time` or :class:`.datetime` may be naive or aware. | 
 | A :class:`.datetime` object *d* is aware if ``d.tzinfo`` is not ``None`` and | 
 | ``d.tzinfo.utcoffset(d)`` does not return ``None``.  If ``d.tzinfo`` is | 
 | ``None``, or if ``d.tzinfo`` is not ``None`` but ``d.tzinfo.utcoffset(d)`` | 
 | returns ``None``, *d* is naive.  A :class:`.time` object *t* is aware | 
 | if ``t.tzinfo`` is not ``None`` and ``t.tzinfo.utcoffset(None)`` does not return | 
 | ``None``.  Otherwise, *t* is naive. | 
 |  | 
 | The distinction between naive and aware doesn't apply to :class:`timedelta` | 
 | objects. | 
 |  | 
 | Subclass relationships:: | 
 |  | 
 |    object | 
 |        timedelta | 
 |        tzinfo | 
 |            timezone | 
 |        time | 
 |        date | 
 |            datetime | 
 |  | 
 |  | 
 | .. _datetime-timedelta: | 
 |  | 
 | :class:`timedelta` Objects | 
 | -------------------------- | 
 |  | 
 | A :class:`timedelta` object represents a duration, the difference between two | 
 | dates or times. | 
 |  | 
 | .. class:: timedelta(days=0, seconds=0, microseconds=0, milliseconds=0, minutes=0, hours=0, weeks=0) | 
 |  | 
 |    All arguments are optional and default to ``0``.  Arguments may be integers | 
 |    or floats, and may be positive or negative. | 
 |  | 
 |    Only *days*, *seconds* and *microseconds* are stored internally.  Arguments are | 
 |    converted to those units: | 
 |  | 
 |    * A millisecond is converted to 1000 microseconds. | 
 |    * A minute is converted to 60 seconds. | 
 |    * An hour is converted to 3600 seconds. | 
 |    * A week is converted to 7 days. | 
 |  | 
 |    and days, seconds and microseconds are then normalized so that the | 
 |    representation is unique, with | 
 |  | 
 |    * ``0 <= microseconds < 1000000`` | 
 |    * ``0 <= seconds < 3600*24`` (the number of seconds in one day) | 
 |    * ``-999999999 <= days <= 999999999`` | 
 |  | 
 |    If any argument is a float and there are fractional microseconds, the fractional | 
 |    microseconds left over from all arguments are combined and their sum is rounded | 
 |    to the nearest microsecond.  If no argument is a float, the conversion and | 
 |    normalization processes are exact (no information is lost). | 
 |  | 
 |    If the normalized value of days lies outside the indicated range, | 
 |    :exc:`OverflowError` is raised. | 
 |  | 
 |    Note that normalization of negative values may be surprising at first. For | 
 |    example, | 
 |  | 
 |       >>> from datetime import timedelta | 
 |       >>> d = timedelta(microseconds=-1) | 
 |       >>> (d.days, d.seconds, d.microseconds) | 
 |       (-1, 86399, 999999) | 
 |  | 
 |  | 
 | Class attributes are: | 
 |  | 
 | .. attribute:: timedelta.min | 
 |  | 
 |    The most negative :class:`timedelta` object, ``timedelta(-999999999)``. | 
 |  | 
 |  | 
 | .. attribute:: timedelta.max | 
 |  | 
 |    The most positive :class:`timedelta` object, ``timedelta(days=999999999, | 
 |    hours=23, minutes=59, seconds=59, microseconds=999999)``. | 
 |  | 
 |  | 
 | .. attribute:: timedelta.resolution | 
 |  | 
 |    The smallest possible difference between non-equal :class:`timedelta` objects, | 
 |    ``timedelta(microseconds=1)``. | 
 |  | 
 | Note that, because of normalization, ``timedelta.max`` > ``-timedelta.min``. | 
 | ``-timedelta.max`` is not representable as a :class:`timedelta` object. | 
 |  | 
 | Instance attributes (read-only): | 
 |  | 
 | +------------------+--------------------------------------------+ | 
 | | Attribute        | Value                                      | | 
 | +==================+============================================+ | 
 | | ``days``         | Between -999999999 and 999999999 inclusive | | 
 | +------------------+--------------------------------------------+ | 
 | | ``seconds``      | Between 0 and 86399 inclusive              | | 
 | +------------------+--------------------------------------------+ | 
 | | ``microseconds`` | Between 0 and 999999 inclusive             | | 
 | +------------------+--------------------------------------------+ | 
 |  | 
 | Supported operations: | 
 |  | 
 | .. XXX this table is too wide! | 
 |  | 
 | +--------------------------------+-----------------------------------------------+ | 
 | | Operation                      | Result                                        | | 
 | +================================+===============================================+ | 
 | | ``t1 = t2 + t3``               | Sum of *t2* and *t3*. Afterwards *t1*-*t2* == | | 
 | |                                | *t3* and *t1*-*t3* == *t2* are true. (1)      | | 
 | +--------------------------------+-----------------------------------------------+ | 
 | | ``t1 = t2 - t3``               | Difference of *t2* and *t3*. Afterwards *t1*  | | 
 | |                                | == *t2* - *t3* and *t2* == *t1* + *t3* are    | | 
 | |                                | true. (1)                                     | | 
 | +--------------------------------+-----------------------------------------------+ | 
 | | ``t1 = t2 * i or t1 = i * t2`` | Delta multiplied by an integer.               | | 
 | |                                | Afterwards *t1* // i == *t2* is true,         | | 
 | |                                | provided ``i != 0``.                          | | 
 | +--------------------------------+-----------------------------------------------+ | 
 | |                                | In general, *t1* \* i == *t1* \* (i-1) + *t1* | | 
 | |                                | is true. (1)                                  | | 
 | +--------------------------------+-----------------------------------------------+ | 
 | | ``t1 = t2 * f or t1 = f * t2`` | Delta multiplied by a float. The result is    | | 
 | |                                | rounded to the nearest multiple of            | | 
 | |                                | timedelta.resolution using round-half-to-even.| | 
 | +--------------------------------+-----------------------------------------------+ | 
 | | ``f = t2 / t3``                | Division (3) of *t2* by *t3*.  Returns a      | | 
 | |                                | :class:`float` object.                        | | 
 | +--------------------------------+-----------------------------------------------+ | 
 | | ``t1 = t2 / f or t1 = t2 / i`` | Delta divided by a float or an int. The result| | 
 | |                                | is rounded to the nearest multiple of         | | 
 | |                                | timedelta.resolution using round-half-to-even.| | 
 | +--------------------------------+-----------------------------------------------+ | 
 | | ``t1 = t2 // i`` or            | The floor is computed and the remainder (if   | | 
 | | ``t1 = t2 // t3``              | any) is thrown away.  In the second case, an  | | 
 | |                                | integer is returned. (3)                      | | 
 | +--------------------------------+-----------------------------------------------+ | 
 | | ``t1 = t2 % t3``               | The remainder is computed as a                | | 
 | |                                | :class:`timedelta` object. (3)                | | 
 | +--------------------------------+-----------------------------------------------+ | 
 | | ``q, r = divmod(t1, t2)``      | Computes the quotient and the remainder:      | | 
 | |                                | ``q = t1 // t2`` (3) and ``r = t1 % t2``.     | | 
 | |                                | q is an integer and r is a :class:`timedelta` | | 
 | |                                | object.                                       | | 
 | +--------------------------------+-----------------------------------------------+ | 
 | | ``+t1``                        | Returns a :class:`timedelta` object with the  | | 
 | |                                | same value. (2)                               | | 
 | +--------------------------------+-----------------------------------------------+ | 
 | | ``-t1``                        | equivalent to :class:`timedelta`\             | | 
 | |                                | (-*t1.days*, -*t1.seconds*,                   | | 
 | |                                | -*t1.microseconds*), and to *t1*\* -1. (1)(4) | | 
 | +--------------------------------+-----------------------------------------------+ | 
 | | ``abs(t)``                     | equivalent to +\ *t* when ``t.days >= 0``, and| | 
 | |                                | to -*t* when ``t.days < 0``. (2)              | | 
 | +--------------------------------+-----------------------------------------------+ | 
 | | ``str(t)``                     | Returns a string in the form                  | | 
 | |                                | ``[D day[s], ][H]H:MM:SS[.UUUUUU]``, where D  | | 
 | |                                | is negative for negative ``t``. (5)           | | 
 | +--------------------------------+-----------------------------------------------+ | 
 | | ``repr(t)``                    | Returns a string in the form                  | | 
 | |                                | ``datetime.timedelta(D[, S[, U]])``, where D  | | 
 | |                                | is negative for negative ``t``. (5)           | | 
 | +--------------------------------+-----------------------------------------------+ | 
 |  | 
 | Notes: | 
 |  | 
 | (1) | 
 |    This is exact, but may overflow. | 
 |  | 
 | (2) | 
 |    This is exact, and cannot overflow. | 
 |  | 
 | (3) | 
 |    Division by 0 raises :exc:`ZeroDivisionError`. | 
 |  | 
 | (4) | 
 |    -*timedelta.max* is not representable as a :class:`timedelta` object. | 
 |  | 
 | (5) | 
 |   String representations of :class:`timedelta` objects are normalized | 
 |   similarly to their internal representation.  This leads to somewhat | 
 |   unusual results for negative timedeltas.  For example: | 
 |  | 
 |   >>> timedelta(hours=-5) | 
 |   datetime.timedelta(-1, 68400) | 
 |   >>> print(_) | 
 |   -1 day, 19:00:00 | 
 |  | 
 | In addition to the operations listed above :class:`timedelta` objects support | 
 | certain additions and subtractions with :class:`date` and :class:`.datetime` | 
 | objects (see below). | 
 |  | 
 | .. versionchanged:: 3.2 | 
 |    Floor division and true division of a :class:`timedelta` object by another | 
 |    :class:`timedelta` object are now supported, as are remainder operations and | 
 |    the :func:`divmod` function.  True division and multiplication of a | 
 |    :class:`timedelta` object by a :class:`float` object are now supported. | 
 |  | 
 |  | 
 | Comparisons of :class:`timedelta` objects are supported with the | 
 | :class:`timedelta` object representing the smaller duration considered to be the | 
 | smaller timedelta. In order to stop mixed-type comparisons from falling back to | 
 | the default comparison by object address, when a :class:`timedelta` object is | 
 | compared to an object of a different type, :exc:`TypeError` is raised unless the | 
 | comparison is ``==`` or ``!=``.  The latter cases return :const:`False` or | 
 | :const:`True`, respectively. | 
 |  | 
 | :class:`timedelta` objects are :term:`hashable` (usable as dictionary keys), support | 
 | efficient pickling, and in Boolean contexts, a :class:`timedelta` object is | 
 | considered to be true if and only if it isn't equal to ``timedelta(0)``. | 
 |  | 
 | Instance methods: | 
 |  | 
 | .. method:: timedelta.total_seconds() | 
 |  | 
 |    Return the total number of seconds contained in the duration. Equivalent to | 
 |    ``td / timedelta(seconds=1)``. | 
 |  | 
 |    Note that for very large time intervals (greater than 270 years on | 
 |    most platforms) this method will lose microsecond accuracy. | 
 |  | 
 |    .. versionadded:: 3.2 | 
 |  | 
 |  | 
 | Example usage: | 
 |  | 
 |     >>> from datetime import timedelta | 
 |     >>> year = timedelta(days=365) | 
 |     >>> another_year = timedelta(weeks=40, days=84, hours=23, | 
 |     ...                          minutes=50, seconds=600)  # adds up to 365 days | 
 |     >>> year.total_seconds() | 
 |     31536000.0 | 
 |     >>> year == another_year | 
 |     True | 
 |     >>> ten_years = 10 * year | 
 |     >>> ten_years, ten_years.days // 365 | 
 |     (datetime.timedelta(3650), 10) | 
 |     >>> nine_years = ten_years - year | 
 |     >>> nine_years, nine_years.days // 365 | 
 |     (datetime.timedelta(3285), 9) | 
 |     >>> three_years = nine_years // 3; | 
 |     >>> three_years, three_years.days // 365 | 
 |     (datetime.timedelta(1095), 3) | 
 |     >>> abs(three_years - ten_years) == 2 * three_years + year | 
 |     True | 
 |  | 
 |  | 
 | .. _datetime-date: | 
 |  | 
 | :class:`date` Objects | 
 | --------------------- | 
 |  | 
 | A :class:`date` object represents a date (year, month and day) in an idealized | 
 | calendar, the current Gregorian calendar indefinitely extended in both | 
 | directions.  January 1 of year 1 is called day number 1, January 2 of year 1 is | 
 | called day number 2, and so on.  This matches the definition of the "proleptic | 
 | Gregorian" calendar in Dershowitz and Reingold's book Calendrical Calculations, | 
 | where it's the base calendar for all computations.  See the book for algorithms | 
 | for converting between proleptic Gregorian ordinals and many other calendar | 
 | systems. | 
 |  | 
 |  | 
 | .. class:: date(year, month, day) | 
 |  | 
 |    All arguments are required.  Arguments may be integers, in the following | 
 |    ranges: | 
 |  | 
 |    * ``MINYEAR <= year <= MAXYEAR`` | 
 |    * ``1 <= month <= 12`` | 
 |    * ``1 <= day <= number of days in the given month and year`` | 
 |  | 
 |    If an argument outside those ranges is given, :exc:`ValueError` is raised. | 
 |  | 
 |  | 
 | Other constructors, all class methods: | 
 |  | 
 | .. classmethod:: date.today() | 
 |  | 
 |    Return the current local date.  This is equivalent to | 
 |    ``date.fromtimestamp(time.time())``. | 
 |  | 
 |  | 
 | .. classmethod:: date.fromtimestamp(timestamp) | 
 |  | 
 |    Return the local date corresponding to the POSIX timestamp, such as is returned | 
 |    by :func:`time.time`.  This may raise :exc:`OverflowError`, if the timestamp is out | 
 |    of the range of values supported by the platform C :c:func:`localtime` function, | 
 |    and :exc:`OSError` on :c:func:`localtime` failure. | 
 |    It's common for this to be restricted to years from 1970 through 2038.  Note | 
 |    that on non-POSIX systems that include leap seconds in their notion of a | 
 |    timestamp, leap seconds are ignored by :meth:`fromtimestamp`. | 
 |  | 
 |    .. versionchanged:: 3.3 | 
 |       Raise :exc:`OverflowError` instead of :exc:`ValueError` if the timestamp | 
 |       is out of the range of values supported by the platform C | 
 |       :c:func:`localtime` function. Raise :exc:`OSError` instead of | 
 |       :exc:`ValueError` on :c:func:`localtime` failure. | 
 |  | 
 |  | 
 | .. classmethod:: date.fromordinal(ordinal) | 
 |  | 
 |    Return the date corresponding to the proleptic Gregorian ordinal, where January | 
 |    1 of year 1 has ordinal 1.  :exc:`ValueError` is raised unless ``1 <= ordinal <= | 
 |    date.max.toordinal()``. For any date *d*, ``date.fromordinal(d.toordinal()) == | 
 |    d``. | 
 |  | 
 |  | 
 | Class attributes: | 
 |  | 
 | .. attribute:: date.min | 
 |  | 
 |    The earliest representable date, ``date(MINYEAR, 1, 1)``. | 
 |  | 
 |  | 
 | .. attribute:: date.max | 
 |  | 
 |    The latest representable date, ``date(MAXYEAR, 12, 31)``. | 
 |  | 
 |  | 
 | .. attribute:: date.resolution | 
 |  | 
 |    The smallest possible difference between non-equal date objects, | 
 |    ``timedelta(days=1)``. | 
 |  | 
 |  | 
 | Instance attributes (read-only): | 
 |  | 
 | .. attribute:: date.year | 
 |  | 
 |    Between :const:`MINYEAR` and :const:`MAXYEAR` inclusive. | 
 |  | 
 |  | 
 | .. attribute:: date.month | 
 |  | 
 |    Between 1 and 12 inclusive. | 
 |  | 
 |  | 
 | .. attribute:: date.day | 
 |  | 
 |    Between 1 and the number of days in the given month of the given year. | 
 |  | 
 |  | 
 | Supported operations: | 
 |  | 
 | +-------------------------------+----------------------------------------------+ | 
 | | Operation                     | Result                                       | | 
 | +===============================+==============================================+ | 
 | | ``date2 = date1 + timedelta`` | *date2* is ``timedelta.days`` days removed   | | 
 | |                               | from *date1*.  (1)                           | | 
 | +-------------------------------+----------------------------------------------+ | 
 | | ``date2 = date1 - timedelta`` | Computes *date2* such that ``date2 +         | | 
 | |                               | timedelta == date1``. (2)                    | | 
 | +-------------------------------+----------------------------------------------+ | 
 | | ``timedelta = date1 - date2`` | \(3)                                         | | 
 | +-------------------------------+----------------------------------------------+ | 
 | | ``date1 < date2``             | *date1* is considered less than *date2* when | | 
 | |                               | *date1* precedes *date2* in time. (4)        | | 
 | +-------------------------------+----------------------------------------------+ | 
 |  | 
 | Notes: | 
 |  | 
 | (1) | 
 |    *date2* is moved forward in time if ``timedelta.days > 0``, or backward if | 
 |    ``timedelta.days < 0``.  Afterward ``date2 - date1 == timedelta.days``. | 
 |    ``timedelta.seconds`` and ``timedelta.microseconds`` are ignored. | 
 |    :exc:`OverflowError` is raised if ``date2.year`` would be smaller than | 
 |    :const:`MINYEAR` or larger than :const:`MAXYEAR`. | 
 |  | 
 | (2) | 
 |    This isn't quite equivalent to date1 + (-timedelta), because -timedelta in | 
 |    isolation can overflow in cases where date1 - timedelta does not. | 
 |    ``timedelta.seconds`` and ``timedelta.microseconds`` are ignored. | 
 |  | 
 | (3) | 
 |    This is exact, and cannot overflow.  timedelta.seconds and | 
 |    timedelta.microseconds are 0, and date2 + timedelta == date1 after. | 
 |  | 
 | (4) | 
 |    In other words, ``date1 < date2`` if and only if ``date1.toordinal() < | 
 |    date2.toordinal()``. In order to stop comparison from falling back to the | 
 |    default scheme of comparing object addresses, date comparison normally raises | 
 |    :exc:`TypeError` if the other comparand isn't also a :class:`date` object. | 
 |    However, ``NotImplemented`` is returned instead if the other comparand has a | 
 |    :meth:`timetuple` attribute.  This hook gives other kinds of date objects a | 
 |    chance at implementing mixed-type comparison. If not, when a :class:`date` | 
 |    object is compared to an object of a different type, :exc:`TypeError` is raised | 
 |    unless the comparison is ``==`` or ``!=``.  The latter cases return | 
 |    :const:`False` or :const:`True`, respectively. | 
 |  | 
 | Dates can be used as dictionary keys. In Boolean contexts, all :class:`date` | 
 | objects are considered to be true. | 
 |  | 
 | Instance methods: | 
 |  | 
 | .. method:: date.replace(year, month, day) | 
 |  | 
 |    Return a date with the same value, except for those parameters given new | 
 |    values by whichever keyword arguments are specified.  For example, if ``d == | 
 |    date(2002, 12, 31)``, then ``d.replace(day=26) == date(2002, 12, 26)``. | 
 |  | 
 |  | 
 | .. method:: date.timetuple() | 
 |  | 
 |    Return a :class:`time.struct_time` such as returned by :func:`time.localtime`. | 
 |    The hours, minutes and seconds are 0, and the DST flag is -1. ``d.timetuple()`` | 
 |    is equivalent to ``time.struct_time((d.year, d.month, d.day, 0, 0, 0, | 
 |    d.weekday(), yday, -1))``, where ``yday = d.toordinal() - date(d.year, 1, | 
 |    1).toordinal() + 1`` is the day number within the current year starting with | 
 |    ``1`` for January 1st. | 
 |  | 
 |  | 
 | .. method:: date.toordinal() | 
 |  | 
 |    Return the proleptic Gregorian ordinal of the date, where January 1 of year 1 | 
 |    has ordinal 1.  For any :class:`date` object *d*, | 
 |    ``date.fromordinal(d.toordinal()) == d``. | 
 |  | 
 |  | 
 | .. method:: date.weekday() | 
 |  | 
 |    Return the day of the week as an integer, where Monday is 0 and Sunday is 6. | 
 |    For example, ``date(2002, 12, 4).weekday() == 2``, a Wednesday. See also | 
 |    :meth:`isoweekday`. | 
 |  | 
 |  | 
 | .. method:: date.isoweekday() | 
 |  | 
 |    Return the day of the week as an integer, where Monday is 1 and Sunday is 7. | 
 |    For example, ``date(2002, 12, 4).isoweekday() == 3``, a Wednesday. See also | 
 |    :meth:`weekday`, :meth:`isocalendar`. | 
 |  | 
 |  | 
 | .. method:: date.isocalendar() | 
 |  | 
 |    Return a 3-tuple, (ISO year, ISO week number, ISO weekday). | 
 |  | 
 |    The ISO calendar is a widely used variant of the Gregorian calendar. See | 
 |    http://www.phys.uu.nl/~vgent/calendar/isocalendar.htm for a good | 
 |    explanation. | 
 |  | 
 |    The ISO year consists of 52 or 53 full weeks, and where a week starts on a | 
 |    Monday and ends on a Sunday.  The first week of an ISO year is the first | 
 |    (Gregorian) calendar week of a year containing a Thursday. This is called week | 
 |    number 1, and the ISO year of that Thursday is the same as its Gregorian year. | 
 |  | 
 |    For example, 2004 begins on a Thursday, so the first week of ISO year 2004 | 
 |    begins on Monday, 29 Dec 2003 and ends on Sunday, 4 Jan 2004, so that | 
 |    ``date(2003, 12, 29).isocalendar() == (2004, 1, 1)`` and ``date(2004, 1, | 
 |    4).isocalendar() == (2004, 1, 7)``. | 
 |  | 
 |  | 
 | .. method:: date.isoformat() | 
 |  | 
 |    Return a string representing the date in ISO 8601 format, 'YYYY-MM-DD'.  For | 
 |    example, ``date(2002, 12, 4).isoformat() == '2002-12-04'``. | 
 |  | 
 |  | 
 | .. method:: date.__str__() | 
 |  | 
 |    For a date *d*, ``str(d)`` is equivalent to ``d.isoformat()``. | 
 |  | 
 |  | 
 | .. method:: date.ctime() | 
 |  | 
 |    Return a string representing the date, for example ``date(2002, 12, | 
 |    4).ctime() == 'Wed Dec 4 00:00:00 2002'``. ``d.ctime()`` is equivalent to | 
 |    ``time.ctime(time.mktime(d.timetuple()))`` on platforms where the native C | 
 |    :c:func:`ctime` function (which :func:`time.ctime` invokes, but which | 
 |    :meth:`date.ctime` does not invoke) conforms to the C standard. | 
 |  | 
 |  | 
 | .. method:: date.strftime(format) | 
 |  | 
 |    Return a string representing the date, controlled by an explicit format string. | 
 |    Format codes referring to hours, minutes or seconds will see 0 values. See | 
 |    section :ref:`strftime-strptime-behavior`. | 
 |  | 
 |  | 
 | Example of counting days to an event:: | 
 |  | 
 |     >>> import time | 
 |     >>> from datetime import date | 
 |     >>> today = date.today() | 
 |     >>> today | 
 |     datetime.date(2007, 12, 5) | 
 |     >>> today == date.fromtimestamp(time.time()) | 
 |     True | 
 |     >>> my_birthday = date(today.year, 6, 24) | 
 |     >>> if my_birthday < today: | 
 |     ...     my_birthday = my_birthday.replace(year=today.year + 1) | 
 |     >>> my_birthday | 
 |     datetime.date(2008, 6, 24) | 
 |     >>> time_to_birthday = abs(my_birthday - today) | 
 |     >>> time_to_birthday.days | 
 |     202 | 
 |  | 
 | Example of working with :class:`date`: | 
 |  | 
 | .. doctest:: | 
 |  | 
 |     >>> from datetime import date | 
 |     >>> d = date.fromordinal(730920) # 730920th day after 1. 1. 0001 | 
 |     >>> d | 
 |     datetime.date(2002, 3, 11) | 
 |     >>> t = d.timetuple() | 
 |     >>> for i in t:     # doctest: +SKIP | 
 |     ...     print(i) | 
 |     2002                # year | 
 |     3                   # month | 
 |     11                  # day | 
 |     0 | 
 |     0 | 
 |     0 | 
 |     0                   # weekday (0 = Monday) | 
 |     70                  # 70th day in the year | 
 |     -1 | 
 |     >>> ic = d.isocalendar() | 
 |     >>> for i in ic:    # doctest: +SKIP | 
 |     ...     print(i) | 
 |     2002                # ISO year | 
 |     11                  # ISO week number | 
 |     1                   # ISO day number ( 1 = Monday ) | 
 |     >>> d.isoformat() | 
 |     '2002-03-11' | 
 |     >>> d.strftime("%d/%m/%y") | 
 |     '11/03/02' | 
 |     >>> d.strftime("%A %d. %B %Y") | 
 |     'Monday 11. March 2002' | 
 |  | 
 |  | 
 | .. _datetime-datetime: | 
 |  | 
 | :class:`datetime` Objects | 
 | ------------------------- | 
 |  | 
 | A :class:`.datetime` object is a single object containing all the information | 
 | from a :class:`date` object and a :class:`.time` object.  Like a :class:`date` | 
 | object, :class:`.datetime` assumes the current Gregorian calendar extended in | 
 | both directions; like a time object, :class:`.datetime` assumes there are exactly | 
 | 3600\*24 seconds in every day. | 
 |  | 
 | Constructor: | 
 |  | 
 | .. class:: datetime(year, month, day, hour=0, minute=0, second=0, microsecond=0, tzinfo=None) | 
 |  | 
 |    The year, month and day arguments are required.  *tzinfo* may be ``None``, or an | 
 |    instance of a :class:`tzinfo` subclass.  The remaining arguments may be integers, | 
 |    in the following ranges: | 
 |  | 
 |    * ``MINYEAR <= year <= MAXYEAR`` | 
 |    * ``1 <= month <= 12`` | 
 |    * ``1 <= day <= number of days in the given month and year`` | 
 |    * ``0 <= hour < 24`` | 
 |    * ``0 <= minute < 60`` | 
 |    * ``0 <= second < 60`` | 
 |    * ``0 <= microsecond < 1000000`` | 
 |  | 
 |    If an argument outside those ranges is given, :exc:`ValueError` is raised. | 
 |  | 
 | Other constructors, all class methods: | 
 |  | 
 | .. classmethod:: datetime.today() | 
 |  | 
 |    Return the current local datetime, with :attr:`tzinfo` ``None``. This is | 
 |    equivalent to ``datetime.fromtimestamp(time.time())``. See also :meth:`now`, | 
 |    :meth:`fromtimestamp`. | 
 |  | 
 |  | 
 | .. classmethod:: datetime.now(tz=None) | 
 |  | 
 |    Return the current local date and time.  If optional argument *tz* is ``None`` | 
 |    or not specified, this is like :meth:`today`, but, if possible, supplies more | 
 |    precision than can be gotten from going through a :func:`time.time` timestamp | 
 |    (for example, this may be possible on platforms supplying the C | 
 |    :c:func:`gettimeofday` function). | 
 |  | 
 |    Else *tz* must be an instance of a class :class:`tzinfo` subclass, and the | 
 |    current date and time are converted to *tz*'s time zone.  In this case the | 
 |    result is equivalent to ``tz.fromutc(datetime.utcnow().replace(tzinfo=tz))``. | 
 |    See also :meth:`today`, :meth:`utcnow`. | 
 |  | 
 |  | 
 | .. classmethod:: datetime.utcnow() | 
 |  | 
 |    Return the current UTC date and time, with :attr:`tzinfo` ``None``. This is like | 
 |    :meth:`now`, but returns the current UTC date and time, as a naive | 
 |    :class:`.datetime` object.  An aware current UTC datetime can be obtained by | 
 |    calling ``datetime.now(timezone.utc)``.  See also :meth:`now`. | 
 |  | 
 | .. classmethod:: datetime.fromtimestamp(timestamp, tz=None) | 
 |  | 
 |    Return the local date and time corresponding to the POSIX timestamp, such as is | 
 |    returned by :func:`time.time`. If optional argument *tz* is ``None`` or not | 
 |    specified, the timestamp is converted to the platform's local date and time, and | 
 |    the returned :class:`.datetime` object is naive. | 
 |  | 
 |    Else *tz* must be an instance of a class :class:`tzinfo` subclass, and the | 
 |    timestamp is converted to *tz*'s time zone.  In this case the result is | 
 |    equivalent to | 
 |    ``tz.fromutc(datetime.utcfromtimestamp(timestamp).replace(tzinfo=tz))``. | 
 |  | 
 |    :meth:`fromtimestamp` may raise :exc:`OverflowError`, if the timestamp is out of | 
 |    the range of values supported by the platform C :c:func:`localtime` or | 
 |    :c:func:`gmtime` functions, and :exc:`OSError` on :c:func:`localtime` or | 
 |    :c:func:`gmtime` failure. | 
 |    It's common for this to be restricted to years in | 
 |    1970 through 2038. Note that on non-POSIX systems that include leap seconds in | 
 |    their notion of a timestamp, leap seconds are ignored by :meth:`fromtimestamp`, | 
 |    and then it's possible to have two timestamps differing by a second that yield | 
 |    identical :class:`.datetime` objects. See also :meth:`utcfromtimestamp`. | 
 |  | 
 |    .. versionchanged:: 3.3 | 
 |       Raise :exc:`OverflowError` instead of :exc:`ValueError` if the timestamp | 
 |       is out of the range of values supported by the platform C | 
 |       :c:func:`localtime` or :c:func:`gmtime` functions. Raise :exc:`OSError` | 
 |       instead of :exc:`ValueError` on :c:func:`localtime` or :c:func:`gmtime` | 
 |       failure. | 
 |  | 
 |  | 
 | .. classmethod:: datetime.utcfromtimestamp(timestamp) | 
 |  | 
 |    Return the UTC :class:`.datetime` corresponding to the POSIX timestamp, with | 
 |    :attr:`tzinfo` ``None``. This may raise :exc:`OverflowError`, if the timestamp is | 
 |    out of the range of values supported by the platform C :c:func:`gmtime` function, | 
 |    and :exc:`OSError` on :c:func:`gmtime` failure. | 
 |    It's common for this to be restricted to years in 1970 through 2038. See also | 
 |    :meth:`fromtimestamp`. | 
 |  | 
 |    On the POSIX compliant platforms, ``utcfromtimestamp(timestamp)`` | 
 |    is equivalent to the following expression:: | 
 |  | 
 |      datetime(1970, 1, 1) + timedelta(seconds=timestamp) | 
 |  | 
 |    .. versionchanged:: 3.3 | 
 |       Raise :exc:`OverflowError` instead of :exc:`ValueError` if the timestamp | 
 |       is out of the range of values supported by the platform C | 
 |       :c:func:`gmtime` function. Raise :exc:`OSError` instead of | 
 |       :exc:`ValueError` on :c:func:`gmtime` failure. | 
 |  | 
 |  | 
 | .. classmethod:: datetime.fromordinal(ordinal) | 
 |  | 
 |    Return the :class:`.datetime` corresponding to the proleptic Gregorian ordinal, | 
 |    where January 1 of year 1 has ordinal 1. :exc:`ValueError` is raised unless ``1 | 
 |    <= ordinal <= datetime.max.toordinal()``.  The hour, minute, second and | 
 |    microsecond of the result are all 0, and :attr:`tzinfo` is ``None``. | 
 |  | 
 |  | 
 | .. classmethod:: datetime.combine(date, time) | 
 |  | 
 |    Return a new :class:`.datetime` object whose date components are equal to the | 
 |    given :class:`date` object's, and whose time components and :attr:`tzinfo` | 
 |    attributes are equal to the given :class:`.time` object's. For any | 
 |    :class:`.datetime` object *d*, | 
 |    ``d == datetime.combine(d.date(), d.timetz())``.  If date is a | 
 |    :class:`.datetime` object, its time components and :attr:`tzinfo` attributes | 
 |    are ignored. | 
 |  | 
 |  | 
 | .. classmethod:: datetime.strptime(date_string, format) | 
 |  | 
 |    Return a :class:`.datetime` corresponding to *date_string*, parsed according to | 
 |    *format*.  This is equivalent to ``datetime(*(time.strptime(date_string, | 
 |    format)[0:6]))``. :exc:`ValueError` is raised if the date_string and format | 
 |    can't be parsed by :func:`time.strptime` or if it returns a value which isn't a | 
 |    time tuple. See section :ref:`strftime-strptime-behavior`. | 
 |  | 
 |  | 
 |  | 
 | Class attributes: | 
 |  | 
 | .. attribute:: datetime.min | 
 |  | 
 |    The earliest representable :class:`.datetime`, ``datetime(MINYEAR, 1, 1, | 
 |    tzinfo=None)``. | 
 |  | 
 |  | 
 | .. attribute:: datetime.max | 
 |  | 
 |    The latest representable :class:`.datetime`, ``datetime(MAXYEAR, 12, 31, 23, 59, | 
 |    59, 999999, tzinfo=None)``. | 
 |  | 
 |  | 
 | .. attribute:: datetime.resolution | 
 |  | 
 |    The smallest possible difference between non-equal :class:`.datetime` objects, | 
 |    ``timedelta(microseconds=1)``. | 
 |  | 
 |  | 
 | Instance attributes (read-only): | 
 |  | 
 | .. attribute:: datetime.year | 
 |  | 
 |    Between :const:`MINYEAR` and :const:`MAXYEAR` inclusive. | 
 |  | 
 |  | 
 | .. attribute:: datetime.month | 
 |  | 
 |    Between 1 and 12 inclusive. | 
 |  | 
 |  | 
 | .. attribute:: datetime.day | 
 |  | 
 |    Between 1 and the number of days in the given month of the given year. | 
 |  | 
 |  | 
 | .. attribute:: datetime.hour | 
 |  | 
 |    In ``range(24)``. | 
 |  | 
 |  | 
 | .. attribute:: datetime.minute | 
 |  | 
 |    In ``range(60)``. | 
 |  | 
 |  | 
 | .. attribute:: datetime.second | 
 |  | 
 |    In ``range(60)``. | 
 |  | 
 |  | 
 | .. attribute:: datetime.microsecond | 
 |  | 
 |    In ``range(1000000)``. | 
 |  | 
 |  | 
 | .. attribute:: datetime.tzinfo | 
 |  | 
 |    The object passed as the *tzinfo* argument to the :class:`.datetime` constructor, | 
 |    or ``None`` if none was passed. | 
 |  | 
 |  | 
 | Supported operations: | 
 |  | 
 | +---------------------------------------+--------------------------------+ | 
 | | Operation                             | Result                         | | 
 | +=======================================+================================+ | 
 | | ``datetime2 = datetime1 + timedelta`` | \(1)                           | | 
 | +---------------------------------------+--------------------------------+ | 
 | | ``datetime2 = datetime1 - timedelta`` | \(2)                           | | 
 | +---------------------------------------+--------------------------------+ | 
 | | ``timedelta = datetime1 - datetime2`` | \(3)                           | | 
 | +---------------------------------------+--------------------------------+ | 
 | | ``datetime1 < datetime2``             | Compares :class:`.datetime` to | | 
 | |                                       | :class:`.datetime`. (4)        | | 
 | +---------------------------------------+--------------------------------+ | 
 |  | 
 | (1) | 
 |    datetime2 is a duration of timedelta removed from datetime1, moving forward in | 
 |    time if ``timedelta.days`` > 0, or backward if ``timedelta.days`` < 0.  The | 
 |    result has the same :attr:`tzinfo` attribute as the input datetime, and | 
 |    datetime2 - datetime1 == timedelta after. :exc:`OverflowError` is raised if | 
 |    datetime2.year would be smaller than :const:`MINYEAR` or larger than | 
 |    :const:`MAXYEAR`. Note that no time zone adjustments are done even if the | 
 |    input is an aware object. | 
 |  | 
 | (2) | 
 |    Computes the datetime2 such that datetime2 + timedelta == datetime1. As for | 
 |    addition, the result has the same :attr:`tzinfo` attribute as the input | 
 |    datetime, and no time zone adjustments are done even if the input is aware. | 
 |    This isn't quite equivalent to datetime1 + (-timedelta), because -timedelta | 
 |    in isolation can overflow in cases where datetime1 - timedelta does not. | 
 |  | 
 | (3) | 
 |    Subtraction of a :class:`.datetime` from a :class:`.datetime` is defined only if | 
 |    both operands are naive, or if both are aware.  If one is aware and the other is | 
 |    naive, :exc:`TypeError` is raised. | 
 |  | 
 |    If both are naive, or both are aware and have the same :attr:`tzinfo` attribute, | 
 |    the :attr:`tzinfo` attributes are ignored, and the result is a :class:`timedelta` | 
 |    object *t* such that ``datetime2 + t == datetime1``.  No time zone adjustments | 
 |    are done in this case. | 
 |  | 
 |    If both are aware and have different :attr:`tzinfo` attributes, ``a-b`` acts | 
 |    as if *a* and *b* were first converted to naive UTC datetimes first.  The | 
 |    result is ``(a.replace(tzinfo=None) - a.utcoffset()) - (b.replace(tzinfo=None) | 
 |    - b.utcoffset())`` except that the implementation never overflows. | 
 |  | 
 | (4) | 
 |    *datetime1* is considered less than *datetime2* when *datetime1* precedes | 
 |    *datetime2* in time. | 
 |  | 
 |    If one comparand is naive and the other is aware, :exc:`TypeError` | 
 |    is raised if an order comparison is attempted.  For equality | 
 |    comparisons, naive instances are never equal to aware instances. | 
 |  | 
 |    If both comparands are aware, and have the same :attr:`tzinfo` attribute, the | 
 |    common :attr:`tzinfo` attribute is ignored and the base datetimes are | 
 |    compared.  If both comparands are aware and have different :attr:`tzinfo` | 
 |    attributes, the comparands are first adjusted by subtracting their UTC | 
 |    offsets (obtained from ``self.utcoffset()``). | 
 |  | 
 |    .. versionchanged:: 3.3 | 
 |       Equality comparisons between naive and aware :class:`datetime` | 
 |       instances don't raise :exc:`TypeError`. | 
 |  | 
 |    .. note:: | 
 |  | 
 |       In order to stop comparison from falling back to the default scheme of comparing | 
 |       object addresses, datetime comparison normally raises :exc:`TypeError` if the | 
 |       other comparand isn't also a :class:`.datetime` object.  However, | 
 |       ``NotImplemented`` is returned instead if the other comparand has a | 
 |       :meth:`timetuple` attribute.  This hook gives other kinds of date objects a | 
 |       chance at implementing mixed-type comparison.  If not, when a :class:`.datetime` | 
 |       object is compared to an object of a different type, :exc:`TypeError` is raised | 
 |       unless the comparison is ``==`` or ``!=``.  The latter cases return | 
 |       :const:`False` or :const:`True`, respectively. | 
 |  | 
 | :class:`.datetime` objects can be used as dictionary keys. In Boolean contexts, | 
 | all :class:`.datetime` objects are considered to be true. | 
 |  | 
 | Instance methods: | 
 |  | 
 | .. method:: datetime.date() | 
 |  | 
 |    Return :class:`date` object with same year, month and day. | 
 |  | 
 |  | 
 | .. method:: datetime.time() | 
 |  | 
 |    Return :class:`.time` object with same hour, minute, second and microsecond. | 
 |    :attr:`tzinfo` is ``None``.  See also method :meth:`timetz`. | 
 |  | 
 |  | 
 | .. method:: datetime.timetz() | 
 |  | 
 |    Return :class:`.time` object with same hour, minute, second, microsecond, and | 
 |    tzinfo attributes.  See also method :meth:`time`. | 
 |  | 
 |  | 
 | .. method:: datetime.replace([year[, month[, day[, hour[, minute[, second[, microsecond[, tzinfo]]]]]]]]) | 
 |  | 
 |    Return a datetime with the same attributes, except for those attributes given | 
 |    new values by whichever keyword arguments are specified.  Note that | 
 |    ``tzinfo=None`` can be specified to create a naive datetime from an aware | 
 |    datetime with no conversion of date and time data. | 
 |  | 
 |  | 
 | .. method:: datetime.astimezone(tz=None) | 
 |  | 
 |    Return a :class:`datetime` object with new :attr:`tzinfo` attribute *tz*, | 
 |    adjusting the date and time data so the result is the same UTC time as | 
 |    *self*, but in *tz*'s local time. | 
 |  | 
 |    If provided, *tz* must be an instance of a :class:`tzinfo` subclass, and its | 
 |    :meth:`utcoffset` and :meth:`dst` methods must not return ``None``.  *self* must | 
 |    be aware (``self.tzinfo`` must not be ``None``, and ``self.utcoffset()`` must | 
 |    not return ``None``). | 
 |  | 
 |    If called without arguments (or with ``tz=None``) the system local | 
 |    timezone is assumed.  The ``tzinfo`` attribute of the converted | 
 |    datetime instance will be set to an instance of :class:`timezone` | 
 |    with the zone name and offset obtained from the OS. | 
 |  | 
 |    If ``self.tzinfo`` is *tz*, ``self.astimezone(tz)`` is equal to *self*:  no | 
 |    adjustment of date or time data is performed. Else the result is local | 
 |    time in time zone *tz*, representing the same UTC time as *self*:  after | 
 |    ``astz = dt.astimezone(tz)``, ``astz - astz.utcoffset()`` will usually have | 
 |    the same date and time data as ``dt - dt.utcoffset()``. The discussion | 
 |    of class :class:`tzinfo` explains the cases at Daylight Saving Time transition | 
 |    boundaries where this cannot be achieved (an issue only if *tz* models both | 
 |    standard and daylight time). | 
 |  | 
 |    If you merely want to attach a time zone object *tz* to a datetime *dt* without | 
 |    adjustment of date and time data, use ``dt.replace(tzinfo=tz)``.  If you | 
 |    merely want to remove the time zone object from an aware datetime *dt* without | 
 |    conversion of date and time data, use ``dt.replace(tzinfo=None)``. | 
 |  | 
 |    Note that the default :meth:`tzinfo.fromutc` method can be overridden in a | 
 |    :class:`tzinfo` subclass to affect the result returned by :meth:`astimezone`. | 
 |    Ignoring error cases, :meth:`astimezone` acts like:: | 
 |  | 
 |       def astimezone(self, tz): | 
 |           if self.tzinfo is tz: | 
 |               return self | 
 |           # Convert self to UTC, and attach the new time zone object. | 
 |           utc = (self - self.utcoffset()).replace(tzinfo=tz) | 
 |           # Convert from UTC to tz's local time. | 
 |           return tz.fromutc(utc) | 
 |  | 
 |    .. versionchanged:: 3.3 | 
 |       *tz* now can be omitted. | 
 |  | 
 |  | 
 | .. method:: datetime.utcoffset() | 
 |  | 
 |    If :attr:`tzinfo` is ``None``, returns ``None``, else returns | 
 |    ``self.tzinfo.utcoffset(self)``, and raises an exception if the latter doesn't | 
 |    return ``None``, or a :class:`timedelta` object representing a whole number of | 
 |    minutes with magnitude less than one day. | 
 |  | 
 |  | 
 | .. method:: datetime.dst() | 
 |  | 
 |    If :attr:`tzinfo` is ``None``, returns ``None``, else returns | 
 |    ``self.tzinfo.dst(self)``, and raises an exception if the latter doesn't return | 
 |    ``None``, or a :class:`timedelta` object representing a whole number of minutes | 
 |    with magnitude less than one day. | 
 |  | 
 |  | 
 | .. method:: datetime.tzname() | 
 |  | 
 |    If :attr:`tzinfo` is ``None``, returns ``None``, else returns | 
 |    ``self.tzinfo.tzname(self)``, raises an exception if the latter doesn't return | 
 |    ``None`` or a string object, | 
 |  | 
 |  | 
 | .. method:: datetime.timetuple() | 
 |  | 
 |    Return a :class:`time.struct_time` such as returned by :func:`time.localtime`. | 
 |    ``d.timetuple()`` is equivalent to ``time.struct_time((d.year, d.month, d.day, | 
 |    d.hour, d.minute, d.second, d.weekday(), yday, dst))``, where ``yday = | 
 |    d.toordinal() - date(d.year, 1, 1).toordinal() + 1`` is the day number within | 
 |    the current year starting with ``1`` for January 1st. The :attr:`tm_isdst` flag | 
 |    of the result is set according to the :meth:`dst` method: :attr:`tzinfo` is | 
 |    ``None`` or :meth:`dst` returns ``None``, :attr:`tm_isdst` is set to ``-1``; | 
 |    else if :meth:`dst` returns a non-zero value, :attr:`tm_isdst` is set to ``1``; | 
 |    else :attr:`tm_isdst` is set to ``0``. | 
 |  | 
 |  | 
 | .. method:: datetime.utctimetuple() | 
 |  | 
 |    If :class:`.datetime` instance *d* is naive, this is the same as | 
 |    ``d.timetuple()`` except that :attr:`tm_isdst` is forced to 0 regardless of what | 
 |    ``d.dst()`` returns.  DST is never in effect for a UTC time. | 
 |  | 
 |    If *d* is aware, *d* is normalized to UTC time, by subtracting | 
 |    ``d.utcoffset()``, and a :class:`time.struct_time` for the | 
 |    normalized time is returned.  :attr:`tm_isdst` is forced to 0. Note | 
 |    that an :exc:`OverflowError` may be raised if *d*.year was | 
 |    ``MINYEAR`` or ``MAXYEAR`` and UTC adjustment spills over a year | 
 |    boundary. | 
 |  | 
 |  | 
 | .. method:: datetime.toordinal() | 
 |  | 
 |    Return the proleptic Gregorian ordinal of the date.  The same as | 
 |    ``self.date().toordinal()``. | 
 |  | 
 | .. method:: datetime.timestamp() | 
 |  | 
 |    Return POSIX timestamp corresponding to the :class:`datetime` | 
 |    instance.  The return value is a :class:`float` similar to that | 
 |    returned by :func:`time.time`. | 
 |  | 
 |    Naive :class:`datetime` instances are assumed to represent local | 
 |    time and this method relies on the platform C :c:func:`mktime` | 
 |    function to perform the conversion.  Since :class:`datetime` | 
 |    supports wider range of values than :c:func:`mktime` on many | 
 |    platforms, this method may raise :exc:`OverflowError` for times far | 
 |    in the past or far in the future. | 
 |  | 
 |    For aware :class:`datetime` instances, the return value is computed | 
 |    as:: | 
 |  | 
 |       (dt - datetime(1970, 1, 1, tzinfo=timezone.utc)).total_seconds() | 
 |  | 
 |    .. versionadded:: 3.3 | 
 |  | 
 |    .. note:: | 
 |  | 
 |       There is no method to obtain the POSIX timestamp directly from a | 
 |       naive :class:`datetime` instance representing UTC time.  If your | 
 |       application uses this convention and your system timezone is not | 
 |       set to UTC, you can obtain the POSIX timestamp by supplying | 
 |       ``tzinfo=timezone.utc``:: | 
 |  | 
 |          timestamp = dt.replace(tzinfo=timezone.utc).timestamp() | 
 |  | 
 |       or by calculating the timestamp directly:: | 
 |  | 
 |          timestamp = (dt - datetime(1970, 1, 1)) / timedelta(seconds=1) | 
 |  | 
 | .. method:: datetime.weekday() | 
 |  | 
 |    Return the day of the week as an integer, where Monday is 0 and Sunday is 6. | 
 |    The same as ``self.date().weekday()``. See also :meth:`isoweekday`. | 
 |  | 
 |  | 
 | .. method:: datetime.isoweekday() | 
 |  | 
 |    Return the day of the week as an integer, where Monday is 1 and Sunday is 7. | 
 |    The same as ``self.date().isoweekday()``. See also :meth:`weekday`, | 
 |    :meth:`isocalendar`. | 
 |  | 
 |  | 
 | .. method:: datetime.isocalendar() | 
 |  | 
 |    Return a 3-tuple, (ISO year, ISO week number, ISO weekday).  The same as | 
 |    ``self.date().isocalendar()``. | 
 |  | 
 |  | 
 | .. method:: datetime.isoformat(sep='T') | 
 |  | 
 |    Return a string representing the date and time in ISO 8601 format, | 
 |    YYYY-MM-DDTHH:MM:SS.mmmmmm or, if :attr:`microsecond` is 0, | 
 |    YYYY-MM-DDTHH:MM:SS | 
 |  | 
 |    If :meth:`utcoffset` does not return ``None``, a 6-character string is | 
 |    appended, giving the UTC offset in (signed) hours and minutes: | 
 |    YYYY-MM-DDTHH:MM:SS.mmmmmm+HH:MM or, if :attr:`microsecond` is 0 | 
 |    YYYY-MM-DDTHH:MM:SS+HH:MM | 
 |  | 
 |    The optional argument *sep* (default ``'T'``) is a one-character separator, | 
 |    placed between the date and time portions of the result.  For example, | 
 |  | 
 |       >>> from datetime import tzinfo, timedelta, datetime | 
 |       >>> class TZ(tzinfo): | 
 |       ...     def utcoffset(self, dt): return timedelta(minutes=-399) | 
 |       ... | 
 |       >>> datetime(2002, 12, 25, tzinfo=TZ()).isoformat(' ') | 
 |       '2002-12-25 00:00:00-06:39' | 
 |  | 
 |  | 
 | .. method:: datetime.__str__() | 
 |  | 
 |    For a :class:`.datetime` instance *d*, ``str(d)`` is equivalent to | 
 |    ``d.isoformat(' ')``. | 
 |  | 
 |  | 
 | .. method:: datetime.ctime() | 
 |  | 
 |    Return a string representing the date and time, for example ``datetime(2002, 12, | 
 |    4, 20, 30, 40).ctime() == 'Wed Dec  4 20:30:40 2002'``. ``d.ctime()`` is | 
 |    equivalent to ``time.ctime(time.mktime(d.timetuple()))`` on platforms where the | 
 |    native C :c:func:`ctime` function (which :func:`time.ctime` invokes, but which | 
 |    :meth:`datetime.ctime` does not invoke) conforms to the C standard. | 
 |  | 
 |  | 
 | .. method:: datetime.strftime(format) | 
 |  | 
 |    Return a string representing the date and time, controlled by an explicit format | 
 |    string.  See section :ref:`strftime-strptime-behavior`. | 
 |  | 
 |  | 
 | Examples of working with datetime objects: | 
 |  | 
 | .. doctest:: | 
 |  | 
 |     >>> from datetime import datetime, date, time | 
 |     >>> # Using datetime.combine() | 
 |     >>> d = date(2005, 7, 14) | 
 |     >>> t = time(12, 30) | 
 |     >>> datetime.combine(d, t) | 
 |     datetime.datetime(2005, 7, 14, 12, 30) | 
 |     >>> # Using datetime.now() or datetime.utcnow() | 
 |     >>> datetime.now()   # doctest: +SKIP | 
 |     datetime.datetime(2007, 12, 6, 16, 29, 43, 79043)   # GMT +1 | 
 |     >>> datetime.utcnow()   # doctest: +SKIP | 
 |     datetime.datetime(2007, 12, 6, 15, 29, 43, 79060) | 
 |     >>> # Using datetime.strptime() | 
 |     >>> dt = datetime.strptime("21/11/06 16:30", "%d/%m/%y %H:%M") | 
 |     >>> dt | 
 |     datetime.datetime(2006, 11, 21, 16, 30) | 
 |     >>> # Using datetime.timetuple() to get tuple of all attributes | 
 |     >>> tt = dt.timetuple() | 
 |     >>> for it in tt:   # doctest: +SKIP | 
 |     ...     print(it) | 
 |     ... | 
 |     2006    # year | 
 |     11      # month | 
 |     21      # day | 
 |     16      # hour | 
 |     30      # minute | 
 |     0       # second | 
 |     1       # weekday (0 = Monday) | 
 |     325     # number of days since 1st January | 
 |     -1      # dst - method tzinfo.dst() returned None | 
 |     >>> # Date in ISO format | 
 |     >>> ic = dt.isocalendar() | 
 |     >>> for it in ic:   # doctest: +SKIP | 
 |     ...     print(it) | 
 |     ... | 
 |     2006    # ISO year | 
 |     47      # ISO week | 
 |     2       # ISO weekday | 
 |     >>> # Formatting datetime | 
 |     >>> dt.strftime("%A, %d. %B %Y %I:%M%p") | 
 |     'Tuesday, 21. November 2006 04:30PM' | 
 |  | 
 | Using datetime with tzinfo: | 
 |  | 
 |     >>> from datetime import timedelta, datetime, tzinfo | 
 |     >>> class GMT1(tzinfo): | 
 |     ...     def utcoffset(self, dt): | 
 |     ...         return timedelta(hours=1) + self.dst(dt) | 
 |     ...     def dst(self, dt): | 
 |     ...         # DST starts last Sunday in March | 
 |     ...         d = datetime(dt.year, 4, 1)   # ends last Sunday in October | 
 |     ...         self.dston = d - timedelta(days=d.weekday() + 1) | 
 |     ...         d = datetime(dt.year, 11, 1) | 
 |     ...         self.dstoff = d - timedelta(days=d.weekday() + 1) | 
 |     ...         if self.dston <=  dt.replace(tzinfo=None) < self.dstoff: | 
 |     ...             return timedelta(hours=1) | 
 |     ...         else: | 
 |     ...             return timedelta(0) | 
 |     ...     def tzname(self,dt): | 
 |     ...          return "GMT +1" | 
 |     ... | 
 |     >>> class GMT2(tzinfo): | 
 |     ...     def utcoffset(self, dt): | 
 |     ...         return timedelta(hours=2) + self.dst(dt) | 
 |     ...     def dst(self, dt): | 
 |     ...         d = datetime(dt.year, 4, 1) | 
 |     ...         self.dston = d - timedelta(days=d.weekday() + 1) | 
 |     ...         d = datetime(dt.year, 11, 1) | 
 |     ...         self.dstoff = d - timedelta(days=d.weekday() + 1) | 
 |     ...         if self.dston <=  dt.replace(tzinfo=None) < self.dstoff: | 
 |     ...             return timedelta(hours=1) | 
 |     ...         else: | 
 |     ...             return timedelta(0) | 
 |     ...     def tzname(self,dt): | 
 |     ...         return "GMT +2" | 
 |     ... | 
 |     >>> gmt1 = GMT1() | 
 |     >>> # Daylight Saving Time | 
 |     >>> dt1 = datetime(2006, 11, 21, 16, 30, tzinfo=gmt1) | 
 |     >>> dt1.dst() | 
 |     datetime.timedelta(0) | 
 |     >>> dt1.utcoffset() | 
 |     datetime.timedelta(0, 3600) | 
 |     >>> dt2 = datetime(2006, 6, 14, 13, 0, tzinfo=gmt1) | 
 |     >>> dt2.dst() | 
 |     datetime.timedelta(0, 3600) | 
 |     >>> dt2.utcoffset() | 
 |     datetime.timedelta(0, 7200) | 
 |     >>> # Convert datetime to another time zone | 
 |     >>> dt3 = dt2.astimezone(GMT2()) | 
 |     >>> dt3     # doctest: +ELLIPSIS | 
 |     datetime.datetime(2006, 6, 14, 14, 0, tzinfo=<GMT2 object at 0x...>) | 
 |     >>> dt2     # doctest: +ELLIPSIS | 
 |     datetime.datetime(2006, 6, 14, 13, 0, tzinfo=<GMT1 object at 0x...>) | 
 |     >>> dt2.utctimetuple() == dt3.utctimetuple() | 
 |     True | 
 |  | 
 |  | 
 |  | 
 | .. _datetime-time: | 
 |  | 
 | :class:`time` Objects | 
 | --------------------- | 
 |  | 
 | A time object represents a (local) time of day, independent of any particular | 
 | day, and subject to adjustment via a :class:`tzinfo` object. | 
 |  | 
 | .. class:: time(hour=0, minute=0, second=0, microsecond=0, tzinfo=None) | 
 |  | 
 |    All arguments are optional.  *tzinfo* may be ``None``, or an instance of a | 
 |    :class:`tzinfo` subclass.  The remaining arguments may be integers, in the | 
 |    following ranges: | 
 |  | 
 |    * ``0 <= hour < 24`` | 
 |    * ``0 <= minute < 60`` | 
 |    * ``0 <= second < 60`` | 
 |    * ``0 <= microsecond < 1000000``. | 
 |  | 
 |    If an argument outside those ranges is given, :exc:`ValueError` is raised.  All | 
 |    default to ``0`` except *tzinfo*, which defaults to :const:`None`. | 
 |  | 
 | Class attributes: | 
 |  | 
 |  | 
 | .. attribute:: time.min | 
 |  | 
 |    The earliest representable :class:`.time`, ``time(0, 0, 0, 0)``. | 
 |  | 
 |  | 
 | .. attribute:: time.max | 
 |  | 
 |    The latest representable :class:`.time`, ``time(23, 59, 59, 999999)``. | 
 |  | 
 |  | 
 | .. attribute:: time.resolution | 
 |  | 
 |    The smallest possible difference between non-equal :class:`.time` objects, | 
 |    ``timedelta(microseconds=1)``, although note that arithmetic on | 
 |    :class:`.time` objects is not supported. | 
 |  | 
 |  | 
 | Instance attributes (read-only): | 
 |  | 
 | .. attribute:: time.hour | 
 |  | 
 |    In ``range(24)``. | 
 |  | 
 |  | 
 | .. attribute:: time.minute | 
 |  | 
 |    In ``range(60)``. | 
 |  | 
 |  | 
 | .. attribute:: time.second | 
 |  | 
 |    In ``range(60)``. | 
 |  | 
 |  | 
 | .. attribute:: time.microsecond | 
 |  | 
 |    In ``range(1000000)``. | 
 |  | 
 |  | 
 | .. attribute:: time.tzinfo | 
 |  | 
 |    The object passed as the tzinfo argument to the :class:`.time` constructor, or | 
 |    ``None`` if none was passed. | 
 |  | 
 |  | 
 | Supported operations: | 
 |  | 
 | * comparison of :class:`.time` to :class:`.time`, where *a* is considered less | 
 |   than *b* when *a* precedes *b* in time.  If one comparand is naive and the other | 
 |   is aware, :exc:`TypeError` is raised if an order comparison is attempted. For equality | 
 |   comparisons, naive instances are never equal to aware instances. | 
 |  | 
 |   If both comparands are aware, and have | 
 |   the same :attr:`tzinfo` attribute, the common :attr:`tzinfo` attribute is | 
 |   ignored and the base times are compared.  If both comparands are aware and | 
 |   have different :attr:`tzinfo` attributes, the comparands are first adjusted by | 
 |   subtracting their UTC offsets (obtained from ``self.utcoffset()``). In order | 
 |   to stop mixed-type comparisons from falling back to the default comparison by | 
 |   object address, when a :class:`.time` object is compared to an object of a | 
 |   different type, :exc:`TypeError` is raised unless the comparison is ``==`` or | 
 |   ``!=``.  The latter cases return :const:`False` or :const:`True`, respectively. | 
 |  | 
 |   .. versionchanged:: 3.3 | 
 |      Equality comparisons between naive and aware :class:`time` instances | 
 |      don't raise :exc:`TypeError`. | 
 |  | 
 | * hash, use as dict key | 
 |  | 
 | * efficient pickling | 
 |  | 
 | * in Boolean contexts, a :class:`.time` object is considered to be true if and | 
 |   only if, after converting it to minutes and subtracting :meth:`utcoffset` (or | 
 |   ``0`` if that's ``None``), the result is non-zero. | 
 |  | 
 |  | 
 | Instance methods: | 
 |  | 
 | .. method:: time.replace([hour[, minute[, second[, microsecond[, tzinfo]]]]]) | 
 |  | 
 |    Return a :class:`.time` with the same value, except for those attributes given | 
 |    new values by whichever keyword arguments are specified.  Note that | 
 |    ``tzinfo=None`` can be specified to create a naive :class:`.time` from an | 
 |    aware :class:`.time`, without conversion of the time data. | 
 |  | 
 |  | 
 | .. method:: time.isoformat() | 
 |  | 
 |    Return a string representing the time in ISO 8601 format, HH:MM:SS.mmmmmm or, if | 
 |    self.microsecond is 0, HH:MM:SS If :meth:`utcoffset` does not return ``None``, a | 
 |    6-character string is appended, giving the UTC offset in (signed) hours and | 
 |    minutes: HH:MM:SS.mmmmmm+HH:MM or, if self.microsecond is 0, HH:MM:SS+HH:MM | 
 |  | 
 |  | 
 | .. method:: time.__str__() | 
 |  | 
 |    For a time *t*, ``str(t)`` is equivalent to ``t.isoformat()``. | 
 |  | 
 |  | 
 | .. method:: time.strftime(format) | 
 |  | 
 |    Return a string representing the time, controlled by an explicit format string. | 
 |    See section :ref:`strftime-strptime-behavior`. | 
 |  | 
 |  | 
 | .. method:: time.utcoffset() | 
 |  | 
 |    If :attr:`tzinfo` is ``None``, returns ``None``, else returns | 
 |    ``self.tzinfo.utcoffset(None)``, and raises an exception if the latter doesn't | 
 |    return ``None`` or a :class:`timedelta` object representing a whole number of | 
 |    minutes with magnitude less than one day. | 
 |  | 
 |  | 
 | .. method:: time.dst() | 
 |  | 
 |    If :attr:`tzinfo` is ``None``, returns ``None``, else returns | 
 |    ``self.tzinfo.dst(None)``, and raises an exception if the latter doesn't return | 
 |    ``None``, or a :class:`timedelta` object representing a whole number of minutes | 
 |    with magnitude less than one day. | 
 |  | 
 |  | 
 | .. method:: time.tzname() | 
 |  | 
 |    If :attr:`tzinfo` is ``None``, returns ``None``, else returns | 
 |    ``self.tzinfo.tzname(None)``, or raises an exception if the latter doesn't | 
 |    return ``None`` or a string object. | 
 |  | 
 |  | 
 | Example: | 
 |  | 
 |     >>> from datetime import time, tzinfo | 
 |     >>> class GMT1(tzinfo): | 
 |     ...     def utcoffset(self, dt): | 
 |     ...         return timedelta(hours=1) | 
 |     ...     def dst(self, dt): | 
 |     ...         return timedelta(0) | 
 |     ...     def tzname(self,dt): | 
 |     ...         return "Europe/Prague" | 
 |     ... | 
 |     >>> t = time(12, 10, 30, tzinfo=GMT1()) | 
 |     >>> t                               # doctest: +ELLIPSIS | 
 |     datetime.time(12, 10, 30, tzinfo=<GMT1 object at 0x...>) | 
 |     >>> gmt = GMT1() | 
 |     >>> t.isoformat() | 
 |     '12:10:30+01:00' | 
 |     >>> t.dst() | 
 |     datetime.timedelta(0) | 
 |     >>> t.tzname() | 
 |     'Europe/Prague' | 
 |     >>> t.strftime("%H:%M:%S %Z") | 
 |     '12:10:30 Europe/Prague' | 
 |  | 
 |  | 
 | .. _datetime-tzinfo: | 
 |  | 
 | :class:`tzinfo` Objects | 
 | ----------------------- | 
 |  | 
 | :class:`tzinfo` is an abstract base class, meaning that this class should not be | 
 | instantiated directly.  You need to derive a concrete subclass, and (at least) | 
 | supply implementations of the standard :class:`tzinfo` methods needed by the | 
 | :class:`.datetime` methods you use.  The :mod:`datetime` module supplies | 
 | a simple concrete subclass of :class:`tzinfo` :class:`timezone` which can represent | 
 | timezones with fixed offset from UTC such as UTC itself or North American EST and | 
 | EDT. | 
 |  | 
 | An instance of (a concrete subclass of) :class:`tzinfo` can be passed to the | 
 | constructors for :class:`.datetime` and :class:`.time` objects. The latter objects | 
 | view their attributes as being in local time, and the :class:`tzinfo` object | 
 | supports methods revealing offset of local time from UTC, the name of the time | 
 | zone, and DST offset, all relative to a date or time object passed to them. | 
 |  | 
 | Special requirement for pickling:  A :class:`tzinfo` subclass must have an | 
 | :meth:`__init__` method that can be called with no arguments, else it can be | 
 | pickled but possibly not unpickled again.  This is a technical requirement that | 
 | may be relaxed in the future. | 
 |  | 
 | A concrete subclass of :class:`tzinfo` may need to implement the following | 
 | methods.  Exactly which methods are needed depends on the uses made of aware | 
 | :mod:`datetime` objects.  If in doubt, simply implement all of them. | 
 |  | 
 |  | 
 | .. method:: tzinfo.utcoffset(dt) | 
 |  | 
 |    Return offset of local time from UTC, in minutes east of UTC.  If local time is | 
 |    west of UTC, this should be negative.  Note that this is intended to be the | 
 |    total offset from UTC; for example, if a :class:`tzinfo` object represents both | 
 |    time zone and DST adjustments, :meth:`utcoffset` should return their sum.  If | 
 |    the UTC offset isn't known, return ``None``.  Else the value returned must be a | 
 |    :class:`timedelta` object specifying a whole number of minutes in the range | 
 |    -1439 to 1439 inclusive (1440 = 24\*60; the magnitude of the offset must be less | 
 |    than one day).  Most implementations of :meth:`utcoffset` will probably look | 
 |    like one of these two:: | 
 |  | 
 |       return CONSTANT                 # fixed-offset class | 
 |       return CONSTANT + self.dst(dt)  # daylight-aware class | 
 |  | 
 |    If :meth:`utcoffset` does not return ``None``, :meth:`dst` should not return | 
 |    ``None`` either. | 
 |  | 
 |    The default implementation of :meth:`utcoffset` raises | 
 |    :exc:`NotImplementedError`. | 
 |  | 
 |  | 
 | .. method:: tzinfo.dst(dt) | 
 |  | 
 |    Return the daylight saving time (DST) adjustment, in minutes east of UTC, or | 
 |    ``None`` if DST information isn't known.  Return ``timedelta(0)`` if DST is not | 
 |    in effect. If DST is in effect, return the offset as a :class:`timedelta` object | 
 |    (see :meth:`utcoffset` for details). Note that DST offset, if applicable, has | 
 |    already been added to the UTC offset returned by :meth:`utcoffset`, so there's | 
 |    no need to consult :meth:`dst` unless you're interested in obtaining DST info | 
 |    separately.  For example, :meth:`datetime.timetuple` calls its :attr:`tzinfo` | 
 |    attribute's :meth:`dst` method to determine how the :attr:`tm_isdst` flag | 
 |    should be set, and :meth:`tzinfo.fromutc` calls :meth:`dst` to account for | 
 |    DST changes when crossing time zones. | 
 |  | 
 |    An instance *tz* of a :class:`tzinfo` subclass that models both standard and | 
 |    daylight times must be consistent in this sense: | 
 |  | 
 |    ``tz.utcoffset(dt) - tz.dst(dt)`` | 
 |  | 
 |    must return the same result for every :class:`.datetime` *dt* with ``dt.tzinfo == | 
 |    tz``  For sane :class:`tzinfo` subclasses, this expression yields the time | 
 |    zone's "standard offset", which should not depend on the date or the time, but | 
 |    only on geographic location.  The implementation of :meth:`datetime.astimezone` | 
 |    relies on this, but cannot detect violations; it's the programmer's | 
 |    responsibility to ensure it.  If a :class:`tzinfo` subclass cannot guarantee | 
 |    this, it may be able to override the default implementation of | 
 |    :meth:`tzinfo.fromutc` to work correctly with :meth:`astimezone` regardless. | 
 |  | 
 |    Most implementations of :meth:`dst` will probably look like one of these two:: | 
 |  | 
 |       def dst(self, dt): | 
 |           # a fixed-offset class:  doesn't account for DST | 
 |           return timedelta(0) | 
 |  | 
 |    or :: | 
 |  | 
 |       def dst(self, dt): | 
 |           # Code to set dston and dstoff to the time zone's DST | 
 |           # transition times based on the input dt.year, and expressed | 
 |           # in standard local time.  Then | 
 |  | 
 |           if dston <= dt.replace(tzinfo=None) < dstoff: | 
 |               return timedelta(hours=1) | 
 |           else: | 
 |               return timedelta(0) | 
 |  | 
 |    The default implementation of :meth:`dst` raises :exc:`NotImplementedError`. | 
 |  | 
 |  | 
 | .. method:: tzinfo.tzname(dt) | 
 |  | 
 |    Return the time zone name corresponding to the :class:`.datetime` object *dt*, as | 
 |    a string. Nothing about string names is defined by the :mod:`datetime` module, | 
 |    and there's no requirement that it mean anything in particular.  For example, | 
 |    "GMT", "UTC", "-500", "-5:00", "EDT", "US/Eastern", "America/New York" are all | 
 |    valid replies.  Return ``None`` if a string name isn't known.  Note that this is | 
 |    a method rather than a fixed string primarily because some :class:`tzinfo` | 
 |    subclasses will wish to return different names depending on the specific value | 
 |    of *dt* passed, especially if the :class:`tzinfo` class is accounting for | 
 |    daylight time. | 
 |  | 
 |    The default implementation of :meth:`tzname` raises :exc:`NotImplementedError`. | 
 |  | 
 |  | 
 | These methods are called by a :class:`.datetime` or :class:`.time` object, in | 
 | response to their methods of the same names.  A :class:`.datetime` object passes | 
 | itself as the argument, and a :class:`.time` object passes ``None`` as the | 
 | argument.  A :class:`tzinfo` subclass's methods should therefore be prepared to | 
 | accept a *dt* argument of ``None``, or of class :class:`.datetime`. | 
 |  | 
 | When ``None`` is passed, it's up to the class designer to decide the best | 
 | response.  For example, returning ``None`` is appropriate if the class wishes to | 
 | say that time objects don't participate in the :class:`tzinfo` protocols.  It | 
 | may be more useful for ``utcoffset(None)`` to return the standard UTC offset, as | 
 | there is no other convention for discovering the standard offset. | 
 |  | 
 | When a :class:`.datetime` object is passed in response to a :class:`.datetime` | 
 | method, ``dt.tzinfo`` is the same object as *self*.  :class:`tzinfo` methods can | 
 | rely on this, unless user code calls :class:`tzinfo` methods directly.  The | 
 | intent is that the :class:`tzinfo` methods interpret *dt* as being in local | 
 | time, and not need worry about objects in other timezones. | 
 |  | 
 | There is one more :class:`tzinfo` method that a subclass may wish to override: | 
 |  | 
 |  | 
 | .. method:: tzinfo.fromutc(dt) | 
 |  | 
 |    This is called from the default :class:`datetime.astimezone()` | 
 |    implementation.  When called from that, ``dt.tzinfo`` is *self*, and *dt*'s | 
 |    date and time data are to be viewed as expressing a UTC time.  The purpose | 
 |    of :meth:`fromutc` is to adjust the date and time data, returning an | 
 |    equivalent datetime in *self*'s local time. | 
 |  | 
 |    Most :class:`tzinfo` subclasses should be able to inherit the default | 
 |    :meth:`fromutc` implementation without problems.  It's strong enough to handle | 
 |    fixed-offset time zones, and time zones accounting for both standard and | 
 |    daylight time, and the latter even if the DST transition times differ in | 
 |    different years.  An example of a time zone the default :meth:`fromutc` | 
 |    implementation may not handle correctly in all cases is one where the standard | 
 |    offset (from UTC) depends on the specific date and time passed, which can happen | 
 |    for political reasons. The default implementations of :meth:`astimezone` and | 
 |    :meth:`fromutc` may not produce the result you want if the result is one of the | 
 |    hours straddling the moment the standard offset changes. | 
 |  | 
 |    Skipping code for error cases, the default :meth:`fromutc` implementation acts | 
 |    like:: | 
 |  | 
 |       def fromutc(self, dt): | 
 |           # raise ValueError error if dt.tzinfo is not self | 
 |           dtoff = dt.utcoffset() | 
 |           dtdst = dt.dst() | 
 |           # raise ValueError if dtoff is None or dtdst is None | 
 |           delta = dtoff - dtdst  # this is self's standard offset | 
 |           if delta: | 
 |               dt += delta   # convert to standard local time | 
 |               dtdst = dt.dst() | 
 |               # raise ValueError if dtdst is None | 
 |           if dtdst: | 
 |               return dt + dtdst | 
 |           else: | 
 |               return dt | 
 |  | 
 | Example :class:`tzinfo` classes: | 
 |  | 
 | .. literalinclude:: ../includes/tzinfo-examples.py | 
 |  | 
 | Note that there are unavoidable subtleties twice per year in a :class:`tzinfo` | 
 | subclass accounting for both standard and daylight time, at the DST transition | 
 | points.  For concreteness, consider US Eastern (UTC -0500), where EDT begins the | 
 | minute after 1:59 (EST) on the second Sunday in March, and ends the minute after | 
 | 1:59 (EDT) on the first Sunday in November:: | 
 |  | 
 |      UTC   3:MM  4:MM  5:MM  6:MM  7:MM  8:MM | 
 |      EST  22:MM 23:MM  0:MM  1:MM  2:MM  3:MM | 
 |      EDT  23:MM  0:MM  1:MM  2:MM  3:MM  4:MM | 
 |  | 
 |    start  22:MM 23:MM  0:MM  1:MM  3:MM  4:MM | 
 |  | 
 |      end  23:MM  0:MM  1:MM  1:MM  2:MM  3:MM | 
 |  | 
 | When DST starts (the "start" line), the local wall clock leaps from 1:59 to | 
 | 3:00.  A wall time of the form 2:MM doesn't really make sense on that day, so | 
 | ``astimezone(Eastern)`` won't deliver a result with ``hour == 2`` on the day DST | 
 | begins.  In order for :meth:`astimezone` to make this guarantee, the | 
 | :meth:`tzinfo.dst` method must consider times in the "missing hour" (2:MM for | 
 | Eastern) to be in daylight time. | 
 |  | 
 | When DST ends (the "end" line), there's a potentially worse problem: there's an | 
 | hour that can't be spelled unambiguously in local wall time: the last hour of | 
 | daylight time.  In Eastern, that's times of the form 5:MM UTC on the day | 
 | daylight time ends.  The local wall clock leaps from 1:59 (daylight time) back | 
 | to 1:00 (standard time) again. Local times of the form 1:MM are ambiguous. | 
 | :meth:`astimezone` mimics the local clock's behavior by mapping two adjacent UTC | 
 | hours into the same local hour then.  In the Eastern example, UTC times of the | 
 | form 5:MM and 6:MM both map to 1:MM when converted to Eastern.  In order for | 
 | :meth:`astimezone` to make this guarantee, the :meth:`tzinfo.dst` method must | 
 | consider times in the "repeated hour" to be in standard time.  This is easily | 
 | arranged, as in the example, by expressing DST switch times in the time zone's | 
 | standard local time. | 
 |  | 
 | Applications that can't bear such ambiguities should avoid using hybrid | 
 | :class:`tzinfo` subclasses; there are no ambiguities when using :class:`timezone`, | 
 | or any other fixed-offset :class:`tzinfo` subclass (such as a class representing | 
 | only EST (fixed offset -5 hours), or only EDT (fixed offset -4 hours)). | 
 |  | 
 | .. seealso:: | 
 |  | 
 |    `pytz <http://pypi.python.org/pypi/pytz/>`_ | 
 |       The standard library has no :class:`tzinfo` instances except for UTC, but | 
 |       there exists a third-party library which brings the *IANA timezone | 
 |       database* (also known as the Olson database) to Python: *pytz*. | 
 |  | 
 |       *pytz* contains up-to-date information and its usage is recommended. | 
 |  | 
 |    `IANA timezone database <http://www.iana.org/time-zones>`_ | 
 |       The Time Zone Database (often called tz or zoneinfo) contains code and | 
 |       data that represent the history of local time for many representative | 
 |       locations around the globe. It is updated periodically to reflect changes | 
 |       made by political bodies to time zone boundaries, UTC offsets, and | 
 |       daylight-saving rules. | 
 |  | 
 |  | 
 | .. _datetime-timezone: | 
 |  | 
 | :class:`timezone` Objects | 
 | -------------------------- | 
 |  | 
 | The :class:`timezone` class is a subclass of :class:`tzinfo`, each | 
 | instance of which represents a timezone defined by a fixed offset from | 
 | UTC.  Note that objects of this class cannot be used to represent | 
 | timezone information in the locations where different offsets are used | 
 | in different days of the year or where historical changes have been | 
 | made to civil time. | 
 |  | 
 |  | 
 | .. class:: timezone(offset[, name]) | 
 |  | 
 |   The *offset* argument must be specified as a :class:`timedelta` | 
 |   object representing the difference between the local time and UTC.  It must | 
 |   be strictly between ``-timedelta(hours=24)`` and | 
 |   ``timedelta(hours=24)`` and represent a whole number of minutes, | 
 |   otherwise :exc:`ValueError` is raised. | 
 |  | 
 |   The *name* argument is optional.  If specified it must be a string that | 
 |   is used as the value returned by the ``tzname(dt)`` method.  Otherwise, | 
 |   ``tzname(dt)`` returns a string 'UTCsHH:MM', where s is the sign of | 
 |   *offset*, HH and MM are two digits of ``offset.hours`` and | 
 |   ``offset.minutes`` respectively. | 
 |  | 
 | .. method:: timezone.utcoffset(dt) | 
 |  | 
 |   Return the fixed value specified when the :class:`timezone` instance is | 
 |   constructed.  The *dt* argument is ignored.  The return value is a | 
 |   :class:`timedelta` instance equal to the difference between the | 
 |   local time and UTC. | 
 |  | 
 | .. method:: timezone.tzname(dt) | 
 |  | 
 |   Return the fixed value specified when the :class:`timezone` instance is | 
 |   constructed or a string 'UTCsHH:MM', where s is the sign of | 
 |   *offset*, HH and MM are two digits of ``offset.hours`` and | 
 |   ``offset.minutes`` respectively. | 
 |  | 
 | .. method:: timezone.dst(dt) | 
 |  | 
 |   Always returns ``None``. | 
 |  | 
 | .. method:: timezone.fromutc(dt) | 
 |  | 
 |   Return ``dt + offset``.  The *dt* argument must be an aware | 
 |   :class:`.datetime` instance, with ``tzinfo`` set to ``self``. | 
 |  | 
 | Class attributes: | 
 |  | 
 | .. attribute:: timezone.utc | 
 |  | 
 |    The UTC timezone, ``timezone(timedelta(0))``. | 
 |  | 
 |  | 
 | .. _strftime-strptime-behavior: | 
 |  | 
 | :meth:`strftime` and :meth:`strptime` Behavior | 
 | ---------------------------------------------- | 
 |  | 
 | :class:`date`, :class:`.datetime`, and :class:`.time` objects all support a | 
 | ``strftime(format)`` method, to create a string representing the time under the | 
 | control of an explicit format string.  Broadly speaking, ``d.strftime(fmt)`` | 
 | acts like the :mod:`time` module's ``time.strftime(fmt, d.timetuple())`` | 
 | although not all objects support a :meth:`timetuple` method. | 
 |  | 
 | Conversely, the :meth:`datetime.strptime` class method creates a | 
 | :class:`.datetime` object from a string representing a date and time and a | 
 | corresponding format string. ``datetime.strptime(date_string, format)`` is | 
 | equivalent to ``datetime(*(time.strptime(date_string, format)[0:6]))``. | 
 |  | 
 | For :class:`.time` objects, the format codes for year, month, and day should not | 
 | be used, as time objects have no such values.  If they're used anyway, ``1900`` | 
 | is substituted for the year, and ``1`` for the month and day. | 
 |  | 
 | For :class:`date` objects, the format codes for hours, minutes, seconds, and | 
 | microseconds should not be used, as :class:`date` objects have no such | 
 | values.  If they're used anyway, ``0`` is substituted for them. | 
 |  | 
 | For a naive object, the ``%z`` and ``%Z`` format codes are replaced by empty | 
 | strings. | 
 |  | 
 | For an aware object: | 
 |  | 
 | ``%z`` | 
 |    :meth:`utcoffset` is transformed into a 5-character string of the form +HHMM or | 
 |    -HHMM, where HH is a 2-digit string giving the number of UTC offset hours, and | 
 |    MM is a 2-digit string giving the number of UTC offset minutes.  For example, if | 
 |    :meth:`utcoffset` returns ``timedelta(hours=-3, minutes=-30)``, ``%z`` is | 
 |    replaced with the string ``'-0330'``. | 
 |  | 
 | ``%Z`` | 
 |    If :meth:`tzname` returns ``None``, ``%Z`` is replaced by an empty string. | 
 |    Otherwise ``%Z`` is replaced by the returned value, which must be a string. | 
 |  | 
 | The full set of format codes supported varies across platforms, because Python | 
 | calls the platform C library's :func:`strftime` function, and platform | 
 | variations are common. | 
 |  | 
 | The following is a list of all the format codes that the C standard (1989 | 
 | version) requires, and these work on all platforms with a standard C | 
 | implementation.  Note that the 1999 version of the C standard added additional | 
 | format codes. | 
 |  | 
 | +-----------+--------------------------------+-------+ | 
 | | Directive | Meaning                        | Notes | | 
 | +===========+================================+=======+ | 
 | | ``%a``    | Locale's abbreviated weekday   |       | | 
 | |           | name.                          |       | | 
 | +-----------+--------------------------------+-------+ | 
 | | ``%A``    | Locale's full weekday name.    |       | | 
 | +-----------+--------------------------------+-------+ | 
 | | ``%b``    | Locale's abbreviated month     |       | | 
 | |           | name.                          |       | | 
 | +-----------+--------------------------------+-------+ | 
 | | ``%B``    | Locale's full month name.      |       | | 
 | +-----------+--------------------------------+-------+ | 
 | | ``%c``    | Locale's appropriate date and  |       | | 
 | |           | time representation.           |       | | 
 | +-----------+--------------------------------+-------+ | 
 | | ``%d``    | Day of the month as a decimal  |       | | 
 | |           | number [01,31].                |       | | 
 | +-----------+--------------------------------+-------+ | 
 | | ``%f``    | Microsecond as a decimal       | \(1)  | | 
 | |           | number [0,999999], zero-padded |       | | 
 | |           | on the left                    |       | | 
 | +-----------+--------------------------------+-------+ | 
 | | ``%H``    | Hour (24-hour clock) as a      |       | | 
 | |           | decimal number [00,23].        |       | | 
 | +-----------+--------------------------------+-------+ | 
 | | ``%I``    | Hour (12-hour clock) as a      |       | | 
 | |           | decimal number [01,12].        |       | | 
 | +-----------+--------------------------------+-------+ | 
 | | ``%j``    | Day of the year as a decimal   |       | | 
 | |           | number [001,366].              |       | | 
 | +-----------+--------------------------------+-------+ | 
 | | ``%m``    | Month as a decimal number      |       | | 
 | |           | [01,12].                       |       | | 
 | +-----------+--------------------------------+-------+ | 
 | | ``%M``    | Minute as a decimal number     |       | | 
 | |           | [00,59].                       |       | | 
 | +-----------+--------------------------------+-------+ | 
 | | ``%p``    | Locale's equivalent of either  | \(2)  | | 
 | |           | AM or PM.                      |       | | 
 | +-----------+--------------------------------+-------+ | 
 | | ``%S``    | Second as a decimal number     | \(3)  | | 
 | |           | [00,59].                       |       | | 
 | +-----------+--------------------------------+-------+ | 
 | | ``%U``    | Week number of the year        | \(4)  | | 
 | |           | (Sunday as the first day of    |       | | 
 | |           | the week) as a decimal number  |       | | 
 | |           | [00,53].  All days in a new    |       | | 
 | |           | year preceding the first       |       | | 
 | |           | Sunday are considered to be in |       | | 
 | |           | week 0.                        |       | | 
 | +-----------+--------------------------------+-------+ | 
 | | ``%w``    | Weekday as a decimal number    |       | | 
 | |           | [0(Sunday),6].                 |       | | 
 | +-----------+--------------------------------+-------+ | 
 | | ``%W``    | Week number of the year        | \(4)  | | 
 | |           | (Monday as the first day of    |       | | 
 | |           | the week) as a decimal number  |       | | 
 | |           | [00,53].  All days in a new    |       | | 
 | |           | year preceding the first       |       | | 
 | |           | Monday are considered to be in |       | | 
 | |           | week 0.                        |       | | 
 | +-----------+--------------------------------+-------+ | 
 | | ``%x``    | Locale's appropriate date      |       | | 
 | |           | representation.                |       | | 
 | +-----------+--------------------------------+-------+ | 
 | | ``%X``    | Locale's appropriate time      |       | | 
 | |           | representation.                |       | | 
 | +-----------+--------------------------------+-------+ | 
 | | ``%y``    | Year without century as a      |       | | 
 | |           | decimal number [00,99].        |       | | 
 | +-----------+--------------------------------+-------+ | 
 | | ``%Y``    | Year with century as a decimal | \(5)  | | 
 | |           | number [0001,9999].            |       | | 
 | +-----------+--------------------------------+-------+ | 
 | | ``%z``    | UTC offset in the form +HHMM   | \(6)  | | 
 | |           | or -HHMM (empty string if the  |       | | 
 | |           | the object is naive).          |       | | 
 | +-----------+--------------------------------+-------+ | 
 | | ``%Z``    | Time zone name (empty string   |       | | 
 | |           | if the object is naive).       |       | | 
 | +-----------+--------------------------------+-------+ | 
 | | ``%%``    | A literal ``'%'`` character.   |       | | 
 | +-----------+--------------------------------+-------+ | 
 |  | 
 | Notes: | 
 |  | 
 | (1) | 
 |    When used with the :meth:`strptime` method, the ``%f`` directive | 
 |    accepts from one to six digits and zero pads on the right.  ``%f`` is | 
 |    an extension to the set of format characters in the C standard (but | 
 |    implemented separately in datetime objects, and therefore always | 
 |    available). | 
 |  | 
 | (2) | 
 |    When used with the :meth:`strptime` method, the ``%p`` directive only affects | 
 |    the output hour field if the ``%I`` directive is used to parse the hour. | 
 |  | 
 | (3) | 
 |    Unlike :mod:`time` module, :mod:`datetime` module does not support | 
 |    leap seconds. | 
 |  | 
 | (4) | 
 |    When used with the :meth:`strptime` method, ``%U`` and ``%W`` are only used in | 
 |    calculations when the day of the week and the year are specified. | 
 |  | 
 | (5) | 
 |    The :meth:`strptime` method can | 
 |    parse years in the full [1, 9999] range, but years < 1000 must be | 
 |    zero-filled to 4-digit width. | 
 |  | 
 |    .. versionchanged:: 3.2 | 
 |       In previous versions, :meth:`strftime` method was restricted to | 
 |       years >= 1900. | 
 |  | 
 |    .. versionchanged:: 3.3 | 
 |       In version 3.2, :meth:`strftime` method was restricted to | 
 |       years >= 1000. | 
 |  | 
 | (6) | 
 |    For example, if :meth:`utcoffset` returns ``timedelta(hours=-3, minutes=-30)``, | 
 |    ``%z`` is replaced with the string ``'-0330'``. | 
 |  | 
 | .. versionchanged:: 3.2 | 
 |    When the ``%z`` directive is provided to the :meth:`strptime` method, an | 
 |    aware :class:`.datetime` object will be produced.  The ``tzinfo`` of the | 
 |    result will be set to a :class:`timezone` instance. | 
 |  | 
 | .. rubric:: Footnotes | 
 |  | 
 | .. [#] If, that is, we ignore the effects of Relativity |