
    A>iG             
      h   S r SSKJr  SSKJrJrJrJrJr  SSK	r	SSK
r
SSKrSSKJr  SSKJrJrJrJrJrJrJr  SSKrSSKrSSKJrJrJr  SSKJr  SS	KJ r   SS
K!J"r"J#r#  SSK$J%r%  SSK&J'r(  SSK)J*r*J+r+J,r,  SSK-J.r.J/r/  SSK0J1r1J2r2J3r3J4r4  SSK5J6r6  SSK7J8r8J9r9J:r:  SSK;J<r<  SSK=J>r>J?r?J@r@JArAJBrBJCrC  SSKDJErEJFrFJGrGJHrHJIrIJJrJJKrKJLrLJMrM  SSKNJOrO  SSKPJQrQJRrR  SSKSJTrT  SSKUJVrVJWrWJXrXJYrY  SSKZJ[r[J\r\J]r^J_r_J`r`Jara  SSKbJcrc  SSKdJere  SSKfJgrg  SSKhJiriJjrj  SSKkJlrl  SSKmJnrn  SS KoJprqJrrrJsrs  SS!KtJuru  SS"KvJwrwJxrx  SS#KyJzrz  SS$K{J|r|J}r}J~r~JrJrJrJr  SSKJs  Js  J\r  SS%KJr  SS&KJrJr  SS'KJr  SS(KJr  SS)KJr  SS*KJrJr  SS+KJr  SS,KJr  SSKJs  Js  Jr  SS-KJr  SSKr\(       aX  SS.KJr  SS/KJrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJr  SS0KJr  SS1KJr  S2/rS3S2S4S5S6S7S2S8S9S:.	r\4" S;5       " S< S2\\GR                  \u5      5       rg)=zG
Data structure for 1-dimensional cross-sectional and time series data
    )annotations)CallableHashableIterableMappingSequenceN)dedent)IOTYPE_CHECKINGAnyLiteralSelfcastoverload)lib
propertiesreshape)is_range_indexer)CHAINED_WARNING_DISABLED)	REF_COUNTREF_COUNT_METHOD)import_optional_dependency)function)ChainedAssignmentErrorInvalidIndexErrorPandas4Warning)%_chained_assignment_method_update_msg_chained_assignment_msg)Appenderdeprecate_nonkeyword_argumentsdoc
set_module)find_stack_level)validate_ascendingvalidate_bool_kwargvalidate_percentile)astype_is_view)LossySetitemError"construct_1d_arraylike_from_scalarfind_common_typeinfer_dtype_frommaybe_box_nativemaybe_unbox_numpy_scalar)	is_dict_likeis_float
is_integeris_iteratoris_list_likeis_object_dtype	is_scalarpandas_dtypevalidate_all_hashable)ExtensionDtype)ABCDataFrame	ABCSeries)is_hashable)isnana_value_for_dtypenotnaremove_na_arraylike)
algorithmsbasecommonnanopsops	roperator)Accessor)SeriesApply)ExtensionArray)ListAccessorStructAccessor)CategoricalAccessor)SparseAccessor)arrayextract_arraysanitize_array)NDFrame)disallow_ndim_indexingunpack_1tuple)CombinedDatetimelikeProperties)DatetimeIndexIndex
MultiIndexPeriodIndexdefault_indexensure_indexmaybe_sequence_to_range)maybe_droplevels)check_bool_indexercheck_dict_or_set_indexers)SingleBlockManager)selectn)_shared_docs)ensure_key_mappednargsort)StringMethods)to_datetime)
SeriesInfo)BlockValuesRefs)!AggFuncTypeAnyAllAnyArrayLike	ArrayLikeArrowArrayExportableArrowStreamExportableAxisAxisIntCorrelationMethodDropKeepDtypeDtypeObjFilePath	FrequencyIgnoreRaiseIndexKeyFunc
IndexLabelLevelListLikeMutableMappingT
NaPositionNumpySorterNumpyValueArrayLikeQuantileInterpolationReindexMethodRenamerScalarSortKindStorageOptionsSuffixesValueKeyFuncWriteBuffernpt	DataFrameSeriesGroupBySeriesindexz{0 or 'index'}zXaxis : {0 or 'index'}
        Unused. Parameter needed for compatibility with DataFrame.z[inplace : bool, default False
        If True, performs operation inplace and returns None.
np.ndarray z
index : array-like, optional
    New labels for the index. Preferably an Index object to avoid
    duplicating data.
axis : int or str, optional
    Unused.)	axesklassaxes_single_argaxisinplaceunique
duplicatedoptional_byoptional_reindexpandasc                  2   ^  \ rS rSr% SrSr\\\R                  4r
S\S'   S/rS\S'   SS	1\R                  -  r1 S
kr\R"                  R$                  \R$                  -  \" / 5      -  rSr\" \R"                  R,                  R.                  \R"                  R,                  R                  S9rS\S'        GS!     GS"S jjr GS#     GS$S jjrGS%S jr\GS&S j5       rS r\GS'S j5       rS r\GS(S j5       r\GS)S j5       r \GS)S j5       r!\GS*S j5       r"\"RF                  GS+S j5       r"\S 5       r$\S 5       r%\GS,S j5       r&\'" \R"                  RP                  R                  5      \GS-S j5       5       r(GS.S  jr) GS#     GS/S! jjr*\GS0S" j5       r+GS1GS2S$ jjr,GS1GS3S% jjr-S& r.S' r/GS4S( jr0GS5S) jr1GS6GS7S+ jjr2GS8S, jr3GS8S- jr4GS8S. jr5GS8S/ jr6GS8S0 jr7GS6GS9S1 jjr8GS%GS:S2 jjr9\: GS;S3S3S3S3S4.           GS<S5 jjj5       r;\: GS;S3S3S3S6.           GS=S7 jjj5       r;\: GS;S3S3S3S8.           GS>S9 jjj5       r; GS%S*\<Rz                  S*S*S4.           GS?S: jjjr;GS@S< jr>\: GS;S3S3S3S3S3S3S3S3S3S=.	                 GSAS? jjj5       r?\:S3S3S3S3S3S3S3S3S3S=.	                 GSBS@ jj5       r?\@" \ASAS>/SBSC9          GSC                     GSDSE jj5       r?\: GS;S3S3S3SF.         GSESG jjj5       rB\:S3S3S3SF.         GSFSH jj5       rB\:S3S3S3SF.         GSGSI jj5       rB\@" \ASAS>/SJSC9    GSH         GSGSK jj5       rBGSISL jrCGSJSM jrD\:    GSKSN j5       rE\:S3SO.GSLSP jj5       rE\FSO.   GSKSQ jjrE\<Rz                  4GSMSR jjrG\HGSNSS j5       rIGS6GSOST jjrJ\'" \K" SU5      5      \'" \LSV   \M-  5      \@" \A/ SWQSVSC9       GSP             GSQSX jj5       5       5       rNGS.SY jrOGSRGSSSZ jjrPGSTU 4S[ jjrQ\:S3S3S3S\.       GSUS] jj5       rR\:S3S3S^.       GSVS_ jj5       rR\:S3S3S3S\.       GSWS` jj5       rRSaS*S*S\.       GSWU 4Sb jjjrRGSXGSYSc jjrSGSZGS[Sd jjrTGSZGS[Se jjrUGS1GS\Sf jjrV\: GS]     GS^Sg jj5       rW\: GS;     GS_Sh jj5       rW\:  GS]     GS`Si jj5       rW  GSa     GS`Sj jjrW  GSb       GScSk jjrX  GSd       GSeSl jjrYGSfGSgSm jjrZGSfGShSn jjr[GSiSo jr\Sp r]Sq r^  GSj       GSkSr jjr_GS6GSlSs jjr`    GSm           GSnU 4St jjjra GS%       GSoSu jjrbGSpSv jrcGSqSw jrd\:S3S3S3S3S3S3S3Sx.               GSrSy jj5       re\:S3S3S3S3S3S3Sz.               GSsS{ jj5       re\:S3S3S3S3S3S3S3Sx.               GStS| jj5       reS#SDS*S}S~S*SSx.               GSuS jjre\:S3S3S3S3S3S3S3S3S.                   GSvS jj5       rf\:S3S3S3S3S3S3S3S3S3S.	                   GSwS jj5       rf\:S3S3S3S3S3S3S3S3S3S.	                   GSxS jj5       rfS#SSDS*S}S~SDS*SS.	                   GSyU 4S jjjrf    GSz         GS{S jjrg GS|     GS}S jjrh GS|     GS}S jjriSS\<Rz                  4       GS~S jjrjGSS jrkGS6GSS jjrl   GS       GSS jjrm   GS       GSS jjrnGS%GSS jjro\K" S5      rp\K" S5      rqGSGSS jjrr\rrs GS1     GSS jjrt GSSS.       GSS jjjru      GSS jrvGS(S jrw\: GS;S3S3S3S3S.             GSS jjj5       rx\: GS;S3S3S3S3S3S.             GSS jjj5       rx GS%S\<Rz                  S*SSS.             GSU 4S jjjjrxS#\<Rz                  S.     GSU 4S jjjry GS%SS\<Rz                  SSSSS.             GSU 4S jjjjrz\: GS;S3S3S3S.         GSS jjj5       r{\: GS;S3S3S3S3S.         GSS jjj5       r{\: GS;S3S3S3S3S.         GSS jjj5       r{\<Rz                  4\<Rz                  S#\<Rz                  S*S.         GSU 4S jjjjr{\: GS;S3S3S3S3S3S.               GSS jjj5       r|\: GS;S3S3S3S3S3S3S.               GSS jjj5       r|\: GS;S3S3S3S3S3S3S.               GSS jjj5       r| GS%S#SSSS*SS.               GSU 4S jjjjr|GSU 4S jjr}     GS           GSS jjr~GSGSS jjrGSpS jr GS   GSS jjr    GSS jrGSpS jr\" \GR                  \MS   S9GSpU 4S jj5       rGSpU 4S jjr\" \GR                  \MS   S9GSpU 4S jj5       r\:S3S3S3S3S.         GSS jj5       r\:S3S3S3S.         GSS jj5       rS#S*SS*S.         GSS jjrSS\<Rz                  4       GSS jjrS\<Rz                  4     GSS jjrS/rS\S'   \" \5      rS#rS\S'   SrS\S'   \GR"                  " S#SS9r\" S;\5      r\" S\5      r\" S\5      r\" S\GR6                  GR8                  5      r\" S\5      r\" S\5      r\" S\5      r\GR6                  GRH                  rS rS rS rGS6GSS jjrGS#GSS jjr        GSS jrSSS#S.GSS jjr   GS       GSS jjr\'" \GR^                  " SS5      5      GSGSS jj5       rGSGSS jjr\'" \GR^                  " SS5      5      GSGSS jj5       rGSGSS jjr\'" \GR^                  " SS5      5      GSGSS jj5       rGSGSS jjr\'" \GR^                  " SS5      5      GSGSS jj5       r\'" \GR^                  " SS5      5      GSGSS jj5       r\r\'" \GR^                  " SS5      5      GSGSS jj5       r   GS       GSS jjr\r\'" \GR^                  " SS5      5      GSGSS jj5       rGSGSS jjr\r\r\'" \GR^                  " SS5      5      GSGSS jj5       r\r\'" \GR^                  " SS5      5      GSGSS jj5       r\'" \GR^                  " SS5      5      GSGSS jj5       rGSGSS jjr\'" \GR^                  " SS5      5      GSGSS jj5       r\'" \GR^                  " SS5      5      GSGSS jj5       r\'" \GR^                  " SS5      5      GSGSS jj5       r\'" \GR^                  " SS5      5      GSGSS jj5       r\'" \GR^                  " SS5      5      GSGSS jj5       rS#SDS*SGS .       GSGS jjrS#S*SDGS.       GSGS jjr\@" \ASA/GSSC9   GS       GSGS jj5       r\@" \ASA/GSSC9   GS     GSGS jj5       r\@" \ASA/GSSC9   GS     GSGS	 jj5       r\@" \ASA/GS
SC9    GS       GSGS jj5       r\@" \ASA/GSSC9    GS       GSGS jj5       r\@" \ASA/GSSC9   GS       GSGS jj5       r\@" \ASA/GSSC9   GS       GSGS jj5       r\@" \ASA/GSSC9    GS       GSGS jj5       r\@" \ASA/GSSC9    GS       GSGS jj5       r\@" \ASA/GSSC9    GS       GSGS jj5       r\@" \ASA/GSSC9   GS     GSGS jj5       r\@" \ASA/GSSC9   GS     GSGS jj5       r\r\rGSZGSGS jjrGSZGSGS jjrGSZGSGS jjrGSZGSGS jjrGS rU =r$ (  r      aF  
One-dimensional ndarray with axis labels (including time series).

Labels need not be unique but must be a hashable type. The object
supports both integer- and label-based indexing and provides a host of
methods for performing operations involving the index. Statistical
methods from ndarray have been overridden to automatically exclude
missing data (currently represented as NaN).

Operations between Series (+, -, /, \*, \*\*) align values based on their
associated index values-- they need not be the same length. The result
index will be the sorted union of the two indexes.

Parameters
----------
data : array-like, Iterable, dict, or scalar value
    Contains data stored in Series. If data is a dict, argument order is
    maintained. Unordered sets are not supported.
index : array-like or Index (1d)
    Values must be hashable and have the same length as `data`.
    Non-unique index values are allowed. Will default to
    RangeIndex (0, 1, 2, ..., n) if not provided. If data is dict-like
    and index is None, then the keys in the data are used as the index. If the
    index is not None, the resulting Series is reindexed with the index values.
dtype : str, numpy.dtype, or ExtensionDtype, optional
    Data type for the output Series. If not specified, this will be
    inferred from `data`.
    See the :ref:`user guide <basics.dtypes>` for more usages.
name : Hashable, default None
    The name to give to the Series.
copy : bool, default None
    Whether to copy input data, only relevant for array, Series, and Index
    inputs (for other input, e.g. a list, a new array is created anyway).
    Defaults to True for array input and False for Index/Series.
    Even when False for Index/Series, a shallow copy of the data is made.
    Set to False to avoid copying array input at your own risk (if you
    know the input data won't be modified elsewhere).
    Set to True to force copying Series/Index input up front.

See Also
--------
DataFrame : Two-dimensional, size-mutable, potentially heterogeneous tabular data.
Index : Immutable sequence used for indexing and alignment.

Notes
-----
Please reference the :ref:`User Guide <basics.series>` for more information.

Examples
--------
Constructing Series from a dictionary with an Index specified

>>> d = {"a": 1, "b": 2, "c": 3}
>>> ser = pd.Series(data=d, index=["a", "b", "c"])
>>> ser
a   1
b   2
c   3
dtype: int64

The keys of the dictionary match with the Index values, hence the Index
values have no effect.

>>> d = {"a": 1, "b": 2, "c": 3}
>>> ser = pd.Series(data=d, index=["x", "y", "z"])
>>> ser
x   NaN
y   NaN
z   NaN
dtype: float64

Note that the Index is first built with the keys from the dictionary.
After this the Series is reindexed with the given Index values, hence we
get all NaN as a result.

Constructing Series from a list with `copy=False`.

>>> r = [1, 2]
>>> ser = pd.Series(r, copy=False)
>>> ser.iloc[0] = 999
>>> r
[1, 2]
>>> ser
0    999
1      2
dtype: int64

Due to input data type the Series has a `copy` of
the original data even though `copy=False`, so
the data is unchanged.

Constructing Series from a 1d ndarray with `copy=False`.

>>> r = np.array([1, 2])
>>> ser = pd.Series(r, copy=False)
>>> ser.iloc[0] = 999
>>> r
array([999,   2])
>>> ser
0    999
1      2
dtype: int64

Due to input data type the Series has a `view` on
the original data, so
the data is changed as well.
seriesr   _namez	list[str]	_metadatar   name>   dtcatstrsparsei  )r!   r]   _mgrNc                
   Sn[        U[        5      (       a  Uc  Uc  USL d  Ucz  U(       dG  [        R                  " S[	        U5      R
                   S[	        U 5      R
                   S3[        SS9  UR                  SS9n[        R                  " X5        X@l
        g [        U[        [        R                  45      (       a>  USLa9  Ub$  [        UR                  [!        U5      5      (       a  UR                  5       nSnUc  Sn[        U[        5      (       af  U(       d_  UR                  SS9nU(       dI  [        R                  " S[	        U5      R
                   S[	        U 5      R
                   S3[        SS9  Sn["        R$                  " XA[	        U 5      5      nUb  ['        U5      nUb  U R)                  U5      nUc9  Ub  UO
[+        S	5      n[-        U5      (       d  Ub  [/        [!        U5      SS
9nO/ n[        U[0        5      (       a  [3        S5      eS n[        U[4        5      (       a)  Ub  UR7                  U5      nU(       d  UR8                  nGO[        U[        R                  5      (       a'  [-        UR                  5      (       a  [;        S5      eGO[        U[<        5      (       aa  Uc'  UR>                  nUR@                  R                  SS9nGOwURC                  U5      nUR@                  nURE                  S	5      (       a  SnGO@[        U[F        5      (       a  U RI                  XU5      u  pS nSnGO[        U[        5      (       a  Uc  UR>                  nO2UR>                  RK                  U5      (       a  U(       a  [M        S5      eU(       dI  [        R                  " S[	        U5      R
                   S[	        U 5      R
                   S3[        SS9  SnOi[        U[        5      (       a  OS[N        RP                  " U5      n[S        U5      (       a-  [-        U5      (       d  Uc  [        R                  " [T        5      nUc(  [S        U5      (       d  U/n[+        [-        U5      5      nO&[S        U5      (       a  [N        RV                  " X5        [        U[        5      (       aO  Ub5  [        UR                  [!        U5      5      (       d  SnUR7                  US9nU(       a  UR                  SS9nO![Y        XX55      n[        RZ                  " XUS9n[        R                  " X5        X@l
        U R]                  S	U5        g )NFz
Passing a z to zK is deprecated and will raise in a future version. Use public APIs instead.   
stackleveldeepTr   compatz8initializing a Series from a MultiIndex is not supportedzVCannot construct a Series from an ndarray with compound dtype.  Use DataFrame instead.zkCannot pass both SingleBlockManager `data` argument and a different `index` argument. `copy` must be False.dtype)refs)/
isinstancer]   warningswarntype__name__r   copyrO   __init__r   rG   npndarrayr'   r   r5   ibasemaybe_extract_namerX   _validate_dtyperW   lenr<   rU   NotImplementedErrorrT   astype_references
ValueErrorr   r   r   reindex_has_no_referencer   
_init_dictequalsAssertionErrorcommaybe_iterable_to_listr2   objectrequire_length_matchrN   
from_array	_set_axis)selfdatar   r   r   r   	allow_mgrr   s           Q/var/www/html/land-tabula/venv/lib/python3.13/site-packages/pandas/core/series.pyr   Series.__init__q  s    	t/00$, d!4!4 5T$t*:M:M9N O/ / #  99%9(DT(Id^RZZ8995 =N4::|E?R$S$S99;D D<Dd.//99%9(D d!4!4 5T$t*:M:M9N O/ / #  !	''DJ? 'E((/E<".EM!4DE5zzU.),u*=eLdJ''%J  dE"" {{5)''bjj))4:: !>   f%%}

yy~~5~1||E*yy))!,, Dg&&//$u=KDED011}

ZZ&&u-- %>   d!4!4 5T$t*:M:M9N O/ / #  !	n----d3DD!!#d))(=%%v!#d),E$$$T1 d.// %djj,u2EFF D{{{/yydy+!$u;D%004HD$	q%     c                x   U(       a<  [        [        UR                  5       5      5      n[        UR	                  5       5      nO;Ub,  [        U5      (       d  Ub  [        [        U5      SS9nO/ nUnO[        S5      / pT[        XTUS9nU(       a  Ub  UR                  U5      nUR                  UR                  4$ )a  
Derive the "_mgr" and "index" attributes of a new Series from a
dictionary input.

Parameters
----------
data : dict or dict-like
    Data used to populate the new Series.
index : Index or None, default None
    Index for the new Series: if None, use dict keys.
dtype : np.dtype, ExtensionDtype, or None, default None
    The dtype for the new Series: if None, infer from data.

Returns
-------
_data : BlockManager for the new Series
index : index for the new Series
Fr   r   )r   r   )rY   tuplekeyslistvaluesr   r<   r5   rW   r   r   r   r   )r   r   r   r   r   r   ss          r   r   Series._init_dict	  s    . 
 +5+=>D$++-(F 5zzU.+L,?ND(+R& 6U3 E%		% Avvqwwr   c                    [        SSS9nUb  UR                  R                  U5      OSnUR                  XS9n[	        XBR
                  5      (       d  UR                  U/5      nUR                  5       $ )a  
Export the pandas Series as an Arrow C stream PyCapsule.

This relies on pyarrow to convert the pandas Series to the Arrow
format (and follows the default behavior of ``pyarrow.Array.from_pandas``
in its handling of the index, i.e. to ignore it).
This conversion is not necessarily zero-copy.

Parameters
----------
requested_schema : PyCapsule, default None
    The schema to which the dataframe should be casted, passed as a
    PyCapsule containing a C ArrowSchema representation of the
    requested schema.

Returns
-------
PyCapsule
pyarrowz16.0.0min_versionN)r   )r   DataType_import_from_c_capsulerL   r   ChunkedArraychunked_array__arrow_c_stream__)r   requested_schemapar   cas        r   r   Series.__arrow_c_stream__<  sw    ( (	xH  + KK../?@ 	
 XXdX&"oo..!!2$'B$$&&r   c                    [         $ N)r   r   s    r   _constructorSeries._constructor]  s    r   c                    [         R                  XS9nS Ul        [        U 5      [         L a  U$ U R	                  U5      $ Nr   )r   	_from_mgrr   r   r   )r   mgrr   sers       r   _constructor_from_mgrSeries._constructor_from_mgra  sB    s.	: J   %%r   c                    SSK Jn  U$ )ze
Used when a manipulation result has one higher dimension as the
original, such as Series.to_frame()
r   r   )pandas.core.framer   )r   r   s     r   _constructor_expanddimSeries._constructor_expanddimn  s     	0r   c                    SSK Jn  UR                  " XR                  S9n[	        U 5      [
        L a  U$ U R                  U5      $ )Nr   r   r   )r   r   r   r   r   r   r   )r   r   r   r   dfs        r   _constructor_expanddim_from_mgr&Series._constructor_expanddim_from_mgrx  s?    /  884: I **2..r   c                .    U R                   R                  $ r   )r   _can_hold_nar   s    r   r   Series._can_hold_na  s    yy%%%r   c                .    U R                   R                  $ )aw  
Return the dtype object of the underlying data.

See Also
--------
Series.dtypes : Return the dtype object of the underlying data.
Series.astype : Cast a pandas object to a specified dtype dtype.
Series.convert_dtypes : Convert columns to the best possible dtypes using dtypes
    supporting pd.NA.

Examples
--------
>>> s = pd.Series([1, 2, 3])
>>> s.dtype
dtype('int64')
)r   r   r   s    r   r   Series.dtype  s    $ yyr   c                    U R                   $ )z
Return the dtype object of the underlying data.

See Also
--------
DataFrame.dtypes :  Return the dtypes in the DataFrame.

Examples
--------
>>> s = pd.Series([1, 2, 3])
>>> s.dtypes
dtype('int64')
r   r   s    r   dtypesSeries.dtypes  s      zzr   c                    U R                   $ )a  
Return the name of the Series.

The name of a Series becomes its index or column name if it is used
to form a DataFrame. It is also used whenever displaying the Series
using the interpreter.

Returns
-------
label (hashable object)
    The name of the Series, also the column name if part of a DataFrame.

See Also
--------
Series.rename : Sets the Series name when given a scalar input.
Index.name : Corresponding Index property.

Examples
--------
The Series name can be set initially when calling the constructor.

>>> s = pd.Series([1, 2, 3], dtype=np.int64, name="Numbers")
>>> s
0    1
1    2
2    3
Name: Numbers, dtype: int64
>>> s.name = "Integers"
>>> s
0    1
1    2
2    3
Name: Integers, dtype: int64

The name of a Series within a DataFrame is its column name.

>>> df = pd.DataFrame(
...     [[1, 2], [3, 4], [5, 6]], columns=["Odd Numbers", "Even Numbers"]
... )
>>> df
   Odd Numbers  Even Numbers
0            1             2
1            3             4
2            5             6
>>> df["Even Numbers"].name
'Even Numbers'
)r   r   s    r   r   Series.name  s    b zzr   c                r    [        U[        U 5      R                   S3S9  [        R	                  U SU5        g )Nz.name)
error_namer   )r6   r   r   r   __setattr__)r   values     r   r   r    s0    e4:3F3F2Gu0MN4%0r   c                6    U R                   R                  5       $ )a  
Return Series as ndarray or ndarray-like depending on the dtype.

.. warning::

   We recommend using :attr:`Series.array` or
   :meth:`Series.to_numpy`, depending on whether you need
   a reference to the underlying data or a NumPy array.

Returns
-------
numpy.ndarray or ndarray-like

See Also
--------
Series.array : Reference to the underlying data.
Series.to_numpy : A NumPy array representing the underlying data.

Examples
--------
>>> pd.Series([1, 2, 3]).values
array([1, 2, 3])

>>> pd.Series(list("aabc")).values
<ArrowStringArray>
['a', 'a', 'b', 'c']
Length: 4, dtype: str

>>> pd.Series(list("aabc")).astype("category").values
['a', 'a', 'b', 'c']
Categories (3, str): ['a', 'b', 'c']

Timezone aware datetime data is converted to UTC:

>>> pd.Series(pd.date_range("20130101", periods=3, tz="US/Eastern")).values
array(['2013-01-01T05:00:00.000000',
       '2013-01-02T05:00:00.000000',
       '2013-01-03T05:00:00.000000'], dtype='datetime64[us]')
)r   external_valuesr   s    r   r   Series.values  s    R yy((**r   c                6    U R                   R                  5       $ )a  
Return the internal repr of this data (defined by Block.interval_values).
This are the values as stored in the Block (ndarray or ExtensionArray
depending on the Block class), with datetime64[ns] and timedelta64[ns]
wrapped in ExtensionArrays to match Index._values behavior.

Differs from the public ``.values`` for certain data types, because of
historical backwards compatibility of the public attribute (e.g. period
returns object ndarray and datetimetz a datetime64[ns] ndarray for
``.values`` while it returns an ExtensionArray for ``._values`` in those
cases).

Differs from ``.array`` in that this still returns the numpy array if
the Block is backed by a numpy array (except for datetime64 and
timedelta64 dtypes), while ``.array`` ensures to always return an
ExtensionArray.

Overview:

dtype       | values        | _values       | array                 |
----------- | ------------- | ------------- | --------------------- |
Numeric     | ndarray       | ndarray       | NumpyExtensionArray   |
Category    | Categorical   | Categorical   | Categorical           |
dt64[ns]    | ndarray[M8ns] | DatetimeArray | DatetimeArray         |
dt64[ns tz] | ndarray[M8ns] | DatetimeArray | DatetimeArray         |
td64[ns]    | ndarray[m8ns] | TimedeltaArray| TimedeltaArray        |
Period      | ndarray[obj]  | PeriodArray   | PeriodArray           |
Nullable    | EA            | EA            | EA                    |

)r   internal_valuesr   s    r   _valuesSeries._values  s    @ yy((**r   c                B    U R                   R                  R                  $ r   )r   _blockr   r   s    r   r   Series._references7  s    yy$$$r   c                :    U R                   R                  5       nU$ r   )r   array_values)r   arrs     r   rL   Series.array;  s     ii$$& 
r   c                ,    [        U R                  5      $ )z"
Return the length of the Series.
)r   r   r   s    r   __len__Series.__len__D  s     499~r   c                   U R                   nUc  [        R                  " X1S9nO[        R                  " X1US9nUSL a  U$ USL d%  [	        UR
                  UR
                  5      (       a!  UR                  5       nSUR                  l        U$ )a,  
Return the values as a NumPy array.

Users should not call this directly. Rather, it is invoked by
:func:`numpy.array` and :func:`numpy.asarray`.

Parameters
----------
dtype : str or numpy.dtype, optional
    The dtype to use for the resulting NumPy array. By default,
    the dtype is inferred from the data.

copy : bool or None, optional
    See :func:`numpy.asarray`.

Returns
-------
numpy.ndarray
    The values in the series converted to a :class:`numpy.ndarray`
    with the specified `dtype`.

See Also
--------
array : Create a new array from data.
Series.array : Zero-copy view to the array backing the Series.
Series.to_numpy : Series method for similar behavior.

Examples
--------
>>> ser = pd.Series([1, 2, 3])
>>> np.asarray(ser)
array([1, 2, 3])

For timezone-aware data, the timezones may be retained with
``dtype='object'``

>>> tzser = pd.Series(pd.date_range("2000", periods=2, tz="CET"))
>>> np.asarray(tzser, dtype="object")
array([Timestamp('2000-01-01 00:00:00+0100', tz='CET'),
       Timestamp('2000-01-02 00:00:00+0100', tz='CET')],
      dtype=object)

Or the values may be localized to UTC and the tzinfo discarded with
``dtype='datetime64[ns]'``

>>> np.asarray(tzser, dtype="datetime64[ns]")  # doctest: +ELLIPSIS
array(['1999-12-31T23:00:00.000000000', ...],
      dtype='datetime64[ns]')
r   )r   r   TF)	r  r   asarrayrL   r'   r   viewflags	writeable)r   r   r   r   r  s        r   	__array__Series.__array__L  st    h <**V1C((6T:C4<J5=N6<<CC((*C"'CII
r   c                    U R                   /$ )z'
Return a list of the row axis labels.
r   r   s    r   r   Series.axes  s    
 

|r   r   c                     U R                   U   $ )zs
Return the i-th value or values in the Series by location.

Parameters
----------
i : int

Returns
-------
scalar
)r  )r   ir   s      r   _ixsSeries._ixs  s     ||Ar   c                    U R                   R                  XS9nU R                  X3R                  S9nU R                  Ul        UR                  U 5      $ )N)r   r   )r   	get_slicer   r   r   __finalize__)r   slobjr   r   outs        r   _sliceSeries._slice  sN     ii!!%!3((88(<JJ	%%r   c                l   [        U5        [        R                  " X5      nU[        L a  U R	                  SS9$ [        U5      n[        U[        [        45      (       a  [        U5      nOU(       a  U R                  U5      $ [        U5      (       a  [        U5      n[        USS9(       a   U R                  U5      nU$ [        U[&        5      (       a  U R)                  U5      $ [        R*                  " U5      (       a@  [-        U R                   U5      n[.        R0                  " U[2        S9nU R5                  U5      $ U R7                  U5      $ ! [        [        [        4 aJ    [        U[        5      (       a2  [        U R                   ["        5      (       a  U R%                  U5      s $  Nf = f)NFr   )allow_slicer   )r\   r   apply_if_callableEllipsisr   r4   r   r   r   rQ   
_get_valuer1   r:   KeyError	TypeErrorr   r   rU   _get_values_tupleslice_getitem_sliceis_bool_indexerr[   r   r  bool_get_rows_with_mask	_get_with)r   keykey_is_scalarresults       r   __getitem__Series.__getitem__  s_   "3'##C.(?99%9((!#cD%=))$C ??3'' ss)Cs.7- c5!!&&s++s##$TZZ5C**S-C++C00~~c""# i):; 7 c5))jZ.P.P  11#667s   /E AF32F3c                    [        U[        5      (       a  [        S5      e[        U[        5      (       a  U R	                  U5      $ U R
                  U   $ )NzWIndexing a Series with DataFrame is not supported, use the appropriate DataFrame column)r   r8   r4  r   r5  loc)r   r<  s     r   r;  Series._get_with  sP    c<((B  U##))#..xx}r   c                   [         R                  " U6 (       a0  [        R                  " U R                  U   5      n[        U5        U$ [        U R                  [        5      (       d  [        S5      eU R                  R                  U5      u  p4U R                  U R                  U   USS9n[        U[        5      (       a%  UR                  R                  U R                  5        UR                  U 5      $ )N0key of type tuple not found and not a MultiIndexFr   r   )r   any_noner   r  r  rP   r   r   rU   r3  get_loc_levelr   r6  r   add_referencesr)  )r   r<  r>  indexer	new_indexnew_sers         r   r5  Series._get_values_tuple  s    << ZZS 12F"6*M$**j11MNN "ZZ55c:##DLL$9QV#Wgu%%LL''		2##D))r   c                    U R                   R                  U5      nU R                  X"R                  S9R	                  U 5      $ r   )r   get_rows_with_maskr   r   r)  )r   rJ  new_mgrs      r   r:  Series._get_rows_with_mask  s:    ))..w7))')ERRSWXXr   Fc                f   U(       a  U R                   U   $ U R                  R                  U5      n[        U5      (       a  U R                   U   $ [	        U R                  [
        5      (       a  U R                  nU R                   U   n[        U5      S:X  a  UR                  S:X  a  US   $ XC   n[        Xa5      nU R                  XVU R                  SS9n[	        U[        5      (       a%  UR                  R                  U R                  5        UR                  U 5      $ U R                  U   $ )z
Quickly retrieve single value at passed index label.

Parameters
----------
label : object
takeable : interpret the index as indexers, default False

Returns
-------
scalar value
   r   Fr   r   r   )r  r   get_locr0   r   rU   r   nlevelsrZ   r   r   r6  r   rI  r)  iloc)r   labeltakeablerB  mi
new_valuesrK  rL  s           r   r2  Series._get_value  s    <<&& jj  'c??<<$$djj*--Bc*J:!#

a!!}$I(:I''$))% ( G #u%%++DII6''-- 99S>!r   c                `   [         (       dW  [        R                  " U 5      [        ::  a9  [        R
                  " U 5      (       d  [        R                  " [        [        SS9  [        U5        [        R                  " X5      nU[        L a  [        S 5      n[        U[        5      (       a+  U R                  R!                  USS9nU R#                  X25      $  U R%                  X5        g ! [&         a    X R(                  U'    g [*        [,        [.        4 a/    U R                  R1                  U5      nU R#                  X25         g [2         Ga\  n[        U[4        5      (       a+  [        U R                  [6        5      (       d  ['        S5      Ue[        R8                  " U5      (       a  [;        U R                  U5      n[<        R>                  " U[@        S9n[C        U5      (       ap  [E        U5      [E        U 5      :w  aX  [        U[F        5      (       dC  [I        U RJ                  5      (       d)  URM                  5       S   nU R#                  X25         S nAg  U RO                  U) USS	9  O! [2         a    X RP                  U'    Of = f S nAg U RS                  X5         S nAg S nAff = f)
Nr   r   getitemkindrE  r   r   Tr   )*r   sysgetrefcountr   r   is_local_in_caller_framer   r   r   r   r\   r0  r1  r6  r   r   _convert_slice_indexer_set_values_set_with_enginer3  rB  r4  r   r(   rU  r   r   rU   r8  r[   r   r  r9  r2   r   r   r3   r   nonzero_whererW  	_set_with)r   r<  r  rJ  errs        r   __setitem__Series.__setitem__.  s   ''t$	1#:V:V; ; +-CPQ 	#3'##C.(?+Cc5!!jj77)7LG##G330	+!!#- 	" "HHSM:'89 	-jj((-GW,  #	+#u%%jZ.P.P F ""3''(S9jjD1 !''E
c$i/&uf55+DJJ77
 "kkmA.G$$W4+KKeTK:( +%*IIcN+  s**G#	+sP   C+ +J-A J-
J-DJ(I/.J(/J
J(	J

J(J((J-c                p    U R                   R                  U5      nU R                  R                  X25        g r   )r   rU  r   setitem_inplace)r   r<  r  rB  s       r   rg  Series._set_with_engines  s*    jj  % 			!!#-r   c                    [        U[        5      (       a   e[        U5      (       a  [        U5      nU R	                  X5        g r   )r   r   r1   r   _set_labelsr   r<  r  s      r   rj  Series._set_withy  s9     c5))))ss)C$r   c                    [         R                  " U5      nU R                  R                  U5      nUS:H  nUR	                  5       (       a  [        X    S35      eU R                  X25        g )Nz not in index)r   asarray_tuplesafer   get_indexeranyr3  rf  )r   r<  r  rJ  masks        r   rr  Series._set_labels  s\    ##C("jj44S9"}88::ci[677(r   c                    [        U[        [        45      (       a  UR                  nU R                  R                  XS9U l        g )N)rJ  r  )r   rT   r   r  r   setitemrs  s      r   rf  Series._set_values  s5    cE6?++++CII%%c%?	r   c                    U(       d   U R                   R                  U5      nOUnU R	                  XB5        g! [         a    X R                  U'    gf = f)aH  
Quickly set single value at passed label.

If label is not contained, a new object is created with the label
placed at the end of the result index.

Parameters
----------
label : object
    Partial indexing with MultiIndex not allowed.
value : object
    Scalar value.
takeable : interpret the index as indexers, default False
N)r   rU  r3  rB  rf  )r   rX  r  rY  rB  s        r   
_set_valueSeries._set_value  sT     jj((/ C$  "'s   9 AAc                    [         R                  " SSU05        U R                  R                  U5      nU R                  R                  U5      nU R                  XCSS9R                  U SS9$ )aQ  
Repeat elements of a Series.

Returns a new Series where each element of the current Series
is repeated consecutively a given number of times.

Parameters
----------
repeats : int or array of ints
    The number of repetitions for each element. This should be a
    non-negative integer. Repeating 0 times will return an empty
    Series.
axis : None
    Unused. Parameter needed for compatibility with DataFrame.

Returns
-------
Series
    Newly created Series with repeated elements.

See Also
--------
Index.repeat : Equivalent function for Index.
numpy.repeat : Similar method for :class:`numpy.ndarray`.

Examples
--------
>>> s = pd.Series(["a", "b", "c"])
>>> s
0    a
1    b
2    c
dtype: str
>>> s.repeat(2)
0    a
0    a
1    b
1    b
2    c
2    c
dtype: str
>>> s.repeat([1, 2, 3])
0    a
1    b
1    b
2    c
2    c
2    c
dtype: str
 r   FrF  repeatmethod)nvvalidate_repeatr   r  r  r   r)  )r   repeatsr   rK  r[  s        r   r  Series.repeat  so    f 	2~.JJ%%g.	\\((1
  5 IVV W 
 	
r   .)dropr   r   allow_duplicatesc                   g r   r  r   levelr  r   r   r  s         r   reset_indexSeries.reset_index  s     r   )r   r   r  c                   g r   r  r  s         r   r  r    s     r   )r  r   r  c                   g r   r  r  s         r   r  r          r   c                  [        US5      nU(       a  [        [        U 5      5      nUb  [        U[        [
        45      (       d  U/nOUnU Vs/ s H  oR                  R                  U5      PM     nn[        U5      U R                  R                  :  a  U R                  R                  U5      nU(       a  X`l        gU R                  SS9n	Xil        U	R                  U SS9$ U(       a  [        S5      eU[        R                  L a  U R                  c  SnOU R                  nU R!                  U5      n
U
R#                  XUS	9$ s  snf )
a	  
Generate a new DataFrame or Series with the index reset.

This is useful when the index needs to be treated as a column, or
when the index is meaningless and needs to be reset to the default
before another operation.

Parameters
----------
level : int, str, tuple, or list, default optional
    For a Series with a MultiIndex, only remove the specified levels
    from the index. Removes all levels by default.
drop : bool, default False
    Just reset the index, without inserting it as a column in
    the new DataFrame.
name : object, optional
    The name to use for the column containing the original Series
    values. Uses ``self.name`` by default. This argument is ignored
    when `drop` is True.
inplace : bool, default False
    Modify the Series in place (do not create a new object).
allow_duplicates : bool, default False
    Allow duplicate column labels to be created.

Returns
-------
Series or DataFrame or None
    When `drop` is False (the default), a DataFrame is returned.
    The newly created columns will come first in the DataFrame,
    followed by the original Series values.
    When `drop` is True, a `Series` is returned.
    In either case, if ``inplace=True``, no value is returned.

See Also
--------
DataFrame.reset_index: Analogous function for DataFrame.

Examples
--------
>>> s = pd.Series(
...     [1, 2, 3, 4],
...     name="foo",
...     index=pd.Index(["a", "b", "c", "d"], name="idx"),
... )

Generate a DataFrame with default index.

>>> s.reset_index()
  idx  foo
0   a    1
1   b    2
2   c    3
3   d    4

To specify the name of the new column use `name`.

>>> s.reset_index(name="values")
  idx  values
0   a       1
1   b       2
2   c       3
3   d       4

To generate a new Series with the default set `drop` to True.

>>> s.reset_index(drop=True)
0    1
1    2
2    3
3    4
Name: foo, dtype: int64

The `level` parameter is interesting for Series with a multi-level
index.

>>> arrays = [
...     np.array(["bar", "bar", "baz", "baz"]),
...     np.array(["one", "two", "one", "two"]),
... ]
>>> s2 = pd.Series(
...     range(4),
...     name="foo",
...     index=pd.MultiIndex.from_arrays(arrays, names=["a", "b"]),
... )

To remove a specific level from the Index, use `level`.

>>> s2.reset_index(level="a")
       a  foo
b
one  bar    0
two  bar    1
one  baz    2
two  baz    3

If `level` is not set, all levels are removed from the Index.

>>> s2.reset_index()
     a    b  foo
0  bar  one    0
1  bar  two    1
2  baz  one    2
3  baz  two    3
r   NFr   r  r  z<Cannot reset_index inplace on a Series to create a DataFramer   )r  r  r  )r%   rW   r   r   r   r   r   _get_level_numberrV  	droplevelr   r)  r4  r   
no_defaultr   to_framer  )r   r  r  r   r   r  rK  
level_listlevrL  r   s              r   r  r    s5   b &gy9%c$i0I !%%77"'J!&JKUV:Cjj::3?:
Vz?TZZ%7%77 $

 4 4Z @I&
, ) )))/ )++D+GGN  s~~% 99$D99Dt$B>>9I "  1 Ws   $E	r   c                P    [         R                  " 5       nU R                  " S0 UD6$ )z9
Return a string representation for a particular Series.
r  )fmtget_series_repr_params	to_string)r   repr_paramss     r   __repr__Series.__repr__  s$     002~~,,,r   )	na_repfloat_formatheaderr   lengthr   r   max_rowsmin_rowsbufc       	            g r   r  r   r  r  r  r  r   r  r   r   r  r  s              r   r  Series.to_string  s     r   c       	            g r   r  r  s              r   r  r    s     r   r   r  )allowed_argsr   Tc                   [         R                  " U UUUUUUUU
U	S9
nUR                  5       n[        U[        5      (       d"  [        S[        U5      R                  < 35      eUc  U$ [        US5      (       a  UR                  U5        g[        USSS9 nUR                  U5        SSS5        g! , (       d  f       g= f)a!  
Render a string representation of the Series.

Parameters
----------
buf : StringIO-like, optional
    Buffer to write to.
na_rep : str, optional
    String representation of NaN to use, default 'NaN'.
float_format : one-parameter function, optional
    Formatter function to apply to columns' elements if they are
    floats, default None.
header : bool, default True
    Add the Series header (index name).
index : bool, optional
    Add index (row) labels, default True.
length : bool, default False
    Add the Series length.
dtype : bool, default False
    Add the Series dtype.
name : bool, default False
    Add the Series name if not None.
max_rows : int, optional
    Maximum number of rows to show before truncating. If None, show
    all.
min_rows : int, optional
    The number of rows to display in a truncated repr (when number
    of rows is above `max_rows`).

Returns
-------
str or None
    String representation of Series if ``buf=None``, otherwise None.

See Also
--------
Series.to_dict : Convert Series to dict object.
Series.to_frame : Convert Series to DataFrame object.
Series.to_markdown : Print Series in Markdown-friendly format.
Series.to_timestamp : Cast to DatetimeIndex of Timestamps.

Examples
--------
>>> ser = pd.Series([1, 2, 3]).to_string()
>>> ser
'0    1\n1    2\n2    3'
)	r   r  r  r   r   r  r  r  r  z.result must be of type str, type of result is Nwritewzutf-8)encoding)r  SeriesFormatterr  r   r   r   r   r   hasattrr  open)r   r  r  r  r  r   r  r   r   r  r  	formatterr>  fs                 r   r  r    s    ~ ''%
	 $$& &#&&   $V 5 58: 
 ;MS'""IIf  c31Q 2 21s   B33
Cmoder   storage_optionsc                   g r   r  r   r  r  r   r  kwargss         r   to_markdownSeries.to_markdown)  s     r   c                   g r   r  r  s         r   r  r  4  r  r   c                   g r   r  r  s         r   r  r  ?  s     r   r  c                J    U R                  5       R                  " U4X#US.UD6$ )a  
Print Series in Markdown-friendly format.

Parameters
----------
buf : str, Path or StringIO-like, optional, default None
    Buffer to write to. If None, the output is returned as a string.
mode : str, optional
    Mode in which file is opened, "wt" by default.
index : bool, optional, default True
    Add index (row) labels.

storage_options : dict, optional
    Extra options that make sense for a particular storage connection, e.g.
    host, port, username, password, etc. For HTTP(S) URLs the key-value pairs
    are forwarded to ``urllib.request.Request`` as header options. For other
    URLs (e.g. starting with "s3://", and "gcs://") the key-value pairs are
    forwarded to ``fsspec.open``. Please see ``fsspec`` and ``urllib`` for more
    details, and for more examples on storage options refer `here
    <https://pandas.pydata.org/docs/user_guide/io.html?
    highlight=storage_options#reading-writing-remote-files>`_.

**kwargs
    These parameters will be passed to `tabulate                 <https://pypi.org/project/tabulate>`_.

Returns
-------
str
    Series in Markdown-friendly format.

See Also
--------
Series.to_frame : Rrite a text representation of object to the system clipboard.
Series.to_latex : Render Series to LaTeX-formatted table.

Notes
-----
Requires the `tabulate <https://pypi.org/project/tabulate>`_ package.

Examples
    --------
    >>> s = pd.Series(["elk", "pig", "dog", "quetzal"], name="animal")
    >>> print(s.to_markdown())
    |    | animal   |
    |---:|:---------|
    |  0 | elk      |
    |  1 | pig      |
    |  2 | dog      |
    |  3 | quetzal  |

    Output markdown with a tabulate option.

    >>> print(s.to_markdown(tablefmt="grid"))
    +----+----------+
    |    | animal   |
    +====+==========+
    |  0 | elk      |
    +----+----------+
    |  1 | pig      |
    +----+----------+
    |  2 | dog      |
    +----+----------+
    |  3 | quetzal  |
    +----+----------+
r  )r  r  r  s         r   r  r  J  s3    Z }}**

LR
 	
r   c                P    [        [        U R                  5      [        U 5      SS9$ )aj  
Lazily iterate over (index, value) tuples.

This method returns an iterable tuple (index, value). This is
convenient if you want to create a lazy iterator.

Returns
-------
iterable
    Iterable of tuples containing the (index, value) pairs from a
    Series.

See Also
--------
DataFrame.items : Iterate over (column name, Series) pairs.
DataFrame.iterrows : Iterate over DataFrame rows as (index, Series) pairs.

Examples
--------
>>> s = pd.Series(["A", "B", "C"])
>>> for index, value in s.items():
...     print(f"Index : {index}, Value : {value}")
Index : 0, Value : A
Index : 1, Value : B
Index : 2, Value : C
Tstrict)zipiterr   r   s    r   itemsSeries.items  s     6 4

#T$Z==r   c                    U R                   $ )a   
Return alias for index.

Returns
-------
Index
    Index of the Series.

See Also
--------
Series.index : The index (axis labels) of the Series.

Examples
--------
>>> s = pd.Series([1, 2, 3], index=[0, 1, 2])
>>> s.keys()
Index([0, 1, 2], dtype='int64')
r!  r   s    r   r   Series.keys  s    & zzr   c                   g r   r  r   intos     r   to_dictSeries.to_dict  s     r   )r  c                   g r   r  r  s     r   r  r    s    :=r   c                  [         R                  " U5      n[        U R                  5      (       d  [	        U R                  [
        5      (       a  U" S U R                  5        5       5      $ U" U R                  5       5      $ )a  
Convert Series to {label -> value} dict or dict-like object.

Parameters
----------
into : class, default dict
    The collections.abc.MutableMapping subclass to use as the return
    object. Can be the actual class or an empty instance of the mapping
    type you want.  If you want a collections.defaultdict, you must
    pass it initialized.

Returns
-------
collections.abc.MutableMapping
    Key-value representation of Series.

See Also
--------
Series.to_list: Converts Series to a list of the values.
Series.to_numpy: Converts Series to NumPy ndarray.
Series.array: ExtensionArray of the data backing this Series.

Examples
--------
>>> s = pd.Series([1, 2, 3, 4])
>>> s.to_dict()
{0: 1, 1: 2, 2: 3, 3: 4}
>>> from collections import OrderedDict, defaultdict
>>> s.to_dict(into=OrderedDict)
OrderedDict([(0, 1), (1, 2), (2, 3), (3, 4)])
>>> dd = defaultdict(list)
>>> s.to_dict(into=dd)
defaultdict(<class 'list'>, {0: 1, 1: 2, 2: 3, 3: 4})
c              3  @   #    U  H  u  pU[        U5      4v   M     g 7fr   )r,   ).0kvs      r   	<genexpr>!Series.to_dict.<locals>.<genexpr>  s     L|tq1.q12|s   )r   standardize_mappingr3   r   r   r7   r  )r   r  into_cs      r   r  r    s^    P ((.4::&&*TZZ*P*PLtzz|LLL $**,''r   c                   U[         R                  L a(  U R                  nUc  [        S5      nO[	        U/5      nO[	        U/5      nU R
                  R                  U5      nU R                  X3R                  S9nUR                  U SS9$ )a  
Convert Series to DataFrame.

Parameters
----------
name : object, optional
    The passed name should substitute for the series name (if it has
    one).

Returns
-------
DataFrame
    DataFrame representation of Series.

See Also
--------
Series.to_dict : Convert Series to dict object.

Examples
--------
>>> s = pd.Series(["a", "b", "c"], name="vals")
>>> s.to_frame()
  vals
0    a
1    b
2    c
rS  r   r  r  )
r   r  r   rW   rT   r   	to_2d_mgrr   r   r)  )r   r   columnsr   r   s        r   r  Series.to_frame  s|    : 3>>!99D|'*-TFmGii!!'*11#HH1EtJ77r   c                6   [        SSS9n[        XR                  UR                  45      (       dV  [	        US5      (       d3  [	        US5      (       d"  [        S[        U5      R                   S35      eUR                  U5      nOUnUR                  5       nU$ )a  
Construct a Series from an array-like Arrow object.

This function accepts any Arrow-compatible array-like object implementing
the `Arrow PyCapsule Protocol`_ (i.e. having an ``__arrow_c_array__``
or ``__arrow_c_stream__`` method).

This function currently relies on ``pyarrow`` to convert the object
in Arrow format to pandas.

.. _Arrow PyCapsule Protocol: https://arrow.apache.org/docs/format/CDataInterface/PyCapsuleInterface.html

.. versionadded:: 3.0

Parameters
----------
data : pyarrow.Array or Arrow-compatible object
    Any array-like object implementing the Arrow PyCapsule Protocol
    (i.e. has an ``__arrow_c_array__`` or ``__arrow_c_stream__``
    method).

Returns
-------
Series

See Also
--------
DataFrame.from_arrow : Construct a DataFrame from an Arrow object.

Examples
--------
>>> import pyarrow as pa
>>> arrow_array = pa.array([1, 2, 3])
>>> pd.Series.from_arrow(arrow_array)
0    1
1    2
2    3
dtype: int64
r   z14.0.0r   __arrow_c_array__r   zxExpected an Arrow-compatible array-like object (i.e. having an '_arrow_c_array__' or '__arrow_c_stream__' method), got 'z
' instead.)
r   r   Arrayr   r  r4  r   r   r   	to_pandas)clsr   r   pa_arrayr   s        r   
from_arrowSeries.from_arrow8  s    R (	xH$2?? ;<<1224!566  T
++,J8  ''-HH  "
r   c                Z    [        US5      nU(       a  U OU R                  SS9nXl        U$ )z
Set the Series name.

Parameters
----------
name : str
inplace : bool
    Whether to modify `self` directly or return a copy.
r   Fr   )r%   r   r   )r   r   r   r   s       r   	_set_nameSeries._set_namev  s.     &gy9d499%9#8
r   a  
        Examples
        --------
        >>> ser = pd.Series([390., 350., 30., 20.],
        ...                 index=['Falcon', 'Falcon', 'Parrot', 'Parrot'],
        ...                 name="Max Speed")
        >>> ser
        Falcon    390.0
        Falcon    350.0
        Parrot     30.0
        Parrot     20.0
        Name: Max Speed, dtype: float64

        We can pass a list of values to group the Series data by custom labels:

        >>> ser.groupby(["a", "b", "a", "b"]).mean()
        a    210.0
        b    185.0
        Name: Max Speed, dtype: float64

        Grouping by numeric labels yields similar results:

        >>> ser.groupby([0, 1, 0, 1]).mean()
        0    210.0
        1    185.0
        Name: Max Speed, dtype: float64

        We can group by a level of the index:

        >>> ser.groupby(level=0).mean()
        Falcon    370.0
        Parrot     25.0
        Name: Max Speed, dtype: float64

        We can group by a condition applied to the Series values:

        >>> ser.groupby(ser > 100).mean()
        Max Speed
        False     25.0
        True     370.0
        Name: Max Speed, dtype: float64

        **Grouping by Indexes**

        We can groupby different levels of a hierarchical index
        using the `level` parameter:

        >>> arrays = [['Falcon', 'Falcon', 'Parrot', 'Parrot'],
        ...           ['Captive', 'Wild', 'Captive', 'Wild']]
        >>> index = pd.MultiIndex.from_arrays(arrays, names=('Animal', 'Type'))
        >>> ser = pd.Series([390., 350., 30., 20.], index=index, name="Max Speed")
        >>> ser
        Animal  Type
        Falcon  Captive    390.0
                Wild       350.0
        Parrot  Captive     30.0
                Wild        20.0
        Name: Max Speed, dtype: float64

        >>> ser.groupby(level=0).mean()
        Animal
        Falcon    370.0
        Parrot     25.0
        Name: Max Speed, dtype: float64

        We can also group by the 'Type' level of the hierarchical index
        to get the mean speed for each type:

        >>> ser.groupby(level="Type").mean()
        Type
        Captive    210.0
        Wild       185.0
        Name: Max Speed, dtype: float64

        We can also choose to include `NA` in group keys or not by defining
        `dropna` parameter, the default setting is `True`.

        >>> ser = pd.Series([1, 2, 3, 3], index=["a", 'a', 'b', np.nan])
        >>> ser.groupby(level=0).sum()
        a    3
        b    3
        dtype: int64

        To include `NA` values in the group keys, set `dropna=False`:

        >>> ser.groupby(level=0, dropna=False).sum()
        a    3
        b    3
        NaN  3
        dtype: int64

        We can also group by a custom list with NaN values to handle
        missing group labels:

        >>> arrays = ['Falcon', 'Falcon', 'Parrot', 'Parrot']
        >>> ser = pd.Series([390., 350., 30., 20.], index=arrays, name="Max Speed")
        >>> ser.groupby(["a", "b", "a", np.nan]).mean()
        a    210.0
        b    350.0
        Name: Max Speed, dtype: float64

        >>> ser.groupby(["a", "b", "a", np.nan], dropna=False).mean()
        a    210.0
        b    350.0
        NaN   20.0
        Name: Max Speed, dtype: float64
        groupby)r   byr  c                n    SSK Jn  Uc  Uc  [        S5      eU(       d  [        S5      eU" U UUUUUUUS9$ )Nr   r   z*You have to supply one of 'by' and 'level'z(as_index=False only valid with DataFrame)objr   r  as_indexsort
group_keysobserveddropna)pandas.core.groupby.genericr   r4  )	r   r  r  r  r  r  r  r  r   s	            r   r  Series.groupby  sQ    z 	>=RZHIIFGG!	
 		
r   c                x    [        [        U R                  5      R                  5       R	                  S5      5      $ )a  
Return number of non-NA/null observations in the Series.

Returns
-------
int
    Number of non-null values in the Series.

See Also
--------
DataFrame.count : Count non-NA cells for each column or row.

Examples
--------
>>> s = pd.Series([0.0, 1.0, np.nan])
>>> s.count()
2
int64)r-   r=   r  sumr   r   s    r   countSeries.count  s,    & (dll(;(?(?(A(H(H(QRRr   c                2   U R                   n[        U[        R                  5      (       a  [        R
                  " X!S9u  p4OUR                  US9nU R                  U[        [        U5      5      U R                  SU R                  S9R                  U SS9$ )a  
Return the mode(s) of the Series.

The mode is the value that appears most often. There can be multiple modes.

Always returns Series even if only one value is returned.

Parameters
----------
dropna : bool, default True
    Don't consider counts of NaN/NaT.

Returns
-------
Series
    Modes of the Series in sorted order.

See Also
--------
numpy.mode : Equivalent numpy function for computing median.
Series.sum : Sum of the values.
Series.median : Median of the values.
Series.std : Standard deviation of the values.
Series.var : Variance of the values.
Series.min : Minimum value.
Series.max : Maximum value.

Examples
--------
>>> s = pd.Series([2, 4, 2, 2, 4, None])
>>> s.mode()
0    2.0
dtype: float64

More than one mode:

>>> s = pd.Series([2, 4, 8, 2, 4, None])
>>> s.mode()
0    2.0
1    4.0
dtype: float64

With and without considering null value:

>>> s = pd.Series([2, 4, None, None, 4, None])
>>> s.mode(dropna=False)
0   NaN
dtype: float64
>>> s = pd.Series([2, 4, None, None, 4, None])
>>> s.mode()
0    4.0
dtype: float64
)r  F)r   r   r   r   r  r  )r  r   r   r   r?   r  _moder   ranger   r   r   r)  )r   r  r   
res_values_s        r   r  Series.mode-  s    n fbjj))&OOFBMJV4J   J(** ! 
 ,tF,
+	,r   c                    > [         TU ]  5       $ )ab  
Return unique values of Series object.

Uniques are returned in order of appearance. Hash table-based unique,
therefore does NOT sort.

Returns
-------
ndarray or ExtensionArray
    The unique values returned as a NumPy array. See Notes.

See Also
--------
Series.drop_duplicates : Return Series with duplicate values removed.
unique : Top-level unique method for any 1-d array-like object.
Index.unique : Return Index with unique values from an Index object.

Notes
-----
Returns the unique values as a NumPy array. In case of an
extension-array backed Series, a new
:class:`~api.extensions.ExtensionArray` of that type with just
the unique values is returned. This includes

    * Categorical
    * Period
    * Datetime with Timezone
    * Datetime without Timezone
    * Timedelta
    * Interval
    * Sparse
    * IntegerNA

See Examples section.

Examples
--------
>>> pd.Series([2, 1, 3, 3], name="A").unique()
array([2, 1, 3])

>>> pd.Series([pd.Timestamp("2016-01-01") for _ in range(3)]).unique()
<DatetimeArray>
['2016-01-01 00:00:00']
Length: 1, dtype: datetime64[us]

>>> pd.Series(
...     [pd.Timestamp("2016-01-01", tz="US/Eastern") for _ in range(3)]
... ).unique()
<DatetimeArray>
['2016-01-01 00:00:00-05:00']
Length: 1, dtype: datetime64[us, US/Eastern]

A Categorical will return categories in the order of
appearance and with the same dtype.

>>> pd.Series(pd.Categorical(list("baabc"))).unique()
['b', 'a', 'c']
Categories (3, str): ['a', 'b', 'c']
>>> pd.Series(
...     pd.Categorical(list("baabc"), categories=list("abc"), ordered=True)
... ).unique()
['b', 'a', 'c']
Categories (3, str): ['a' < 'b' < 'c']
)superr   r   	__class__s    r   r   Series.uniques  s    B w~r   )keepr   ignore_indexc                   g r   r  r   r  r   r  s       r   drop_duplicatesSeries.drop_duplicates  s     r   )r  r  c                   g r   r  r  s       r   r	  r
    s     r   c                   g r   r  r  s       r   r	  r
    s     r   firstc                  > [        US5      n[        TU ]	  US9nU(       a  [        [	        U5      5      Ul        U(       a  U R                  U5        gU$ )ue  
Return Series with duplicate values removed.

Parameters
----------
keep : {'first', 'last', ``False``}, default 'first'
    Method to handle dropping duplicates:

    - 'first' : Drop duplicates except for the first occurrence.
    - 'last' : Drop duplicates except for the last occurrence.
    - ``False`` : Drop all duplicates.

inplace : bool, default ``False``
    If ``True``, performs operation inplace and returns None.

ignore_index : bool, default ``False``
    If ``True``, the resulting axis will be labeled 0, 1, …, n - 1.

    .. versionadded:: 2.0.0

Returns
-------
Series or None
    Series with duplicates dropped or None if ``inplace=True``.

See Also
--------
Index.drop_duplicates : Equivalent method on Index.
DataFrame.drop_duplicates : Equivalent method on DataFrame.
Series.duplicated : Related method on Series, indicating duplicate
    Series values.
Series.unique : Return unique values as an array.

Examples
--------
Generate a Series with duplicated entries.

>>> s = pd.Series(
...     ["llama", "cow", "llama", "beetle", "llama", "hippo"], name="animal"
... )
>>> s
0     llama
1       cow
2     llama
3    beetle
4     llama
5     hippo
Name: animal, dtype: str

With the 'keep' parameter, the selection behavior of duplicated values
can be changed. The value 'first' keeps the first occurrence for each
set of duplicated entries. The default value of keep is 'first'.

>>> s.drop_duplicates()
0     llama
1       cow
3    beetle
5     hippo
Name: animal, dtype: str

The value 'last' for parameter 'keep' keeps the last occurrence for
each set of duplicated entries.

>>> s.drop_duplicates(keep="last")
1       cow
3    beetle
4     llama
5     hippo
Name: animal, dtype: str

The value ``False`` for parameter 'keep' discards all sets of
duplicated entries.

>>> s.drop_duplicates(keep=False)
1       cow
3    beetle
5     hippo
Name: animal, dtype: str
r   r  N)r%   r  r	  rW   r   r   _update_inplace)r   r  r   r  r>  r  s        r   r	  r
    sP    l &gy9(d(3(V5FL  (Mr   c                t    U R                  US9nU R                  X R                  SS9nUR                  U SS9$ )aw  
Indicate duplicate Series values.

Duplicated values are indicated as ``True`` values in the resulting
Series. Either all duplicates, all except the first or all except the
last occurrence of duplicates can be indicated.

Parameters
----------
keep : {'first', 'last', False}, default 'first'
    Method to handle dropping duplicates:

    - 'first' : Mark duplicates as ``True`` except for the first
      occurrence.
    - 'last' : Mark duplicates as ``True`` except for the last
      occurrence.
    - ``False`` : Mark all duplicates as ``True``.

Returns
-------
Series[bool]
    Series indicating whether each value has occurred in the
    preceding values.

See Also
--------
Index.duplicated : Equivalent method on pandas.Index.
DataFrame.duplicated : Equivalent method on pandas.DataFrame.
Series.drop_duplicates : Remove duplicate values from Series.

Examples
--------
By default, for each set of duplicated values, the first occurrence is
set on False and all others on True:

>>> animals = pd.Series(["llama", "cow", "llama", "beetle", "llama"])
>>> animals.duplicated()
0    False
1    False
2     True
3    False
4     True
dtype: bool

which is equivalent to

>>> animals.duplicated(keep="first")
0    False
1    False
2     True
3    False
4     True
dtype: bool

By using 'last', the last occurrence of each set of duplicated values
is set on False and all others on True:

>>> animals.duplicated(keep="last")
0     True
1    False
2     True
3    False
4    False
dtype: bool

By setting keep on ``False``, all duplicates are True:

>>> animals.duplicated(keep=False)
0     True
1    False
2     True
3    False
4     True
dtype: bool
r  FrF  r   r  )_duplicatedr   r   r)  )r   r  resr>  s       r   r   Series.duplicated+	  sG    X D)""3jju"E""4"==r   c                n    U R                  U5      nU R                  " X/UQ70 UD6nU R                  U   $ )a  
Return the row label of the minimum value.

If multiple values equal the minimum, the first row label with that
value is returned.

Parameters
----------
axis : {0 or 'index'}
    Unused. Parameter needed for compatibility with DataFrame.
skipna : bool, default True
    Exclude NA/null values. If the entire Series is NA, or if ``skipna=False``
    and there is an NA value, this method will raise a ``ValueError``.
*args, **kwargs
    Additional arguments and keywords have no effect but might be
    accepted for compatibility with NumPy.

Returns
-------
Index
    Label of the minimum value.

Raises
------
ValueError
    If the Series is empty.

See Also
--------
numpy.argmin : Return indices of the minimum values
    along the given axis.
DataFrame.idxmin : Return index of first occurrence of minimum
    over requested axis.
Series.idxmax : Return index *label* of the first occurrence
    of maximum of values.

Notes
-----
This method is the Series version of ``ndarray.argmin``. This method
returns the label of the minimum, while ``ndarray.argmin`` returns
the position. To get the position, use ``series.values.argmin()``.

Examples
--------
>>> s = pd.Series(data=[1, None, 4, 1], index=["A", "B", "C", "D"])
>>> s
A    1.0
B    NaN
C    4.0
D    1.0
dtype: float64

>>> s.idxmin()
'A'
)_get_axis_numberargminr   r   r   skipnaargsr  rW  s         r   idxminSeries.idxmin{	  s<    p $$T*{{49$9&9zz$r   c                n    U R                  U5      nU R                  " X/UQ70 UD6nU R                  U   $ )a)  
Return the row label of the maximum value.

If multiple values equal the maximum, the first row label with that
value is returned.

Parameters
----------
axis : {0 or 'index'}
    Unused. Parameter needed for compatibility with DataFrame.
skipna : bool, default True
    Exclude NA/null values. If the entire Series is NA, or if ``skipna=False``
    and there is an NA value, this method will raise a ``ValueError``.
*args, **kwargs
    Additional arguments and keywords have no effect but might be
    accepted for compatibility with NumPy.

Returns
-------
Index
    Label of the maximum value.

Raises
------
ValueError
    If the Series is empty.

See Also
--------
numpy.argmax : Return indices of the maximum values
    along the given axis.
DataFrame.idxmax : Return index of first occurrence of maximum
    over requested axis.
Series.idxmin : Return index *label* of the first occurrence
    of minimum of values.

Notes
-----
This method is the Series version of ``ndarray.argmax``. This method
returns the label of the maximum, while ``ndarray.argmax`` returns
the position. To get the position, use ``series.values.argmax()``.

Examples
--------
>>> s = pd.Series(data=[1, None, 4, 3, 4], index=["A", "B", "C", "D", "E"])
>>> s
A    1.0
B    NaN
C    4.0
D    3.0
E    4.0
dtype: float64

>>> s.idxmax()
'C'
)r  argmaxr   r  s         r   idxmaxSeries.idxmax	  s<    r $$T*{{49$9&9zz$r   c                  ^ [         R                  " X#5        [        U 5      S:X  a  U R                  5       $ [	        U R
                  5      (       aN  U R                  n[        R                  " UU4S jSS9nU R                  XPR                  SS9R                  U SS9$ U R                  R                  TS9nU R                  XfR                  S	9R                  U SS9$ )
a  
Round each value in a Series to the given number of decimals.

Parameters
----------
decimals : int, default 0
    Number of decimal places to round to. If decimals is negative,
    it specifies the number of positions to the left of the decimal point.
*args, **kwargs
    Additional arguments and keywords have no effect but might be
    accepted for compatibility with NumPy.

Returns
-------
Series
    Rounded values of the Series.

See Also
--------
numpy.around : Round values of an np.array.
DataFrame.round : Round values of a DataFrame.
Series.dt.round : Round values of data to the specified freq.

Notes
-----
For values exactly halfway between rounded decimal values, pandas rounds
to the nearest even value (e.g. -0.5 and 0.5 round to 0.0, 1.5 and 2.5
round to 2.0, etc.).

Examples
--------
>>> s = pd.Series([-0.5, 0.1, 2.5, 1.3, 2.7])
>>> s.round()
0   -0.0
1    0.0
2    2.0
3    1.0
4    3.0
dtype: float64
r   c                   > [        U T5      $ r   )round)xdecimalss    r   <lambda>Series.round.<locals>.<lambda>%
  s    U1h5Gr   F)convertrF  r#  r  )r%  r   )r  validate_roundr   r   r3   r   r  r   	map_inferr   r   r)  r   r#  r   r   )r   r%  r  r  r   r>  rP  s    `     r   r#  Series.round	  s    T 	$'t9>99;4::&&\\F]]6+GQVWF$$V::E$JWWW X   ))//8/4))')ERR S 
 	
r   c                    g r   r  r   qinterpolations      r   quantileSeries.quantile.
  s     r   c                    g r   r  r-  s      r   r0  r1  3
  s    
 r   c                    g r   r  r-  s      r   r0  r1  :
  s    
 r   c                t   [        U5        U R                  5       nUR                  XSS9nUR                  S:X  a  UR                  SS2S4   n[        U5      (       aC  U R                  Ul        [        U[        R                  S9nU R                  XEU R                  S9$ [        UR                  S   5      $ )a  
Return value at the given quantile.

Parameters
----------
q : float or array-like, default 0.5 (50% quantile)
    The quantile(s) to compute, which can lie in range: 0 <= q <= 1.
interpolation : {'linear', 'lower', 'higher', 'midpoint', 'nearest'}
    This optional parameter specifies the interpolation method to use,
    when the desired quantile lies between two data points `i` and `j`:

        * linear: `i + (j - i) * (x-i)/(j-i)`, where `(x-i)/(j-i)` is
          the fractional part of the index surrounded by `i > j`.
        * lower: `i`.
        * higher: `j`.
        * nearest: `i` or `j` whichever is nearest.
        * midpoint: (`i` + `j`) / 2.

Returns
-------
float or Series
    If ``q`` is an array, a Series will be returned where the
    index is ``q`` and the values are the quantiles, otherwise
    a float will be returned.

See Also
--------
core.window.Rolling.quantile : Calculate the rolling quantile.
numpy.percentile : Returns the q-th percentile(s) of the array elements.

Examples
--------
>>> s = pd.Series([1, 2, 3, 4])
>>> s.quantile(0.5)
2.5
>>> s.quantile([0.25, 0.5, 0.75])
0.25    1.75
0.50    2.50
0.75    3.25
dtype: float64
F)r.  r/  numeric_onlyr   Nr   r   r   r   )r&   r  r0  ndimrW  r2   r   rT   r   float64r   r-   )r   r.  r/  r   r>  idxs         r   r0  r1  A
  s    \ 	A ]]_qER;;![[A&F??))FK,C$$VTYY$GG ,FKKN;;r   c                ~   U R                  USS9u  pA[        U5      S:X  a  [        R                  $ UR	                  [
        [        R                  SS9nUR	                  [
        [        R                  SS9nUS;   d  [        U5      (       a"  [        R                  " XVX#S9n[        U5      nU$ [        SU S	35      e)
a	  
Compute correlation with `other` Series, excluding missing values.

The two `Series` objects are not required to be the same length and will be
aligned internally before the correlation function is applied.

Parameters
----------
other : Series
    Series with which to compute the correlation.
method : {'pearson', 'kendall', 'spearman'} or callable
    Method used to compute correlation:

    - pearson : Standard correlation coefficient
    - kendall : Kendall Tau correlation coefficient
    - spearman : Spearman rank correlation
    - callable: Callable with input two 1d ndarrays and returning a float.

    .. warning::
        Note that the returned matrix from corr will have 1 along the
        diagonals and will be symmetric regardless of the callable's
        behavior.
min_periods : int, optional
    Minimum number of observations needed to have a valid result.

Returns
-------
float
    Correlation with other.

See Also
--------
DataFrame.corr : Compute pairwise correlation between columns.
DataFrame.corrwith : Compute pairwise correlation with another
    DataFrame or Series.

Notes
-----
Pearson, Kendall and Spearman correlation are currently computed using pairwise complete observations.

* `Pearson correlation coefficient <https://en.wikipedia.org/wiki/Pearson_correlation_coefficient>`_
* `Kendall rank correlation coefficient <https://en.wikipedia.org/wiki/Kendall_rank_correlation_coefficient>`_
* `Spearman's rank correlation coefficient <https://en.wikipedia.org/wiki/Spearman%27s_rank_correlation_coefficient>`_

Automatic data alignment: as with all pandas operations, automatic data alignment is performed for this method.
``corr()`` automatically considers values with matching indices.

Examples
--------
>>> def histogram_intersection(a, b):
...     v = np.minimum(a, b).sum().round(decimals=1)
...     return v
>>> s1 = pd.Series([0.2, 0.0, 0.6, 0.2])
>>> s2 = pd.Series([0.3, 0.6, 0.0, 0.1])
>>> s1.corr(s2, method=histogram_intersection)
0.3

Pandas auto-aligns the values with matching indices

>>> s1 = pd.Series([1, 2, 3], index=[0, 1, 2])
>>> s2 = pd.Series([1, 2, 3], index=[2, 1, 0])
>>> s1.corr(s2)
-1.0

If the input is a constant array, the correlation is not defined in this case,
and ``np.nan`` is returned.

>>> s1 = pd.Series([0.45, 0.45])
>>> s1.corr(s1)
nan
innerjoinr   Fr   na_valuer   )pearsonspearmankendall)r  min_periodszHmethod must be either 'pearson', 'spearman', 'kendall', or a callable, 'z' was supplied)alignr   r   nanto_numpyfloatcallablerB   nancorrr-   r   )r   otherr  rC  thisthis_valuesother_valuesr>  s           r   corrSeries.corr
  s    Z jjWj5t9>66Mmm%"&&umM~~EBFF~O778F;K;K^^&F .f5FMx~'
 	
r   c                4   U R                  USS9u  pA[        U5      S:X  a  [        R                  $ UR	                  [
        [        R                  SS9nUR	                  [
        [        R                  SS9n[        R                  " XVX#S9n[        U5      nU$ )an  
Compute covariance with Series, excluding missing values.

The two `Series` objects are not required to be the same length and
will be aligned internally before the covariance is calculated.

Parameters
----------
other : Series
    Series with which to compute the covariance.
min_periods : int, optional
    Minimum number of observations needed to have a valid result.
ddof : int, default 1
    Delta degrees of freedom.  The divisor used in calculations
    is ``N - ddof``, where ``N`` represents the number of elements.

Returns
-------
float
    Covariance between Series and other normalized by N-1
    (unbiased estimator).

See Also
--------
DataFrame.cov : Compute pairwise covariance of columns.

Examples
--------
>>> s1 = pd.Series([0.90010907, 0.13484424, 0.62036035])
>>> s2 = pd.Series([0.12528585, 0.26962463, 0.51111198])
>>> s1.cov(s2)
-0.01685762652715874
r;  r<  r   Fr>  )rC  ddof)	rD  r   r   rE  rF  rG  rB   nancovr-   )r   rJ  rC  rQ  rK  rL  rM  r>  s           r   cov
Series.cov
  s    N jjWj5t9>66Mmm%"&&umM~~EBFF~O;
 *&1r   c                F   [         R                  " U5      (       d0  [        U5      (       a  UR                  5       (       d  [        S5      e[        R
                  " U R                  U5      nU R                  X R                  R                  5       SS9R                  U SS9$ )a4  
First discrete difference of Series elements.

Calculates the difference of a Series element compared with another
element in the Series (default is element in previous row).

Parameters
----------
periods : int, default 1
    Periods to shift for calculating difference, accepts negative
    values.

Returns
-------
Series
    First differences of the Series.

See Also
--------
Series.pct_change: Percent change over given number of periods.
Series.shift: Shift index by desired number of periods with an
    optional time freq.
DataFrame.diff: First discrete difference of object.

Notes
-----
For boolean dtypes, this uses :meth:`operator.xor` rather than
:meth:`operator.sub`.
The result is calculated according to current dtype in Series,
however dtype of the result is always float64.

Examples
--------

Difference with previous row

>>> s = pd.Series([1, 1, 2, 3, 5, 8])
>>> s.diff()
0    NaN
1    0.0
2    1.0
3    1.0
4    2.0
5    3.0
dtype: float64

Difference with 3rd previous row

>>> s.diff(periods=3)
0    NaN
1    NaN
2    NaN
3    2.0
4    4.0
5    6.0
dtype: float64

Difference with following row

>>> s.diff(periods=-1)
0    0.0
1   -1.0
2   -1.0
3   -2.0
4   -3.0
5    NaN
dtype: float64

Overflow in input dtype

>>> s = pd.Series([1, 0], dtype=np.uint8)
>>> s.diff()
0      NaN
1    255.0
dtype: float64
zperiods must be an integerFrF  diffr  )r   r0   r/   r   r?   rV  r  r   r   r  r)  )r   periodsr>  s      r   rV  Series.diff  s    Z ~~g&&W%%'*<*<*>*> !=>>w7  **//+% ! 

,tF,
+	,r   c                ^    U R                  [        [        U R                  U5      5      5      $ )a  
Compute the lag-N autocorrelation.

This method computes the Pearson correlation between
the Series and its shifted self.

Parameters
----------
lag : int, default 1
    Number of lags to apply before performing autocorrelation.

Returns
-------
float
    The Pearson correlation between self and self.shift(lag).

See Also
--------
Series.corr : Compute the correlation between two Series.
Series.shift : Shift index by desired number of periods.
DataFrame.corr : Compute pairwise correlation of columns.
DataFrame.corrwith : Compute pairwise correlation between rows or
    columns of two DataFrame objects.

Notes
-----
If the Pearson correlation is not well defined return 'NaN'.

Examples
--------
>>> s = pd.Series([0.25, 0.5, 0.2, -0.05])
>>> s.autocorr()  # doctest: +ELLIPSIS
0.10355...
>>> s.autocorr(lag=2)  # doctest: +ELLIPSIS
-0.99999...

If the Pearson correlation is not well defined, then 'NaN' is returned.

>>> s = pd.Series([1, 0, 0, 0])
>>> s.autocorr()
nan
)rN  r   r   shift)r   lags     r   autocorrSeries.autocorri  s#    V yyfdjjo677r   c                `   [        U[        [        45      (       a  U R                  R	                  UR                  5      n[        U5      [        U R                  5      :  d"  [        U5      [        UR                  5      :  a  [        S5      eU R                  US9nUR                  US9nUR                  nUR                  nOgU R                  n[        R                  " U5      nUR                  S   UR                  S   :w  a%  [        SUR                   SUR                   35      e[        U[        5      (       ai  [        U R                  /[        UR                  5      Q5      nU R!                  [        R"                  " XV5      UR$                  SUS9R'                  U SS	9$ [        U[        5      (       a  [        R"                  " XV5      nOM[        U[        R(                  5      (       a  [        R"                  " XV5      nO[+        S
[-        U5       35      e[/        U5      $ )a  
Compute the dot product between the Series and the columns of other.

This method computes the dot product between the Series and another
one, or the Series and each columns of a DataFrame, or the Series and
each columns of an array.

It can also be called using `self @ other`.

Parameters
----------
other : Series, DataFrame or array-like
    The other object to compute the dot product with its columns.

Returns
-------
scalar, Series or numpy.ndarray
    Return the dot product of the Series and other if other is a
    Series, the Series of the dot product of Series and each rows of
    other if other is a DataFrame or a numpy.ndarray between the Series
    and each columns of the numpy array.

See Also
--------
DataFrame.dot: Compute the matrix product with the DataFrame.
Series.mul: Multiplication of series and other, element-wise.

Notes
-----
The Series and other has to share the same index if other is a Series
or a DataFrame.

Examples
--------
>>> s = pd.Series([0, 1, 2, 3])
>>> other = pd.Series([-1, 2, -3, 4])
>>> s.dot(other)
8
>>> s @ other
8
>>> df = pd.DataFrame([[0, 1], [-2, 3], [4, -5], [6, 7]])
>>> s.dot(df)
0    24
1    14
dtype: int64
>>> arr = np.array([[0, 1], [-2, 3], [4, -5], [6, 7]])
>>> s.dot(arr)
array([24, 14])
zmatrices are not alignedr!  r   zDot product shape mismatch, z vs F)r   r   r   dotr  zunsupported type: )r   r   r8   r   unionr   r   r   r   r   r  shape	Exceptionr*   r   r   r   r_  r  r)  r   r4  r   r-   )	r   rJ  rA   leftrightlvalsrvalscommon_typer>  s	            r   r_  
Series.dot  s   d efl344ZZ%%ekk2F6{S_,Fc%++>N0N !;<<<<f<-DMMM/EKKELLEKKEJJu%E{{1~Q/25;;-tEKK=Q  e\***DKK+M$u||:L+MNK$$u$EMM[ % l4l./ v&&VVE)Frzz**VVE)F0e>??'//r   c                $    U R                  U5      $ z2
Matrix multiplication using binary `@` operator.
)r_  r   rJ  s     r   
__matmul__Series.__matmul__  s     xxr   c                L    U R                  [        R                  " U5      5      $ rj  )r_  r   	transposerk  s     r   __rmatmul__Series.__rmatmul__  s     xxU+,,r   c                >    [         R                  R                  XX#S9$ )a  
Find indices where elements should be inserted to maintain order.

Find the indices into a sorted Series `self` such that, if the
corresponding elements in `value` were inserted before the indices,
the order of `self` would be preserved.

.. note::
    The Series *must* be monotonically sorted, otherwise
    wrong locations will likely be returned. Pandas does *not*
    check this for you.

Parameters
----------
value : array-like or scalar
    Values to insert into `self`.
side : {'left', 'right'}, optional
    If 'left', the index of the first suitable location found is given.
    If 'right', return the last such index.  If there is no suitable
    index, return either 0 or N (where N is the length of `self`).
sorter : 1-D array-like, optional
    Optional array of integer indices that sort `self` into ascending
    order. They are typically the result of ``np.argsort``.

Returns
-------
int or array of int
    A scalar or array of insertion points with the
    same shape as `value`.

See Also
--------
sort_values : Sort by the values along either axis.
numpy.searchsorted : Similar method from NumPy.

Notes
-----
Binary search is used to find the required insertion points.

Examples
--------
>>> ser = pd.Series([1, 2, 3])
>>> ser
0    1
1    2
2    3
dtype: int64
>>> ser.searchsorted(4)
np.int64(3)
>>> ser.searchsorted([0, 4])
array([0, 3])
>>> ser.searchsorted([1, 3], side="left")
array([0, 2])
>>> ser.searchsorted([1, 3], side="right")
array([1, 3])
>>> ser = pd.Series(pd.to_datetime(["3/11/2000", "3/12/2000", "3/13/2000"]))
>>> ser
0   2000-03-11
1   2000-03-12
2   2000-03-13
dtype: datetime64[us]
>>> ser.searchsorted("3/14/2000")
np.int64(3)
>>> ser = pd.Categorical(
...     ["apple", "bread", "bread", "cheese", "milk"], ordered=True
... )
>>> ser
['apple', 'bread', 'bread', 'cheese', 'milk']
Categories (4, str): ['apple' < 'bread' < 'cheese' < 'milk']
>>> ser.searchsorted("bread")
np.int64(1)
>>> ser.searchsorted(["bread"], side="right")
array([3])

If the values are not monotonically sorted, wrong locations
may be returned:

>>> ser = pd.Series([2, 1, 3])
>>> ser
0    2
1    1
2    3
dtype: int64
>>> ser.searchsorted(1)  # doctest: +SKIP
0  # wrong result, correct would be 1
)sidesorter)r@   IndexOpsMixinsearchsorted)r   r  rs  rt  s       r   rv  Series.searchsorted  s!    x !!..t.UUr   c                    SSK Jn  U" X/US9$ )Nr   concat)r  )pandas.core.reshape.concatrz  )r   	to_appendr  rz  s       r   _append_internalSeries._append_internalT  s    5t'lCCr   c                &   > [         TU ]  UUUUUS9$ )a  
Compare to another Series and show the differences.

Parameters
----------
other : Series
    Object to compare with.

align_axis : {{0 or 'index', 1 or 'columns'}}, default 1
    Determine which axis to align the comparison on.

    * 0, or 'index' : Resulting differences are stacked vertically
      with rows drawn alternately from self and other.
    * 1, or 'columns' : Resulting differences are aligned horizontally
      with columns drawn alternately from self and other.

keep_shape : bool, default False
    If true, all rows and columns are kept.
    Otherwise, only the ones with different values are kept.

keep_equal : bool, default False
    If true, the result keeps values that are equal.
    Otherwise, equal values are shown as NaNs.

result_names : tuple, default ('self', 'other')
    Set the dataframes names in the comparison.

Returns
-------
Series or DataFrame
    If axis is 0 or 'index' the result will be a Series.
    The resulting index will be a MultiIndex with 'self' and 'other'
    stacked alternately at the inner level.

    If axis is 1 or 'columns' the result will be a DataFrame.
    It will have two columns namely 'self' and 'other'.

See Also
--------
DataFrame.compare : Compare with another DataFrame and show differences.

Notes
-----
Matching NaNs will not appear as a difference.

Examples
--------
>>> s1 = pd.Series(["a", "b", "c", "d", "e"])
>>> s2 = pd.Series(["a", "a", "c", "b", "e"])

Align the differences on columns

>>> s1.compare(s2)
  self other
1    b     a
3    d     b

Stack the differences on indices

>>> s1.compare(s2, align_axis=0)
1  self     b
   other    a
3  self     d
   other    b
dtype: str

Keep all original rows

>>> s1.compare(s2, keep_shape=True)
  self other
0  NaN   NaN
1    b     a
2  NaN   NaN
3    d     b
4  NaN   NaN

Keep all original rows and also all original values

>>> s1.compare(s2, keep_shape=True, keep_equal=True)
  self other
0    a     a
1    b     a
2    c     c
3    d     b
4    e     e
)rJ  
align_axis
keep_shape
keep_equalresult_names)r  compare)r   rJ  r  r  r  r  r  s         r   r  Series.compareY  s+    ~ w!!!%  
 	
r   c                   Uc  [        U R                  SS9n[        U[        5      (       a  U R                  R                  UR                  5      n[        R                  " X5      n[        R                  " [        U5      [        S9n[        R                  " SS9   [        U5       H1  u  pxU R                  X5      n	UR                  X5      n
U" X5      Xg'   M3     SSS5        O|U R                  n[        R                  " [        U5      [        S9n[        R                  " SS9   U R                   V	s/ s H
  o" X5      PM     sn	USS& SSS5        U R                   nU R"                  R%                  U5      nU R'                  UUR                  UUSS9$ ! , (       d  f       NF= fs  sn	f ! , (       d  f       Nh= f)a  
Combine the Series with a Series or scalar according to `func`.

Combine the Series and `other` using `func` to perform elementwise
selection for combined Series.
`fill_value` is assumed when value is not present at some index
from one of the two Series being combined.

Parameters
----------
other : Series or scalar
    The value(s) to be combined with the `Series`.
func : function
    Function that takes two scalars as inputs and returns an element.
fill_value : scalar, optional
    The value to assume when an index is missing from
    one Series or the other. The default specifies to use the
    appropriate NaN value for the underlying dtype of the Series.

Returns
-------
Series
    The result of combining the Series with the other object.

See Also
--------
Series.combine_first : Combine Series values, choosing the calling
    Series' values first.

Examples
--------
Consider 2 Datasets ``s1`` and ``s2`` containing
highest clocked speeds of different birds.

>>> s1 = pd.Series({"falcon": 330.0, "eagle": 160.0})
>>> s1
falcon    330.0
eagle     160.0
dtype: float64
>>> s2 = pd.Series({"falcon": 345.0, "eagle": 200.0, "duck": 30.0})
>>> s2
falcon    345.0
eagle     200.0
duck       30.0
dtype: float64

Now, to combine the two datasets and view the highest speeds
of the birds across the two datasets

>>> s1.combine(s2, max)
duck        NaN
eagle     200.0
falcon    345.0
dtype: float64

In the previous example, the resulting value for duck is missing,
because the maximum of a NaN and a float is a NaN.
So, in the example, we set ``fill_value=0``,
so the maximum value returned will be the value from some dataset.

>>> s1.combine(s2, max, fill_value=0)
duck       30.0
eagle     200.0
falcon    345.0
dtype: float64
NFr   r   ignoreall)r   r   r   r   )r<   r   r   r   r   r`  rC   get_op_result_namer   emptyr   r   errstate	enumerategetr  r   rL   _cast_pointwise_resultr   )r   rJ  func
fill_valuerK  new_namer[  r$  r9  lvrvr  s               r   combineSeries.combine  sc   P +DJJuEJeV$$ 

((5I--d:H#i.?J*'	2FA#2B33B$(LJM 3 +* 

I#i.?J*;?<< H<Rb< H
1 +yyHZZ66zB
  "" ! 
 	
 +* !I +*s+   AF*F29F-
F2
F*-F22
G c                   SSK Jn  U R                  UR                  :X  aJ  U R                  R	                  UR                  5      (       a   U R                  U R                  5       U5      $ U R                  R                  UR                  5      nU nUR                  R                  UR                  [        U5         5      nUR                  R                  U5      nUR                  U5      nUR                  U5      nUR                  R                  S:X  aG  UR                  R                  S:w  a-  [        U5      n[        R                  " S[        [!        5       S9  U" XA/5      nUR                  U5      nUR#                  U SS9$ )a  
Update null elements with value in the same location in 'other'.

Combine two Series objects by filling null values in one Series with
non-null values from the other Series. Result index will be the union
of the two indexes.

Parameters
----------
other : Series
    The value(s) to be used for filling null values.

Returns
-------
Series
    The result of combining the provided Series with the other object.

See Also
--------
Series.combine : Perform element-wise operation on two Series
    using a given function.

Examples
--------
>>> s1 = pd.Series([1, np.nan])
>>> s2 = pd.Series([3, 4, 5])
>>> s1.combine_first(s2)
0    1.0
1    4.0
2    5.0
dtype: float64

Null values still persist if the location of that null value
does not exist in `other`

>>> s1 = pd.Series({"falcon": np.nan, "eagle": 160.0})
>>> s2 = pd.Series({"eagle": 200.0, "duck": 30.0})
>>> s1.combine_first(s2)
duck       30.0
eagle     160.0
falcon      NaN
dtype: float64
r   ry  MzSilently casting non-datetime 'other' to datetime in Series.combine_first is deprecated and will be removed in a future version. Explicitly cast before calling combine_first instead.r   combine_firstr  )r{  rz  r   r   r   rz  r;   r`  
differencer=   r   r`  rc   r   r   r   r#   r)  )r   rJ  rz  rK  rK  
keep_other	keep_thiscombineds           r   r  Series.combine_first(  s1   X 	6::$zz  --yye44JJ$$U[[1	[[++DJJuT{,CD
JJ))*5	||I&j)::??c!ekk&6&6#&=&EMM) +- 4-(##I.$$T/$BBr   c                |   [         (       dW  [        R                  " U 5      [        ::  a9  [        R
                  " U 5      (       d  [        R                  " [        [        SS9  [        U[        5      (       d  [        U5      nUR                  U 5      n[        U5      nU R                  R                  X!S9U l        g)a  
Modify Series in place using values from passed Series.

Uses non-NA values from passed Series to make updates. Aligns
on index.

Parameters
----------
other : Series, or object coercible into Series
    Other Series that provides values to update the current Series.

See Also
--------
Series.combine : Perform element-wise operation on two Series
    using a given function.
Series.transform: Modify a Series using a function.

Examples
--------
>>> s = pd.Series([1, 2, 3])
>>> s.update(pd.Series([4, 5, 6]))
>>> s
0    4
1    5
2    6
dtype: int64

>>> s = pd.Series(["a", "b", "c"])
>>> s.update(pd.Series(["d", "e"], index=[0, 2]))
>>> s
0    d
1    b
2    e
dtype: str

>>> s = pd.Series([1, 2, 3])
>>> s.update(pd.Series([4, 5, 6, 7, 8]))
>>> s
0    4
1    5
2    6
dtype: int64

If ``other`` contains NaNs the corresponding values are not updated
in the original Series.

>>> s = pd.Series([1, 2, 3])
>>> s.update(pd.Series([4, np.nan, 6]))
>>> s
0    4
1    2
2    6
dtype: int64

``other`` can also be a non-Series object type
that is coercible into a Series

>>> s = pd.Series([1, 2, 3])
>>> s.update([4, np.nan, 6])
>>> s
0    4
1    2
2    6
dtype: int64

>>> s = pd.Series([1, 2, 3])
>>> s.update({1: 9})
>>> s
0    1
1    9
2    3
dtype: int64
r   r   )rz  newN)r   rb  rc  r   r   rd  r   r   r   r   r   r   reindex_liker=   r   putmask)r   rJ  rz  s      r   updateSeries.updateu  s    T ('!"*-*F*Ft*L*L9*  %((5ME""4(U|II%%4%;	r   )r   	ascendingr   r`  na_positionr  r<  c                   g r   r  r   r   r  r   r`  r  r  r<  s           r   sort_valuesSeries.sort_values       r   )r   r  r`  r  r  r<  c                   g r   r  r  s           r   r  r         r   c                   g r   r  r  s           r   r  r         r   	quicksortlastc               $   [        US5      nU R                  U5        [        U5      (       aC  [        [        [
           U5      n[        U5      S:w  a  [        S[        U5       S35      eUS   n[        U5      nUS;  a  [        SU 35      eU(       a$  [        [        [        X5      5      R                  nOU R                  n[        X[        U5      U5      n	[        U	[        U	5      5      (       a'  U(       a  U R                  U 5      $ U R                  SS	9$ U R!                  U R                  U	   U R"                  U	   SS
9n
U(       a  [%        [        U	5      5      U
l        U(       d  U
R'                  U SS9$ U R                  U
5        g)ui  
Sort by the values.

Sort a Series in ascending or descending order by some
criterion.

Parameters
----------
axis : {0 or 'index'}
    Unused. Parameter needed for compatibility with DataFrame.
ascending : bool or list of bools, default True
    If True, sort values in ascending order, otherwise descending.
inplace : bool, default False
    If True, perform operation in-place.
kind : {'quicksort', 'mergesort', 'heapsort', 'stable'}, default 'quicksort'
    Choice of sorting algorithm. See also :func:`numpy.sort` for more
    information. 'mergesort' and 'stable' are the only stable  algorithms.
na_position : {'first' or 'last'}, default 'last'
    Argument 'first' puts NaNs at the beginning, 'last' puts NaNs at
    the end.
ignore_index : bool, default False
    If True, the resulting axis will be labeled 0, 1, …, n - 1.
key : callable, optional
    If not None, apply the key function to the series values
    before sorting. This is similar to the `key` argument in the
    builtin :meth:`sorted` function, with the notable difference that
    this `key` function should be *vectorized*. It should expect a
    ``Series`` and return an array-like.

Returns
-------
Series or None
    Series ordered by values or None if ``inplace=True``.

See Also
--------
Series.sort_index : Sort by the Series indices.
DataFrame.sort_values : Sort DataFrame by the values along either axis.
DataFrame.sort_index : Sort DataFrame by indices.

Examples
--------
>>> s = pd.Series([np.nan, 1, 3, 10, 5])
>>> s
0     NaN
1     1.0
2     3.0
3     10.0
4     5.0
dtype: float64

Sort values ascending order (default behavior)

>>> s.sort_values(ascending=True)
1     1.0
2     3.0
4     5.0
3    10.0
0     NaN
dtype: float64

Sort values descending order

>>> s.sort_values(ascending=False)
3    10.0
4     5.0
2     3.0
1     1.0
0     NaN
dtype: float64

Sort values putting NAs first

>>> s.sort_values(na_position="first")
0     NaN
1     1.0
2     3.0
4     5.0
3    10.0
dtype: float64

Sort a series of strings

>>> s = pd.Series(["z", "b", "d", "a", "c"])
>>> s
0    z
1    b
2    d
3    a
4    c
dtype: str

>>> s.sort_values()
3    a
1    b
4    c
2    d
0    z
dtype: str

Sort using a key function. Your `key` function will be
given the ``Series`` of values and should return an array-like.

>>> s = pd.Series(["a", "B", "c", "D", "e"])
>>> s.sort_values()
1    B
3    D
0    a
2    c
4    e
dtype: str
>>> s.sort_values(key=lambda x: x.str.lower())
0    a
1    B
2    c
3    D
4    e
dtype: str

NumPy ufuncs work well here. For example, we can
sort by the ``sin`` of the value

>>> s = pd.Series([-4, -2, 0, 2, 4])
>>> s.sort_values(key=np.sin)
1   -2
4    4
2    0
0   -4
3    2
dtype: int64

More complicated user-defined functions can be used,
as long as they expect a Series and return an array-like

>>> s.sort_values(key=lambda x: (np.tan(x.cumsum())))
0   -4
3    2
4    4
1   -2
2    0
dtype: int64
r   rS  zLength of ascending (z) must be 1 for Seriesr   )r  r  zinvalid na_position: Fr   rF  r  r  N)r%   r  r2   r   r   r9  r   r   r$   r   r`   r  ra   r   r  r   r   r   rW   r)  )r   r   r  r   r`  r  r  r<  values_to_sortsorted_indexr>  s              r   r  r    ss   r &gy9d#	""Xd^Y7I9~" +C	N+;;QR  "!I&y1	//4[MBCC !&*;D*FGOON!\\Nd9o{SL#l*;<<++D1199%9((""LL&djj.FU # 
 (\):;FL&&tM&BBV$r   )r   r  r  r`  r  sort_remainingr  r<  c       	            g r   r  
r   r   r  r  r   r`  r  r  r  r<  s
             r   
sort_indexSeries.sort_index  s     r   	r   r  r  r   r`  r  r  r  r<  c       	            g r   r  r  s
             r   r  r    s     r   c       	            g r   r  r  s
             r   r  r    s     r   c       	        .   > [         T
U ]  UUUUUUUUU	S9	$ )u  
Sort Series by index labels.

Returns a new Series sorted by label if `inplace` argument is
``False``, otherwise updates the original series and returns None.

Parameters
----------
axis : {0 or 'index'}
    Unused. Parameter needed for compatibility with DataFrame.
level : int, optional
    If not None, sort on values in specified index level(s).
ascending : bool or list-like of bools, default True
    Sort ascending vs. descending. When the index is a MultiIndex the
    sort direction can be controlled for each level individually.
inplace : bool, default False
    If True, perform operation in-place.
kind : {'quicksort', 'mergesort', 'heapsort', 'stable'}, default 'quicksort'
    Choice of sorting algorithm. See also :func:`numpy.sort` for more
    information. 'mergesort' and 'stable' are the only stable algorithms. For
    DataFrames, this option is only applied when sorting on a single
    column or label.
na_position : {'first', 'last'}, default 'last'
    If 'first' puts NaNs at the beginning, 'last' puts NaNs at the end.
    Not implemented for MultiIndex.
sort_remaining : bool, default True
    If True and sorting by level and index is multilevel, sort by other
    levels too (in order) after sorting by specified level.
ignore_index : bool, default False
    If True, the resulting axis will be labeled 0, 1, …, n - 1.
key : callable, optional
    If not None, apply the key function to the index values
    before sorting. This is similar to the `key` argument in the
    builtin :meth:`sorted` function, with the notable difference that
    this `key` function should be *vectorized*. It should expect an
    ``Index`` and return an ``Index`` of the same shape.

Returns
-------
Series or None
    The original Series sorted by the labels or None if ``inplace=True``.

See Also
--------
DataFrame.sort_index: Sort DataFrame by the index.
DataFrame.sort_values: Sort DataFrame by the value.
Series.sort_values : Sort Series by the value.

Examples
--------
>>> s = pd.Series(["a", "b", "c", "d"], index=[3, 2, 1, 4])
>>> s.sort_index()
1    c
2    b
3    a
4    d
dtype: str

Sort Descending

>>> s.sort_index(ascending=False)
4    d
3    a
2    b
1    c
dtype: str

By default NaNs are put at the end, but use `na_position` to place
them at the beginning

>>> s = pd.Series(["a", "b", "c", "d"], index=[3, 2, 1, np.nan])
>>> s.sort_index(na_position="first")
NaN     d
 1.0    c
 2.0    b
 3.0    a
dtype: str

Specify index level to sort

>>> arrays = [
...     np.array(["qux", "qux", "foo", "foo", "baz", "baz", "bar", "bar"]),
...     np.array(["two", "one", "two", "one", "two", "one", "two", "one"]),
... ]
>>> s = pd.Series([1, 2, 3, 4, 5, 6, 7, 8], index=arrays)
>>> s.sort_index(level=1)
bar  one    8
baz  one    6
foo  one    4
qux  one    2
bar  two    7
baz  two    5
foo  two    3
qux  two    1
dtype: int64

Does not sort by remaining levels when sorting by levels

>>> s.sort_index(level=1, sort_remaining=False)
qux  one    2
foo  one    4
baz  one    6
bar  one    8
qux  two    1
foo  two    3
baz  two    5
bar  two    7
dtype: int64

Apply a key function before sorting

>>> s = pd.Series([1, 2, 3, 4], index=["A", "b", "C", "d"])
>>> s.sort_index(key=lambda x: x.str.lower())
A    1
b    2
C    3
d    4
dtype: int64
r  )r  r  )r   r   r  r  r   r`  r  r  r  r<  r  s             r   r  r    s8    J w!#)% " 

 
	
r   c                    US:w  a  U R                  U5        U R                  R                  US9nU R                  XPR                  U R
                  [        R                  SS9nUR                  U SS9$ )a  
Return the integer indices that would sort the Series values.

Override ndarray.argsort. Argsorts the value, omitting NA/null values,
and places the result in the same locations as the non-NA values.

Parameters
----------
axis : {0 or 'index'}
    Unused. Parameter needed for compatibility with DataFrame.
kind : {'mergesort', 'quicksort', 'heapsort', 'stable'}, default 'quicksort'
    Choice of sorting algorithm. See :func:`numpy.sort` for more
    information. 'mergesort' and 'stable' are the only stable algorithms.
order : None
    Has no effect but is accepted for compatibility with numpy.
stable : None
    Has no effect but is accepted for compatibility with numpy.

Returns
-------
Series[np.intp]
    Positions of values within the sort order with -1 indicating
    nan values.

See Also
--------
numpy.ndarray.argsort : Returns the indices that would sort this array.

Examples
--------
>>> s = pd.Series([3, 2, 1])
>>> s.argsort()
0    2
1    1
2    0
dtype: int64
rv  r_  F)r   r   r   r   argsortr  )	r  rL   r  r   r   r   r   intpr)  )r   r   r`  orderstabler>  r  s          r   r  Series.argsort{  ss    X 2:!!$'###.**499BGG%   
 Y77r   c                H    [         R                  " XUS9R                  5       $ )as	  
Return the largest `n` elements.

Parameters
----------
n : int, default 5
    Return this many descending sorted values.
keep : {'first', 'last', 'all'}, default 'first'
    When there are duplicate values that cannot all fit in a
    Series of `n` elements:

    - ``first`` : return the first `n` occurrences in order
      of appearance.
    - ``last`` : return the last `n` occurrences in reverse
      order of appearance.
    - ``all`` : keep all occurrences. This can result in a Series of
      size larger than `n`.

Returns
-------
Series
    The `n` largest values in the Series, sorted in decreasing order.

See Also
--------
Series.nsmallest: Get the `n` smallest elements.
Series.sort_values: Sort Series by values.
Series.head: Return the first `n` rows.

Notes
-----
Faster than ``.sort_values(ascending=False).head(n)`` for small `n`
relative to the size of the ``Series`` object.

Examples
--------
>>> countries_population = {
...     "Italy": 59000000,
...     "France": 65000000,
...     "Malta": 434000,
...     "Maldives": 434000,
...     "Brunei": 434000,
...     "Iceland": 337000,
...     "Nauru": 11300,
...     "Tuvalu": 11300,
...     "Anguilla": 11300,
...     "Montserrat": 5200,
... }
>>> s = pd.Series(countries_population)
>>> s
Italy       59000000
France      65000000
Malta         434000
Maldives      434000
Brunei        434000
Iceland       337000
Nauru          11300
Tuvalu         11300
Anguilla       11300
Montserrat      5200
dtype: int64

The `n` largest elements where ``n=5`` by default.

>>> s.nlargest()
France      65000000
Italy       59000000
Malta         434000
Maldives      434000
Brunei        434000
dtype: int64

The `n` largest elements where ``n=3``. Default `keep` value is 'first'
so Malta will be kept.

>>> s.nlargest(3)
France    65000000
Italy     59000000
Malta       434000
dtype: int64

The `n` largest elements where ``n=3`` and keeping the last duplicates.
Brunei will be kept since it is the last with value 434000 based on
the index order.

>>> s.nlargest(3, keep="last")
France      65000000
Italy       59000000
Brunei        434000
dtype: int64

The `n` largest elements where ``n=3`` with all duplicates kept. Note
that the returned Series has five elements due to the three duplicates.

>>> s.nlargest(3, keep="all")
France      65000000
Italy       59000000
Malta         434000
Maldives      434000
Brunei        434000
dtype: int64
nr  )r^   SelectNSeriesnlargestr   r  r  s      r   r  Series.nlargest  s!    R $$TT:CCEEr   c                H    [         R                  " XUS9R                  5       $ )aN	  
Return the smallest `n` elements.

Parameters
----------
n : int, default 5
    Return this many ascending sorted values.
keep : {'first', 'last', 'all'}, default 'first'
    When there are duplicate values that cannot all fit in a
    Series of `n` elements:

    - ``first`` : return the first `n` occurrences in order
      of appearance.
    - ``last`` : return the last `n` occurrences in reverse
      order of appearance.
    - ``all`` : keep all occurrences. This can result in a Series of
      size larger than `n`.

Returns
-------
Series
    The `n` smallest values in the Series, sorted in increasing order.

See Also
--------
Series.nlargest: Get the `n` largest elements.
Series.sort_values: Sort Series by values.
Series.head: Return the first `n` rows.

Notes
-----
Faster than ``.sort_values().head(n)`` for small `n` relative to
the size of the ``Series`` object.

Examples
--------
>>> countries_population = {
...     "Italy": 59000000,
...     "France": 65000000,
...     "Brunei": 434000,
...     "Malta": 434000,
...     "Maldives": 434000,
...     "Iceland": 337000,
...     "Nauru": 11300,
...     "Tuvalu": 11300,
...     "Anguilla": 11300,
...     "Montserrat": 5200,
... }
>>> s = pd.Series(countries_population)
>>> s
Italy       59000000
France      65000000
Brunei        434000
Malta         434000
Maldives      434000
Iceland       337000
Nauru          11300
Tuvalu         11300
Anguilla       11300
Montserrat      5200
dtype: int64

The `n` smallest elements where ``n=5`` by default.

>>> s.nsmallest()
Montserrat    5200
Nauru        11300
Tuvalu       11300
Anguilla     11300
Iceland     337000
dtype: int64

The `n` smallest elements where ``n=3``. Default `keep` value is
'first' so Nauru and Tuvalu will be kept.

>>> s.nsmallest(3)
Montserrat   5200
Nauru       11300
Tuvalu      11300
dtype: int64

The `n` smallest elements where ``n=3`` and keeping the last
duplicates. Anguilla and Tuvalu will be kept since they are the last
with value 11300 based on the index order.

>>> s.nsmallest(3, keep="last")
Montserrat   5200
Anguilla    11300
Tuvalu      11300
dtype: int64

The `n` smallest elements where ``n=3`` with all duplicates kept. Note
that the returned Series has four elements due to the three duplicates.

>>> s.nsmallest(3, keep="all")
Montserrat   5200
Nauru       11300
Tuvalu      11300
Anguilla    11300
dtype: int64
r  )r^   r  	nsmallestr  s      r   r  Series.nsmallest  s!    P $$TT:DDFFr   rv  c                    U R                  U5        [        U R                  [        5      (       d   eU R	                  SS9nU R                  R                  X5      Ul        U$ )ap
  
Swap levels i and j in a :class:`MultiIndex`.

Default is to swap the two innermost levels of the index.

Parameters
----------
i, j : int or str
    Levels of the indices to be swapped. Can pass level name as string.
copy : bool, default False
    This keyword is now ignored; changing its value will have no
    impact on the method.

    .. deprecated:: 3.0.0

        This keyword is ignored and will be removed in pandas 4.0. Since
        pandas 3.0, this method always returns a new object using a lazy
        copy mechanism that defers copies until necessary
        (Copy-on-Write). See the `user guide on Copy-on-Write
        <https://pandas.pydata.org/docs/dev/user_guide/copy_on_write.html>`__
        for more details.

Returns
-------
Series
    Series with levels swapped in MultiIndex.

See Also
--------
DataFrame.swaplevel : Swap levels i and j in a :class:`DataFrame`.
Series.reorder_levels : Rearrange index levels using input order.
MultiIndex.swaplevel : Swap levels i and j in a :class:`MultiIndex`.

Examples
--------
>>> s = pd.Series(
...     ["A", "B", "A", "C"],
...     index=[
...         ["Final exam", "Final exam", "Coursework", "Coursework"],
...         ["History", "Geography", "History", "Geography"],
...         ["January", "February", "March", "April"],
...     ],
... )
>>> s
Final exam  History    January     A
            Geography  February    B
Coursework  History    March       A
            Geography  April       C
dtype: str

In the following example, we will swap the levels of the indices.
Here, we will swap the levels column-wise, but levels can be swapped row-wise
in a similar manner. Note that column-wise is the default behavior.
By not supplying any arguments for i and j, we swap the last and second to
last indices.

>>> s.swaplevel()
Final exam  January   History       A
            February  Geography     B
Coursework  March     History       A
            April     Geography     C
dtype: str

By supplying one argument, we can choose which index to swap the last
index with. We can for example swap the first index with the last one as
follows.

>>> s.swaplevel(0)
January     History     Final exam      A
February    Geography   Final exam      B
March       History     Coursework      A
April       Geography   Coursework      C
dtype: str

We can also define explicitly which indices we want to swap by supplying values
for both i and j. Here, we for example swap the first and second indices.

>>> s.swaplevel(0, 1)
History     Final exam  January         A
Geography   Final exam  February        B
History     Coursework  March           A
Geography   Coursework  April           C
dtype: str
Fr   )_check_copy_deprecationr   r   rU   r   	swaplevel)r   r$  jr   r>  s        r   r  Series.swaplevel  sU    n 	$$T*$**j1111&zz++A1r   c                    [        U R                  [        5      (       d  [        S5      eU R	                  SS9n[        UR                  [        5      (       d   eUR                  R                  U5      Ul        U$ )ag  
Rearrange index levels using input order.

May not drop or duplicate levels.

Parameters
----------
order : list of int representing new level order
    Reference level by number or key.

Returns
-------
Series
    Type of caller with index as MultiIndex (new object).

See Also
--------
DataFrame.reorder_levels : Rearrange index or column levels using
    input ``order``.

Examples
--------
>>> arrays = [
...     np.array(["dog", "dog", "cat", "cat", "bird", "bird"]),
...     np.array(["white", "black", "white", "black", "white", "black"]),
... ]
>>> s = pd.Series([1, 2, 3, 3, 5, 2], index=arrays)
>>> s
dog   white    1
      black    2
cat   white    3
      black    3
bird  white    5
      black    2
dtype: int64
>>> s.reorder_levels([1, 0])
white  dog     1
black  dog     2
white  cat     3
black  cat     3
white  bird    5
black  bird    2
dtype: int64
z/Can only reorder levels on a hierarchical axis.Fr   )r   r   rU   rb  r   reorder_levels)r   r  r>  s      r   r  Series.reorder_levels  sd    Z $**j11MNN&&,,
3333||2259r   c                0   [        U R                  [        5      (       a  U R                  R	                  5       u  p#O[        U 5      (       aQ  [        U R                  5      (       a7  [        R                  " [        R                  " U R                  5      5      u  p#O(U R                  5       nU(       a  UR                  SS9$ U$ U(       a  [        [        U5      5      nOU R                  R                  U5      nU R!                  X%U R"                  SS9$ )u  
Transform each element of a list-like to a row.

Parameters
----------
ignore_index : bool, default False
    If True, the resulting index will be labeled 0, 1, …, n - 1.

Returns
-------
Series
    Exploded lists to rows; index will be duplicated for these rows.

See Also
--------
Series.str.split : Split string values on specified separator.
Series.unstack : Unstack, a.k.a. pivot, Series with MultiIndex
    to produce DataFrame.
DataFrame.melt : Unpivot a DataFrame from wide format to long format.
DataFrame.explode : Explode a DataFrame from list-like
    columns to long format.

Notes
-----
This routine will explode list-likes including lists, tuples, sets,
Series, and np.ndarray. The result dtype of the subset rows will
be object. Scalars will be returned unchanged, and empty list-likes will
result in an np.nan for that row. In addition, the ordering of elements in
the output will be non-deterministic when exploding sets.

Reference :ref:`the user guide <reshaping.explode>` for more examples.

Examples
--------
>>> s = pd.Series([[1, 2, 3], "foo", [], [3, 4]])
>>> s
0    [1, 2, 3]
1          foo
2           []
3       [3, 4]
dtype: object

>>> s.explode()
0      1
0      2
0      3
1    foo
2    NaN
3      3
3      4
dtype: object
T)r  FrT  )r   r   r7   r  _exploder   r3   r   exploder   r  r   r  rW   r   r  r   r   )r   r  r   countsr>  r   s         r   r  Series.explode  s    j djj.11!\\224NFFYY?4::66$__RZZ-EFNFFYY[F4@6%%4%0LfL(V5EJJ%%f-E  4995 QQr   c                     SSK Jn  U" XX#5      $ )a  
Unstack, also known as pivot, Series with MultiIndex to produce DataFrame.

Parameters
----------
level : int, str, or list of these, default last level
    Level(s) to unstack, can pass level name.
fill_value : scalar value, default None
    Value to use when replacing NaN values.
sort : bool, default True
    Sort the level(s) in the resulting MultiIndex columns.

Returns
-------
DataFrame
    Unstacked Series.

See Also
--------
DataFrame.unstack : Pivot the MultiIndex of a DataFrame.

Notes
-----
Reference :ref:`the user guide <reshaping.stacking>` for more examples.

Examples
--------
>>> s = pd.Series(
...     [1, 2, 3, 4],
...     index=pd.MultiIndex.from_product([["one", "two"], ["a", "b"]]),
... )
>>> s
one  a    1
     b    2
two  a    3
     b    4
dtype: int64

>>> s.unstack(level=-1)
     a  b
one  1  2
two  3  4

>>> s.unstack(level=0)
   one  two
a    1    3
b    2    4
r   )unstack)pandas.core.reshape.reshaper  )r   r  r  r  r  s        r   r  Series.unstack]  s    l 	8tJ55r   c           	        UcE  SU;   a4  UR                  S5      n[        R                  " S[        [	        5       S9  O[        S5      eUb  [        U5      (       d  [        S5      e[        US5      (       d  [        SU< 35      eUR                  R                  U USUUUS	:H  S
9n[        U[        5      (       d  [        XPR                  U R                  S9nUR                  U SS9$ [        U5      (       a  [        R                   " U40 UD6nU R#                  XS9nU R%                  X`R                  SS9R                  U SS9$ )a  
Map values of Series according to an input mapping or function.

Used for substituting each value in a Series with another value,
that may be derived from a function, a ``dict`` or
a :class:`Series`.

Parameters
----------
func : function, collections.abc.Mapping subclass or Series
    Function or mapping correspondence.
na_action : {None, 'ignore'}, default None
    If 'ignore', propagate NaN values, without passing them to the
    mapping correspondence.
engine : decorator, optional
    Choose the execution engine to use to run the function. Only used for
    functions. If ``map`` is called with a mapping or ``Series``, an
    exception will be raised. If ``engine`` is not provided the function will
    be executed by the regular Python interpreter.

    Options include JIT compilers such as Numba, Bodo or Blosc2, which in some
    cases can speed up the execution. To use an executor you can provide the
    decorators ``numba.jit``, ``numba.njit``, ``bodo.jit`` or ``blosc2.jit``.
    You can also provide the decorator with parameters, like
    ``numba.jit(nogit=True)``.

    Not all functions can be executed with all execution engines. In general,
    JIT compilers will require type stability in the function (no variable
    should change data type during the execution). And not all pandas and
    NumPy APIs are supported. Check the engine documentation for limitations.

    .. versionadded:: 3.0.0

**kwargs
    Additional keyword arguments to pass as keywords arguments to
    `arg`.

    .. versionadded:: 3.0.0

Returns
-------
Series
    Same index as caller.

See Also
--------
Series.apply : For applying more complex functions on a Series.
Series.replace: Replace values given in `to_replace` with `value`.
DataFrame.apply : Apply a function row-/column-wise.
DataFrame.map : Apply a function elementwise on a whole DataFrame.

Notes
-----
When ``arg`` is a dictionary, values in Series that are not in the
dictionary (as keys) are converted to ``NaN``. However, if the
dictionary is a ``dict`` subclass that defines ``__missing__`` (i.e.
provides a method for default values), then this default is used
rather than ``NaN``.

Examples
--------
>>> s = pd.Series(["cat", "dog", np.nan, "rabbit"])
>>> s
0      cat
1      dog
2      NaN
3   rabbit
dtype: str

``map`` accepts a ``dict`` or a ``Series``. Values that are not found
in the ``dict`` are converted to ``NaN``, unless the dict has a default
value (e.g. ``defaultdict``):

>>> s.map({"cat": "kitten", "dog": "puppy"})
0   kitten
1    puppy
2      NaN
3      NaN
dtype: str

It also accepts a function:

>>> s.map("I am a {}".format)
0       I am a cat
1       I am a dog
2       I am a nan
3    I am a rabbit
dtype: str

To avoid applying the function to missing values (and keep them as
``NaN``) ``na_action='ignore'`` can be used:

>>> s.map("I am a {}".format, na_action="ignore")
0     I am a cat
1     I am a dog
2            NaN
3  I am a rabbit
dtype: str

For categorical data, the function is only applied to the categories:

>>> s = pd.Series(list("cabaa"))
>>> s.map(print)
c
a
b
a
a
0    None
1    None
2    None
3    None
4    None
dtype: object

>>> s_cat = s.astype("category")
>>> s_cat.map(print)  # function called once per unique category
a
b
c
0    None
1    None
2    None
3    None
4    None
dtype: object
argzoThe parameter `arg` has been renamed to `func`, and it will stop being supported in a future version of pandas.r   z The `func` parameter is requiredzAThe engine argument can only be specified when func is a function__pandas_udf__zNot a valid engine: r  r  )r   r  r  r  	decoratorskip_nar6  mapr  )	na_actionFrF  )popr   r   r   r#   r   rH  r  r  r  r   r   r   r   r)  	functoolspartial_map_valuesr   )r   r  r  enginer  r>  r[  s          r   r  
Series.map  sX   L <zz%(O"/1	 !!CDDD>> W  6#344 #7z!BCC**.. !X- / F ff--jjtyyI&&tE&::D>>$$T4V4D%%d%@
  ::E JWW X 
 	
r   c                    U $ )z
Sub-classes to define. Return a sliced object.

Parameters
----------
key : string / list of selections
ndim : {1, 2}
    Requested ndim of result.
subset : object, default None
    Subset to act on.
r  )r   r<  r7  subsets       r   _gotitemSeries._gotitemH  s	     r   z
    See Also
    --------
    Series.apply : Invoke function on a Series.
    Series.transform : Transform function producing a Series with like indexes.
    z
    Examples
    --------
    >>> s = pd.Series([1, 2, 3, 4])
    >>> s
    0    1
    1    2
    2    3
    3    4
    dtype: int64

    >>> s.agg('min')
    1

    >>> s.agg(['min', 'max'])
    min   1
    max   4
    dtype: int64
    c                    U R                  U5        Uc  [        UR                  5       5      n[        XX4S9nUR	                  5       nU$ )a  
Aggregate using one or more operations over the specified axis.

Parameters
----------
func : function, str, list or dict
    Function to use for aggregating the data. If a function, must either
    work when passed a Series or when passed to Series.apply.

    Accepted combinations are:

    - function
    - string function name
    - list of functions and/or function names, e.g. ``[np.sum, 'mean']``
    - dict of axis labels -> functions, function names or list of such.
axis : {0 or 'index'}
    Unused. Parameter needed for compatibility with DataFrame.
*args
    Positional arguments to pass to `func`.
**kwargs
    Keyword arguments to pass to `func`.

Returns
-------
scalar, Series or DataFrame
    The return can be:

    * scalar : when Series.agg is called with single function
    * Series : when DataFrame.agg is called with a single function
    * DataFrame : when DataFrame.agg is called with several functions

See Also
--------
Series.apply : Invoke function on a Series.
Series.transform : Transform function producing a Series with like indexes.

Notes
-----
The aggregation operations are always performed over an axis, either the
index (default) or the column axis. This behavior is different from
`numpy` aggregation functions (`mean`, `median`, `prod`, `sum`, `std`,
`var`), where the default is to compute the aggregation of the flattened
array, e.g., ``numpy.mean(arr_2d)`` as opposed to
``numpy.mean(arr_2d, axis=0)``.

`agg` is an alias for `aggregate`. Use the alias.

Functions that mutate the passed object can produce unexpected
behavior or errors and are not supported. See :ref:`gotchas.udf-mutation`
for more details.

A passed user-defined-function will be passed a Series for evaluation.

If ``func`` defines an index relabeling, ``axis`` must be ``0`` or ``index``.

Examples
--------
>>> s = pd.Series([1, 2, 3, 4])
>>> s
0    1
1    2
2    3
3    4
dtype: int64

>>> s.agg("min")
1

>>> s.agg(["min", "max"])
min   1
max   4
dtype: int64
)r  r  )r  dictr  rF   agg)r   r  r   r  r  opr>  s          r   	aggregateSeries.aggregateu  sF    X 	d# <'D$>r   c                v    U R                  U5        U R                  SS9n[        XQX4S9R                  5       nU$ )aQ  
Call ``func`` on self producing a Series with the same axis shape as self.

Parameters
----------
func : function, str, list-like or dict-like
    Function to use for transforming the data. If a function, must either
    work when passed a Series or when passed to Series.apply. If func
    is both list-like and dict-like, dict-like behavior takes precedence.

    Accepted combinations are:

    - function
    - string function name
    - list-like of functions and/or function names, e.g. ``[np.exp, 'sqrt']``
    - dict-like of axis labels -> functions, function names or list-like of such

axis : {0 or 'index'}
    Unused. Parameter needed for compatibility with DataFrame.

*args
    Positional arguments to pass to `func`.
**kwargs
    Keyword arguments to pass to `func`.

Returns
-------
Series
    A Series that must have the same length as self.

Raises
------
ValueError : If the returned Series has a different length than self.

See Also
--------
Series.agg : Only perform aggregating type operations.
Series.apply : Invoke function on a Series.

Notes
-----
Functions that mutate the passed object can produce unexpected
behavior or errors and are not supported. See :ref:`gotchas.udf-mutation`
for more details.

Examples
--------
>>> df = pd.DataFrame({"A": range(3), "B": range(1, 4)})
>>> df
A  B
0  0  1
1  1  2
2  2  3
>>> df.transform(lambda x: x + 1)
A  B
0  1  2
1  2  3
2  3  4

Even though the resulting Series must have the same length as the
input Series, it is possible to provide several input functions:

>>> s = pd.Series(range(3))
>>> s
0    0
1    1
2    2
dtype: int64
>>> s.transform([np.sqrt, np.exp])
    sqrt        exp
0  0.000000   1.000000
1  1.000000   2.718282
2  1.414214   7.389056

You can call transform on a GroupBy object:

>>> df = pd.DataFrame(
...     {
...         "Date": [
...             "2015-05-08",
...             "2015-05-07",
...             "2015-05-06",
...             "2015-05-05",
...             "2015-05-08",
...             "2015-05-07",
...             "2015-05-06",
...             "2015-05-05",
...         ],
...         "Data": [5, 8, 6, 1, 50, 100, 60, 120],
...     }
... )
>>> df
        Date  Data
0  2015-05-08     5
1  2015-05-07     8
2  2015-05-06     6
3  2015-05-05     1
4  2015-05-08    50
5  2015-05-07   100
6  2015-05-06    60
7  2015-05-05   120
>>> df.groupby("Date")["Data"].transform("sum")
0     55
1    108
2     66
3    121
4     55
5    108
6     66
7    121
Name: Data, dtype: int64

>>> df = pd.DataFrame(
...     {
...         "c": [1, 1, 1, 2, 2, 2, 2],
...         "type": ["m", "n", "o", "m", "m", "n", "n"],
...     }
... )
>>> df
c type
0  1    m
1  1    n
2  1    o
3  2    m
4  2    m
5  2    n
6  2    n
>>> df["size"] = df.groupby("c")["type"].transform(len)
>>> df
c type size
0  1    m    3
1  1    n    3
2  1    o    3
3  2    m    4
4  2    m    4
5  2    n    4
6  2    n    4
Fr   )r  r  r  )r  r   rF   	transform)r   r  r   r  r  r   r>  s          r   r  Series.transform  s=    \ 	d#iiUi#S$FPPRr   r   )by_rowc               8    [        U UUUUS9R                  5       $ )a
  
Invoke function on values of Series.

Can be ufunc (a NumPy function that applies to the entire Series)
or a Python function that only works on single values.

Parameters
----------
func : function
    Python function or NumPy ufunc to apply.
args : tuple
    Positional arguments passed to func after the series value.
by_row : False or "compat", default "compat"
    If ``"compat"`` and func is a callable, func will be passed each element of
    the Series, like ``Series.map``. If func is a list or dict of
    callables, will first try to translate each func into pandas methods. If
    that doesn't work, will try call to apply again with ``by_row="compat"``
    and if that fails, will call apply again with ``by_row=False``
    (backward compatible).
    If False, the func will be passed the whole Series at once.

    ``by_row`` has no effect when ``func`` is a string.

    .. versionadded:: 2.1.0
**kwargs
    Additional keyword arguments passed to func.

Returns
-------
Series or DataFrame
    If func returns a Series object the result will be a DataFrame.

See Also
--------
Series.map: For element-wise operations.
Series.agg: Only perform aggregating type operations.
Series.transform: Only perform transforming type operations.

Notes
-----
Functions that mutate the passed object can produce unexpected
behavior or errors and are not supported. See :ref:`gotchas.udf-mutation`
for more details.

Examples
--------
Create a series with typical summer temperatures for each city.

>>> s = pd.Series([20, 21, 12], index=["London", "New York", "Helsinki"])
>>> s
London      20
New York    21
Helsinki    12
dtype: int64

Square the values by defining a function and passing it as an
argument to ``apply()``.

>>> def square(x):
...     return x**2
>>> s.apply(square)
London      400
New York    441
Helsinki    144
dtype: int64

Square the values by passing an anonymous function as an
argument to ``apply()``.

>>> s.apply(lambda x: x**2)
London      400
New York    441
Helsinki    144
dtype: int64

Define a custom function that needs additional positional
arguments and pass these additional arguments using the
``args`` keyword.

>>> def subtract_custom_value(x, custom_value):
...     return x - custom_value

>>> s.apply(subtract_custom_value, args=(5,))
London      15
New York    16
Helsinki     7
dtype: int64

Define a custom function that takes keyword arguments
and pass these arguments to ``apply``.

>>> def add_custom_values(x, **kwargs):
...     for month in kwargs:
...         x += kwargs[month]
...     return x

>>> s.apply(add_custom_values, june=30, july=20, august=25)
London      95
New York    96
Helsinki    87
dtype: int64

Use a function from the Numpy library.

>>> s.apply(np.log)
London      2.995732
New York    3.044522
Helsinki    2.484907
dtype: float64
)r  r  r  )rF   apply)r   r  r  r  r  s        r   r  Series.apply`  s*    l 
 %'	r   c                    Uc6  Ub$  UR                   U R                  R                   :X  a  U R                  SS9$ [        R                  " U R
                  USS S9nU R                  X1SS9$ )NFr   T)
allow_fillr  rF  )namesr   r   r?   take_ndr  r   )r   rK  rJ  r[  s       r   _reindex_indexerSeries._reindex_indexer  sj     ?DJJ4D4D!D99%9((''LL'dt

   5 IIr   c                    g)zK
Check if we do need a multi reindex; this is for compat with
higher dims.
Fr  )r   r   r  r  s       r   _needs_reindex_multiSeries._needs_reindex_multi  s    
 r   )r   r   r  errorsc                   g r   r  r   r   r   r   r   r  r  s          r   renameSeries.rename  s     r   )r   r   r   r  r  c                   g r   r  r	  s          r   r
  r    s     r   r  c                  > U R                  U5        Ub  U R                  U5      n[        U5      (       d  [        U5      (       a  [        TU ]  UUUUS9$ U R                  XS9$ )a  
Alter Series index labels or name.

Function / dict values must be unique (1-to-1). Labels not contained in
a dict / Series will be left as-is. Extra labels listed don't throw an
error.

Alternatively, change ``Series.name`` with a scalar value.

See the :ref:`user guide <basics.rename>` for more.

Parameters
----------
index : scalar, hashable sequence, dict-like or function optional
    Functions or dict-like are transformations to apply to
    the index.
    Scalar or hashable sequence-like will alter the ``Series.name``
    attribute.
axis : {0 or 'index'}
    Unused. Parameter needed for compatibility with DataFrame.
copy : bool, default False
    This keyword is now ignored; changing its value will have no
    impact on the method.

    .. deprecated:: 3.0.0

        This keyword is ignored and will be removed in pandas 4.0. Since
        pandas 3.0, this method always returns a new object using a lazy
        copy mechanism that defers copies until necessary
        (Copy-on-Write). See the `user guide on Copy-on-Write
        <https://pandas.pydata.org/docs/dev/user_guide/copy_on_write.html>`__
        for more details.

inplace : bool, default False
    Whether to return a new Series. If True the value of copy is ignored.
level : int or level name, default None
    In case of MultiIndex, only rename labels in the specified level.
errors : {'ignore', 'raise'}, default 'ignore'
    If 'raise', raise `KeyError` when a `dict-like mapper` or
    `index` contains labels that are not present in the index being transformed.
    If 'ignore', existing keys will be renamed and extra keys will be ignored.

Returns
-------
Series
    A shallow copy with index labels or name altered, or the same object
    if ``inplace=True`` and index is not a dict or callable else None.

See Also
--------
DataFrame.rename : Corresponding DataFrame method.
Series.rename_axis : Set the name of the axis.

Examples
--------
>>> s = pd.Series([1, 2, 3])
>>> s
0    1
1    2
2    3
dtype: int64
>>> s.rename("my_name")  # scalar, changes Series.name
0    1
1    2
2    3
Name: my_name, dtype: int64
>>> s.rename(lambda x: x**2)  # function, changes labels
0    1
1    2
4    3
dtype: int64
>>> s.rename({1: 3, 2: 5})  # mapping, changes labels
0    1
3    2
5    3
dtype: int64
)r   r  r  ra  )r  r  rH  r.   r  _renamer  )r   r   r   r   r   r  r  r  s          r   r
  r    st    n 	$$T*((.DE??l511
 7?	 #   >>%>99r   r   r   c                   > [         TU ]  XUS9$ )a  
Assign desired index to given axis.

.. deprecated:: 3.0.0
    This keyword is ignored and will be removed in pandas 4.0. Since
    pandas 3.0, this method always returns a new object using a lazy
    copy mechanism that defers copies until necessary
    (Copy-on-Write). See the `user guide on Copy-on-Write
    <https://pandas.pydata.org/docs/dev/user_guide/copy_on_write.html>`__
    for more details.

Indexes for row labels can be changed by assigning a list-like or Index.

Parameters
----------
labels : list-like or Index
    The values for the new index.
axis : {0 or 'index'}, default 0
    The axis to update. The value 0 identifies the rows. For `Series`
    this parameter is unused and defaults to 0.
copy : bool, default False
    This keyword is now ignored; changing its value will have no
    impact on the method.

Returns
-------
Series
    A shallow copy of the object with axis altered to the given index.

See Also
--------
Series.rename_axis : Alter the name of the index.

Examples
--------
>>> s = pd.Series([1, 2, 3])
>>> s
0    1
1    2
2    3
dtype: int64
>>> s.set_axis(["a", "b", "c"], axis=0)
a    1
b    2
c    3
dtype: int64
r  )r  set_axis)r   labelsr   r   r  s       r   r  Series.set_axisx  s    n w==r   )r   r  r   r  r  limit	tolerancec          
     *   > [         T	U ]  UUUUUUUS9$ )aj  
Conform Series to new index with optional filling logic.

Places NA/NaN in locations having no value in the previous index. A new object
is produced unless the new index is equivalent to the current one and
``copy=False``.

Parameters
----------
index : scalar, list-like, dict-like or function, optional
    A scalar, list-like, dict-like or functions transformations to
    apply to that axis' values.
axis : {0 or 'index'}, default 0
    The axis to rename. For `Series` this parameter is unused and defaults to 0.
method : {{None, 'backfill'/'bfill', 'pad'/'ffill', 'nearest'}}
    Method to use for filling holes in reindexed DataFrame.
    Please note: this is only applicable to DataFrames/Series with a
    monotonically increasing/decreasing index.

    * None (default): don't fill gaps
    * pad / ffill: Propagate last valid observation forward to next
      valid.
    * backfill / bfill: Use next valid observation to fill gap.
    * nearest: Use nearest valid observations to fill gap.

copy : bool, default False
    This keyword is now ignored; changing its value will have no
    impact on the method.

    .. deprecated:: 3.0.0

        This keyword is ignored and will be removed in pandas 4.0. Since
        pandas 3.0, this method always returns a new object using a lazy
        copy mechanism that defers copies until necessary
        (Copy-on-Write). See the `user guide on Copy-on-Write
        <https://pandas.pydata.org/docs/dev/user_guide/copy_on_write.html>`__
        for more details.

level : int or name
    Broadcast across a level, matching Index values on the
    passed MultiIndex level.
fill_value : scalar, default np.nan
    Value to use for missing values. Defaults to NaN, but can be any
    "compatible" value.
limit : int, default None
    Maximum number of consecutive elements to forward or backward fill.
tolerance : optional
    Maximum distance between original and new labels for inexact
    matches. The values of the index at the matching locations most
    satisfy the equation ``abs(index[indexer] - target) <= tolerance``.

    Tolerance may be a scalar value, which applies the same tolerance
    to all values, or list-like, which applies variable tolerance per
    element. List-like includes list, tuple, array, Series, and must be
    the same size as the index and its dtype must exactly match the
    index's type.

Returns
-------
Series
    Series with changed index.

See Also
--------
DataFrame.set_index : Set row labels.
DataFrame.reset_index : Remove row labels or move them to new columns.
DataFrame.reindex_like : Change to same indices as other DataFrame.

Examples
--------
``DataFrame.reindex`` supports two calling conventions

* ``(index=index_labels, columns=column_labels, ...)``
* ``(labels, axis={{'index', 'columns'}}, ...)``

We *highly* recommend using keyword arguments to clarify your
intent.

Create a DataFrame with some fictional data.

>>> index = ["Firefox", "Chrome", "Safari", "IE10", "Konqueror"]
>>> columns = ["http_status", "response_time"]
>>> df = pd.DataFrame(
...     [[200, 0.04], [200, 0.02], [404, 0.07], [404, 0.08], [301, 1.0]],
...     columns=columns,
...     index=index,
... )
>>> df
           http_status  response_time
Firefox            200           0.04
Chrome             200           0.02
Safari             404           0.07
IE10               404           0.08
Konqueror          301           1.00

Create a new index and reindex the DataFrame. By default
values in the new index that do not have corresponding
records in the DataFrame are assigned ``NaN``.

>>> new_index = ["Safari", "Iceweasel", "Comodo Dragon", "IE10", "Chrome"]
>>> df.reindex(new_index)
               http_status  response_time
Safari               404.0           0.07
Iceweasel              NaN            NaN
Comodo Dragon          NaN            NaN
IE10                 404.0           0.08
Chrome               200.0           0.02

We can fill in the missing values by passing a value to
the keyword ``fill_value``. Because the index is not monotonically
increasing or decreasing, we cannot use arguments to the keyword
``method`` to fill the ``NaN`` values.

>>> df.reindex(new_index, fill_value=0)
               http_status  response_time
Safari                 404           0.07
Iceweasel                0           0.00
Comodo Dragon            0           0.00
IE10                   404           0.08
Chrome                 200           0.02

>>> df.reindex(new_index, fill_value="missing")
              http_status response_time
Safari                404          0.07
Iceweasel         missing       missing
Comodo Dragon     missing       missing
IE10                  404          0.08
Chrome                200          0.02

We can also reindex the columns.

>>> df.reindex(columns=["http_status", "user_agent"])
           http_status  user_agent
Firefox            200         NaN
Chrome             200         NaN
Safari             404         NaN
IE10               404         NaN
Konqueror          301         NaN

Or we can use "axis-style" keyword arguments

>>> df.reindex(["http_status", "user_agent"], axis="columns")
           http_status  user_agent
Firefox            200         NaN
Chrome             200         NaN
Safari             404         NaN
IE10               404         NaN
Konqueror          301         NaN

To further illustrate the filling functionality in
``reindex``, we will create a DataFrame with a
monotonically increasing index (for example, a sequence
of dates).

>>> date_index = pd.date_range("1/1/2010", periods=6, freq="D")
>>> df2 = pd.DataFrame(
...     {"prices": [100, 101, np.nan, 100, 89, 88]}, index=date_index
... )
>>> df2
            prices
2010-01-01   100.0
2010-01-02   101.0
2010-01-03     NaN
2010-01-04   100.0
2010-01-05    89.0
2010-01-06    88.0

Suppose we decide to expand the DataFrame to cover a wider
date range.

>>> date_index2 = pd.date_range("12/29/2009", periods=10, freq="D")
>>> df2.reindex(date_index2)
            prices
2009-12-29     NaN
2009-12-30     NaN
2009-12-31     NaN
2010-01-01   100.0
2010-01-02   101.0
2010-01-03     NaN
2010-01-04   100.0
2010-01-05    89.0
2010-01-06    88.0
2010-01-07     NaN

The index entries that did not have a value in the original data frame
(for example, '2009-12-29') are by default filled with ``NaN``.
If desired, we can fill in the missing values using one of several
options.

For example, to back-propagate the last valid value to fill the ``NaN``
values, pass ``bfill`` as an argument to the ``method`` keyword.

>>> df2.reindex(date_index2, method="bfill")
            prices
2009-12-29   100.0
2009-12-30   100.0
2009-12-31   100.0
2010-01-01   100.0
2010-01-02   101.0
2010-01-03     NaN
2010-01-04   100.0
2010-01-05    89.0
2010-01-06    88.0
2010-01-07     NaN

Please note that the ``NaN`` value present in the original DataFrame
(at index value 2010-01-03) will not be filled by any of the
value propagation schemes. This is because filling while reindexing
does not look at DataFrame values, but only compares the original and
desired indexes. If you do want to fill in the ``NaN`` values present
in the original DataFrame, use the ``fillna()`` method.

See the :ref:`user guide <basics.reindexing>` for more.
)r   r  r  r  r  r  r   )r  r   )
r   r   r   r  r   r  r  r  r  r  s
            r   r   Series.reindex  s1    D w!  
 	
r   )r   r   r   c                   g r   r  r   mapperr   r   r   r   s         r   rename_axisSeries.rename_axis  r  r   )r   r   r   r   c                   g r   r  r  s         r   r  r    r  r   c                   g r   r  r  s         r   r  r    s     r   c               &   > [         TU ]  UUUUUS9$ )aF  
Set the name of the axis for the index.

Parameters
----------
mapper : scalar, list-like, optional
    Value to set the axis name attribute.

    Use either ``mapper`` and ``axis`` to
    specify the axis to target with ``mapper``, or ``index``.

index : scalar, list-like, dict-like or function, optional
    A scalar, list-like, dict-like or functions transformations to
    apply to that axis' values.
axis : {0 or 'index'}, default 0
    The axis to rename. For `Series` this parameter is unused and defaults to 0.
copy : bool, default False
    This keyword is now ignored; changing its value will have no
    impact on the method.

    .. deprecated:: 3.0.0

        This keyword is ignored and will be removed in pandas 4.0. Since
        pandas 3.0, this method always returns a new object using a lazy
        copy mechanism that defers copies until necessary
        (Copy-on-Write). See the `user guide on Copy-on-Write
        <https://pandas.pydata.org/docs/dev/user_guide/copy_on_write.html>`__
        for more details.

inplace : bool, default False
    Modifies the object directly, instead of creating a new Series
    or DataFrame.

Returns
-------
Series, or None
    The same type as the caller or None if ``inplace=True``.

See Also
--------
Series.rename : Alter Series index labels or name.
DataFrame.rename : Alter DataFrame index labels or name.
Index.rename : Set new names on index.

Examples
--------

>>> s = pd.Series(["dog", "cat", "monkey"])
>>> s
0       dog
1       cat
2    monkey
dtype: str
>>> s.rename_axis("animal")
animal
0    dog
1    cat
2    monkey
dtype: str
)r  r   r   r   r   )r  r  )r   r  r   r   r   r   r  s         r   r  r    s,    J w" # 
 	
r   )r   r   r  r  r  c                   g r   r  r   r  r   r   r  r  r   r  s           r   r  Series.drop  r  r   )r   r   r  r  r   r  c                   g r   r  r!  s           r   r  r"    r  r   c                   g r   r  r!  s           r   r  r"  '  r  r   raisec          
     *   > [         TU ]  UUUUUUUS9$ )a  
Return Series with specified index labels removed.

Remove elements of a Series based on specifying the index labels.
When using a multi-index, labels on different levels can be removed
by specifying the level.

Parameters
----------
labels : single label or list-like
    Index labels to drop.
axis : {0 or 'index'}
    Unused. Parameter needed for compatibility with DataFrame.
index : single label or list-like
    Redundant for application on Series, but 'index' can be used instead
    of 'labels'.
columns : single label or list-like
    No change is made to the Series; use 'index' or 'labels' instead.
level : int or level name, optional
    For MultiIndex, level for which the labels will be removed.
inplace : bool, default False
    If True, do operation inplace and return None.
errors : {'ignore', 'raise'}, default 'raise'
    If 'ignore', suppress error and only existing labels are dropped.

Returns
-------
Series or None
    Series with specified index labels removed or None if ``inplace=True``.

Raises
------
KeyError
    If none of the labels are found in the index.

See Also
--------
Series.reindex : Return only specified index labels of Series.
Series.dropna : Return series without null values.
Series.drop_duplicates : Return Series with duplicate values removed.
DataFrame.drop : Drop specified labels from rows or columns.

Examples
--------
>>> s = pd.Series(data=np.arange(3), index=["A", "B", "C"])
>>> s
A  0
B  1
C  2
dtype: int64

Drop labels B and C

>>> s.drop(labels=["B", "C"])
A  0
dtype: int64

Drop 2nd level label in MultiIndex Series

>>> midx = pd.MultiIndex(
...     levels=[["llama", "cow", "falcon"], ["speed", "weight", "length"]],
...     codes=[[0, 0, 0, 1, 1, 1, 2, 2, 2], [0, 1, 2, 0, 1, 2, 0, 1, 2]],
... )
>>> s = pd.Series([45, 200, 1.2, 30, 250, 1.5, 320, 1, 0.3], index=midx)
>>> s
llama   speed      45.0
        weight    200.0
        length      1.2
cow     speed      30.0
        weight    250.0
        length      1.5
falcon  speed     320.0
        weight      1.0
        length      0.3
dtype: float64

>>> s.drop(labels="weight", level=1)
llama   speed      45.0
        length      1.2
cow     speed      30.0
        length      1.5
falcon  speed     320.0
        length      0.3
dtype: float64
)r  r   r   r  r  r   r  )r  r  )	r   r  r   r   r  r  r   r  r  s	           r   r  r"  4  s1    @ w|  
 	
r   c                0   > [        [        TU ]	  US95      $ )a  
Return item and drops from series. Raise KeyError if not found.

Parameters
----------
item : label
    Index of the element that needs to be removed.

Returns
-------
scalar
    Value that is popped from series.

See Also
--------
Series.drop: Drop specified values from Series.
Series.drop_duplicates: Return Series with duplicate values removed.

Examples
--------
>>> ser = pd.Series([1, 2, 3])

>>> ser.pop(0)
1

>>> ser
1    2
2    3
dtype: int64
)item)r-   r  r  )r   r(  r  s     r   r  
Series.pop  s    > ((>??r   c                8    [        X5      R                  UUUUS9$ )a  
Print a concise summary of a Series.

This method prints information about a Series including
the index dtype, non-NA values and memory usage.

Parameters
----------
verbose : bool, optional
    Whether to print the full summary. By default, the setting in
    ``pandas.options.display.max_info_columns`` is followed.
buf : writable buffer, defaults to sys.stdout
    Where to send the output. By default, the output is printed to
    sys.stdout. Pass a writable buffer if you need to further process
    the output.
max_cols : int, optional
    Unused, exists only for compatibility with DataFrame.info.
memory_usage : bool, str, optional
    Specifies whether total memory usage of the Series
    elements (including the index) should be displayed. By default,
    this follows the ``pandas.options.display.memory_usage`` setting.

    True always show memory usage. False never shows memory usage.
    A value of 'deep' is equivalent to "True with deep introspection".
    Memory usage is shown in human-readable units (base-2
    representation). Without deep introspection a memory estimation is
    made based in column dtype and number of rows assuming values
    consume the same memory amount for corresponding dtypes. With deep
    memory introspection, a real memory usage calculation is performed
    at the cost of computational resources. See the
    :ref:`Frequently Asked Questions <df-memory-usage>` for more
    details.
show_counts : bool, optional
    Whether to show the non-null counts. By default, this is shown
    only if the DataFrame is smaller than
    ``pandas.options.display.max_info_rows`` and
    ``pandas.options.display.max_info_columns``. A value of True always
    shows the counts, and False never shows the counts.

Returns
-------
None
    This method prints a summary of a Series and returns None.

See Also
--------
Series.describe: Generate descriptive statistics of Series.
Series.memory_usage: Memory usage of Series.

Examples
--------
>>> int_values = [1, 2, 3, 4, 5]
>>> text_values = ["alpha", "beta", "gamma", "delta", "epsilon"]
>>> s = pd.Series(text_values, index=int_values)
>>> s.info()
<class 'pandas.Series'>
Index: 5 entries, 1 to 5
Series name: None
Non-Null Count  Dtype
--------------  -----
5 non-null      str
dtypes: str(1)
memory usage: 106.0 bytes

Prints a summary excluding information about its values:

>>> s.info(verbose=False)
<class 'pandas.Series'>
Index: 5 entries, 1 to 5
dtypes: str(1)
memory usage: 106.0 bytes

Pipe output of Series.info to buffer instead of sys.stdout, get
buffer content and writes to a text file:

>>> import io
>>> buffer = io.StringIO()
>>> s.info(buf=buffer)
>>> s = buffer.getvalue()
>>> with open("df_info.txt", "w", encoding="utf-8") as f:  # doctest: +SKIP
...     f.write(s)
260

The `memory_usage` parameter allows deep introspection mode, specially
useful for big Series and fine-tune memory optimization:

>>> random_strings_array = np.random.choice(["a", "b", "c"], 10**6)
>>> s = pd.Series(np.random.choice(["a", "b", "c"], 10**6))
>>> s.info()
<class 'pandas.Series'>
RangeIndex: 1000000 entries, 0 to 999999
Series name: None
Non-Null Count    Dtype
--------------    -----
1000000 non-null  str
dtypes: str(1)
memory usage: 8.6 MB

>>> s.info(memory_usage="deep")
<class 'pandas.Series'>
RangeIndex: 1000000 entries, 0 to 999999
Series name: None
Non-Null Count    Dtype
--------------    -----
1000000 non-null  str
dtypes: str(1)
memory usage: 8.6 MB
)r  max_colsverboseshow_counts)rd   render)r   r,  r  r+  memory_usager-  s         r   infoSeries.info  s.    h $-44#	 5 
 	
r   c                h    U R                  US9nU(       a  X0R                  R                  US9-  nU$ )a4  
Return the memory usage of the Series.

The memory usage can optionally include the contribution of
the index and of elements of `object` dtype.

Parameters
----------
index : bool, default True
    Specifies whether to include the memory usage of the Series index.
deep : bool, default False
    If True, introspect the data deeply by interrogating
    `object` dtypes for system-level memory consumption, and include
    it in the returned value.

Returns
-------
int
    Bytes of memory consumed.

See Also
--------
numpy.ndarray.nbytes : Total bytes consumed by the elements of the
    array.
DataFrame.memory_usage : Bytes consumed by a DataFrame.

Examples
--------
>>> s = pd.Series(range(3))
>>> s.memory_usage()
156

Not including the index gives the size of the rest of the data, which
is necessarily smaller:

>>> s.memory_usage(index=False)
24

The memory footprint of `object` values is ignored by default:

>>> s = pd.Series(["a", "b"])
>>> s.values
<ArrowStringArray>
['a', 'b']
Length: 2, dtype: str
>>> s.memory_usage()
150
>>> s.memory_usage(deep=True)
150
r   )_memory_usager   r/  )r   r   r   r  s       r   r/  Series.memory_usage:  s:    f D)((d(33Ar   c                    [         R                  " U R                  U5      nU R                  X R                  SS9R                  U SS9$ )a  
Whether elements in Series are contained in `values`.

Return a boolean Series showing whether each element in the Series
matches an element in the passed sequence of `values` exactly.

Parameters
----------
values : set or list-like
    The sequence of values to test. Passing in a single string will
    raise a ``TypeError``. Instead, turn a single string into a
    list of one element.

Returns
-------
Series
    Series of booleans indicating if each element is in values.

Raises
------
TypeError
  * If `values` is a string

See Also
--------
DataFrame.isin : Equivalent method on DataFrame.

Examples
--------
>>> s = pd.Series(
...     ["llama", "cow", "llama", "beetle", "llama", "hippo"], name="animal"
... )
>>> s.isin(["cow", "llama"])
0     True
1     True
2     True
3    False
4     True
5    False
Name: animal, dtype: bool

To invert the boolean values, use the ``~`` operator:

>>> ~s.isin(["cow", "llama"])
0    False
1    False
2    False
3     True
4    False
5     True
Name: animal, dtype: bool

Passing a single string as ``s.isin('llama')`` will raise an error. Use
a list of one element instead:

>>> s.isin(["llama"])
0     True
1    False
2     True
3    False
4     True
5    False
Name: animal, dtype: bool

Strings and integers are distinct and are therefore not comparable:

>>> pd.Series([1]).isin(["1"])
0    False
dtype: bool
>>> pd.Series([1.1]).isin(["1.1"])
0    False
dtype: bool
FrF  isinr  )r?   r6  r  r   r   r)  )r   r   r>  s      r   r6  Series.isinr  sK    T v6  zz FSS T 
 	
r   c                    US:X  a  X:  nX:*  nXE-  $ US:X  a  X:  nX:  nXE-  $ US:X  a  X:  nX:*  nXE-  $ US:X  a  X:  nX:  nXE-  $ [        S5      e)a6  
Return boolean Series equivalent to left <= series <= right.

This function returns a boolean vector containing `True` wherever the
corresponding Series element is between the boundary values `left` and
`right`. NA values are treated as `False`.

Parameters
----------
left : scalar or list-like
    Left boundary.
right : scalar or list-like
    Right boundary.
inclusive : {"both", "neither", "left", "right"}
    Include boundaries. Whether to set each bound as closed or open.

Returns
-------
Series
    Series representing whether each element is between left and
    right (inclusive).

See Also
--------
Series.gt : Greater than of series and other.
Series.lt : Less than of series and other.

Notes
-----
This function is equivalent to ``(left <= ser) & (ser <= right)``

Examples
--------
>>> s = pd.Series([2, 0, 4, 8, np.nan])

Boundary values are included by default:

>>> s.between(1, 4)
0     True
1    False
2     True
3    False
4    False
dtype: bool

With `inclusive` set to ``"neither"`` boundary values are excluded:

>>> s.between(1, 4, inclusive="neither")
0     True
1    False
2    False
3    False
4    False
dtype: bool

`left` and `right` can be any scalar value:

>>> s = pd.Series(["Alice", "Bob", "Carol", "Eve"])
>>> s.between("Anna", "Daniel")
0    False
1     True
2     True
3    False
dtype: bool
bothrc  rd  neitherzJInclusive has to be either string of 'both','left', 'right', or 'neither'.)r   )r   rc  rd  	inclusivelmaskrmasks         r   betweenSeries.between  s    N LEME  } & LELE } '!KEME } )#KELE } 1 r   c           	        [        U[        5      (       d  [        S[        U5       35      eU(       d  [	        S5      e[        U5       H_  u  p#[        U[        5      (       d  [        SU S[        U5       S35      e[        U5      S:w  d  MF  [	        SU S[        U5       S35      e   U VVs/ s H1  u  pE[        R                  " X@5      [        R                  " XP5      4PM3     nnnU R                  SS	9n[        US
S06u  px/ UQUP V	s/ s H  n	[        U	5      S   PM     n
n	[        [        U
5      5      S:  a  [        U
5      n/ n[        XxSS9 Hk  u  pE[        U5      (       a  [!        U[        U5      US9nO0[        U["        5      (       a  UR%                  U5      nO	['        X[S9nUR)                  U5        Mm     UnUR%                  U5      n[+        [        U5      S-
  SS5      n[        U[-        U5      [-        U5      SS9 H  u  pn UR/                  XESSSS9nM     U$ s  snnf s  sn	f ! [0         a  n[	        SU SU S35      UeSnAff = f)a  
Replace values where the conditions are True.

.. versionadded:: 2.2.0

Parameters
----------
caselist : A list of tuples of conditions and expected replacements
    Takes the form:  ``(condition0, replacement0)``,
    ``(condition1, replacement1)``, ... .
    ``condition`` should be a 1-D boolean array-like object
    or a callable. If ``condition`` is a callable,
    it is computed on the Series
    and should return a boolean Series or array.
    The callable must not change the input Series
    (though pandas doesn`t check it). ``replacement`` should be a
    1-D array-like object, a scalar or a callable.
    If ``replacement`` is a callable, it is computed on the Series
    and should return a scalar or Series. The callable
    must not change the input Series
    (though pandas doesn`t check it).

Returns
-------
Series
    A new Series with values replaced based on the provided conditions.

See Also
--------
Series.mask : Replace values where the condition is True.

Examples
--------
>>> c = pd.Series([6, 7, 8, 9], name="c")
>>> a = pd.Series([0, 0, 1, 2])
>>> b = pd.Series([0, 3, 4, 5])

>>> c.case_when(
...     caselist=[
...         (a.gt(0), a),  # condition, replacement
...         (b.gt(0), b),
...     ]
... )
0    6
1    3
2    1
3    2
Name: c, dtype: int64
z4The caselist argument should be a list; instead got zIprovide at least one boolean condition, with a corresponding replacement.z	Argument z must be a tuple; instead got .r   zE must have length 2; a condition and replacement; instead got length Fr   r  Tr   rS  r  )r  r  r   r   rv  N)rJ  r   r   r  zFailed to apply conditionz and replacement)r   r   r4  r   r   r  r   r   r   r0  r   r  r+   setr*   r4   r)   r9   r   pd_arrayappendr  reversedrz  rb  )r   caselistnumentry	conditionreplacementdefault
conditionsreplacementsr  common_dtypescommon_dtypeupdated_replacementscounterpositionerrors                   r   	case_whenSeries.case_when  s   t (D))FtH~FVW  4 
 $H-JCeU++u$B4;-qQ  5zQ u %**-e*Q8  .  +3

 +3&	 %%i6%%k8 +3 	 
 )))'#&#>#> 
=U|=UW=UV=Uc)#.q1=UVs=!"Q&+M:L#% *-jt*T&	[))"D)#i.#K  Y77"-"4"4\"BK"*;"KK$++K8 +U 0Lnn\2GJ!+R403Xj)8L+A$1
,H!,,q%t ' 	1
 M
 W2   /z9I(STUs$   28H2H8H==
IIIc                .    [         R                  " U 5      $ )a  
Detect missing values.

Return a boolean same-sized Series indicating if the values are NA.
NA values, such as None or :attr:`numpy.NaN`, get mapped to True
values.
Everything else gets mapped to False values. Characters such as empty
strings ``''`` or :attr:`numpy.inf` are not considered NA values.

Returns
-------
Series
    Mask of bool values for each element in Series that
    indicates whether an element is an NA value.

See Also
--------
DataFrame.isna : Detect missing values.
DataFrame.isnull : Alias of isna.
Series.notna : Boolean inverse of isna.
DataFrame.notna : Boolean inverse of isna.
Series.notnull : Alias of notna.
DataFrame.notnull : Alias of notna.
Series.dropna : Omit axes labels with missing values.
DataFrame.dropna : Omit axes labels with missing values.
isna : Top-level isna.

Examples
--------
Show which entries in a Series are NA.

>>> ser = pd.Series([5, 6, np.nan])
>>> ser
0    5.0
1    6.0
2    NaN
dtype: float64
>>> ser.isna()
0    False
1    False
2     True
dtype: bool
)rO   r;   r   s    r   r;   Series.isna  s    X ||D!!r   r   )r   c                    > [         TU ]  5       $ )z,
Series.isnull is an alias for Series.isna.
)r  isnullr  s    r   rY  Series.isnull  s    
 w~r   c                    > [         TU ]  5       $ )a  
Detect existing (non-missing) values.

Return a boolean same-sized Series indicating if the values are not NA.
Non-missing values get mapped to True. Characters such as empty
strings ``''`` or :attr:`numpy.inf` are not considered NA values.
NA values, such as None or :attr:`numpy.NaN`, get mapped to False
values.

Returns
-------
Series
    Mask of bool values for each element in Series that
    indicates whether an element is not an NA value.

See Also
--------
Series.isna : Detect missing values.
DataFrame.isna : Detect missing values.
Series.isnull : Alias of isna.
DataFrame.isnull : Alias of isna.
DataFrame.notna : Boolean inverse of isna.
DataFrame.notnull : Alias of notna.
Series.dropna : Omit axes labels with missing values.
DataFrame.dropna : Omit axes labels with missing values.
notna : Top-level notna.

Examples
--------
Show which entries in a Series are not NA.

>>> ser = pd.Series([5, 6, np.nan])
>>> ser
0    5.0
1    6.0
2    NaN
dtype: float64
>>> ser.notna()
0     True
1     True
2    False
dtype: bool
)r  r=   r  s    r   r=   Series.notna  s    X w}r   c                    > [         TU ]  5       $ )z.
Series.notnull is an alias for Series.notna.
)r  notnullr  s    r   r^  Series.notnull  s    
 w  r   )r   r   howr  c                   g r   r  r   r   r   r`  r  s        r   r  Series.dropna  s     r   )r   r`  r  c                   g r   r  rb  s        r   r  rc    s     r   c               F   [        US5      n[        US5      nU R                  U=(       d    S5        U R                  (       a  [        U 5      nOU(       d  U R	                  SS9nOU nU(       a  [        [        U5      5      Ul        U(       a  U R                  U5      $ U$ )ut  
Return a new Series with missing values removed.

See the :ref:`User Guide <missing_data>` for more on which values are
considered missing, and how to work with missing data.

Parameters
----------
axis : {0 or 'index'}
    Unused. Parameter needed for compatibility with DataFrame.
inplace : bool, default False
    If True, do operation inplace and return None.
how : str, optional
    Not in use. Kept for compatibility.
ignore_index : bool, default ``False``
    If ``True``, the resulting axis will be labeled 0, 1, …, n - 1.

    .. versionadded:: 2.0.0

Returns
-------
Series or None
    Series with NA entries dropped from it or None if ``inplace=True``.

See Also
--------
Series.isna: Indicate missing values.
Series.notna : Indicate existing (non-missing) values.
Series.fillna : Replace missing values.
DataFrame.dropna : Drop rows or columns which contain NA values.
Index.dropna : Drop missing indices.

Examples
--------
>>> ser = pd.Series([1.0, 2.0, np.nan])
>>> ser
0    1.0
1    2.0
2    NaN
dtype: float64

Drop NA values from a Series.

>>> ser.dropna()
0    1.0
1    2.0
dtype: float64

Empty strings are not considered NA values. ``None`` is considered an
NA value.

>>> ser = pd.Series([np.nan, 2, pd.NaT, "", None, "I stay"])
>>> ser
0       NaN
1         2
2       NaT
3
4      None
5    I stay
dtype: object
>>> ser.dropna()
1         2
3
5    I stay
dtype: object
r   r  r   Fr   )	r%   r  r   r>   r   rW   r   r   r  )r   r   r   r`  r  r>  s         r   r  rc    s    T &gy9*<Hdia((.FYYEY*FF(V5FL''//Mr   startc                &   U R                  U5        [        U R                  [        5      (       d+  [	        S[        U R                  5      R                   35      eU R                  SS9nU R                  R                  XS9n[        USU5        U$ )a  
Cast to DatetimeIndex of Timestamps, at *beginning* of period.

This can be changed to the *end* of the period, by specifying `how="e"`.

Parameters
----------
freq : str, default frequency of PeriodIndex
    Desired frequency.
how : {'s', 'e', 'start', 'end'}
    Convention for converting period to timestamp; start of period
    vs. end.
copy : bool, default False
    This keyword is now ignored; changing its value will have no
    impact on the method.

    .. deprecated:: 3.0.0

        This keyword is ignored and will be removed in pandas 4.0. Since
        pandas 3.0, this method always returns a new object using a lazy
        copy mechanism that defers copies until necessary
        (Copy-on-Write). See the `user guide on Copy-on-Write
        <https://pandas.pydata.org/docs/dev/user_guide/copy_on_write.html>`__
        for more details.

Returns
-------
Series with DatetimeIndex
    Series with the PeriodIndex cast to DatetimeIndex.

See Also
--------
Series.to_period: Inverse method to cast DatetimeIndex to PeriodIndex.
DataFrame.to_timestamp: Equivalent method for DataFrame.

Examples
--------
>>> idx = pd.PeriodIndex(["2023", "2024", "2025"], freq="Y")
>>> s1 = pd.Series([1, 2, 3], index=idx)
>>> s1
2023    1
2024    2
2025    3
Freq: Y-DEC, dtype: int64

The resulting frequency of the Timestamps is `YearBegin`

>>> s1 = s1.to_timestamp()
>>> s1
2023-01-01    1
2024-01-01    2
2025-01-01    3
Freq: YS-JAN, dtype: int64

Using `freq` which is the offset that the Timestamps will have

>>> s2 = pd.Series([1, 2, 3], index=idx)
>>> s2 = s2.to_timestamp(freq="M")
>>> s2
2023-01-31    1
2024-01-31    2
2025-01-31    3
Freq: YE-JAN, dtype: int64
unsupported Type Fr   )freqr`  r   )
r  r   r   rV   r4  r   r   r   to_timestampsetattr)r   ri  r`  r   new_objrK  s         r   rj  Series.to_timestampw  s    L 	$$T*$**k22/TZZ0@0I0I/JKLL)))'JJ+++?	),r   c                &   U R                  U5        [        U R                  [        5      (       d+  [	        S[        U R                  5      R                   35      eU R                  SS9nU R                  R                  US9n[        USU5        U$ )a}  
Convert Series from DatetimeIndex to PeriodIndex.

Parameters
----------
freq : str, default None
    Frequency associated with the PeriodIndex.
copy : bool, default False
    This keyword is now ignored; changing its value will have no
    impact on the method.

    .. deprecated:: 3.0.0

        This keyword is ignored and will be removed in pandas 4.0. Since
        pandas 3.0, this method always returns a new object using a lazy
        copy mechanism that defers copies until necessary
        (Copy-on-Write). See the `user guide on Copy-on-Write
        <https://pandas.pydata.org/docs/dev/user_guide/copy_on_write.html>`__
        for more details.

Returns
-------
Series
    Series with index converted to PeriodIndex.

See Also
--------
DataFrame.to_period: Equivalent method for DataFrame.
Series.dt.to_period: Convert DateTime column values.

Examples
--------
>>> idx = pd.DatetimeIndex(["2023", "2024", "2025"])
>>> s = pd.Series([1, 2, 3], index=idx)
>>> s = s.to_period()
>>> s
2023    1
2024    2
2025    3
Freq: Y-DEC, dtype: int64

Viewing the index

>>> s.index
PeriodIndex(['2023', '2024', '2025'], dtype='period[Y-DEC]')
rh  Fr   )ri  r   )
r  r   r   rS   r4  r   r   r   	to_periodrk  )r   ri  r   rl  rK  s        r   ro  Series.to_period  s    f 	$$T*$**m44/TZZ0@0I0I/JKLL)))'JJ((d(3	),r   z!list[Literal['index', 'columns']]_AXIS_ORDERSz
Literal[0]_info_axis_numberzLiteral['index']_info_axis_nameaG  
        The index (axis labels) of the Series.

        The index of a Series is used to label and identify each element of the
        underlying data. The index can be thought of as an immutable ordered set
        (technically a multi-set, as it may contain duplicate labels), and is
        used to index and align data in pandas.

        Returns
        -------
        Index
            The index labels of the Series.

        See Also
        --------
        Series.reindex : Conform Series to new index.
        Index : The base pandas index type.

        Notes
        -----
        For more information on pandas indexing, see the `indexing user guide
        <https://pandas.pydata.org/docs/user_guide/indexing.html>`__.

        Examples
        --------
        To create a Series with a custom index and view the index labels:

        >>> cities = ['Kolkata', 'Chicago', 'Toronto', 'Lisbon']
        >>> populations = [14.85, 2.71, 2.93, 0.51]
        >>> city_series = pd.Series(populations, index=cities)
        >>> city_series.index
        Index(['Kolkata', 'Chicago', 'Toronto', 'Lisbon'], dtype='object')

        To change the index labels of an existing Series:

        >>> city_series.index = ['KOL', 'CHI', 'TOR', 'LIS']
        >>> city_series.index
        Index(['KOL', 'CHI', 'TOR', 'LIS'], dtype='object')
        )r   r!   r   r   plotr   structr   c                   [         R                  " X5      n[        U[        5      (       a!  U R	                  U5      (       d  [        S5      eU R                  n[        USSS9n[         R                  " XEU5      nU R                  XcUS9$ )Nz3Can only compare identically-labeled Series objectsTextract_numpyextract_ranger   rJ  )
rC   r  r   r   _indexed_samer   r  rM   comparison_op_construct_resultr   rJ  r  res_namelvaluesrvaluesr  s          r   _cmp_methodSeries._cmp_methodF  sz    ))$6eV$$T-?-?-F-FRSS,,TN&&w<
%%ju%MMr   c                    [         R                  " X5      nU R                  USS9u  pU R                  n[	        USSS9n[         R
                  " XEU5      nU R                  XcUS9$ )NT)align_asobjectrw  rz  )rC   r  _align_for_opr  rM   
logical_opr}  r~  s          r   _logical_methodSeries._logical_methodS  sf    ))$6((t(D,,TN^^Gb9
%%ju%MMr   c                h    U R                  U5      u  p[        R                  R                  XU5      $ r   )r  r@   ru  _arith_method)r   rJ  r  s      r   r  Series._arith_method]  s-    ((/!!//R@@r   c                   U n[        U[        5      (       a  UR                  R                  UR                  5      (       d  U(       as  UR                  [
        [        R                  4;  d$  UR                  [
        [        R                  4;  a  O*UR                  [
        5      nUR                  [
        5      nUR                  U5      u  p1X14$ )zalign lhs and rhs Series)
r   r   r   r   r   r   r   bool_r   rD  )r   rd  r  rc  s       r   r  Series._align_for_opa  s    
 eV$$::$$U[[11!zz&"(();;u{{S @   ${{62 %V 4"jj/{r   c                   U nU R                   R                  UR                   5      (       d  U R                  XSS9u  pQ[        R                  " UR
                  UR
                  U5      u  pg[        R                  " SS9   U" Xg5      nSSS5        [        R                  " X5      n	UR                  WX5      n
[        [        U
5      $ ! , (       d  f       NF= f)a  
Perform generic binary operation with optional fill value.

Parameters
----------
other : Series
func : binary operator
fill_value : float or object
    Value to substitute for NA/null values. If both Series are NA in a
    location, the result will be NA regardless of the passed fill value.
level : int or level name, default None
    Broadcast across a level, matching Index values on the
    passed MultiIndex level.

Returns
-------
Series
outer)r  r=  r  r  N)r   r   rD  rC   
fill_binopr  r   r  r  r}  r   r   )r   rJ  r  r  r  rK  	this_vals
other_valsr>  r   r+  s              r   _binopSeries._binop{  s    & zz  --**Ug*FKD #t||U]]J W	[[X&)0F ' %%d2$$VT9FC   '&s   	C


Cc                ~   [        U[        5      (       aW  U R                  US   X#S9nU R                  US   X#S9n[        U[        5      (       d   e[        U[        5      (       d   eXE4$ [	        USS5      nU R                  XR                  USS9nUR                  U 5      nUR                  U5      nX'l        U$ )a  
Construct an appropriately-labelled Series from the result of an op.

Parameters
----------
result : ndarray or ExtensionArray
name : Label
other : Series, DataFrame or array-like

Returns
-------
Series
    In the case of __divmod__ or __rdivmod__, a 2-tuple of Series.
r   rz  rS  r   NF)r   r   r   )	r   r   r}  r   getattrr   r   r)  r   )r   r>  r   rJ  res1res2r   r+  s           r   r}  Series._construct_result  s    ( fe$$ ))&)$)LD))&)$)LD dF++++dF++++< .jjERt$u% 
r   r  r  r   c                  Ub  U R                  U5        [        R                  " X5      n[        U[        5      (       a  U R                  XX4S9$ [        U[        R                  [        [        [        45      (       aU  [        U5      [        U 5      :w  a  [        S5      eU R                  XR                  SS9nU R                  XX4S9nXgl        U$ [        U[         5      (       aD  [#        SUR$                  R'                  S5       SUR$                  R'                  S5       S35      eUb)  [)        U5      (       a  U" X5      $ U R+                  U5      n U" X5      $ )	N)r  r  zLengths must be equalF)r   Series.r  z. does not support a DataFrame `other`. Use df.z(ser) instead.)r  rC   r  r   r   r  r   r   r   r   rG   r   r   r   r   r   r8   r4  r   stripr;   fillna)r   rJ  r  r  r  r   r  r>  s           r   _flex_methodSeries._flex_method  s8   !!$'))$6eV$$;;u;MM

D%HII5zSY& !899%%eZZe%DE[[%[OF#LM|,,"++++C01 2##%;;#4#4S#9":.J 
 %;;d//{{:.d?"r   c                B    U R                  U[        R                  X#US9$ )aj  
Return Equal to of series and other, element-wise (binary operator `eq`).

Equivalent to ``series == other``, but with support to substitute a fill_value
for missing data in either one of the inputs.

Parameters
----------
other : object
    When a Series is provided, will align on indexes. For all other types,
    will behave the same as ``==`` but with possibly different results due
    to the other arguments.
level : int or name
    Broadcast across a level, matching Index values on the
    passed MultiIndex level.
fill_value : None or float value, default None (NaN)
    Fill existing missing (NaN) values, and any new element needed for
    successful Series alignment, with this value before computation.
    If data in both corresponding Series locations is missing
    the result of filling (at that location) will be missing.
axis : {0 or 'index'}
    Unused. Parameter needed for compatibility with DataFrame.

Returns
-------
Series
    The result of the operation.

See Also
--------
Series.ge : Return elementwise Greater than or equal to of series and other.
Series.le : Return elementwise Less than or equal to of series and other.
Series.gt : Return elementwise Greater than of series and other.
Series.lt : Return elementwise Less than of series and other.

Examples
--------
>>> a = pd.Series([1, 1, 1, np.nan], index=["a", "b", "c", "d"])
>>> a
a    1.0
b    1.0
c    1.0
d    NaN
dtype: float64
>>> b = pd.Series([1, np.nan, 1, np.nan], index=["a", "b", "d", "e"])
>>> b
a    1.0
b    NaN
d    1.0
e    NaN
dtype: float64
>>> a.eq(b, fill_value=0)
a     True
b    False
c    False
d    False
e    False
dtype: bool
r  )r  operatoreqr   rJ  r  r  r   s        r   r  	Series.eq  s*    D   8;;e ! 
 	
r   nec                B    U R                  U[        R                  X#US9$ Nr  )r  r  r  r  s        r   r  	Series.ne+  '      8;;e ! 
 	
r   c                B    U R                  U[        R                  X#US9$ )a  
Return Less than or equal to of series and other,         element-wise (binary operator `le`).

Equivalent to ``series <= other``, but with support to substitute a
fill_value for missing data in either one of the inputs.

Parameters
----------
other : object
    When a Series is provided, will align on indexes. For all other types,
    will behave the same as ``==`` but with possibly different results due
    to the other arguments.
level : int or name
    Broadcast across a level, matching Index values on the
    passed MultiIndex level.
fill_value : None or float value, default None (NaN)
    Fill existing missing (NaN) values, and any new element needed for
    successful Series alignment, with this value before computation.
    If data in both corresponding Series locations is missing
    the result of filling (at that location) will be missing.
axis : {0 or 'index'}
    Unused. Parameter needed for compatibility with DataFrame.

Returns
-------
Series
    The result of the operation.

See Also
--------
Series.ge : Return elementwise Greater than or equal to of series and other.
Series.lt : Return elementwise Less than of series and other.
Series.gt : Return elementwise Greater than of series and other.
Series.eq : Return elementwise equal to of series and other.

Examples
--------
>>> a = pd.Series([1, 1, 1, np.nan, 1], index=['a', 'b', 'c', 'd', 'e'])
>>> a
a    1.0
b    1.0
c    1.0
d    NaN
e    1.0
dtype: float64
>>> b = pd.Series([0, 1, 2, np.nan, 1], index=['a', 'b', 'c', 'd', 'f'])
>>> b
a    0.0
b    1.0
c    2.0
d    NaN
f    1.0
dtype: float64
>>> a.le(b, fill_value=0)
a    False
b     True
c     True
d    False
e    False
f     True
dtype: bool
r  )r  r  ler  s        r   r  	Series.le1  s*    @   8;;e ! 
 	
r   ltc                B    U R                  U[        R                  X#US9$ r  )r  r  r  r  s        r   r  	Series.ltu  r  r   c                B    U R                  U[        R                  X#US9$ )a  
Return Greater than or equal to of series and other,         element-wise (binary operator `ge`).

Equivalent to ``series >= other``, but with support to substitute a
fill_value for missing data in either one of the inputs.

Parameters
----------
other : object
    When a Series is provided, will align on indexes. For all other types,
    will behave the same as ``==`` but with possibly different results due
    to the other arguments.
level : int or name
    Broadcast across a level, matching Index values on the
    passed MultiIndex level.
fill_value : None or float value, default None (NaN)
    Fill existing missing (NaN) values, and any new element needed for
    successful Series alignment, with this value before computation.
    If data in both corresponding Series locations is missing
    the result of filling (at that location) will be missing.
axis : {0 or 'index'}
    Unused. Parameter needed for compatibility with DataFrame.

Returns
-------
Series
    The result of the operation.

See Also
--------
Series.gt : Greater than comparison, element-wise.
Series.le : Less than or equal to comparison, element-wise.
Series.lt : Less than comparison, element-wise.
Series.eq : Equal to comparison, element-wise.
Series.ne : Not equal to comparison, element-wise.

Examples
--------
>>> a = pd.Series([1, 1, 1, np.nan, 1], index=["a", "b", "c", "d", "e"])
>>> a
a    1.0
b    1.0
c    1.0
d    NaN
e    1.0
dtype: float64
>>> b = pd.Series([0, 1, 2, np.nan, 1], index=["a", "b", "c", "d", "f"])
>>> b
a    0.0
b    1.0
c    2.0
d    NaN
f    1.0
dtype: float64
>>> a.ge(b, fill_value=0)
a     True
b     True
c    False
d    False
e     True
f    False
dtype: bool
r  )r  r  ger  s        r   r  	Series.ge{  s*    B   8;;e ! 
 	
r   gtc                B    U R                  U[        R                  X#US9$ r  )r  r  r  r  s        r   r  	Series.gt  r  r   c                B    U R                  U[        R                  X#US9$ )a  
Return Addition of series and other, element-wise (binary operator `add`).

Equivalent to ``series + other``, but with support to substitute a fill_value
for missing data in either one of the inputs.

Parameters
----------
other : Series or scalar value
    With which to compute the addition.
level : int or name
    Broadcast across a level, matching Index values on the
    passed MultiIndex level.
fill_value : None or float value, default None (NaN)
    Fill existing missing (NaN) values, and any new element needed for
    successful Series alignment, with this value before computation.
    If data in both corresponding Series locations is missing
    the result of filling (at that location) will be missing.
axis : {0 or 'index'}
    Unused. Parameter needed for compatibility with DataFrame.

Returns
-------
Series
    The result of the operation.

See Also
--------
Series.radd : Reverse of the Addition operator, see
    `Python documentation
    <https://docs.python.org/3/reference/datamodel.html#emulating-numeric-types>`_
    for more details.

Examples
--------
>>> a = pd.Series([1, 1, 1, np.nan], index=["a", "b", "c", "d"])
>>> a
a    1.0
b    1.0
c    1.0
d    NaN
dtype: float64
>>> b = pd.Series([1, np.nan, 1, np.nan], index=["a", "b", "d", "e"])
>>> b
a    1.0
b    NaN
d    1.0
e    NaN
dtype: float64
>>> a.add(b, fill_value=0)
a    2.0
b    1.0
c    1.0
d    1.0
e    NaN
dtype: float64
r  )r  r  addr  s        r   r  
Series.add  *    t   8<<u$ ! 
 	
r   raddc                B    U R                  U[        R                  X#US9$ r  )r  rD   r  r  s        r   r  Series.radd  '      9>>D ! 
 	
r   subc                B    U R                  U[        R                  X#US9$ r  )r  r  r  r  s        r   r  
Series.sub
  '      8<<u$ ! 
 	
r   rsubc                B    U R                  U[        R                  X#US9$ r  )r  rD   r  r  s        r   r  Series.rsub  r  r   c                B    U R                  U[        R                  X#US9$ )a  
Return Multiplication of series and other, element-wise (binary operator `mul`).

Equivalent to ``series * other``, but with support to substitute
a fill_value for missing data in either one of the inputs.

Parameters
----------
other : Series or scalar value
    With which to compute the multiplication.
level : int or name
    Broadcast across a level, matching Index values on the
    passed MultiIndex level.
fill_value : None or float value, default None (NaN)
    Fill existing missing (NaN) values, and any new element needed for
    successful Series alignment, with this value before computation.
    If data in both corresponding Series locations is missing
    the result of filling (at that location) will be missing.
axis : {0 or 'index'}
    Unused. Parameter needed for compatibility with DataFrame.

Returns
-------
Series
    The result of the operation.

See Also
--------
Series.rmul : Reverse of the Multiplication operator, see
    `Python documentation
    <https://docs.python.org/3/reference/datamodel.html#emulating-numeric-types>`_
    for more details.

Examples
--------
>>> a = pd.Series([1, 1, 1, np.nan], index=["a", "b", "c", "d"])
>>> a
a    1.0
b    1.0
c    1.0
d    NaN
dtype: float64
>>> b = pd.Series([1, np.nan, 1, np.nan], index=["a", "b", "d", "e"])
>>> b
a    1.0
b    NaN
d    1.0
e    NaN
dtype: float64
>>> a.multiply(b, fill_value=0)
a    1.0
b    0.0
c    0.0
d    0.0
e    NaN
dtype: float64
>>> a.mul(5, fill_value=0)
a    5.0
b    5.0
c    5.0
d    0.0
dtype: float64
r  )r  r  mulr  s        r   r  
Series.mul  s*    L   8<<u$ ! 
 	
r   rmulc                B    U R                  U[        R                  X#US9$ r  )r  rD   r  r  s        r   r  Series.rmuld  r  r   c                B    U R                  U[        R                  X#US9$ )a  
Return Floating division of series and other,         element-wise (binary operator `truediv`).

Equivalent to ``series / other``, but with support to substitute a
fill_value for missing data in either one of the inputs.

Parameters
----------
other : Series or scalar value
    Series with which to compute division.
level : int or name
    Broadcast across a level, matching Index values on the
    passed MultiIndex level.
fill_value : None or float value, default None (NaN)
    Fill existing missing (NaN) values, and any new element needed for
    successful Series alignment, with this value before computation.
    If data in both corresponding Series locations is missing
    the result of filling (at that location) will be missing.
axis : {0 or 'index'}
    Unused. Parameter needed for compatibility with DataFrame.

Returns
-------
Series
    The result of the operation.

See Also
--------
Series.rtruediv : Reverse of the Floating division operator, see
    `Python documentation
    <https://docs.python.org/3/reference/datamodel.html#emulating-numeric-types>`_
    for more details.

Examples
--------
>>> a = pd.Series([1, 1, 1, np.nan], index=["a", "b", "c", "d"])
>>> a
a    1.0
b    1.0
c    1.0
d    NaN
dtype: float64
>>> b = pd.Series([1, np.nan, 1, np.nan], index=["a", "b", "d", "e"])
>>> b
a    1.0
b    NaN
d    1.0
e    NaN
dtype: float64
>>> a.divide(b, fill_value=0)
a    1.0
b    inf
c    inf
d    0.0
e    NaN
dtype: float64
r  )r  r  truedivr  s        r   r  Series.truedivj  s,    v   8##5d ! 
 	
r   rtruedivc                B    U R                  U[        R                  X#US9$ r  )r  rD   r  r  s        r   r  Series.rtruediv  s*      9%%UPT ! 
 	
r   floordivc                B    U R                  U[        R                  X#US9$ r  )r  r  r  r  s        r   r  Series.floordiv  s)      8$$Et ! 
 	
r   	rfloordivc                B    U R                  U[        R                  X#US9$ r  )r  rD   r  r  s        r   r  Series.rfloordiv  s*      9&&eQU ! 
 	
r   c                B    U R                  U[        R                  X#US9$ )a  
Return Modulo of series and other, element-wise (binary operator `mod`).

Equivalent to ``series % other``, but with support to substitute a
fill_value for missing data in either one of the inputs.

Parameters
----------
other : Series or scalar value
    Series with which to compute modulo.
level : int or name
    Broadcast across a level, matching Index values on the
    passed MultiIndex level.
fill_value : None or float value, default None (NaN)
    Fill existing missing (NaN) values, and any new element needed for
    successful Series alignment, with this value before computation.
    If data in both corresponding Series locations is missing
    the result of filling (at that location) will be missing.
axis : {0 or 'index'}
    Unused. Parameter needed for compatibility with DataFrame.

Returns
-------
Series
    The result of the operation.

See Also
--------
Series.rmod : Reverse of the Modulo operator, see
    `Python documentation
    <https://docs.python.org/3/reference/datamodel.html#emulating-numeric-types>`_
    for more details.

Examples
--------
>>> a = pd.Series([1, 1, 1, np.nan], index=["a", "b", "c", "d"])
>>> a
a    1.0
b    1.0
c    1.0
d    NaN
dtype: float64
>>> b = pd.Series([1, np.nan, 1, np.nan], index=["a", "b", "d", "e"])
>>> b
a    1.0
b    NaN
d    1.0
e    NaN
dtype: float64
>>> a.mod(b, fill_value=0)
a    0.0
b    NaN
c    NaN
d    0.0
e    NaN
dtype: float64
r  )r  r  modr  s        r   r  
Series.mod  r  r   rmodc                B    U R                  U[        R                  X#US9$ r  )r  rD   r  r  s        r   r  Series.rmod  r  r   powc                B    U R                  U[        R                  X#US9$ r  )r  r  r  r  s        r   r  
Series.pow  r  r   rpowc                B    U R                  U[        R                  X#US9$ r  )r  rD   r  r  s        r   r  Series.rpow
  r  r   divmodc                .    U R                  U[        X#US9$ r  )r  r  r  s        r   r  Series.divmod  s#      6D ! 
 	
r   rdivmodc                B    U R                  U[        R                  X#US9$ r  )r  rD   r  r  s        r   r  Series.rdivmod  s)      9$$Et ! 
 	
r   )r   r  r5  filter_typec          	     H   U R                   nUb  U R                  U5        [        U[        5      (       a  UR                  " U4SU0UD6n	OKU(       a9  U R
                  R                  S;  a  Sn
US;   a  Sn
[        SU SU
 SU S	35      eU" U4SU0UD6n	[        U	5      n	U	$ )
z
Perform a reduction operation.

If we have an ndarray as a value, then simply perform the operation,
otherwise delegate to the object.
r  iufcbr5  )ry  r  	bool_onlyr  z does not allow =z with non-numeric dtypes.)	r  r  r   rG   _reducer   r`  r4  r-   )r   r  r   r   r  r5  r  kwdsdelegater>  kwd_names              r   r  Series._reduce  s    $ <<!!$'h//%%dB6BTBF 

w >)>)*HdV#3H:Q|n M/ /  8848F)&1r   )r   r  r  c          	         [         R                  " SUSS9  [        USSS9  U R                  [        R
                  SUUUSS9$ )	a
  
Return whether any element is True, potentially over an axis.

Returns False unless there is at least one element within a series or
along a Dataframe axis that is True or equivalent (e.g. non-zero or
non-empty).

Parameters
----------
axis : {0 or 'index', 1 or 'columns', None}, default 0
    Indicate which axis or axes should be reduced. For `Series` this parameter
    is unused and defaults to 0.

    * 0 / 'index' : reduce the index, return a Series whose index is the
      original column labels.
    * 1 / 'columns' : reduce the columns, return a Series whose index is the
      original index.
    * None : reduce all axes, return a scalar.

bool_only : bool, default False
    Include only boolean columns. Not implemented for Series.
skipna : bool, default True
    Exclude NA/null values. If the entire row/column is NA and skipna is
    True, then the result will be False, as for an empty row/column.
    If skipna is False, then NA are treated as True, because these are not
    equal to zero.
**kwargs : any, default None
    Additional keywords have no effect but might be accepted for
    compatibility with NumPy.

Returns
-------
Series or scalar
    If axis=None, then a scalar boolean is returned.
    Otherwise a Series is returned with index matching the index argument.

See Also
--------
numpy.any : Numpy version of this method.
Series.any : Return whether any element is True.
Series.all : Return whether all elements are True.
DataFrame.any : Return whether any element is True over requested axis.
DataFrame.all : Return whether all elements are True over requested axis.

Examples
--------
**Series**

For Series input, the output is a scalar indicating whether any element
is True.

>>> pd.Series([False, False]).any()
False
>>> pd.Series([True, False]).any()
True
>>> pd.Series([], dtype="float64").any()
False
>>> pd.Series([np.nan]).any()
False
>>> pd.Series([np.nan]).any(skipna=False)
True

**DataFrame**

Whether each column contains at least one True element (the default).

>>> df = pd.DataFrame({"A": [1, 2], "B": [0, 2], "C": [0, 0]})
>>> df
   A  B  C
0  1  0  0
1  2  2  0

>>> df.any()
A     True
B     True
C    False
dtype: bool

Aggregating over the columns.

>>> df = pd.DataFrame({"A": [True, False], "B": [1, 2]})
>>> df
       A  B
0   True  1
1  False  2

>>> df.any(axis="columns")
0    True
1    True
dtype: bool

>>> df = pd.DataFrame({"A": [True, False], "B": [1, 0]})
>>> df
       A  B
0   True  1
1  False  0

>>> df.any(axis="columns")
0    True
1    False
dtype: bool

Aggregating over the entire DataFrame with ``axis=None``.

>>> df.any(axis=None)
True

`any` for an empty DataFrame is an empty Series.

>>> pd.DataFrame([]).any()
Series([], dtype: bool)
r  ry  fnamer  Fnone_allowedr9  r   r   r5  r  r  )r  validate_logical_funcr%   r  rB   nananyr   r   r  r  r  s        r   ry  
Series.anyL  sO    p 	  V59FH5A||MM"  
 	
r   r  c           	         [         R                  " SUSS9  [        USSS9  U R                  [        R
                  SUUUSS9$ )	a  
Return whether all elements are True, potentially over an axis.

Returns True unless there at least one element within a series or
along a Dataframe axis that is False or equivalent (e.g. zero or
empty).

Parameters
----------
axis : {0 or 'index', 1 or 'columns', None}, default 0
    Indicate which axis or axes should be reduced. For `Series` this parameter
    is unused and defaults to 0.

    * 0 / 'index' : reduce the index, return a Series whose index is the
      original column labels.
    * 1 / 'columns' : reduce the columns, return a Series whose index is the
      original index.
    * None : reduce all axes, return a scalar.

bool_only : bool, default False
    Include only boolean columns. Not implemented for Series.
skipna : bool, default True
    Exclude NA/null values. If the entire row/column is NA and skipna is
    True, then the result will be True, as for an empty row/column.
    If skipna is False, then NA are treated as True, because these are not
    equal to zero.
**kwargs : any, default None
    Additional keywords have no effect but might be accepted for
    compatibility with NumPy.

Returns
-------
Series or scalar
    If axis=None, then a scalar boolean is returned.
    Otherwise a Series is returned with index matching the index argument.

See Also
--------
Series.all : Return True if all elements are True.
DataFrame.any : Return True if one (or more) elements are True.

Examples
--------
**Series**

>>> pd.Series([True, True]).all()
True
>>> pd.Series([True, False]).all()
False
>>> pd.Series([], dtype="float64").all()
True
>>> pd.Series([np.nan]).all()
True
>>> pd.Series([np.nan]).all(skipna=False)
True

**DataFrames**

Create a DataFrame from a dictionary.

>>> df = pd.DataFrame({"col1": [True, True], "col2": [True, False]})
>>> df
   col1   col2
0  True   True
1  True  False

Default behaviour checks if values in each column all return True.

>>> df.all()
col1     True
col2    False
dtype: bool

Specify ``axis='columns'`` to check if values in each row all return True.

>>> df.all(axis="columns")
0     True
1    False
dtype: bool

Or ``axis=None`` for whether every value is True.

>>> df.all(axis=None)
False
r  r  r  r  Fr  r9  r  )r  r  r%   r  rB   nanallr  s        r   r  
Series.all  sO    z 	  V59FH5A||MM"  
 	
r   minc                6    [         R                  " U 4XUS.UD6$ )a  
Return the minimum of the values over the requested axis.

If you want the *index* of the minimum, use ``idxmin``.
This is the equivalent of the ``numpy.ndarray`` method ``argmin``.

Parameters
----------
axis : {index (0)}
    Axis for the function to be applied on.
    For `Series` this parameter is unused and defaults to 0.

    For DataFrames, specifying ``axis=None`` will apply the aggregation
    across both axes.

    .. versionadded:: 2.0.0

skipna : bool, default True
    Exclude NA/null values when computing the result.
numeric_only : bool, default False
    Include only float, int, boolean columns.
**kwargs
    Additional keyword arguments to be passed to the function.

Returns
-------
scalar or Series (if level specified)
    The minimum of the values in the Series.

See Also
--------
numpy.min : Equivalent numpy function for arrays.
Series.min : Return the minimum.
Series.max : Return the maximum.
Series.idxmin : Return the index of the minimum.
Series.idxmax : Return the index of the maximum.
DataFrame.min : Return the minimum over the requested axis.
DataFrame.max : Return the maximum over the requested axis.
DataFrame.idxmin : Return the index of the minimum over the requested axis.
DataFrame.idxmax : Return the index of the maximum over the requested axis.

Examples
--------
>>> idx = pd.MultiIndex.from_arrays(
...     [["warm", "warm", "cold", "cold"], ["dog", "falcon", "fish", "spider"]],
...     names=["blooded", "animal"],
... )
>>> s = pd.Series([4, 2, 0, 8], name="legs", index=idx)
>>> s
blooded  animal
warm     dog       4
         falcon    2
cold     fish      0
         spider    8
Name: legs, dtype: int64

>>> s.min()
0
r   r  r5  )rO   r  r   r   r  r5  r  s        r   r  
Series.min7  +    F {{

IO
 	
r   maxc                6    [         R                  " U 4XUS.UD6$ )a  
Return the maximum of the values over the requested axis.

If you want the *index* of the maximum, use ``idxmax``.
This is the equivalent of the ``numpy.ndarray`` method ``argmax``.

Parameters
----------
axis : {index (0)}
    Axis for the function to be applied on.
    For `Series` this parameter is unused and defaults to 0.

    For DataFrames, specifying ``axis=None`` will apply the aggregation
    across both axes.

    .. versionadded:: 2.0.0

skipna : bool, default True
    Exclude NA/null values when computing the result.
numeric_only : bool, default False
    Include only float, int, boolean columns.
**kwargs
    Additional keyword arguments to be passed to the function.

Returns
-------
scalar or Series (if level specified)
    The maximum of the values in the Series.

See Also
--------
numpy.max : Equivalent numpy function for arrays.
Series.min : Return the minimum.
Series.max : Return the maximum.
Series.idxmin : Return the index of the minimum.
Series.idxmax : Return the index of the maximum.
DataFrame.min : Return the minimum over the requested axis.
DataFrame.max : Return the maximum over the requested axis.
DataFrame.idxmin : Return the index of the minimum over the requested axis.
DataFrame.idxmax : Return the index of the maximum over the requested axis.

Examples
--------
>>> idx = pd.MultiIndex.from_arrays(
...     [["warm", "warm", "cold", "cold"], ["dog", "falcon", "fish", "spider"]],
...     names=["blooded", "animal"],
... )
>>> s = pd.Series([4, 2, 0, 8], name="legs", index=idx)
>>> s
blooded  animal
warm     dog       4
         falcon    2
cold     fish      0
         spider    8
Name: legs, dtype: int64

>>> s.max()
8
r  )rO   r	  r  s        r   r	  
Series.max~  r  r   r  c                :    [         R                  " U 4UUUUS.UD6$ )a  
Return the sum of the values over the requested axis.

This is equivalent to the method ``numpy.sum``.

Parameters
----------
axis : {index (0)}
    Axis for the function to be applied on.
    For `Series` this parameter is unused and defaults to 0.

    .. warning::

        The behavior of DataFrame.sum with ``axis=None`` is deprecated,
        in a future version this will reduce over both axes and return a scalar
        To retain the old behavior, pass axis=0 (or do not pass axis).

    .. versionadded:: 2.0.0

skipna : bool, default True
    Exclude NA/null values when computing the result.
numeric_only : bool, default False
    Include only float, int, boolean columns. Not implemented for Series.

min_count : int, default 0
    The required number of valid values to perform the operation. If fewer than
    ``min_count`` non-NA values are present the result will be NA.
**kwargs
    Additional keyword arguments to be passed to the function.

Returns
-------
scalar or Series (if level specified)
    Sum of the values for the requested axis.

See Also
--------
numpy.sum : Equivalent numpy function for computing sum.
Series.mean : Mean of the values.
Series.median : Median of the values.
Series.std : Standard deviation of the values.
Series.var : Variance of the values.
Series.min : Minimum value.
Series.max : Maximum value.

Examples
--------
>>> idx = pd.MultiIndex.from_arrays(
...     [["warm", "warm", "cold", "cold"], ["dog", "falcon", "fish", "spider"]],
...     names=["blooded", "animal"],
... )
>>> s = pd.Series([4, 2, 0, 8], name="legs", index=idx)
>>> s
blooded  animal
warm     dog       4
         falcon    2
cold     fish      0
         spider    8
Name: legs, dtype: int64

>>> s.sum()
14

By default, the sum of an empty or all-NA Series is ``0``.

>>> pd.Series([], dtype="float64").sum()  # min_count=0 is the default
0.0

This can be controlled with the ``min_count`` parameter. For example, if
you'd like the sum of an empty series to be NaN, pass ``min_count=1``.

>>> pd.Series([], dtype="float64").sum(min_count=1)
nan

Thanks to the ``skipna`` parameter, ``min_count`` handles all-NA and
empty series identically.

>>> pd.Series([np.nan]).sum()
0.0

>>> pd.Series([np.nan]).sum(min_count=1)
nan
r   r  r5  	min_count)rO   r  r   r   r  r5  r  r  s         r   r  
Series.sum  s4    x {{
%
 
 	
r   prodc                :    [         R                  " U 4UUUUS.UD6$ )a   
Return the product of the values over the requested axis.

By default, missing values are skipped. To include them in the calculation,
set ``skipna`` parameter to False.

Parameters
----------
axis : {index (0)}
    Axis for the function to be applied on.
    For `Series` this parameter is unused and defaults to 0.

    .. warning::
        The behavior of DataFrame.prod with ``axis=None`` is deprecated,
        in a future version this will reduce over both axes and return a scalar
        To retain the old behavior, pass axis=0 (or do not pass axis).

    .. versionadded:: 2.0.0
skipna : bool, default True
    Exclude NA/null values when computing the result.
numeric_only : bool, default False
    Include only float, int, boolean columns. Not implemented for Series.
min_count : int, default 0
    The required number of valid values to perform the operation. If fewer than
    ``min_count`` non-NA values are present the result will be NA.
**kwargs
    Additional keyword arguments to be passed to the function.

Returns
-------
scalar
    Value containing the calculation referenced in the description.

See Also
--------
Series.sum : Return the sum.
Series.min : Return the minimum.
Series.max : Return the maximum.
Series.idxmin : Return the index of the minimum.
Series.idxmax : Return the index of the maximum.

DataFrame.sum : Return the sum over the requested axis.
DataFrame.min : Return the minimum over the requested axis.
DataFrame.max : Return the maximum over the requested axis.
DataFrame.idxmin : Return the index of the minimum over the requested axis.
DataFrame.idxmax : Return the index of the maximum over the requested axis.

Examples
--------
By default, the product of an empty or all-NA Series is ``1``

>>> pd.Series([], dtype="float64").prod()
1.0

This can be controlled with the ``min_count`` parameter

>>> pd.Series([], dtype="float64").prod(min_count=1)
nan

Thanks to the ``skipna`` parameter, ``min_count`` handles all-NA and
empty series identically.

>>> pd.Series([np.nan]).prod()
1.0
>>> pd.Series([np.nan]).prod(min_count=1)
nan
r  )rO   r  r  s         r   r  Series.prod*  s4    X ||
%
 
 	
r   meanc                6    [         R                  " U 4XUS.UD6$ )a  
Return the mean of the values over the requested axis.

Parameters
----------
axis : {index (0)}
    Axis for the function to be applied on.
    For `Series` this parameter is unused and defaults to 0.

    For DataFrames, specifying ``axis=None`` will apply the aggregation
    across both axes.

    .. versionadded:: 2.0.0

skipna : bool, default True
    Exclude NA/null values when computing the result.
numeric_only : bool, default False
    Include only float, int, boolean columns.
**kwargs
    Additional keyword arguments to be passed to the function.

Returns
-------
scalar or Series (if level specified)
    Mean of the values for the requested axis.

See Also
--------
numpy.median : Equivalent numpy function for computing median.
Series.sum : Sum of the values.
Series.median : Median of the values.
Series.std : Standard deviation of the values.
Series.var : Variance of the values.
Series.min : Minimum value.
Series.max : Maximum value.

Examples
--------
>>> s = pd.Series([1, 2, 3])
>>> s.mean()
2.0
r  )rO   r  r  s        r   r  Series.mean  s+    d ||

IO
 	
r   medianc                6    [         R                  " U 4XUS.UD6$ )a  
Return the median of the values over the requested axis.

Parameters
----------
axis : {index (0)}
    Axis for the function to be applied on.
    For `Series` this parameter is unused and defaults to 0.

    For DataFrames, specifying ``axis=None`` will apply the aggregation
    across both axes.

    .. versionadded:: 2.0.0

skipna : bool, default True
    Exclude NA/null values when computing the result.
numeric_only : bool, default False
    Include only float, int, boolean columns.
**kwargs
    Additional keyword arguments to be passed to the function.

Returns
-------
scalar or Series (if level specified)
    Median of the values for the requested axis.

See Also
--------
numpy.median : Equivalent numpy function for computing median.
Series.sum : Sum of the values.
Series.median : Median of the values.
Series.std : Standard deviation of the values.
Series.var : Variance of the values.
Series.min : Minimum value.
Series.max : Maximum value.

Examples
--------
>>> s = pd.Series([1, 2, 3])
>>> s.median()
2.0

With a DataFrame

>>> df = pd.DataFrame({"a": [1, 2], "b": [2, 3]}, index=["tiger", "zebra"])
>>> df
       a   b
tiger  1   2
zebra  2   3
>>> df.median()
a   1.5
b   2.5
dtype: float64

Using axis=1

>>> df.median(axis=1)
tiger   1.5
zebra   2.5
dtype: float64

In this case, `numeric_only` should be set to `True`
to avoid getting an error.

>>> df = pd.DataFrame({"a": [1, 2], "b": ["T", "Z"]}, index=["tiger", "zebra"])
>>> df.median(numeric_only=True)
a   1.5
dtype: float64
r  )rO   r  r  s        r   r  Series.median  s+    ^ ~~

IO
 	
r   semc                :    [         R                  " U 4UUUUS.UD6$ )a  
Return unbiased standard error of the mean over requested axis.

Normalized by N-1 by default. This can be changed using the ddof argument

Parameters
----------
axis : {index (0)}
    This parameter is unused and defaults to 0.
skipna : bool, default True
    Exclude NA/null values. If an entire row/column is NA, the result
    will be NA.
ddof : int, default 1
    Delta Degrees of Freedom. The divisor used in calculations is N - ddof,
    where N represents the number of elements.
numeric_only : bool, default False
    Include only float, int, boolean columns. Not implemented for Series.
**kwargs :
    Additional keywords have no effect but might be accepted
    for compatibility with NumPy.

Returns
-------
scalar or Series (if level specified)
    Unbiased standard error of the mean over requested axis.

See Also
--------
scipy.stats.sem : Compute standard error of the mean.
Series.std : Return sample standard deviation over requested axis.
Series.var : Return unbiased variance over requested axis.
Series.mean : Return the mean of the values over the requested axis.
Series.median : Return the median of the values over the requested axis.
Series.mode : Return the mode(s) of the Series.

Examples
--------
>>> s = pd.Series([1, 2, 3])
>>> round(s.sem(), 6)
0.57735
r   r  rQ  r5  )rO   r  r   r   r  rQ  r5  r  s         r   r  
Series.sem   s4    d {{
%
 
 	
r   varc                :    [         R                  " U 4UUUUS.UD6$ )a  
Return unbiased variance over requested axis.

Normalized by N-1 by default. This can be changed using the ddof argument.

Parameters
----------
axis : {index (0)}
    For `Series` this parameter is unused and defaults to 0.

    .. warning::

        The behavior of DataFrame.var with ``axis=None`` is deprecated,
        in a future version this will reduce over both axes and return a scalar
        To retain the old behavior, pass axis=0 (or do not pass axis).

skipna : bool, default True
    Exclude NA/null values. If an entire row/column is NA, the result
    will be NA.
ddof : int, default 1
    Delta Degrees of Freedom. The divisor used in calculations is N - ddof,
    where N represents the number of elements.
numeric_only : bool, default False
    Include only float, int, boolean columns. Not implemented for Series.
**kwargs :
    Additional keywords passed.

Returns
-------
scalar or Series (if level specified)
    Unbiased variance over requested axis.

See Also
--------
numpy.var : Equivalent function in NumPy.
Series.std : Returns the standard deviation of the Series.
DataFrame.var : Returns the variance of the DataFrame.
DataFrame.std : Return standard deviation of the values over
    the requested axis.

Examples
--------
>>> df = pd.DataFrame(
...     {
...         "person_id": [0, 1, 2, 3],
...         "age": [21, 25, 62, 43],
...         "height": [1.61, 1.87, 1.49, 2.01],
...     }
... ).set_index("person_id")
>>> df
           age  height
person_id
0           21    1.61
1           25    1.87
2           62    1.49
3           43    2.01

>>> df.var()
age       352.916667
height      0.056367
dtype: float64

Alternatively, ``ddof=0`` can be set to normalize by N instead of N-1:

>>> df.var(ddof=0)
age       264.687500
height      0.042275
dtype: float64
r  )rO   r  r  s         r   r  
Series.varC   s4    \ {{
%
 
 	
r   stdc                :    [         R                  " U 4UUUUS.UD6$ )a  
Return sample standard deviation.

Normalized by N-1 by default. This can be changed using the ddof argument.

Parameters
----------
axis : {index (0)}
    This parameter is unused and defaults to 0.
skipna : bool, default True
    Exclude NA/null values. If Series is NA, the result
    will be NA.
ddof : int, default 1
    Delta Degrees of Freedom. The divisor used in calculations is N - ddof,
    where N represents the number of elements.
numeric_only : bool, default False
    Not implemented for Series.
**kwargs :
    Additional keywords have no effect but might be accepted
    for compatibility with NumPy.

Returns
-------
scalar
    Standard deviation over all values in the Series.

See Also
--------
numpy.std : Compute the standard deviation along the specified axis.
Series.var : Return unbiased variance over requested axis.
Series.sem : Return unbiased standard error of the mean over requested axis.
Series.mean : Return the mean of the values over the requested axis.
Series.median : Return the median of the values over the requested axis.
Series.mode : Return the mode(s) of the Series.

Examples
--------
>>> s = pd.Series([1, 2, 3])
>>> s.std()
1.0

Alternatively, ``ddof=0`` can be set to normalize by $N$ instead of $N-1$:

>>> s.std(ddof=0)
0.816496580927726
r  )rO   r"  r  s         r   r"  
Series.std   s4    n {{
%
 
 	
r   skewc                6    [         R                  " U 4XUS.UD6$ )ap  
Return unbiased skew over requested axis.

Normalized by N-1.

Parameters
----------
axis : {index (0)}
    This parameter is unused and defaults to 0.
skipna : bool, default True
    Exclude NA/null values when computing the result.
numeric_only : bool, default False
    Unused.
**kwargs
    Additional keyword arguments to be passed to the function.

Returns
-------
scalar
    Unbiased skew of the Series.

See Also
--------

Series.var : Return unbiased variance over requested axis.
Series.std : Return unbiased standard deviation over requested axis.

Examples
--------
>>> s = pd.Series([1, 2, 3])
>>> s.skew()
0.0
r  )rO   r%  r  s        r   r%  Series.skew   s+    R ||

IO
 	
r   kurtc                6    [         R                  " U 4XUS.UD6$ )a/  
Return unbiased kurtosis over requested axis.

Kurtosis obtained using Fisher's definition of
kurtosis (kurtosis of normal == 0.0). Normalized by N-1.

Parameters
----------
axis : {index (0)}
    Axis for the function to be applied on.
    For `Series` this parameter is unused and defaults to 0.

    For DataFrames, specifying ``axis=None`` will apply the aggregation
    across both axes.

    .. versionadded:: 2.0.0

skipna : bool, default True
    Exclude NA/null values when computing the result.
numeric_only : bool, default False
    Include only float, int, boolean columns.

**kwargs
    Additional keyword arguments to be passed to the function.

Returns
-------
scalar
    Unbiased kurtosis.

See Also
--------
Series.skew : Return unbiased skew over requested axis.
Series.var : Return unbiased variance over requested axis.
Series.std : Return unbiased standard deviation over requested axis.

Examples
--------
>>> s = pd.Series([1, 2, 2, 3], index=["cat", "dog", "dog", "mouse"])
>>> s
cat    1
dog    2
dog    2
mouse  3
dtype: int64
>>> s.kurt()
1.5
r  )rO   r(  r  s        r   r(  Series.kurt!  s+    p ||

IO
 	
r   c                8    [         R                  " XU/UQ70 UD6$ )a  
Return cumulative minimum over a Series.

Returns a Series of the same size containing the cumulative
minimum.

Parameters
----------
axis : {0 or 'index'}, default 0
    This parameter is unused and defaults to 0.
skipna : bool, default True
    If the entire series is NA, the result will be NA.
*args, **kwargs
    Additional keywords have no effect but might be accepted for
    compatibility with NumPy.

Returns
-------
Series
    Return cumulative minimum of the Series.

See Also
--------
core.window.expanding.Expanding.min : Similar functionality
    but ignores ``NaN`` values.
Series.min : Return the minimum value of the Series.
Series.cummax : Return cumulative maximum.
Series.cumsum : Return cumulative sum.
Series.cumprod : Return cumulative product.

Examples
--------
>>> s = pd.Series([2, np.nan, 5, -1, 0])
>>> s
0    2.0
1    NaN
2    5.0
3   -1.0
4    0.0
dtype: float64

By default, NA values are ignored.

>>> s.cummin()
0    2.0
1    NaN
2    2.0
3   -1.0
4   -1.0
dtype: float64

To include NA values in the operation, use ``skipna=False``

>>> s.cummin(skipna=False)
0    2.0
1    NaN
2    NaN
3    NaN
4    NaN
dtype: float64
)rO   cumminr   r   r  r  r  s        r   r,  Series.cumminF!       | ~~d&B4B6BBr   c                8    [         R                  " XU/UQ70 UD6$ )a  
Return cumulative maximum over a Series.

Returns a Series of the same size containing the cumulative
maximum.

Parameters
----------
axis : {0 or 'index'}, default 0
    This parameter is unused and defaults to 0.
skipna : bool, default True
    Exclude NA/null values. If the series is NA, the result is NA.
*args, **kwargs
    Additional keywords have no effect but might be accepted for
    compatibility with NumPy.

Returns
-------
Series
    Return cumulative maximum of Series.

See Also
--------
core.window.expanding.Expanding.max : Similar functionality
    but ignores ``NaN`` values.
Series.max : Return the maximum over a Series.
Series.cummin : Return cumulative minimum.
Series.cumsum : Return cumulative sum.
Series.cumprod : Return cumulative product.

Examples
--------
>>> s = pd.Series([2, np.nan, 5, -1, 0])
>>> s
0    2.0
1    NaN
2    5.0
3   -1.0
4    0.0
dtype: float64

By default, NA values are ignored.

>>> s.cummax()
0    2.0
1    NaN
2    5.0
3    5.0
4    5.0
dtype: float64

To include NA values in the operation, use ``skipna=False``

>>> s.cummax(skipna=False)
0    2.0
1    NaN
2    NaN
3    NaN
4    NaN
dtype: float64
)rO   cummaxr-  s        r   r1  Series.cummax!  r/  r   c                8    [         R                  " XU/UQ70 UD6$ )a  
Return cumulative sum over a Series.

Returns a Series of the same size containing the cumulative sum.

Parameters
----------
axis : {0 or 'index'}, default 0
    This parameter is unused and defaults to 0.
skipna : bool, default True
    Exclude NA/null values. If entire series is NA, the result will be NA.
*args, **kwargs
    Additional keywords have no effect but might be accepted for
    compatibility with NumPy.

Returns
-------
Series
    Return cumulative sum of Series.

See Also
--------
core.window.expanding.Expanding.sum : Similar functionality
    but ignores ``NaN`` values.
Series.sum : Return the sum over Series.
Series.cummax : Return cumulative maximum.
Series.cummin : Return cumulative minimum.
Series.cumprod : Return cumulative product.

Examples
--------
>>> s = pd.Series([2, np.nan, 5, -1, 0])
>>> s
0    2.0
1    NaN
2    5.0
3   -1.0
4    0.0
dtype: float64

By default, NA values are ignored.

>>> s.cumsum()
0    2.0
1    NaN
2    7.0
3    6.0
4    6.0
dtype: float64

To include NA values in the operation, use ``skipna=False``

>>> s.cumsum(skipna=False)
0    2.0
1    NaN
2    NaN
3    NaN
4    NaN
dtype: float64
)rO   cumsumr-  s        r   r4  Series.cumsum!  s     z ~~d&B4B6BBr   c                8    [         R                  " XU/UQ70 UD6$ )a  
Return cumulative product over a Series.

Returns a Series of the same size containing the cumulative
product.

Parameters
----------
axis : {0 or 'index'}, default 0
    This parameter is unused and defaults to 0.
skipna : bool, default True
    Exclude NA/null values. If entire Series is NA, the result will be NA.
*args, **kwargs
    Additional keywords have no effect but might be accepted for
    compatibility with NumPy.

Returns
-------
Series
    Return cumulative product of Series.

See Also
--------
core.window.expanding.Expanding.prod : Similar functionality
    but ignores ``NaN`` values.
Series.prod : Return the product over Series.
Series.cummax : Return cumulative maximum.
Series.cummin : Return cumulative minimum.
Series.cumsum : Return cumulative sum.

Examples
--------
>>> s = pd.Series([2, np.nan, 5, -1, 0])
>>> s
0    2.0
1    NaN
2    5.0
3   -1.0
4    0.0
dtype: float64

By default, NA values are ignored.

>>> s.cumprod()
0     2.0
1     NaN
2    10.0
3   -10.0
4    -0.0
dtype: float64

To include NA values in the operation, use ``skipna=False``

>>> s.cumprod(skipna=False)
0    2.0
1    NaN
2    NaN
3    NaN
4    NaN
dtype: float64
)rO   cumprodr-  s        r   r7  Series.cumprod"  s     | t6CDCFCCr   )r   r   r   )NNNNN)r   zDtype | Noner   bool | NonereturnNone)NN)r   r   r   Index | Noner   zDtypeObj | Noner   )r:  ztype[Series])r:  zCallable[..., DataFrame])r:  r9  )r:  rq   )r:  r   )r  r   r:  r;  )r:  re   )r:  rG   )r:  int)r   znpt.DTypeLike | Noner   r9  r:  r   )r:  zlist[Index])r   )r$  r=  r   rm   r:  r   )r*  r6  r   rm   r:  r   )r<  r   )rJ  znpt.NDArray[np.bool_]r:  r   )F)rY  r9  )r:  r;  )rY  r9  r:  r;  )r  zint | Sequence[int]r   r;  r:  r   ).)r  rv   r  Literal[False]r   rw   r   r>  r  r9  r:  r   )r  rv   r  Literal[True]r   rw   r   r>  r  r9  r:  r   )r  rv   r  r9  r   rw   r   r?  r  r9  r:  r;  )r  IndexLabel | Noner  r9  r   rw   r   r9  r  r9  r:  zDataFrame | Series | None)r:  r   )r  r;  r  r   r  
str | Noner  r9  r   r9  r  r9  r  
int | Noner  rB  r:  r   )r  zFilePath | WriteBuffer[str]r  r   r  rA  r  r9  r   r9  r  r9  r  rB  r  rB  r:  r;  )
NNaNNTTFFFNN)r  z"FilePath | WriteBuffer[str] | Noner  r   r  rA  r  r9  r   r9  r  r9  r   r9  r   r9  r  rB  r  rB  r:  rA  )
r  r;  r  r   r   r9  r  StorageOptions | Noner:  r   )
r  zIO[str]r  r   r   r9  r  rD  r:  r;  )
r  IO[str] | Noner  r   r   r9  r  rD  r:  rA  )NwtTN)r:  zIterable[tuple[Hashable, Any]])r:  rT   )r  z'type[MutableMappingT] | MutableMappingTr:  ry   )r  z
type[dict]r:  r  )r   r   r:  r   )r   z,ArrowArrayExportable | ArrowStreamExportabler:  r   )r   r9  r:  r   )NNTTTTT)r  r@  r  r9  r  r9  r  r9  r  r9  r  r9  r:  r   )T)r  r9  r:  r   )r:  ri   )r  ro   r   r>  r  r9  r:  r   )r  ro   r   r?  r  r9  r:  r;  )r  ro   r   r9  r  r9  r:  Series | None)r  )r  ro   r:  r   )r   T)r   rl   r  r9  r:  r   )r%  r=  r:  r   )..)r.  rG  r/  r}   r:  rG  )r.  zSequence[float] | AnyArrayLiker/  r}   r:  r   )r.  z&float | Sequence[float] | AnyArrayLiker/  r}   r:  zfloat | Series)g      ?linear)r@  N)rJ  r   r  rn   rC  rB  r:  rG  )NrS  )rJ  r   rC  rB  rQ  rB  r:  rG  )rS  )rW  r=  r:  r   )r[  r=  r:  rG  )rJ  AnyArrayLike | DataFramer:  zSeries | np.ndarray)rc  N)r  z$NumpyValueArrayLike | ExtensionArrayrs  zLiteral['left', 'right']rt  zNumpySorter | Noner:  znpt.NDArray[np.intp] | np.intp)r|  r   r  r9  r:  r   )rS  FFrk  )rJ  r   r  rl   r  r9  r  r9  r  r   r:  DataFrame | Series)rJ  zSeries | Hashabler  z(Callable[[Hashable, Hashable], Hashable]r  Hashable | Noner:  r   )r:  r   )rJ  zSeries | Sequence | Mappingr:  r;  )r   rl   r  bool | Sequence[bool]r   r>  r`  r   r  rz   r  r9  r<  r   r:  r   )r   rl   r  rL  r   r?  r`  r   r  rz   r  r9  r<  r   r:  r;  )r   rl   r  rL  r   r9  r`  r   r  rz   r  r9  r<  r   r:  rG  )r   rl   r  rL  r   r9  r`  r   r  rz   r  r9  r<  zValueKeyFunc | Noner:  rG  )r   rl   r  rv   r  rL  r   r?  r`  r   r  rz   r  r9  r  r9  r<  ru   r:  r;  )r   rl   r  rv   r  rL  r   r>  r`  r   r  rz   r  r9  r  r9  r<  ru   r:  r   )r   rl   r  rv   r  rL  r   r9  r`  r   r  rz   r  r9  r  r9  r<  ru   r:  rG  )r   rl   r  r@  r  rL  r   r9  r`  r   r  rz   r  r9  r  r9  r<  zIndexKeyFunc | Noner:  rG  )r   r  NN)
r   rl   r`  r   r  r;  r  r;  r:  r   )   r  )r  r=  r  zLiteral['first', 'last', 'all']r:  r   )r$  rw   r  rw   r   bool | lib.NoDefaultr:  r   )r  zSequence[Level]r:  r   )r  r9  r:  r   )rv  NT)r  rv   r  rK  r  r9  r:  r   )NNN)r  z"Callable | Mapping | Series | Noner  zLiteral['ignore'] | Noner  zCallable | Noner:  r   )r:  r   )Nr   )r   rl   )r  rf   r   rl   r:  rJ  )r  )r  rf   r  ztuple[Any, ...]r  zLiteral[False, 'compat']r:  rJ  )rK  r<  rJ  znpt.NDArray[np.intp] | Noner:  r   )r   Renamer | Hashable | Noner   Axis | Noner   rN  r   r?  r  Level | Noner  rt   r:  rG  )r   rO  r   rP  r   rN  r   r>  r  rQ  r  rt   r:  r   )r   rO  r   rP  r   rN  r   r9  r  rQ  r  rt   r:  rG  )r   rl   r   rN  r:  r   )r   rP  r  zReindexMethod | Noner   rN  r  rQ  r  zScalar | Noner  rB  r:  r   )
r  IndexLabel | lib.NoDefaultr   rl   r   rN  r   r?  r:  r;  )
r  rR  r   rl   r   rN  r   r>  r:  r   )
r  rR  r   rl   r   rN  r   r9  r:  zSelf | None)r  IndexLabel | ListLiker   rl   r   rS  r  rS  r  rQ  r   r?  r  rt   r:  r;  )r  rS  r   rl   r   rS  r  rS  r  rQ  r   r>  r  rt   r:  r   )r  rS  r   rl   r   rS  r  rS  r  rQ  r   r9  r  rt   r:  rG  )r(  r   r:  r   )NNNNT)r,  r9  r  rE  r+  rB  r/  zbool | str | Noner-  r9  r:  r;  )TF)r   r9  r   r9  r:  r=  )r9  )r;  z+Literal['both', 'neither', 'left', 'right']r:  r   )rF  zlist[tuple[ArrayLike | Callable[[Series], Series | np.ndarray | Sequence[bool]], ArrayLike | Scalar | Callable[[Series], Series | np.ndarray]],]r:  r   )
r   rl   r   r>  r`  AnyAll | Noner  r9  r:  r   )
r   rl   r   r?  r`  rT  r  r9  r:  r;  )
r   rl   r   r9  r`  rT  r  r9  r:  rG  )ri  zFrequency | Noner`  z!Literal['s', 'e', 'start', 'end']r   rN  r:  r   )ri  rA  r   rN  r:  r   )r  r9  )rJ  r   r:  r   )r>  z'ArrayLike | tuple[ArrayLike, ArrayLike]r   r   rJ  rI  r:  zSeries | tuple[Series, Series])NNr   )r  rQ  r  zfloat | Noner   rl   r:  r   )r   rl   r:  r   )r   r   r   rl   r  r9  r5  r9  )r   rl   r  r9  r  r9  r:  r9  )r   FT)r   TF)r   rP  r  r9  r5  r9  )NTFr   )r   rP  r  r9  r5  r9  r  r=  )r   rP  r  r9  r5  r9  r:  r   )NTrS  F)r   rP  r  r9  rQ  r=  r5  r9  )r   rl   r  r9  r:  r   )r   
__module____qualname____firstlineno____doc___typrT   rG   r   r   _HANDLED_TYPES__annotations__r   rO   _internal_names_set
_accessorsr@   ru  _hidden_attrs	frozenset__pandas_priority__propertyhasnansfgetr   r   r   r   r   r   r   r   r   r   r   setterr   r  r   r   rL   r  r  r   r%  r,  r?  r;  r5  r:  r2  rl  rg  rj  rr  rf  r  r  r   r  r   r  r  r  r    r   r  r  r   r  r  r  classmethodr  r  r	   r_   _shared_doc_kwargsr  r  r  r   r	  r   r  r  r#  r0  rN  rS  rV  r\  r_  rl  rp  rv  r}  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  _agg_see_also_doc_agg_examples_docr  r  r  r  r  r  r
  r  r   r  r  r  r0  r/  r6  r>  rT  r;   r!   rY  r=   r^  r  rj  ro  rq  r   	_AXIS_LENrr  rs  r   AxisPropertyr   rE   rb   r   rR   r   rJ   r   r   plottingPlotAccessorrt  rK   r   rI   ru  rH   r   hist_serieshistr  r  r  r  r  r}  r  r  rC   make_flex_docr  r  r  r  r  r  r  r  subtractr  r  multiplyr  r  divdivider  rdivr  r  r  r  r  r  r  r  r  ry  r  r  r	  r  r  r  r  r  r  r"  r%  r(  kurtosisproductr,  r1  r4  r7  __static_attributes____classcell__)r  s   @r   r   r      s#   jX D^RZZ8NO#9Iy$"F+g.I.II/J((7+@+@@9R=P   ""''&&..G
  " V! 	V! V! 
V!r SW//$0/@O/f'B  &  / & &  &  " 0 0d 
[[1 1 (+ (+T + +B % % d  &&../  0 GK@)@8C@	@J   & &.#`
*(Y'" '"RC+J.	%)@% %<8
 8
t     #"%!$ 	
     
    
 "%!$ 	
     
     !$ 	
    
  $(U nn!&U U 	U
 U U U 
#Ut-   #&"" 	
 !      
  
 #&""( 	
 !      
  $fe_;
 37#'##X/X X !	X
 X X X X X X X 
XXt   14 	
  / 
  
 14 	
  / 
  
 14 	
  / 
  $fe_=
 #15L
L
 L
 	L

 /L
 
L
L
`>@* >	  ,/= = 9=/( 6/( 
	/(b ), )8V ; ;z  jl	
n^ l9%(::;#%<9
 #'
 !
 	

 
 
 
 
 

 <_nf
@S*D, D,LA  A F  "%    	
  
  "%TW0=MQ	  "%sQT04JN	  !"` ` 	`
 ` 
` `DN> N>`:  : x;  ; z8
 8
t EH-B	   03) - 
	   58/21 - 
	  58/7><1>< ->< 
	><F %."&	_
_
 "_
  	_

 
_
H #'	00  0 	0
 
0dS, S,j+8 +8ZN0`- *0%)	\V3\V '\V #	\V
 
(\VBD D   !2e
e
 e
 	e

 e
 e
 
e
 e
V '+	f
 f
 7f
 $	f

 
f
PKCZZ<~  +."%"% 
 
 )	

  
 
  
 
 
 

 
  +."% 
 
 )	

 
 
  
 
 
 

 
  +."% 
 
 )	

 
 
  
 
 
 

 
 +/$"("#'@ @ )	@
 @ @  @ @ !@ 
@D  +."%"   	
 )        
   +."%"%"   	
 )         
   +."%"   	
 )        
 " #'+/$"(#"#'O
 O
 !	O

 )O
 O
 O
  O
 O
 O
 !O
 
O
 O
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   r   r   r   r   r   r   r   numpyr   pandas._libsr   r   r   pandas._libs.libr   pandas.compatr   pandas.compat._constantsr   r   pandas.compat._optionalr   pandas.compat.numpyr   r  pandas.errorsr   r   r   pandas.errors.cowr   r   pandas.util._decoratorsr   r    r!   r"   pandas.util._exceptionsr#   pandas.util._validatorsr$   r%   r&   pandas.core.dtypes.astyper'   pandas.core.dtypes.castr(   r)   r*   r+   r,   r-   pandas.core.dtypes.commonr.   r/   r0   r1   r2   r3   r4   r5   r6   pandas.core.dtypes.dtypesr7   pandas.core.dtypes.genericr8   r9   pandas.core.dtypes.inferencer:   pandas.core.dtypes.missingr;   r<   r=   r>   pandas.corer?   r@   rA   r   rB   rC   rD   pandas.core.accessorrE   pandas.core.applyrF   pandas.core.arraysrG   pandas.core.arrays.arrowrH   rI   pandas.core.arrays.categoricalrJ   pandas.core.arrays.sparserK   pandas.core.constructionrL   rC  rM   rN   pandas.core.genericrO   pandas.core.indexersrP   rQ   pandas.core.indexes.accessorsrR   pandas.core.indexes.apirS   rT   rU   rV   rW   rX   rY   pandas.core.indexes.basecoreindexesr   pandas.core.indexes.multirZ   pandas.core.indexingr[   r\   pandas.core.internalsr]   pandas.core.methodsr^   pandas.core.shared_docsr_   pandas.core.sortingr`   ra   pandas.core.strings.accessorrb   pandas.core.tools.datetimesrc   pandas.io.formats.formatioformatsformatr  pandas.io.formats.inford   pandas.plottingr   pandas._libs.internalsre   pandas._typingrf   rg   rh   ri   rj   rk   rl   rm   rn   ro   rp   rq   rr   rs   rt   ru   rv   rw   rx   ry   rz   r{   r|   r}   r~   r   r   r   r   r   r   r   r   r   r   r  r   __all__rf  ru  r   r  r   r   <module>r     s   #    
      
 . 2 ? . 
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