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__future__.cpython-311.pyc
4.8
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2026-07-12 06:23
__hello__.cpython-311.pyc
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_aix_support.cpython-311.pyc
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_sysconfigdata__linux_x86_64-linux-gnu.cpython-311.pyc
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_sysconfigdata__x86_64-linux-gnu.cpython-311.pyc
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_threading_local.cpython-311.pyc
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abc.cpython-311.pyc
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aifc.cpython-311.pyc
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antigravity.cpython-311.pyc
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argparse.cpython-311.pyc
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ast.cpython-311.pyc
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asynchat.cpython-311.pyc
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asyncore.cpython-311.pyc
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base64.cpython-311.pyc
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bdb.cpython-311.pyc
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bisect.cpython-311.pyc
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bz2.cpython-311.pyc
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cProfile.cpython-311.pyc
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calendar.cpython-311.pyc
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cgi.cpython-311.pyc
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cgitb.cpython-311.pyc
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chunk.cpython-311.pyc
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cmd.cpython-311.pyc
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code.cpython-311.pyc
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codecs.cpython-311.pyc
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codeop.cpython-311.pyc
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colorsys.cpython-311.pyc
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compileall.cpython-311.pyc
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configparser.cpython-311.pyc
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contextlib.cpython-311.pyc
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contextvars.cpython-311.pyc
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copy.cpython-311.pyc
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copyreg.cpython-311.pyc
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crypt.cpython-311.pyc
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csv.cpython-311.pyc
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dataclasses.cpython-311.pyc
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datetime.cpython-311.pyc
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decimal.cpython-311.pyc
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difflib.cpython-311.pyc
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dis.cpython-311.pyc
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doctest.cpython-311.pyc
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enum.cpython-311.pyc
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filecmp.cpython-311.pyc
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fnmatch.cpython-311.pyc
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fractions.cpython-311.pyc
28.55
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ftplib.cpython-311.pyc
46.06
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functools.cpython-311.pyc
45.54
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genericpath.cpython-311.pyc
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getopt.cpython-311.pyc
9.5
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getpass.cpython-311.pyc
7.33
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gettext.cpython-311.pyc
23.25
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glob.cpython-311.pyc
10.88
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graphlib.cpython-311.pyc
10.81
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gzip.cpython-311.pyc
32.93
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hashlib.cpython-311.pyc
12.05
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heapq.cpython-311.pyc
20.09
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hmac.cpython-311.pyc
11.2
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imaplib.cpython-311.pyc
66.99
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imghdr.cpython-311.pyc
7.66
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imp.cpython-311.pyc
16.07
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inspect.cpython-311.pyc
138.47
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io.cpython-311.pyc
4.9
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ipaddress.cpython-311.pyc
93.95
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keyword.cpython-311.pyc
1.04
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linecache.cpython-311.pyc
7.29
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locale.cpython-311.pyc
62.77
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lzma.cpython-311.pyc
16.33
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mailbox.cpython-311.pyc
121.61
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mailcap.cpython-311.pyc
12.48
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mimetypes.cpython-311.pyc
25.25
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modulefinder.cpython-311.pyc
30.29
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netrc.cpython-311.pyc
9.66
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nntplib.cpython-311.pyc
48.98
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ntpath.cpython-311.pyc
28.02
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nturl2path.cpython-311.pyc
3.41
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numbers.cpython-311.pyc
14.89
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opcode.cpython-311.pyc
13.53
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operator.cpython-311.pyc
18.32
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optparse.cpython-311.pyc
71.99
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os.cpython-311.pyc
47.82
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pathlib.cpython-311.pyc
66.18
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pdb.cpython-311.pyc
83.55
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pickle.cpython-311.pyc
84.6
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pickletools.cpython-311.pyc
84.25
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pipes.cpython-311.pyc
11.69
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pkgutil.cpython-311.pyc
30.82
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platform.cpython-311.pyc
42.7
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plistlib.cpython-311.pyc
44.97
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poplib.cpython-311.pyc
20.48
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posixpath.cpython-311.pyc
19.51
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pprint.cpython-311.pyc
32.69
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profile.cpython-311.pyc
23.35
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pstats.cpython-311.pyc
40.89
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pty.cpython-311.pyc
7.34
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py_compile.cpython-311.pyc
10.59
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pyclbr.cpython-311.pyc
15.51
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pydoc.cpython-311.pyc
151.22
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queue.cpython-311.pyc
16.07
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quopri.cpython-311.pyc
10.6
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random.cpython-311.pyc
33.71
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reprlib.cpython-311.pyc
9.45
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rlcompleter.cpython-311.pyc
8.8
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runpy.cpython-311.pyc
15.74
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sched.cpython-311.pyc
8.21
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secrets.cpython-311.pyc
2.79
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selectors.cpython-311.pyc
27.68
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13.55
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14.36
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shutil.cpython-311.pyc
68.81
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signal.cpython-311.pyc
4.9
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site.cpython-311.pyc
30.24
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sitecustomize.cpython-311.pyc
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smtpd.cpython-311.pyc
42.64
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smtplib.cpython-311.pyc
52.85
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sndhdr.cpython-311.pyc
12.13
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socket.cpython-311.pyc
44.41
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36.19
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sre_compile.cpython-311.pyc
813
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sre_parse.cpython-311.pyc
809
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ssl.cpython-311.pyc
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stat.cpython-311.pyc
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statistics.cpython-311.pyc
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string.cpython-311.pyc
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stringprep.cpython-311.pyc
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struct.cpython-311.pyc
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subprocess.cpython-311.pyc
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symtable.cpython-311.pyc
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sysconfig.cpython-311.pyc
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tabnanny.cpython-311.pyc
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tarfile.cpython-311.pyc
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telnetlib.cpython-311.pyc
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tempfile.cpython-311.pyc
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threading.cpython-311.pyc
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timeit.cpython-311.pyc
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token.cpython-311.pyc
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tokenize.cpython-311.pyc
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trace.cpython-311.pyc
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traceback.cpython-311.pyc
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tracemalloc.cpython-311.pyc
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types.cpython-311.pyc
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typing.cpython-311.pyc
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warnings.cpython-311.pyc
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zipfile.cpython-311.pyc
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zipimport.cpython-311.pyc
29.09
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� �j�o � �� � d Z ddlmZ ddlZddlZddlZddlZddlZdgZej j Zej j Z ej dej ej z � � Z G d� dej � � ZdS )z/Fraction, infinite-precision, rational numbers.� ��DecimalN�Fractiona� \A\s* # optional whitespace at the start, (?P<sign>[-+]?) # an optional sign, then (?=\d|\.\d) # lookahead for digit or .digit (?P<num>\d*|\d+(_\d+)*) # numerator (possibly empty) (?: # followed by (?:/(?P<denom>\d+(_\d+)*))? # an optional denominator | # or (?:\.(?P<decimal>d*|\d+(_\d+)*))? # an optional fractional part (?:E(?P<exp>[-+]?\d+(_\d+)*))? # and optional exponent ) \s*\Z # and optional whitespace to finish c �l � � e Zd ZdZdZd.dd�� fd�Zed� � � Zed � � � Zd � Z d/d�Z ed � � � Zed� � � Z d� Zd� Zd� Zd� Z eeej � � \ ZZd� Z eeej � � \ ZZd� Z eeej � � \ ZZd� Z eeej � � \ Z Z!d� Z" ee"ej# � � \ Z$Z%d� Z& ee&e'� � \ Z(Z)d� Z* ee*ej+ � � \ Z,Z-d� Z.d� Z/d� Z0d� Z1d� Z2ej3 fd�Z4d� Z5d � Z6d!� Z7d0d"�Z8d#� Z9d$� Z:d%� Z;d&� Z<d'� Z=d(� Z>d)� Z?d*� Z@d+� ZAd,� ZBd-� ZC� xZDS )1r a] This class implements rational numbers. In the two-argument form of the constructor, Fraction(8, 6) will produce a rational number equivalent to 4/3. Both arguments must be Rational. The numerator defaults to 0 and the denominator defaults to 1 so that Fraction(3) == 3 and Fraction() == 0. Fractions can also be constructed from: - numeric strings similar to those accepted by the float constructor (for example, '-2.3' or '1e10') - strings of the form '123/456' - float and Decimal instances - other Rational instances (including integers) �� _numerator�_denominatorr NT�� _normalizec �� �� t t | � � � | � � }|���t |� � t u r||_ d|_ |S t |t j � � r|j |_ |j |_ |S t |t t f� � r#|� � � \ |_ |_ |S t |t � � �r/t � |� � }|�t% d|z � � �t |� d� � pd� � }|� d� � }|rt |� � }n�d}|� d� � }|rB|� dd � � }d t+ |� � z }||z t |� � z }||z }|� d� � } | r't | � � } | dk r |d | z z }n |d | z z }|� d � � dk r| }n�t- d� � �t |� � t cxu rt |� � u rn nnbt |t j � � r9t |t j � � r|j |j z |j |j z }}nt- d� � �|dk rt/ d|z � � �|r(t1 j ||� � } |dk r| } || z }|| z }||_ ||_ |S )a� Constructs a Rational. Takes a string like '3/2' or '1.5', another Rational instance, a numerator/denominator pair, or a float. Examples -------- >>> Fraction(10, -8) Fraction(-5, 4) >>> Fraction(Fraction(1, 7), 5) Fraction(1, 35) >>> Fraction(Fraction(1, 7), Fraction(2, 3)) Fraction(3, 14) >>> Fraction('314') Fraction(314, 1) >>> Fraction('-35/4') Fraction(-35, 4) >>> Fraction('3.1415') # conversion from numeric string Fraction(6283, 2000) >>> Fraction('-47e-2') # string may include a decimal exponent Fraction(-47, 100) >>> Fraction(1.47) # direct construction from float (exact conversion) Fraction(6620291452234629, 4503599627370496) >>> Fraction(2.25) Fraction(9, 4) >>> Fraction(Decimal('1.47')) Fraction(147, 100) N� z Invalid literal for Fraction: %r�num�0�denom�decimal�_� � �expr �sign�-z2argument should be a string or a Rational instancez+both arguments should be Rational instanceszFraction(%s, 0))�superr �__new__�type�intr r � isinstance�numbers�Rational� numerator�denominator�floatr �as_integer_ratio�str�_RATIONAL_FORMAT�match� ValueError�group�replace�len� TypeError�ZeroDivisionError�math�gcd)�clsr r r �self�mr r �scaler �g� __class__s �� /usr/lib/python3.11/fractions.pyr zFraction.__new__>