from re import compile
from ast import literal_eval
from functools import reduce
from collections import Iterator, deque, namedtuple
Location = namedtuple( 'Location' , 'start, end, filename, first_line' )
class StructMixIn:
infix = False
closed = False
indented = False
def after( self , other) :
self .location = Location(
other.location .end ,
other.location .end ,
other.location .filename ,
other.location .first_line
)
return self
def at( self , stream, start) :
self .location = Location(
stream.position ( start) ,
stream.position ( stream.offset ) ,
stream.filename ,
stream.line ( start)
)
return self
class Expression ( list , StructMixIn) :
def __repr__ ( self ) :
return ( '({})' if self .closed else '{}' ) .format (
' ' .join ( map ( repr , self [ 1 :] ) ) if self [ 0 ] == '' else
'{1}{0}{2}' .format ( *self ) if len ( self ) == 3 and self [ 0 ] == '.' else
'{1} {0} {2}' .format ( *self ) if len ( self ) == 3 else
'{1} {0}' .format ( *self ) if len ( self ) == 2 else
'({}) {}' .format ( self [ 0 ] , ' ' .join ( map ( repr , self [ 1 :] ) ) )
)
class Link ( str , StructMixIn) :
def __new__ ( cls, data, infix= False ) :
obj = str .__new__ ( cls, data)
obj.infix = bool ( infix)
return obj
def __repr__ ( self ) :
return self
class Constant ( StructMixIn) :
def __init__ ( self , value) :
super ( ) .__init__ ( )
self .value = value
def __repr__ ( self ) :
return repr ( self .value )
class Internal ( Constant) :
pass
# In all comments below, `R` and `Q` are infix links, while lowercase letters
# are arbitrary expressions.
has_priority = ( lambda f: lambda a, b: f( a) [ 0 ] > f( b) [ 1 ] ) ( lambda m, g= {
# `a R b Q c` <=> `a R (b Q c)` if left binding strength of `Q`
# is higher than right binding strength of `R`.
'' : ( -2 , -2 ) , # call with an argument
'^' : ( -3 , -4 ) , # exponentiation
'*' : ( -5 , -5 ) , # multiplication
'/' : ( -5 , -5 ) , # fp division
'//' : ( -5 , -5 ) , # int division
'%' : ( -5 , -5 ) , # modulus
'+' : ( -6 , -6 ) , # addition
'-' : ( -6 , -6 ) , # subtraction
} .get : g( m, ( -7 , -7 ) ) ) # Default
# If `unassoc(R)`: `a R b R c` <=> `Expression [ Link R, Link a, Link b, Link c]`
# Otherwise: `a R b R c` <=> `Expression [ Link R, Expression [...], Link c]`
# (This doesn't apply to right-fixed links.)
unassoc = { ',' , '..' , '::' , '' , '\n ' } .__contains__
# These operators have no right-hand statement part in any case.
unary = { '!' } .__contains__
# infixl :: (State, StructMixIn, Link, StructMixIn) -> StructMixIn
#
# Handle an infix expression given its all three parts.
#
# If that particular expression has no right-hand statement part,
# `rhs` will be pushed to the object queue.
#
def infixl( stream, lhs, op, rhs) :
break_ = False
postfixl = lambda : ( lhs if op in '\n ' else infixl_insert_rhs( lhs, op, None ) )
while rhs == '\n ' and not unary( op) :
break_, rhs = rhs, next( stream)
if isinstance ( rhs, Internal) or unary( op) : # `(a R)`
stream.appendleft ( rhs)
return postfixl( )
if break_ and op == '' and rhs.indented :
# a
# b <=> a b (c d)
# c d
return reduce (
lambda lhs, rhs: infixl_insert_rhs( lhs, op, rhs) ,
rhs[ 1 :] if isinstance ( rhs, Expression) and rhs[ 0 ] == '\n ' else [ rhs] , lhs
)
if break_ and op != '\n ' and not rhs.indented : # `a R`
return infixl( stream, postfixl( ) , break_, rhs)
if not rhs.closed and rhs.infix and ( op == '' or has_priority( op, rhs) ) :
# `a R Q b` <=> `(a R) Q b` if R is prioritized over Q or R is empty.
return infixl( stream, postfixl( ) , rhs, next( stream) )
return infixl_insert_rhs( lhs, op, rhs)
# infixl_insert_rhs :: (StructMixIn, Link, StructMixIn) -> StructMixIn
#
# Recursively descends into `root` if infix precedence rules allow it to,
# otherwise simply creates and returns a new infix expression AST node.
#
def infixl_insert_rhs( root, op, rhs) :
if isinstance ( root, Expression) and not root.closed :
if has_priority( op, root[ 0 ] ) :
# `a R b Q c` <=> `a R (b Q c)` if Q is prioritized over R
root.append ( infixl_insert_rhs( root.pop ( ) , op, rhs) )
return root
elif op == root[ 0 ] and unassoc( op) and rhs is not None :
root.append ( rhs) # `a R b R c` <=> `R a b c`
return root
# `R` <=> `Link R`
# `R rhs` <=> `Expression [ Link '', Link R, Link rhs ]`
# `lhs R` <=> `Expression [ Link R, Link lhs ]`
# `lhs R rhs` <=> `Expression [ Link R, Link lhs, Link rhs ]`
e = Expression( [ op, root] if rhs is None else [ op, root, rhs] )
e.closed = rhs is None
e.location = Location(
root.location .start ,
e[ -( not e.closed ) ] .location .end ,
root.location .filename ,
root.location .first_line
)
return e
def indent( stream, token ) :
indent = len ( token .group ( ) )
if indent > stream.indent [ -1 ] :
stream.indent .append ( indent)
block = do( stream, token , { '' } , preserve_close_state= True )
block.indented = True
return block
while indent != stream.indent [ -1 ] :
stream.indent .pop ( ) < 0 and stream.error ( 'no matching indentation level' , token .start ( ) )
stream.appendleft ( Link( '\n ' , True ) .at ( stream, token .end ( ) ) )
stream.appendleft ( Internal( '' ) .at ( stream, token .end ( ) ) )
def whitespace( stream, token ) : pass
def number( stream, token ) :
return Constant( literal_eval( token .group ( ) ) )
def string ( stream, token ) :
g = token .group ( 2 ) * ( 4 - len ( token .group ( 2 ) ) )
q = '' .join ( sorted ( set ( token .group ( 1 ) ) ) )
return Constant( literal_eval( '' .join ( [ q, g, token .group ( 3 ) , g] ) ) )
def link( stream, token , infixn= { 'if' , 'else' , 'or' , 'and' , 'in' , 'is' , 'where' } ) :
infix = token .group ( 2 ) or token .group ( 3 ) or token .group ( 4 )
return Link( infix or token .group ( ) , infix or ( token .group ( ) in infixn) )
def do( stream, token , ends= { ')' } , preserve_close_state= False ) :
object = Constant( None ) .at ( stream, token .end ( ) )
can_join = False
for item in stream:
if isinstance ( item, Internal) :
item.value in ends or stream.error (
'unexpected block delimiter' if item.value else
'unexpected EOF' if stream.offset >= len ( stream.buffer ) else
'unexpected dedent' , item.location .start [ 0 ]
)
break
elif can_join:
# Two objects in a row should be joined with an empty infix link.
object = infixl( stream, object , Link( '' , True ) .after ( object ) , item)
# Ignore line feeds directly following an opening parentheses.
elif item != '\n ' :
object , can_join = item, True
object .closed |= not preserve_close_state
return object
def end( stream, token ) :
return Internal( token .group ( ) )
def string_err( stream, token ) :
stream.error ( 'unexpected EOF while reading a string literal' , token .start ( ) )
def error( stream, token ) :
stream.error ( 'invalid input' , token .start ( ) )
def R( func, expr) :
return func, compile ( expr) .match
class it ( Iterator, deque) :
tokens = [ R( indent, r' *' ) ] , [
R( whitespace, r'[^\S \n ]+|\s *#.*' )
, R( number, r'(?i)[+-]?(?:0b[0-1]+|0o[0-7]+|0x[0-9a-f]+|\d +(?:\. \d +)?(?:e[+-]?\d +)?j?)' )
, R( string , r'(?s)([br]*)(\' \' \' |"""|"|\' )((?:\\ ?.)*?)\2 ' )
, R( link, r"(\w +'*|\* +(?=:)|([!$%&*+\- -/:<-@\\ ^|~;]+|,+))|\s *(\n )|`(\w +'*)`" )
, R( do, r'\( ' )
, R( end, r'\) |$' )
, R( string_err, r'''['"]''' )
, R( error, r'.' )
]
def __new__ ( cls, data, filename= '<string>' ) :
self = super ( it, cls) .__new__ ( cls)
self .filename = filename
self .buffer = data
self .offset = 0
self .indent = deque( [ -1 ] )
self .nextset = self .tokens [ 0 ]
return next( self )
def __next__( self ) :
while not self :
f, match = next( ( f, match)
for f, re in self .nextset
for match in [ re ( self .buffer , self .offset ) ] if match
)
self .offset = match.end ( )
self .nextset = self .tokens [ not match.group ( ) .endswith ( '\n ' ) ]
q = f( self , match)
if q is not None :
return q.at ( self , match.start ( ) )
return self .popleft ( )
# position :: int -> (int, int, int)
#
# Given a character offset, get an (offset, lineno, charno) triple.
#
def position( self , offset) :
return ( offset,
1 + self .buffer .count ( '\n ' , 0 , offset) ,
offset - self .buffer .rfind ( '\n ' , 0 , offset) )
# error :: (str, int) -> _|_
#
# Raise a `SyntaxError` at a given offset.
#
def error( self , description, at) :
_, lineno, charno = self .position ( at)
raise SyntaxError ( description, ( self .filename , lineno, charno, self .line ( at) ) )
# line :: int -> str
#
# Get a line which contains the character at a given offset.
#
def line( self , offset) :
return self .buffer [
self .buffer .rfind ( '\n ' , 0 , offset) + 1 or None :
self .buffer . find ( '\n ' , offset) + 1 or None
]
##########################
import fractions as fr
import operator as op
ns = { '' : lambda f, *xs: f( *xs) , '^' : op.pow , '*' : op.mul , '/' : fr.Fraction , '//' : op.truediv , '%' : op.mod , '+' : op.add , '-' : op.sub }
def eval ( x) :
if isinstance ( x, Link) : return ns[ x]
if isinstance ( x, Constant) : return x.value
if isinstance ( x, Expression) : return call( *x)
raise TypeError ( 'invalid AST node' , x)
def call( f, *args, rightbind= False ) :
return f if not args else call( *args, rightbind= True ) if f.infix and f == '' \
else ( lambda x: eval ( f) ( x, *map ( eval , args) ) ) if f.infix and not f.closed and rightbind \
else ( lambda x: eval ( f) ( eval ( args[ 0 ] ) , x) ) if f.infix and not f.closed and len ( args) == 1 \
else eval ( f) ( *map ( eval , args) )
############################
import sys
while True :
try : print ( eval ( it( input ( '> ' ) ) ) )
except EOFError : raise SystemExit
except SystemExit : raise
except BaseException as e: sys .excepthook ( type ( e) , e, e.__traceback__)
from re          import compile
from ast         import literal_eval
from functools   import reduce
from collections import Iterator, deque, namedtuple

Location = namedtuple('Location', 'start, end, filename, first_line')


class StructMixIn:

    infix       = False
    closed      = False
    indented    = False

    def after(self, other):

        self.location = Location(
            other.location.end,
            other.location.end,
            other.location.filename,
            other.location.first_line
        )
        return self

    def at(self, stream, start):

        self.location = Location(
            stream.position(start),
            stream.position(stream.offset),
            stream.filename,
            stream.line(start)
        )
        return self


class Expression (list, StructMixIn):

    def __repr__(self):

        return ('({})' if self.closed else '{}').format(
            ' '.join(map(repr, self[1:])) if self[0] == '' else
            '{1}{0}{2}'  .format(*self) if len(self) == 3 and self[0] == '.' else
            '{1} {0} {2}'.format(*self) if len(self) == 3 else
            '{1} {0}'    .format(*self) if len(self) == 2 else
            '({}) {}'.format(self[0], ' '.join(map(repr, self[1:])))
        )


class Link (str, StructMixIn):

    def __new__(cls, data, infix=False):

        obj = str.__new__(cls, data)
        obj.infix = bool(infix)
        return obj

    def __repr__(self):

        return self


class Constant (StructMixIn):

    def __init__(self, value):

        super().__init__()
        self.value = value

    def __repr__(self):

        return repr(self.value)


class Internal (Constant):

    pass

# In all comments below, `R` and `Q` are infix links, while lowercase letters
# are arbitrary expressions.
has_priority = (lambda f: lambda a, b: f(a)[0] > f(b)[1])(lambda m, g={
    # `a R b Q c` <=> `a R (b Q c)` if left binding strength of `Q`
    # is higher than right binding strength of `R`.
    '':      (-2,  -2),   # call with an argument
    '^':     (-3,  -4),   # exponentiation
    '*':     (-5,  -5),   # multiplication
    '/':     (-5,  -5),   # fp division
    '//':    (-5,  -5),   # int division
    '%':     (-5,  -5),   # modulus
    '+':     (-6,  -6),   # addition
    '-':     (-6,  -6),   # subtraction
}.get: g(m, (-7, -7)))  # Default


# If `unassoc(R)`: `a R b R c` <=> `Expression [ Link R, Link a, Link b, Link c]`
# Otherwise:       `a R b R c` <=> `Expression [ Link R, Expression [...], Link c]`
# (This doesn't apply to right-fixed links.)
unassoc = {',', '..', '::', '', '\n'}.__contains__

# These operators have no right-hand statement part in any case.
unary = {'!'}.__contains__


# infixl :: (State, StructMixIn, Link, StructMixIn) -> StructMixIn
#
# Handle an infix expression given its all three parts.
#
# If that particular expression has no right-hand statement part,
# `rhs` will be pushed to the object queue.
#
def infixl(stream, lhs, op, rhs):

    break_   = False
    postfixl = lambda: (lhs if op in '\n ' else infixl_insert_rhs(lhs, op, None))

    while rhs == '\n' and not unary(op):

        break_, rhs = rhs, next(stream)

    if isinstance(rhs, Internal) or unary(op):  # `(a R)`

        stream.appendleft(rhs)
        return postfixl()

    if break_ and op == '' and rhs.indented:

        # a
        #   b         <=>  a b (c d)
        #   c d
        return reduce(
            lambda lhs, rhs: infixl_insert_rhs(lhs, op, rhs),
            rhs[1:] if isinstance(rhs, Expression) and rhs[0] == '\n' else [rhs], lhs
        )

    if break_ and op != '\n' and not rhs.indented:  # `a R`

        return infixl(stream, postfixl(), break_, rhs)

    if not rhs.closed and rhs.infix and (op == '' or has_priority(op, rhs)):

        # `a R Q b` <=> `(a R) Q b` if R is prioritized over Q or R is empty.
        return infixl(stream, postfixl(), rhs, next(stream))

    return infixl_insert_rhs(lhs, op, rhs)


# infixl_insert_rhs :: (StructMixIn, Link, StructMixIn) -> StructMixIn
#
# Recursively descends into `root` if infix precedence rules allow it to,
# otherwise simply creates and returns a new infix expression AST node.
#
def infixl_insert_rhs(root, op, rhs):

    if isinstance(root, Expression) and not root.closed:

        if has_priority(op, root[0]):

            # `a R b Q c` <=> `a R (b Q c)` if Q is prioritized over R
            root.append(infixl_insert_rhs(root.pop(), op, rhs))
            return root

        elif op == root[0] and unassoc(op) and rhs is not None:

            root.append(rhs)  # `a R b R c` <=> `R a b c`
            return root

    # `R`         <=> `Link R`
    # `R rhs`     <=> `Expression [ Link '', Link R, Link rhs ]`
    # `lhs R`     <=> `Expression [ Link R, Link lhs ]`
    # `lhs R rhs` <=> `Expression [ Link R, Link lhs, Link rhs ]`
    e = Expression([op, root] if rhs is None else [op, root, rhs])
    e.closed = rhs is None
    e.location = Location(
        root.location.start,
        e[-(not e.closed)].location.end,
        root.location.filename,
        root.location.first_line
    )
    return e


def indent(stream, token):

    indent = len(token.group())

    if indent > stream.indent[-1]:

        stream.indent.append(indent)
        block = do(stream, token, {''}, preserve_close_state=True)
        block.indented = True
        return block

    while indent != stream.indent[-1]:

        stream.indent.pop() < 0 and stream.error('no matching indentation level', token.start())
        stream.appendleft(Link('\n', True).at(stream, token.end()))
        stream.appendleft(Internal('').at(stream, token.end()))


def whitespace(stream, token): pass


def number(stream, token):

    return Constant(literal_eval(token.group()))


def string(stream, token):

    g = token.group(2) * (4 - len(token.group(2)))
    q = ''.join(sorted(set(token.group(1))))
    return Constant(literal_eval(''.join([q, g, token.group(3), g])))


def link(stream, token, infixn={'if', 'else', 'or', 'and', 'in', 'is', 'where'}):

    infix = token.group(2) or token.group(3) or token.group(4)
    return Link(infix or token.group(), infix or (token.group() in infixn))


def do(stream, token, ends={')'}, preserve_close_state=False):

    object   = Constant(None).at(stream, token.end())
    can_join = False

    for item in stream:

        if isinstance(item, Internal):

            item.value in ends or stream.error(
              'unexpected block delimiter' if item.value else
              'unexpected EOF'             if stream.offset >= len(stream.buffer) else
              'unexpected dedent', item.location.start[0]
            )

            break

        elif can_join:

            # Two objects in a row should be joined with an empty infix link.
            object = infixl(stream, object, Link('', True).after(object), item)

        # Ignore line feeds directly following an opening parentheses.
        elif item != '\n':

            object, can_join = item, True

    object.closed |= not preserve_close_state
    return object


def end(stream, token):

    return Internal(token.group())


def string_err(stream, token):

    stream.error('unexpected EOF while reading a string literal', token.start())


def error(stream, token):

    stream.error('invalid input', token.start())


def R(func, expr):

    return func, compile(expr).match


class it (Iterator, deque):

    tokens = [R(indent, r' *')], [
        R(whitespace, r'[^\S\n]+|\s*#.*')
      , R(number,     r'(?i)[+-]?(?:0b[0-1]+|0o[0-7]+|0x[0-9a-f]+|\d+(?:\.\d+)?(?:e[+-]?\d+)?j?)')
      , R(string,     r'(?s)([br]*)(\'\'\'|"""|"|\')((?:\\?.)*?)\2')
      , R(link,       r"(\w+'*|\*+(?=:)|([!$%&*+\--/:<-@\\^|~;]+|,+))|\s*(\n)|`(\w+'*)`")
      , R(do,         r'\(')
      , R(end,        r'\)|$')
      , R(string_err, r'''['"]''')
      , R(error,      r'.')
    ]

    def __new__(cls, data, filename='<string>'):

        self = super(it, cls).__new__(cls)
        self.filename = filename
        self.buffer   = data
        self.offset   = 0
        self.indent   = deque([-1])
        self.nextset  = self.tokens[0]
        return next(self)

    def __next__(self):

        while not self:

            f, match = next((f, match)
                for f, re in self.nextset
                for match in [re(self.buffer, self.offset)] if match
            )
            self.offset  = match.end()
            self.nextset = self.tokens[not match.group().endswith('\n')]
            q = f(self, match)

            if q is not None:

                return q.at(self, match.start())

        return self.popleft()

    # position :: int -> (int, int, int)
    #
    # Given a character offset, get an (offset, lineno, charno) triple.
    #
    def position(self, offset):

        return (offset,
            1      + self.buffer.count('\n', 0, offset),
            offset - self.buffer.rfind('\n', 0, offset))

    # error :: (str, int) -> _|_
    #
    # Raise a `SyntaxError` at a given offset.
    #
    def error(self, description, at):

        _, lineno, charno = self.position(at)
        raise SyntaxError(description, (self.filename, lineno, charno, self.line(at)))

    # line :: int -> str
    #
    # Get a line which contains the character at a given offset.
    #
    def line(self, offset):

        return self.buffer[
            self.buffer.rfind('\n', 0, offset) + 1 or None:
            self.buffer. find('\n',    offset) + 1 or None
        ]

##########################

import fractions as fr
import operator  as op

ns = {'': lambda f, *xs: f(*xs), '^': op.pow, '*': op.mul, '/': fr.Fraction, '//': op.truediv, '%': op.mod, '+': op.add, '-': op.sub}


def eval(x):
    if isinstance(x, Link):       return ns[x]
    if isinstance(x, Constant):   return x.value
    if isinstance(x, Expression): return call(*x)
    raise TypeError('invalid AST node', x)


def call(f, *args, rightbind=False):
    return f if not args else call(*args, rightbind=True) if f.infix and f == '' \
      else (lambda x: eval(f)(x, *map(eval, args))) if f.infix and not f.closed and rightbind      \
      else (lambda x: eval(f)(eval(args[0]), x)   ) if f.infix and not f.closed and len(args) == 1 \
      else eval(f)(*map(eval, args))


############################

import sys

while True:
    try: print(eval(it(input('> '))))
    except EOFError:   raise SystemExit
    except SystemExit: raise
    except BaseException as e: sys.excepthook(type(e), e, e.__traceback__)