linear_extensions-1.sagews

print 1+1
reset()
print 2+1

2 3

from copy import copy
from sage.combinat.combinat import CombinatorialClass


class LinearExtensions(CombinatorialClass):
    def __init__(self, dag):
        r"""
        Creates an object representing the class of all linear extensions
        of the directed acyclic graph \code{dag}.
        Note that upon construction of this object some pre-computation is
        done.  This is the "preprocessing routine" found in Figure 7 of
        "Generating Linear Extensions Fast" by Preusse and Ruskey.
        This is an in-place algorithm and the list self.le keeps track
        of the current linear extensions.  The boolean variable self.is_plus
        keeps track of the "sign".
        EXAMPLES::
            sage: from sage.graphs.linearextensions import LinearExtensions
            sage: D = DiGraph({ 0:[1,2], 1:[3], 2:[3,4] })
            sage: l = LinearExtensions(D)
            sage: l == loads(dumps(l))
            True
        """
        self.dag = dag
        self.incomparabilities = {}
        self._name = "Linear extensions of %s"%dag
        self.linear_extensions = None
        self.is_generating = False

    def switch(self, i):
        """
        This implements the Switch procedure described on page 7
        of "Generating Linear Extensions Fast" by Pruesse and Ruskey.
        If i == -1, then the sign is changed.  If i > 0, then self.a[i]
        and self.b[i] are transposed.
        Note that this meant to be called by the generate_linear_extensions
        method and is not meant to be used directly.
        EXAMPLES::
            sage: from sage.graphs.linearextensions import LinearExtensions
            sage: D = DiGraph({ 0:[1,2], 1:[3], 2:[3,4] })
            sage: l = LinearExtensions(D)
            sage: _ = l.list()
            sage: l.le = [0, 1, 2, 3, 4]
            sage: l.is_plus
            True
            sage: l.switch(-1)
            sage: l.is_plus
            False
            sage: l.a
            [1, 4]
            sage: l.b
            [2, 3]
            sage: l.switch(0)
            sage: l.le
            [0, 2, 1, 3, 4]
            sage: l.a
            [2, 4]
            sage: l.b
            [1, 3]
        """
        if i == -1:
            self.is_plus = not self.is_plus
        if i >= 0:
            a_index = self.le.index(self.a[i])
            b_index = self.le.index(self.b[i])
            self.le[a_index] = self.b[i]
            self.le[b_index] = self.a[i]

            self.b[i], self.a[i] = self.a[i], self.b[i]

    def move(self, element, direction):
        """
        This implements the Move procedure described on page 7
        of "Generating Linear Extensions Fast" by Pruesse and Ruskey.
        If direction is "left", then this transposes element with the
        element on its left.  If the direction is "right", then this
        transposes element with the element on its right.
        Note that this is meant to be called by the generate_linear_extensions
        method and is not meant to be used directly.
        EXAMPLES::
            sage: from sage.graphs.linearextensions import LinearExtensions
            sage: D = DiGraph({ 0:[1,2], 1:[3], 2:[3,4] })
            sage: l = LinearExtensions(D)
            sage: _ = l.list()
            sage: l.le = [0, 1, 2, 3, 4]
            sage: l.move(1, "left")
            sage: l.le
            [1, 0, 2, 3, 4]
            sage: l.move(1, "right")
            sage: l.le
            [0, 1, 2, 3, 4]
        """
        index = self.le.index(element)
        if direction == "right":
            self.le[index] = self.le[index+1]
            self.le[index+1] = element
        elif direction == "left":
            self.le[index] = self.le[index-1]
            self.le[index-1] = element
        else:
            raise ValueError("Bad direction!")

    def right(self, i, letter):
        """
        If letter =="b", then this returns True if and only if
        self.b[i] is incomparable with the elements to its right
        in self.le.  If letter == "a", then it returns True if
        and only if self.a[i] is incomparable with the element to its
        right in self.le and the element to the right is not
        self.b[i]
        This is the Right function described on page 8 of
        "Generating Linear Extensions Fast" by Pruesse and Ruskey.
        Note that this is meant to be called by the generate_linear_extensions
        method and is not meant to be used directly.
        EXAMPLES::
            sage: from sage.graphs.linearextensions import LinearExtensions
            sage: D = DiGraph({ 0:[1,2], 1:[3], 2:[3,4] })
            sage: l = LinearExtensions(D)
            sage: _ = l.list()
            sage: l.le
            [0, 1, 2, 4, 3]
            sage: l.a
            [1, 4]
            sage: l.b
            [2, 3]
            sage: l.right(0, "a")
            False
            sage: l.right(1, "a")
            False
            sage: l.right(0, "b")
            False
            sage: l.right(1, "b")
            False
        """
        if letter == "a":
            x = self.a[i]
            yindex = self.le.index(x) + 1
            if yindex >= len(self.le):
                return False
            y = self.le[ yindex ]
            if self.incomparable(x,y) and y != self.b[i]:
                return True
            return False
        elif letter == "b":
            x = self.b[i]
            yindex = self.le.index(x) + 1
            if yindex >= len(self.le):
                return False
            y = self.le[ yindex ]
            if self.incomparable(x,y):
                return True
            return False
        else:
            raise ValueError("Bad letter!")

    def generate_linear_extensions(self, i):
        """
        This a Python version of the GenLE routine found in Figure 8
        of "Generating Linear Extensions Fast" by Pruesse and Ruskey.
        Note that this is meant to be called by the list
        method and is not meant to be used directly.
        EXAMPLES::
            sage: from sage.graphs.linearextensions import LinearExtensions
            sage: D = DiGraph({ 0:[1,2], 1:[3], 2:[3,4] })
            sage: l = LinearExtensions(D)
            sage: l.linear_extensions = []
            sage: l.linear_extensions.append(l.le[:])
            sage: l.generate_linear_extensions(l.max_pair)
            sage: l.linear_extensions
            [[0, 1, 2, 3, 4], [0, 2, 1, 3, 4]]
        """
        if i >= 0:
            for le in self.generate_linear_extensions(i-1):
                yield le
            mrb = 0
            typical = False
            while self.right(i, "b"):
                mrb += 1
                self.move(self.b[i], "right")
                if self.is_plus:
                    yield self.le[:]
                for le in self.generate_linear_extensions(i-1):
                    yield le
                mra = 0
                if self.right(i, "a"):
                    typical = True
                    cont = True
                    while cont:
                        mra += 1
                        self.move(self.a[i], "right")
                        if self.is_plus:
                            yield self.le[:]
                        for le in self.generate_linear_extensions(i-1):
                            yield le
                        cont = self.right(i, "a")
                if typical:
                    self.switch(i-1)
                    if self.is_plus:
                        yield self.le[:]
                    for le in self.generate_linear_extensions(i-1):
                        yield le
                    if mrb % 2 == 1:
                        mla = mra -1
                    else:
                        mla = mra + 1
                    for x in range(mla):
                        self.move(self.a[i], "left")
                        if self.is_plus:
                            yield self.le[:]
                        for le in self.generate_linear_extensions(i-1):
                            yield le

            if typical and (mrb % 2 == 1):
                self.move(self.a[i], "left")
                if self.is_plus:
                    yield self.le[:]
            else:
                self.switch(i-1)
                if self.is_plus:
                    yield self.le[:]
            for le in self.generate_linear_extensions(i-1):
                yield le
            for x in range(mrb):
                self.move(self.b[i], "left")
                if self.is_plus:
                    yield self.le[:]
                for le in self.generate_linear_extensions(i-1):
                    yield le
    def iterative_linear_extensions(self):
        """
        This a Python version of the GenLE routine found in Figure 8
        of "Generating Linear Extensions Fast" by Pruesse and Ruskey.
        Note that this is meant to be called by the list
        method and is not meant to be used directly.
        EXAMPLES::
            sage: from sage.graphs.linearextensions import LinearExtensions
            sage: D = DiGraph({ 0:[1,2], 1:[3], 2:[3,4] })
            sage: l = LinearExtensions(D)
            sage: l.linear_extensions = []
            sage: l.linear_extensions.append(l.le[:])
            sage: l.generate_linear_extensions(l.max_pair)
            sage: l.linear_extensions
            [[0, 1, 2, 3, 4], [0, 2, 1, 3, 4]]
        """
        state_stack = [0]
        while len(state_stack)>0:
            curr_state = state_stack[-1]
            if i >= 0:
                #for le in self.generate_linear_extensions(i-1):
                #    yield le
                if curr_state==0:
                    i-=1
                    state_stack.append(0)
                    continue
                mrb = 0
                typical = False
                while self.right(i, "b"):
                    mrb += 1
                    self.move(self.b[i], "right")
                    if self.is_plus:
                        yield self.le[:]
                    #for le in self.generate_linear_extensions(i-1):
                    #    yield le
                    if curr_state==1:
                        i-=1
                        state_stack.append(1)
                    mra = 0
                    if self.right(i, "a"):
                        typical = True
                        cont = True
                        while cont:
                            mra += 1
                            self.move(self.a[i], "right")
                            if self.is_plus:
                                yield self.le[:]
                            for le in self.generate_linear_extensions(i-1):
                                yield le
                            cont = self.right(i, "a")
                    if typical:
                        self.switch(i-1)
                        if self.is_plus:
                            yield self.le[:]
                        for le in self.generate_linear_extensions(i-1):
                            yield le
                        if mrb % 2 == 1:
                            mla = mra -1
                        else:
                            mla = mra + 1
                        for x in range(mla):
                            self.move(self.a[i], "left")
                            if self.is_plus:
                                yield self.le[:]
                            for le in self.generate_linear_extensions(i-1):
                                yield le

                if typical and (mrb % 2 == 1):
                    self.move(self.a[i], "left")
                    if self.is_plus:
                        yield self.le[:]
                else:
                    self.switch(i-1)
                    if self.is_plus:
                        yield self.le[:]
                for le in self.generate_linear_extensions(i-1):
                    yield le
                for x in range(mrb):
                    self.move(self.b[i], "left")
                    if self.is_plus:
                        yield self.le[:]
                    for le in self.generate_linear_extensions(i-1):
                        yield le
            else:
                state_stack.pop()
                i+=1
    def list(self):
        """
        Returns a list of the linear extensions of the directed acyclic graph.
        Note that once they are computed, the linear extensions are
        cached in this object.
        EXAMPLES::
            sage: from sage.graphs.linearextensions import LinearExtensions
            sage: D = DiGraph({ 0:[1,2], 1:[3], 2:[3,4] })
            sage: LinearExtensions(D).list()
            [[0, 1, 2, 3, 4],
             [0, 1, 2, 4, 3],
             [0, 2, 1, 3, 4],
             [0, 2, 1, 4, 3],
             [0, 2, 4, 1, 3]]
        """
        if self.linear_extensions is None:
            self.linear_extensions = sorted(self.generate())
        return self.linear_extensions

    def precomputation(self):
        ################
        #Precomputation#
        ################
        dag_copy = copy(self.dag)
        le = []
        a  = []
        b  = []

        #The preprocessing routine found in Figure 7 of
        #"Generating Linear Extensions Fast" by
        #Pruesse and Ruskey
        while dag_copy.num_verts() != 0:
            #Find all the minimal elements of dag_copy
            minimial_elements = []
            for node in dag_copy.vertices():
                if len(dag_copy.incoming_edges(node)) == 0:
                    minimial_elements.append(node)
            if len(minimial_elements) == 1:
                le.append(minimial_elements[0])
                dag_copy.delete_vertex(minimial_elements[0])
            else:
                ap = minimial_elements[0]
                bp = minimial_elements[1]
                a.append(ap)
                b.append(bp)
                le.append(ap)
                le.append(bp)
                dag_copy.delete_vertex(ap)
                dag_copy.delete_vertex(bp)
        self.max_pair = len(a) - 1

        self.le = le
        self.a  = a
        self.b  = b

        self.mrb = 0
        self.mra = 0
        self.is_plus = True

    def generate(self):
        """
        Returns a generator of the linear extensions of the directed acyclic graph.
        EXAMPLES::
            sage: from sage.graphs.linearextensions import LinearExtensions
            sage: D = DiGraph({ 0:[1,2], 1:[3], 2:[3,4] })
            sage: LinearExtensions(D).list()
            [[0, 1, 2, 3, 4],
             [0, 1, 2, 4, 3],
             [0, 2, 1, 3, 4],
             [0, 2, 1, 4, 3],
             [0, 2, 4, 1, 3]]
        """
        # if self.is_generating:
#             raise Exception
#         self.is_generating=True
#        self.precomputation()
        yield self.le[:]

        for le in self.generate_linear_extensions(self.max_pair):
            yield le

        self.switch(self.max_pair)
        if self.is_plus:
            yield self.le[:]

        for le in self.generate_linear_extensions(self.max_pair):
            yield le
        # remaining_les = self.generate_linear_extensions(self.max_pair)
#
#         while True:
#             try:
#                 yield remaining_les.next()
#             except StopIteration:
#                 self.is_generating=False
#                 raise StopIteration
    def __iter__(self):
        self.precomputation()
        return self
    def next(self):
        for le in self.generate():
            return le
    def incomparable(self, x, y):
        """
        Returns True if vertices x and y are incomparable in the directed
        acyclic graph when thought of as a poset.
        EXAMPLES::
            sage: from sage.graphs.linearextensions import LinearExtensions
            sage: D = DiGraph({ 0:[1,2], 1:[3], 2:[3,4] })
            sage: l = LinearExtensions(D)
            sage: l.incomparable(0,1)
            False
            sage: l.incomparable(1,2)
            True
        """
        if (x,y) not in self.incomparabilities:
            self.incomparabilities[(x,y)] = (not self.dag.shortest_path(x, y)) and (not self.dag.shortest_path(y, x))
            self.incomparabilities[(y,x)] = self.incomparabilities[(x,y)]
        return self.incomparabilities[(x,y)]

P=Posets.BooleanLattice(3)

%time
old_les =[ list(le) for le in P.linear_extensions()]

CPU time: 0.01 s, Wall time: 0.08 s

d=P.hasse_diagram()

dles=LinearExtensions(d)

lei=dles.__iter__()

lei

Linear extensions of Digraph on 8 vertices

lei.next()

[0, 1, 2, 3, 4, 5, 6, 7]

%time
new_les.sort()

CPU time: 0.00 s, Wall time: 0.00 s

new_les==old_les

True

class CustomRange:
    def __init__(self,end):
        self.end = 10
    def __iter__(self):
        self.start = 0
        self.cur = 0
        return self
    def next(self):
        yield "Hello!"
        for val in self.generate():
            yield val
        yield "!olleH"
        for val in self.generateb():
            yield val
        yield "Done!"
    def generate(self):
        while self.cur < self.end:
            yield self.cur
            self.cur += 1

    def generateb(self):
        while self.cur >0:
            self.cur -= 1
            yield self.cur

for i,x in enumerate(CustomRange(5)):
    print x
    if i > 10:
        break

<generator object next at 0x7f3d41947f00> <generator object next at 0x7f3d41947fa0> <generator object next at 0x7f3d41947f50> <generator object next at 0x7f3d41947fa0> <generator object next at 0x7f3d41947f50> <generator object next at 0x7f3d41947fa0> <generator object next at 0x7f3d41947f50> <generator object next at 0x7f3d41947fa0> <generator object next at 0x7f3d41947f50> <generator object next at 0x7f3d41947fa0> <generator object next at 0x7f3d41947f50> <generator object next at 0x7f3d41947fa0>

C=CustomRange(5)

C

<__builtin__.CustomRange instance at 0x7f3d41bbfa70>

Ci=C.__iter__()

Ci

<__builtin__.CustomRange instance at 0x7f3d41bbfa70>

Ci.next()

<generator object next at 0x7f3d41947f00>

class Fib:
    def __init__(self, max):
        self.max = max

    def __iter__(self):
        self.a = 0
        self.b = 1
        return self
    def evens(self):
        return (i for i in range(self.max) if i%2==0)

    def odds(self):
        return (i for i in range(self.max) if i%2)

    def next(self):
        fib = self.a
        yield "Hello!"
        for e in self.evens():
            yield e
        yield "!olleH"
        for o in self.odds():
            yield o
        yield "Bye!"

for i in Fib(10):
    print i

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<generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 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object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> 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next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> 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object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 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next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d41901370> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460> <generator object next at 0x7f3d419013c0> <generator object next at 0x7f3d41901460>

Output too long: 150778 -- MAX_OUTPUT (=150000) exceeded (type 'smc?' to learn how to raise this limit): attempting to terminate...