CoCalc Shared Filesresearch / posets / linear_extensions-1.sagews
Author: Fidel Barrera-Cruz
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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)
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:

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:

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

<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 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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 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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 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 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> <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 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 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...