def test3():
c1 = Curve({0: 1, 5: 10, 10: 3})
c2 = Curve({0: 8, 5: 3, 10: 1})
c3 = Curve({0: 2, 5: 9, 10: 4})
curves = {"1": c1, "2": c2, "3": c3}
DAG1 = get_extremalDAG(curves)
assert (DAG1 == ([('1', 'min'), ('1', 'max'), ('1', 'min'), ('2', 'max'),
('2', 'min'), ('3', 'min'), ('3', 'max'),
('3', 'min')], [(0, 4.5), (1, 4.5), (2, 3.5), (3, 3.5),
(4, 3.5), (5, 3.5), (6, 3.5),
(7, 2.5)], [((0, 1), 4.5), ((0, 2), 3.5),
((0, 4), 0), ((0, 6), 0),
((0, 7), 0), ((1, 2), 3.5),
((1, 4), 0), ((1, 7), 0),
((3, 1), 0), ((3, 2), 0),
((3, 4), 3.5), ((3, 6), 0),
((3, 7), 0), ((5, 1), 0),
((5, 2), 0), ((5, 4), 0),
((5, 6), 3.5), ((5, 7), 2.5),
((6, 2), 0), ((6, 4), 0),
((6, 7), 2.5)]))
c1 = Curve({0: 1, 5: 7, 9: 1, 10: 2})
c2 = Curve({0: 10, 5: 2, 10: 0})
c3 = Curve({0: 2.5, 5: 9, 10: 4})
curves = {"1": c1, "2": c2, "3": c3}
DAG2 = get_extremalDAG(curves)
assert (DAG2 == ([('1', 'min'), ('1', 'max'), ('1', 'min'), ('1', 'max'),
('2', 'max'), ('2', 'min'), ('3', 'min'), ('3', 'max'),
('3', 'min')], [(0, 3.0), (1, 3.0), (2, 3.0), (3, 0.5),
(4, 5.0), (5, 5.0), (6, 3.25), (7, 3.25),
(8, 2.5)], [((0, 1), 3.0), ((0, 2), 3.0),
((0, 3), 0.5), ((0, 5), 0),
((0, 7), 0), ((0, 8), 0),
((1, 2), 3.0), ((1, 3), 0.5),
((1, 5), 0), ((1, 8), 0),
((2, 3), 0.5), ((2, 5), 0),
((2, 8), 0), ((4, 1), 0),
((4, 2), 0), ((4, 3), 0.5),
((4, 5), 5.0), ((4, 7), 0),
((4, 8), 0), ((6, 1), 0),
((6, 2), 0), ((6, 3), 0.5),
((6, 5), 0), ((6, 7), 3.25),
((6, 8), 2.5), ((7, 2), 0),
((7, 3), 0), ((7, 5), 0),
((7, 8), 2.5)]))
names = ['1', '2', '3']
supergraph = get_supergraph(names, DAG1, DAG2)
assert (supergraph == ([
(('1', 'min'), (4.5, 3.0)), (('1', 'max'), (4.5, 3.0)),
(('1', 'min'), (3.5, 3.0)), (('1', 'max'), (0, 0.5)),
(('2', 'max'), (3.5, 5.0)), (('2', 'min'), (3.5, 5.0)),
(('3', 'min'), (3.5, 3.25)), (('3', 'max'), (3.5, 3.25)),
(('3', 'min'), (2.5, 2.5))
], [((0, 1), (4.5, 3.0)), ((0, 2), (3.5, 3.0)), ((0, 3), (0, 0.5)),
((1, 2), (3.5, 3.0)), ((1, 3), (0, 0.5)), ((2, 3), (0, 0.5)),
((4, 3), (0, 0.5)), ((4, 5), (3.5, 5.0)), ((6, 3), (0, 0.5)),
((6, 7), (3.5, 3.25)), ((6, 8), (2.5, 2.5)),
((7, 8), (2.5, 2.5))], 3.992179855667828))
def test2():
c1 = Curve({0: 0, 1: 2, 4: 5, 5: 1, 7: 10, 10: 7})
c2 = Curve({0: 0, 3: 2, 6: 4, 10: 5})
curves = {"1": c1, "2": c2}
DAG1 = get_extremalDAG(curves)
assert (DAG1 == ([('1', 'min'), ('1', 'max'), ('1', 'min'), ('1', 'max'),
('1', 'min'), ('2', 'min'),
('2', 'max')], [(0, 5.0), (1, 2.0), (2, 2.0), (3, 5.0),
(4, 1.5), (5, 2.5),
(6, 2.5)], [((0, 1), 2.0), ((0, 2), 2.0),
((0, 3), 5.0), ((0, 4), 1.5),
((0, 6), 1.0), ((1, 2), 2.0),
((1, 3), 2.0), ((1, 4), 1.5),
((1, 6), 0.5), ((2, 3), 2.0),
((2, 4), 1.5), ((2, 6), 0),
((3, 4), 1.5), ((3, 6), 0),
((5, 1), 0), ((5, 2), 1.0),
((5, 3), 1.0), ((5, 4), 1.5),
((5, 6), 2.5)]))
c1 = Curve({0: .5, 7: 9, 10: 6})
c2 = Curve({0: 0, 3: 2, 6: 4, 10: 5})
curves = {"1": c1, "2": c2}
DAG2 = get_extremalDAG(curves)
assert (DAG2 == ([('1', 'min'), ('1', 'max'), ('1', 'min'), ('2', 'min'),
('2', 'max')], [(0, 4.25), (1, 4.25), (2, 1.5), (3, 2.5),
(4, 2.5)], [((0, 1), 4.25),
((0, 2), 1.5), ((0, 4), 0),
((1, 2), 1.5), ((1, 4), 0),
((3, 1), 0), ((3, 2), 1.5),
((3, 4), 2.5)]))
names = ['1', '2']
supergraph = get_supergraph(names, DAG1, DAG2)
supergraph_round = (supergraph[0], supergraph[1], round(supergraph[2], 8))
assert (supergraph_round == ([(('1', 'min'), (5.0, 4.25)),
(('1', 'max'), (2.0, 0)),
(('1', 'min'), (2.0, 0)),
(('1', 'max'), (5.0, 4.25)),
(('1', 'min'), (1.5, 1.5)),
(('2', 'min'), (2.5, 2.5)),
(('2', 'max'), (2.5, 2.5))
], [((0, 1), (2.0, 0)), ((0, 2), (2.0, 0)),
((0, 3), (5.0, 4.25)),
((0, 4), (1.5, 1.5)), ((0, 6), (1.0, 0)),
((1, 2), (2.0, 0)), ((1, 3), (2.0, 0)),
((1, 4), (1.5, 0)), ((1, 6), (0.5, 0)),
((2, 3), (2.0, 0)), ((2, 4), (1.5, 0)),
((3, 4), (1.5, 1.5)), ((5, 2), (1.0, 0)),
((5, 3), (1.0, 0)), ((5, 4), (1.5, 1.5)),
((5, 6), (2.5, 2.5))], 22.75))
def test1():
c1 = Curve({0: 1, 5: 10, 10: 3})
c2 = Curve({0: 8, 5: 3, 10: 1})
curves = {"1": c1, "2": c2}
DAG1 = get_extremalDAG(curves)
assert (DAG1 == ([('1', 'min'), ('1', 'max'), ('1', 'min'), ('2', 'max'),
('2', 'min')], [(0, 4.5), (1, 4.5), (2, 3.5), (3, 3.5),
(4, 3.5)], [((0, 1), 4.5), ((0, 2), 3.5),
((0, 4), 0), ((1, 2), 3.5),
((1, 4), 0), ((3, 1), 0),
((3, 2), 0), ((3, 4), 3.5)]))
c1 = Curve({0: 1, 5: 7, 9: 1, 10: 2})
c2 = Curve({0: 10, 5: 2, 10: 0})
curves = {"1": c1, "2": c2}
DAG2 = get_extremalDAG(curves)
assert (DAG2 == ([('1', 'min'), ('1', 'max'), ('1', 'min'), ('1', 'max'),
('2', 'max'),
('2', 'min')], [(0, 3.0), (1, 3.0), (2, 3.0), (3, 0.5),
(4, 5.0), (5, 5.0)], [((0, 1), 3.0),
((0, 2), 3.0),
((0, 3), 0.5),
((0, 5), 0),
((1, 2), 3.0),
((1, 3), 0.5),
((1, 5), 0),
((2, 3), 0.5),
((2, 5), 0),
((4, 1), 0),
((4, 2), 0),
((4, 3), 0.5),
((4, 5), 5.0)]))
names = ['1', '2']
supergraph = get_supergraph(names, DAG1, DAG2)
supergraph_round = (supergraph[0], supergraph[1], round(supergraph[2], 8))
assert (supergraph_round == ([(('1', 'min'), (4.5, 3.0)),
(('1', 'max'), (4.5, 3.0)),
(('1', 'min'), (3.5, 3.0)),
(('1', 'max'), (0, 0.5)),
(('2', 'max'), (3.5, 5.0)),
(('2', 'min'),
(3.5, 5.0))], [((0, 1), (4.5, 3.0)),
((0, 2), (3.5, 3.0)),
((0, 3), (0, 0.5)),
((1, 2), (3.5, 3.0)),
((1, 3), (0, 0.5)),
((2, 3), (0, 0.5)),
((4, 3), (0, 0.5)),
((4, 5), (3.5, 5.0))], 13.0))
def test4():
x = np.arange(0, 2 * np.pi, 0.1) # start,stop,step
y = np.sin(x)
z = np.cos(x)
c1 = Curve({x[i]: y[i] for i in range(len(x))})
c2 = Curve({x[i]: z[i] for i in range(len(y))})
curves = {"sine": c1, "cosine": c2}
DAG1 = get_extremalDAG(curves)
DAG1_nodes_round = [(DAG1[1][i][0], round(DAG1[1][i][1], 8))
for i in range(len(DAG1[1]))]
DAG1_edges_round = [(DAG1[2][i][0], round(DAG1[2][i][1], 8))
for i in range(len(DAG1[2]))]
DAG1_round = (DAG1[0], DAG1_nodes_round, DAG1_edges_round)
assert (DAG1_round == ([('sine', 'min'), ('sine', 'max'), ('sine', 'min'),
('sine', 'max'), ('cosine', 'max'),
('cosine', 'min'), ('cosine', 'max')],
[(0, 0.4997868), (1, 0.99974843), (2, 0.99974843),
(3, 0.45841693), (4, 0.99956758), (5, 0.99956758),
(6, 0.99783862)], [((0, 1), 0.4997868),
((0, 2), 0.4997868),
((0, 3), 0.45841693),
((0, 5), 0.49272486),
((0, 6), 0.4997868),
((1, 2), 0.99974843),
((1, 3), 0.45841693),
((1, 5), 0.1269342),
((1, 6), 0.82509286),
((2, 3), 0.45841693),
((2, 6), 0.11357939),
((4, 1), 0.11757891),
((4, 2), 0.83313801),
((4, 3), 0.45841693),
((4, 5), 0.99956758),
((4, 6), 0.99783862),
((5, 2), 0.12156038),
((5, 3), 0.4565376),
((5, 6), 0.99783862)]))
# Adding small noise to curves
c1.curve[6.0] = 0
c2.curve[0.4] = 1
curves = {"sine": c1, "cosine": c2}
DAG2 = get_extremalDAG(curves)
DAG2_nodes_round = [(DAG2[1][i][0], round(DAG2[1][i][1], 8))
for i in range(len(DAG2[1]))]
DAG2_edges_round = [(DAG2[2][i][0], round(DAG2[2][i][1], 8))
for i in range(len(DAG2[2]))]
DAG2_round = (DAG2[0], DAG2_nodes_round, DAG2_edges_round)
assert (DAG2_round == ([('sine', 'min'), ('sine', 'max'), ('sine', 'min'),
('sine', 'max'), ('sine', 'min'), ('sine', 'max'),
('cosine', 'max'), ('cosine', 'min'),
('cosine', 'max'), ('cosine', 'min'),
('cosine', 'max')], [(0, 0.4997868),
(1, 0.99974843),
(2, 0.99974843),
(3, 0.49996163),
(4, 0.09108125),
(5, 0.04953655),
(6, 0.99956758),
(7, 0.02233176),
(8, 0.02233176),
(9, 0.99956758),
(10, 0.99783862)],
[((0, 1), 0.4997868), ((0, 2), 0.4997868),
((0, 3), 0.4997868), ((0, 4), 0.09108125),
((0, 5), 0.04953655), ((0, 7), 0.01236504),
((0, 8), 0.02233176), ((0, 9), 0.49272486),
((0, 10), 0.4997868), ((1, 2), 0.99974843),
((1, 3), 0.49996163), ((1, 4), 0.09108125),
((1, 5), 0.04953655), ((1, 9), 0.1269342),
((1, 10), 0.82509286), ((2, 3), 0.49996163),
((2, 4), 0.09108125), ((2, 5), 0.04953655),
((2, 10), 0.11357939), ((3, 4), 0.09108125),
((3, 5), 0.04953655), ((3, 10), 0),
((4, 5), 0.04953655), ((4, 10), 0),
((6, 1), 0.11757891), ((6, 2), 0.83313801),
((6, 3), 0.49996163), ((6, 4), 0.09108125),
((6, 5), 0.04953655), ((6, 7), 0.02233176),
((6, 8), 0.02233176), ((6, 9), 0.99956758),
((6, 10), 0.99783862), ((7, 1), 0.02233176),
((7, 2), 0.02233176), ((7, 3), 0.02233176),
((7, 4), 0.02233176), ((7, 5), 0.02233176),
((7, 8), 0.02233176), ((7, 9), 0.02233176),
((7, 10), 0.02233176), ((8, 1), 0.02233176),
((8, 2), 0.02233176), ((8, 3), 0.02233176),
((8, 4), 0.02233176), ((8, 5), 0.02233176),
((8, 9), 0.02233176), ((8, 10), 0.02233176),
((9, 2), 0.12156038), ((9, 3), 0.49337324),
((9, 4), 0.09108125), ((9, 5), 0.04953655),
((9, 10), 0.99783862)]))
names = ['sine', 'cosine']
supergraph = get_supergraph(names, DAG1, DAG2)
supergraph_round1 = [(supergraph[0][i][0], (round(supergraph[0][i][1][0],
8),
round(supergraph[0][i][1][1],
8)))
for i in range(len(supergraph[0]))]
supergraph_round2 = [(supergraph[1][i][0], (round(supergraph[1][i][1][0],
8),
round(supergraph[1][i][1][1],
8)))
for i in range(len(supergraph[1]))]
supergraph_round3 = round(supergraph[2], 8)
supergraph_round = (supergraph_round1, supergraph_round2,
supergraph_round3)
assert (supergraph_round == ([
(('sine', 'min'), (0.4997868, 0.4997868)),
(('sine', 'max'), (0.99974843, 0.99974843)),
(('sine', 'min'), (0.99974843, 0.99974843)),
(('sine', 'max'), (0.45841693, 0.49996163)),
(('sine', 'min'), (0, 0.09108125)), (('sine', 'max'), (0, 0.04953655)),
(('cosine', 'max'), (0.99956758, 0.99956758)),
(('cosine', 'min'), (0, 0.02233176)),
(('cosine', 'max'), (0, 0.02233176)),
(('cosine', 'min'), (0.99956758, 0.99956758)),
(('cosine', 'max'), (0.99783862, 0.99783862))
], [((0, 1), (0.4997868, 0.4997868)), ((0, 2), (0.4997868, 0.4997868)),
((0, 3), (0.45841693, 0.4997868)), ((0, 4), (0, 0.09108125)),
((0, 5), (0, 0.04953655)), ((0, 7), (0, 0.01236504)),
((0, 8), (0, 0.02233176)), ((0, 9), (0.49272486, 0.49272486)),
((0, 10), (0.4997868, 0.4997868)), ((1, 2), (0.99974843, 0.99974843)),
((1, 3), (0.45841693, 0.49996163)), ((1, 4), (0, 0.09108125)),
((1, 5), (0, 0.04953655)), ((1, 9), (0.1269342, 0.1269342)),
((1, 10), (0.82509286, 0.82509286)),
((2, 3), (0.45841693, 0.49996163)), ((2, 4), (0, 0.09108125)),
((2, 5), (0, 0.04953655)), ((2, 10), (0.11357939, 0.11357939)),
((3, 4), (0, 0.09108125)), ((3, 5), (0, 0.04953655)),
((4, 5), (0, 0.04953655)), ((6, 1), (0.11757891, 0.11757891)),
((6, 2), (0.83313801, 0.83313801)), ((6, 3), (0.45841693, 0.49996163)),
((6, 4), (0, 0.09108125)), ((6, 5), (0, 0.04953655)),
((6, 7), (0, 0.02233176)), ((6, 8), (0, 0.02233176)),
((6, 9), (0.99956758, 0.99956758)),
((6, 10), (0.99783862, 0.99783862)), ((7, 1), (0, 0.02233176)),
((7, 2), (0, 0.02233176)), ((7, 3), (0, 0.02233176)),
((7, 4), (0, 0.02233176)), ((7, 5), (0, 0.02233176)),
((7, 8), (0, 0.02233176)), ((7, 9), (0, 0.02233176)),
((7, 10), (0, 0.02233176)), ((8, 1), (0, 0.02233176)),
((8, 2), (0, 0.02233176)), ((8, 3), (0, 0.02233176)),
((8, 4), (0, 0.02233176)), ((8, 5), (0, 0.02233176)),
((8, 9), (0, 0.02233176)), ((8, 10), (0, 0.02233176)),
((9, 2), (0.12156038, 0.12156038)), ((9, 3), (0.4565376, 0.49337324)),
((9, 4), (0, 0.09108125)), ((9, 5), (0, 0.04953655)),
((9, 10), (0.99783862, 0.99783862))], 1.73724564))
def test4():
x = np.arange(0, 2 * np.pi, 0.1) # start,stop,step
y = np.sin(x)
z = np.cos(x)
c1 = Curve({x[i]: y[i] for i in range(len(x))})
c2 = Curve({x[i]: z[i] for i in range(len(y))})
curves = {"sine": c1, "cosine": c2}
DAG1 = get_extremalDAG(curves)
assert (DAG1 == ([('sine', 'min'), ('sine', 'max'), ('sine', 'min'),
('sine', 'max'), ('cosine', 'max'), ('cosine', 'min'),
('cosine', 'max')], [(0, 0.49978680152075255),
(1, 0.999748430302803),
(2, 0.999748430302803),
(3, 0.4584169273733022),
(4, 0.9995675751366397),
(5, 0.9995675751366397),
(6, 0.9978386236482485)
], [((0, 1), 0.49978680152075255),
((0, 2), 0.49978680152075255),
((0, 3), 0.4584169273733022),
((0, 5), 0.4927248649942301),
((0, 6), 0.49978680152075255),
((1, 2), 0.999748430302803),
((1, 3), 0.4584169273733022),
((1, 5), 0.12693419543239254),
((1, 6), 0.8250928589434148),
((2, 3), 0.4584169273733022),
((2, 6), 0.11357938500405684),
((4, 1), 0.11757890635775581),
((4, 2), 0.8331380106399122),
((4, 3), 0.4584169273733022),
((4, 5), 0.9995675751366397),
((4, 6), 0.9978386236482485),
((5, 2), 0.12156038112808631),
((5, 3), 0.45653760300917207),
((5, 6), 0.9978386236482485)]))
# Adding small noise to curves
c1.curve[6.0] = 0
c2.curve[0.4] = 1
curves = {"sine": c1, "cosine": c2}
DAG2 = get_extremalDAG(curves)
assert (DAG2 == ([('sine', 'min'), ('sine', 'max'), ('sine', 'min'),
('sine', 'max'), ('sine', 'min'), ('sine', 'max'),
('cosine', 'max'), ('cosine', 'min'), ('cosine', 'max'),
('cosine', 'min'), ('cosine', 'max')], [
(0, 0.49978680152075255), (1, 0.999748430302803),
(2, 0.999748430302803), (3, 0.4999616287820504),
(4, 0.09108125213604751), (5, 0.0495365507272993),
(6, 0.9995675751366397), (7, 0.02233175543719701),
(8, 0.02233175543719701), (9, 0.9995675751366397),
(10, 0.9978386236482485)
], [((0, 1), 0.49978680152075255),
((0, 2), 0.49978680152075255),
((0, 3), 0.49978680152075255),
((0, 4), 0.09108125213604751),
((0, 5), 0.0495365507272993),
((0, 7), 0.012365044357817823),
((0, 8), 0.02233175543719701),
((0, 9), 0.4927248649942301),
((0, 10), 0.49978680152075255),
((1, 2), 0.999748430302803),
((1, 3), 0.4999616287820504),
((1, 4), 0.09108125213604751),
((1, 5), 0.0495365507272993),
((1, 9), 0.12693419543239254),
((1, 10), 0.8250928589434148),
((2, 3), 0.4999616287820504),
((2, 4), 0.09108125213604751),
((2, 5), 0.0495365507272993),
((2, 10), 0.11357938500405684),
((3, 4), 0.09108125213604751),
((3, 5), 0.0495365507272993), ((3, 10), 0),
((4, 5), 0.0495365507272993), ((4, 10), 0),
((6, 1), 0.11757890635775581),
((6, 2), 0.8331380106399122),
((6, 3), 0.4999616287820504),
((6, 4), 0.09108125213604751),
((6, 5), 0.0495365507272993),
((6, 7), 0.02233175543719701),
((6, 8), 0.02233175543719701),
((6, 9), 0.9995675751366397),
((6, 10), 0.9978386236482485),
((7, 1), 0.02233175543719701),
((7, 2), 0.02233175543719701),
((7, 3), 0.02233175543719701),
((7, 4), 0.02233175543719701),
((7, 5), 0.02233175543719701),
((7, 8), 0.02233175543719701),
((7, 9), 0.02233175543719701),
((7, 10), 0.02233175543719701),
((8, 1), 0.02233175543719701),
((8, 2), 0.02233175543719701),
((8, 3), 0.02233175543719701),
((8, 4), 0.02233175543719701),
((8, 5), 0.02233175543719701),
((8, 9), 0.02233175543719701),
((8, 10), 0.02233175543719701),
((9, 2), 0.12156038112808631),
((9, 3), 0.49337324340519445),
((9, 4), 0.09108125213604751),
((9, 5), 0.0495365507272993),
((9, 10), 0.9978386236482485)]))
names = ['sine', 'cosine']
supergraph = get_supergraph(names, DAG1, DAG2)
assert (supergraph == ([
(('sine', 'min'), (0.49978680152075255, 0.49978680152075255)),
(('sine', 'max'), (0.999748430302803, 0.999748430302803)),
(('sine', 'min'), (0.999748430302803, 0.999748430302803)),
(('sine', 'max'), (0.4584169273733022, 0.4999616287820504)),
(('sine', 'min'), (0, 0.09108125213604751)),
(('sine', 'max'), (0, 0.0495365507272993)),
(('cosine', 'max'), (0.9995675751366397, 0.9995675751366397)),
(('cosine', 'min'), (0, 0.02233175543719701)),
(('cosine', 'max'), (0, 0.02233175543719701)),
(('cosine', 'min'), (0.9995675751366397, 0.9995675751366397)),
(('cosine', 'max'), (0.9978386236482485, 0.9978386236482485))
], [((0, 1), (0.49978680152075255, 0.49978680152075255)),
((0, 2), (0.49978680152075255, 0.49978680152075255)),
((0, 3), (0.4584169273733022, 0.49978680152075255)),
((0, 4), (0, 0.09108125213604751)), ((0, 5), (0, 0.0495365507272993)),
((0, 7), (0, 0.012365044357817823)),
((0, 8), (0, 0.02233175543719701)),
((0, 9), (0.4927248649942301, 0.4927248649942301)),
((0, 10), (0.49978680152075255, 0.49978680152075255)),
((1, 2), (0.999748430302803, 0.999748430302803)),
((1, 3), (0.4584169273733022, 0.4999616287820504)),
((1, 4), (0, 0.09108125213604751)), ((1, 5), (0, 0.0495365507272993)),
((1, 9), (0.12693419543239254, 0.12693419543239254)),
((1, 10), (0.8250928589434148, 0.8250928589434148)),
((2, 3), (0.4584169273733022, 0.4999616287820504)),
((2, 4), (0, 0.09108125213604751)), ((2, 5), (0, 0.0495365507272993)),
((2, 10), (0.11357938500405684, 0.11357938500405684)),
((3, 4), (0, 0.09108125213604751)), ((3, 5), (0, 0.0495365507272993)),
((4, 5), (0, 0.0495365507272993)),
((6, 1), (0.11757890635775581, 0.11757890635775581)),
((6, 2), (0.8331380106399122, 0.8331380106399122)),
((6, 3), (0.4584169273733022, 0.4999616287820504)),
((6, 4), (0, 0.09108125213604751)), ((6, 5), (0, 0.0495365507272993)),
((6, 7), (0, 0.02233175543719701)), ((6, 8), (0, 0.02233175543719701)),
((6, 9), (0.9995675751366397, 0.9995675751366397)),
((6, 10), (0.9978386236482485, 0.9978386236482485)),
((7, 1), (0, 0.02233175543719701)), ((7, 2), (0, 0.02233175543719701)),
((7, 3), (0, 0.02233175543719701)), ((7, 4), (0, 0.02233175543719701)),
((7, 5), (0, 0.02233175543719701)), ((7, 8), (0, 0.02233175543719701)),
((7, 9), (0, 0.02233175543719701)), ((7, 10), (0,
0.02233175543719701)),
((8, 1), (0, 0.02233175543719701)), ((8, 2), (0, 0.02233175543719701)),
((8, 3), (0, 0.02233175543719701)), ((8, 4), (0, 0.02233175543719701)),
((8, 5), (0, 0.02233175543719701)), ((8, 9), (0, 0.02233175543719701)),
((8, 10), (0, 0.02233175543719701)),
((9, 2), (0.12156038112808631, 0.12156038112808631)),
((9, 3), (0.45653760300917207, 0.49337324340519445)),
((9, 4), (0, 0.09108125213604751)), ((9, 5), (0, 0.0495365507272993)),
((9, 10), (0.9978386236482485, 0.9978386236482485))],
0.312731099172106))
