941 KiB
941 KiB
High Order Fuzzy Time Series¶
Severiano, S. A. Jr; Silva, P. C. L.; Sadaei, H. J.; Guimarães, F. G. Very Short-term Solar Forecasting using Fuzzy Time Series. 2017 IEEE International Conference on Fuzzy Systems. DOI10.1109/FUZZ-IEEE.2017.8015732
Environment Setup¶
Library install/update¶
In [ ]:
!pip3 install -U git+https://github.com/petroniocandido/pyFTS
External libraries import¶
In [1]:
import warnings
warnings.filterwarnings('ignore')
import numpy as np
import pandas as pd
import matplotlib.pylab as plt
import seaborn as sns
%pylab inline
Populating the interactive namespace from numpy and matplotlib
Common pyFTS imports¶
In [3]:
from pyFTS.common import Util as cUtil
from pyFTS.benchmarks import benchmarks as bchmk, Util as bUtil
from pyFTS.partitioners import Util as pUtil
from pyFTS.models import hofts
Common data transformations¶
In [4]:
from pyFTS.common import Transformations
tdiff = Transformations.Differential(1)
boxcox = Transformations.BoxCox(0)
Datasets¶
Data Loading¶
In [5]:
from pyFTS.data import TAIEX, NASDAQ, SP500
dataset_names = ["TAIEX", "SP500","NASDAQ"]
def get_dataset(name):
if dataset_name == "TAIEX":
return TAIEX.get_data()
elif dataset_name == "SP500":
return SP500.get_data()[11500:16000]
elif dataset_name == "NASDAQ":
return NASDAQ.get_data()
train_split = 2000
test_length = 200
Visualization¶
In [6]:
fig, ax = plt.subplots(nrows=2, ncols=3, figsize=[10,5])
for count,dataset_name in enumerate(dataset_names):
dataset = get_dataset(dataset_name)
dataset_diff = tdiff.apply(dataset)
ax[0][count].plot(dataset)
ax[1][count].plot(dataset_diff)
ax[0][count].set_title(dataset_name)
Statistics¶
In [7]:
from statsmodels.tsa.stattools import adfuller
rows =[]
for count,dataset_name in enumerate(dataset_names):
row = [dataset_name]
dataset = get_dataset(dataset_name)
result = adfuller(dataset)
row.extend([result[0],result[1]])
row.extend([value for key, value in result[4].items()])
rows.append(row)
pd.DataFrame(rows,columns=['Dataset','ADF Statistic','p-value','Cr. Val. 1%','Cr. Val. 5%','Cr. Val. 10%'])
Out[7]:
| Dataset | ADF Statistic | p-value | Cr. Val. 1% | Cr. Val. 5% | Cr. Val. 10% | |
|---|---|---|---|---|---|---|
| 0 | TAIEX | -2.656728 | 0.081830 | -3.431601 | -2.862093 | -2.567064 |
| 1 | SP500 | -1.747171 | 0.406987 | -3.431811 | -2.862186 | -2.567114 |
| 2 | NASDAQ | 0.476224 | 0.984132 | -3.432022 | -2.862279 | -2.567163 |
Partitioning¶
The best number of partitions of the Universe of Discourse is an optimization problem. The know more about partitioning schemes please look on the Partitioners notebook. To know more about benchmarking look on the Benchmarks notebook.
In [ ]:
from pyFTS.partitioners import Grid, Util as pUtil
from pyFTS.benchmarks import benchmarks as bchmk
from pyFTS.models import chen
tag = 'chen_partitioning'
_type = 'point'
for dataset_name in dataset_names:
dataset = get_dataset(dataset_name)
bchmk.sliding_window_benchmarks(dataset, 1000, train=0.8, inc=0.2,
methods=[hofts.HighOrderFTS],
benchmark_models=False,
transformations=[None],
order=[1,2,3],
partitions=np.arange(10,100,2),
progress=False, type=_type,
distributed=True, nodes=['192.168.0.110', '192.168.0.107','192.168.0.106'],
file="benchmarks.db", dataset=dataset_name, tag=tag)
bchmk.sliding_window_benchmarks(dataset, 1000, train=0.8, inc=0.2,
methods=[hofts.HighOrderFTS],
benchmark_models=False,
transformations=[tdiff],
order=[1,2,3],
partitions=np.arange(3,30,1),
progress=False, type=_type,
distributed=True, nodes=['192.168.0.110', '192.168.0.107', '192.168.0.106'],
file="benchmarks.db", dataset=dataset_name, tag=tag)
In [ ]:
from pyFTS.benchmarks import Util as bUtil
df1 = bUtil.get_dataframe_from_bd("benchmarks.db",
"tag = 'chen_partitioning' and measure = 'rmse'and transformation is null")
df2 = bUtil.get_dataframe_from_bd("benchmarks.db",
"tag = 'chen_partitioning' and measure = 'rmse' and transformation is not null")
fig, ax = plt.subplots(nrows=2, ncols=1, figsize=[15,7])
g1 = sns.boxplot(x='Partitions', y='Value', hue='Dataset', data=df1, showfliers=False, ax=ax[0],
palette="Set3")
box = g1.get_position()
g1.set_position([box.x0, box.y0, box.width * 0.85, box.height])
g1.legend(loc='right', bbox_to_anchor=(1.15, 0.5), ncol=1)
ax[0].set_title("Original data")
ax[0].set_ylabel("RMSE")
ax[0].set_xlabel("")
g2 = sns.boxplot(x='Partitions', y='Value', hue='Dataset', data=df2, showfliers=False, ax=ax[1],
palette="Set3")
box = g2.get_position()
g2.set_position([box.x0, box.y0, box.width * 0.85, box.height])
g2.legend(loc='right', bbox_to_anchor=(1.15, 0.5), ncol=1)
ax[1].set_title("Differentiated data")
ax[1].set_ylabel("RMSE")
ax[1].set_xlabel("Number of partitions of the UoD")
Comparing the partitioning schemas¶
In [10]:
from pyFTS.partitioners import Grid, Util as pUtil
fig, ax = plt.subplots(nrows=2, ncols=3, figsize=[20,5])
partitioners = {}
partitioners_diff = {}
for count,dataset_name in enumerate(dataset_names):
dataset = get_dataset(dataset_name)
partitioner = Grid.GridPartitioner(data=dataset, npart=30)
partitioners[dataset_name] = partitioner
partitioner_diff = Grid.GridPartitioner(data=dataset, npart=10, transformation=tdiff)
partitioners_diff[dataset_name] = partitioner_diff
pUtil.plot_sets(dataset, [partitioner.sets], titles=[dataset_name], axis=ax[0][count])
pUtil.plot_sets(dataset, [partitioner_diff.sets], titles=[''], axis=ax[1][count])
Fitting models¶
With original data¶
In [13]:
for count,dataset_name in enumerate(dataset_names):
dataset = get_dataset(dataset_name)
for order in [2,3]:
model1 = hofts.HighOrderFTS(partitioner=partitioners[dataset_name], order=order)
model1.name=dataset_name +str(order)
model1.fit(dataset[:train_split], save_model=True, file_path='model1'+dataset_name+str(order))
print(model1)
TAIEX2: A1,A1 -> A1,A2,A3 A1,A2 -> A1,A2,A3 A1,A3 -> A2,A3 A10,A10 -> A10,A11,A12,A8,A9 A10,A11 -> A10,A11,A12,A9 A10,A12 -> A10,A11,A12 A10,A8 -> A10,A7,A8,A9 A10,A9 -> A10,A11,A12,A7,A8,A9 A11,A10 -> A10,A11,A12,A8,A9 A11,A11 -> A10,A11,A12,A13,A14,A9 A11,A12 -> A10,A11,A12,A13,A14 A11,A13 -> A11,A12,A13,A14 A11,A14 -> A13,A14 A11,A9 -> A10,A11,A8,A9 A12,A10 -> A10,A11,A12,A9 A12,A11 -> A10,A11,A12,A13,A14,A9 A12,A12 -> A10,A11,A12,A13,A14 A12,A13 -> A11,A12,A13,A14,A15 A12,A14 -> A13,A14,A15 A13,A11 -> A10,A11,A12,A13 A13,A12 -> A10,A11,A12,A13,A14 A13,A13 -> A11,A12,A13,A14,A15 A13,A14 -> A11,A12,A13,A14,A15 A13,A15 -> A13,A14,A15 A14,A11 -> A12,A13 A14,A12 -> A11,A12,A13,A14 A14,A13 -> A11,A12,A13,A14,A15 A14,A14 -> A11,A12,A13,A14,A15,A16 A14,A15 -> A13,A14,A15,A16 A14,A16 -> A14,A15,A16,A17,A18 A14,A17 -> A17,A18 A15,A13 -> A13,A14,A15 A15,A14 -> A13,A14,A15,A16,A17 A15,A15 -> A13,A14,A15,A16,A17 A15,A16 -> A14,A15,A16,A17,A18 A15,A17 -> A15,A16,A17,A18 A16,A14 -> A13,A14,A15,A16,A17 A16,A15 -> A13,A14,A15,A16,A17 A16,A16 -> A14,A15,A16,A17,A18 A16,A17 -> A15,A16,A17,A18,A19 A16,A18 -> A15,A16,A17,A18,A19 A17,A15 -> A14,A15,A16,A17 A17,A16 -> A14,A15,A16,A17,A18 A17,A17 -> A15,A16,A17,A18,A19 A17,A18 -> A15,A16,A17,A18,A19,A20 A17,A19 -> A17,A18,A19,A20 A18,A15 -> A16,A17 A18,A16 -> A15,A16,A17,A18 A18,A17 -> A15,A16,A17,A18,A19 A18,A18 -> A15,A16,A17,A18,A19,A20 A18,A19 -> A16,A17,A18,A19,A20,A21 A18,A20 -> A18,A19,A20,A21 A19,A16 -> A16,A17 A19,A17 -> A15,A16,A17,A18,A19 A19,A18 -> A15,A16,A17,A18,A19,A20 A19,A19 -> A16,A17,A18,A19,A20,A21 A19,A20 -> A18,A19,A20,A21,A22 A19,A21 -> A19,A20,A21,A22 A2,A1 -> A1,A2,A3 A2,A2 -> A1,A2,A3,A4 A2,A3 -> A1,A2,A3,A4 A2,A4 -> A3,A4 A20,A18 -> A17,A18,A19,A20 A20,A19 -> A17,A18,A19,A20,A21 A20,A20 -> A18,A19,A20,A21,A22 A20,A21 -> A19,A20,A21,A22,A23,A24 A20,A22 -> A20,A21,A22,A23,A24 A21,A19 -> A18,A19,A20,A21 A21,A20 -> A18,A19,A20,A21,A22 A21,A21 -> A19,A20,A21,A22,A23,A24 A21,A22 -> A20,A21,A22,A23,A24 A21,A23 -> A21,A22,A23,A24 A21,A24 -> A23,A24 A22,A20 -> A20,A21,A22 A22,A21 -> A20,A21,A22,A23 A22,A22 -> A20,A21,A22,A23,A24 A22,A23 -> A21,A22,A23,A24 A22,A24 -> A23,A24 A23,A21 -> A20,A21,A22,A23 A23,A22 -> A20,A21,A22,A23,A24 A23,A23 -> A21,A22,A23,A24,A25 A23,A24 -> A21,A22,A23,A24,A25,A26 A23,A25 -> A23,A24,A25,A26 A24,A21 -> A20,A21,A22,A23 A24,A22 -> A20,A21,A22,A23 A24,A23 -> A21,A22,A23,A24,A25 A24,A24 -> A21,A22,A23,A24,A25,A26 A24,A25 -> A23,A24,A25,A26 A24,A26 -> A24,A25,A26 A25,A23 -> A21,A22,A23,A24,A25 A25,A24 -> A21,A22,A23,A24,A25,A26 A25,A25 -> A23,A24,A25,A26,A27 A25,A26 -> A24,A25,A26,A27 A25,A27 -> A26,A27 A26,A24 -> A23,A24,A25 A26,A25 -> A23,A24,A25,A26,A27 A26,A26 -> A24,A25,A26,A27 A26,A27 -> A25,A26,A27 A27,A25 -> A24,A25 A27,A26 -> A24,A25,A26 A27,A27 -> A25,A26 A3,A1 -> A1,A2 A3,A2 -> A1,A2,A3,A4 A3,A3 -> A1,A2,A3,A4,A5 A3,A4 -> A2,A3,A4,A5 A3,A5 -> A3,A4,A5 A4,A2 -> A2,A3 A4,A3 -> A2,A3,A4,A5 A4,A4 -> A2,A3,A4,A5,A6 A4,A5 -> A2,A3,A4,A5,A6 A4,A6 -> A4,A5,A6 A5,A2 -> A2,A3 A5,A3 -> A2,A3,A4,A5 A5,A4 -> A2,A3,A4,A5,A6 A5,A5 -> A2,A3,A4,A5,A6,A7 A5,A6 -> A4,A5,A6,A7,A8 A5,A7 -> A6,A7,A8 A6,A4 -> A4,A5,A6 A6,A5 -> A4,A5,A6,A7 A6,A6 -> A4,A5,A6,A7,A8 A6,A7 -> A5,A6,A7,A8,A9 A6,A8 -> A6,A7,A8,A9 A7,A5 -> A5,A6,A7 A7,A6 -> A5,A6,A7,A8 A7,A7 -> A5,A6,A7,A8,A9 A7,A8 -> A10,A6,A7,A8,A9 A7,A9 -> A10,A7,A8,A9 A8,A10 -> A10,A8,A9 A8,A6 -> A6,A7,A8 A8,A7 -> A6,A7,A8,A9 A8,A8 -> A10,A6,A7,A8,A9 A8,A9 -> A10,A7,A8,A9 A9,A10 -> A10,A11,A12,A8,A9 A9,A11 -> A10,A11,A12,A9 A9,A12 -> A11,A12 A9,A7 -> A6,A7,A8,A9 A9,A8 -> A10,A6,A7,A8,A9 A9,A9 -> A10,A11,A12,A7,A8,A9 TAIEX3: A1,A1,A1 -> A1,A2,A3 A1,A1,A2 -> A1,A2,A3 A1,A1,A3 -> A2,A3 A1,A2,A1 -> A1,A2,A3 A1,A2,A2 -> A1,A2,A3 A1,A2,A3 -> A2,A3 A1,A3,A2 -> A2,A3 A1,A3,A3 -> A2,A3 A10,A10,A10 -> A10,A11,A12,A8,A9 A10,A10,A11 -> A10,A11,A12,A9 A10,A10,A12 -> A10,A11,A12 A10,A10,A8 -> A10,A7,A8,A9 A10,A10,A9 -> A10,A11,A12,A7,A8,A9 A10,A11,A10 -> A10,A11,A12,A8,A9 A10,A11,A11 -> A10,A11,A12,A13,A9 A10,A11,A12 -> A10,A11,A12,A13 A10,A11,A9 -> A10,A11,A8,A9 A10,A12,A10 -> A10,A11,A12 A10,A12,A11 -> A10,A11,A12,A13 A10,A12,A12 -> A10,A11,A12,A13 A10,A8,A10 -> A10,A8,A9 A10,A8,A7 -> A6,A7,A8,A9 A10,A8,A8 -> A10,A6,A7,A8,A9 A10,A8,A9 -> A10,A8,A9 A10,A9,A10 -> A10,A11,A12,A8,A9 A10,A9,A11 -> A10,A11,A12,A9 A10,A9,A12 -> A11,A12 A10,A9,A7 -> A6,A7,A8,A9 A10,A9,A8 -> A10,A6,A7,A8,A9 A10,A9,A9 -> A10,A11,A12,A7,A8,A9 A11,A10,A10 -> A10,A11,A12,A8,A9 A11,A10,A11 -> A10,A11,A12,A9 A11,A10,A12 -> A10,A11,A12 A11,A10,A8 -> A7,A8 A11,A10,A9 -> A10,A11,A7,A8,A9 A11,A11,A10 -> A10,A11,A12,A9 A11,A11,A11 -> A10,A11,A12,A13,A9 A11,A11,A12 -> A10,A11,A12,A13 A11,A11,A13 -> A11,A12,A13,A14 A11,A11,A14 -> A13,A14 A11,A11,A9 -> A10,A11,A9 A11,A12,A10 -> A10,A11,A12,A9 A11,A12,A11 -> A10,A11,A12,A13,A9 A11,A12,A12 -> A10,A11,A12,A13 A11,A12,A13 -> A11,A12,A13,A14 A11,A12,A14 -> A13,A14 A11,A13,A11 -> A10,A11,A12,A13 A11,A13,A12 -> A10,A11,A12,A13 A11,A13,A13 -> A12,A13,A14,A15 A11,A13,A14 -> A14,A15 A11,A14,A13 -> A14,A15 A11,A14,A14 -> A14,A15 A11,A9,A10 -> A10,A11,A8,A9 A11,A9,A11 -> A10,A11,A9 A11,A9,A8 -> A7,A8 A11,A9,A9 -> A10,A7,A8,A9 A12,A10,A10 -> A10,A11,A12,A9 A12,A10,A11 -> A10,A11,A12,A9 A12,A10,A12 -> A10,A11,A12 A12,A10,A9 -> A10,A9 A12,A11,A10 -> A10,A11,A12,A9 A12,A11,A11 -> A10,A11,A12,A13,A14,A9 A12,A11,A12 -> A10,A11,A12,A13,A14 A12,A11,A13 -> A11,A12,A13,A14 A12,A11,A14 -> A13,A14 A12,A11,A9 -> A10,A9 A12,A12,A10 -> A10,A11,A12,A9 A12,A12,A11 -> A10,A11,A12,A13,A14,A9 A12,A12,A12 -> A10,A11,A12,A13,A14 A12,A12,A13 -> A11,A12,A13,A14,A15 A12,A12,A14 -> A13,A14,A15 A12,A13,A11 -> A10,A11,A12,A13 A12,A13,A12 -> A10,A11,A12,A13,A14 A12,A13,A13 -> A11,A12,A13,A14,A15 A12,A13,A14 -> A12,A13,A14,A15 A12,A13,A15 -> A14,A15 A12,A14,A13 -> A12,A13,A14,A15 A12,A14,A14 -> A12,A13,A14,A15 A12,A14,A15 -> A14,A15 A13,A11,A10 -> A10,A11 A13,A11,A11 -> A10,A11,A12,A13,A14 A13,A11,A12 -> A11,A12,A13,A14 A13,A11,A13 -> A11,A12,A13 A13,A12,A10 -> A10,A11 A13,A12,A11 -> A10,A11,A12,A13,A14 A13,A12,A12 -> A10,A11,A12,A13,A14 A13,A12,A13 -> A11,A12,A13,A14,A15 A13,A12,A14 -> A13,A14,A15 A13,A13,A11 -> A10,A11,A12,A13 A13,A13,A12 -> A10,A11,A12,A13,A14 A13,A13,A13 -> A11,A12,A13,A14,A15 A13,A13,A14 -> A11,A12,A13,A14,A15 A13,A13,A15 -> A13,A14,A15 A13,A14,A11 -> A12,A13 A13,A14,A12 -> A11,A12,A13,A14 A13,A14,A13 -> A11,A12,A13,A14,A15 A13,A14,A14 -> A11,A12,A13,A14,A15,A16 A13,A14,A15 -> A13,A14,A15,A16 A13,A15,A13 -> A13,A14 A13,A15,A14 -> A13,A14,A15,A16 A13,A15,A15 -> A13,A14,A15,A16 A14,A11,A12 -> A11,A12 A14,A11,A13 -> A11,A12 A14,A12,A11 -> A10,A11 A14,A12,A12 -> A10,A11,A12,A13,A14 A14,A12,A13 -> A11,A12,A13,A14 A14,A12,A14 -> A13,A14 A14,A13,A11 -> A10,A11,A12,A13 A14,A13,A12 -> A10,A11,A12,A13,A14 A14,A13,A13 -> A11,A12,A13,A14,A15 A14,A13,A14 -> A11,A12,A13,A14,A15 A14,A13,A15 -> A13,A14,A15 A14,A14,A11 -> A12,A13 A14,A14,A12 -> A11,A12,A13,A14 A14,A14,A13 -> A11,A12,A13,A14,A15 A14,A14,A14 -> A11,A12,A13,A14,A15,A16 A14,A14,A15 -> A13,A14,A15,A16 A14,A14,A16 -> A14,A15,A16 A14,A15,A13 -> A13,A14,A15 A14,A15,A14 -> A13,A14,A15,A16 A14,A15,A15 -> A13,A14,A15,A16,A17 A14,A15,A16 -> A14,A15,A16,A17 A14,A16,A14 -> A14,A15,A16 A14,A16,A15 -> A14,A15,A16,A17 A14,A16,A16 -> A14,A15,A16,A17 A14,A16,A17 -> A17,A18 A14,A16,A18 -> A17,A18 A14,A17,A17 -> A17,A18 A14,A17,A18 -> A17,A18 A15,A13,A13 -> A13,A14,A15 A15,A13,A14 -> A13,A14,A15 A15,A13,A15 -> A14,A15 A15,A14,A13 -> A13,A14,A15 A15,A14,A14 -> A13,A14,A15,A16 A15,A14,A15 -> A13,A14,A15,A16 A15,A14,A16 -> A14,A15,A16,A17,A18 A15,A14,A17 -> A17,A18 A15,A15,A13 -> A13,A14,A15 A15,A15,A14 -> A13,A14,A15,A16,A17 A15,A15,A15 -> A13,A14,A15,A16,A17 A15,A15,A16 -> A14,A15,A16,A17,A18 A15,A15,A17 -> A16,A17,A18 A15,A16,A14 -> A13,A14,A15,A16,A17 A15,A16,A15 -> A13,A14,A15,A16,A17 A15,A16,A16 -> A14,A15,A16,A17,A18 A15,A16,A17 -> A15,A16,A17,A18,A19 A15,A16,A18 -> A17,A18,A19 A15,A17,A15 -> A15,A16 A15,A17,A16 -> A15,A16,A17,A18 A15,A17,A17 -> A15,A16,A17,A18,A19 A15,A17,A18 -> A17,A18,A19 A16,A14,A13 -> A13,A14 A16,A14,A14 -> A13,A14,A15,A16 A16,A14,A15 -> A13,A14,A15,A16 A16,A14,A16 -> A14,A15,A16,A17,A18 A16,A14,A17 -> A17,A18 A16,A15,A13 -> A13,A14 A16,A15,A14 -> A13,A14,A15,A16,A17 A16,A15,A15 -> A13,A14,A15,A16,A17 A16,A15,A16 -> A14,A15,A16,A17,A18 A16,A15,A17 -> A15,A16,A17,A18 A16,A16,A14 -> A13,A14,A15,A16,A17 A16,A16,A15 -> A13,A14,A15,A16,A17 A16,A16,A16 -> A14,A15,A16,A17,A18 A16,A16,A17 -> A15,A16,A17,A18,A19 A16,A16,A18 -> A16,A17,A18,A19 A16,A17,A15 -> A14,A15,A16,A17 A16,A17,A16 -> A14,A15,A16,A17,A18 A16,A17,A17 -> A15,A16,A17,A18,A19 A16,A17,A18 -> A16,A17,A18,A19 A16,A17,A19 -> A18,A19 A16,A18,A15 -> A16,A17 A16,A18,A16 -> A16,A17,A18 A16,A18,A17 -> A16,A17,A18,A19 A16,A18,A18 -> A16,A17,A18,A19 A16,A18,A19 -> A18,A19 A17,A15,A14 -> A14,A15 A17,A15,A15 -> A14,A15,A16 A17,A15,A16 -> A14,A15,A16,A17,A18 A17,A15,A17 -> A15,A16,A17,A18 A17,A16,A14 -> A14,A15 A17,A16,A15 -> A14,A15,A16,A17 A17,A16,A16 -> A14,A15,A16,A17,A18 A17,A16,A17 -> A15,A16,A17,A18,A19 A17,A16,A18 -> A15,A16,A17,A18,A19 A17,A17,A15 -> A14,A15,A16,A17 A17,A17,A16 -> A14,A15,A16,A17,A18 A17,A17,A17 -> A15,A16,A17,A18,A19 A17,A17,A18 -> A15,A16,A17,A18,A19,A20 A17,A17,A19 -> A17,A18,A19,A20 A17,A18,A15 -> A16,A17 A17,A18,A16 -> A15,A16,A17,A18 A17,A18,A17 -> A15,A16,A17,A18,A19 A17,A18,A18 -> A16,A17,A18,A19,A20 A17,A18,A19 -> A17,A18,A19,A20,A21 A17,A18,A20 -> A19,A20,A21 A17,A19,A17 -> A16,A17,A18,A19 A17,A19,A18 -> A16,A17,A18,A19,A20 A17,A19,A19 -> A17,A18,A19,A20,A21 A17,A19,A20 -> A19,A20,A21 A18,A15,A16 -> A16,A17,A18 A18,A15,A17 -> A16,A17,A18 A18,A16,A15 -> A16,A17 A18,A16,A16 -> A15,A16,A17,A18 A18,A16,A17 -> A15,A16,A17,A18 A18,A16,A18 -> A15,A16,A17,A18 A18,A17,A15 -> A16,A17 A18,A17,A16 -> A15,A16,A17,A18 A18,A17,A17 -> A15,A16,A17,A18,A19 A18,A17,A18 -> A15,A16,A17,A18,A19,A20 A18,A17,A19 -> A17,A18,A19,A20 A18,A18,A15 -> A16,A17 A18,A18,A16 -> A15,A16,A17,A18 A18,A18,A17 -> A15,A16,A17,A18,A19 A18,A18,A18 -> A16,A17,A18,A19,A20 A18,A18,A19 -> A16,A17,A18,A19,A20,A21 A18,A18,A20 -> A18,A19,A20,A21 A18,A19,A16 -> A16,A17 A18,A19,A17 -> A16,A17,A18,A19 A18,A19,A18 -> A16,A17,A18,A19,A20 A18,A19,A19 -> A16,A17,A18,A19,A20,A21 A18,A19,A20 -> A18,A19,A20,A21 A18,A19,A21 -> A19,A20,A21 A18,A20,A18 -> A17,A18,A19,A20 A18,A20,A19 -> A17,A18,A19,A20,A21 A18,A20,A20 -> A18,A19,A20,A21 A18,A20,A21 -> A19,A20,A21 A19,A16,A16 -> A16,A17 A19,A16,A17 -> A16,A17 A19,A17,A15 -> A16,A17 A19,A17,A16 -> A15,A16,A17,A18 A19,A17,A17 -> A15,A16,A17,A18,A19 A19,A17,A18 -> A17,A18,A19,A20 A19,A17,A19 -> A18,A19,A20 A19,A18,A15 -> A16,A17 A19,A18,A16 -> A15,A16,A17,A18 A19,A18,A17 -> A15,A16,A17,A18,A19 A19,A18,A18 -> A15,A16,A17,A18,A19,A20 A19,A18,A19 -> A16,A17,A18,A19,A20,A21 A19,A18,A20 -> A18,A19,A20,A21 A19,A19,A16 -> A16,A17 A19,A19,A17 -> A15,A16,A17,A18,A19 A19,A19,A18 -> A15,A16,A17,A18,A19,A20 A19,A19,A19 -> A16,A17,A18,A19,A20,A21 A19,A19,A20 -> A18,A19,A20,A21 A19,A19,A21 -> A19,A20,A21 A19,A20,A18 -> A17,A18,A19,A20 A19,A20,A19 -> A17,A18,A19,A20,A21 A19,A20,A20 -> A18,A19,A20,A21,A22 A19,A20,A21 -> A19,A20,A21,A22,A23,A24 A19,A20,A22 -> A23,A24 A19,A21,A19 -> A19,A20,A21 A19,A21,A20 -> A19,A20,A21,A22 A19,A21,A21 -> A19,A20,A21,A22,A23,A24 A19,A21,A22 -> A23,A24 A2,A1,A1 -> A1,A2,A3 A2,A1,A2 -> A1,A2,A3 A2,A1,A3 -> A2,A3 A2,A2,A1 -> A1,A2,A3 A2,A2,A2 -> A1,A2,A3,A4 A2,A2,A3 -> A1,A2,A3,A4 A2,A2,A4 -> A3,A4 A2,A3,A1 -> A1,A2 A2,A3,A2 -> A1,A2,A3,A4 A2,A3,A3 -> A1,A2,A3,A4 A2,A3,A4 -> A3,A4 A2,A4,A3 -> A3,A4 A2,A4,A4 -> A3,A4 A20,A18,A17 -> A15,A16,A17,A18,A19 A20,A18,A18 -> A15,A16,A17,A18,A19,A20 A20,A18,A19 -> A17,A18,A19,A20 A20,A18,A20 -> A18,A19,A20 A20,A19,A17 -> A15,A16,A17,A18,A19 A20,A19,A18 -> A15,A16,A17,A18,A19,A20 A20,A19,A19 -> A17,A18,A19,A20,A21 A20,A19,A20 -> A18,A19,A20,A21,A22 A20,A19,A21 -> A19,A20,A21,A22 A20,A20,A18 -> A17,A18,A19,A20 A20,A20,A19 -> A17,A18,A19,A20,A21 A20,A20,A20 -> A18,A19,A20,A21,A22 A20,A20,A21 -> A19,A20,A21,A22,A23,A24 A20,A20,A22 -> A21,A22,A23,A24 A20,A21,A19 -> A18,A19,A20,A21 A20,A21,A20 -> A18,A19,A20,A21,A22 A20,A21,A21 -> A19,A20,A21,A22,A23,A24 A20,A21,A22 -> A21,A22,A23,A24 A20,A21,A23 -> A23,A24 A20,A21,A24 -> A23,A24 A20,A22,A20 -> A20,A21 A20,A22,A21 -> A20,A21,A22,A23 A20,A22,A22 -> A21,A22,A23 A20,A22,A23 -> A23,A24 A20,A22,A24 -> A23,A24 A21,A19,A18 -> A18,A19 A21,A19,A19 -> A18,A19,A20,A21 A21,A19,A20 -> A18,A19,A20,A21,A22 A21,A19,A21 -> A19,A20,A21,A22 A21,A20,A18 -> A18,A19 A21,A20,A19 -> A18,A19,A20,A21 A21,A20,A20 -> A18,A19,A20,A21,A22 A21,A20,A21 -> A19,A20,A21,A22 A21,A20,A22 -> A20,A21,A22 A21,A21,A19 -> A18,A19,A20,A21 A21,A21,A20 -> A18,A19,A20,A21,A22 A21,A21,A21 -> A19,A20,A21,A22,A23 A21,A21,A22 -> A20,A21,A22,A23 A21,A21,A23 -> A21,A22,A23,A24 A21,A21,A24 -> A23,A24 A21,A22,A20 -> A20,A21,A22 A21,A22,A21 -> A20,A21,A22,A23 A21,A22,A22 -> A20,A21,A22,A23 A21,A22,A23 -> A21,A22,A23,A24 A21,A22,A24 -> A23,A24 A21,A23,A21 -> A20,A21,A22,A23 A21,A23,A22 -> A20,A21,A22,A23 A21,A23,A23 -> A21,A22,A23,A24,A25 A21,A23,A24 -> A24,A25 A21,A24,A23 -> A24,A25 A21,A24,A24 -> A24,A25 A22,A20,A20 -> A19,A20,A21,A22 A22,A20,A21 -> A19,A20,A21,A22 A22,A20,A22 -> A20,A21,A22 A22,A21,A20 -> A19,A20,A21,A22 A22,A21,A21 -> A19,A20,A21,A22,A23 A22,A21,A22 -> A20,A21,A22,A23 A22,A21,A23 -> A21,A22,A23 A22,A22,A20 -> A20,A21,A22 A22,A22,A21 -> A20,A21,A22,A23 A22,A22,A22 -> A20,A21,A22,A23,A24 A22,A22,A23 -> A21,A22,A23,A24 A22,A22,A24 -> A23,A24 A22,A23,A21 -> A20,A21,A22,A23 A22,A23,A22 -> A20,A21,A22,A23,A24 A22,A23,A23 -> A21,A22,A23,A24,A25 A22,A23,A24 -> A23,A24,A25 A22,A24,A23 -> A23,A24,A25 A22,A24,A24 -> A23,A24,A25 A23,A21,A20 -> A20,A21,A22 A23,A21,A21 -> A20,A21,A22,A23 A23,A21,A22 -> A20,A21,A22,A23 A23,A21,A23 -> A21,A22,A23 A23,A22,A20 -> A20,A21,A22 A23,A22,A21 -> A20,A21,A22,A23 A23,A22,A22 -> A20,A21,A22,A23,A24 A23,A22,A23 -> A21,A22,A23,A24 A23,A22,A24 -> A23,A24 A23,A23,A21 -> A20,A21,A22,A23 A23,A23,A22 -> A20,A21,A22,A23,A24 A23,A23,A23 -> A21,A22,A23,A24,A25 A23,A23,A24 -> A21,A22,A23,A24,A25,A26 A23,A23,A25 -> A23,A24,A25,A26 A23,A24,A21 -> A20,A21 A23,A24,A22 -> A20,A21,A22,A23 A23,A24,A23 -> A21,A22,A23,A24,A25 A23,A24,A24 -> A21,A22,A23,A24,A25,A26 A23,A24,A25 -> A23,A24,A25,A26 A23,A24,A26 -> A25,A26 A23,A25,A23 -> A24,A25 A23,A25,A24 -> A23,A24,A25 A23,A25,A25 -> A23,A24,A25,A26 A23,A25,A26 -> A25,A26 A24,A21,A20 -> A20,A21 A24,A21,A21 -> A20,A21 A24,A21,A22 -> A22,A23 A24,A21,A23 -> A22,A23 A24,A22,A20 -> A20,A21 A24,A22,A21 -> A20,A21 A24,A22,A22 -> A22,A23 A24,A22,A23 -> A22,A23 A24,A23,A21 -> A20,A21,A22,A23 A24,A23,A22 -> A20,A21,A22,A23 A24,A23,A23 -> A21,A22,A23,A24,A25 A24,A23,A24 -> A21,A22,A23,A24,A25,A26 A24,A23,A25 -> A23,A24,A25,A26 A24,A24,A21 -> A20,A21,A22,A23 A24,A24,A22 -> A20,A21,A22,A23 A24,A24,A23 -> A21,A22,A23,A24,A25 A24,A24,A24 -> A21,A22,A23,A24,A25,A26 A24,A24,A25 -> A23,A24,A25,A26 A24,A24,A26 -> A24,A25,A26 A24,A25,A23 -> A23,A24,A25 A24,A25,A24 -> A23,A24,A25,A26 A24,A25,A25 -> A23,A24,A25,A26 A24,A25,A26 -> A24,A25,A26 A24,A26,A24 -> A24,A25 A24,A26,A25 -> A24,A25,A26 A24,A26,A26 -> A25,A26 A25,A23,A21 -> A22,A23 A25,A23,A22 -> A22,A23 A25,A23,A23 -> A22,A23,A24,A25 A25,A23,A24 -> A22,A23,A24,A25 A25,A23,A25 -> A24,A25 A25,A24,A21 -> A22,A23 A25,A24,A22 -> A22,A23 A25,A24,A23 -> A21,A22,A23,A24,A25 A25,A24,A24 -> A21,A22,A23,A24,A25,A26 A25,A24,A25 -> A23,A24,A25,A26 A25,A24,A26 -> A24,A25,A26 A25,A25,A23 -> A21,A22,A23,A24,A25 A25,A25,A24 -> A21,A22,A23,A24,A25,A26 A25,A25,A25 -> A23,A24,A25,A26,A27 A25,A25,A26 -> A24,A25,A26,A27 A25,A25,A27 -> A26,A27 A25,A26,A24 -> A23,A24,A25 A25,A26,A25 -> A23,A24,A25,A26,A27 A25,A26,A26 -> A24,A25,A26,A27 A25,A26,A27 -> A25,A26,A27 A25,A27,A26 -> A25,A26 A25,A27,A27 -> A25,A26 A26,A24,A23 -> A21,A22,A23,A24 A26,A24,A24 -> A21,A22,A23,A24,A25,A26 A26,A24,A25 -> A23,A24,A25,A26 A26,A25,A23 -> A21,A22,A23,A24 A26,A25,A24 -> A21,A22,A23,A24,A25,A26 A26,A25,A25 -> A23,A24,A25,A26,A27 A26,A25,A26 -> A24,A25,A26,A27 A26,A25,A27 -> A26,A27 A26,A26,A24 -> A23,A24,A25 A26,A26,A25 -> A23,A24,A25,A26,A27 A26,A26,A26 -> A24,A25,A26,A27 A26,A26,A27 -> A25,A26,A27 A26,A27,A25 -> A24,A25 A26,A27,A26 -> A24,A25,A26 A26,A27,A27 -> A25,A26 A27,A25,A24 -> A24,A25 A27,A25,A25 -> A24,A25 A27,A26,A24 -> A24,A25 A27,A26,A25 -> A24,A25 A27,A26,A26 -> A24,A25 A27,A27,A25 -> A24,A25 A27,A27,A26 -> A24,A25 A3,A1,A1 -> A1,A2 A3,A1,A2 -> A1,A2 A3,A2,A1 -> A1,A2 A3,A2,A2 -> A1,A2,A3,A4 A3,A2,A3 -> A1,A2,A3,A4 A3,A2,A4 -> A3,A4 A3,A3,A1 -> A1,A2 A3,A3,A2 -> A1,A2,A3,A4 A3,A3,A3 -> A1,A2,A3,A4,A5 A3,A3,A4 -> A2,A3,A4,A5 A3,A3,A5 -> A4,A5 A3,A4,A2 -> A2,A3 A3,A4,A3 -> A2,A3,A4,A5 A3,A4,A4 -> A2,A3,A4,A5 A3,A4,A5 -> A4,A5 A3,A5,A3 -> A3,A4 A3,A5,A4 -> A3,A4,A5 A3,A5,A5 -> A4,A5 A4,A2,A2 -> A2,A3,A4 A4,A2,A3 -> A2,A3,A4 A4,A3,A2 -> A2,A3,A4 A4,A3,A3 -> A2,A3,A4,A5 A4,A3,A4 -> A2,A3,A4,A5 A4,A3,A5 -> A3,A4,A5 A4,A4,A2 -> A2,A3 A4,A4,A3 -> A2,A3,A4,A5 A4,A4,A4 -> A2,A3,A4,A5,A6 A4,A4,A5 -> A2,A3,A4,A5,A6 A4,A4,A6 -> A4,A5,A6 A4,A5,A2 -> A2,A3 A4,A5,A3 -> A2,A3,A4,A5 A4,A5,A4 -> A2,A3,A4,A5,A6 A4,A5,A5 -> A2,A3,A4,A5,A6,A7 A4,A5,A6 -> A4,A5,A6,A7 A4,A6,A4 -> A4,A5,A6 A4,A6,A5 -> A4,A5,A6,A7 A4,A6,A6 -> A4,A5,A6,A7 A5,A2,A2 -> A2,A3 A5,A2,A3 -> A2,A3 A5,A3,A2 -> A2,A3 A5,A3,A3 -> A2,A3,A4 A5,A3,A4 -> A3,A4,A5 A5,A3,A5 -> A3,A4,A5 A5,A4,A2 -> A2,A3 A5,A4,A3 -> A2,A3,A4,A5 A5,A4,A4 -> A2,A3,A4,A5,A6 A5,A4,A5 -> A2,A3,A4,A5,A6 A5,A4,A6 -> A4,A5,A6 A5,A5,A2 -> A2,A3 A5,A5,A3 -> A2,A3,A4,A5 A5,A5,A4 -> A2,A3,A4,A5,A6 A5,A5,A5 -> A2,A3,A4,A5,A6,A7 A5,A5,A6 -> A4,A5,A6,A7,A8 A5,A5,A7 -> A6,A7,A8 A5,A6,A4 -> A4,A5,A6 A5,A6,A5 -> A4,A5,A6,A7 A5,A6,A6 -> A4,A5,A6,A7,A8 A5,A6,A7 -> A5,A6,A7,A8 A5,A6,A8 -> A7,A8 A5,A7,A6 -> A5,A6,A7 A5,A7,A7 -> A5,A6,A7,A8 A5,A7,A8 -> A7,A8 A6,A4,A4 -> A4,A5,A6 A6,A4,A5 -> A4,A5,A6 A6,A4,A6 -> A4,A5,A6 A6,A5,A4 -> A4,A5,A6 A6,A5,A5 -> A4,A5,A6,A7 A6,A5,A6 -> A4,A5,A6,A7,A8 A6,A5,A7 -> A6,A7,A8 A6,A6,A4 -> A4,A5,A6 A6,A6,A5 -> A4,A5,A6,A7 A6,A6,A6 -> A4,A5,A6,A7,A8 A6,A6,A7 -> A5,A6,A7,A8 A6,A6,A8 -> A6,A7,A8 A6,A7,A5 -> A5,A6,A7 A6,A7,A6 -> A5,A6,A7,A8 A6,A7,A7 -> A5,A6,A7,A8,A9 A6,A7,A8 -> A6,A7,A8,A9 A6,A7,A9 -> A7,A8 A6,A8,A6 -> A6,A7 A6,A8,A7 -> A6,A7,A8,A9 A6,A8,A8 -> A7,A8,A9 A6,A8,A9 -> A7,A8 A7,A5,A5 -> A5,A6,A7 A7,A5,A6 -> A5,A6,A7 A7,A5,A7 -> A6,A7 A7,A6,A5 -> A5,A6,A7 A7,A6,A6 -> A5,A6,A7,A8 A7,A6,A7 -> A5,A6,A7,A8,A9 A7,A6,A8 -> A6,A7,A8,A9 A7,A7,A5 -> A5,A6,A7 A7,A7,A6 -> A5,A6,A7,A8 A7,A7,A7 -> A5,A6,A7,A8,A9 A7,A7,A8 -> A10,A6,A7,A8,A9 A7,A7,A9 -> A10,A7,A8,A9 A7,A8,A10 -> A10,A9 A7,A8,A6 -> A6,A7,A8 A7,A8,A7 -> A6,A7,A8,A9 A7,A8,A8 -> A10,A6,A7,A8,A9 A7,A8,A9 -> A10,A7,A8,A9 A7,A9,A10 -> A10,A9 A7,A9,A7 -> A7,A8,A9 A7,A9,A8 -> A10,A7,A8,A9 A7,A9,A9 -> A10,A7,A8,A9 A8,A10,A10 -> A10,A11,A8,A9 A8,A10,A8 -> A10,A9 A8,A10,A9 -> A10,A11,A8,A9 A8,A6,A6 -> A6,A7,A8 A8,A6,A7 -> A6,A7,A8,A9 A8,A6,A8 -> A6,A7,A8,A9 A8,A7,A6 -> A6,A7,A8 A8,A7,A7 -> A6,A7,A8,A9 A8,A7,A8 -> A10,A6,A7,A8,A9 A8,A7,A9 -> A10,A7,A8,A9 A8,A8,A10 -> A10,A9 A8,A8,A6 -> A6,A7,A8 A8,A8,A7 -> A6,A7,A8,A9 A8,A8,A8 -> A10,A6,A7,A8,A9 A8,A8,A9 -> A10,A7,A8,A9 A8,A9,A10 -> A10,A11,A8,A9 A8,A9,A7 -> A7,A8,A9 A8,A9,A8 -> A10,A7,A8,A9 A8,A9,A9 -> A10,A11,A7,A8,A9 A9,A10,A10 -> A10,A11,A12,A8,A9 A9,A10,A11 -> A10,A11,A12,A9 A9,A10,A12 -> A11,A12 A9,A10,A8 -> A10,A7,A8,A9 A9,A10,A9 -> A10,A11,A12,A7,A8,A9 A9,A11,A10 -> A10,A11,A8,A9 A9,A11,A11 -> A10,A11,A12,A9 A9,A11,A12 -> A11,A12 A9,A11,A9 -> A10,A11,A8,A9 A9,A12,A11 -> A11,A12 A9,A12,A12 -> A11,A12 A9,A7,A6 -> A6,A7 A9,A7,A7 -> A6,A7,A8,A9 A9,A7,A8 -> A10,A6,A7,A8,A9 A9,A7,A9 -> A10,A8,A9 A9,A8,A10 -> A10,A8,A9 A9,A8,A6 -> A6,A7 A9,A8,A7 -> A6,A7,A8,A9 A9,A8,A8 -> A10,A6,A7,A8,A9 A9,A8,A9 -> A10,A7,A8,A9 A9,A9,A10 -> A10,A11,A12,A8,A9 A9,A9,A11 -> A10,A11,A12,A9 A9,A9,A12 -> A11,A12 A9,A9,A7 -> A6,A7,A8,A9 A9,A9,A8 -> A10,A6,A7,A8,A9 A9,A9,A9 -> A10,A11,A12,A7,A8,A9 SP5002: A1,A1 -> A1,A2,A3 A1,A2 -> A1,A2,A3 A1,A3 -> A1,A2,A3 A10,A10 -> A10,A11,A12,A8,A9 A10,A11 -> A10,A11,A12,A9 A10,A12 -> A11,A12 A10,A8 -> A10,A8,A9 A10,A9 -> A10,A11,A8,A9 A11,A10 -> A10,A11,A12,A9 A11,A11 -> A10,A11,A12,A13,A9 A11,A12 -> A10,A11,A12,A13 A11,A13 -> A12,A13 A11,A9 -> A10,A11,A9 A12,A10 -> A10,A11,A12,A9 A12,A11 -> A10,A11,A12,A13,A9 A12,A12 -> A10,A11,A12,A13,A14 A12,A13 -> A11,A12,A13,A14 A12,A14 -> A13,A14 A13,A11 -> A11,A12,A13 A13,A12 -> A11,A12,A13,A14 A13,A13 -> A11,A12,A13,A14,A15 A13,A14 -> A12,A13,A14,A15 A13,A15 -> A13,A14,A15 A14,A12 -> A12,A13,A14 A14,A13 -> A12,A13,A14,A15 A14,A14 -> A12,A13,A14,A15,A16 A14,A15 -> A13,A14,A15,A16,A17 A14,A16 -> A15,A16,A17 A15,A13 -> A12,A13,A14,A15 A15,A14 -> A12,A13,A14,A15,A16 A15,A15 -> A13,A14,A15,A16,A17 A15,A16 -> A14,A15,A16,A17 A15,A17 -> A16,A17 A16,A14 -> A14,A15 A16,A15 -> A14,A15,A16,A17 A16,A16 -> A14,A15,A16,A17,A18 A16,A17 -> A15,A16,A17,A18 A16,A18 -> A17,A18 A17,A15 -> A14,A15,A16,A17 A17,A16 -> A14,A15,A16,A17,A18 A17,A17 -> A15,A16,A17,A18,A19 A17,A18 -> A16,A17,A18,A19 A17,A19 -> A17,A18,A19 A18,A16 -> A16,A17,A18 A18,A17 -> A16,A17,A18,A19 A18,A18 -> A16,A17,A18,A19,A20,A21 A18,A19 -> A17,A18,A19,A20,A21 A18,A20 -> A19,A20,A21 A18,A21 -> A20,A21 A19,A17 -> A17,A18,A19 A19,A18 -> A17,A18,A19,A20,A21 A19,A19 -> A17,A18,A19,A20,A21 A19,A20 -> A18,A19,A20,A21 A19,A21 -> A19,A20,A21 A2,A1 -> A1,A2,A3 A2,A2 -> A1,A2,A3,A4 A2,A3 -> A1,A2,A3,A4 A2,A4 -> A2,A3,A4 A20,A18 -> A18,A19,A20 A20,A19 -> A18,A19,A20,A21 A20,A20 -> A18,A19,A20,A21,A22 A20,A21 -> A19,A20,A21,A22 A20,A22 -> A20,A21,A22 A21,A19 -> A18,A19,A20,A21 A21,A20 -> A18,A19,A20,A21,A22 A21,A21 -> A19,A20,A21,A22,A23 A21,A22 -> A20,A21,A22,A23 A21,A23 -> A21,A22,A23 A22,A20 -> A19,A20,A21 A22,A21 -> A19,A20,A21,A22,A23 A22,A22 -> A20,A21,A22,A23 A22,A23 -> A21,A22,A23 A23,A21 -> A21,A22 A23,A22 -> A21,A22,A23 A23,A23 -> A21,A22,A23 A3,A1 -> A1,A2,A3 A3,A2 -> A1,A2,A3,A4 A3,A3 -> A1,A2,A3,A4,A5 A3,A4 -> A2,A3,A4,A5 A3,A5 -> A4,A5 A4,A2 -> A2,A3 A4,A3 -> A2,A3,A4,A5 A4,A4 -> A2,A3,A4,A5,A6 A4,A5 -> A3,A4,A5,A6 A4,A6 -> A4,A5,A6 A5,A3 -> A3,A4,A5 A5,A4 -> A3,A4,A5,A6 A5,A5 -> A3,A4,A5,A6,A7 A5,A6 -> A4,A5,A6,A7,A8 A5,A7 -> A5,A6,A7,A8 A6,A4 -> A4,A5,A6 A6,A5 -> A4,A5,A6,A7 A6,A6 -> A4,A5,A6,A7,A8 A6,A7 -> A5,A6,A7,A8 A6,A8 -> A6,A7,A8 A7,A5 -> A5,A6 A7,A6 -> A5,A6,A7,A8 A7,A7 -> A5,A6,A7,A8,A9 A7,A8 -> A6,A7,A8,A9 A7,A9 -> A7,A8,A9 A8,A10 -> A10,A9 A8,A6 -> A6,A7 A8,A7 -> A6,A7,A8,A9 A8,A8 -> A10,A6,A7,A8,A9 A8,A9 -> A10,A7,A8,A9 A9,A10 -> A10,A11,A8,A9 A9,A11 -> A10,A11,A9 A9,A7 -> A6,A7,A8 A9,A8 -> A10,A6,A7,A8,A9 A9,A9 -> A10,A11,A7,A8,A9 SP5003: A1,A1,A1 -> A1,A2,A3 A1,A1,A2 -> A1,A2,A3 A1,A1,A3 -> A2,A3 A1,A2,A1 -> A1,A2,A3 A1,A2,A2 -> A1,A2,A3 A1,A2,A3 -> A2,A3 A1,A3,A1 -> A2,A3 A1,A3,A2 -> A2,A3 A1,A3,A3 -> A2,A3 A10,A10,A10 -> A10,A11,A12,A8,A9 A10,A10,A11 -> A10,A11,A12,A9 A10,A10,A12 -> A11,A12 A10,A10,A8 -> A10,A8,A9 A10,A10,A9 -> A10,A11,A8,A9 A10,A11,A10 -> A10,A11,A12,A9 A10,A11,A11 -> A10,A11,A12,A9 A10,A11,A12 -> A11,A12 A10,A11,A9 -> A10,A11,A9 A10,A12,A11 -> A11,A12 A10,A12,A12 -> A11,A12 A10,A8,A10 -> A10,A9 A10,A8,A8 -> A10,A8,A9 A10,A8,A9 -> A10,A8,A9 A10,A9,A10 -> A10,A11,A8,A9 A10,A9,A11 -> A10,A11,A9 A10,A9,A8 -> A10,A8,A9 A10,A9,A9 -> A10,A11,A8,A9 A11,A10,A10 -> A10,A11,A12,A8,A9 A11,A10,A11 -> A10,A11,A12,A9 A11,A10,A12 -> A11,A12 A11,A10,A9 -> A10,A11,A8,A9 A11,A11,A10 -> A10,A11,A12,A9 A11,A11,A11 -> A10,A11,A12,A13,A9 A11,A11,A12 -> A10,A11,A12,A13 A11,A11,A13 -> A12,A13 A11,A11,A9 -> A10,A11,A9 A11,A12,A10 -> A10,A11,A12,A9 A11,A12,A11 -> A10,A11,A12,A13,A9 A11,A12,A12 -> A10,A11,A12,A13 A11,A12,A13 -> A12,A13 A11,A13,A12 -> A12,A13 A11,A13,A13 -> A12,A13 A11,A9,A10 -> A10,A11,A8,A9 A11,A9,A11 -> A10,A11 A11,A9,A9 -> A10,A11,A8,A9 A12,A10,A10 -> A10,A11 A12,A10,A11 -> A10,A11,A12 A12,A10,A12 -> A11,A12 A12,A10,A9 -> A10,A11 A12,A11,A10 -> A10,A11,A12,A9 A12,A11,A11 -> A10,A11,A12,A13,A9 A12,A11,A12 -> A10,A11,A12,A13 A12,A11,A13 -> A12,A13 A12,A11,A9 -> A10,A11 A12,A12,A10 -> A10,A11,A12,A9 A12,A12,A11 -> A10,A11,A12,A13,A9 A12,A12,A12 -> A10,A11,A12,A13,A14 A12,A12,A13 -> A11,A12,A13,A14 A12,A12,A14 -> A13,A14 A12,A13,A11 -> A11,A12,A13 A12,A13,A12 -> A11,A12,A13,A14 A12,A13,A13 -> A11,A12,A13,A14 A12,A13,A14 -> A13,A14 A12,A14,A13 -> A13,A14 A12,A14,A14 -> A13,A14 A13,A11,A11 -> A10,A11,A12 A13,A11,A12 -> A10,A11,A12,A13 A13,A11,A13 -> A12,A13 A13,A12,A11 -> A10,A11,A12,A13 A13,A12,A12 -> A10,A11,A12,A13,A14 A13,A12,A13 -> A11,A12,A13,A14 A13,A12,A14 -> A13,A14 A13,A13,A11 -> A11,A12,A13 A13,A13,A12 -> A11,A12,A13,A14 A13,A13,A13 -> A11,A12,A13,A14,A15 A13,A13,A14 -> A12,A13,A14,A15 A13,A13,A15 -> A13,A14,A15 A13,A14,A12 -> A12,A13,A14 A13,A14,A13 -> A12,A13,A14,A15 A13,A14,A14 -> A12,A13,A14,A15 A13,A14,A15 -> A13,A14,A15 A13,A15,A13 -> A13,A14 A13,A15,A14 -> A13,A14,A15 A13,A15,A15 -> A13,A14,A15 A14,A12,A12 -> A12,A13,A14 A14,A12,A13 -> A12,A13,A14 A14,A12,A14 -> A13,A14 A14,A13,A12 -> A12,A13,A14 A14,A13,A13 -> A12,A13,A14,A15 A14,A13,A14 -> A12,A13,A14,A15 A14,A13,A15 -> A13,A14,A15 A14,A14,A12 -> A12,A13,A14 A14,A14,A13 -> A12,A13,A14,A15 A14,A14,A14 -> A12,A13,A14,A15,A16 A14,A14,A15 -> A13,A14,A15,A16,A17 A14,A14,A16 -> A15,A16,A17 A14,A15,A13 -> A12,A13,A14,A15 A14,A15,A14 -> A12,A13,A14,A15,A16 A14,A15,A15 -> A13,A14,A15,A16,A17 A14,A15,A16 -> A15,A16,A17 A14,A15,A17 -> A16,A17 A14,A16,A15 -> A15,A16 A14,A16,A16 -> A15,A16,A17 A14,A16,A17 -> A16,A17 A15,A13,A12 -> A13,A14 A15,A13,A13 -> A13,A14,A15 A15,A13,A14 -> A13,A14,A15 A15,A13,A15 -> A14,A15 A15,A14,A12 -> A13,A14 A15,A14,A13 -> A12,A13,A14,A15 A15,A14,A14 -> A12,A13,A14,A15,A16 A15,A14,A15 -> A13,A14,A15,A16,A17 A15,A14,A16 -> A15,A16,A17 A15,A15,A13 -> A12,A13,A14,A15 A15,A15,A14 -> A12,A13,A14,A15,A16 A15,A15,A15 -> A13,A14,A15,A16,A17 A15,A15,A16 -> A14,A15,A16,A17 A15,A15,A17 -> A16,A17 A15,A16,A14 -> A14,A15 A15,A16,A15 -> A14,A15,A16,A17 A15,A16,A16 -> A14,A15,A16,A17 A15,A16,A17 -> A15,A16,A17 A15,A17,A16 -> A15,A16,A17 A15,A17,A17 -> A15,A16,A17 A16,A14,A14 -> A14,A15 A16,A14,A15 -> A14,A15 A16,A15,A14 -> A14,A15 A16,A15,A15 -> A14,A15,A16,A17 A16,A15,A16 -> A14,A15,A16,A17 A16,A15,A17 -> A16,A17 A16,A16,A14 -> A14,A15 A16,A16,A15 -> A14,A15,A16,A17 A16,A16,A16 -> A14,A15,A16,A17,A18 A16,A16,A17 -> A15,A16,A17,A18 A16,A16,A18 -> A17,A18 A16,A17,A15 -> A14,A15,A16,A17 A16,A17,A16 -> A14,A15,A16,A17,A18 A16,A17,A17 -> A15,A16,A17,A18 A16,A17,A18 -> A17,A18 A16,A18,A17 -> A17,A18 A16,A18,A18 -> A17,A18 A17,A15,A14 -> A14,A15 A17,A15,A15 -> A14,A15,A16 A17,A15,A16 -> A15,A16,A17 A17,A15,A17 -> A16,A17 A17,A16,A14 -> A14,A15 A17,A16,A15 -> A14,A15,A16,A17 A17,A16,A16 -> A14,A15,A16,A17,A18 A17,A16,A17 -> A15,A16,A17,A18 A17,A16,A18 -> A17,A18 A17,A17,A15 -> A14,A15,A16,A17 A17,A17,A16 -> A14,A15,A16,A17,A18 A17,A17,A17 -> A15,A16,A17,A18,A19 A17,A17,A18 -> A16,A17,A18,A19 A17,A17,A19 -> A17,A18,A19 A17,A18,A16 -> A16,A17,A18 A17,A18,A17 -> A16,A17,A18,A19 A17,A18,A18 -> A16,A17,A18,A19 A17,A18,A19 -> A17,A18,A19 A17,A19,A17 -> A17,A18 A17,A19,A18 -> A17,A18,A19 A17,A19,A19 -> A17,A18,A19 A18,A16,A16 -> A15,A16,A17,A18 A18,A16,A17 -> A15,A16,A17,A18 A18,A16,A18 -> A17,A18 A18,A17,A16 -> A15,A16,A17,A18 A18,A17,A17 -> A15,A16,A17,A18,A19 A18,A17,A18 -> A16,A17,A18,A19 A18,A17,A19 -> A17,A18,A19 A18,A18,A16 -> A16,A17,A18 A18,A18,A17 -> A16,A17,A18,A19 A18,A18,A18 -> A16,A17,A18,A19,A20 A18,A18,A19 -> A17,A18,A19,A20 A18,A18,A20 -> A19,A20,A21 A18,A18,A21 -> A20,A21 A18,A19,A17 -> A17,A18,A19 A18,A19,A18 -> A17,A18,A19,A20 A18,A19,A19 -> A17,A18,A19,A20 A18,A19,A20 -> A18,A19,A20,A21 A18,A19,A21 -> A20,A21 A18,A20,A19 -> A18,A19,A20 A18,A20,A20 -> A18,A19,A20,A21 A18,A20,A21 -> A20,A21 A18,A21,A20 -> A20,A21 A18,A21,A21 -> A20,A21 A19,A17,A17 -> A16,A17,A18,A19 A19,A17,A18 -> A16,A17,A18,A19 A19,A17,A19 -> A18,A19 A19,A18,A17 -> A16,A17,A18,A19 A19,A18,A18 -> A16,A17,A18,A19,A20,A21 A19,A18,A19 -> A17,A18,A19,A20,A21 A19,A18,A20 -> A19,A20,A21 A19,A18,A21 -> A20,A21 A19,A19,A17 -> A17,A18,A19 A19,A19,A18 -> A17,A18,A19,A20,A21 A19,A19,A19 -> A17,A18,A19,A20,A21 A19,A19,A20 -> A18,A19,A20,A21 A19,A19,A21 -> A19,A20,A21 A19,A20,A18 -> A18,A19 A19,A20,A19 -> A18,A19,A20,A21 A19,A20,A20 -> A18,A19,A20,A21,A22 A19,A20,A21 -> A19,A20,A21,A22 A19,A21,A19 -> A19,A20,A21 A19,A21,A20 -> A19,A20,A21,A22 A19,A21,A21 -> A19,A20,A21,A22 A2,A1,A1 -> A1,A2,A3 A2,A1,A2 -> A1,A2,A3 A2,A1,A3 -> A1,A2,A3 A2,A2,A1 -> A1,A2,A3 A2,A2,A2 -> A1,A2,A3,A4 A2,A2,A3 -> A1,A2,A3,A4 A2,A2,A4 -> A2,A3,A4 A2,A3,A1 -> A1,A2,A3 A2,A3,A2 -> A1,A2,A3,A4 A2,A3,A3 -> A1,A2,A3,A4 A2,A3,A4 -> A2,A3,A4 A2,A4,A2 -> A2,A3 A2,A4,A3 -> A2,A3,A4 A2,A4,A4 -> A2,A3,A4 A20,A18,A18 -> A18,A19,A20,A21 A20,A18,A19 -> A18,A19,A20,A21 A20,A18,A20 -> A20,A21 A20,A19,A18 -> A18,A19,A20,A21 A20,A19,A19 -> A18,A19,A20,A21 A20,A19,A20 -> A18,A19,A20,A21 A20,A19,A21 -> A19,A20,A21 A20,A20,A18 -> A18,A19,A20 A20,A20,A19 -> A18,A19,A20,A21 A20,A20,A20 -> A18,A19,A20,A21,A22 A20,A20,A21 -> A19,A20,A21,A22 A20,A20,A22 -> A20,A21,A22 A20,A21,A19 -> A19,A20,A21 A20,A21,A20 -> A19,A20,A21,A22 A20,A21,A21 -> A19,A20,A21,A22 A20,A21,A22 -> A20,A21,A22 A20,A22,A20 -> A20,A21 A20,A22,A21 -> A20,A21,A22 A20,A22,A22 -> A21,A22 A21,A19,A18 -> A19,A20 A21,A19,A19 -> A19,A20,A21 A21,A19,A20 -> A19,A20,A21 A21,A19,A21 -> A20,A21 A21,A20,A18 -> A19,A20 A21,A20,A19 -> A18,A19,A20,A21 A21,A20,A20 -> A18,A19,A20,A21,A22 A21,A20,A21 -> A19,A20,A21,A22 A21,A20,A22 -> A20,A21,A22 A21,A21,A19 -> A18,A19,A20 A21,A21,A20 -> A18,A19,A20,A21,A22 A21,A21,A21 -> A19,A20,A21,A22,A23 A21,A21,A22 -> A20,A21,A22,A23 A21,A21,A23 -> A21,A22,A23 A21,A22,A20 -> A19,A20,A21 A21,A22,A21 -> A19,A20,A21,A22,A23 A21,A22,A22 -> A20,A21,A22,A23 A21,A22,A23 -> A21,A22,A23 A21,A23,A21 -> A21,A22 A21,A23,A22 -> A21,A22,A23 A21,A23,A23 -> A22,A23 A22,A20,A19 -> A18,A19 A22,A20,A20 -> A18,A19,A20,A21,A22 A22,A20,A21 -> A20,A21,A22 A22,A21,A19 -> A18,A19 A22,A21,A20 -> A18,A19,A20,A21,A22 A22,A21,A21 -> A19,A20,A21,A22,A23 A22,A21,A22 -> A20,A21,A22,A23 A22,A21,A23 -> A21,A22,A23 A22,A22,A20 -> A19,A20,A21 A22,A22,A21 -> A19,A20,A21,A22,A23 A22,A22,A22 -> A20,A21,A22,A23 A22,A22,A23 -> A21,A22,A23 A22,A23,A21 -> A21,A22 A22,A23,A22 -> A21,A22,A23 A22,A23,A23 -> A21,A22,A23 A23,A21,A21 -> A21,A22 A23,A21,A22 -> A21,A22 A23,A22,A21 -> A21,A22 A23,A22,A22 -> A21,A22 A23,A22,A23 -> A21,A22 A23,A23,A21 -> A21,A22 A23,A23,A22 -> A21,A22 A23,A23,A23 -> A21,A22 A3,A1,A1 -> A1,A2 A3,A1,A2 -> A1,A2,A3 A3,A1,A3 -> A1,A2,A3 A3,A2,A1 -> A1,A2,A3 A3,A2,A2 -> A1,A2,A3,A4 A3,A2,A3 -> A1,A2,A3,A4 A3,A2,A4 -> A2,A3,A4 A3,A3,A1 -> A1,A2,A3 A3,A3,A2 -> A1,A2,A3,A4 A3,A3,A3 -> A1,A2,A3,A4,A5 A3,A3,A4 -> A2,A3,A4,A5 A3,A3,A5 -> A4,A5 A3,A4,A2 -> A2,A3 A3,A4,A3 -> A2,A3,A4,A5 A3,A4,A4 -> A2,A3,A4,A5 A3,A4,A5 -> A3,A4,A5 A3,A5,A4 -> A3,A4,A5 A3,A5,A5 -> A3,A4,A5 A4,A2,A2 -> A2,A3,A4 A4,A2,A3 -> A2,A3,A4 A4,A3,A2 -> A2,A3,A4 A4,A3,A3 -> A2,A3,A4,A5 A4,A3,A4 -> A2,A3,A4,A5 A4,A3,A5 -> A4,A5 A4,A4,A2 -> A2,A3 A4,A4,A3 -> A2,A3,A4,A5 A4,A4,A4 -> A2,A3,A4,A5,A6 A4,A4,A5 -> A3,A4,A5,A6 A4,A4,A6 -> A4,A5,A6 A4,A5,A3 -> A3,A4,A5 A4,A5,A4 -> A3,A4,A5,A6 A4,A5,A5 -> A3,A4,A5,A6 A4,A5,A6 -> A4,A5,A6 A4,A6,A4 -> A4,A5 A4,A6,A5 -> A4,A5,A6 A4,A6,A6 -> A5,A6 A5,A3,A3 -> A3,A4 A5,A3,A4 -> A3,A4,A5 A5,A3,A5 -> A4,A5 A5,A4,A3 -> A3,A4,A5 A5,A4,A4 -> A3,A4,A5,A6 A5,A4,A5 -> A3,A4,A5,A6 A5,A4,A6 -> A4,A5,A6 A5,A5,A3 -> A3,A4,A5 A5,A5,A4 -> A3,A4,A5,A6 A5,A5,A5 -> A3,A4,A5,A6,A7 A5,A5,A6 -> A4,A5,A6,A7,A8 A5,A5,A7 -> A5,A6,A7,A8 A5,A6,A4 -> A4,A5,A6 A5,A6,A5 -> A4,A5,A6,A7 A5,A6,A6 -> A4,A5,A6,A7,A8 A5,A6,A7 -> A5,A6,A7,A8 A5,A6,A8 -> A7,A8 A5,A7,A5 -> A5,A6 A5,A7,A6 -> A5,A6,A7 A5,A7,A7 -> A6,A7,A8 A5,A7,A8 -> A7,A8 A6,A4,A4 -> A4,A5,A6 A6,A4,A5 -> A4,A5,A6 A6,A4,A6 -> A5,A6 A6,A5,A4 -> A4,A5,A6 A6,A5,A5 -> A4,A5,A6,A7 A6,A5,A6 -> A4,A5,A6,A7,A8 A6,A5,A7 -> A5,A6,A7,A8 A6,A6,A4 -> A4,A5,A6 A6,A6,A5 -> A4,A5,A6,A7 A6,A6,A6 -> A4,A5,A6,A7,A8 A6,A6,A7 -> A5,A6,A7,A8 A6,A6,A8 -> A6,A7,A8 A6,A7,A5 -> A5,A6 A6,A7,A6 -> A5,A6,A7,A8 A6,A7,A7 -> A5,A6,A7,A8 A6,A7,A8 -> A6,A7,A8 A6,A8,A6 -> A6,A7 A6,A8,A7 -> A6,A7,A8 A6,A8,A8 -> A6,A7,A8 A7,A5,A5 -> A5,A6,A7 A7,A5,A6 -> A5,A6,A7 A7,A6,A5 -> A5,A6,A7 A7,A6,A6 -> A5,A6,A7,A8 A7,A6,A7 -> A5,A6,A7,A8 A7,A6,A8 -> A6,A7,A8 A7,A7,A5 -> A5,A6 A7,A7,A6 -> A5,A6,A7,A8 A7,A7,A7 -> A5,A6,A7,A8,A9 A7,A7,A8 -> A6,A7,A8,A9 A7,A7,A9 -> A7,A8,A9 A7,A8,A6 -> A6,A7 A7,A8,A7 -> A6,A7,A8,A9 A7,A8,A8 -> A6,A7,A8,A9 A7,A8,A9 -> A7,A8,A9 A7,A9,A7 -> A7,A8 A7,A9,A8 -> A7,A8,A9 A7,A9,A9 -> A8,A9 A8,A10,A10 -> A10,A8,A9 A8,A10,A9 -> A10,A8,A9 A8,A6,A6 -> A6,A7,A8 A8,A6,A7 -> A6,A7,A8 A8,A7,A6 -> A6,A7,A8 A8,A7,A7 -> A6,A7,A8,A9 A8,A7,A8 -> A6,A7,A8,A9 A8,A7,A9 -> A7,A8,A9 A8,A8,A10 -> A10,A9 A8,A8,A6 -> A6,A7 A8,A8,A7 -> A6,A7,A8,A9 A8,A8,A8 -> A10,A6,A7,A8,A9 A8,A8,A9 -> A10,A7,A8,A9 A8,A9,A10 -> A10,A8,A9 A8,A9,A7 -> A6,A7,A8 A8,A9,A8 -> A10,A6,A7,A8,A9 A8,A9,A9 -> A10,A7,A8,A9 A9,A10,A10 -> A10,A11,A8,A9 A9,A10,A11 -> A10,A11,A9 A9,A10,A8 -> A10,A8,A9 A9,A10,A9 -> A10,A11,A8,A9 A9,A11,A10 -> A10,A11,A9 A9,A11,A11 -> A10,A11,A9 A9,A11,A9 -> A10,A9 A9,A7,A6 -> A6,A7 A9,A7,A7 -> A6,A7,A8,A9 A9,A7,A8 -> A7,A8,A9 A9,A8,A10 -> A10,A9 A9,A8,A6 -> A6,A7 A9,A8,A7 -> A6,A7,A8,A9 A9,A8,A8 -> A10,A6,A7,A8,A9 A9,A8,A9 -> A10,A7,A8,A9 A9,A9,A10 -> A10,A11,A8,A9 A9,A9,A11 -> A10,A11,A9 A9,A9,A7 -> A6,A7,A8 A9,A9,A8 -> A10,A6,A7,A8,A9 A9,A9,A9 -> A10,A11,A7,A8,A9 NASDAQ2: A0,A0 -> A0,A1,A2 A0,A1 -> A0,A1,A2 A0,A2 -> A1,A2 A1,A0 -> A0,A1,A2 A1,A1 -> A0,A1,A2,A3 A1,A2 -> A0,A1,A2,A3 A1,A3 -> A1,A2,A3 A10,A10 -> A10,A11,A12,A8,A9 A10,A11 -> A10,A11,A12,A9 A10,A12 -> A11,A12 A10,A8 -> A10,A8,A9 A10,A9 -> A10,A11,A8,A9 A11,A10 -> A10,A11,A12,A8,A9 A11,A11 -> A10,A11,A12,A9 A11,A12 -> A10,A11,A12 A11,A9 -> A10,A11,A8,A9 A12,A10 -> A10,A11,A12 A12,A11 -> A10,A11,A12 A12,A12 -> A10,A11,A12 A2,A0 -> A0,A1 A2,A1 -> A0,A1,A2,A3 A2,A2 -> A0,A1,A2,A3,A4 A2,A3 -> A1,A2,A3,A4 A2,A4 -> A3,A4 A3,A1 -> A1,A2 A3,A2 -> A1,A2,A3,A4 A3,A3 -> A1,A2,A3,A4,A5 A3,A4 -> A2,A3,A4,A5,A6 A3,A5 -> A3,A4,A5,A6 A4,A2 -> A2,A3,A4 A4,A3 -> A2,A3,A4,A5 A4,A4 -> A2,A3,A4,A5,A6 A4,A5 -> A3,A4,A5,A6 A4,A6 -> A4,A5,A6 A5,A3 -> A3,A4,A5 A5,A4 -> A3,A4,A5,A6 A5,A5 -> A3,A4,A5,A6,A7 A5,A6 -> A4,A5,A6,A7,A8 A5,A7 -> A5,A6,A7,A8 A6,A4 -> A3,A4,A5,A6 A6,A5 -> A3,A4,A5,A6,A7 A6,A6 -> A4,A5,A6,A7,A8 A6,A7 -> A5,A6,A7,A8 A6,A8 -> A7,A8 A7,A5 -> A5,A6,A7 A7,A6 -> A5,A6,A7,A8 A7,A7 -> A5,A6,A7,A8,A9 A7,A8 -> A6,A7,A8,A9 A7,A9 -> A7,A8,A9 A8,A10 -> A10,A11,A8,A9 A8,A6 -> A6,A7,A8 A8,A7 -> A6,A7,A8,A9 A8,A8 -> A10,A6,A7,A8,A9 A8,A9 -> A10,A11,A7,A8,A9 A9,A10 -> A10,A11,A8,A9 A9,A11 -> A10,A11,A9 A9,A7 -> A7,A8 A9,A8 -> A10,A7,A8,A9 A9,A9 -> A10,A11,A7,A8,A9 NASDAQ3: A0,A0,A0 -> A0,A1,A2 A0,A0,A1 -> A0,A1,A2 A0,A0,A2 -> A1,A2 A0,A1,A0 -> A0,A1,A2 A0,A1,A1 -> A0,A1,A2 A0,A1,A2 -> A1,A2 A0,A2,A1 -> A1,A2 A0,A2,A2 -> A1,A2 A1,A0,A0 -> A0,A1,A2 A1,A0,A1 -> A0,A1,A2 A1,A0,A2 -> A1,A2 A1,A1,A0 -> A0,A1,A2 A1,A1,A1 -> A0,A1,A2,A3 A1,A1,A2 -> A0,A1,A2,A3 A1,A1,A3 -> A1,A2,A3 A1,A2,A0 -> A0,A1 A1,A2,A1 -> A0,A1,A2,A3 A1,A2,A2 -> A0,A1,A2,A3 A1,A2,A3 -> A1,A2,A3 A1,A3,A1 -> A1,A2 A1,A3,A2 -> A1,A2,A3 A1,A3,A3 -> A1,A2,A3 A10,A10,A10 -> A10,A11,A12,A8,A9 A10,A10,A11 -> A10,A11,A12,A9 A10,A10,A12 -> A11,A12 A10,A10,A8 -> A10,A8,A9 A10,A10,A9 -> A10,A11,A8,A9 A10,A11,A10 -> A10,A11,A12,A8,A9 A10,A11,A11 -> A10,A11,A12,A9 A10,A11,A12 -> A11,A12 A10,A11,A9 -> A10,A11,A8,A9 A10,A12,A11 -> A11,A12 A10,A12,A12 -> A11,A12 A10,A8,A10 -> A10,A8,A9 A10,A8,A8 -> A10,A8,A9 A10,A8,A9 -> A10,A8,A9 A10,A9,A10 -> A10,A11,A8,A9 A10,A9,A11 -> A10,A11,A9 A10,A9,A8 -> A10,A8,A9 A10,A9,A9 -> A10,A11,A8,A9 A11,A10,A10 -> A10,A11,A12,A9 A11,A10,A11 -> A10,A11,A12,A9 A11,A10,A12 -> A11,A12 A11,A10,A8 -> A10,A9 A11,A10,A9 -> A10,A11,A9 A11,A11,A10 -> A10,A11,A12,A9 A11,A11,A11 -> A10,A11,A12,A9 A11,A11,A12 -> A10,A11,A12 A11,A11,A9 -> A10,A11,A9 A11,A12,A10 -> A10,A11,A12 A11,A12,A11 -> A10,A11,A12 A11,A12,A12 -> A10,A11,A12 A11,A9,A10 -> A10,A11,A9 A11,A9,A11 -> A10,A11 A11,A9,A8 -> A10,A9 A11,A9,A9 -> A10,A11,A9 A12,A10,A10 -> A10,A11 A12,A10,A11 -> A10,A11,A12 A12,A10,A12 -> A11,A12 A12,A11,A10 -> A10,A11,A12 A12,A11,A11 -> A10,A11,A12 A12,A11,A12 -> A10,A11,A12 A12,A12,A10 -> A10,A11,A12 A12,A12,A11 -> A10,A11,A12 A12,A12,A12 -> A10,A11,A12 A2,A0,A0 -> A0,A1 A2,A0,A1 -> A0,A1 A2,A1,A0 -> A0,A1 A2,A1,A1 -> A0,A1,A2,A3 A2,A1,A2 -> A0,A1,A2,A3 A2,A1,A3 -> A1,A2,A3 A2,A2,A0 -> A0,A1 A2,A2,A1 -> A0,A1,A2,A3 A2,A2,A2 -> A0,A1,A2,A3,A4 A2,A2,A3 -> A1,A2,A3,A4 A2,A2,A4 -> A3,A4 A2,A3,A1 -> A1,A2 A2,A3,A2 -> A1,A2,A3,A4 A2,A3,A3 -> A1,A2,A3,A4 A2,A3,A4 -> A2,A3,A4 A2,A4,A3 -> A2,A3,A4 A2,A4,A4 -> A2,A3,A4 A3,A1,A1 -> A1,A2,A3 A3,A1,A2 -> A1,A2,A3 A3,A2,A1 -> A1,A2,A3 A3,A2,A2 -> A1,A2,A3,A4 A3,A2,A3 -> A1,A2,A3,A4 A3,A2,A4 -> A3,A4 A3,A3,A1 -> A1,A2 A3,A3,A2 -> A1,A2,A3,A4 A3,A3,A3 -> A1,A2,A3,A4,A5 A3,A3,A4 -> A2,A3,A4,A5 A3,A3,A5 -> A3,A4,A5 A3,A4,A2 -> A2,A3,A4 A3,A4,A3 -> A2,A3,A4,A5 A3,A4,A4 -> A2,A3,A4,A5 A3,A4,A5 -> A3,A4,A5 A3,A4,A6 -> A4,A5 A3,A5,A3 -> A3,A4,A5 A3,A5,A4 -> A3,A4,A5 A3,A5,A5 -> A3,A4,A5 A3,A5,A6 -> A4,A5 A4,A2,A2 -> A2,A3,A4 A4,A2,A3 -> A2,A3,A4 A4,A2,A4 -> A3,A4 A4,A3,A2 -> A2,A3,A4 A4,A3,A3 -> A2,A3,A4,A5 A4,A3,A4 -> A2,A3,A4,A5,A6 A4,A3,A5 -> A3,A4,A5,A6 A4,A4,A2 -> A2,A3,A4 A4,A4,A3 -> A2,A3,A4,A5 A4,A4,A4 -> A2,A3,A4,A5,A6 A4,A4,A5 -> A3,A4,A5,A6 A4,A4,A6 -> A4,A5,A6 A4,A5,A3 -> A3,A4,A5 A4,A5,A4 -> A3,A4,A5,A6 A4,A5,A5 -> A3,A4,A5,A6 A4,A5,A6 -> A4,A5,A6 A4,A6,A4 -> A3,A4,A5,A6 A4,A6,A5 -> A3,A4,A5,A6 A4,A6,A6 -> A5,A6 A5,A3,A3 -> A3,A4,A5 A5,A3,A4 -> A3,A4,A5,A6 A5,A3,A5 -> A4,A5,A6 A5,A4,A3 -> A3,A4,A5 A5,A4,A4 -> A3,A4,A5,A6 A5,A4,A5 -> A3,A4,A5,A6 A5,A4,A6 -> A4,A5,A6 A5,A5,A3 -> A3,A4,A5 A5,A5,A4 -> A3,A4,A5,A6 A5,A5,A5 -> A3,A4,A5,A6,A7 A5,A5,A6 -> A4,A5,A6,A7,A8 A5,A5,A7 -> A5,A6,A7,A8 A5,A6,A4 -> A3,A4,A5,A6 A5,A6,A5 -> A3,A4,A5,A6,A7 A5,A6,A6 -> A4,A5,A6,A7,A8 A5,A6,A7 -> A5,A6,A7,A8 A5,A6,A8 -> A7,A8 A5,A7,A5 -> A5,A6,A7 A5,A7,A6 -> A5,A6,A7 A5,A7,A7 -> A5,A6,A7,A8 A5,A7,A8 -> A7,A8 A6,A4,A3 -> A4,A5 A6,A4,A4 -> A3,A4,A5 A6,A4,A5 -> A3,A4,A5,A6 A6,A4,A6 -> A4,A5,A6 A6,A5,A3 -> A4,A5 A6,A5,A4 -> A3,A4,A5,A6 A6,A5,A5 -> A3,A4,A5,A6,A7 A6,A5,A6 -> A4,A5,A6,A7,A8 A6,A5,A7 -> A5,A6,A7,A8 A6,A6,A4 -> A4,A5,A6 A6,A6,A5 -> A4,A5,A6,A7 A6,A6,A6 -> A4,A5,A6,A7,A8 A6,A6,A7 -> A5,A6,A7,A8 A6,A6,A8 -> A7,A8 A6,A7,A5 -> A5,A6,A7 A6,A7,A6 -> A5,A6,A7,A8 A6,A7,A7 -> A5,A6,A7,A8 A6,A7,A8 -> A6,A7,A8 A6,A8,A7 -> A6,A7,A8 A6,A8,A8 -> A6,A7,A8 A7,A5,A5 -> A4,A5,A6,A7 A7,A5,A6 -> A4,A5,A6,A7 A7,A5,A7 -> A6,A7 A7,A6,A5 -> A4,A5,A6,A7 A7,A6,A6 -> A4,A5,A6,A7,A8 A7,A6,A7 -> A5,A6,A7,A8 A7,A6,A8 -> A7,A8 A7,A7,A5 -> A5,A6,A7 A7,A7,A6 -> A5,A6,A7,A8 A7,A7,A7 -> A5,A6,A7,A8,A9 A7,A7,A8 -> A6,A7,A8,A9 A7,A7,A9 -> A7,A8,A9 A7,A8,A6 -> A6,A7,A8 A7,A8,A7 -> A6,A7,A8,A9 A7,A8,A8 -> A6,A7,A8,A9 A7,A8,A9 -> A7,A8,A9 A7,A9,A7 -> A7,A8 A7,A9,A8 -> A7,A8,A9 A7,A9,A9 -> A7,A8,A9 A8,A10,A10 -> A10,A8,A9 A8,A10,A11 -> A10,A9 A8,A10,A8 -> A10,A8,A9 A8,A10,A9 -> A10,A8,A9 A8,A6,A6 -> A6,A7,A8 A8,A6,A7 -> A6,A7,A8 A8,A6,A8 -> A7,A8 A8,A7,A6 -> A6,A7,A8 A8,A7,A7 -> A6,A7,A8,A9 A8,A7,A8 -> A6,A7,A8,A9 A8,A7,A9 -> A7,A8,A9 A8,A8,A10 -> A10,A8,A9 A8,A8,A6 -> A6,A7,A8 A8,A8,A7 -> A6,A7,A8,A9 A8,A8,A8 -> A10,A6,A7,A8,A9 A8,A8,A9 -> A10,A7,A8,A9 A8,A9,A10 -> A10,A8,A9 A8,A9,A11 -> A10,A9 A8,A9,A7 -> A7,A8 A8,A9,A8 -> A10,A7,A8,A9 A8,A9,A9 -> A10,A7,A8,A9 A9,A10,A10 -> A10,A11,A8,A9 A9,A10,A11 -> A10,A11,A9 A9,A10,A8 -> A10,A8,A9 A9,A10,A9 -> A10,A11,A8,A9 A9,A11,A10 -> A10,A11,A8,A9 A9,A11,A11 -> A10,A11,A9 A9,A11,A9 -> A10,A8,A9 A9,A7,A7 -> A7,A8,A9 A9,A7,A8 -> A7,A8,A9 A9,A8,A10 -> A10,A8,A9 A9,A8,A7 -> A7,A8,A9 A9,A8,A8 -> A10,A7,A8,A9 A9,A8,A9 -> A10,A7,A8,A9 A9,A9,A10 -> A10,A11,A8,A9 A9,A9,A11 -> A10,A11,A9 A9,A9,A7 -> A7,A8 A9,A9,A8 -> A10,A7,A8,A9 A9,A9,A9 -> A10,A11,A7,A8,A9
With transformed data¶
In [15]:
for count,dataset_name in enumerate(dataset_names):
dataset = get_dataset(dataset_name)
for order in [2,3]:
model2 = hofts.HighOrderFTS(partitioner=partitioners_diff[dataset_name], order=order)
model2.name=dataset_name +str(order)
model2.append_transformation(tdiff)
model2.fit(dataset[:train_split], save_model=True, file_path='model2'+dataset_name+str(order))
print(model2)
TAIEX2: A0,A4 -> A5,A6 A0,A5 -> A5,A6 A1,A1 -> A3,A4,A5 A1,A2 -> A3,A4,A5 A1,A3 -> A2,A3,A4,A5 A1,A4 -> A2,A3,A4,A5,A6,A7 A1,A5 -> A2,A3,A4,A5,A6,A7 A2,A1 -> A3,A4,A5 A2,A2 -> A2,A3,A4,A5 A2,A3 -> A2,A3,A4,A5,A6 A2,A4 -> A2,A3,A4,A5,A6,A7 A2,A5 -> A2,A3,A4,A5,A6,A7 A2,A6 -> A2,A3,A4,A5,A6,A7 A2,A7 -> A3,A4,A5,A6 A3,A1 -> A1,A2 A3,A2 -> A1,A2,A3,A4,A5 A3,A3 -> A2,A3,A4,A5,A6 A3,A4 -> A2,A3,A4,A5,A6,A7,A9 A3,A5 -> A2,A3,A4,A5,A6,A7,A9 A3,A6 -> A2,A3,A4,A5,A6,A7 A3,A7 -> A3,A4,A5,A6 A3,A8 -> A3,A4,A5 A3,A9 -> A3,A4,A5 A4,A0 -> A4,A5 A4,A1 -> A1,A2,A3,A4,A5 A4,A2 -> A1,A2,A3,A4,A5,A6 A4,A3 -> A2,A3,A4,A5,A6,A7,A8,A9 A4,A4 -> A0,A1,A2,A3,A4,A5,A6,A7,A8,A9 A4,A5 -> A0,A1,A2,A3,A4,A5,A6,A7,A8,A9 A4,A6 -> A1,A2,A3,A4,A5,A6,A7,A8 A4,A7 -> A2,A3,A4,A5,A6,A7 A4,A8 -> A3,A4,A5,A6,A7 A4,A9 -> A3,A4,A5,A6,A7 A5,A0 -> A4,A5 A5,A1 -> A1,A2,A3,A4,A5 A5,A2 -> A1,A2,A3,A4,A5,A6 A5,A3 -> A2,A3,A4,A5,A6,A7,A8,A9 A5,A4 -> A0,A1,A2,A3,A4,A5,A6,A7,A8,A9 A5,A5 -> A0,A1,A2,A3,A4,A5,A6,A7,A8 A5,A6 -> A1,A2,A3,A4,A5,A6,A7,A8 A5,A7 -> A1,A2,A3,A4,A5,A6,A7 A5,A8 -> A1,A2,A3,A4,A5,A6,A7 A5,A9 -> A1,A2,A6,A7 A6,A1 -> A1,A2 A6,A2 -> A1,A2,A3,A4,A5,A6,A7 A6,A3 -> A1,A2,A3,A4,A5,A6,A7,A8,A9 A6,A4 -> A1,A2,A3,A4,A5,A6,A7,A8,A9 A6,A5 -> A1,A2,A3,A4,A5,A6,A7,A8 A6,A6 -> A2,A3,A4,A5,A6,A7,A8,A9 A6,A7 -> A1,A2,A3,A4,A5,A6,A7,A8,A9 A6,A8 -> A1,A2,A3,A4,A5,A6 A6,A9 -> A1,A2,A3,A4 A7,A1 -> A4,A5 A7,A2 -> A4,A5,A6,A7 A7,A3 -> A1,A2,A3,A4,A5,A6,A7 A7,A4 -> A1,A2,A3,A4,A5,A6,A7 A7,A5 -> A2,A3,A4,A5,A6,A7,A8,A9 A7,A6 -> A3,A4,A5,A6,A7,A8,A9 A7,A7 -> A4,A5,A6,A7,A8,A9 A7,A8 -> A3,A4,A5 A7,A9 -> A3,A4 A8,A1 -> A4,A5 A8,A2 -> A4,A5 A8,A3 -> A2,A3,A4,A5,A6 A8,A4 -> A2,A3,A4,A5,A6 A8,A5 -> A2,A3,A4,A5,A6,A9 A8,A6 -> A5,A6,A7,A8,A9 A8,A7 -> A7,A8 A9,A1 -> A4,A5 A9,A2 -> A4,A5 A9,A3 -> A2,A3,A4 A9,A4 -> A2,A3,A4,A5,A6 A9,A5 -> A5,A6 A9,A6 -> A4,A5 A9,A7 -> A4,A5 TAIEX3: A0,A4,A5 -> A3,A4 A0,A4,A6 -> A3,A4 A0,A5,A5 -> A3,A4 A0,A5,A6 -> A3,A4 A1,A1,A3 -> A2,A3 A1,A1,A4 -> A2,A3 A1,A1,A5 -> A2,A3 A1,A2,A3 -> A2,A3 A1,A2,A4 -> A2,A3 A1,A2,A5 -> A2,A3 A1,A3,A2 -> A3,A4 A1,A3,A3 -> A3,A4 A1,A3,A4 -> A5,A6 A1,A3,A5 -> A5,A6 A1,A4,A2 -> A3,A4,A5,A6 A1,A4,A3 -> A3,A4,A5,A6 A1,A4,A4 -> A5,A6,A7 A1,A4,A5 -> A3,A4,A5,A6,A7 A1,A4,A6 -> A3,A4 A1,A4,A7 -> A3,A4 A1,A5,A2 -> A5,A6 A1,A5,A3 -> A5,A6 A1,A5,A4 -> A5,A6,A7 A1,A5,A5 -> A3,A4,A5,A6,A7 A1,A5,A6 -> A3,A4 A1,A5,A7 -> A3,A4 A2,A1,A3 -> A2,A3 A2,A1,A4 -> A2,A3 A2,A1,A5 -> A2,A3 A2,A2,A2 -> A3,A4 A2,A2,A3 -> A2,A3,A4,A5 A2,A2,A4 -> A2,A3,A4,A5 A2,A2,A5 -> A2,A3,A4,A5 A2,A3,A2 -> A3,A4 A2,A3,A3 -> A3,A4,A5,A6 A2,A3,A4 -> A3,A4,A5,A6 A2,A3,A5 -> A3,A4,A5,A6 A2,A3,A6 -> A4,A5,A6 A2,A4,A2 -> A3,A4,A5,A6 A2,A4,A3 -> A3,A4,A5,A6 A2,A4,A4 -> A0,A1,A3,A4,A5,A6,A7 A2,A4,A5 -> A0,A1,A3,A4,A5,A6,A7 A2,A4,A6 -> A3,A4,A5,A6,A7 A2,A4,A7 -> A3,A4,A5,A6 A2,A5,A2 -> A3,A4,A5,A6 A2,A5,A3 -> A2,A3,A4,A5,A6 A2,A5,A4 -> A0,A1,A2,A3,A4,A5,A6,A7 A2,A5,A5 -> A0,A1,A3,A4,A5,A6,A7 A2,A5,A6 -> A3,A4,A5,A6,A7 A2,A5,A7 -> A3,A4,A5,A6 A2,A6,A2 -> A3,A4 A2,A6,A3 -> A1,A2,A3,A4 A2,A6,A4 -> A1,A2,A3 A2,A6,A5 -> A7,A8 A2,A6,A6 -> A4,A5,A7,A8 A2,A6,A7 -> A4,A5 A2,A7,A3 -> A1,A2 A2,A7,A4 -> A1,A2 A2,A7,A5 -> A7,A8 A2,A7,A6 -> A7,A8 A3,A1,A1 -> A3,A4 A3,A1,A2 -> A3,A4 A3,A2,A1 -> A3,A4 A3,A2,A2 -> A2,A3,A4 A3,A2,A3 -> A2,A3,A4,A5,A6 A3,A2,A4 -> A3,A4,A5,A6 A3,A2,A5 -> A3,A4,A5,A6 A3,A3,A2 -> A2,A3,A4,A5 A3,A3,A3 -> A2,A3,A4,A5,A6 A3,A3,A4 -> A2,A3,A4,A5,A6 A3,A3,A5 -> A2,A3,A4,A5,A6 A3,A3,A6 -> A3,A4,A5,A6 A3,A4,A2 -> A2,A3,A4,A5 A3,A4,A3 -> A2,A3,A4,A5,A6,A7 A3,A4,A4 -> A0,A1,A2,A3,A4,A5,A6,A7 A3,A4,A5 -> A0,A1,A2,A3,A4,A5,A6,A7,A8 A3,A4,A6 -> A2,A3,A4,A5,A6,A7,A8 A3,A4,A7 -> A4,A5,A6,A7 A3,A4,A9 -> A6,A7 A3,A5,A2 -> A2,A3,A4,A5,A6 A3,A5,A3 -> A2,A3,A4,A5,A6,A7,A8,A9 A3,A5,A4 -> A0,A1,A2,A3,A4,A5,A6,A7,A8,A9 A3,A5,A5 -> A0,A1,A2,A3,A4,A5,A6,A7,A8 A3,A5,A6 -> A2,A3,A4,A5,A6,A7,A8 A3,A5,A7 -> A3,A4,A5,A6,A7 A3,A5,A9 -> A6,A7 A3,A6,A2 -> A3,A4,A5,A6 A3,A6,A3 -> A1,A2,A3,A4,A5,A6,A7,A8,A9 A3,A6,A4 -> A1,A2,A3,A4,A5,A6,A7,A8,A9 A3,A6,A5 -> A1,A2,A3,A4,A5,A6,A7,A8 A3,A6,A6 -> A3,A4,A5,A6,A7,A8 A3,A6,A7 -> A3,A4,A5,A6 A3,A7,A3 -> A1,A2,A4,A5,A6 A3,A7,A4 -> A1,A2,A3,A4,A5,A6 A3,A7,A5 -> A2,A3,A4,A5,A6,A7,A8 A3,A7,A6 -> A3,A4,A5,A6,A7,A8 A3,A8,A3 -> A2,A3 A3,A8,A4 -> A2,A3,A5,A6 A3,A8,A5 -> A5,A6 A3,A9,A3 -> A2,A3 A3,A9,A4 -> A2,A3,A5,A6 A3,A9,A5 -> A5,A6 A4,A0,A4 -> A5,A6 A4,A0,A5 -> A5,A6 A4,A1,A1 -> A3,A4 A4,A1,A2 -> A3,A4 A4,A1,A3 -> A4,A5 A4,A1,A4 -> A4,A5,A6 A4,A1,A5 -> A4,A5,A6 A4,A2,A1 -> A3,A4 A4,A2,A2 -> A2,A3,A4,A5 A4,A2,A3 -> A2,A3,A4,A5,A6 A4,A2,A4 -> A3,A4,A5,A6,A7 A4,A2,A5 -> A2,A3,A4,A5,A6,A7 A4,A2,A6 -> A2,A3,A4,A6,A7 A4,A3,A2 -> A2,A3,A4,A5 A4,A3,A3 -> A2,A3,A4,A5,A6 A4,A3,A4 -> A2,A3,A4,A5,A6,A7,A9 A4,A3,A5 -> A2,A3,A4,A5,A6,A7,A9 A4,A3,A6 -> A2,A3,A4,A5,A6,A7 A4,A3,A7 -> A3,A4 A4,A3,A8 -> A3,A4 A4,A3,A9 -> A3,A4 A4,A4,A0 -> A4,A5 A4,A4,A1 -> A4,A5 A4,A4,A2 -> A2,A3,A4,A5 A4,A4,A3 -> A2,A3,A4,A5,A6,A7,A8,A9 A4,A4,A4 -> A1,A2,A3,A4,A5,A6,A7,A8,A9 A4,A4,A5 -> A1,A2,A3,A4,A5,A6,A7,A8,A9 A4,A4,A6 -> A2,A3,A4,A5,A6,A7,A8 A4,A4,A7 -> A3,A4,A5,A6,A7 A4,A4,A8 -> A3,A4,A5,A6,A7 A4,A4,A9 -> A3,A4,A6,A7 A4,A5,A0 -> A4,A5 A4,A5,A1 -> A1,A2,A4,A5 A4,A5,A2 -> A1,A2,A3,A4,A5,A6 A4,A5,A3 -> A2,A3,A4,A5,A6,A7,A8,A9 A4,A5,A4 -> A1,A2,A3,A4,A5,A6,A7,A8,A9 A4,A5,A5 -> A1,A2,A3,A4,A5,A6,A7,A8 A4,A5,A6 -> A2,A3,A4,A5,A6,A7,A8 A4,A5,A7 -> A3,A4,A5,A6,A7 A4,A5,A8 -> A3,A4,A5,A6,A7 A4,A5,A9 -> A6,A7 A4,A6,A1 -> A1,A2 A4,A6,A2 -> A1,A2,A4,A5,A6,A7 A4,A6,A3 -> A2,A3,A4,A5,A6,A7,A8,A9 A4,A6,A4 -> A1,A2,A3,A4,A5,A6,A7,A8,A9 A4,A6,A5 -> A1,A2,A3,A4,A5,A6,A7,A8 A4,A6,A6 -> A3,A4,A5,A6,A7,A8 A4,A6,A7 -> A3,A4,A5,A6,A7,A8 A4,A6,A8 -> A4,A5,A6 A4,A7,A2 -> A6,A7 A4,A7,A3 -> A4,A5,A6,A7 A4,A7,A4 -> A2,A3,A4,A5,A6,A7 A4,A7,A5 -> A2,A3,A4,A5,A6,A7 A4,A7,A6 -> A3,A4,A5,A6,A7,A8 A4,A7,A7 -> A5,A6,A7,A8 A4,A8,A3 -> A2,A3,A5,A6 A4,A8,A4 -> A2,A3,A4,A5,A6 A4,A8,A5 -> A3,A4,A5,A6 A4,A8,A6 -> A5,A6,A7,A8 A4,A8,A7 -> A7,A8 A4,A9,A3 -> A2,A3 A4,A9,A4 -> A2,A3,A5,A6 A4,A9,A5 -> A5,A6 A4,A9,A6 -> A4,A5 A4,A9,A7 -> A4,A5 A5,A0,A4 -> A5,A6 A5,A0,A5 -> A5,A6 A5,A1,A1 -> A4,A5 A5,A1,A2 -> A4,A5 A5,A1,A3 -> A4,A5 A5,A1,A4 -> A4,A5,A6 A5,A1,A5 -> A4,A5,A6 A5,A2,A1 -> A4,A5 A5,A2,A2 -> A3,A4,A5 A5,A2,A3 -> A3,A4,A5,A6 A5,A2,A4 -> A3,A4,A5,A6,A7 A5,A2,A5 -> A2,A3,A4,A5,A6,A7 A5,A2,A6 -> A2,A3,A4,A6,A7 A5,A3,A2 -> A3,A4,A5 A5,A3,A3 -> A2,A3,A4,A5,A6 A5,A3,A4 -> A2,A3,A4,A5,A6,A7,A9 A5,A3,A5 -> A2,A3,A4,A5,A6,A7,A9 A5,A3,A6 -> A2,A3,A4,A5,A6,A7 A5,A3,A7 -> A3,A4,A5 A5,A3,A8 -> A3,A4,A5 A5,A3,A9 -> A3,A4,A5 A5,A4,A0 -> A4,A5 A5,A4,A1 -> A3,A4,A5 A5,A4,A2 -> A2,A3,A4,A5,A6 A5,A4,A3 -> A2,A3,A4,A5,A6,A7,A8,A9 A5,A4,A4 -> A2,A3,A4,A5,A6,A7,A8,A9 A5,A4,A5 -> A2,A3,A4,A5,A6,A7,A8,A9 A5,A4,A6 -> A2,A3,A4,A5,A6,A7,A8 A5,A4,A7 -> A3,A4,A5,A6,A7 A5,A4,A8 -> A3,A4,A5,A6,A7 A5,A4,A9 -> A3,A4,A5 A5,A5,A0 -> A4,A5 A5,A5,A1 -> A1,A2,A3,A4,A5 A5,A5,A2 -> A1,A2,A3,A4,A5,A6 A5,A5,A3 -> A2,A3,A4,A5,A6,A7,A8,A9 A5,A5,A4 -> A2,A3,A4,A5,A6,A7,A8,A9 A5,A5,A5 -> A2,A3,A4,A5,A6,A7,A8 A5,A5,A6 -> A2,A3,A4,A5,A6,A7,A8 A5,A5,A7 -> A1,A2,A3,A4,A5,A6,A7 A5,A5,A8 -> A1,A2,A3,A4,A5,A6,A7 A5,A6,A1 -> A1,A2 A5,A6,A2 -> A1,A2,A4,A5,A6,A7 A5,A6,A3 -> A3,A4,A5,A6,A7 A5,A6,A4 -> A2,A3,A4,A5,A6,A7 A5,A6,A5 -> A2,A3,A4,A5,A6,A7 A5,A6,A6 -> A2,A3,A4,A5,A6,A7,A8,A9 A5,A6,A7 -> A1,A2,A3,A4,A5,A6,A7,A8,A9 A5,A6,A8 -> A1,A2,A4,A5,A6 A5,A7,A1 -> A4,A5 A5,A7,A2 -> A4,A5,A6,A7 A5,A7,A3 -> A2,A3,A4,A5,A6,A7 A5,A7,A4 -> A2,A3,A4,A5,A6,A7 A5,A7,A5 -> A2,A3,A4,A5,A6,A7,A9 A5,A7,A6 -> A3,A4,A5,A6,A7,A8,A9 A5,A7,A7 -> A5,A6,A7,A8,A9 A5,A8,A1 -> A4,A5 A5,A8,A2 -> A4,A5 A5,A8,A3 -> A2,A3,A5,A6 A5,A8,A4 -> A2,A3,A4,A5,A6 A5,A8,A5 -> A3,A4,A5,A6,A9 A5,A8,A6 -> A5,A6,A7,A8,A9 A5,A8,A7 -> A7,A8 A5,A9,A1 -> A4,A5 A5,A9,A2 -> A4,A5 A5,A9,A6 -> A4,A5 A5,A9,A7 -> A4,A5 A6,A1,A1 -> A4,A5 A6,A1,A2 -> A4,A5 A6,A2,A1 -> A4,A5 A6,A2,A2 -> A4,A5 A6,A2,A3 -> A5,A6 A6,A2,A4 -> A3,A4,A5,A6 A6,A2,A5 -> A3,A4,A5,A6,A7 A6,A2,A6 -> A3,A4,A5,A6,A7 A6,A2,A7 -> A3,A4,A5,A6 A6,A3,A1 -> A1,A2 A6,A3,A2 -> A1,A2,A3,A4,A5 A6,A3,A3 -> A3,A4,A5,A6 A6,A3,A4 -> A3,A4,A5,A6,A7 A6,A3,A5 -> A2,A3,A4,A5,A6,A7 A6,A3,A6 -> A2,A3,A4,A5,A6,A7 A6,A3,A7 -> A3,A4,A5,A6 A6,A3,A8 -> A4,A5 A6,A3,A9 -> A4,A5 A6,A4,A1 -> A1,A2,A3,A4 A6,A4,A2 -> A1,A2,A3,A4,A5,A6 A6,A4,A3 -> A2,A3,A4,A5,A6 A6,A4,A4 -> A2,A3,A4,A5,A6,A7,A8 A6,A4,A5 -> A2,A3,A4,A5,A6,A7,A8 A6,A4,A6 -> A2,A3,A4,A5,A6,A7 A6,A4,A7 -> A2,A3,A4,A5,A6 A6,A4,A8 -> A4,A5 A6,A4,A9 -> A4,A5 A6,A5,A1 -> A3,A4 A6,A5,A2 -> A2,A3,A4,A5,A6 A6,A5,A3 -> A2,A3,A4,A5,A6,A7 A6,A5,A4 -> A2,A3,A4,A5,A6,A7,A8 A6,A5,A5 -> A2,A3,A4,A5,A6,A7,A8 A6,A5,A6 -> A2,A3,A4,A5,A6,A7,A8 A6,A5,A7 -> A1,A2,A3,A4,A5,A6 A6,A5,A8 -> A1,A2,A3,A4,A5,A6 A6,A6,A2 -> A4,A5,A6,A7 A6,A6,A3 -> A3,A4,A5,A6,A7 A6,A6,A4 -> A2,A3,A4,A5,A6,A7 A6,A6,A5 -> A2,A3,A4,A5,A6,A7,A8 A6,A6,A6 -> A2,A3,A4,A5,A6,A7,A8,A9 A6,A6,A7 -> A1,A2,A3,A4,A5,A6,A8,A9 A6,A6,A8 -> A1,A2,A3,A4,A5,A6 A6,A6,A9 -> A3,A4 A6,A7,A1 -> A4,A5 A6,A7,A2 -> A4,A5,A6,A7 A6,A7,A3 -> A2,A3,A4,A5,A6,A7 A6,A7,A4 -> A2,A3,A4,A5,A6,A7 A6,A7,A5 -> A2,A3,A4,A5,A6,A7,A9 A6,A7,A6 -> A3,A4,A5,A6,A8,A9 A6,A7,A7 -> A4,A5,A6,A8,A9 A6,A7,A8 -> A3,A4,A5 A6,A7,A9 -> A3,A4 A6,A8,A1 -> A4,A5 A6,A8,A2 -> A4,A5 A6,A8,A3 -> A2,A3,A4 A6,A8,A4 -> A2,A3,A4,A5,A6 A6,A8,A5 -> A2,A3,A4,A5,A6,A9 A6,A8,A6 -> A5,A6,A9 A6,A9,A1 -> A4,A5 A6,A9,A2 -> A4,A5 A6,A9,A3 -> A3,A4 A6,A9,A4 -> A3,A4 A7,A1,A4 -> A4,A5 A7,A1,A5 -> A4,A5 A7,A2,A4 -> A4,A5 A7,A2,A5 -> A4,A5 A7,A2,A6 -> A3,A4,A5,A6 A7,A2,A7 -> A3,A4,A5,A6 A7,A3,A1 -> A1,A2 A7,A3,A2 -> A1,A2,A3,A4 A7,A3,A3 -> A3,A4 A7,A3,A4 -> A3,A4,A5,A6,A7 A7,A3,A5 -> A3,A4,A5,A6,A7 A7,A3,A6 -> A3,A4,A5,A6,A7 A7,A3,A7 -> A3,A4,A5,A6 A7,A4,A1 -> A1,A2 A7,A4,A2 -> A1,A2,A3,A4,A5,A6 A7,A4,A3 -> A2,A3,A4,A5,A6 A7,A4,A4 -> A2,A3,A4,A5,A6,A7,A8 A7,A4,A5 -> A3,A4,A5,A6,A7,A8 A7,A4,A6 -> A2,A3,A4,A5,A6,A7 A7,A4,A7 -> A2,A3,A4,A5,A6 A7,A5,A2 -> A3,A4,A5,A6 A7,A5,A3 -> A2,A3,A4,A5,A6 A7,A5,A4 -> A2,A3,A4,A5,A6,A7,A8 A7,A5,A5 -> A3,A4,A5,A6,A7,A8 A7,A5,A6 -> A2,A3,A4,A5,A6,A7,A8 A7,A5,A7 -> A2,A3,A4,A5 A7,A5,A8 -> A3,A4 A7,A5,A9 -> A1,A2 A7,A6,A3 -> A3,A4,A5,A6 A7,A6,A4 -> A3,A4,A5,A6 A7,A6,A5 -> A3,A4,A5,A6,A7,A8 A7,A6,A6 -> A2,A3,A4,A5,A6,A7,A8 A7,A6,A7 -> A2,A3,A4,A5 A7,A6,A8 -> A3,A4,A5 A7,A6,A9 -> A1,A2,A3,A4 A7,A7,A4 -> A2,A3,A5,A6 A7,A7,A5 -> A2,A3,A4,A5,A6 A7,A7,A6 -> A3,A4,A5,A6 A7,A7,A7 -> A4,A5 A7,A7,A8 -> A3,A4,A5 A7,A7,A9 -> A3,A4 A7,A8,A3 -> A3,A4 A7,A8,A4 -> A2,A3,A4,A5,A6 A7,A8,A5 -> A2,A3,A5,A6 A7,A9,A3 -> A3,A4 A7,A9,A4 -> A3,A4 A8,A1,A4 -> A4,A5 A8,A1,A5 -> A4,A5 A8,A2,A4 -> A4,A5 A8,A2,A5 -> A4,A5 A8,A3,A2 -> A2,A3,A4 A8,A3,A3 -> A2,A3,A4 A8,A3,A4 -> A3,A4 A8,A3,A5 -> A4,A5 A8,A3,A6 -> A4,A5 A8,A4,A2 -> A2,A3,A4,A5,A6 A8,A4,A3 -> A2,A3,A4,A5,A6 A8,A4,A4 -> A3,A4,A5,A6 A8,A4,A5 -> A1,A2,A4,A5,A6 A8,A4,A6 -> A1,A2,A4,A5,A6 A8,A5,A2 -> A5,A6 A8,A5,A3 -> A4,A5,A6 A8,A5,A4 -> A4,A5,A6 A8,A5,A5 -> A1,A2,A4,A5,A6 A8,A5,A6 -> A1,A2,A4,A5,A6 A8,A5,A9 -> A1,A2 A8,A6,A5 -> A4,A5 A8,A6,A6 -> A4,A5 A8,A6,A7 -> A4,A5 A8,A6,A8 -> A4,A5 A8,A6,A9 -> A1,A2 A8,A7,A7 -> A4,A5 A8,A7,A8 -> A4,A5 A9,A1,A4 -> A6,A7 A9,A1,A5 -> A6,A7 A9,A2,A4 -> A6,A7 A9,A2,A5 -> A6,A7 A9,A3,A2 -> A2,A3 A9,A3,A3 -> A2,A3,A4 A9,A3,A4 -> A3,A4 A9,A4,A2 -> A2,A3 A9,A4,A3 -> A2,A3,A4 A9,A4,A4 -> A3,A4 A9,A4,A5 -> A1,A2 A9,A4,A6 -> A1,A2 A9,A5,A5 -> A1,A2 A9,A5,A6 -> A1,A2 A9,A6,A4 -> A6,A7 A9,A6,A5 -> A6,A7 A9,A7,A4 -> A6,A7 A9,A7,A5 -> A6,A7 SP5002: A1,A2 -> A5,A6 A1,A3 -> A5,A6 A1,A4 -> A5,A6 A1,A5 -> A5,A6 A2,A2 -> A4,A5,A6 A2,A3 -> A3,A4,A5,A6 A2,A4 -> A3,A4,A5,A6,A7 A2,A5 -> A4,A5,A6,A7 A2,A6 -> A4,A5,A6 A3,A2 -> A4,A5,A6 A3,A3 -> A3,A4,A5,A6,A7 A3,A4 -> A2,A3,A4,A5,A6,A7 A3,A5 -> A2,A3,A4,A5,A6,A7 A3,A6 -> A4,A5,A6,A7 A3,A7 -> A4,A5,A6,A7 A4,A1 -> A2,A3 A4,A2 -> A2,A3,A4,A5,A6 A4,A3 -> A2,A3,A4,A5,A6,A7 A4,A4 -> A2,A3,A4,A5,A6,A7 A4,A5 -> A2,A3,A4,A5,A6,A7,A8 A4,A6 -> A3,A4,A5,A6,A7,A8,A9 A4,A7 -> A4,A5,A6,A7,A8,A9 A5,A1 -> A2,A3 A5,A2 -> A2,A3,A4,A5 A5,A3 -> A2,A3,A4,A5,A6,A7 A5,A4 -> A1,A2,A3,A4,A5,A6,A7 A5,A5 -> A1,A2,A3,A4,A5,A6,A7,A8 A5,A6 -> A2,A3,A4,A5,A6,A7,A8,A9 A5,A7 -> A3,A4,A5,A6,A7,A8,A9 A5,A8 -> A4,A5,A6,A7,A8 A6,A1 -> A4,A5 A6,A2 -> A2,A3,A4,A5 A6,A3 -> A2,A3,A4,A5,A6,A7 A6,A4 -> A1,A2,A3,A4,A5,A6,A7 A6,A5 -> A1,A2,A3,A4,A5,A6,A7,A8 A6,A6 -> A2,A3,A4,A5,A6,A7,A8 A6,A7 -> A3,A4,A5,A6,A7,A8,A9 A6,A8 -> A3,A4,A5,A6,A7,A8,A9 A6,A9 -> A6,A7 A7,A1 -> A4,A5 A7,A2 -> A4,A5 A7,A3 -> A3,A4,A5,A6,A7 A7,A4 -> A2,A3,A4,A5,A6,A7 A7,A5 -> A2,A3,A4,A5,A6,A7 A7,A6 -> A3,A4,A5,A6,A7,A8 A7,A7 -> A3,A4,A5,A6,A7,A8,A9 A7,A8 -> A3,A4,A5,A6,A7,A8,A9 A7,A9 -> A6,A7 A8,A3 -> A3,A4 A8,A4 -> A3,A4 A8,A5 -> A3,A4,A5,A6 A8,A6 -> A3,A4,A5,A6,A7 A8,A7 -> A3,A4,A5,A6,A7 A8,A8 -> A4,A5,A6,A7 A8,A9 -> A6,A7 A9,A6 -> A1,A2,A3,A4,A5,A6 A9,A7 -> A1,A2,A3,A4,A5,A6 SP5003: A1,A2,A5 -> A4,A5 A1,A2,A6 -> A4,A5 A1,A3,A5 -> A4,A5 A1,A3,A6 -> A4,A5 A1,A4,A5 -> A5,A6 A1,A4,A6 -> A5,A6 A1,A5,A5 -> A5,A6 A1,A5,A6 -> A5,A6 A2,A2,A4 -> A5,A6 A2,A2,A5 -> A4,A5,A6 A2,A2,A6 -> A4,A5 A2,A3,A3 -> A4,A5 A2,A3,A4 -> A4,A5,A6,A7 A2,A3,A5 -> A4,A5,A6,A7 A2,A3,A6 -> A4,A5 A2,A4,A3 -> A4,A5 A2,A4,A4 -> A4,A5,A6,A7 A2,A4,A5 -> A4,A5,A6,A7 A2,A4,A6 -> A4,A5,A6 A2,A4,A7 -> A4,A5 A2,A5,A4 -> A3,A4,A5,A6 A2,A5,A5 -> A3,A4,A5,A6 A2,A5,A6 -> A4,A5,A6 A2,A5,A7 -> A4,A5 A2,A6,A4 -> A3,A4 A2,A6,A5 -> A3,A4,A5 A2,A6,A6 -> A4,A5 A3,A2,A4 -> A5,A6 A3,A2,A5 -> A5,A6 A3,A2,A6 -> A5,A6 A3,A3,A3 -> A4,A5,A6 A3,A3,A4 -> A2,A3,A4,A5,A6,A7 A3,A3,A5 -> A2,A3,A4,A5,A6,A7 A3,A3,A6 -> A4,A5,A6,A7 A3,A3,A7 -> A4,A5,A6 A3,A4,A2 -> A3,A4,A5 A3,A4,A3 -> A3,A4,A5,A6 A3,A4,A4 -> A2,A3,A4,A5,A6,A7 A3,A4,A5 -> A2,A3,A4,A5,A6,A7 A3,A4,A6 -> A3,A4,A5,A6,A7,A8 A3,A4,A7 -> A4,A5,A6,A7,A8 A3,A5,A2 -> A3,A4,A5 A3,A5,A3 -> A3,A4,A5 A3,A5,A4 -> A3,A4,A5,A6,A7 A3,A5,A5 -> A3,A4,A5,A6,A7 A3,A5,A6 -> A3,A4,A5,A6,A7,A8 A3,A5,A7 -> A3,A4,A5,A6,A7,A8 A3,A6,A4 -> A2,A3,A4,A5,A6 A3,A6,A5 -> A2,A3,A4,A5,A6,A7 A3,A6,A6 -> A3,A4,A5,A6,A7 A3,A6,A7 -> A3,A4,A5,A6 A3,A7,A4 -> A2,A3 A3,A7,A5 -> A2,A3,A4,A5 A3,A7,A6 -> A3,A4,A5 A3,A7,A7 -> A4,A5 A4,A1,A2 -> A5,A6 A4,A1,A3 -> A5,A6 A4,A2,A2 -> A5,A6 A4,A2,A3 -> A3,A4,A5,A6 A4,A2,A4 -> A3,A4,A5,A6,A7 A4,A2,A5 -> A4,A5,A6,A7 A4,A2,A6 -> A5,A6 A4,A3,A2 -> A5,A6 A4,A3,A3 -> A3,A4,A5,A6 A4,A3,A4 -> A2,A3,A4,A5,A6,A7 A4,A3,A5 -> A2,A3,A4,A5,A6,A7 A4,A3,A6 -> A4,A5,A6,A7 A4,A3,A7 -> A4,A5,A6,A7 A4,A4,A2 -> A3,A4,A5,A6 A4,A4,A3 -> A3,A4,A5,A6 A4,A4,A4 -> A2,A3,A4,A5,A6,A7 A4,A4,A5 -> A2,A3,A4,A5,A6,A7,A8 A4,A4,A6 -> A3,A4,A5,A6,A7,A8,A9 A4,A4,A7 -> A4,A5,A6,A7,A8,A9 A4,A5,A2 -> A3,A4,A5 A4,A5,A3 -> A3,A4,A5 A4,A5,A4 -> A2,A3,A4,A5,A6,A7 A4,A5,A5 -> A2,A3,A4,A5,A6,A7,A8 A4,A5,A6 -> A3,A4,A5,A6,A7,A8,A9 A4,A5,A7 -> A3,A4,A5,A6,A7,A8,A9 A4,A5,A8 -> A4,A5,A6,A7 A4,A6,A3 -> A3,A4,A5 A4,A6,A4 -> A2,A3,A4,A5,A6 A4,A6,A5 -> A2,A3,A4,A5,A6,A7,A8 A4,A6,A6 -> A3,A4,A5,A6,A7,A8 A4,A6,A7 -> A3,A4,A5,A6,A7,A8 A4,A6,A8 -> A4,A5,A6,A7 A4,A6,A9 -> A6,A7 A4,A7,A4 -> A2,A3,A4,A5,A6 A4,A7,A5 -> A2,A3,A4,A5,A6 A4,A7,A6 -> A3,A4,A5,A6 A4,A7,A7 -> A3,A4,A5,A6,A7 A4,A7,A8 -> A6,A7 A4,A7,A9 -> A6,A7 A5,A1,A2 -> A5,A6 A5,A1,A3 -> A5,A6 A5,A2,A2 -> A4,A5,A6 A5,A2,A3 -> A3,A4,A5,A6 A5,A2,A4 -> A3,A4,A5,A6,A7 A5,A2,A5 -> A4,A5,A6,A7 A5,A3,A2 -> A4,A5,A6 A5,A3,A3 -> A3,A4,A5,A6,A7 A5,A3,A4 -> A2,A3,A4,A5,A6,A7 A5,A3,A5 -> A2,A3,A4,A5,A6,A7 A5,A3,A6 -> A4,A5,A6,A7 A5,A3,A7 -> A6,A7 A5,A4,A1 -> A2,A3 A5,A4,A2 -> A2,A3,A4,A5,A6 A5,A4,A3 -> A3,A4,A5,A6,A7 A5,A4,A4 -> A2,A3,A4,A5,A6,A7 A5,A4,A5 -> A2,A3,A4,A5,A6,A7,A8 A5,A4,A6 -> A3,A4,A5,A6,A7,A8,A9 A5,A4,A7 -> A4,A5,A6,A7,A8,A9 A5,A5,A1 -> A2,A3 A5,A5,A2 -> A2,A3,A4,A5 A5,A5,A3 -> A2,A3,A4,A5,A6 A5,A5,A4 -> A2,A3,A4,A5,A6,A7 A5,A5,A5 -> A2,A3,A4,A5,A6,A7,A8 A5,A5,A6 -> A2,A3,A4,A5,A6,A7,A8,A9 A5,A5,A7 -> A3,A4,A5,A6,A7,A8,A9 A5,A5,A8 -> A4,A5,A6,A7,A8 A5,A6,A2 -> A2,A3 A5,A6,A3 -> A2,A3,A4,A5,A6 A5,A6,A4 -> A2,A3,A4,A5,A6,A7 A5,A6,A5 -> A2,A3,A4,A5,A6,A7,A8 A5,A6,A6 -> A2,A3,A4,A5,A6,A7,A8 A5,A6,A7 -> A3,A4,A5,A6,A7,A8,A9 A5,A6,A8 -> A4,A5,A6,A7,A8,A9 A5,A6,A9 -> A6,A7 A5,A7,A3 -> A3,A4,A5 A5,A7,A4 -> A3,A4,A5,A6 A5,A7,A5 -> A3,A4,A5,A6,A7 A5,A7,A6 -> A3,A4,A5,A6,A7,A8 A5,A7,A7 -> A3,A4,A5,A6,A7,A8,A9 A5,A7,A8 -> A4,A5,A6,A7,A8,A9 A5,A7,A9 -> A6,A7 A5,A8,A4 -> A3,A4 A5,A8,A5 -> A3,A4 A5,A8,A6 -> A3,A4,A5 A5,A8,A7 -> A3,A4,A5 A5,A8,A8 -> A4,A5 A6,A1,A4 -> A5,A6 A6,A1,A5 -> A5,A6 A6,A2,A2 -> A4,A5 A6,A2,A3 -> A4,A5 A6,A2,A4 -> A5,A6 A6,A2,A5 -> A5,A6 A6,A3,A2 -> A4,A5 A6,A3,A3 -> A3,A4,A5,A6,A7 A6,A3,A4 -> A3,A4,A5,A6,A7 A6,A3,A5 -> A4,A5,A6,A7 A6,A3,A6 -> A5,A6 A6,A3,A7 -> A5,A6 A6,A4,A1 -> A2,A3 A6,A4,A2 -> A2,A3,A4,A5 A6,A4,A3 -> A3,A4,A5,A6,A7 A6,A4,A4 -> A3,A4,A5,A6,A7 A6,A4,A5 -> A3,A4,A5,A6,A7,A8 A6,A4,A6 -> A3,A4,A5,A6,A7,A8 A6,A4,A7 -> A4,A5,A6,A7 A6,A5,A1 -> A2,A3 A6,A5,A2 -> A2,A3,A4,A5 A6,A5,A3 -> A2,A3,A4,A5,A6 A6,A5,A4 -> A1,A2,A3,A4,A5,A6,A7 A6,A5,A5 -> A1,A2,A3,A4,A5,A6,A7,A8 A6,A5,A6 -> A2,A3,A4,A5,A6,A7,A8 A6,A5,A7 -> A3,A4,A5,A6,A7,A8 A6,A5,A8 -> A6,A7,A8 A6,A6,A2 -> A2,A3 A6,A6,A3 -> A2,A3,A4,A5,A6 A6,A6,A4 -> A1,A2,A3,A4,A5,A6,A7 A6,A6,A5 -> A1,A2,A3,A4,A5,A6,A7,A8 A6,A6,A6 -> A2,A3,A4,A5,A6,A7,A8 A6,A6,A7 -> A3,A4,A5,A6,A7,A8,A9 A6,A6,A8 -> A3,A4,A5,A6,A7,A8,A9 A6,A7,A3 -> A3,A4,A5 A6,A7,A4 -> A3,A4,A5,A6 A6,A7,A5 -> A3,A4,A5,A6,A7 A6,A7,A6 -> A3,A4,A5,A6,A7,A8 A6,A7,A7 -> A3,A4,A5,A6,A7,A8,A9 A6,A7,A8 -> A3,A4,A5,A6,A7,A8,A9 A6,A7,A9 -> A6,A7 A6,A8,A3 -> A3,A4 A6,A8,A4 -> A3,A4 A6,A8,A5 -> A3,A4,A5,A6 A6,A8,A6 -> A3,A4,A5,A6,A7 A6,A8,A7 -> A3,A4,A5,A6,A7 A6,A8,A8 -> A4,A5,A6,A7 A6,A8,A9 -> A6,A7 A6,A9,A6 -> A5,A6 A6,A9,A7 -> A5,A6 A7,A1,A4 -> A5,A6 A7,A1,A5 -> A5,A6 A7,A2,A4 -> A5,A6 A7,A2,A5 -> A5,A6 A7,A3,A3 -> A3,A4,A5,A6,A7 A7,A3,A4 -> A3,A4,A5,A6,A7 A7,A3,A5 -> A5,A6,A7 A7,A3,A6 -> A5,A6 A7,A3,A7 -> A5,A6 A7,A4,A2 -> A4,A5 A7,A4,A3 -> A2,A3,A4,A5,A6,A7 A7,A4,A4 -> A2,A3,A4,A5,A6,A7 A7,A4,A5 -> A3,A4,A5,A6,A7,A8 A7,A4,A6 -> A3,A4,A5,A6,A7,A8 A7,A4,A7 -> A5,A6 A7,A5,A2 -> A4,A5 A7,A5,A3 -> A2,A3,A4,A5,A6,A7 A7,A5,A4 -> A1,A2,A3,A4,A5,A6,A7 A7,A5,A5 -> A1,A2,A3,A4,A5,A6,A7,A8 A7,A5,A6 -> A3,A4,A5,A6,A7,A8 A7,A5,A7 -> A5,A6,A7,A8 A7,A6,A3 -> A3,A4,A5,A6 A7,A6,A4 -> A1,A2,A3,A4,A5,A6,A7 A7,A6,A5 -> A1,A2,A3,A4,A5,A6,A7,A8 A7,A6,A6 -> A3,A4,A5,A6,A7,A8 A7,A6,A7 -> A3,A4,A5,A6,A7,A8 A7,A6,A8 -> A3,A4 A7,A7,A3 -> A3,A4,A5,A6 A7,A7,A4 -> A3,A4,A5,A6,A7 A7,A7,A5 -> A3,A4,A5,A6,A7 A7,A7,A6 -> A3,A4,A5,A6,A7,A8 A7,A7,A7 -> A3,A4,A5,A6,A7,A8 A7,A7,A8 -> A3,A4,A6,A7 A7,A7,A9 -> A6,A7 A7,A8,A3 -> A3,A4 A7,A8,A4 -> A3,A4 A7,A8,A5 -> A3,A4,A5,A6 A7,A8,A6 -> A3,A4,A5,A6,A7 A7,A8,A7 -> A3,A4,A5,A6,A7 A7,A8,A8 -> A6,A7 A7,A8,A9 -> A6,A7 A7,A9,A6 -> A1,A2,A3,A4,A5,A6 A7,A9,A7 -> A1,A2,A3,A4,A5,A6 A8,A3,A3 -> A4,A5,A6 A8,A3,A4 -> A4,A5,A6 A8,A4,A3 -> A2,A3,A4,A5,A6,A7 A8,A4,A4 -> A2,A3,A4,A5,A6,A7 A8,A5,A3 -> A2,A3,A6,A7 A8,A5,A4 -> A2,A3,A6,A7 A8,A5,A5 -> A5,A6 A8,A5,A6 -> A5,A6 A8,A6,A3 -> A3,A4,A5,A6,A7 A8,A6,A4 -> A3,A4,A5,A6,A7 A8,A6,A5 -> A3,A4,A5,A6,A7 A8,A6,A6 -> A5,A6,A7,A8 A8,A6,A7 -> A7,A8 A8,A7,A3 -> A3,A4,A5,A6,A7 A8,A7,A4 -> A3,A4,A5,A6,A7 A8,A7,A5 -> A3,A4,A5,A6,A7 A8,A7,A6 -> A4,A5,A6,A7,A8 A8,A7,A7 -> A4,A5,A7,A8 A8,A8,A4 -> A3,A4 A8,A8,A5 -> A3,A4 A8,A8,A6 -> A3,A4,A5 A8,A8,A7 -> A3,A4,A5 A8,A9,A6 -> A1,A2,A3,A4 A8,A9,A7 -> A1,A2,A3,A4 A9,A6,A1 -> A4,A5 A9,A6,A2 -> A4,A5 A9,A6,A3 -> A6,A7 A9,A6,A4 -> A6,A7 A9,A6,A5 -> A5,A6 A9,A6,A6 -> A5,A6 A9,A7,A1 -> A4,A5 A9,A7,A2 -> A4,A5 A9,A7,A3 -> A6,A7 A9,A7,A4 -> A6,A7 A9,A7,A5 -> A5,A6 A9,A7,A6 -> A5,A6 NASDAQ2: A0,A2 -> A2,A3,A6,A7 A0,A3 -> A2,A3,A6,A7 A0,A4 -> A4,A5 A0,A5 -> A4,A5,A6,A7 A0,A6 -> A6,A7 A1,A1 -> A3,A4 A1,A2 -> A2,A3,A4,A5,A6,A7 A1,A3 -> A1,A2,A3,A4,A5,A6,A7 A1,A4 -> A1,A2,A3,A4,A5 A1,A5 -> A2,A3,A4,A5,A6,A7 A1,A6 -> A4,A5,A6,A7 A1,A7 -> A4,A5 A2,A0 -> A5,A6 A2,A1 -> A3,A4,A5,A6 A2,A2 -> A3,A4,A5,A6 A2,A3 -> A1,A2,A3,A4,A5,A6 A2,A4 -> A1,A2,A3,A4,A5,A6 A2,A5 -> A1,A2,A3,A4,A5,A6 A2,A6 -> A3,A4,A5 A2,A7 -> A4,A5 A3,A0 -> A2,A3,A4,A5,A6 A3,A1 -> A1,A2,A3,A4,A5,A6 A3,A2 -> A0,A1,A2,A3,A4,A5,A6 A3,A3 -> A0,A1,A2,A3,A4,A5,A6 A3,A4 -> A0,A1,A2,A3,A4,A5,A6 A3,A5 -> A1,A2,A3,A4,A5,A6 A3,A6 -> A3,A4,A5 A3,A7 -> A4,A5 A4,A0 -> A2,A3,A4,A5 A4,A1 -> A1,A2,A3,A4,A5,A6,A7 A4,A2 -> A0,A1,A2,A3,A4,A5,A6,A7 A4,A3 -> A0,A1,A2,A3,A4,A5,A6,A7 A4,A4 -> A0,A1,A2,A3,A4,A5,A6,A7 A4,A5 -> A0,A1,A2,A3,A4,A5,A6,A7 A4,A6 -> A0,A1,A2,A3,A4,A5,A6,A7 A4,A7 -> A4,A5 A5,A0 -> A2,A3 A5,A1 -> A2,A3,A4,A6,A7 A5,A2 -> A2,A3,A4,A5,A6,A7 A5,A3 -> A0,A1,A2,A3,A4,A5,A6,A7 A5,A4 -> A0,A1,A2,A3,A4,A5,A6,A7 A5,A5 -> A0,A1,A2,A3,A4,A5,A6,A7 A5,A6 -> A0,A1,A2,A3,A4,A5,A6,A7 A5,A7 -> A1,A2,A3,A4 A6,A0 -> A2,A3 A6,A1 -> A2,A3,A4 A6,A2 -> A3,A4,A5,A6 A6,A3 -> A1,A2,A3,A4,A5,A6 A6,A4 -> A1,A2,A3,A4,A5,A6 A6,A5 -> A1,A2,A3,A4,A5,A6 A6,A6 -> A1,A2,A3,A4 A6,A7 -> A1,A2,A3,A4 A7,A1 -> A3,A4 A7,A2 -> A3,A4 A7,A3 -> A3,A4 A7,A4 -> A1,A2,A3,A4,A5,A6 A7,A5 -> A1,A2,A4,A5,A6 NASDAQ3: A0,A2,A2 -> A5,A6 A0,A2,A3 -> A5,A6 A0,A2,A6 -> A4,A5 A0,A2,A7 -> A4,A5 A0,A3,A2 -> A5,A6 A0,A3,A3 -> A5,A6 A0,A3,A6 -> A4,A5 A0,A3,A7 -> A4,A5 A0,A4,A4 -> A3,A4 A0,A4,A5 -> A3,A4 A0,A5,A4 -> A3,A4 A0,A5,A5 -> A3,A4 A0,A5,A6 -> A1,A2 A0,A5,A7 -> A1,A2 A0,A6,A6 -> A1,A2 A0,A6,A7 -> A1,A2 A1,A1,A3 -> A3,A4 A1,A1,A4 -> A3,A4 A1,A2,A2 -> A5,A6 A1,A2,A3 -> A3,A4,A5,A6 A1,A2,A4 -> A1,A2,A3,A4 A1,A2,A5 -> A1,A2 A1,A2,A6 -> A4,A5 A1,A2,A7 -> A4,A5 A1,A3,A1 -> A2,A3,A4,A5 A1,A3,A2 -> A2,A3,A4,A5,A6 A1,A3,A3 -> A1,A2,A3,A4,A5,A6 A1,A3,A4 -> A1,A2,A3,A4,A5,A6 A1,A3,A5 -> A1,A2,A3,A4,A5 A1,A3,A6 -> A4,A5 A1,A3,A7 -> A4,A5 A1,A4,A1 -> A2,A3,A4,A5 A1,A4,A2 -> A2,A3,A4,A5 A1,A4,A3 -> A1,A2,A3,A4,A5,A6 A1,A4,A4 -> A1,A2,A3,A4,A5,A6 A1,A4,A5 -> A3,A4,A5 A1,A5,A2 -> A2,A3 A1,A5,A3 -> A2,A3 A1,A5,A4 -> A3,A4 A1,A5,A5 -> A3,A4 A1,A5,A6 -> A1,A2 A1,A5,A7 -> A1,A2 A1,A6,A4 -> A5,A6 A1,A6,A5 -> A5,A6 A1,A6,A6 -> A1,A2 A1,A6,A7 -> A1,A2 A1,A7,A4 -> A5,A6 A1,A7,A5 -> A5,A6 A2,A0,A5 -> A6,A7 A2,A0,A6 -> A6,A7 A2,A1,A3 -> A3,A4 A2,A1,A4 -> A3,A4 A2,A1,A5 -> A6,A7 A2,A1,A6 -> A6,A7 A2,A2,A3 -> A3,A4,A5 A2,A2,A4 -> A1,A2,A3,A4,A5 A2,A2,A5 -> A1,A2,A3,A4,A5 A2,A2,A6 -> A4,A5 A2,A3,A1 -> A2,A3,A4,A5 A2,A3,A2 -> A2,A3,A4,A5 A2,A3,A3 -> A1,A2,A3,A4,A5,A6 A2,A3,A4 -> A1,A2,A3,A4,A5,A6 A2,A3,A5 -> A1,A2,A3,A4,A5,A6 A2,A3,A6 -> A4,A5 A2,A4,A1 -> A2,A3,A4,A5 A2,A4,A2 -> A2,A3,A4,A5 A2,A4,A3 -> A1,A2,A3,A4,A5,A6 A2,A4,A4 -> A1,A2,A3,A4,A5,A6 A2,A4,A5 -> A2,A3,A4,A5,A6 A2,A4,A6 -> A3,A4,A5 A2,A5,A1 -> A3,A4 A2,A5,A2 -> A2,A3,A4 A2,A5,A3 -> A2,A3,A4,A5,A6 A2,A5,A4 -> A2,A3,A4,A5,A6 A2,A5,A5 -> A2,A3,A4,A5 A2,A5,A6 -> A3,A4,A5 A2,A6,A3 -> A5,A6 A2,A6,A4 -> A1,A2,A3,A4,A5,A6 A2,A6,A5 -> A1,A2,A3,A4,A5,A6 A2,A7,A4 -> A1,A2,A5,A6 A2,A7,A5 -> A1,A2,A5,A6 A3,A0,A2 -> A2,A3 A3,A0,A3 -> A2,A3 A3,A0,A4 -> A4,A5 A3,A0,A5 -> A4,A5,A6,A7 A3,A0,A6 -> A6,A7 A3,A1,A1 -> A3,A4 A3,A1,A2 -> A2,A3,A4,A5 A3,A1,A3 -> A2,A3,A4,A5 A3,A1,A4 -> A2,A3,A4,A5 A3,A1,A5 -> A2,A3,A4,A5,A6,A7 A3,A1,A6 -> A6,A7 A3,A2,A0 -> A5,A6 A3,A2,A1 -> A3,A4,A5,A6 A3,A2,A2 -> A3,A4,A5 A3,A2,A3 -> A2,A3,A4,A5 A3,A2,A4 -> A2,A3,A4,A5,A6 A3,A2,A5 -> A2,A3,A4,A5,A6 A3,A2,A6 -> A4,A5 A3,A3,A0 -> A2,A3,A5,A6 A3,A3,A1 -> A1,A2,A3,A4,A5,A6 A3,A3,A2 -> A1,A2,A3,A4,A5,A6 A3,A3,A3 -> A0,A1,A2,A3,A4,A5,A6 A3,A3,A4 -> A0,A1,A2,A3,A4,A5,A6 A3,A3,A5 -> A1,A2,A3,A4,A5,A6 A3,A3,A6 -> A3,A4,A5 A3,A4,A0 -> A2,A3 A3,A4,A1 -> A1,A2,A3,A4,A6,A7 A3,A4,A2 -> A1,A2,A3,A4,A5,A6,A7 A3,A4,A3 -> A0,A1,A2,A3,A4,A5,A6,A7 A3,A4,A4 -> A0,A1,A2,A3,A4,A5,A6,A7 A3,A4,A5 -> A1,A2,A3,A4,A5,A6,A7 A3,A4,A6 -> A3,A4,A5,A6,A7 A3,A5,A1 -> A3,A4,A6,A7 A3,A5,A2 -> A2,A3,A4,A5,A6,A7 A3,A5,A3 -> A2,A3,A4,A5,A6,A7 A3,A5,A4 -> A1,A2,A3,A4,A5,A6,A7 A3,A5,A5 -> A1,A2,A3,A4,A5,A6,A7 A3,A5,A6 -> A3,A4,A5,A6,A7 A3,A6,A3 -> A3,A4,A5,A6 A3,A6,A4 -> A1,A2,A3,A4,A5,A6 A3,A6,A5 -> A1,A2,A3,A4,A5 A3,A7,A4 -> A1,A2,A4,A5 A3,A7,A5 -> A1,A2,A4,A5 A4,A0,A2 -> A2,A3 A4,A0,A3 -> A2,A3 A4,A0,A4 -> A4,A5 A4,A0,A5 -> A4,A5 A4,A1,A1 -> A3,A4 A4,A1,A2 -> A2,A3,A4,A5 A4,A1,A3 -> A1,A2,A3,A4,A5 A4,A1,A4 -> A1,A2,A3,A4,A5 A4,A1,A5 -> A2,A3,A4,A5 A4,A1,A6 -> A4,A5 A4,A1,A7 -> A4,A5 A4,A2,A0 -> A5,A6 A4,A2,A1 -> A3,A4,A5,A6 A4,A2,A2 -> A3,A4,A5 A4,A2,A3 -> A1,A2,A3,A4,A5 A4,A2,A4 -> A1,A2,A3,A4,A5,A6 A4,A2,A5 -> A2,A3,A4,A5,A6 A4,A2,A6 -> A4,A5 A4,A2,A7 -> A4,A5 A4,A3,A0 -> A2,A3,A4,A5,A6 A4,A3,A1 -> A1,A2,A3,A4,A5,A6 A4,A3,A2 -> A1,A2,A3,A4,A5,A6 A4,A3,A3 -> A0,A1,A2,A3,A4,A5,A6 A4,A3,A4 -> A0,A1,A2,A3,A4,A5,A6 A4,A3,A5 -> A1,A2,A3,A4,A5,A6 A4,A3,A6 -> A3,A4,A5 A4,A3,A7 -> A4,A5 A4,A4,A0 -> A2,A3,A4,A5 A4,A4,A1 -> A1,A2,A3,A4,A5,A6,A7 A4,A4,A2 -> A1,A2,A3,A4,A5,A6,A7 A4,A4,A3 -> A0,A1,A2,A3,A4,A5,A6,A7 A4,A4,A4 -> A0,A1,A2,A3,A4,A5,A6,A7 A4,A4,A5 -> A0,A1,A2,A3,A4,A5,A6,A7 A4,A4,A6 -> A0,A1,A2,A3,A4,A5,A6,A7 A4,A4,A7 -> A4,A5 A4,A5,A0 -> A2,A3 A4,A5,A1 -> A2,A3,A4,A6,A7 A4,A5,A2 -> A2,A3,A4,A5,A6,A7 A4,A5,A3 -> A0,A1,A2,A3,A4,A5,A6,A7 A4,A5,A4 -> A0,A1,A2,A3,A4,A5,A6,A7 A4,A5,A5 -> A0,A1,A2,A3,A4,A5,A6,A7 A4,A5,A6 -> A0,A1,A2,A3,A4,A5,A6,A7 A4,A5,A7 -> A3,A4 A4,A6,A0 -> A2,A3 A4,A6,A1 -> A2,A3 A4,A6,A2 -> A3,A4,A5,A6 A4,A6,A3 -> A1,A2,A3,A4,A5,A6 A4,A6,A4 -> A1,A2,A3,A4,A5 A4,A6,A5 -> A1,A2,A3,A4,A5 A4,A6,A6 -> A3,A4 A4,A6,A7 -> A3,A4 A4,A7,A4 -> A4,A5 A4,A7,A5 -> A4,A5 A5,A0,A2 -> A6,A7 A5,A0,A3 -> A6,A7 A5,A1,A2 -> A6,A7 A5,A1,A3 -> A1,A2,A3,A4,A5,A6,A7 A5,A1,A4 -> A1,A2,A3,A4,A5 A5,A1,A6 -> A4,A5 A5,A1,A7 -> A4,A5 A5,A2,A2 -> A3,A4,A5 A5,A2,A3 -> A1,A2,A3,A4,A5 A5,A2,A4 -> A1,A2,A3,A4,A5,A6 A5,A2,A5 -> A2,A3,A4,A5,A6 A5,A2,A6 -> A3,A4,A5 A5,A2,A7 -> A4,A5 A5,A3,A0 -> A4,A5 A5,A3,A1 -> A3,A4,A5 A5,A3,A2 -> A1,A2,A3,A4,A5 A5,A3,A3 -> A1,A2,A3,A4,A5,A6 A5,A3,A4 -> A1,A2,A3,A4,A5,A6 A5,A3,A5 -> A1,A2,A3,A4,A5,A6 A5,A3,A6 -> A3,A4,A5 A5,A3,A7 -> A4,A5 A5,A4,A0 -> A4,A5 A5,A4,A1 -> A3,A4,A5 A5,A4,A2 -> A1,A2,A3,A4,A5 A5,A4,A3 -> A0,A1,A2,A3,A4,A5,A6 A5,A4,A4 -> A0,A1,A2,A3,A4,A5,A6 A5,A4,A5 -> A0,A1,A2,A3,A4,A5,A6 A5,A4,A6 -> A0,A1,A2,A3,A4,A5 A5,A4,A7 -> A4,A5 A5,A5,A0 -> A2,A3 A5,A5,A1 -> A2,A3,A4 A5,A5,A2 -> A2,A3,A4,A5,A6 A5,A5,A3 -> A0,A1,A2,A3,A4,A5,A6 A5,A5,A4 -> A0,A1,A2,A3,A4,A5,A6 A5,A5,A5 -> A0,A1,A2,A3,A4,A5,A6 A5,A5,A6 -> A0,A1,A2,A3,A4,A5 A5,A5,A7 -> A3,A4 A5,A6,A0 -> A2,A3 A5,A6,A1 -> A2,A3,A4 A5,A6,A2 -> A3,A4,A5,A6 A5,A6,A3 -> A1,A2,A3,A4,A5,A6 A5,A6,A4 -> A1,A2,A3,A4,A5 A5,A6,A5 -> A1,A2,A3,A4,A5 A5,A6,A6 -> A3,A4 A5,A6,A7 -> A3,A4 A5,A7,A1 -> A3,A4 A5,A7,A2 -> A3,A4 A5,A7,A3 -> A3,A4 A5,A7,A4 -> A3,A4 A6,A0,A2 -> A6,A7 A6,A0,A3 -> A6,A7 A6,A1,A2 -> A6,A7 A6,A1,A3 -> A1,A2,A6,A7 A6,A1,A4 -> A1,A2 A6,A2,A3 -> A1,A2,A3,A4 A6,A2,A4 -> A1,A2,A3,A4 A6,A2,A5 -> A3,A4 A6,A2,A6 -> A3,A4 A6,A3,A1 -> A3,A4 A6,A3,A2 -> A3,A4 A6,A3,A3 -> A3,A4,A5 A6,A3,A4 -> A3,A4,A5 A6,A3,A5 -> A3,A4,A5 A6,A3,A6 -> A3,A4,A5 A6,A4,A1 -> A3,A4 A6,A4,A2 -> A3,A4 A6,A4,A3 -> A3,A4,A5 A6,A4,A4 -> A2,A3,A4,A5 A6,A4,A5 -> A2,A3,A4,A5 A6,A4,A6 -> A4,A5 A6,A5,A1 -> A3,A4 A6,A5,A2 -> A3,A4 A6,A5,A3 -> A3,A4,A5 A6,A5,A4 -> A2,A3,A4,A5 A6,A5,A5 -> A2,A3,A4,A5 A6,A5,A6 -> A4,A5 A6,A6,A1 -> A3,A4 A6,A6,A2 -> A3,A4 A6,A6,A3 -> A3,A4 A6,A6,A4 -> A3,A4 A6,A7,A1 -> A3,A4 A6,A7,A2 -> A3,A4 A6,A7,A3 -> A3,A4 A6,A7,A4 -> A3,A4 A7,A1,A3 -> A1,A2 A7,A1,A4 -> A1,A2 A7,A2,A3 -> A1,A2 A7,A2,A4 -> A1,A2 A7,A3,A3 -> A3,A4 A7,A3,A4 -> A3,A4 A7,A4,A1 -> A3,A4 A7,A4,A2 -> A3,A4 A7,A4,A3 -> A3,A4 A7,A4,A4 -> A3,A4,A5 A7,A4,A5 -> A4,A5 A7,A4,A6 -> A4,A5 A7,A5,A1 -> A3,A4 A7,A5,A2 -> A3,A4 A7,A5,A4 -> A4,A5 A7,A5,A5 -> A4,A5 A7,A5,A6 -> A4,A5
Predicting with the models¶
In [16]:
fig, ax = plt.subplots(nrows=3, ncols=1, figsize=[20,10])
for count,dataset_name in enumerate(dataset_names):
dataset = get_dataset(dataset_name)
for order in [2,3]:
ax[count].plot(dataset[train_split:train_split+200])
model1 = cUtil.load_obj('model1'+dataset_name+str(order))
forecasts = model1.predict(dataset[train_split:train_split+200])
ax[count].plot(forecasts)
ax[count].set_title(dataset_name)
plt.tight_layout()
In [ ]:
from pyFTS.benchmarks import Measures
rows = []
for count,dataset_name in enumerate(dataset_names):
dataset = get_dataset(dataset_name)
for order in [2,3]:
row = [order, dataset_name]
test = dataset[train_split:train_split+200]
model1 = cUtil.load_obj('model1'+dataset_name+str(order))
row.extend(Measures.get_point_statistics(test, model1))
rows.append(row)
pd.DataFrame(rows,columns=["Order","Dataset","RMSE","SMAPE","Theil's U"])
In [17]:
fig, ax = plt.subplots(nrows=3, ncols=1, figsize=[20,10])
for count,dataset_name in enumerate(dataset_names):
dataset = get_dataset(dataset_name)
for order in [2,3]:
ax[count].plot(dataset[train_split:train_split+200])
model1 = cUtil.load_obj('model2'+dataset_name+str(order))
forecasts = model1.predict(dataset[train_split:train_split+200])
ax[count].plot(forecasts)
ax[count].set_title(dataset_name)
plt.tight_layout()
In [ ]:
from pyFTS.benchmarks import Measures
rows = []
for count,dataset_name in enumerate(dataset_names):
dataset = get_dataset(dataset_name)
for order in [2,3]:
row = [order, dataset_name]
test = dataset[train_split:train_split+200]
model1 = cUtil.load_obj('model2'+dataset_name+str(order))
row.extend(Measures.get_point_statistics(test, model1))
rows.append(row)
pd.DataFrame(rows,columns=["Order","Dataset","RMSE","SMAPE","Theil's U"])
Residual Analysis¶
In [34]:
from pyFTS.benchmarks import ResidualAnalysis as ra
for count,dataset_name in enumerate(dataset_names):
dataset = get_dataset(dataset_name)
model1 = cUtil.load_obj('model1'+dataset_name)
model1 = cUtil.load_obj('model2'+dataset_name)
ra.plot_residuals(dataset, [model1, model2])
In [ ]:
In [ ]: