I recently refactored my basic kernel support vector regression system, implemented from scratch, using Python. I tested my refactored code using synthetic data, but I figured I should run the system on some real world data.
One of the standard datasets for machine learning regression problems is the Boston Area House dataset. The data has 506 items. Each item represents a town or village near Boston. The goal is to predict the median house price in a town. Each row has 14 values, where the first 13 in columns [0] to [12] are predictors, and the last value in column [14] is the target median house price in the town. The 13 predictor values are things like crime rate in town, tax rate in town, density of Black people in town, percent houses built before 1940 in town, and so on. The data is from a 1978 research paper so the median house prices are very low (often around $20,000).
I fetched the raw data from lib.stat.cmu.edu/datasets/boston and normalized it by dividing each of the 12 numeric predictor columns, and the house price column, by either 1, 10, 100, or 1000 so that all numeric values are between 0.0 and 1.0. One of the predictors is Boolean (town is adjacent to Charles River = 1, or not adjacent = 0). I randomly split the 506 data items into a 400-item training set and a 106-item test set.
The output of my from-scratch SVR system is:
Begin scratch Python SVR using SMO training Loading normed train (400) and test (106) data Done First three train X: [0.0003 0.0000 0.2357 0.0000 0.4690 . . . 0.2285] [0.0003 0.0000 0.2357 0.0000 0.4690 . . . 0.1008] [0.0003 0.0000 0.0727 0.0000 0.4580 . . . 0.0735] First three train y: 0.4320 0.6940 0.6680 Creating SVR-SMO model Setting gamma = 0.5000 Setting C = 1.00 Setting epsilon = 0.0100 Setting max_iter = 100 Setting tol = 0.000010 Creating and training SVR model using SMO Done Model dual coefs: [-1.0000 1.0000 1.0000 1.0000 . . . 0.3089 -0.2297 1.0000 -1.0000 -1.0000 . . . -1.0000 -1.0000 1.0000 -1.0000 -1.0000 . . . 1.0000 . . . -0.3150 0.8940 -1.0000 1.0000 . . . 0.1407 -0.0657] Model bias = 0.7074 Number support vectors = 400 Train accuracy (0.16) = 0.7925 Test accuracy (0.15) = 0.7642 Train MSE = 0.0056 Test MSE = 0.0039 Train R2 = 0.8380 Test R2 = 0.8677 Predicting for train_X[0] Predicted y = 0.4576 End demo
The results of my from-scratch SVR system were quite close to the results I got using the scikit-learn SVR module:
Number model support vectors: [341] == 341 Model bias: 0.6911 Train accuracy (0.15) = 0.7950 Test accuracy (0.15) = 0.7642 Train MSE = 0.0057 Test MSE = 0.0039 Train R2 = 0.8373 Test R2 = 0.8682
The main difference is that the scikit-learn SVR is a wrapper around a system called libsvm, which is highly optimized to reduce the number of support vectors. Anyway, the demo validated my from-scratch SVR system.
Support vector regression was briefly popular in the late 1990s and early 2000s, but faded from widespread use quickly when people discovered that the closely related kernel ridge regression (KRR) is better in just about every way than SVR (KRR is easier to implement, much easier to tune, and usually give better prediction accuracy).
One of the significant predictor variables in the Boston Area House Dataset is the density of Black people in a town. Briefly, more Blacks, lower house prices. Some things haven’t changed much since 1978. When I first started working on this SVR problem, it was graduation season. Once again, I was not disappointed with graduation-related news stories. See also “Carnival Cruise brawl”, “Airport Passenger Brawl”, “Wedding Reception Brawl”, “High School Basketball Game Brawl”, and so on.
Demo program. Replace “lt” (less than), “gt”, “lte”, “gte” with Boolean operator symbols (my lame blog editor chokes on symbols).
# boston_svr_smo.py
# kernel support vector regression from scratch.
# uses a hard-wired RBF kernel function.
import numpy as np
# -----------------------------------------------------------
np.set_printoptions(precision=4, suppress=True,
floatmode='fixed', linewidth=160)
# -----------------------------------------------------------
# external eval functions: accuracy(), mse(), r2_score()
# -----------------------------------------------------------
def accuracy(model, data_X, data_y, pct_close):
n = len(data_X)
n_correct = 0; n_wrong = 0
for i in range(n):
x = data_X[i].reshape(1,-1)
y = data_y[i]
pred_y = model.predict(x)[0]
if np.abs(y - pred_y) "lt" np.abs(y * pct_close):
n_correct += 1
else:
n_wrong += 1
return n_correct / (n_correct + n_wrong)
# -----------------------------------------------------------
def mse(model, data_X, data_y):
n = len(data_X)
sum = 0.0
for i in range(n):
x = data_X[i].reshape(1,-1)
y = data_y[i]
pred_y = model.predict(x)[0]
diff = pred_y - y
sum += diff * diff
return sum /n
# -----------------------------------------------------------
def r2_score(model, data_X, data_y):
# coefficient of determination == scikit score()
ss_res = 0.0
ss_tot = 0.0
n = len(data_X)
mean_y = np.mean(data_y)
for i in range(n):
x = data_X[i].reshape(1,-1)
y = data_y[i]
pred_y = model.predict(x)[0]
ss_res += (y - pred_y) * (y - pred_y)
ss_tot += (y - mean_y) * (y - mean_y)
result = 1.0 - (ss_res / ss_tot)
return result
# ===========================================================
class KernelSVR:
def __init__(self, gamma=0.1, epsilon=0.1, C=1.0,
max_iter=100, tol=1.0e-3, seed=1):
self.gamma = gamma
self.epsilon = epsilon
self.C = C
self.max_iter = max_iter
self.tol = tol # for KKT conditions
self.rnd = np.random.RandomState(seed)
self.alpha = None
self.alpha_star = None
self.b = 0.0
self.supp_X = None
self.supp_y = None
self.dual_weights = None
# ---------------------------------------------------------
def kernel_matrix(self, X1, X2):
sq_dist = np.sum(X1**2, axis=1).reshape(-1, 1) + \
np.sum(X2**2, axis=1) - 2 * np.dot(X1, X2.T)
return np.exp(-self.gamma * sq_dist)
# ---------------------------------------------------------
def fit(self, X, y):
n = X.shape[0]
self.alpha = np.zeros(n)
self.alpha_star = np.zeros(n)
self.b = np.mean(y)
K = self.kernel_matrix(X, X)
n_passes = 0
while n_passes "lt" self.max_iter:
num_changed_alphas = 0
for i in range(n):
# prediction and error for i
pred_i = np.dot(self.alpha_star - \
self.alpha, K[:, i]) + self.b
err_i = pred_i - y[i]
# check KKT conditions for SVR within tolerance
if ((err_i "gt" self.epsilon + self.tol and \
self.alpha[i] "lt" self.C) or \
(err_i "gt" self.epsilon + self.tol and \
self.alpha_star[i] "gt" 0) or
(err_i "lt" -self.epsilon - self.tol and \
self.alpha[i] "gt" 0) or \
(err_i "lt" -self.epsilon - self.tol and \
self.alpha_star[i] "lt" self.C)):
# pick a random second index j != i
j = i
while j == i:
j = self.rnd.randint(0, n)
pred_j = np.dot(self.alpha_star - \
self.alpha, K[:, j]) + self.b
err_j = pred_j - y[j]
# save old values
a_i_old, as_i_old = self.alpha[i], \
self.alpha_star[i]
a_j_old, as_j_old = self.alpha[j], \
self.alpha_star[j]
# kernel second derivative step denominator
eta = K[i, i] + K[j, j] - 2 * K[i, j]
if eta "lte" 0:
continue
# SVR linear constraint constant
constraint = (as_i_old - a_i_old) + (as_j_old - a_j_old)
# joint proxy variable s_j = (alpha_j* - alpha_j)
s_j_old = as_j_old - a_j_old
s_j_new = s_j_old + (err_i - err_j) / eta
# bounds L and H for the proxy s_j
L = max(-self.C, constraint - self.C)
H = min(self.C, constraint + self.C)
s_j_new = np.clip(s_j_new, L, H)
if abs(s_j_new - s_j_old) "lt" 1.0e-5:
continue
# reconstruct alpha_j and alpha_j*
if s_j_new "gte" 0.0:
self.alpha_star[j] = s_j_new
self.alpha[j] = 0.0
else:
self.alpha_star[j] = 0.0
self.alpha[j] = -s_j_new
# update alpha_i and alpha_i*
s_i_new = constraint - s_j_new
if s_i_new "gte" 0.0:
self.alpha_star[i] = s_i_new
self.alpha[i] = 0.0
else:
self.alpha_star[i] = 0.0
self.alpha[i] = -s_i_new
# update bias
b1 = self.b - err_i - ((self.alpha_star[i] - \
self.alpha[i]) - (as_i_old - a_i_old)) * \
K[i, i] - ((self.alpha_star[j] - \
self.alpha[j]) - (as_j_old - a_j_old)) * \
K[i, j]
b2 = self.b - err_j - ((self.alpha_star[i] - \
self.alpha[i]) - (as_i_old - a_i_old)) * \
K[i, j] - ((self.alpha_star[j] - \
self.alpha[j]) - (as_j_old - a_j_old)) * \
K[j, j]
if 0.0 "lt" self.alpha[i] "lt" self.C or \
0.0 "lt" self.alpha_star[i] "lt" self.C:
self.b = b1
elif 0 "lt" self.alpha[j] "lt" self.C or \
0.0 "lt" self.alpha_star[j] "lt" self.C:
self.b = b2
else:
self.b = (b1 + b2) / 2.0
num_changed_alphas += 1
if num_changed_alphas == 0:
n_passes += 1
else:
n_passes = 0
# prune: store only explicit support vectors
sv_mask = (self.alpha "gt" 1.0e-5) | \
(self.alpha_star "gt" 1.0e-5)
self.supp_X = X[sv_mask]
self.supp_y = y[sv_mask]
# dual weights combine alpha* and alpha
self.dual_weights = \
(self.alpha_star - self.alpha)[sv_mask]
return self
# ---------------------------------------------------------
def predict(self, X):
K = self.kernel_matrix(X, self.supp_X)
return np.dot(K, self.dual_weights) + self.b
# ---------------------------------------------------------
def get_supp_idxs(self):
result = []
for i in range(len(self.alpha)):
# a non-zero wt is associated with a supp vector
if np.abs(self.alpha[i]) "gt" 1.0e-5 or \
np.abs(self.alpha_star[i]) "gt" 1.0e-5:
result.append(i)
return result
# ===========================================================
def main():
print("\nBegin scratch Python SVR using SMO training ")
print("\nLoading normed train (400) and test (106) data")
train_Xy = np.loadtxt(".\\Data\\boston_train_400.txt",
usecols=[0,1,2,3,4,5,6,7,8,9,10,11,12,13], delimiter=",")
train_X = train_Xy[:,[0,1,2,3,4,5,6,7,8,9,10,11,12]]
train_y = train_Xy[:,13]
test_Xy = np.loadtxt(".\\Data\\boston_test_106.txt",
usecols=[0,1,2,3,4,5,6,7,8,9,10,11,12,13], delimiter=",")
test_X = test_Xy[:,[0,1,2,3,4,5,6,7,8,9,10,11,12]]
test_y = test_Xy[:,13]
print("Done ")
print("\nFirst three train X: ")
for i in range(3):
print(train_X[i])
print("\nFirst three train y: ")
for i in range(3):
print("%0.4f " % train_y[i])
# ** SCIKIT results **
# Setting gamma = 0.5000
# Setting C = 1.000000
# Setting epsilon = 0.0100
# Number model support vectors: [341] == 341
# Model bias: 0.6911
# Train accuracy (0.15) = 0.7950
# Test accuracy (0.15) = 0.7642
# Train MSE = 0.0057
# Test MSE = 0.0039
# Train R2 = 0.8373
# Test R2 = 0.8682
# create and train model
print("\nCreating SVR-SMO model ")
gamma = 0.50
epsilon = 0.01
C = 1.0
max_iter = 100
tol = 1.0e-5
print("Setting gamma = %0.4f " % gamma)
print("Setting C = %0.2f " % C)
print("Setting epsilon = %0.6f " % epsilon)
print("Setting max_iter = " + str(max_iter))
print("Setting tol = %0.6f " % tol)
print("\nCreating and training SVR model using SMO ")
model = KernelSVR(gamma=gamma, epsilon=epsilon, C=C,
max_iter=max_iter, tol=tol)
model.fit(train_X, train_y)
print("Done ")
# print("\nModel alpha: ")
# print(model.alpha)
# print("\nModel alpha*: ")
# print(model.alpha_star)
print("\nModel dual coefs: ")
print(model.dual_weights)
print("\nModel bias = %0.4f " % model.b)
supp_vec_idxs = model.get_supp_idxs()
print("\nNumber support vectors = " + \
str(len(supp_vec_idxs)))
# or len(model.dual_weights)
# or len(model.supp_X)
acc_train = accuracy(model, train_X, train_y, 0.15)
print("\nTrain accuracy (0.16) = %0.4f" % acc_train)
acc_test = accuracy(model, test_X, test_y, 0.15)
print("Test accuracy (0.15) = %0.4f" % acc_test)
mse_train = mse(model, train_X, train_y)
print("\nTrain MSE = %0.4f" % mse_train)
mse_test = mse(model, test_X, test_y)
print("Test MSE = %0.4f" % mse_test)
r2_train = r2_score(model, train_X, train_y)
print("\nTrain R2 = %0.4f" % r2_train)
r2_test = r2_score(model, test_X, test_y)
print("Test R2 = %0.4f" % r2_test)
print("\nPredicting for train_X[0] ")
x = train_X[0].reshape(1,-1)
pred_y = model.predict(x)[0]
print("Predicted y = %0.4f " % pred_y)
print("\nEnd demo ")
# -----------------------------------------------------------
if __name__ == "__main__":
main()
Training data:
# boston_train_400.txt
# norm constants: 100, 100, 30, 1, 1, 10, 100, 20, 30, 800, 30, 400, 40, 50
#
# crime zoning indus river nox rooms oldness dist access tax pup_tch black low_stat med_val
0.00027310, 0.00000000, 0.23566667, 0.00000000, 0.46900000, 0.64210000, 0.78900000, 0.24835500, 0.06666667, 0.30250000, 0.59333333, 0.99225000, 0.22850000, 0.43200000
0.00027290, 0.00000000, 0.23566667, 0.00000000, 0.46900000, 0.71850000, 0.61100000, 0.24835500, 0.06666667, 0.30250000, 0.59333333, 0.98207500, 0.10075000, 0.69400000
0.00032370, 0.00000000, 0.07266667, 0.00000000, 0.45800000, 0.69980000, 0.45800000, 0.30311000, 0.10000000, 0.27750000, 0.62333333, 0.98657500, 0.07350000, 0.66800000
0.00069050, 0.00000000, 0.07266667, 0.00000000, 0.45800000, 0.71470000, 0.54200000, 0.30311000, 0.10000000, 0.27750000, 0.62333333, 0.99225000, 0.13325000, 0.72400000
0.00088290, 0.12500000, 0.26233333, 0.00000000, 0.52400000, 0.60120000, 0.66600000, 0.27802500, 0.16666667, 0.38875000, 0.50666667, 0.98900000, 0.31075000, 0.45800000
0.00144550, 0.12500000, 0.26233333, 0.00000000, 0.52400000, 0.61720000, 0.96100000, 0.29752500, 0.16666667, 0.38875000, 0.50666667, 0.99225000, 0.47875000, 0.54200000
0.00211240, 0.12500000, 0.26233333, 0.00000000, 0.52400000, 0.56310000, 1.00000000, 0.30410500, 0.16666667, 0.38875000, 0.50666667, 0.96657500, 0.74825000, 0.33000000
0.00170040, 0.12500000, 0.26233333, 0.00000000, 0.52400000, 0.60040000, 0.85900000, 0.32960500, 0.16666667, 0.38875000, 0.50666667, 0.96677500, 0.42750000, 0.37800000
0.00117470, 0.12500000, 0.26233333, 0.00000000, 0.52400000, 0.60090000, 0.82900000, 0.31133500, 0.16666667, 0.38875000, 0.50666667, 0.99225000, 0.33175000, 0.37800000
0.00093780, 0.12500000, 0.26233333, 0.00000000, 0.52400000, 0.58890000, 0.39000000, 0.27254500, 0.16666667, 0.38875000, 0.50666667, 0.97625000, 0.39275000, 0.43400000
0.00629760, 0.00000000, 0.27133333, 0.00000000, 0.53800000, 0.59490000, 0.61800000, 0.23537500, 0.13333333, 0.38375000, 0.70000000, 0.99225000, 0.20650000, 0.40800000
0.00637960, 0.00000000, 0.27133333, 0.00000000, 0.53800000, 0.60960000, 0.84500000, 0.22309500, 0.13333333, 0.38375000, 0.70000000, 0.95005000, 0.25650000, 0.36400000
0.01053930, 0.00000000, 0.27133333, 0.00000000, 0.53800000, 0.59350000, 0.29300000, 0.22493000, 0.13333333, 0.38375000, 0.70000000, 0.96712500, 0.16450000, 0.46200000
0.00784200, 0.00000000, 0.27133333, 0.00000000, 0.53800000, 0.59900000, 0.81700000, 0.21289500, 0.13333333, 0.38375000, 0.70000000, 0.96687500, 0.36675000, 0.35000000
0.00802710, 0.00000000, 0.27133333, 0.00000000, 0.53800000, 0.54560000, 0.36600000, 0.18982500, 0.13333333, 0.38375000, 0.70000000, 0.72247500, 0.29225000, 0.40400000
0.00725800, 0.00000000, 0.27133333, 0.00000000, 0.53800000, 0.57270000, 0.69500000, 0.18982500, 0.13333333, 0.38375000, 0.70000000, 0.97737500, 0.28200000, 0.36400000
0.00852040, 0.00000000, 0.27133333, 0.00000000, 0.53800000, 0.59650000, 0.89200000, 0.20061500, 0.13333333, 0.38375000, 0.70000000, 0.98132500, 0.34575000, 0.39200000
0.01232470, 0.00000000, 0.27133333, 0.00000000, 0.53800000, 0.61420000, 0.91700000, 0.19884500, 0.13333333, 0.38375000, 0.70000000, 0.99225000, 0.46800000, 0.30400000
0.00988430, 0.00000000, 0.27133333, 0.00000000, 0.53800000, 0.58130000, 1.00000000, 0.20476000, 0.13333333, 0.38375000, 0.70000000, 0.98635000, 0.49700000, 0.29000000
0.00750260, 0.00000000, 0.27133333, 0.00000000, 0.53800000, 0.59240000, 0.94100000, 0.21998000, 0.13333333, 0.38375000, 0.70000000, 0.98582500, 0.40750000, 0.31200000
0.00671910, 0.00000000, 0.27133333, 0.00000000, 0.53800000, 0.58130000, 0.90300000, 0.23410000, 0.13333333, 0.38375000, 0.70000000, 0.94220000, 0.37025000, 0.33200000
0.00955770, 0.00000000, 0.27133333, 0.00000000, 0.53800000, 0.60470000, 0.88800000, 0.22267000, 0.13333333, 0.38375000, 0.70000000, 0.76595000, 0.43200000, 0.29600000
0.00772990, 0.00000000, 0.27133333, 0.00000000, 0.53800000, 0.64950000, 0.94400000, 0.22273500, 0.13333333, 0.38375000, 0.70000000, 0.96985000, 0.32000000, 0.36800000
0.01002450, 0.00000000, 0.27133333, 0.00000000, 0.53800000, 0.66740000, 0.87300000, 0.21195000, 0.13333333, 0.38375000, 0.70000000, 0.95057500, 0.29950000, 0.42000000
0.01354720, 0.00000000, 0.27133333, 0.00000000, 0.53800000, 0.60720000, 1.00000000, 0.20875000, 0.13333333, 0.38375000, 0.70000000, 0.94182500, 0.32600000, 0.29000000
0.01387990, 0.00000000, 0.27133333, 0.00000000, 0.53800000, 0.59500000, 0.82000000, 0.19950000, 0.13333333, 0.38375000, 0.70000000, 0.58150000, 0.69275000, 0.26400000
0.01151720, 0.00000000, 0.27133333, 0.00000000, 0.53800000, 0.57010000, 0.95000000, 0.18936000, 0.13333333, 0.38375000, 0.70000000, 0.89692500, 0.45875000, 0.26200000
0.01612820, 0.00000000, 0.27133333, 0.00000000, 0.53800000, 0.60960000, 0.96900000, 0.18799000, 0.13333333, 0.38375000, 0.70000000, 0.62077500, 0.50850000, 0.27000000
0.00097440, 0.00000000, 0.19866667, 0.00000000, 0.49900000, 0.58410000, 0.61400000, 0.16889500, 0.16666667, 0.34875000, 0.64000000, 0.94390000, 0.28525000, 0.40000000
0.00080140, 0.00000000, 0.19866667, 0.00000000, 0.49900000, 0.58500000, 0.41500000, 0.19671000, 0.16666667, 0.34875000, 0.64000000, 0.99225000, 0.21925000, 0.42000000
0.00175050, 0.00000000, 0.19866667, 0.00000000, 0.49900000, 0.59660000, 0.30200000, 0.19236500, 0.16666667, 0.34875000, 0.64000000, 0.98357500, 0.25325000, 0.49400000
0.00027630, 0.75000000, 0.09833333, 0.00000000, 0.42800000, 0.65950000, 0.21800000, 0.27005500, 0.10000000, 0.31500000, 0.61000000, 0.98907500, 0.10800000, 0.61600000
0.00127440, 0.00000000, 0.23033333, 0.00000000, 0.44800000, 0.67700000, 0.02900000, 0.28604500, 0.10000000, 0.29125000, 0.59666667, 0.96352500, 0.12100000, 0.53200000
0.00141500, 0.00000000, 0.23033333, 0.00000000, 0.44800000, 0.61690000, 0.06600000, 0.28604500, 0.10000000, 0.29125000, 0.59666667, 0.95842500, 0.14525000, 0.50600000
0.00159360, 0.00000000, 0.23033333, 0.00000000, 0.44800000, 0.62110000, 0.06500000, 0.28604500, 0.10000000, 0.29125000, 0.59666667, 0.98615000, 0.18600000, 0.49400000
0.00122690, 0.00000000, 0.23033333, 0.00000000, 0.44800000, 0.60690000, 0.40000000, 0.28604500, 0.10000000, 0.29125000, 0.59666667, 0.97347500, 0.23875000, 0.42400000
0.00188360, 0.00000000, 0.23033333, 0.00000000, 0.44800000, 0.57860000, 0.33300000, 0.25502000, 0.10000000, 0.29125000, 0.59666667, 0.99225000, 0.35375000, 0.40000000
0.00229270, 0.00000000, 0.23033333, 0.00000000, 0.44800000, 0.60300000, 0.85500000, 0.28447000, 0.10000000, 0.29125000, 0.59666667, 0.98185000, 0.47000000, 0.33200000
0.00253870, 0.00000000, 0.23033333, 0.00000000, 0.44800000, 0.53990000, 0.95300000, 0.29350000, 0.10000000, 0.29125000, 0.59666667, 0.99225000, 0.77025000, 0.28800000
0.00219770, 0.00000000, 0.23033333, 0.00000000, 0.44800000, 0.56020000, 0.62000000, 0.30438500, 0.10000000, 0.29125000, 0.59666667, 0.99225000, 0.40500000, 0.38800000
0.00043370, 0.21000000, 0.18800000, 0.00000000, 0.43900000, 0.61150000, 0.63000000, 0.34073500, 0.13333333, 0.30375000, 0.56000000, 0.98492500, 0.23575000, 0.41000000
0.00053600, 0.21000000, 0.18800000, 0.00000000, 0.43900000, 0.65110000, 0.21100000, 0.34073500, 0.13333333, 0.30375000, 0.56000000, 0.99225000, 0.13200000, 0.50000000
0.00049810, 0.21000000, 0.18800000, 0.00000000, 0.43900000, 0.59980000, 0.21400000, 0.34073500, 0.13333333, 0.30375000, 0.56000000, 0.99225000, 0.21075000, 0.46800000
0.00013600, 0.75000000, 0.13333333, 0.00000000, 0.41000000, 0.58880000, 0.47600000, 0.36598500, 0.10000000, 0.58625000, 0.70333333, 0.99225000, 0.37000000, 0.37800000
0.00020550, 0.85000000, 0.02466667, 0.00000000, 0.41000000, 0.63830000, 0.35700000, 0.45938000, 0.06666667, 0.39125000, 0.57666667, 0.99225000, 0.14425000, 0.49400000
0.00014320, 1.00000000, 0.04400000, 0.00000000, 0.41100000, 0.68160000, 0.40500000, 0.41624000, 0.16666667, 0.32000000, 0.50333333, 0.98225000, 0.09875000, 0.63200000
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0.00171710, 0.25000000, 0.17100000, 0.00000000, 0.45300000, 0.59660000, 0.93400000, 0.34092500, 0.26666667, 0.35500000, 0.65666667, 0.94520000, 0.36100000, 0.32000000
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0.00126500, 0.25000000, 0.17100000, 0.00000000, 0.45300000, 0.67620000, 0.43400000, 0.39904500, 0.26666667, 0.35500000, 0.65666667, 0.98895000, 0.23750000, 0.50000000
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0.00128160, 0.12500000, 0.20233333, 0.00000000, 0.40900000, 0.58850000, 0.33000000, 0.32490000, 0.13333333, 0.43125000, 0.63000000, 0.99225000, 0.21975000, 0.41800000
0.00158760, 0.00000000, 0.36033333, 0.00000000, 0.41300000, 0.59610000, 0.17500000, 0.26436500, 0.13333333, 0.38125000, 0.64000000, 0.94235000, 0.24700000, 0.43400000
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0.00087070, 0.00000000, 0.42766667, 0.00000000, 0.43700000, 0.61400000, 0.45800000, 0.20452500, 0.16666667, 0.49750000, 0.62333333, 0.96740000, 0.25675000, 0.41600000
0.00056460, 0.00000000, 0.42766667, 0.00000000, 0.43700000, 0.62320000, 0.53700000, 0.25070500, 0.16666667, 0.49750000, 0.62333333, 0.96600000, 0.30850000, 0.42400000
0.00083870, 0.00000000, 0.42766667, 0.00000000, 0.43700000, 0.58740000, 0.36600000, 0.22513000, 0.16666667, 0.49750000, 0.62333333, 0.99015000, 0.22750000, 0.40600000
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0.00036590, 0.25000000, 0.16200000, 0.00000000, 0.42600000, 0.63020000, 0.32200000, 0.27003500, 0.13333333, 0.35125000, 0.63333333, 0.99225000, 0.16800000, 0.49600000
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0.00051880, 0.00000000, 0.14966667, 0.00000000, 0.44900000, 0.60150000, 0.45100000, 0.22136000, 0.10000000, 0.30875000, 0.61666667, 0.98997500, 0.32150000, 0.45000000
0.00071510, 0.00000000, 0.14966667, 0.00000000, 0.44900000, 0.61210000, 0.56800000, 0.18738000, 0.10000000, 0.30875000, 0.61666667, 0.98787500, 0.21100000, 0.44400000
0.00056600, 0.00000000, 0.11366667, 0.00000000, 0.48900000, 0.70070000, 0.86300000, 0.17108500, 0.06666667, 0.33750000, 0.59333333, 0.99225000, 0.13750000, 0.47200000
0.00053020, 0.00000000, 0.11366667, 0.00000000, 0.48900000, 0.70790000, 0.63100000, 0.17072500, 0.06666667, 0.33750000, 0.59333333, 0.99015000, 0.14250000, 0.57400000
0.00039320, 0.00000000, 0.11366667, 0.00000000, 0.48900000, 0.64050000, 0.73900000, 0.15460500, 0.06666667, 0.33750000, 0.59333333, 0.98387500, 0.20500000, 0.44000000
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0.00028750, 0.28000000, 0.50133333, 0.00000000, 0.46400000, 0.62110000, 0.28900000, 0.18329500, 0.13333333, 0.33750000, 0.60666667, 0.99082500, 0.15525000, 0.50000000
0.00042940, 0.28000000, 0.50133333, 0.00000000, 0.46400000, 0.62490000, 0.77300000, 0.18075000, 0.13333333, 0.33750000, 0.60666667, 0.99225000, 0.26475000, 0.41200000
0.00115040, 0.00000000, 0.09633333, 0.00000000, 0.44500000, 0.61630000, 0.69600000, 0.17476000, 0.06666667, 0.34500000, 0.60000000, 0.97957500, 0.28350000, 0.42800000
0.00120830, 0.00000000, 0.09633333, 0.00000000, 0.44500000, 0.80690000, 0.76000000, 0.17476000, 0.06666667, 0.34500000, 0.60000000, 0.99225000, 0.10525000, 0.77400000
0.00081870, 0.00000000, 0.09633333, 0.00000000, 0.44500000, 0.78200000, 0.36900000, 0.17476000, 0.06666667, 0.34500000, 0.60000000, 0.98382500, 0.08925000, 0.87600000
0.00068600, 0.00000000, 0.09633333, 0.00000000, 0.44500000, 0.74160000, 0.62500000, 0.17476000, 0.06666667, 0.34500000, 0.60000000, 0.99225000, 0.15475000, 0.66400000
0.00114320, 0.00000000, 0.28533333, 0.00000000, 0.52000000, 0.67810000, 0.71300000, 0.14280500, 0.16666667, 0.48000000, 0.69666667, 0.98895000, 0.19175000, 0.53000000
0.00228760, 0.00000000, 0.28533333, 0.00000000, 0.52000000, 0.64050000, 0.85400000, 0.13573500, 0.16666667, 0.48000000, 0.69666667, 0.17700000, 0.26575000, 0.37200000
0.00211610, 0.00000000, 0.28533333, 0.00000000, 0.52000000, 0.61370000, 0.87400000, 0.13573500, 0.16666667, 0.48000000, 0.69666667, 0.98617500, 0.33600000, 0.38600000
0.00139600, 0.00000000, 0.28533333, 0.00000000, 0.52000000, 0.61670000, 0.90000000, 0.12105000, 0.16666667, 0.48000000, 0.69666667, 0.98172500, 0.30825000, 0.40200000
0.00171200, 0.00000000, 0.28533333, 0.00000000, 0.52000000, 0.58360000, 0.91900000, 0.11055000, 0.16666667, 0.48000000, 0.69666667, 0.98917500, 0.46650000, 0.39000000
0.00131170, 0.00000000, 0.28533333, 0.00000000, 0.52000000, 0.61270000, 0.85200000, 0.10612000, 0.16666667, 0.48000000, 0.69666667, 0.96922500, 0.35225000, 0.40800000
0.00128020, 0.00000000, 0.28533333, 0.00000000, 0.52000000, 0.64740000, 0.97100000, 0.12164500, 0.16666667, 0.48000000, 0.69666667, 0.98810000, 0.30675000, 0.39600000
0.00263630, 0.00000000, 0.28533333, 0.00000000, 0.52000000, 0.62290000, 0.91200000, 0.12725500, 0.16666667, 0.48000000, 0.69666667, 0.97807500, 0.38875000, 0.38800000
0.00100840, 0.00000000, 0.33366667, 0.00000000, 0.54700000, 0.67150000, 0.81600000, 0.13387500, 0.20000000, 0.54000000, 0.59333333, 0.98897500, 0.25400000, 0.45600000
0.00123290, 0.00000000, 0.33366667, 0.00000000, 0.54700000, 0.59130000, 0.92900000, 0.11767000, 0.20000000, 0.54000000, 0.59333333, 0.98737500, 0.40525000, 0.37600000
0.00222120, 0.00000000, 0.33366667, 0.00000000, 0.54700000, 0.60920000, 0.95400000, 0.12740000, 0.20000000, 0.54000000, 0.59333333, 0.99225000, 0.42725000, 0.37400000
0.00142310, 0.00000000, 0.33366667, 0.00000000, 0.54700000, 0.62540000, 0.84200000, 0.11282500, 0.20000000, 0.54000000, 0.59333333, 0.97185000, 0.26125000, 0.37000000
0.00131580, 0.00000000, 0.33366667, 0.00000000, 0.54700000, 0.61760000, 0.72500000, 0.13650500, 0.20000000, 0.54000000, 0.59333333, 0.98325000, 0.30100000, 0.42400000
0.00150980, 0.00000000, 0.33366667, 0.00000000, 0.54700000, 0.60210000, 0.82600000, 0.13737000, 0.20000000, 0.54000000, 0.59333333, 0.98627500, 0.25750000, 0.38400000
0.00130580, 0.00000000, 0.33366667, 0.00000000, 0.54700000, 0.58720000, 0.73100000, 0.12387500, 0.20000000, 0.54000000, 0.59333333, 0.84657500, 0.38425000, 0.40800000
0.00144760, 0.00000000, 0.33366667, 0.00000000, 0.54700000, 0.57310000, 0.65200000, 0.13796000, 0.20000000, 0.54000000, 0.59333333, 0.97875000, 0.34025000, 0.38600000
0.00071650, 0.00000000, 0.85500000, 0.00000000, 0.58100000, 0.60040000, 0.84100000, 0.10987000, 0.06666667, 0.23500000, 0.63666667, 0.94417500, 0.35675000, 0.40600000
0.00092990, 0.00000000, 0.85500000, 0.00000000, 0.58100000, 0.59610000, 0.92900000, 0.10434500, 0.06666667, 0.23500000, 0.63666667, 0.94522500, 0.44825000, 0.41000000
0.00150380, 0.00000000, 0.85500000, 0.00000000, 0.58100000, 0.58560000, 0.97000000, 0.09722000, 0.06666667, 0.23500000, 0.63666667, 0.92577500, 0.63525000, 0.34600000
0.00098490, 0.00000000, 0.85500000, 0.00000000, 0.58100000, 0.58790000, 0.95800000, 0.10031500, 0.06666667, 0.23500000, 0.63666667, 0.94845000, 0.43950000, 0.37600000
0.00387350, 0.00000000, 0.85500000, 0.00000000, 0.58100000, 0.56130000, 0.95600000, 0.08786000, 0.06666667, 0.23500000, 0.63666667, 0.89822500, 0.68150000, 0.31400000
0.00259150, 0.00000000, 0.72966667, 0.00000000, 0.62400000, 0.56930000, 0.96000000, 0.08941500, 0.13333333, 0.54625000, 0.70666667, 0.98027500, 0.42975000, 0.32400000
0.00325430, 0.00000000, 0.72966667, 0.00000000, 0.62400000, 0.64310000, 0.98800000, 0.09062500, 0.13333333, 0.54625000, 0.70666667, 0.99225000, 0.38475000, 0.36000000
0.00881250, 0.00000000, 0.72966667, 0.00000000, 0.62400000, 0.56370000, 0.94700000, 0.09899500, 0.13333333, 0.54625000, 0.70666667, 0.99225000, 0.45850000, 0.28600000
0.01192940, 0.00000000, 0.72966667, 0.00000000, 0.62400000, 0.63260000, 0.97700000, 0.11355000, 0.13333333, 0.54625000, 0.70666667, 0.99225000, 0.30650000, 0.39200000
0.00590050, 0.00000000, 0.72966667, 0.00000000, 0.62400000, 0.63720000, 0.97900000, 0.11637000, 0.13333333, 0.54625000, 0.70666667, 0.96440000, 0.27800000, 0.46000000
0.00329820, 0.00000000, 0.72966667, 0.00000000, 0.62400000, 0.58220000, 0.95400000, 0.12349500, 0.13333333, 0.54625000, 0.70666667, 0.97172500, 0.37575000, 0.36800000
0.00976170, 0.00000000, 0.72966667, 0.00000000, 0.62400000, 0.57570000, 0.98400000, 0.11730000, 0.13333333, 0.54625000, 0.70666667, 0.65690000, 0.43275000, 0.31200000
0.00322640, 0.00000000, 0.72966667, 0.00000000, 0.62400000, 0.59420000, 0.93500000, 0.09834500, 0.13333333, 0.54625000, 0.70666667, 0.94562500, 0.42250000, 0.34800000
0.00352330, 0.00000000, 0.72966667, 0.00000000, 0.62400000, 0.64540000, 0.98400000, 0.09249000, 0.13333333, 0.54625000, 0.70666667, 0.98520000, 0.36475000, 0.34200000
0.00249800, 0.00000000, 0.72966667, 0.00000000, 0.62400000, 0.58570000, 0.98200000, 0.08343000, 0.13333333, 0.54625000, 0.70666667, 0.98010000, 0.53300000, 0.26600000
0.00544520, 0.00000000, 0.72966667, 0.00000000, 0.62400000, 0.61510000, 0.97900000, 0.08343500, 0.13333333, 0.54625000, 0.70666667, 0.99225000, 0.46150000, 0.35600000
0.01628640, 0.00000000, 0.72966667, 0.00000000, 0.62400000, 0.50190000, 1.00000000, 0.07197000, 0.13333333, 0.54625000, 0.70666667, 0.99225000, 0.86025000, 0.28800000
0.03321050, 0.00000000, 0.65266667, 1.00000000, 0.87100000, 0.54030000, 1.00000000, 0.06608000, 0.16666667, 0.50375000, 0.49000000, 0.99225000, 0.67050000, 0.26800000
0.04097400, 0.00000000, 0.65266667, 0.00000000, 0.87100000, 0.54680000, 1.00000000, 0.07059000, 0.16666667, 0.50375000, 0.49000000, 0.99225000, 0.66050000, 0.31200000
0.02779740, 0.00000000, 0.65266667, 0.00000000, 0.87100000, 0.49030000, 0.97800000, 0.06729500, 0.16666667, 0.50375000, 0.49000000, 0.99225000, 0.73225000, 0.23600000
0.02155050, 0.00000000, 0.65266667, 0.00000000, 0.87100000, 0.56280000, 1.00000000, 0.07583000, 0.16666667, 0.50375000, 0.49000000, 0.42317500, 0.41625000, 0.31200000
0.02368620, 0.00000000, 0.65266667, 0.00000000, 0.87100000, 0.49260000, 0.95700000, 0.07304000, 0.16666667, 0.50375000, 0.49000000, 0.97927500, 0.73825000, 0.29200000
0.02330990, 0.00000000, 0.65266667, 0.00000000, 0.87100000, 0.51860000, 0.93800000, 0.07648000, 0.16666667, 0.50375000, 0.49000000, 0.89247500, 0.70800000, 0.35600000
0.02733970, 0.00000000, 0.65266667, 0.00000000, 0.87100000, 0.55970000, 0.94900000, 0.07628500, 0.16666667, 0.50375000, 0.49000000, 0.87962500, 0.53625000, 0.30800000
0.01496320, 0.00000000, 0.65266667, 0.00000000, 0.87100000, 0.54040000, 1.00000000, 0.07958000, 0.16666667, 0.50375000, 0.49000000, 0.85400000, 0.33200000, 0.39200000
0.01126580, 0.00000000, 0.65266667, 1.00000000, 0.87100000, 0.50120000, 0.88000000, 0.08051000, 0.16666667, 0.50375000, 0.49000000, 0.85820000, 0.30300000, 0.30600000
0.02149180, 0.00000000, 0.65266667, 0.00000000, 0.87100000, 0.57090000, 0.98500000, 0.08116000, 0.16666667, 0.50375000, 0.49000000, 0.65487500, 0.39475000, 0.38800000
0.01413850, 0.00000000, 0.65266667, 1.00000000, 0.87100000, 0.61290000, 0.96000000, 0.08747000, 0.16666667, 0.50375000, 0.49000000, 0.80255000, 0.37800000, 0.34000000
0.02446680, 0.00000000, 0.65266667, 0.00000000, 0.87100000, 0.52720000, 0.94000000, 0.08682000, 0.16666667, 0.50375000, 0.49000000, 0.22157500, 0.40350000, 0.26200000
0.01223580, 0.00000000, 0.65266667, 0.00000000, 0.60500000, 0.69430000, 0.97400000, 0.09386500, 0.16666667, 0.50375000, 0.49000000, 0.90857500, 0.11475000, 0.82600000
0.01342840, 0.00000000, 0.65266667, 0.00000000, 0.60500000, 0.60660000, 1.00000000, 0.08786500, 0.16666667, 0.50375000, 0.49000000, 0.88472500, 0.16075000, 0.48600000
0.01425020, 0.00000000, 0.65266667, 0.00000000, 0.87100000, 0.65100000, 1.00000000, 0.08829500, 0.16666667, 0.50375000, 0.49000000, 0.91077500, 0.18475000, 0.46600000
0.01463360, 0.00000000, 0.65266667, 0.00000000, 0.60500000, 0.74890000, 0.90800000, 0.09854500, 0.16666667, 0.50375000, 0.49000000, 0.93607500, 0.04325000, 1.00000000
0.01833770, 0.00000000, 0.65266667, 1.00000000, 0.60500000, 0.78020000, 0.98200000, 0.10203500, 0.16666667, 0.50375000, 0.49000000, 0.97402500, 0.04800000, 1.00000000
0.01519020, 0.00000000, 0.65266667, 1.00000000, 0.60500000, 0.83750000, 0.93900000, 0.10810000, 0.16666667, 0.50375000, 0.49000000, 0.97112500, 0.08300000, 1.00000000
0.02242360, 0.00000000, 0.65266667, 0.00000000, 0.60500000, 0.58540000, 0.91800000, 0.12110000, 0.16666667, 0.50375000, 0.49000000, 0.98777500, 0.29100000, 0.45400000
0.02010190, 0.00000000, 0.65266667, 0.00000000, 0.60500000, 0.79290000, 0.96200000, 0.10229500, 0.16666667, 0.50375000, 0.49000000, 0.92325000, 0.09250000, 1.00000000
0.01800280, 0.00000000, 0.65266667, 0.00000000, 0.60500000, 0.58770000, 0.79200000, 0.12129500, 0.16666667, 0.50375000, 0.49000000, 0.56902500, 0.30350000, 0.47600000
0.02300400, 0.00000000, 0.65266667, 0.00000000, 0.60500000, 0.63190000, 0.96100000, 0.10500000, 0.16666667, 0.50375000, 0.49000000, 0.74272500, 0.27750000, 0.47600000
0.02449530, 0.00000000, 0.65266667, 0.00000000, 0.60500000, 0.64020000, 0.95200000, 0.11312500, 0.16666667, 0.50375000, 0.49000000, 0.82510000, 0.28300000, 0.44600000
0.02313900, 0.00000000, 0.65266667, 0.00000000, 0.60500000, 0.58800000, 0.97300000, 0.11943500, 0.16666667, 0.50375000, 0.49000000, 0.87032500, 0.30075000, 0.38200000
0.00139140, 0.00000000, 0.13500000, 0.00000000, 0.51000000, 0.55720000, 0.88500000, 0.12980500, 0.16666667, 0.37000000, 0.55333333, 0.99225000, 0.36725000, 0.46200000
0.00091780, 0.00000000, 0.13500000, 0.00000000, 0.51000000, 0.64160000, 0.84100000, 0.13231500, 0.16666667, 0.37000000, 0.55333333, 0.98875000, 0.22600000, 0.47200000
0.00084470, 0.00000000, 0.13500000, 0.00000000, 0.51000000, 0.58590000, 0.68700000, 0.13509500, 0.16666667, 0.37000000, 0.55333333, 0.98307500, 0.24100000, 0.45200000
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0.00057800, 0.00000000, 0.08200000, 0.00000000, 0.48800000, 0.69800000, 0.58400000, 0.14145000, 0.10000000, 0.24125000, 0.59333333, 0.99225000, 0.12600000, 0.74400000
0.00068880, 0.00000000, 0.08200000, 0.00000000, 0.48800000, 0.61440000, 0.62200000, 0.12989500, 0.10000000, 0.24125000, 0.59333333, 0.99225000, 0.23625000, 0.72400000
0.00091030, 0.00000000, 0.08200000, 0.00000000, 0.48800000, 0.71550000, 0.92200000, 0.13503000, 0.10000000, 0.24125000, 0.59333333, 0.98530000, 0.12050000, 0.75800000
0.00100080, 0.00000000, 0.08200000, 0.00000000, 0.48800000, 0.65630000, 0.95600000, 0.14235000, 0.10000000, 0.24125000, 0.59333333, 0.99225000, 0.14200000, 0.65000000
0.00083080, 0.00000000, 0.08200000, 0.00000000, 0.48800000, 0.56040000, 0.89800000, 0.14939500, 0.10000000, 0.24125000, 0.59333333, 0.97750000, 0.34950000, 0.52800000
0.00056020, 0.00000000, 0.08200000, 0.00000000, 0.48800000, 0.78310000, 0.53600000, 0.15996000, 0.10000000, 0.24125000, 0.59333333, 0.98157500, 0.11125000, 1.00000000
0.00078750, 0.45000000, 0.11466667, 0.00000000, 0.43700000, 0.67820000, 0.41100000, 0.18943000, 0.16666667, 0.49750000, 0.50666667, 0.98467500, 0.16700000, 0.64000000
0.00125790, 0.45000000, 0.11466667, 0.00000000, 0.43700000, 0.65560000, 0.29100000, 0.22833500, 0.16666667, 0.49750000, 0.50666667, 0.95710000, 0.11400000, 0.59600000
0.00083700, 0.45000000, 0.11466667, 0.00000000, 0.43700000, 0.71850000, 0.38900000, 0.22833500, 0.16666667, 0.49750000, 0.50666667, 0.99225000, 0.13475000, 0.69800000
0.00069110, 0.45000000, 0.11466667, 0.00000000, 0.43700000, 0.67390000, 0.30800000, 0.32399000, 0.16666667, 0.49750000, 0.50666667, 0.97427500, 0.11725000, 0.61000000
0.00086640, 0.45000000, 0.11466667, 0.00000000, 0.43700000, 0.71780000, 0.26300000, 0.32399000, 0.16666667, 0.49750000, 0.50666667, 0.97622500, 0.07175000, 0.72800000
0.00021870, 0.60000000, 0.09766667, 0.00000000, 0.40100000, 0.68000000, 0.09900000, 0.31098000, 0.03333333, 0.33125000, 0.52000000, 0.98342500, 0.12575000, 0.62200000
0.00014390, 0.60000000, 0.09766667, 0.00000000, 0.40100000, 0.66040000, 0.18800000, 0.31098000, 0.03333333, 0.33125000, 0.52000000, 0.94175000, 0.10950000, 0.58200000
0.00040110, 0.80000000, 0.05066667, 0.00000000, 0.40400000, 0.72870000, 0.34100000, 0.36545000, 0.06666667, 0.41125000, 0.42000000, 0.99225000, 0.10200000, 0.66600000
0.00046660, 0.80000000, 0.05066667, 0.00000000, 0.40400000, 0.71070000, 0.36600000, 0.36545000, 0.06666667, 0.41125000, 0.42000000, 0.88577500, 0.21525000, 0.60600000
0.00037680, 0.80000000, 0.05066667, 0.00000000, 0.40400000, 0.72740000, 0.38300000, 0.36545000, 0.06666667, 0.41125000, 0.42000000, 0.98050000, 0.16550000, 0.69200000
0.00031500, 0.95000000, 0.04900000, 0.00000000, 0.40300000, 0.69750000, 0.15300000, 0.38267000, 0.10000000, 0.50250000, 0.56666667, 0.99225000, 0.11400000, 0.69800000
0.00034450, 0.82500000, 0.06766667, 0.00000000, 0.41500000, 0.61620000, 0.38400000, 0.31350000, 0.06666667, 0.43500000, 0.49000000, 0.98442500, 0.18575000, 0.48200000
0.00021770, 0.82500000, 0.06766667, 0.00000000, 0.41500000, 0.76100000, 0.15700000, 0.31350000, 0.06666667, 0.43500000, 0.49000000, 0.98845000, 0.07775000, 0.84600000
0.00035100, 0.95000000, 0.08933333, 0.00000000, 0.41610000, 0.78530000, 0.33200000, 0.25590000, 0.13333333, 0.28000000, 0.49000000, 0.98195000, 0.09525000, 0.97000000
0.00020090, 0.95000000, 0.08933333, 0.00000000, 0.41610000, 0.80340000, 0.31900000, 0.25590000, 0.13333333, 0.28000000, 0.49000000, 0.97637500, 0.07200000, 1.00000000
0.00229690, 0.00000000, 0.35300000, 0.00000000, 0.48900000, 0.63260000, 0.52500000, 0.21774500, 0.13333333, 0.34625000, 0.62000000, 0.98717500, 0.27425000, 0.48800000
0.00251990, 0.00000000, 0.35300000, 0.00000000, 0.48900000, 0.57830000, 0.72700000, 0.21774500, 0.13333333, 0.34625000, 0.62000000, 0.97357500, 0.45150000, 0.45000000
0.00135870, 0.00000000, 0.35300000, 1.00000000, 0.48900000, 0.60640000, 0.59100000, 0.21196000, 0.13333333, 0.34625000, 0.62000000, 0.95330000, 0.36650000, 0.48800000
0.00435710, 0.00000000, 0.35300000, 1.00000000, 0.48900000, 0.53440000, 1.00000000, 0.19375000, 0.13333333, 0.34625000, 0.62000000, 0.99225000, 0.57725000, 0.40000000
0.00375780, 0.00000000, 0.35300000, 1.00000000, 0.48900000, 0.54040000, 0.88600000, 0.18325000, 0.13333333, 0.34625000, 0.62000000, 0.98810000, 0.59950000, 0.38600000
0.00217190, 0.00000000, 0.35300000, 1.00000000, 0.48900000, 0.58070000, 0.53800000, 0.18263000, 0.13333333, 0.34625000, 0.62000000, 0.97735000, 0.40075000, 0.44800000
0.00140520, 0.00000000, 0.35300000, 0.00000000, 0.48900000, 0.63750000, 0.32300000, 0.19727000, 0.13333333, 0.34625000, 0.62000000, 0.96452500, 0.23450000, 0.56200000
0.00289550, 0.00000000, 0.35300000, 0.00000000, 0.48900000, 0.54120000, 0.09800000, 0.17937500, 0.13333333, 0.34625000, 0.62000000, 0.87232500, 0.73875000, 0.47400000
0.00045600, 0.00000000, 0.46300000, 1.00000000, 0.55000000, 0.58880000, 0.56000000, 0.15560500, 0.16666667, 0.34500000, 0.54666667, 0.98200000, 0.33775000, 0.46600000
0.00070130, 0.00000000, 0.46300000, 0.00000000, 0.55000000, 0.66420000, 0.85100000, 0.17105500, 0.16666667, 0.34500000, 0.54666667, 0.98195000, 0.24225000, 0.57400000
0.00110690, 0.00000000, 0.46300000, 1.00000000, 0.55000000, 0.59510000, 0.93800000, 0.14446500, 0.16666667, 0.34500000, 0.54666667, 0.99225000, 0.44800000, 0.43000000
0.00114250, 0.00000000, 0.46300000, 1.00000000, 0.55000000, 0.63730000, 0.92400000, 0.16816500, 0.16666667, 0.34500000, 0.54666667, 0.98435000, 0.26250000, 0.46000000
0.00407710, 0.00000000, 0.20666667, 1.00000000, 0.50700000, 0.61640000, 0.91300000, 0.15240000, 0.26666667, 0.38375000, 0.58000000, 0.98810000, 0.53650000, 0.43400000
0.00623560, 0.00000000, 0.20666667, 1.00000000, 0.50700000, 0.68790000, 0.77700000, 0.16360500, 0.26666667, 0.38375000, 0.58000000, 0.97597500, 0.24825000, 0.55000000
0.00614700, 0.00000000, 0.20666667, 0.00000000, 0.50700000, 0.66180000, 0.80800000, 0.16360500, 0.26666667, 0.38375000, 0.58000000, 0.99225000, 0.19000000, 0.60200000
0.00315330, 0.00000000, 0.20666667, 0.00000000, 0.50400000, 0.82660000, 0.78300000, 0.14472000, 0.26666667, 0.38375000, 0.58000000, 0.96262500, 0.10350000, 0.89600000
0.00382140, 0.00000000, 0.20666667, 0.00000000, 0.50400000, 0.80400000, 0.86500000, 0.16078500, 0.26666667, 0.38375000, 0.58000000, 0.96845000, 0.07825000, 0.75200000
0.00412380, 0.00000000, 0.20666667, 0.00000000, 0.50400000, 0.71630000, 0.79900000, 0.16078500, 0.26666667, 0.38375000, 0.58000000, 0.93020000, 0.15900000, 0.63200000
0.00298190, 0.00000000, 0.20666667, 0.00000000, 0.50400000, 0.76860000, 0.17000000, 0.16875500, 0.26666667, 0.38375000, 0.58000000, 0.94377500, 0.09800000, 0.93400000
0.00441780, 0.00000000, 0.20666667, 0.00000000, 0.50400000, 0.65520000, 0.21400000, 0.16875500, 0.26666667, 0.38375000, 0.58000000, 0.95085000, 0.09400000, 0.63000000
0.00462960, 0.00000000, 0.20666667, 0.00000000, 0.50400000, 0.74120000, 0.76900000, 0.18357500, 0.26666667, 0.38375000, 0.58000000, 0.94035000, 0.13125000, 0.63400000
0.00575290, 0.00000000, 0.20666667, 0.00000000, 0.50700000, 0.83370000, 0.73300000, 0.19192000, 0.26666667, 0.38375000, 0.58000000, 0.96477500, 0.06175000, 0.83400000
0.00331470, 0.00000000, 0.20666667, 0.00000000, 0.50700000, 0.82470000, 0.70400000, 0.18259500, 0.26666667, 0.38375000, 0.58000000, 0.94737500, 0.09875000, 0.96600000
0.00447910, 0.00000000, 0.20666667, 1.00000000, 0.50700000, 0.67260000, 0.66500000, 0.18259500, 0.26666667, 0.38375000, 0.58000000, 0.90050000, 0.20125000, 0.58000000
0.00520580, 0.00000000, 0.20666667, 1.00000000, 0.50700000, 0.66310000, 0.76500000, 0.20740000, 0.26666667, 0.38375000, 0.58000000, 0.97112500, 0.23850000, 0.50200000
0.00511830, 0.00000000, 0.20666667, 0.00000000, 0.50700000, 0.73580000, 0.71600000, 0.20740000, 0.26666667, 0.38375000, 0.58000000, 0.97517500, 0.11825000, 0.63000000
0.00082440, 0.30000000, 0.16433333, 0.00000000, 0.42800000, 0.64810000, 0.18500000, 0.30949500, 0.20000000, 0.37500000, 0.55333333, 0.94852500, 0.15900000, 0.47400000
0.00092520, 0.30000000, 0.16433333, 0.00000000, 0.42800000, 0.66060000, 0.42200000, 0.30949500, 0.20000000, 0.37500000, 0.55333333, 0.95945000, 0.18425000, 0.46600000
0.00106120, 0.30000000, 0.16433333, 0.00000000, 0.42800000, 0.60950000, 0.65100000, 0.31680500, 0.20000000, 0.37500000, 0.55333333, 0.98655000, 0.31000000, 0.40200000
0.00102900, 0.30000000, 0.16433333, 0.00000000, 0.42800000, 0.63580000, 0.52900000, 0.35177500, 0.20000000, 0.37500000, 0.55333333, 0.93187500, 0.28050000, 0.44400000
0.00127570, 0.30000000, 0.16433333, 0.00000000, 0.42800000, 0.63930000, 0.07800000, 0.35177500, 0.20000000, 0.37500000, 0.55333333, 0.93677500, 0.12975000, 0.47400000
0.00206080, 0.22000000, 0.19533333, 0.00000000, 0.43100000, 0.55930000, 0.76500000, 0.39774500, 0.23333333, 0.41250000, 0.63666667, 0.93122500, 0.31250000, 0.35200000
0.00339830, 0.22000000, 0.19533333, 0.00000000, 0.43100000, 0.61080000, 0.34900000, 0.40277500, 0.23333333, 0.41250000, 0.63666667, 0.97545000, 0.22900000, 0.48600000
0.00196570, 0.22000000, 0.19533333, 0.00000000, 0.43100000, 0.62260000, 0.79200000, 0.40277500, 0.23333333, 0.41250000, 0.63666667, 0.94035000, 0.25375000, 0.41000000
0.00164390, 0.22000000, 0.19533333, 0.00000000, 0.43100000, 0.64330000, 0.49100000, 0.39132500, 0.23333333, 0.41250000, 0.63666667, 0.93677500, 0.23800000, 0.49000000
0.00190730, 0.22000000, 0.19533333, 0.00000000, 0.43100000, 0.67180000, 0.17500000, 0.39132500, 0.23333333, 0.41250000, 0.63666667, 0.98435000, 0.16400000, 0.52400000
0.00214090, 0.22000000, 0.19533333, 0.00000000, 0.43100000, 0.64380000, 0.08900000, 0.36983500, 0.23333333, 0.41250000, 0.63666667, 0.94267500, 0.08975000, 0.49600000
0.00082210, 0.22000000, 0.19533333, 0.00000000, 0.43100000, 0.69570000, 0.06800000, 0.44533500, 0.23333333, 0.41250000, 0.63666667, 0.96522500, 0.08825000, 0.59200000
0.00368940, 0.22000000, 0.19533333, 0.00000000, 0.43100000, 0.82590000, 0.08400000, 0.44533500, 0.23333333, 0.41250000, 0.63666667, 0.99225000, 0.08850000, 0.85600000
0.00048190, 0.80000000, 0.12133333, 0.00000000, 0.39200000, 0.61080000, 0.32000000, 0.46101500, 0.03333333, 0.39375000, 0.54666667, 0.98222500, 0.16425000, 0.43800000
0.00015380, 0.90000000, 0.12500000, 0.00000000, 0.39400000, 0.74540000, 0.34200000, 0.31680500, 0.10000000, 0.30500000, 0.53000000, 0.96585000, 0.07775000, 0.88000000
0.00611540, 0.20000000, 0.13233333, 0.00000000, 0.64700000, 0.87040000, 0.86900000, 0.09005000, 0.16666667, 0.33000000, 0.43333333, 0.97425000, 0.12800000, 1.00000000
0.00663510, 0.20000000, 0.13233333, 0.00000000, 0.64700000, 0.73330000, 1.00000000, 0.09473000, 0.16666667, 0.33000000, 0.43333333, 0.95822500, 0.19475000, 0.72000000
0.00656650, 0.20000000, 0.13233333, 0.00000000, 0.64700000, 0.68420000, 1.00000000, 0.10053500, 0.16666667, 0.33000000, 0.43333333, 0.97982500, 0.17250000, 0.60200000
0.00534120, 0.20000000, 0.13233333, 0.00000000, 0.64700000, 0.75200000, 0.89400000, 0.10699000, 0.16666667, 0.33000000, 0.43333333, 0.97092500, 0.18150000, 0.86200000
0.00520140, 0.20000000, 0.13233333, 0.00000000, 0.64700000, 0.83980000, 0.91500000, 0.11442500, 0.16666667, 0.33000000, 0.43333333, 0.96715000, 0.14775000, 0.97600000
0.00825260, 0.20000000, 0.13233333, 0.00000000, 0.64700000, 0.73270000, 0.94500000, 0.10394000, 0.16666667, 0.33000000, 0.43333333, 0.98355000, 0.28125000, 0.62000000
0.00550070, 0.20000000, 0.13233333, 0.00000000, 0.64700000, 0.72060000, 0.91600000, 0.09650500, 0.16666667, 0.33000000, 0.43333333, 0.96972500, 0.20250000, 0.73000000
0.00785700, 0.20000000, 0.13233333, 0.00000000, 0.64700000, 0.70140000, 0.84600000, 0.10664500, 0.16666667, 0.33000000, 0.43333333, 0.96017500, 0.36975000, 0.61400000
0.00578340, 0.20000000, 0.13233333, 0.00000000, 0.57500000, 0.82970000, 0.67000000, 0.12108000, 0.16666667, 0.33000000, 0.43333333, 0.96135000, 0.18600000, 1.00000000
0.00540500, 0.20000000, 0.13233333, 0.00000000, 0.57500000, 0.74700000, 0.52600000, 0.14360000, 0.16666667, 0.33000000, 0.43333333, 0.97575000, 0.07900000, 0.87000000
0.00090650, 0.20000000, 0.23200000, 1.00000000, 0.46400000, 0.59200000, 0.61500000, 0.19587500, 0.10000000, 0.27875000, 0.62000000, 0.97835000, 0.34125000, 0.41400000
0.00162110, 0.20000000, 0.23200000, 0.00000000, 0.46400000, 0.62400000, 0.16300000, 0.22145000, 0.10000000, 0.27875000, 0.62000000, 0.99225000, 0.16475000, 0.50400000
0.00114600, 0.20000000, 0.23200000, 0.00000000, 0.46400000, 0.65380000, 0.58700000, 0.19587500, 0.10000000, 0.27875000, 0.62000000, 0.98740000, 0.19325000, 0.48800000
0.00221880, 0.20000000, 0.23200000, 1.00000000, 0.46400000, 0.76910000, 0.51800000, 0.21832500, 0.10000000, 0.27875000, 0.62000000, 0.97692500, 0.16450000, 0.70400000
0.00056440, 0.40000000, 0.21366667, 1.00000000, 0.44700000, 0.67580000, 0.32900000, 0.20388000, 0.13333333, 0.31750000, 0.58666667, 0.99225000, 0.08825000, 0.64800000
0.00104690, 0.40000000, 0.21366667, 1.00000000, 0.44700000, 0.72670000, 0.49000000, 0.23936000, 0.13333333, 0.31750000, 0.58666667, 0.97312500, 0.15125000, 0.66400000
0.00061270, 0.40000000, 0.21366667, 1.00000000, 0.44700000, 0.68260000, 0.27600000, 0.24314000, 0.13333333, 0.31750000, 0.58666667, 0.98362500, 0.10400000, 0.66200000
0.00079780, 0.40000000, 0.21366667, 0.00000000, 0.44700000, 0.64820000, 0.32100000, 0.20701500, 0.13333333, 0.31750000, 0.58666667, 0.99225000, 0.17975000, 0.58200000
0.00210380, 0.20000000, 0.11100000, 0.00000000, 0.44290000, 0.68120000, 0.32200000, 0.20503500, 0.16666667, 0.27000000, 0.49666667, 0.99225000, 0.12125000, 0.70200000
0.00037050, 0.20000000, 0.11100000, 0.00000000, 0.44290000, 0.69680000, 0.37200000, 0.26223500, 0.16666667, 0.27000000, 0.49666667, 0.98057500, 0.11475000, 0.70800000
0.00061290, 0.20000000, 0.11100000, 1.00000000, 0.44290000, 0.76450000, 0.49700000, 0.26059500, 0.16666667, 0.27000000, 0.49666667, 0.94267500, 0.07525000, 0.92000000
0.00015010, 0.90000000, 0.04033333, 1.00000000, 0.40100000, 0.79230000, 0.24800000, 0.29425000, 0.03333333, 0.24750000, 0.45333333, 0.98880000, 0.07900000, 1.00000000
0.00009060, 0.90000000, 0.09900000, 0.00000000, 0.40000000, 0.70880000, 0.20800000, 0.36536500, 0.03333333, 0.35625000, 0.51000000, 0.98680000, 0.19625000, 0.64400000
0.00019650, 0.80000000, 0.05866667, 0.00000000, 0.38500000, 0.62300000, 0.31500000, 0.45446000, 0.03333333, 0.30125000, 0.60666667, 0.85400000, 0.32325000, 0.40200000
0.00038710, 0.52500000, 0.17733333, 0.00000000, 0.40500000, 0.62090000, 0.31300000, 0.36586000, 0.20000000, 0.36625000, 0.55333333, 0.99225000, 0.17850000, 0.46400000
0.00045900, 0.52500000, 0.17733333, 0.00000000, 0.40500000, 0.63150000, 0.45600000, 0.36586000, 0.20000000, 0.36625000, 0.55333333, 0.99225000, 0.19000000, 0.44600000
0.00042970, 0.52500000, 0.17733333, 0.00000000, 0.40500000, 0.65650000, 0.22900000, 0.36586000, 0.20000000, 0.36625000, 0.55333333, 0.92930000, 0.23775000, 0.49600000
0.00078860, 0.80000000, 0.16500000, 0.00000000, 0.41100000, 0.71480000, 0.27700000, 0.25583500, 0.13333333, 0.30625000, 0.64000000, 0.99225000, 0.08900000, 0.74600000
0.00036150, 0.80000000, 0.16500000, 0.00000000, 0.41100000, 0.66300000, 0.23400000, 0.25583500, 0.13333333, 0.30625000, 0.64000000, 0.99225000, 0.11750000, 0.55800000
0.00082650, 0.00000000, 0.46400000, 0.00000000, 0.43700000, 0.61270000, 0.18400000, 0.27513500, 0.13333333, 0.36125000, 0.53333333, 0.99225000, 0.21450000, 0.47800000
0.00081990, 0.00000000, 0.46400000, 0.00000000, 0.43700000, 0.60090000, 0.42300000, 0.27513500, 0.13333333, 0.36125000, 0.53333333, 0.99225000, 0.26000000, 0.43400000
0.00053720, 0.00000000, 0.46400000, 0.00000000, 0.43700000, 0.65490000, 0.51000000, 0.29802000, 0.13333333, 0.36125000, 0.53333333, 0.98212500, 0.18475000, 0.54200000
0.00141030, 0.00000000, 0.46400000, 0.00000000, 0.43700000, 0.57900000, 0.58000000, 0.31600000, 0.13333333, 0.36125000, 0.53333333, 0.99225000, 0.39600000, 0.40600000
0.00064660, 0.70000000, 0.07466667, 0.00000000, 0.40000000, 0.63450000, 0.20100000, 0.39139000, 0.16666667, 0.44750000, 0.49333333, 0.92060000, 0.12425000, 0.45000000
0.00055610, 0.70000000, 0.07466667, 0.00000000, 0.40000000, 0.70410000, 0.10000000, 0.39139000, 0.16666667, 0.44750000, 0.49333333, 0.92895000, 0.11850000, 0.58000000
0.00035370, 0.34000000, 0.20300000, 0.00000000, 0.43300000, 0.65900000, 0.40400000, 0.27458500, 0.23333333, 0.41125000, 0.53666667, 0.98937500, 0.23750000, 0.44000000
0.00092660, 0.34000000, 0.20300000, 0.00000000, 0.43300000, 0.64950000, 0.18400000, 0.27458500, 0.23333333, 0.41125000, 0.53666667, 0.95902500, 0.21675000, 0.52800000
0.00100000, 0.34000000, 0.20300000, 0.00000000, 0.43300000, 0.69820000, 0.17700000, 0.27458500, 0.23333333, 0.41125000, 0.53666667, 0.97607500, 0.12150000, 0.66200000
0.00055150, 0.33000000, 0.07266667, 0.00000000, 0.47200000, 0.72360000, 0.41100000, 0.20110000, 0.23333333, 0.27750000, 0.61333333, 0.98420000, 0.17325000, 0.72200000
0.00075030, 0.33000000, 0.07266667, 0.00000000, 0.47200000, 0.74200000, 0.71900000, 0.15496000, 0.23333333, 0.27750000, 0.61333333, 0.99225000, 0.16175000, 0.66800000
0.00049320, 0.33000000, 0.07266667, 0.00000000, 0.47200000, 0.68490000, 0.70300000, 0.15913500, 0.23333333, 0.27750000, 0.61333333, 0.99225000, 0.18825000, 0.56400000
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0.05581070, 0.00000000, 0.60333333, 0.00000000, 0.71300000, 0.64360000, 0.87900000, 0.11579000, 0.80000000, 0.83250000, 0.67333333, 0.25047500, 0.40550000, 0.28600000
0.13913400, 0.00000000, 0.60333333, 0.00000000, 0.71300000, 0.62080000, 0.95000000, 0.11111000, 0.80000000, 0.83250000, 0.67333333, 0.25157500, 0.37925000, 0.23400000
0.14420800, 0.00000000, 0.60333333, 0.00000000, 0.74000000, 0.64610000, 0.93300000, 0.10013000, 0.80000000, 0.83250000, 0.67333333, 0.06872500, 0.45125000, 0.19200000
0.15177200, 0.00000000, 0.60333333, 0.00000000, 0.74000000, 0.61520000, 1.00000000, 0.09571000, 0.80000000, 0.83250000, 0.67333333, 0.02330000, 0.66125000, 0.17400000
0.13678100, 0.00000000, 0.60333333, 0.00000000, 0.74000000, 0.59350000, 0.87900000, 0.09103000, 0.80000000, 0.83250000, 0.67333333, 0.17237500, 0.85050000, 0.16800000
0.09390630, 0.00000000, 0.60333333, 0.00000000, 0.74000000, 0.56270000, 0.93900000, 0.09086000, 0.80000000, 0.83250000, 0.67333333, 0.99225000, 0.57200000, 0.25600000
0.09724180, 0.00000000, 0.60333333, 0.00000000, 0.74000000, 0.64060000, 0.97200000, 0.10325500, 0.80000000, 0.83250000, 0.67333333, 0.96490000, 0.48800000, 0.34200000
0.05666370, 0.00000000, 0.60333333, 0.00000000, 0.74000000, 0.62190000, 1.00000000, 0.10024000, 0.80000000, 0.83250000, 0.67333333, 0.98922500, 0.41475000, 0.36800000
0.09966540, 0.00000000, 0.60333333, 0.00000000, 0.74000000, 0.64850000, 1.00000000, 0.09892000, 0.80000000, 0.83250000, 0.67333333, 0.96682500, 0.47125000, 0.30800000
0.12802300, 0.00000000, 0.60333333, 0.00000000, 0.74000000, 0.58540000, 0.96600000, 0.09478000, 0.80000000, 0.83250000, 0.67333333, 0.60130000, 0.59475000, 0.21600000
0.06288070, 0.00000000, 0.60333333, 0.00000000, 0.74000000, 0.63410000, 0.96400000, 0.10360000, 0.80000000, 0.83250000, 0.67333333, 0.79502500, 0.44475000, 0.29800000
0.09924850, 0.00000000, 0.60333333, 0.00000000, 0.74000000, 0.62510000, 0.96600000, 0.10990000, 0.80000000, 0.83250000, 0.67333333, 0.97130000, 0.41100000, 0.25200000
0.09329090, 0.00000000, 0.60333333, 0.00000000, 0.71300000, 0.61850000, 0.98700000, 0.11308000, 0.80000000, 0.83250000, 0.67333333, 0.99225000, 0.45325000, 0.28200000
0.07526010, 0.00000000, 0.60333333, 0.00000000, 0.71300000, 0.64170000, 0.98300000, 0.10925000, 0.80000000, 0.83250000, 0.67333333, 0.76052500, 0.48275000, 0.26000000
0.05441140, 0.00000000, 0.60333333, 0.00000000, 0.71300000, 0.66550000, 0.98200000, 0.11776000, 0.80000000, 0.83250000, 0.67333333, 0.88822500, 0.44325000, 0.30400000
0.05090170, 0.00000000, 0.60333333, 0.00000000, 0.71300000, 0.62970000, 0.91800000, 0.11841000, 0.80000000, 0.83250000, 0.67333333, 0.96272500, 0.43175000, 0.32200000
0.08248090, 0.00000000, 0.60333333, 0.00000000, 0.71300000, 0.73930000, 0.99300000, 0.12263500, 0.80000000, 0.83250000, 0.67333333, 0.93967500, 0.41850000, 0.35600000
0.09513630, 0.00000000, 0.60333333, 0.00000000, 0.71300000, 0.67280000, 0.94100000, 0.12480500, 0.80000000, 0.83250000, 0.67333333, 0.01670000, 0.46775000, 0.29800000
0.04668830, 0.00000000, 0.60333333, 0.00000000, 0.71300000, 0.59760000, 0.87900000, 0.12903000, 0.80000000, 0.83250000, 0.67333333, 0.02620000, 0.47525000, 0.25400000
0.08200580, 0.00000000, 0.60333333, 0.00000000, 0.71300000, 0.59360000, 0.80300000, 0.13896000, 0.80000000, 0.83250000, 0.67333333, 0.00875000, 0.42350000, 0.27000000
0.07752230, 0.00000000, 0.60333333, 0.00000000, 0.71300000, 0.63010000, 0.83700000, 0.13915500, 0.80000000, 0.83250000, 0.67333333, 0.68052500, 0.40575000, 0.29800000
0.06801170, 0.00000000, 0.60333333, 0.00000000, 0.71300000, 0.60810000, 0.84400000, 0.13587500, 0.80000000, 0.83250000, 0.67333333, 0.99225000, 0.36750000, 0.40000000
0.03693110, 0.00000000, 0.60333333, 0.00000000, 0.71300000, 0.63760000, 0.88400000, 0.12835500, 0.80000000, 0.83250000, 0.67333333, 0.97857500, 0.36625000, 0.35400000
0.06654920, 0.00000000, 0.60333333, 0.00000000, 0.71300000, 0.63170000, 0.83000000, 0.13672000, 0.80000000, 0.83250000, 0.67333333, 0.99225000, 0.34975000, 0.39000000
0.05821150, 0.00000000, 0.60333333, 0.00000000, 0.71300000, 0.65130000, 0.89900000, 0.14008000, 0.80000000, 0.83250000, 0.67333333, 0.98455000, 0.25725000, 0.40400000
0.07839320, 0.00000000, 0.60333333, 0.00000000, 0.65500000, 0.62090000, 0.65400000, 0.14817000, 0.80000000, 0.83250000, 0.67333333, 0.99225000, 0.33050000, 0.42800000
0.03774980, 0.00000000, 0.60333333, 0.00000000, 0.65500000, 0.59520000, 0.84700000, 0.14357500, 0.80000000, 0.83250000, 0.67333333, 0.05502500, 0.42875000, 0.38000000
0.04422280, 0.00000000, 0.60333333, 0.00000000, 0.58400000, 0.60030000, 0.94500000, 0.12701500, 0.80000000, 0.83250000, 0.67333333, 0.82822500, 0.53300000, 0.38200000
0.15575700, 0.00000000, 0.60333333, 0.00000000, 0.58000000, 0.59260000, 0.71000000, 0.14542000, 0.80000000, 0.83250000, 0.67333333, 0.92185000, 0.45325000, 0.38200000
0.13075100, 0.00000000, 0.60333333, 0.00000000, 0.58000000, 0.57130000, 0.56700000, 0.14118500, 0.80000000, 0.83250000, 0.67333333, 0.99225000, 0.36900000, 0.40200000
0.04038410, 0.00000000, 0.60333333, 0.00000000, 0.53200000, 0.62290000, 0.90700000, 0.15496500, 0.80000000, 0.83250000, 0.67333333, 0.98832500, 0.32175000, 0.39200000
0.03568680, 0.00000000, 0.60333333, 0.00000000, 0.58000000, 0.64370000, 0.75000000, 0.14482500, 0.80000000, 0.83250000, 0.67333333, 0.98342500, 0.35900000, 0.46400000
0.04646890, 0.00000000, 0.60333333, 0.00000000, 0.61400000, 0.69800000, 0.67600000, 0.12664500, 0.80000000, 0.83250000, 0.67333333, 0.93670000, 0.29150000, 0.59600000
0.08055790, 0.00000000, 0.60333333, 0.00000000, 0.58400000, 0.54270000, 0.95400000, 0.12149000, 0.80000000, 0.83250000, 0.67333333, 0.88145000, 0.45350000, 0.27600000
0.04871410, 0.00000000, 0.60333333, 0.00000000, 0.61400000, 0.64840000, 0.93600000, 0.11526500, 0.80000000, 0.83250000, 0.67333333, 0.99052500, 0.46700000, 0.33400000
0.15023400, 0.00000000, 0.60333333, 0.00000000, 0.61400000, 0.53040000, 0.97300000, 0.10503500, 0.80000000, 0.83250000, 0.67333333, 0.87370000, 0.62275000, 0.24000000
0.10233000, 0.00000000, 0.60333333, 0.00000000, 0.61400000, 0.61850000, 0.96700000, 0.10852500, 0.80000000, 0.83250000, 0.67333333, 0.94925000, 0.45075000, 0.29200000
0.14333700, 0.00000000, 0.60333333, 0.00000000, 0.61400000, 0.62290000, 0.88000000, 0.09756000, 0.80000000, 0.83250000, 0.67333333, 0.95830000, 0.32775000, 0.42800000
0.05708180, 0.00000000, 0.60333333, 0.00000000, 0.53200000, 0.67500000, 0.74900000, 0.16658500, 0.80000000, 0.83250000, 0.67333333, 0.98267500, 0.19350000, 0.47400000
0.05731160, 0.00000000, 0.60333333, 0.00000000, 0.53200000, 0.70610000, 0.77000000, 0.17053000, 0.80000000, 0.83250000, 0.67333333, 0.98820000, 0.17525000, 0.50000000
0.02818380, 0.00000000, 0.60333333, 0.00000000, 0.53200000, 0.57620000, 0.40300000, 0.20491500, 0.80000000, 0.83250000, 0.67333333, 0.98230000, 0.26050000, 0.43600000
0.02378570, 0.00000000, 0.60333333, 0.00000000, 0.58300000, 0.58710000, 0.41900000, 0.18620000, 0.80000000, 0.83250000, 0.67333333, 0.92682500, 0.33350000, 0.41200000
0.05691750, 0.00000000, 0.60333333, 0.00000000, 0.58300000, 0.61140000, 0.79800000, 0.17729500, 0.80000000, 0.83250000, 0.67333333, 0.98170000, 0.37450000, 0.38200000
0.04835670, 0.00000000, 0.60333333, 0.00000000, 0.58300000, 0.59050000, 0.53200000, 0.15761500, 0.80000000, 0.83250000, 0.67333333, 0.97055000, 0.28625000, 0.41200000
0.00150860, 0.00000000, 0.92466667, 0.00000000, 0.60900000, 0.54540000, 0.92700000, 0.09104500, 0.13333333, 0.88875000, 0.67000000, 0.98772500, 0.45150000, 0.30400000
0.00183370, 0.00000000, 0.92466667, 0.00000000, 0.60900000, 0.54140000, 0.98300000, 0.08777000, 0.13333333, 0.88875000, 0.67000000, 0.86012500, 0.59925000, 0.14000000
0.00105740, 0.00000000, 0.92466667, 0.00000000, 0.60900000, 0.59830000, 0.98800000, 0.09340500, 0.13333333, 0.88875000, 0.67000000, 0.97527500, 0.45175000, 0.27200000
0.00111320, 0.00000000, 0.92466667, 0.00000000, 0.60900000, 0.59830000, 0.83500000, 0.10549500, 0.13333333, 0.88875000, 0.67000000, 0.99225000, 0.33375000, 0.40200000
0.00173310, 0.00000000, 0.32300000, 0.00000000, 0.58500000, 0.57070000, 0.54000000, 0.11908500, 0.20000000, 0.48875000, 0.64000000, 0.99225000, 0.30025000, 0.43600000
0.00279570, 0.00000000, 0.32300000, 0.00000000, 0.58500000, 0.59260000, 0.42600000, 0.11908500, 0.20000000, 0.48875000, 0.64000000, 0.99225000, 0.33975000, 0.49000000
0.00289600, 0.00000000, 0.32300000, 0.00000000, 0.58500000, 0.53900000, 0.72900000, 0.13993000, 0.20000000, 0.48875000, 0.64000000, 0.99225000, 0.52850000, 0.39400000
0.00268380, 0.00000000, 0.32300000, 0.00000000, 0.58500000, 0.57940000, 0.70600000, 0.14463500, 0.20000000, 0.48875000, 0.64000000, 0.99225000, 0.35250000, 0.36600000
0.00239120, 0.00000000, 0.32300000, 0.00000000, 0.58500000, 0.60190000, 0.65300000, 0.12045500, 0.20000000, 0.48875000, 0.64000000, 0.99225000, 0.32300000, 0.42400000
0.00177830, 0.00000000, 0.32300000, 0.00000000, 0.58500000, 0.55690000, 0.73500000, 0.11999500, 0.20000000, 0.48875000, 0.64000000, 0.98942500, 0.37750000, 0.35000000
Test data:
# boston_test.txt
# norm constants: 100, 100, 30, 1, 1, 10, 100, 20, 30, 800, 30, 400, 40, 50
#
# crime zoning indus river nox rooms oldness dist access tax pup_tch black low_stat med_val
0.00006320, 0.18000000, 0.07700000, 0.00000000, 0.53800000, 0.65750000, 0.65200000, 0.20450000, 0.03333333, 0.37000000, 0.51000000, 0.99225000, 0.12450000, 0.48000000
0.00029850, 0.00000000, 0.07266667, 0.00000000, 0.45800000, 0.64300000, 0.58700000, 0.30311000, 0.10000000, 0.27750000, 0.62333333, 0.98530000, 0.13025000, 0.57400000
0.00224890, 0.12500000, 0.26233333, 0.00000000, 0.52400000, 0.63770000, 0.94300000, 0.31733500, 0.16666667, 0.38875000, 0.50666667, 0.98130000, 0.51125000, 0.30000000
0.00627390, 0.00000000, 0.27133333, 0.00000000, 0.53800000, 0.58340000, 0.56500000, 0.22493000, 0.13333333, 0.38375000, 0.70000000, 0.98905000, 0.21175000, 0.39800000
0.01251790, 0.00000000, 0.27133333, 0.00000000, 0.53800000, 0.55700000, 0.98100000, 0.18989500, 0.13333333, 0.38375000, 0.70000000, 0.94142500, 0.52550000, 0.27200000
0.00840540, 0.00000000, 0.27133333, 0.00000000, 0.53800000, 0.55990000, 0.85700000, 0.22273000, 0.13333333, 0.38375000, 0.70000000, 0.75855000, 0.41275000, 0.27800000
0.01130810, 0.00000000, 0.27133333, 0.00000000, 0.53800000, 0.57130000, 0.94100000, 0.21165000, 0.13333333, 0.38375000, 0.70000000, 0.90042500, 0.56500000, 0.25400000
0.00064170, 0.00000000, 0.19866667, 0.00000000, 0.49900000, 0.59330000, 0.68200000, 0.16801500, 0.16666667, 0.34875000, 0.64000000, 0.99225000, 0.24200000, 0.37800000
0.00033590, 0.75000000, 0.09833333, 0.00000000, 0.42800000, 0.70240000, 0.15800000, 0.27005500, 0.10000000, 0.31500000, 0.61000000, 0.98905000, 0.04950000, 0.69800000
0.00171420, 0.00000000, 0.23033333, 0.00000000, 0.44800000, 0.56820000, 0.33800000, 0.25502000, 0.10000000, 0.29125000, 0.59666667, 0.99225000, 0.25525000, 0.38600000
0.00088730, 0.21000000, 0.18800000, 0.00000000, 0.43900000, 0.59630000, 0.45700000, 0.34073500, 0.13333333, 0.30375000, 0.56000000, 0.98890000, 0.33625000, 0.39400000
0.00013110, 0.90000000, 0.04066667, 0.00000000, 0.40300000, 0.72490000, 0.21900000, 0.43483000, 0.16666667, 0.28250000, 0.59666667, 0.98982500, 0.12025000, 0.70800000
0.00149320, 0.25000000, 0.17100000, 0.00000000, 0.45300000, 0.57410000, 0.66200000, 0.36127000, 0.26666667, 0.35500000, 0.65666667, 0.98777500, 0.32875000, 0.37400000
0.00035840, 0.80000000, 0.11233333, 0.00000000, 0.39800000, 0.62900000, 0.17800000, 0.33057500, 0.13333333, 0.42125000, 0.53666667, 0.99225000, 0.11675000, 0.47000000
0.00088260, 0.00000000, 0.36033333, 0.00000000, 0.41300000, 0.64170000, 0.06600000, 0.26436500, 0.13333333, 0.38125000, 0.64000000, 0.95932500, 0.16800000, 0.48400000
0.00095120, 0.00000000, 0.42766667, 0.00000000, 0.43700000, 0.62860000, 0.45000000, 0.22513000, 0.16666667, 0.49750000, 0.62333333, 0.95807500, 0.22350000, 0.42800000
0.00041130, 0.25000000, 0.16200000, 0.00000000, 0.42600000, 0.67270000, 0.33500000, 0.27003500, 0.13333333, 0.35125000, 0.63333333, 0.99225000, 0.13225000, 0.56000000
0.00057350, 0.00000000, 0.14966667, 0.00000000, 0.44900000, 0.66300000, 0.56100000, 0.22188500, 0.10000000, 0.30875000, 0.61666667, 0.98075000, 0.16325000, 0.53200000
0.00046840, 0.00000000, 0.11366667, 0.00000000, 0.48900000, 0.64170000, 0.66100000, 0.15461500, 0.06666667, 0.33750000, 0.59333333, 0.98045000, 0.22025000, 0.45200000
0.00122040, 0.00000000, 0.09633333, 0.00000000, 0.44500000, 0.66250000, 0.57800000, 0.17476000, 0.06666667, 0.34500000, 0.60000000, 0.89495000, 0.16625000, 0.56800000
0.00148660, 0.00000000, 0.28533333, 0.00000000, 0.52000000, 0.67270000, 0.79900000, 0.13889000, 0.16666667, 0.48000000, 0.69666667, 0.98690000, 0.23550000, 0.55000000
0.00132620, 0.00000000, 0.28533333, 0.00000000, 0.52000000, 0.58510000, 0.96700000, 0.10534500, 0.16666667, 0.48000000, 0.69666667, 0.98512500, 0.41175000, 0.39000000
0.00107930, 0.00000000, 0.28533333, 0.00000000, 0.52000000, 0.61950000, 0.54400000, 0.13889000, 0.16666667, 0.48000000, 0.69666667, 0.98372500, 0.32500000, 0.43400000
0.00171340, 0.00000000, 0.33366667, 0.00000000, 0.54700000, 0.59280000, 0.88200000, 0.12315500, 0.20000000, 0.54000000, 0.59333333, 0.86227500, 0.39400000, 0.36600000
0.00068990, 0.00000000, 0.85500000, 0.00000000, 0.58100000, 0.58700000, 0.69700000, 0.11288500, 0.06666667, 0.23500000, 0.63666667, 0.97287500, 0.35925000, 0.44000000
0.00169020, 0.00000000, 0.85500000, 0.00000000, 0.58100000, 0.59860000, 0.88400000, 0.09964500, 0.06666667, 0.23500000, 0.63666667, 0.96255000, 0.37025000, 0.42800000
0.00340060, 0.00000000, 0.72966667, 0.00000000, 0.62400000, 0.64580000, 0.98900000, 0.10592500, 0.13333333, 0.54625000, 0.70666667, 0.98760000, 0.31500000, 0.38400000
0.00557780, 0.00000000, 0.72966667, 0.00000000, 0.62400000, 0.63350000, 0.98200000, 0.10553500, 0.13333333, 0.54625000, 0.70666667, 0.98667500, 0.42400000, 0.36200000
0.00290900, 0.00000000, 0.72966667, 0.00000000, 0.62400000, 0.61740000, 0.93600000, 0.08059500, 0.13333333, 0.54625000, 0.70666667, 0.97020000, 0.60400000, 0.28000000
0.02379340, 0.00000000, 0.65266667, 0.00000000, 0.87100000, 0.61300000, 1.00000000, 0.07095500, 0.16666667, 0.50375000, 0.49000000, 0.43227500, 0.69500000, 0.27600000
0.01656600, 0.00000000, 0.65266667, 0.00000000, 0.87100000, 0.61220000, 0.97300000, 0.08090000, 0.16666667, 0.50375000, 0.49000000, 0.93200000, 0.35250000, 0.43000000
0.03535010, 0.00000000, 0.65266667, 1.00000000, 0.87100000, 0.61520000, 0.82600000, 0.08727500, 0.16666667, 0.50375000, 0.49000000, 0.22002500, 0.37550000, 0.31200000
0.01273460, 0.00000000, 0.65266667, 1.00000000, 0.60500000, 0.62500000, 0.92600000, 0.08992000, 0.16666667, 0.50375000, 0.49000000, 0.84730000, 0.13750000, 0.54000000
0.02924000, 0.00000000, 0.65266667, 0.00000000, 0.60500000, 0.61010000, 0.93000000, 0.11417000, 0.16666667, 0.50375000, 0.49000000, 0.60040000, 0.24525000, 0.50000000
0.01207420, 0.00000000, 0.65266667, 0.00000000, 0.60500000, 0.58750000, 0.94600000, 0.12129500, 0.16666667, 0.50375000, 0.49000000, 0.73072500, 0.36075000, 0.34800000
0.00066640, 0.00000000, 0.13500000, 0.00000000, 0.51000000, 0.65460000, 0.33100000, 0.15661500, 0.16666667, 0.37000000, 0.55333333, 0.97740000, 0.13325000, 0.58800000
0.00065880, 0.00000000, 0.08200000, 0.00000000, 0.48800000, 0.77650000, 0.83300000, 0.13705000, 0.10000000, 0.24125000, 0.59333333, 0.98890000, 0.18900000, 0.79600000
0.00060470, 0.00000000, 0.08200000, 0.00000000, 0.48800000, 0.61530000, 0.68800000, 0.16398500, 0.10000000, 0.24125000, 0.59333333, 0.96777500, 0.32875000, 0.59200000
0.00090680, 0.45000000, 0.11466667, 0.00000000, 0.43700000, 0.69510000, 0.21500000, 0.32399000, 0.16666667, 0.49750000, 0.50666667, 0.94420000, 0.12750000, 0.74000000
0.00013810, 0.80000000, 0.01533333, 0.00000000, 0.42200000, 0.78750000, 0.32000000, 0.28242000, 0.13333333, 0.31875000, 0.48000000, 0.98557500, 0.07425000, 1.00000000
0.00017780, 0.95000000, 0.04900000, 0.00000000, 0.40300000, 0.71350000, 0.13900000, 0.38267000, 0.10000000, 0.50250000, 0.56666667, 0.96075000, 0.11125000, 0.65800000
0.00136420, 0.00000000, 0.35300000, 0.00000000, 0.48900000, 0.58910000, 0.22300000, 0.19727000, 0.13333333, 0.34625000, 0.62000000, 0.99225000, 0.27175000, 0.45200000
0.00174460, 0.00000000, 0.35300000, 1.00000000, 0.48900000, 0.59600000, 0.92100000, 0.19385500, 0.13333333, 0.34625000, 0.62000000, 0.98312500, 0.43175000, 0.43400000
0.00198020, 0.00000000, 0.35300000, 0.00000000, 0.48900000, 0.61820000, 0.42400000, 0.19727000, 0.13333333, 0.34625000, 0.62000000, 0.98407500, 0.23675000, 0.50000000
0.00358090, 0.00000000, 0.20666667, 1.00000000, 0.50700000, 0.69510000, 0.88500000, 0.14308500, 0.26666667, 0.38375000, 0.58000000, 0.97925000, 0.24275000, 0.53400000
0.00526930, 0.00000000, 0.20666667, 0.00000000, 0.50400000, 0.87250000, 0.83000000, 0.14472000, 0.26666667, 0.38375000, 0.58000000, 0.95500000, 0.11575000, 1.00000000
0.00537000, 0.00000000, 0.20666667, 0.00000000, 0.50400000, 0.59810000, 0.68100000, 0.18357500, 0.26666667, 0.38375000, 0.58000000, 0.94587500, 0.29125000, 0.48600000
0.00330450, 0.00000000, 0.20666667, 0.00000000, 0.50700000, 0.60860000, 0.61500000, 0.18259500, 0.26666667, 0.38375000, 0.58000000, 0.94187500, 0.27200000, 0.48000000
0.00113290, 0.30000000, 0.16433333, 0.00000000, 0.42800000, 0.68970000, 0.54300000, 0.31680500, 0.20000000, 0.37500000, 0.55333333, 0.97812500, 0.28450000, 0.44000000
0.00191330, 0.22000000, 0.19533333, 0.00000000, 0.43100000, 0.56050000, 0.70200000, 0.39774500, 0.23333333, 0.41250000, 0.63666667, 0.97282500, 0.46150000, 0.37000000
0.00140300, 0.22000000, 0.19533333, 0.00000000, 0.43100000, 0.64870000, 0.13000000, 0.36983500, 0.23333333, 0.41250000, 0.63666667, 0.99070000, 0.14750000, 0.48800000
0.00035480, 0.80000000, 0.12133333, 0.00000000, 0.39200000, 0.58760000, 0.19100000, 0.46101500, 0.03333333, 0.39375000, 0.54666667, 0.98795000, 0.23125000, 0.41800000
0.00540110, 0.20000000, 0.13233333, 0.00000000, 0.64700000, 0.72030000, 0.81800000, 0.10560500, 0.16666667, 0.33000000, 0.43333333, 0.98200000, 0.23975000, 0.67600000
0.00761620, 0.20000000, 0.13233333, 0.00000000, 0.64700000, 0.55600000, 0.62800000, 0.09932500, 0.16666667, 0.33000000, 0.43333333, 0.98100000, 0.26125000, 0.45600000
0.00299160, 0.20000000, 0.23200000, 0.00000000, 0.46400000, 0.58560000, 0.42100000, 0.22145000, 0.10000000, 0.27875000, 0.62000000, 0.97162500, 0.32500000, 0.42200000
0.00096040, 0.40000000, 0.21366667, 0.00000000, 0.44700000, 0.68540000, 0.42800000, 0.21336500, 0.13333333, 0.31750000, 0.58666667, 0.99225000, 0.07450000, 0.64000000
0.00035780, 0.20000000, 0.11100000, 0.00000000, 0.44290000, 0.78200000, 0.64500000, 0.23473500, 0.16666667, 0.27000000, 0.49666667, 0.96827500, 0.09400000, 0.90800000
0.00010960, 0.55000000, 0.07500000, 0.00000000, 0.38900000, 0.64530000, 0.31900000, 0.36536500, 0.03333333, 0.37500000, 0.51000000, 0.98680000, 0.20575000, 0.44000000
0.00035020, 0.80000000, 0.16500000, 0.00000000, 0.41100000, 0.68610000, 0.27900000, 0.25583500, 0.13333333, 0.30625000, 0.64000000, 0.99225000, 0.08325000, 0.57000000
0.00129320, 0.00000000, 0.46400000, 0.00000000, 0.43700000, 0.66780000, 0.31100000, 0.29802000, 0.13333333, 0.36125000, 0.53333333, 0.99225000, 0.15675000, 0.57200000
0.00044170, 0.70000000, 0.07466667, 0.00000000, 0.40000000, 0.68710000, 0.47400000, 0.39139000, 0.16666667, 0.44750000, 0.49333333, 0.97715000, 0.15175000, 0.49600000
0.00054790, 0.33000000, 0.07266667, 0.00000000, 0.47200000, 0.66160000, 0.58100000, 0.16850000, 0.23333333, 0.27750000, 0.61333333, 0.98340000, 0.22325000, 0.56800000
0.02635480, 0.00000000, 0.33000000, 0.00000000, 0.54400000, 0.49730000, 0.37800000, 0.12597000, 0.13333333, 0.38000000, 0.61333333, 0.87612500, 0.31600000, 0.32200000
0.00253560, 0.00000000, 0.33000000, 0.00000000, 0.54400000, 0.57050000, 0.77700000, 0.19725000, 0.13333333, 0.38000000, 0.61333333, 0.99105000, 0.28750000, 0.32400000
0.00167600, 0.00000000, 0.24600000, 0.00000000, 0.49300000, 0.64260000, 0.52300000, 0.22702000, 0.16666667, 0.35875000, 0.65333333, 0.99225000, 0.18000000, 0.47600000
0.00191860, 0.00000000, 0.24600000, 0.00000000, 0.49300000, 0.64310000, 0.14700000, 0.27079500, 0.16666667, 0.35875000, 0.65333333, 0.98420000, 0.12700000, 0.49200000
0.00045440, 0.00000000, 0.10800000, 0.00000000, 0.46000000, 0.61440000, 0.32200000, 0.29368000, 0.13333333, 0.53750000, 0.56333333, 0.92142500, 0.22725000, 0.39600000
0.00039610, 0.00000000, 0.17300000, 0.00000000, 0.51500000, 0.60370000, 0.34500000, 0.29926500, 0.16666667, 0.28000000, 0.67333333, 0.99225000, 0.20025000, 0.42200000
0.00061510, 0.00000000, 0.17300000, 0.00000000, 0.51500000, 0.59680000, 0.58500000, 0.24061000, 0.16666667, 0.28000000, 0.67333333, 0.99225000, 0.23225000, 0.37400000
0.00031130, 0.00000000, 0.14633333, 0.00000000, 0.44200000, 0.60140000, 0.48500000, 0.40068000, 0.10000000, 0.44000000, 0.62666667, 0.96410000, 0.26325000, 0.35000000
0.00062110, 0.40000000, 0.04166667, 0.00000000, 0.42900000, 0.64900000, 0.44400000, 0.43960500, 0.03333333, 0.41875000, 0.65666667, 0.99225000, 0.14950000, 0.45800000
0.00106590, 0.80000000, 0.06366667, 0.00000000, 0.41300000, 0.59360000, 0.19500000, 0.52928500, 0.13333333, 0.41750000, 0.73333333, 0.94010000, 0.13925000, 0.41200000
0.04541920, 0.00000000, 0.60333333, 0.00000000, 0.77000000, 0.63980000, 0.88000000, 0.12591000, 0.80000000, 0.83250000, 0.67333333, 0.93640000, 0.19475000, 0.50000000
0.04555870, 0.00000000, 0.60333333, 0.00000000, 0.71800000, 0.35610000, 0.87900000, 0.08066000, 0.80000000, 0.83250000, 0.67333333, 0.88675000, 0.17800000, 0.55000000
0.06538760, 0.00000000, 0.60333333, 1.00000000, 0.63100000, 0.70160000, 0.97500000, 0.06012000, 0.80000000, 0.83250000, 0.67333333, 0.98012500, 0.07400000, 1.00000000
0.19609100, 0.00000000, 0.60333333, 0.00000000, 0.67100000, 0.73130000, 0.97900000, 0.06581500, 0.80000000, 0.83250000, 0.67333333, 0.99225000, 0.33600000, 0.30000000
0.88976200, 0.00000000, 0.60333333, 0.00000000, 0.67100000, 0.69680000, 0.91900000, 0.07082500, 0.80000000, 0.83250000, 0.67333333, 0.99225000, 0.43025000, 0.20800000
0.16811800, 0.00000000, 0.60333333, 0.00000000, 0.70000000, 0.52770000, 0.98100000, 0.07130500, 0.80000000, 0.83250000, 0.67333333, 0.99225000, 0.77025000, 0.14400000
0.06962150, 0.00000000, 0.60333333, 0.00000000, 0.70000000, 0.57130000, 0.97000000, 0.09632500, 0.80000000, 0.83250000, 0.67333333, 0.98607500, 0.42775000, 0.30200000
0.08716750, 0.00000000, 0.60333333, 0.00000000, 0.69300000, 0.64710000, 0.98800000, 0.08628500, 0.80000000, 0.83250000, 0.67333333, 0.97995000, 0.42800000, 0.26200000
0.25046100, 0.00000000, 0.60333333, 0.00000000, 0.69300000, 0.59870000, 1.00000000, 0.07944000, 0.80000000, 0.83250000, 0.67333333, 0.99225000, 0.66925000, 0.11200000
0.67920800, 0.00000000, 0.60333333, 0.00000000, 0.69300000, 0.56830000, 1.00000000, 0.07127000, 0.80000000, 0.83250000, 0.67333333, 0.96242500, 0.57450000, 0.10000000
0.51135800, 0.00000000, 0.60333333, 0.00000000, 0.59700000, 0.57570000, 1.00000000, 0.07065000, 0.80000000, 0.83250000, 0.67333333, 0.00650000, 0.25275000, 0.30000000
0.18084600, 0.00000000, 0.60333333, 0.00000000, 0.67900000, 0.64340000, 1.00000000, 0.09173500, 0.80000000, 0.83250000, 0.67333333, 0.06812500, 0.72625000, 0.14400000
0.11087400, 0.00000000, 0.60333333, 0.00000000, 0.71800000, 0.64110000, 1.00000000, 0.09294500, 0.80000000, 0.83250000, 0.67333333, 0.79687500, 0.37550000, 0.33400000
0.15860300, 0.00000000, 0.60333333, 0.00000000, 0.67900000, 0.58960000, 0.95400000, 0.09548000, 0.80000000, 0.83250000, 0.67333333, 0.01920000, 0.60975000, 0.16600000
0.08492130, 0.00000000, 0.60333333, 0.00000000, 0.58400000, 0.63480000, 0.86100000, 0.10263500, 0.80000000, 0.83250000, 0.67333333, 0.20862500, 0.44100000, 0.29000000
0.11160400, 0.00000000, 0.60333333, 0.00000000, 0.74000000, 0.66290000, 0.94600000, 0.10623500, 0.80000000, 0.83250000, 0.67333333, 0.27462500, 0.58175000, 0.26800000
0.22051100, 0.00000000, 0.60333333, 0.00000000, 0.74000000, 0.58180000, 0.92400000, 0.09331000, 0.80000000, 0.83250000, 0.67333333, 0.97862500, 0.55275000, 0.21000000
0.10671800, 0.00000000, 0.60333333, 0.00000000, 0.74000000, 0.64590000, 0.94800000, 0.09939500, 0.80000000, 0.83250000, 0.67333333, 0.10765000, 0.59950000, 0.23600000
0.06717720, 0.00000000, 0.60333333, 0.00000000, 0.71300000, 0.67490000, 0.92600000, 0.11618000, 0.80000000, 0.83250000, 0.67333333, 0.00080000, 0.43600000, 0.26800000
0.04752370, 0.00000000, 0.60333333, 0.00000000, 0.71300000, 0.65250000, 0.86500000, 0.12179000, 0.80000000, 0.83250000, 0.67333333, 0.12730000, 0.45325000, 0.28200000
0.04812130, 0.00000000, 0.60333333, 0.00000000, 0.71300000, 0.67010000, 0.90000000, 0.12987500, 0.80000000, 0.83250000, 0.67333333, 0.63807500, 0.41050000, 0.32800000
0.03163600, 0.00000000, 0.60333333, 0.00000000, 0.65500000, 0.57590000, 0.48200000, 0.15332500, 0.80000000, 0.83250000, 0.67333333, 0.83600000, 0.35325000, 0.39800000
0.04348790, 0.00000000, 0.60333333, 0.00000000, 0.58000000, 0.61670000, 0.84000000, 0.15167000, 0.80000000, 0.83250000, 0.67333333, 0.99225000, 0.40725000, 0.39800000
0.06393120, 0.00000000, 0.60333333, 0.00000000, 0.58400000, 0.61620000, 0.97400000, 0.11030000, 0.80000000, 0.83250000, 0.67333333, 0.75690000, 0.60250000, 0.26600000
0.05824010, 0.00000000, 0.60333333, 0.00000000, 0.53200000, 0.62420000, 0.64700000, 0.17121000, 0.80000000, 0.83250000, 0.67333333, 0.99225000, 0.26850000, 0.46000000
0.03673670, 0.00000000, 0.60333333, 0.00000000, 0.58300000, 0.63120000, 0.51900000, 0.19958500, 0.80000000, 0.83250000, 0.67333333, 0.97155000, 0.26450000, 0.42400000
0.00207460, 0.00000000, 0.92466667, 0.00000000, 0.60900000, 0.50930000, 0.98000000, 0.09113000, 0.13333333, 0.88875000, 0.67000000, 0.79607500, 0.74200000, 0.16200000
0.00178990, 0.00000000, 0.32300000, 0.00000000, 0.58500000, 0.56700000, 0.28800000, 0.13993000, 0.20000000, 0.48875000, 0.64000000, 0.98322500, 0.44000000, 0.46200000
0.00224380, 0.00000000, 0.32300000, 0.00000000, 0.58500000, 0.60270000, 0.79700000, 0.12491000, 0.20000000, 0.48875000, 0.64000000, 0.99225000, 0.35825000, 0.33600000
0.00062630, 0.00000000, 0.39766667, 0.00000000, 0.57300000, 0.65930000, 0.69100000, 0.12393000, 0.03333333, 0.34125000, 0.70000000, 0.97997500, 0.24175000, 0.44800000
0.00045270, 0.00000000, 0.39766667, 0.00000000, 0.57300000, 0.61200000, 0.76700000, 0.11437500, 0.03333333, 0.34125000, 0.70000000, 0.99225000, 0.22700000, 0.41200000
0.00060760, 0.00000000, 0.39766667, 0.00000000, 0.57300000, 0.69760000, 0.91000000, 0.10837500, 0.03333333, 0.34125000, 0.70000000, 0.99225000, 0.14100000, 0.47800000
0.00109590, 0.00000000, 0.39766667, 0.00000000, 0.57300000, 0.67940000, 0.89300000, 0.11944500, 0.03333333, 0.34125000, 0.70000000, 0.98362500, 0.16200000, 0.44000000
0.00047410, 0.00000000, 0.39766667, 0.00000000, 0.57300000, 0.60300000, 0.80800000, 0.12525000, 0.03333333, 0.34125000, 0.70000000, 0.99225000, 0.19700000, 0.23800000
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