Merge branch 'c'

This commit is contained in:
ltcptgeneral 2019-04-08 09:17:26 -05:00
commit c1635f79fe
11 changed files with 35864 additions and 260 deletions

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@ -153,9 +153,11 @@ from sklearn import *
import time import time
import torch import torch
class error(ValueError): class error(ValueError):
pass pass
def _init_device(setting, arg): # initiates computation device for ANNs def _init_device(setting, arg): # initiates computation device for ANNs
if setting == "cuda": if setting == "cuda":
try: try:
@ -170,6 +172,7 @@ def _init_device (setting, arg): #initiates computation device for ANNs
else: else:
raise error("specified device does not exist") raise error("specified device does not exist")
class c_entities: class c_entities:
c_names = [] c_names = []
@ -190,7 +193,6 @@ class c_entities:
self.c_logic = logic self.c_logic = logic
return None return None
def append(self, n_name, n_id, n_pos, n_property, n_logic): def append(self, n_name, n_id, n_pos, n_property, n_logic):
self.c_names.append(n_name) self.c_names.append(n_name)
self.c_ids.append(n_id) self.c_ids.append(n_id)
@ -232,6 +234,7 @@ class c_entities:
def regurgitate(self): def regurgitate(self):
return[self.c_names, self.c_ids, self.c_pos, self.c_properties, self.c_logic] return[self.c_names, self.c_ids, self.c_pos, self.c_properties, self.c_logic]
class nc_entities: class nc_entities:
c_names = [] c_names = []
@ -295,6 +298,7 @@ class nc_entities:
return[self.c_names, self.c_ids, self.c_pos, self.c_properties, self.c_effects] return[self.c_names, self.c_ids, self.c_pos, self.c_properties, self.c_effects]
class obstacles: class obstacles:
c_names = [] c_names = []
@ -351,6 +355,7 @@ class obstacles:
def regurgitate(self): def regurgitate(self):
return[self.c_names, self.c_ids, self.c_perim, self.c_effects] return[self.c_names, self.c_ids, self.c_perim, self.c_effects]
class objectives: class objectives:
c_names = [] c_names = []
@ -408,13 +413,16 @@ class objectives:
def regurgitate(self): def regurgitate(self):
return[self.c_names, self.c_ids, self.c_pos, self.c_effects] return[self.c_names, self.c_ids, self.c_pos, self.c_effects]
def load_csv(filepath): def load_csv(filepath):
with open(filepath, newline='') as csvfile: with open(filepath, newline='') as csvfile:
file_array = list(csv.reader(csvfile)) file_array = list(csv.reader(csvfile))
csvfile.close() csvfile.close()
return file_array return file_array
def basic_stats(data, method, arg): # data=array, mode = ['1d':1d_basic_stats, 'column':c_basic_stats, 'row':r_basic_stats], arg for mode 1 or mode 2 for column or row
# data=array, mode = ['1d':1d_basic_stats, 'column':c_basic_stats, 'row':r_basic_stats], arg for mode 1 or mode 2 for column or row
def basic_stats(data, method, arg):
if method == 'debug': if method == 'debug':
return "basic_stats requires 3 args: data, mode, arg; where data is data to be analyzed, mode is an int from 0 - 2 depending on type of analysis (by column or by row) and is only applicable to 2d arrays (for 1d arrays use mode 1), and arg is row/column number for mode 1 or mode 2; function returns: [mean, median, mode, stdev, variance]" return "basic_stats requires 3 args: data, mode, arg; where data is data to be analyzed, mode is an int from 0 - 2 depending on type of analysis (by column or by row) and is only applicable to 2d arrays (for 1d arrays use mode 1), and arg is row/column number for mode 1 or mode 2; function returns: [mean, median, mode, stdev, variance]"
@ -498,11 +506,15 @@ def basic_stats(data, method, arg): # data=array, mode = ['1d':1d_basic_stats, '
else: else:
raise error("method error") raise error("method error")
def z_score(point, mean, stdev): #returns z score with inputs of point, mean and standard deviation of spread
# returns z score with inputs of point, mean and standard deviation of spread
def z_score(point, mean, stdev):
score = (point - mean) / stdev score = (point - mean) / stdev
return score return score
def z_normalize(x, y, mode): #mode is either 'x' or 'y' or 'both' depending on the variable(s) to be normalized
# mode is either 'x' or 'y' or 'both' depending on the variable(s) to be normalized
def z_normalize(x, y, mode):
x_norm = [] x_norm = []
y_norm = [] y_norm = []
@ -543,19 +555,23 @@ def z_normalize(x, y, mode): #mode is either 'x' or 'y' or 'both' depending on t
return error('method error') return error('method error')
def stdev_z_split(mean, stdev, delta, low_bound, high_bound): #returns n-th percentile of spread given mean, standard deviation, lower z-score, and upper z-score
# returns n-th percentile of spread given mean, standard deviation, lower z-score, and upper z-score
def stdev_z_split(mean, stdev, delta, low_bound, high_bound):
z_split = [] z_split = []
i = low_bound i = low_bound
while True: while True:
z_split.append(float((1 / (stdev * math.sqrt(2 * math.pi))) * math.e ** (-0.5 * (((i - mean) / stdev) ** 2)))) z_split.append(float((1 / (stdev * math.sqrt(2 * math.pi))) *
math.e ** (-0.5 * (((i - mean) / stdev) ** 2))))
i = i + delta i = i + delta
if i > high_bound: if i > high_bound:
break break
return z_split return z_split
def histo_analysis(hist_data, delta, low_bound, high_bound): def histo_analysis(hist_data, delta, low_bound, high_bound):
if hist_data == 'debug': if hist_data == 'debug':
@ -593,6 +609,7 @@ def histo_analysis(hist_data, delta, low_bound, high_bound):
return predictions return predictions
def poly_regression(x, y, power): def poly_regression(x, y, power):
if x == "null": # if x is 'null', then x will be filled with integer points between 1 and the size of y if x == "null": # if x is 'null', then x will be filled with integer points between 1 and the size of y
@ -607,9 +624,11 @@ def poly_regression(x, y, power):
for i in range(0, len(reg_eq), 1): for i in range(0, len(reg_eq), 1):
if i < len(reg_eq) - 1: if i < len(reg_eq) - 1:
eq_str = eq_str + str(reg_eq[i]) + "*(z**" + str(len(reg_eq) - i - 1) + ")+" eq_str = eq_str + str(reg_eq[i]) + \
"*(z**" + str(len(reg_eq) - i - 1) + ")+"
else: else:
eq_str = eq_str + str(reg_eq[i]) + "*(z**" + str(len(reg_eq) - i - 1) + ")" eq_str = eq_str + str(reg_eq[i]) + \
"*(z**" + str(len(reg_eq) - i - 1) + ")"
vals = [] vals = []
@ -626,18 +645,22 @@ def poly_regression(x, y, power):
return [eq_str, _rms, r2_d2] return [eq_str, _rms, r2_d2]
def log_regression(x, y, base): def log_regression(x, y, base):
x_fit = [] x_fit = []
for i in range(len(x)): for i in range(len(x)):
try: try:
x_fit.append(np.log(x[i]) / np.log(base)) #change of base for logs # change of base for logs
x_fit.append(np.log(x[i]) / np.log(base))
except: except:
pass pass
reg_eq = np.polyfit(x_fit, y, 1) # y = reg_eq[0] * log(x, base) + reg_eq[1] # y = reg_eq[0] * log(x, base) + reg_eq[1]
q_str = str(reg_eq[0]) + "* (np.log(z) / np.log(" + str(base) +"))+" + str(reg_eq[1]) reg_eq = np.polyfit(x_fit, y, 1)
q_str = str(reg_eq[0]) + "* (np.log(z) / np.log(" + \
str(base) + "))+" + str(reg_eq[1])
vals = [] vals = []
for i in range(len(x)): for i in range(len(x)):
@ -653,18 +676,22 @@ def log_regression(x, y, base):
return eq_str, _rms, r2_d2 return eq_str, _rms, r2_d2
def exp_regression(x, y, base): def exp_regression(x, y, base):
y_fit = [] y_fit = []
for i in range(len(y)): for i in range(len(y)):
try: try:
y_fit.append(np.log(y[i]) / np.log(base)) #change of base for logs # change of base for logs
y_fit.append(np.log(y[i]) / np.log(base))
except: except:
pass pass
reg_eq = np.polyfit(x, y_fit, 1, w=np.sqrt(y_fit)) # y = base ^ (reg_eq[0] * x) * base ^ (reg_eq[1]) # y = base ^ (reg_eq[0] * x) * base ^ (reg_eq[1])
eq_str = "(" + str(base) + "**(" + str(reg_eq[0]) + "*z))*(" + str(base) + "**(" + str(reg_eq[1]) + "))" reg_eq = np.polyfit(x, y_fit, 1, w=np.sqrt(y_fit))
eq_str = "(" + str(base) + "**(" + \
str(reg_eq[0]) + "*z))*(" + str(base) + "**(" + str(reg_eq[1]) + "))"
vals = [] vals = []
for i in range(len(x)): for i in range(len(x)):
@ -680,6 +707,7 @@ def exp_regression(x, y, base):
return eq_str, _rms, r2_d2 return eq_str, _rms, r2_d2
def tanh_regression(x, y): def tanh_regression(x, y):
def tanh(x, a, b, c, d): def tanh(x, a, b, c, d):
@ -687,7 +715,8 @@ def tanh_regression(x, y):
return a * np.tanh(b * (x - c)) + d return a * np.tanh(b * (x - c)) + d
reg_eq = np.float64(curve_fit(tanh, np.array(x), np.array(y))[0]).tolist() reg_eq = np.float64(curve_fit(tanh, np.array(x), np.array(y))[0]).tolist()
eq_str = str(reg_eq[0]) + " * np.tanh(" + str(reg_eq[1]) + "*(z - " + str(reg_eq[2]) + ")) + " + str(reg_eq[3]) eq_str = str(reg_eq[0]) + " * np.tanh(" + str(reg_eq[1]) + \
"*(z - " + str(reg_eq[2]) + ")) + " + str(reg_eq[3])
vals = [] vals = []
for i in range(len(x)): for i in range(len(x)):
@ -702,10 +731,12 @@ def tanh_regression(x, y):
return eq_str, _rms, r2_d2 return eq_str, _rms, r2_d2
def r_squared(predictions, targets): # assumes equal size inputs def r_squared(predictions, targets): # assumes equal size inputs
return metrics.r2_score(np.array(targets), np.array(predictions)) return metrics.r2_score(np.array(targets), np.array(predictions))
def rms(predictions, targets): # assumes equal size inputs def rms(predictions, targets): # assumes equal size inputs
_sum = 0 _sum = 0
@ -715,6 +746,7 @@ def rms(predictions, targets): # assumes equal size inputs
return float(math.sqrt(_sum / len(targets))) return float(math.sqrt(_sum / len(targets)))
def calc_overfit(equation, rms_train, r2_train, x_test, y_test): def calc_overfit(equation, rms_train, r2_train, x_test, y_test):
# performance overfit = performance(train) - performance(test) where performance is r^2 # performance overfit = performance(train) - performance(test) where performance is r^2
@ -733,6 +765,7 @@ def calc_overfit(equation, rms_train, r2_train, x_test, y_test):
return r2_train - r2_test return r2_train - r2_test
def strip_data(data, mode): def strip_data(data, mode):
if mode == "adam": # x is the row number, y are the data if mode == "adam": # x is the row number, y are the data
@ -744,7 +777,9 @@ def strip_data(data, mode):
else: else:
raise error("mode error") raise error("mode error")
def optimize_regression(x, y, _range, resolution):#_range in poly regression is the range of powers tried, and in log/exp it is the inverse of the stepsize taken from -1000 to 1000
# _range in poly regression is the range of powers tried, and in log/exp it is the inverse of the stepsize taken from -1000 to 1000
def optimize_regression(x, y, _range, resolution):
# usage not: for demonstration purpose only, performance is shit # usage not: for demonstration purpose only, performance is shit
if type(resolution) != int: if type(resolution) != int:
raise error("resolution must be int") raise error("resolution must be int")
@ -810,7 +845,8 @@ def optimize_regression(x, y, _range, resolution):#_range in poly regression is
except: except:
pass pass
for i in range (0, len(eqs), 1): #marks all equations where r2 = 1 as they 95% of the time overfit the data # marks all equations where r2 = 1 as they 95% of the time overfit the data
for i in range(0, len(eqs), 1):
if r2s[i] == 1: if r2s[i] == 1:
eqs[i] = "" eqs[i] = ""
rmss[i] = "" rmss[i] = ""
@ -832,6 +868,7 @@ def optimize_regression(x, y, _range, resolution):#_range in poly regression is
return eqs, rmss, r2s, overfit return eqs, rmss, r2s, overfit
def select_best_regression(eqs, rmss, r2s, overfit, selector): def select_best_regression(eqs, rmss, r2s, overfit, selector):
b_eq = "" b_eq = ""
@ -860,11 +897,14 @@ def select_best_regression(eqs, rmss, r2s, overfit, selector):
return b_eq, b_rms, b_r2, b_overfit return b_eq, b_rms, b_r2, b_overfit
def p_value(x, y): # takes 2 1d arrays def p_value(x, y): # takes 2 1d arrays
return stats.ttest_ind(x, y)[1] return stats.ttest_ind(x, y)[1]
def basic_analysis(data): #assumes that rows are the independent variable and columns are the dependant. also assumes that time flows from lowest column to highest column.
# assumes that rows are the independent variable and columns are the dependant. also assumes that time flows from lowest column to highest column.
def basic_analysis(data):
row = len(data) row = len(data)
column = [] column = []
@ -900,6 +940,7 @@ def benchmark(x, y):
return [(end_g - start_g), (end_a - start_a)] return [(end_g - start_g), (end_a - start_a)]
def generate_data(filename, x, y, low, high): def generate_data(filename, x, y, low, high):
file = open(filename, "w") file = open(filename, "w")
@ -913,9 +954,11 @@ def generate_data(filename, x, y, low, high):
temp = temp + str(random.uniform(low, high)) temp = temp + str(random.uniform(low, high))
file.write(temp + "\n") file.write(temp + "\n")
class StatisticsError(ValueError): class StatisticsError(ValueError):
pass pass
def _sum(data, start=0): def _sum(data, start=0):
count = 0 count = 0
n, d = _exact_ratio(start) n, d = _exact_ratio(start)
@ -936,26 +979,35 @@ def _sum(data, start=0):
total = sum(Fraction(n, d) for d, n in sorted(partials.items())) total = sum(Fraction(n, d) for d, n in sorted(partials.items()))
return (T, total, count) return (T, total, count)
def _isfinite(x): def _isfinite(x):
try: try:
return x.is_finite() # Likely a Decimal. return x.is_finite() # Likely a Decimal.
except AttributeError: except AttributeError:
return math.isfinite(x) # Coerces to float first. return math.isfinite(x) # Coerces to float first.
def _coerce(T, S): def _coerce(T, S):
assert T is not bool, "initial type T is bool" assert T is not bool, "initial type T is bool"
if T is S: return T if T is S:
return T
if S is int or S is bool: return T if S is int or S is bool:
if T is int: return S return T
if T is int:
return S
if issubclass(S, T): return S if issubclass(S, T):
if issubclass(T, S): return T return S
if issubclass(T, S):
return T
if issubclass(T, int): return S if issubclass(T, int):
if issubclass(S, int): return T return S
if issubclass(S, int):
return T
if issubclass(T, Fraction) and issubclass(S, float): if issubclass(T, Fraction) and issubclass(S, float):
return S return S
@ -965,6 +1017,7 @@ def _coerce(T, S):
msg = "don't know how to coerce %s and %s" msg = "don't know how to coerce %s and %s"
raise TypeError(msg % (T.__name__, S.__name__)) raise TypeError(msg % (T.__name__, S.__name__))
def _exact_ratio(x): def _exact_ratio(x):
try: try:
@ -988,6 +1041,7 @@ def _exact_ratio(x):
msg = "can't convert type '{}' to numerator/denominator" msg = "can't convert type '{}' to numerator/denominator"
raise TypeError(msg.format(type(x).__name__)) raise TypeError(msg.format(type(x).__name__))
def _convert(value, T): def _convert(value, T):
if type(value) is T: if type(value) is T:
@ -1004,6 +1058,7 @@ def _convert(value, T):
else: else:
raise raise
def _counts(data): def _counts(data):
table = collections.Counter(iter(data)).most_common() table = collections.Counter(iter(data)).most_common()
@ -1041,6 +1096,7 @@ def _fail_neg(values, errmsg='negative value'):
raise StatisticsError(errmsg) raise StatisticsError(errmsg)
yield x yield x
def mean(data): def mean(data):
if iter(data) is data: if iter(data) is data:
@ -1052,6 +1108,7 @@ def mean(data):
assert count == n assert count == n
return _convert(total / n, T) return _convert(total / n, T)
def median(data): def median(data):
data = sorted(data) data = sorted(data)
@ -1064,6 +1121,7 @@ def median(data):
i = n // 2 i = n // 2
return (data[i - 1] + data[i]) / 2 return (data[i - 1] + data[i]) / 2
def mode(data): def mode(data):
table = _counts(data) table = _counts(data)
@ -1076,6 +1134,7 @@ def mode(data):
else: else:
raise StatisticsError('no mode for empty data') raise StatisticsError('no mode for empty data')
def _ss(data, c=None): def _ss(data, c=None):
if c is None: if c is None:
@ -1088,6 +1147,7 @@ def _ss(data, c=None):
assert not total < 0, 'negative sum of square deviations: %f' % total assert not total < 0, 'negative sum of square deviations: %f' % total
return (T, total) return (T, total)
def variance(data, xbar=None): def variance(data, xbar=None):
if iter(data) is data: if iter(data) is data:
@ -1098,6 +1158,7 @@ def variance(data, xbar=None):
T, ss = _ss(data, xbar) T, ss = _ss(data, xbar)
return _convert(ss / (n - 1), T) return _convert(ss / (n - 1), T)
def stdev(data, xbar=None): def stdev(data, xbar=None):
var = variance(data, xbar) var = variance(data, xbar)

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@ -0,0 +1,2 @@
python setup.py build_ext --inplace
pause

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@ -0,0 +1,5 @@
from distutils.core import setup
from Cython.Build import cythonize
setup(name='analysis',
ext_modules=cythonize("analysis.py"))

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@ -1,36 +1,36 @@
23,57,61,28,62,31,58,42 23,57,61,28,62,31,58,42,47,61,52,54,50,68,54,44,53,26,28,68
35,58,61,39,51,51,42,31,33,70 35,58,61,39,51,51,42,31,33,70,47,55,44,55,62,43,69,69,65,51,46,68,60,78,96,58,63
14,6,9,54,48,36,59,46,30,17,68,38 14,6,9,54,48,36,59,46,30,17,68,38,35,39,48,33,43,68,60,51,53,51,67,59
46,71,40,52,68,57,60,57,60,60,65 46,71,40,52,68,57,60,57,60,60,65,79,55,54,47,75,80,72,45,59,64,67,57,63,77,71,72,72,77
65,43,74,59,68,59,75,62,67,55,60,79,86,67,66,77,71,75 65,43,74,59,68,59,75,62,67,55,60,79,86,67,66,77,71,75,68,67,65,41,75,68,86,92,74,64,65,29,60,78,96,58,63
56,44,26,50,49,41,33,40,45,44,39,53,74,63,65,70,71 56,44,26,50,49,41,33,40,45,44,39,53,74,63,65,70,71,52,71,54,75,52,61,46,53,53,51,48,55,67,46,58
15,49,53,18,53,45,20,55,36,54,49,53,64,71,82,78,67,60,67 15,49,53,18,53,45,20,55,36,54,49,53,64,71,82,78,67,60,67,52,52,52,57,55,64,86,71,59,79,84,52,71,85,84,66,63,64
27,16,41,64,48,21,65,61,46,68,46,72,67,61 27,16,41,64,48,21,65,61,46,68,46,72,67,61,51,52,65,55,75,54,60,56,75,55,70,55,63,77,71,72,72,77
33,51,63,85,39,59,44,45,34,89,55,34,46 33,51,63,85,39,59,44,45,34,89,55,34,46,47,74,54,57,52,80,42,92,60,45,81,64,63,77,71,72,72,77
42,56,53,50,37,39,52,59,38,43,56,38,42,53 42,56,53,50,37,39,52,59,38,43,56,38,42,53,52,67,52,47,45,57,69,51,63,64,48,30,58,48
21,22,59,27,33,32,14,36,53,42,58,58 21,22,59,27,33,32,14,36,53,42,58,58,67,48,43,38,62,61,42,60,59,26,70,30,46,50
10,54,36,44,40,63,41,31,46 10,54,36,44,40,63,41,31,46,79,40,43,55,55,65,52,74,46,48,41,81,70,70,64
50,45,49,19,55,35,15,33 50,45,49,19,55,35,15,33,68,36,48,49,66,61,69,44,60,55,46,49,58,48
26,62,45,37,42,29,59,44,40,47,67,42,64,63,54,60,88,76,80,86,78,78,76 26,62,45,37,42,29,59,44,40,47,67,42,64,63,54,60,88,76,80,86,78,78,76,79,69,66,57,57,43,60,60,63,64,70,64,63,76
14,12,61,24,53,39,32,15,44 14,12,61,24,53,39,32,15,44,47,67,48,38,41,57,52,52,53,61,46,52
47,53,34,48,42,61,34,51,34,45,50,56,46,59,54,47,53,43,62,40,80,66,94,58,64,71,82,78,67,60,67 47,53,34,48,42,61,34,51,34,45,50,56,46,59,54,47,53,43,62,40,80,66,94,58,64,71,82,78,67,60,67,67,58,65,75,66,74,92,65,79,55,83,60,78,96,58,63
42,55,36,34,56,46,26,35,52,70 42,55,36,34,56,46,26,35,52,70,51,71,54,33,46,57,49,71,60,46,70,30
50,17,66,53,32,60,32,39,53 50,17,66,53,32,60,32,39,53,68,39,43,61,41,64,49,69,52,45,28,64
36,45,44,49,49,37,49,36,46 36,45,44,49,49,37,49,36,46,53,36,66,61,76,80,74,53,60,61,84,68,71,85,84,66,63,64
53,48,48,41,43,54,46,49,65,46,28,57
32,45,61,52,34,47,59,62,48,57,71,49,79,50,48,51,55,54,42,55,47,76,43,65,55,104,57,85,55 32,45,61,52,34,47,59,62,48,57,71,49,79,50,48,51,55,54,42,55,47,76,43,65,55,104,57,85,55,75,48,44,49,50,72,71,75,55,81,83,81,70,70,64
10,44,49,20,45,32,38,41 10,44,49,20,45,32,38,41,35,69,65,69,46,57,65,53,65,64,70,83,46,50
58,41,38,64,61,39,42,40,54,66,69,63,34 58,41,38,64,61,39,42,40,54,66,69,63,34,47,74,65,47,43,61,52,56,62,79,63,64,46,50
42,37,62,38,51,44,41,70,41,28 42,37,62,38,51,44,41,70,41,28,32,61,54,61,66,57,60,52,75,51,65,57
35,71,43,39,76,52,45,63,55,65,41,67,46,58
19,55,58,42,22,34,44,45,43,33,45 19,55,58,42,22,34,44,45,43,33,45,75,39,48,39,57,61,86,46,62,64,55,64,58,48
26,31,41,26,69,34,12,25 26,31,41,26,69,34,12,25,67,52,44,69,45,61,60,45,53,61,70,49
39,45,49,44,48,49,37,39 39,45,49,44,48,49,37,39,75,40,43,41,46,64,42,44,53,64,46,55,71,85,84,66,63,64
55,45,48,19,53,32,59,56,58,79,50 55,45,48,19,53,32,59,56,58,79,50,52,58,45,54,76,60,60,52,64,67,64,67,46,58
33,68,12,18,49,36,39,35,49,35,21,38 33,68,12,18,49,36,39,35,49,35,21,38,51,55,48,38,57,54,49,52,51,81,29
47,51,64,50,102,40,47,31,57,15,54,50,56,64,51,37,62,60,77,62,44,52,52,72,67 47,51,64,50,102,40,47,31,57,15,54,50,56,64,51,37,62,60,77,62,44,52,52,72,67,52,61,43,75,62,47,72,49,62,64,84,49,81,70,70,64
53,40,45,69,50,43,49,56,60,51,55,59
9,55,26,45,33,18,52,30,53,42,58,58 9,55,26,45,33,18,52,30,53,42,58,58,52,36,65,39,55,57,54,69,65,55,63,59,63,76
32,69,45,49,52,54,74,46,74,26,63,52,63,76
47,58,66,33,45,47,46,46,65,45,46,41
32,74,54,54,41,47,65,51,60,55,46,29

1 23,57,61,28,62,31,58,42 23,57,61,28,62,31,58,42,47,61,52,54,50,68,54,44,53,26,28,68
2 35,58,61,39,51,51,42,31,33,70 35,58,61,39,51,51,42,31,33,70,47,55,44,55,62,43,69,69,65,51,46,68,60,78,96,58,63
3 14,6,9,54,48,36,59,46,30,17,68,38 14,6,9,54,48,36,59,46,30,17,68,38,35,39,48,33,43,68,60,51,53,51,67,59
4 46,71,40,52,68,57,60,57,60,60,65 46,71,40,52,68,57,60,57,60,60,65,79,55,54,47,75,80,72,45,59,64,67,57,63,77,71,72,72,77
5 65,43,74,59,68,59,75,62,67,55,60,79,86,67,66,77,71,75 65,43,74,59,68,59,75,62,67,55,60,79,86,67,66,77,71,75,68,67,65,41,75,68,86,92,74,64,65,29,60,78,96,58,63
6 56,44,26,50,49,41,33,40,45,44,39,53,74,63,65,70,71 56,44,26,50,49,41,33,40,45,44,39,53,74,63,65,70,71,52,71,54,75,52,61,46,53,53,51,48,55,67,46,58
7 15,49,53,18,53,45,20,55,36,54,49,53,64,71,82,78,67,60,67 15,49,53,18,53,45,20,55,36,54,49,53,64,71,82,78,67,60,67,52,52,52,57,55,64,86,71,59,79,84,52,71,85,84,66,63,64
8 27,16,41,64,48,21,65,61,46,68,46,72,67,61 27,16,41,64,48,21,65,61,46,68,46,72,67,61,51,52,65,55,75,54,60,56,75,55,70,55,63,77,71,72,72,77
9 33,51,63,85,39,59,44,45,34,89,55,34,46 33,51,63,85,39,59,44,45,34,89,55,34,46,47,74,54,57,52,80,42,92,60,45,81,64,63,77,71,72,72,77
10 42,56,53,50,37,39,52,59,38,43,56,38,42,53 42,56,53,50,37,39,52,59,38,43,56,38,42,53,52,67,52,47,45,57,69,51,63,64,48,30,58,48
11 21,22,59,27,33,32,14,36,53,42,58,58 21,22,59,27,33,32,14,36,53,42,58,58,67,48,43,38,62,61,42,60,59,26,70,30,46,50
12 10,54,36,44,40,63,41,31,46 10,54,36,44,40,63,41,31,46,79,40,43,55,55,65,52,74,46,48,41,81,70,70,64
13 50,45,49,19,55,35,15,33 50,45,49,19,55,35,15,33,68,36,48,49,66,61,69,44,60,55,46,49,58,48
14 26,62,45,37,42,29,59,44,40,47,67,42,64,63,54,60,88,76,80,86,78,78,76 26,62,45,37,42,29,59,44,40,47,67,42,64,63,54,60,88,76,80,86,78,78,76,79,69,66,57,57,43,60,60,63,64,70,64,63,76
15 14,12,61,24,53,39,32,15,44 14,12,61,24,53,39,32,15,44,47,67,48,38,41,57,52,52,53,61,46,52
16 47,53,34,48,42,61,34,51,34,45,50,56,46,59,54,47,53,43,62,40,80,66,94,58,64,71,82,78,67,60,67 47,53,34,48,42,61,34,51,34,45,50,56,46,59,54,47,53,43,62,40,80,66,94,58,64,71,82,78,67,60,67,67,58,65,75,66,74,92,65,79,55,83,60,78,96,58,63
17 42,55,36,34,56,46,26,35,52,70 42,55,36,34,56,46,26,35,52,70,51,71,54,33,46,57,49,71,60,46,70,30
18 50,17,66,53,32,60,32,39,53 50,17,66,53,32,60,32,39,53,68,39,43,61,41,64,49,69,52,45,28,64
19 36,45,44,49,49,37,49,36,46 36,45,44,49,49,37,49,36,46,53,36,66,61,76,80,74,53,60,61,84,68,71,85,84,66,63,64
20 32,45,61,52,34,47,59,62,48,57,71,49,79,50,48,51,55,54,42,55,47,76,43,65,55,104,57,85,55 53,48,48,41,43,54,46,49,65,46,28,57
21 10,44,49,20,45,32,38,41 32,45,61,52,34,47,59,62,48,57,71,49,79,50,48,51,55,54,42,55,47,76,43,65,55,104,57,85,55,75,48,44,49,50,72,71,75,55,81,83,81,70,70,64
22 58,41,38,64,61,39,42,40,54,66,69,63,34 10,44,49,20,45,32,38,41,35,69,65,69,46,57,65,53,65,64,70,83,46,50
23 42,37,62,38,51,44,41,70,41,28 58,41,38,64,61,39,42,40,54,66,69,63,34,47,74,65,47,43,61,52,56,62,79,63,64,46,50
24 19,55,58,42,22,34,44,45,43,33,45 42,37,62,38,51,44,41,70,41,28,32,61,54,61,66,57,60,52,75,51,65,57
25 26,31,41,26,69,34,12,25 35,71,43,39,76,52,45,63,55,65,41,67,46,58
26 39,45,49,44,48,49,37,39 19,55,58,42,22,34,44,45,43,33,45,75,39,48,39,57,61,86,46,62,64,55,64,58,48
27 55,45,48,19,53,32,59,56,58,79,50 26,31,41,26,69,34,12,25,67,52,44,69,45,61,60,45,53,61,70,49
28 33,68,12,18,49,36,39,35,49,35,21,38 39,45,49,44,48,49,37,39,75,40,43,41,46,64,42,44,53,64,46,55,71,85,84,66,63,64
29 47,51,64,50,102,40,47,31,57,15,54,50,56,64,51,37,62,60,77,62,44,52,52,72,67 55,45,48,19,53,32,59,56,58,79,50,52,58,45,54,76,60,60,52,64,67,64,67,46,58
30 9,55,26,45,33,18,52,30,53,42,58,58 33,68,12,18,49,36,39,35,49,35,21,38,51,55,48,38,57,54,49,52,51,81,29
31 47,51,64,50,102,40,47,31,57,15,54,50,56,64,51,37,62,60,77,62,44,52,52,72,67,52,61,43,75,62,47,72,49,62,64,84,49,81,70,70,64
32 53,40,45,69,50,43,49,56,60,51,55,59
33 9,55,26,45,33,18,52,30,53,42,58,58,52,36,65,39,55,57,54,69,65,55,63,59,63,76
34 32,69,45,49,52,54,74,46,74,26,63,52,63,76
35 47,58,66,33,45,47,46,46,65,45,46,41
36 32,74,54,54,41,47,65,51,60,55,46,29