_id
stringlengths 2
5
| title
stringlengths 2
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| partition
stringclasses 3
values | text
stringlengths 8
6.97k
| language
stringclasses 1
value | meta_information
dict |
|---|---|---|---|---|---|
q47 | Stack | test | from collections import deque
stack = deque()
stack.append(value)
value = stack.pop()
not stack
| Python | {
"resource": ""
} |
q91 | Carmichael 3 strong pseudoprimes | test | class Isprime():
multiples = {2}
primes = [2]
nmax = 2
def __init__(self, nmax):
if nmax > self.nmax:
self.check(nmax)
def check(self, n):
if type(n) == float:
if not n.is_integer(): return False
n = int(n)
multiples = self.multiples
if n <= self.nmax:
return n not in multiples
else:
primes, nmax = self.primes, self.nmax
newmax = max(nmax*2, n)
for p in primes:
multiples.update(range(p*((nmax + p + 1) // p), newmax+1, p))
for i in range(nmax+1, newmax+1):
if i not in multiples:
primes.append(i)
multiples.update(range(i*2, newmax+1, i))
self.nmax = newmax
return n not in multiples
__call__ = check
def carmichael(p1):
ans = []
if isprime(p1):
for h3 in range(2, p1):
g = h3 + p1
for d in range(1, g):
if (g * (p1 - 1)) % d == 0 and (-p1 * p1) % h3 == d % h3:
p2 = 1 + ((p1 - 1)* g // d)
if isprime(p2):
p3 = 1 + (p1 * p2 // h3)
if isprime(p3):
if (p2 * p3) % (p1 - 1) == 1:
ans += [tuple(sorted((p1, p2, p3)))]
return ans
isprime = Isprime(2)
ans = sorted(sum((carmichael(n) for n in range(62) if isprime(n)), []))
print(',\n'.join(repr(ans[i:i+5])[1:-1] for i in range(0, len(ans)+1, 5)))
| Python | {
"resource": ""
} |
q92 | Image noise | test | black = color(0)
white = color(255)
def setup():
size(320, 240)
def draw():
loadPixels()
for i in range(len(pixels)):
if random(1) < 0.5:
pixels[i] = black
else:
pixels[i] = white
updatePixels()
fill(0, 128)
rect(0, 0, 60, 20)
fill(255)
text(frameRate, 5, 15)
| Python | {
"resource": ""
} |
q93 | Keyboard input_Obtain a Y or N response | test |
try:
from msvcrt import getch
except ImportError:
def getch():
import sys, tty, termios
fd = sys.stdin.fileno()
old_settings = termios.tcgetattr(fd)
try:
tty.setraw(sys.stdin.fileno())
ch = sys.stdin.read(1)
finally:
termios.tcsetattr(fd, termios.TCSADRAIN, old_settings)
return ch
print "Press Y or N to continue"
while True:
char = getch()
if char.lower() in ("y", "n"):
print char
break
| Python | {
"resource": ""
} |
q94 | Perfect numbers | test | def perf1(n):
sum = 0
for i in range(1, n):
if n % i == 0:
sum += i
return sum == n
| Python | {
"resource": ""
} |
q95 | Conjugate transpose | test | def conjugate_transpose(m):
return tuple(tuple(n.conjugate() for n in row) for row in zip(*m))
def mmul( ma, mb):
return tuple(tuple(sum( ea*eb for ea,eb in zip(a,b)) for b in zip(*mb)) for a in ma)
def mi(size):
'Complex Identity matrix'
sz = range(size)
m = [[0 + 0j for i in sz] for j in sz]
for i in range(size):
m[i][i] = 1 + 0j
return tuple(tuple(row) for row in m)
def __allsame(vector):
first, rest = vector[0], vector[1:]
return all(i == first for i in rest)
def __allnearsame(vector, eps=1e-14):
first, rest = vector[0], vector[1:]
return all(abs(first.real - i.real) < eps and abs(first.imag - i.imag) < eps
for i in rest)
def isequal(matrices, eps=1e-14):
'Check any number of matrices for equality within eps'
x = [len(m) for m in matrices]
if not __allsame(x): return False
y = [len(m[0]) for m in matrices]
if not __allsame(y): return False
for s in range(x[0]):
for t in range(y[0]):
if not __allnearsame([m[s][t] for m in matrices], eps): return False
return True
def ishermitian(m, ct):
return isequal([m, ct])
def isnormal(m, ct):
return isequal([mmul(m, ct), mmul(ct, m)])
def isunitary(m, ct):
mct, ctm = mmul(m, ct), mmul(ct, m)
mctx, mcty, cmx, ctmy = len(mct), len(mct[0]), len(ctm), len(ctm[0])
ident = mi(mctx)
return isequal([mct, ctm, ident])
def printm(comment, m):
print(comment)
fields = [['%g%+gj' % (f.real, f.imag) for f in row] for row in m]
width = max(max(len(f) for f in row) for row in fields)
lines = (', '.join('%*s' % (width, f) for f in row) for row in fields)
print('\n'.join(lines))
if __name__ == '__main__':
for matrix in [
((( 3.000+0.000j), (+2.000+1.000j)),
(( 2.000-1.000j), (+1.000+0.000j))),
((( 1.000+0.000j), (+1.000+0.000j), (+0.000+0.000j)),
(( 0.000+0.000j), (+1.000+0.000j), (+1.000+0.000j)),
(( 1.000+0.000j), (+0.000+0.000j), (+1.000+0.000j))),
((( 2**0.5/2+0.000j), (+2**0.5/2+0.000j), (+0.000+0.000j)),
(( 0.000+2**0.5/2j), (+0.000-2**0.5/2j), (+0.000+0.000j)),
(( 0.000+0.000j), (+0.000+0.000j), (+0.000+1.000j)))]:
printm('\nMatrix:', matrix)
ct = conjugate_transpose(matrix)
printm('Its conjugate transpose:', ct)
print('Hermitian? %s.' % ishermitian(matrix, ct))
print('Normal? %s.' % isnormal(matrix, ct))
print('Unitary? %s.' % isunitary(matrix, ct))
| Python | {
"resource": ""
} |
q96 | Jacobsthal numbers | test |
from math import floor, pow
def isPrime(n):
for i in range(2, int(n**0.5) + 1):
if n % i == 0:
return False
return True
def odd(n):
return n and 1 != 0
def jacobsthal(n):
return floor((pow(2,n)+odd(n))/3)
def jacobsthal_lucas(n):
return int(pow(2,n)+pow(-1,n))
def jacobsthal_oblong(n):
return jacobsthal(n)*jacobsthal(n+1)
if __name__ == '__main__':
print("First 30 Jacobsthal numbers:")
for j in range(0, 30):
print(jacobsthal(j), end=" ")
print("\n\nFirst 30 Jacobsthal-Lucas numbers: ")
for j in range(0, 30):
print(jacobsthal_lucas(j), end = '\t')
print("\n\nFirst 20 Jacobsthal oblong numbers: ")
for j in range(0, 20):
print(jacobsthal_oblong(j), end=" ")
print("\n\nFirst 10 Jacobsthal primes: ")
for j in range(3, 33):
if isPrime(jacobsthal(j)):
print(jacobsthal(j))
| Python | {
"resource": ""
} |
q97 | Sorting algorithms_Bead sort | test |
from itertools import zip_longest
def beadsort(l):
return list(map(sum, zip_longest(*[[1] * e for e in l], fillvalue=0)))
print(beadsort([5,3,1,7,4,1,1]))
| Python | {
"resource": ""
} |
q98 | Cistercian numerals | test |
def _init():
"digit sections for forming numbers"
digi_bits = .strip()
lines = [[d.replace('.', ' ') for d in ln.strip().split()]
for ln in digi_bits.strip().split('\n')
if '
formats = '<2 >2 <2 >2'.split()
digits = [[f"{dig:{f}}" for dig in line]
for f, line in zip(formats, lines)]
return digits
_digits = _init()
def _to_digits(n):
assert 0 <= n < 10_000 and int(n) == n
return [int(digit) for digit in f"{int(n):04}"][::-1]
def num_to_lines(n):
global _digits
d = _to_digits(n)
lines = [
''.join((_digits[1][d[1]], '┃', _digits[0][d[0]])),
''.join((_digits[0][ 0], '┃', _digits[0][ 0])),
''.join((_digits[3][d[3]], '┃', _digits[2][d[2]])),
]
return lines
def cjoin(c1, c2, spaces=' '):
return [spaces.join(by_row) for by_row in zip(c1, c2)]
if __name__ == '__main__':
for pow10 in range(4):
step = 10 ** pow10
print(f'\nArabic {step}-to-{9*step} by {step} in Cistercian:\n')
lines = num_to_lines(step)
for n in range(step*2, step*10, step):
lines = cjoin(lines, num_to_lines(n))
print('\n'.join(lines))
numbers = [0, 5555, 6789, 6666]
print(f'\nArabic {str(numbers)[1:-1]} in Cistercian:\n')
lines = num_to_lines(numbers[0])
for n in numbers[1:]:
lines = cjoin(lines, num_to_lines(n))
print('\n'.join(lines))
| Python | {
"resource": ""
} |
q99 | Arbitrary-precision integers (included) | test | >>> y = str( 5**4**3**2 )
>>> print ("5**4**3**2 = %s...%s and has %i digits" % (y[:20], y[-20:], len(y)))
5**4**3**2 = 62060698786608744707...92256259918212890625 and has 183231 digits
| Python | {
"resource": ""
} |
q100 | Draw a sphere | test | import math
shades = ('.',':','!','*','o','e','&','
def normalize(v):
len = math.sqrt(v[0]**2 + v[1]**2 + v[2]**2)
return (v[0]/len, v[1]/len, v[2]/len)
def dot(x,y):
d = x[0]*y[0] + x[1]*y[1] + x[2]*y[2]
return -d if d < 0 else 0
def draw_sphere(r, k, ambient, light):
for i in range(int(math.floor(-r)),int(math.ceil(r)+1)):
x = i + 0.5
line = ''
for j in range(int(math.floor(-2*r)),int(math.ceil(2*r)+1)):
y = j/2 + 0.5
if x*x + y*y <= r*r:
vec = normalize((x,y,math.sqrt(r*r - x*x - y*y)))
b = dot(light,vec)**k + ambient
intensity = int((1-b)*(len(shades)-1))
line += shades[intensity] if 0 <= intensity < len(shades) else shades[0]
else:
line += ' '
print(line)
light = normalize((30,30,-50))
draw_sphere(20,4,0.1, light)
draw_sphere(10,2,0.4, light)
| Python | {
"resource": ""
} |
q101 | Inverted index | test |
from pprint import pprint as pp
from glob import glob
try: reduce
except: from functools import reduce
try: raw_input
except: raw_input = input
def parsetexts(fileglob='InvertedIndex/T*.txt'):
texts, words = {}, set()
for txtfile in glob(fileglob):
with open(txtfile, 'r') as f:
txt = f.read().split()
words |= set(txt)
texts[txtfile.split('\\')[-1]] = txt
return texts, words
def termsearch(terms):
return reduce(set.intersection,
(invindex[term] for term in terms),
set(texts.keys()))
texts, words = parsetexts()
print('\nTexts')
pp(texts)
print('\nWords')
pp(sorted(words))
invindex = {word:set(txt
for txt, wrds in texts.items() if word in wrds)
for word in words}
print('\nInverted Index')
pp({k:sorted(v) for k,v in invindex.items()})
terms = ["what", "is", "it"]
print('\nTerm Search for: ' + repr(terms))
pp(sorted(termsearch(terms)))
| Python | {
"resource": ""
} |
q102 | Least common multiple | test | >>> import fractions
>>> def lcm(a,b): return abs(a * b) / fractions.gcd(a,b) if a and b else 0
>>> lcm(12, 18)
36
>>> lcm(-6, 14)
42
>>> assert lcm(0, 2) == lcm(2, 0) == 0
>>>
| Python | {
"resource": ""
} |
q103 | Fermat numbers | test | def factors(x):
factors = []
i = 2
s = int(x ** 0.5)
while i < s:
if x % i == 0:
factors.append(i)
x = int(x / i)
s = int(x ** 0.5)
i += 1
factors.append(x)
return factors
print("First 10 Fermat numbers:")
for i in range(10):
fermat = 2 ** 2 ** i + 1
print("F{} = {}".format(chr(i + 0x2080) , fermat))
print("\nFactors of first few Fermat numbers:")
for i in range(10):
fermat = 2 ** 2 ** i + 1
fac = factors(fermat)
if len(fac) == 1:
print("F{} -> IS PRIME".format(chr(i + 0x2080)))
else:
print("F{} -> FACTORS: {}".format(chr(i + 0x2080), fac))
| Python | {
"resource": ""
} |
q104 | Loops_Break | test | from random import randrange
while True:
a = randrange(20)
print(a)
if a == 10:
break
b = randrange(20)
print(b)
| Python | {
"resource": ""
} |
q105 | Hello world_Line printer | test | lp = open("/dev/lp0")
lp.write("Hello World!\n")
lp.close()
| Python | {
"resource": ""
} |
q106 | Water collected between towers | test | def water_collected(tower):
N = len(tower)
highest_left = [0] + [max(tower[:n]) for n in range(1,N)]
highest_right = [max(tower[n:N]) for n in range(1,N)] + [0]
water_level = [max(min(highest_left[n], highest_right[n]) - tower[n], 0)
for n in range(N)]
print("highest_left: ", highest_left)
print("highest_right: ", highest_right)
print("water_level: ", water_level)
print("tower_level: ", tower)
print("total_water: ", sum(water_level))
print("")
return sum(water_level)
towers = [[1, 5, 3, 7, 2],
[5, 3, 7, 2, 6, 4, 5, 9, 1, 2],
[2, 6, 3, 5, 2, 8, 1, 4, 2, 2, 5, 3, 5, 7, 4, 1],
[5, 5, 5, 5],
[5, 6, 7, 8],
[8, 7, 7, 6],
[6, 7, 10, 7, 6]]
[water_collected(tower) for tower in towers]
| Python | {
"resource": ""
} |
q107 | Descending primes | test | from sympy import isprime
def descending(xs=range(10)):
for x in xs:
yield x
yield from descending(x*10 + d for d in range(x%10))
for i, p in enumerate(sorted(filter(isprime, descending()))):
print(f'{p:9d}', end=' ' if (1 + i)%8 else '\n')
print()
| Python | {
"resource": ""
} |
q108 | Square-free integers | test | import math
def SquareFree ( _number ) :
max = (int) (math.sqrt ( _number ))
for root in range ( 2, max+1 ):
if 0 == _number % ( root * root ):
return False
return True
def ListSquareFrees( _start, _end ):
count = 0
for i in range ( _start, _end+1 ):
if True == SquareFree( i ):
print ( "{}\t".format(i), end="" )
count += 1
print ( "\n\nTotal count of square-free numbers between {} and {}: {}".format(_start, _end, count))
ListSquareFrees( 1, 100 )
ListSquareFrees( 1000000000000, 1000000000145 )
| Python | {
"resource": ""
} |
q109 | Jaro similarity | test |
from __future__ import division
def jaro(s, t):
s_len = len(s)
t_len = len(t)
if s_len == 0 and t_len == 0:
return 1
match_distance = (max(s_len, t_len) // 2) - 1
s_matches = [False] * s_len
t_matches = [False] * t_len
matches = 0
transpositions = 0
for i in range(s_len):
start = max(0, i - match_distance)
end = min(i + match_distance + 1, t_len)
for j in range(start, end):
if t_matches[j]:
continue
if s[i] != t[j]:
continue
s_matches[i] = True
t_matches[j] = True
matches += 1
break
if matches == 0:
return 0
k = 0
for i in range(s_len):
if not s_matches[i]:
continue
while not t_matches[k]:
k += 1
if s[i] != t[k]:
transpositions += 1
k += 1
return ((matches / s_len) +
(matches / t_len) +
((matches - transpositions / 2) / matches)) / 3
def main():
for s, t in [('MARTHA', 'MARHTA'),
('DIXON', 'DICKSONX'),
('JELLYFISH', 'SMELLYFISH')]:
print("jaro(%r, %r) = %.10f" % (s, t, jaro(s, t)))
if __name__ == '__main__':
main()
| Python | {
"resource": ""
} |
q110 | Sum and product puzzle | test |
from collections import Counter
def decompose_sum(s):
return [(a,s-a) for a in range(2,int(s/2+1))]
all_pairs = set((a,b) for a in range(2,100) for b in range(a+1,100) if a+b<100)
product_counts = Counter(c*d for c,d in all_pairs)
unique_products = set((a,b) for a,b in all_pairs if product_counts[a*b]==1)
s_pairs = [(a,b) for a,b in all_pairs if
all((x,y) not in unique_products for (x,y) in decompose_sum(a+b))]
product_counts = Counter(c*d for c,d in s_pairs)
p_pairs = [(a,b) for a,b in s_pairs if product_counts[a*b]==1]
sum_counts = Counter(c+d for c,d in p_pairs)
final_pairs = [(a,b) for a,b in p_pairs if sum_counts[a+b]==1]
print(final_pairs)
| Python | {
"resource": ""
} |
q111 | Fairshare between two and more | test | from itertools import count, islice
def _basechange_int(num, b):
if num == 0:
return [0]
result = []
while num != 0:
num, d = divmod(num, b)
result.append(d)
return result[::-1]
def fairshare(b=2):
for i in count():
yield sum(_basechange_int(i, b)) % b
if __name__ == '__main__':
for b in (2, 3, 5, 11):
print(f"{b:>2}: {str(list(islice(fairshare(b), 25)))[1:-1]}")
| Python | {
"resource": ""
} |
q112 | Two bullet roulette | test |
import numpy as np
class Revolver:
def __init__(self):
self.cylinder = np.array([False] * 6)
def unload(self):
self.cylinder[:] = False
def load(self):
while self.cylinder[1]:
self.cylinder[:] = np.roll(self.cylinder, 1)
self.cylinder[1] = True
def spin(self):
self.cylinder[:] = np.roll(self.cylinder, np.random.randint(1, high=7))
def fire(self):
shot = self.cylinder[0]
self.cylinder[:] = np.roll(self.cylinder, 1)
return shot
def LSLSFSF(self):
self.unload()
self.load()
self.spin()
self.load()
self.spin()
if self.fire():
return True
self.spin()
if self.fire():
return True
return False
def LSLSFF(self):
self.unload()
self.load()
self.spin()
self.load()
self.spin()
if self.fire():
return True
if self.fire():
return True
return False
def LLSFSF(self):
self.unload()
self.load()
self.load()
self.spin()
if self.fire():
return True
self.spin()
if self.fire():
return True
return False
def LLSFF(self):
self.unload()
self.load()
self.load()
self.spin()
if self.fire():
return True
if self.fire():
return True
return False
if __name__ == '__main__':
REV = Revolver()
TESTCOUNT = 100000
for (name, method) in [['load, spin, load, spin, fire, spin, fire', REV.LSLSFSF],
['load, spin, load, spin, fire, fire', REV.LSLSFF],
['load, load, spin, fire, spin, fire', REV.LLSFSF],
['load, load, spin, fire, fire', REV.LLSFF]]:
percentage = 100 * sum([method() for _ in range(TESTCOUNT)]) / TESTCOUNT
print("Method", name, "produces", percentage, "per cent deaths.")
| Python | {
"resource": ""
} |
q113 | Parsing_Shunting-yard algorithm | test | from collections import namedtuple
from pprint import pprint as pp
OpInfo = namedtuple('OpInfo', 'prec assoc')
L, R = 'Left Right'.split()
ops = {
'^': OpInfo(prec=4, assoc=R),
'*': OpInfo(prec=3, assoc=L),
'/': OpInfo(prec=3, assoc=L),
'+': OpInfo(prec=2, assoc=L),
'-': OpInfo(prec=2, assoc=L),
'(': OpInfo(prec=9, assoc=L),
')': OpInfo(prec=0, assoc=L),
}
NUM, LPAREN, RPAREN = 'NUMBER ( )'.split()
def get_input(inp = None):
'Inputs an expression and returns list of (TOKENTYPE, tokenvalue)'
if inp is None:
inp = input('expression: ')
tokens = inp.strip().split()
tokenvals = []
for token in tokens:
if token in ops:
tokenvals.append((token, ops[token]))
else:
tokenvals.append((NUM, token))
return tokenvals
def shunting(tokenvals):
outq, stack = [], []
table = ['TOKEN,ACTION,RPN OUTPUT,OP STACK,NOTES'.split(',')]
for token, val in tokenvals:
note = action = ''
if token is NUM:
action = 'Add number to output'
outq.append(val)
table.append( (val, action, ' '.join(outq), ' '.join(s[0] for s in stack), note) )
elif token in ops:
t1, (p1, a1) = token, val
v = t1
note = 'Pop ops from stack to output'
while stack:
t2, (p2, a2) = stack[-1]
if (a1 == L and p1 <= p2) or (a1 == R and p1 < p2):
if t1 != RPAREN:
if t2 != LPAREN:
stack.pop()
action = '(Pop op)'
outq.append(t2)
else:
break
else:
if t2 != LPAREN:
stack.pop()
action = '(Pop op)'
outq.append(t2)
else:
stack.pop()
action = '(Pop & discard "(")'
table.append( (v, action, ' '.join(outq), ' '.join(s[0] for s in stack), note) )
break
table.append( (v, action, ' '.join(outq), ' '.join(s[0] for s in stack), note) )
v = note = ''
else:
note = ''
break
note = ''
note = ''
if t1 != RPAREN:
stack.append((token, val))
action = 'Push op token to stack'
else:
action = 'Discard ")"'
table.append( (v, action, ' '.join(outq), ' '.join(s[0] for s in stack), note) )
note = 'Drain stack to output'
while stack:
v = ''
t2, (p2, a2) = stack[-1]
action = '(Pop op)'
stack.pop()
outq.append(t2)
table.append( (v, action, ' '.join(outq), ' '.join(s[0] for s in stack), note) )
v = note = ''
return table
if __name__ == '__main__':
infix = '3 + 4 * 2 / ( 1 - 5 ) ^ 2 ^ 3'
print( 'For infix expression: %r\n' % infix )
rp = shunting(get_input(infix))
maxcolwidths = [len(max(x, key=len)) for x in zip(*rp)]
row = rp[0]
print( ' '.join('{cell:^{width}}'.format(width=width, cell=cell) for (width, cell) in zip(maxcolwidths, row)))
for row in rp[1:]:
print( ' '.join('{cell:<{width}}'.format(width=width, cell=cell) for (width, cell) in zip(maxcolwidths, row)))
print('\n The final output RPN is: %r' % rp[-1][2])
| Python | {
"resource": ""
} |
q114 | Trabb Pardo–Knuth algorithm | test | Python 3.2.2 (default, Sep 4 2011, 09:51:08) [MSC v.1500 32 bit (Intel)] on win32
Type "copyright", "credits" or "license()" for more information.
>>> def f(x): return abs(x) ** 0.5 + 5 * x**3
>>> print(', '.join('%s:%s' % (x, v if v<=400 else "TOO LARGE!")
for x,v in ((y, f(float(y))) for y in input('\nnumbers: ').strip().split()[:11][::-1])))
11 numbers: 1 2 3 4 5 6 7 8 9 10 11
11:TOO LARGE!, 10:TOO LARGE!, 9:TOO LARGE!, 8:TOO LARGE!, 7:TOO LARGE!, 6:TOO LARGE!, 5:TOO LARGE!, 4:322.0, 3:136.73205080756887, 2:41.41421356237309, 1:6.0
>>>
| Python | {
"resource": ""
} |
q115 | Middle three digits | test | >>> def middle_three_digits(i):
s = str(abs(i))
length = len(s)
assert length >= 3 and length % 2 == 1, "Need odd and >= 3 digits"
mid = length // 2
return s[mid-1:mid+2]
>>> passing = [123, 12345, 1234567, 987654321, 10001, -10001, -123, -100, 100, -12345]
>>> failing = [1, 2, -1, -10, 2002, -2002, 0]
>>> for x in passing + failing:
try:
answer = middle_three_digits(x)
except AssertionError as error:
answer = error
print("middle_three_digits(%s) returned: %r" % (x, answer))
middle_three_digits(123) returned: '123'
middle_three_digits(12345) returned: '234'
middle_three_digits(1234567) returned: '345'
middle_three_digits(987654321) returned: '654'
middle_three_digits(10001) returned: '000'
middle_three_digits(-10001) returned: '000'
middle_three_digits(-123) returned: '123'
middle_three_digits(-100) returned: '100'
middle_three_digits(100) returned: '100'
middle_three_digits(-12345) returned: '234'
middle_three_digits(1) returned: AssertionError('Need odd and >= 3 digits',)
middle_three_digits(2) returned: AssertionError('Need odd and >= 3 digits',)
middle_three_digits(-1) returned: AssertionError('Need odd and >= 3 digits',)
middle_three_digits(-10) returned: AssertionError('Need odd and >= 3 digits',)
middle_three_digits(2002) returned: AssertionError('Need odd and >= 3 digits',)
middle_three_digits(-2002) returned: AssertionError('Need odd and >= 3 digits',)
middle_three_digits(0) returned: AssertionError('Need odd and >= 3 digits',)
>>>
| Python | {
"resource": ""
} |
q116 | Sequence_ nth number with exactly n divisors | test | def divisors(n):
divs = [1]
for ii in range(2, int(n ** 0.5) + 3):
if n % ii == 0:
divs.append(ii)
divs.append(int(n / ii))
divs.append(n)
return list(set(divs))
def is_prime(n):
return len(divisors(n)) == 2
def primes():
ii = 1
while True:
ii += 1
if is_prime(ii):
yield ii
def prime(n):
generator = primes()
for ii in range(n - 1):
generator.__next__()
return generator.__next__()
def n_divisors(n):
ii = 0
while True:
ii += 1
if len(divisors(ii)) == n:
yield ii
def sequence(max_n=None):
if max_n is not None:
for ii in range(1, max_n + 1):
if is_prime(ii):
yield prime(ii) ** (ii - 1)
else:
generator = n_divisors(ii)
for jj, out in zip(range(ii - 1), generator):
pass
yield generator.__next__()
else:
ii = 1
while True:
ii += 1
if is_prime(ii):
yield prime(ii) ** (ii - 1)
else:
generator = n_divisors(ii)
for jj, out in zip(range(ii - 1), generator):
pass
yield generator.__next__()
if __name__ == '__main__':
for item in sequence(15):
print(item)
| Python | {
"resource": ""
} |
q117 | Sequence_ smallest number with exactly n divisors | test | def divisors(n):
divs = [1]
for ii in range(2, int(n ** 0.5) + 3):
if n % ii == 0:
divs.append(ii)
divs.append(int(n / ii))
divs.append(n)
return list(set(divs))
def sequence(max_n=None):
n = 0
while True:
n += 1
ii = 0
if max_n is not None:
if n > max_n:
break
while True:
ii += 1
if len(divisors(ii)) == n:
yield ii
break
if __name__ == '__main__':
for item in sequence(15):
print(item)
| Python | {
"resource": ""
} |
q118 | Pancake numbers | test |
import time
from collections import deque
from operator import itemgetter
from typing import Tuple
Pancakes = Tuple[int, ...]
def flip(pancakes: Pancakes, position: int) -> Pancakes:
return tuple([*reversed(pancakes[:position]), *pancakes[position:]])
def pancake(n: int) -> Tuple[Pancakes, int]:
init_stack = tuple(range(1, n + 1))
stack_flips = {init_stack: 0}
queue = deque([init_stack])
while queue:
stack = queue.popleft()
flips = stack_flips[stack] + 1
for i in range(2, n + 1):
flipped = flip(stack, i)
if flipped not in stack_flips:
stack_flips[flipped] = flips
queue.append(flipped)
return max(stack_flips.items(), key=itemgetter(1))
if __name__ == "__main__":
start = time.time()
for n in range(1, 10):
pancakes, p = pancake(n)
print(f"pancake({n}) = {p:>2}. Example: {list(pancakes)}")
print(f"\nTook {time.time() - start:.3} seconds.")
| Python | {
"resource": ""
} |
q119 | Generate random chess position | test | import random
board = [[" " for x in range(8)] for y in range(8)]
piece_list = ["R", "N", "B", "Q", "P"]
def place_kings(brd):
while True:
rank_white, file_white, rank_black, file_black = random.randint(0,7), random.randint(0,7), random.randint(0,7), random.randint(0,7)
diff_list = [abs(rank_white - rank_black), abs(file_white - file_black)]
if sum(diff_list) > 2 or set(diff_list) == set([0, 2]):
brd[rank_white][file_white], brd[rank_black][file_black] = "K", "k"
break
def populate_board(brd, wp, bp):
for x in range(2):
if x == 0:
piece_amount = wp
pieces = piece_list
else:
piece_amount = bp
pieces = [s.lower() for s in piece_list]
while piece_amount != 0:
piece_rank, piece_file = random.randint(0, 7), random.randint(0, 7)
piece = random.choice(pieces)
if brd[piece_rank][piece_file] == " " and pawn_on_promotion_square(piece, piece_rank) == False:
brd[piece_rank][piece_file] = piece
piece_amount -= 1
def fen_from_board(brd):
fen = ""
for x in brd:
n = 0
for y in x:
if y == " ":
n += 1
else:
if n != 0:
fen += str(n)
fen += y
n = 0
if n != 0:
fen += str(n)
fen += "/" if fen.count("/") < 7 else ""
fen += " w - - 0 1\n"
return fen
def pawn_on_promotion_square(pc, pr):
if pc == "P" and pr == 0:
return True
elif pc == "p" and pr == 7:
return True
return False
def start():
piece_amount_white, piece_amount_black = random.randint(0, 15), random.randint(0, 15)
place_kings(board)
populate_board(board, piece_amount_white, piece_amount_black)
print(fen_from_board(board))
for x in board:
print(x)
start()
| Python | {
"resource": ""
} |
q120 | Esthetic numbers | test | from collections import deque
from itertools import dropwhile, islice, takewhile
from textwrap import wrap
from typing import Iterable, Iterator
Digits = str
def esthetic_nums(base: int) -> Iterator[int]:
queue: deque[tuple[int, int]] = deque()
queue.extendleft((d, d) for d in range(1, base))
while True:
num, lsd = queue.pop()
yield num
new_lsds = (d for d in (lsd - 1, lsd + 1) if 0 <= d < base)
num *= base
queue.extendleft((num + d, d) for d in new_lsds)
def to_digits(num: int, base: int) -> Digits:
digits: list[str] = []
while num:
num, d = divmod(num, base)
digits.append("0123456789abcdef"[d])
return "".join(reversed(digits)) if digits else "0"
def pprint_it(it: Iterable[str], indent: int = 4, width: int = 80) -> None:
joined = ", ".join(it)
lines = wrap(joined, width=width - indent)
for line in lines:
print(f"{indent*' '}{line}")
print()
def task_2() -> None:
nums: Iterator[int]
for base in range(2, 16 + 1):
start, stop = 4 * base, 6 * base
nums = esthetic_nums(base)
nums = islice(nums, start - 1, stop)
print(
f"Base-{base} esthetic numbers from "
f"index {start} through index {stop} inclusive:\n"
)
pprint_it(to_digits(num, base) for num in nums)
def task_3(lower: int, upper: int, base: int = 10) -> None:
nums: Iterator[int] = esthetic_nums(base)
nums = dropwhile(lambda num: num < lower, nums)
nums = takewhile(lambda num: num <= upper, nums)
print(
f"Base-{base} esthetic numbers with "
f"magnitude between {lower:,} and {upper:,}:\n"
)
pprint_it(to_digits(num, base) for num in nums)
if __name__ == "__main__":
print("======\nTask 2\n======\n")
task_2()
print("======\nTask 3\n======\n")
task_3(1_000, 9_999)
print("======\nTask 4\n======\n")
task_3(100_000_000, 130_000_000)
| Python | {
"resource": ""
} |
q121 | Topswops | test | >>> from itertools import permutations
>>> def f1(p):
i = 0
while True:
p0 = p[0]
if p0 == 1: break
p[:p0] = p[:p0][::-1]
i += 1
return i
>>> def fannkuch(n):
return max(f1(list(p)) for p in permutations(range(1, n+1)))
>>> for n in range(1, 11): print(n,fannkuch(n))
1 0
2 1
3 2
4 4
5 7
6 10
7 16
8 22
9 30
10 38
>>>
| Python | {
"resource": ""
} |
q122 | Old Russian measure of length | test | from sys import argv
unit2mult = {"arshin": 0.7112, "centimeter": 0.01, "diuym": 0.0254,
"fut": 0.3048, "kilometer": 1000.0, "liniya": 0.00254,
"meter": 1.0, "milia": 7467.6, "piad": 0.1778,
"sazhen": 2.1336, "tochka": 0.000254, "vershok": 0.04445,
"versta": 1066.8}
if __name__ == '__main__':
assert len(argv) == 3, 'ERROR. Need two arguments - number then units'
try:
value = float(argv[1])
except:
print('ERROR. First argument must be a (float) number')
raise
unit = argv[2]
assert unit in unit2mult, ( 'ERROR. Only know the following units: '
+ ' '.join(unit2mult.keys()) )
print("%g %s to:" % (value, unit))
for unt, mlt in sorted(unit2mult.items()):
print(' %10s: %g' % (unt, value * unit2mult[unit] / mlt))
| Python | {
"resource": ""
} |
q123 | Rate counter | test | import subprocess
import time
class Tlogger(object):
def __init__(self):
self.counts = 0
self.tottime = 0.0
self.laststart = 0.0
self.lastreport = time.time()
def logstart(self):
self.laststart = time.time()
def logend(self):
self.counts +=1
self.tottime += (time.time()-self.laststart)
if (time.time()-self.lastreport)>5.0:
self.report()
def report(self):
if ( self.counts > 4*self.tottime):
print "Subtask execution rate: %f times/second"% (self.counts/self.tottime);
else:
print "Average execution time: %f seconds"%(self.tottime/self.counts);
self.lastreport = time.time()
def taskTimer( n, subproc_args ):
logger = Tlogger()
for x in range(n):
logger.logstart()
p = subprocess.Popen(subproc_args)
p.wait()
logger.logend()
logger.report()
import timeit
import sys
def main( ):
s =
timer = timeit.Timer(s)
rzlts = timer.repeat(5, 5000)
for t in rzlts:
print "Time for 5000 executions of statement = ",t
print "
print "Command:",sys.argv[2:]
print ""
for k in range(3):
taskTimer( int(sys.argv[1]), sys.argv[2:])
main()
| Python | {
"resource": ""
} |
q124 | Sequence_ smallest number greater than previous term with exactly n divisors | test | def divisors(n):
divs = [1]
for ii in range(2, int(n ** 0.5) + 3):
if n % ii == 0:
divs.append(ii)
divs.append(int(n / ii))
divs.append(n)
return list(set(divs))
def sequence(max_n=None):
previous = 0
n = 0
while True:
n += 1
ii = previous
if max_n is not None:
if n > max_n:
break
while True:
ii += 1
if len(divisors(ii)) == n:
yield ii
previous = ii
break
if __name__ == '__main__':
for item in sequence(15):
print(item)
| Python | {
"resource": ""
} |
q125 | Padovan sequence | test | from math import floor
from collections import deque
from typing import Dict, Generator
def padovan_r() -> Generator[int, None, None]:
last = deque([1, 1, 1], 4)
while True:
last.append(last[-2] + last[-3])
yield last.popleft()
_p, _s = 1.324717957244746025960908854, 1.0453567932525329623
def padovan_f(n: int) -> int:
return floor(_p**(n-1) / _s + .5)
def padovan_l(start: str='A',
rules: Dict[str, str]=dict(A='B', B='C', C='AB')
) -> Generator[str, None, None]:
axiom = start
while True:
yield axiom
axiom = ''.join(rules[ch] for ch in axiom)
if __name__ == "__main__":
from itertools import islice
print("The first twenty terms of the sequence.")
print(str([padovan_f(n) for n in range(20)])[1:-1])
r_generator = padovan_r()
if all(next(r_generator) == padovan_f(n) for n in range(64)):
print("\nThe recurrence and floor based algorithms match to n=63 .")
else:
print("\nThe recurrence and floor based algorithms DIFFER!")
print("\nThe first 10 L-system string-lengths and strings")
l_generator = padovan_l(start='A', rules=dict(A='B', B='C', C='AB'))
print('\n'.join(f" {len(string):3} {repr(string)}"
for string in islice(l_generator, 10)))
r_generator = padovan_r()
l_generator = padovan_l(start='A', rules=dict(A='B', B='C', C='AB'))
if all(len(next(l_generator)) == padovan_f(n) == next(r_generator)
for n in range(32)):
print("\nThe L-system, recurrence and floor based algorithms match to n=31 .")
else:
print("\nThe L-system, recurrence and floor based algorithms DIFFER!")
| Python | {
"resource": ""
} |
q126 | Pythagoras tree | test | def setup():
size(800, 400)
background(255)
stroke(0, 255, 0)
tree(width / 2.3, height, width / 1.8, height, 10)
def tree(x1, y1, x2, y2, depth):
if depth <= 0: return
dx = (x2 - x1)
dy = (y1 - y2)
x3 = (x2 - dy)
y3 = (y2 - dx)
x4 = (x1 - dy)
y4 = (y1 - dx)
x5 = (x4 + 0.5 * (dx - dy))
y5 = (y4 - 0.5 * (dx + dy))
beginShape()
fill(0.0, 255.0 / depth, 0.0)
vertex(x1, y1)
vertex(x2, y2)
vertex(x3, y3)
vertex(x4, y4)
vertex(x1, y1)
endShape()
beginShape()
fill(0.0, 255.0 / depth, 0.0)
vertex(x3, y3)
vertex(x4, y4)
vertex(x5, y5)
vertex(x3, y3)
endShape()
tree(x4, y4, x5, y5, depth - 1)
tree(x5, y5, x3, y3, depth - 1)
| Python | {
"resource": ""
} |
q127 | Odd word problem | test | from sys import stdin, stdout
def char_in(): return stdin.read(1)
def char_out(c): stdout.write(c)
def odd(prev = lambda: None):
a = char_in()
if not a.isalpha():
prev()
char_out(a)
return a != '.'
def clos():
char_out(a)
prev()
return odd(clos)
def even():
while True:
c = char_in()
char_out(c)
if not c.isalpha(): return c != '.'
e = False
while odd() if e else even():
e = not e
| Python | {
"resource": ""
} |
q128 | Pseudo-random numbers_Combined recursive generator MRG32k3a | test |
a1 = [0, 1403580, -810728]
m1 = 2**32 - 209
a2 = [527612, 0, -1370589]
m2 = 2**32 - 22853
d = m1 + 1
class MRG32k3a():
def __init__(self, seed_state=123):
self.seed(seed_state)
def seed(self, seed_state):
assert 0 <seed_state < d, f"Out of Range 0 x < {d}"
self.x1 = [seed_state, 0, 0]
self.x2 = [seed_state, 0, 0]
def next_int(self):
"return random int in range 0..d"
x1i = sum(aa * xx for aa, xx in zip(a1, self.x1)) % m1
x2i = sum(aa * xx for aa, xx in zip(a2, self.x2)) % m2
self.x1 = [x1i] + self.x1[:2]
self.x2 = [x2i] + self.x2[:2]
z = (x1i - x2i) % m1
answer = (z + 1)
return answer
def next_float(self):
"return random float between 0 and 1"
return self.next_int() / d
if __name__ == '__main__':
random_gen = MRG32k3a()
random_gen.seed(1234567)
for i in range(5):
print(random_gen.next_int())
random_gen.seed(987654321)
hist = {i:0 for i in range(5)}
for i in range(100_000):
hist[int(random_gen.next_float() *5)] += 1
print(hist)
| Python | {
"resource": ""
} |
q129 | Stern-Brocot sequence | test | def stern_brocot(predicate=lambda series: len(series) < 20):
sb, i = [1, 1], 0
while predicate(sb):
sb += [sum(sb[i:i + 2]), sb[i + 1]]
i += 1
return sb
if __name__ == '__main__':
from fractions import gcd
n_first = 15
print('The first %i values:\n ' % n_first,
stern_brocot(lambda series: len(series) < n_first)[:n_first])
print()
n_max = 10
for n_occur in list(range(1, n_max + 1)) + [100]:
print('1-based index of the first occurrence of %3i in the series:' % n_occur,
stern_brocot(lambda series: n_occur not in series).index(n_occur) + 1)
print()
n_gcd = 1000
s = stern_brocot(lambda series: len(series) < n_gcd)[:n_gcd]
assert all(gcd(prev, this) == 1
for prev, this in zip(s, s[1:])), 'A fraction from adjacent terms is reducible'
| Python | {
"resource": ""
} |
q130 | Numeric error propagation | test | from collections import namedtuple
import math
class I(namedtuple('Imprecise', 'value, delta')):
'Imprecise type: I(value=0.0, delta=0.0)'
__slots__ = ()
def __new__(_cls, value=0.0, delta=0.0):
'Defaults to 0.0 ± delta'
return super().__new__(_cls, float(value), abs(float(delta)))
def reciprocal(self):
return I(1. / self.value, self.delta / (self.value**2))
def __str__(self):
'Shorter form of Imprecise as string'
return 'I(%g, %g)' % self
def __neg__(self):
return I(-self.value, self.delta)
def __add__(self, other):
if type(other) == I:
return I( self.value + other.value, (self.delta**2 + other.delta**2)**0.5 )
try:
c = float(other)
except:
return NotImplemented
return I(self.value + c, self.delta)
def __sub__(self, other):
return self + (-other)
def __radd__(self, other):
return I.__add__(self, other)
def __mul__(self, other):
if type(other) == I:
a1,b1 = self
a2,b2 = other
f = a1 * a2
return I( f, f * ( (b1 / a1)**2 + (b2 / a2)**2 )**0.5 )
try:
c = float(other)
except:
return NotImplemented
return I(self.value * c, self.delta * c)
def __pow__(self, other):
if type(other) == I:
return NotImplemented
try:
c = float(other)
except:
return NotImplemented
f = self.value ** c
return I(f, f * c * (self.delta / self.value))
def __rmul__(self, other):
return I.__mul__(self, other)
def __truediv__(self, other):
if type(other) == I:
return self.__mul__(other.reciprocal())
try:
c = float(other)
except:
return NotImplemented
return I(self.value / c, self.delta / c)
def __rtruediv__(self, other):
return other * self.reciprocal()
__div__, __rdiv__ = __truediv__, __rtruediv__
Imprecise = I
def distance(p1, p2):
x1, y1 = p1
x2, y2 = p2
return ((x1 - x2)**2 + (y1 - y2)**2)**0.5
x1 = I(100, 1.1)
x2 = I(200, 2.2)
y1 = I( 50, 1.2)
y2 = I(100, 2.3)
p1, p2 = (x1, y1), (x2, y2)
print("Distance between points\n p1: %s\n and p2: %s\n = %r" % (
p1, p2, distance(p1, p2)))
| Python | {
"resource": ""
} |
q131 | List rooted trees | test | def bags(n,cache={}):
if not n: return [(0, "")]
upto = sum([bags(x) for x in range(n-1, 0, -1)], [])
return [(c+1, '('+s+')') for c,s in bagchain((0, ""), n-1, upto)]
def bagchain(x, n, bb, start=0):
if not n: return [x]
out = []
for i in range(start, len(bb)):
c,s = bb[i]
if c <= n: out += bagchain((x[0] + c, x[1] + s), n-c, bb, i)
return out
def replace_brackets(s):
depth,out = 0,[]
for c in s:
if c == '(':
out.append("([{"[depth%3])
depth += 1
else:
depth -= 1
out.append(")]}"[depth%3])
return "".join(out)
for x in bags(5): print(replace_brackets(x[1]))
| Python | {
"resource": ""
} |
q132 | Longest common suffix | test |
from itertools import takewhile
from functools import reduce
def longestCommonSuffix(xs):
def allSame(cs):
h = cs[0]
return all(h == c for c in cs[1:])
def firstCharPrepended(s, cs):
return cs[0] + s
return reduce(
firstCharPrepended,
takewhile(
allSame,
zip(*(reversed(x) for x in xs))
),
''
)
def main():
samples = [
[
"Sunday", "Monday", "Tuesday", "Wednesday",
"Thursday", "Friday", "Saturday"
], [
"Sondag", "Maandag", "Dinsdag", "Woensdag",
"Donderdag", "Vrydag", "Saterdag"
]
]
for xs in samples:
print(
longestCommonSuffix(xs)
)
if __name__ == '__main__':
main()
| Python | {
"resource": ""
} |
q133 | Sum of elements below main diagonal of matrix | test | from numpy import array, tril, sum
A = [[1,3,7,8,10],
[2,4,16,14,4],
[3,1,9,18,11],
[12,14,17,18,20],
[7,1,3,9,5]]
print(sum(tril(A, -1)))
| Python | {
"resource": ""
} |
q134 | FASTA format | test | import io
FASTA=
infile = io.StringIO(FASTA)
def fasta_parse(infile):
key = ''
for line in infile:
if line.startswith('>'):
if key:
yield key, val
key, val = line[1:].rstrip().split()[0], ''
elif key:
val += line.rstrip()
if key:
yield key, val
print('\n'.join('%s: %s' % keyval for keyval in fasta_parse(infile)))
| Python | {
"resource": ""
} |
q135 | Elementary cellular automaton_Random number generator | test | from elementary_cellular_automaton import eca, eca_wrap
def rule30bytes(lencells=100):
cells = '1' + '0' * (lencells - 1)
gen = eca(cells, 30)
while True:
yield int(''.join(next(gen)[0] for i in range(8)), 2)
if __name__ == '__main__':
print([b for i,b in zip(range(10), rule30bytes())])
| Python | {
"resource": ""
} |
q136 | Pseudo-random numbers_PCG32 | test | mask64 = (1 << 64) - 1
mask32 = (1 << 32) - 1
CONST = 6364136223846793005
class PCG32():
def __init__(self, seed_state=None, seed_sequence=None):
if all(type(x) == int for x in (seed_state, seed_sequence)):
self.seed(seed_state, seed_sequence)
else:
self.state = self.inc = 0
def seed(self, seed_state, seed_sequence):
self.state = 0
self.inc = ((seed_sequence << 1) | 1) & mask64
self.next_int()
self.state = (self.state + seed_state)
self.next_int()
def next_int(self):
"return random 32 bit unsigned int"
old = self.state
self.state = ((old * CONST) + self.inc) & mask64
xorshifted = (((old >> 18) ^ old) >> 27) & mask32
rot = (old >> 59) & mask32
answer = (xorshifted >> rot) | (xorshifted << ((-rot) & 31))
answer = answer &mask32
return answer
def next_float(self):
"return random float between 0 and 1"
return self.next_int() / (1 << 32)
if __name__ == '__main__':
random_gen = PCG32()
random_gen.seed(42, 54)
for i in range(5):
print(random_gen.next_int())
random_gen.seed(987654321, 1)
hist = {i:0 for i in range(5)}
for i in range(100_000):
hist[int(random_gen.next_float() *5)] += 1
print(hist)
| Python | {
"resource": ""
} |
q137 | Sierpinski pentagon | test | from turtle import *
import math
speed(0)
hideturtle()
part_ratio = 2 * math.cos(math.radians(72))
side_ratio = 1 / (part_ratio + 2)
hide_turtles = True
path_color = "black"
fill_color = "black"
def pentagon(t, s):
t.color(path_color, fill_color)
t.pendown()
t.right(36)
t.begin_fill()
for i in range(5):
t.forward(s)
t.right(72)
t.end_fill()
def sierpinski(i, t, s):
t.setheading(0)
new_size = s * side_ratio
if i > 1:
i -= 1
for j in range(4):
t.right(36)
short = s * side_ratio / part_ratio
dist = [short, s, s, short][j]
spawn = Turtle()
if hide_turtles:spawn.hideturtle()
spawn.penup()
spawn.setposition(t.position())
spawn.setheading(t.heading())
spawn.forward(dist)
sierpinski(i, spawn, new_size)
sierpinski(i, t, new_size)
else:
pentagon(t, s)
del t
def main():
t = Turtle()
t.hideturtle()
t.penup()
screen = t.getscreen()
y = screen.window_height()
t.goto(0, y/2-20)
i = 5
size = 300
size *= part_ratio
sierpinski(i, t, size)
main()
| Python | {
"resource": ""
} |
q138 | Rep-string | test | def is_repeated(text):
'check if the first part of the string is repeated throughout the string'
for x in range(len(text)//2, 0, -1):
if text.startswith(text[x:]): return x
return 0
matchstr =
for line in matchstr.split():
ln = is_repeated(line)
print('%r has a repetition length of %i i.e. %s'
% (line, ln, repr(line[:ln]) if ln else '*not* a rep-string'))
| Python | {
"resource": ""
} |
q139 | Changeable words | test | from collections import defaultdict, Counter
def getwords(minlength=11, fname='unixdict.txt'):
"Return set of lowercased words of > given number of characters"
with open(fname) as f:
words = f.read().strip().lower().split()
return {w for w in words if len(w) > minlength}
words11 = getwords()
word_minus_1 = defaultdict(list)
minus_1_to_word = defaultdict(list)
for w in words11:
for i in range(len(w)):
minus_1 = w[:i] + w[i+1:]
word_minus_1[minus_1].append((w, i))
if minus_1 in words11:
minus_1_to_word[minus_1].append(w)
cwords = set()
for _, v in word_minus_1.items():
if len(v) >1:
change_indices = Counter(i for wrd, i in v)
change_words = set(wrd for wrd, i in v)
words_changed = None
if len(change_words) > 1 and change_indices.most_common(1)[0][1] > 1:
words_changed = [wrd for wrd, i in v
if change_indices[i] > 1]
if words_changed:
cwords.add(tuple(sorted(words_changed)))
print(f"{len(minus_1_to_word)} words that are from deleting a char from other words:")
for k, v in sorted(minus_1_to_word.items()):
print(f" {k:12} From {', '.join(v)}")
print(f"\n{len(cwords)} words that are from changing a char from other words:")
for v in sorted(cwords):
print(f" {v[0]:12} From {', '.join(v[1:])}")
| Python | {
"resource": ""
} |
q140 | Monads_List monad | test |
from __future__ import annotations
from itertools import chain
from typing import Any
from typing import Callable
from typing import Iterable
from typing import List
from typing import TypeVar
T = TypeVar("T")
class MList(List[T]):
@classmethod
def unit(cls, value: Iterable[T]) -> MList[T]:
return cls(value)
def bind(self, func: Callable[[T], MList[Any]]) -> MList[Any]:
return MList(chain.from_iterable(map(func, self)))
def __rshift__(self, func: Callable[[T], MList[Any]]) -> MList[Any]:
return self.bind(func)
if __name__ == "__main__":
print(
MList([1, 99, 4])
.bind(lambda val: MList([val + 1]))
.bind(lambda val: MList([f"${val}.00"]))
)
print(
MList([1, 99, 4])
>> (lambda val: MList([val + 1]))
>> (lambda val: MList([f"${val}.00"]))
)
print(
MList(range(1, 6)).bind(
lambda x: MList(range(6, 11)).bind(lambda y: MList([(x, y)]))
)
)
print(
MList(range(1, 26)).bind(
lambda x: MList(range(x + 1, 26)).bind(
lambda y: MList(range(y + 1, 26)).bind(
lambda z: MList([(x, y, z)])
if x * x + y * y == z * z
else MList([])
)
)
)
)
| Python | {
"resource": ""
} |
q141 | Special factorials | test |
from math import prod
def superFactorial(n):
return prod([prod(range(1,i+1)) for i in range(1,n+1)])
def hyperFactorial(n):
return prod([i**i for i in range(1,n+1)])
def alternatingFactorial(n):
return sum([(-1)**(n-i)*prod(range(1,i+1)) for i in range(1,n+1)])
def exponentialFactorial(n):
if n in [0,1]:
return 1
else:
return n**exponentialFactorial(n-1)
def inverseFactorial(n):
i = 1
while True:
if n == prod(range(1,i)):
return i-1
elif n < prod(range(1,i)):
return "undefined"
i+=1
print("Superfactorials for [0,9] :")
print({"sf(" + str(i) + ") " : superFactorial(i) for i in range(0,10)})
print("\nHyperfactorials for [0,9] :")
print({"H(" + str(i) + ") " : hyperFactorial(i) for i in range(0,10)})
print("\nAlternating factorials for [0,9] :")
print({"af(" + str(i) + ") " : alternatingFactorial(i) for i in range(0,10)})
print("\nExponential factorials for [0,4] :")
print({str(i) + "$ " : exponentialFactorial(i) for i in range(0,5)})
print("\nDigits in 5$ : " , len(str(exponentialFactorial(5))))
factorialSet = [1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800]
print("\nInverse factorials for " , factorialSet)
print({"rf(" + str(i) + ") ":inverseFactorial(i) for i in factorialSet})
print("\nrf(119) : " + inverseFactorial(119))
| Python | {
"resource": ""
} |
q142 | Four is magic | test | import random
from collections import OrderedDict
numbers = {
1: 'one',
2: 'two',
3: 'three',
4: 'four',
5: 'five',
6: 'six',
7: 'seven',
8: 'eight',
9: 'nine',
10: 'ten',
11: 'eleven',
12: 'twelve',
13: 'thirteen',
14: 'fourteen',
15: 'fifteen',
16: 'sixteen',
17: 'seventeen',
18: 'eighteen',
19: 'nineteen',
20: 'twenty',
30: 'thirty',
40: 'forty',
50: 'fifty',
60: 'sixty',
70: 'seventy',
80: 'eighty',
90: 'ninety',
100: 'hundred',
1000: 'thousand',
10 ** 6: 'million',
10 ** 9: 'billion',
10 ** 12: 'trillion',
10 ** 15: 'quadrillion',
10 ** 18: 'quintillion',
10 ** 21: 'sextillion',
10 ** 24: 'septillion',
10 ** 27: 'octillion',
10 ** 30: 'nonillion',
10 ** 33: 'decillion',
10 ** 36: 'undecillion',
10 ** 39: 'duodecillion',
10 ** 42: 'tredecillion',
10 ** 45: 'quattuordecillion',
10 ** 48: 'quinquadecillion',
10 ** 51: 'sedecillion',
10 ** 54: 'septendecillion',
10 ** 57: 'octodecillion',
10 ** 60: 'novendecillion',
10 ** 63: 'vigintillion',
10 ** 66: 'unvigintillion',
10 ** 69: 'duovigintillion',
10 ** 72: 'tresvigintillion',
10 ** 75: 'quattuorvigintillion',
10 ** 78: 'quinquavigintillion',
10 ** 81: 'sesvigintillion',
10 ** 84: 'septemvigintillion',
10 ** 87: 'octovigintillion',
10 ** 90: 'novemvigintillion',
10 ** 93: 'trigintillion',
10 ** 96: 'untrigintillion',
10 ** 99: 'duotrigintillion',
10 ** 102: 'trestrigintillion',
10 ** 105: 'quattuortrigintillion',
10 ** 108: 'quinquatrigintillion',
10 ** 111: 'sestrigintillion',
10 ** 114: 'septentrigintillion',
10 ** 117: 'octotrigintillion',
10 ** 120: 'noventrigintillion',
10 ** 123: 'quadragintillion',
10 ** 153: 'quinquagintillion',
10 ** 183: 'sexagintillion',
10 ** 213: 'septuagintillion',
10 ** 243: 'octogintillion',
10 ** 273: 'nonagintillion',
10 ** 303: 'centillion',
10 ** 306: 'uncentillion',
10 ** 309: 'duocentillion',
10 ** 312: 'trescentillion',
10 ** 333: 'decicentillion',
10 ** 336: 'undecicentillion',
10 ** 363: 'viginticentillion',
10 ** 366: 'unviginticentillion',
10 ** 393: 'trigintacentillion',
10 ** 423: 'quadragintacentillion',
10 ** 453: 'quinquagintacentillion',
10 ** 483: 'sexagintacentillion',
10 ** 513: 'septuagintacentillion',
10 ** 543: 'octogintacentillion',
10 ** 573: 'nonagintacentillion',
10 ** 603: 'ducentillion',
10 ** 903: 'trecentillion',
10 ** 1203: 'quadringentillion',
10 ** 1503: 'quingentillion',
10 ** 1803: 'sescentillion',
10 ** 2103: 'septingentillion',
10 ** 2403: 'octingentillion',
10 ** 2703: 'nongentillion',
10 ** 3003: 'millinillion'
}
numbers = OrderedDict(sorted(numbers.items(), key=lambda t: t[0], reverse=True))
def string_representation(i: int) -> str:
if i == 0:
return 'zero'
words = ['negative'] if i < 0 else []
working_copy = abs(i)
for key, value in numbers.items():
if key <= working_copy:
times = int(working_copy / key)
if key >= 100:
words.append(string_representation(times))
words.append(value)
working_copy -= times * key
if working_copy == 0:
break
return ' '.join(words)
def next_phrase(i: int):
while not i == 4:
str_i = string_representation(i)
len_i = len(str_i)
yield str_i, 'is', string_representation(len_i)
i = len_i
yield string_representation(i), 'is', 'magic'
def magic(i: int) -> str:
phrases = []
for phrase in next_phrase(i):
phrases.append(' '.join(phrase))
return f'{", ".join(phrases)}.'.capitalize()
if __name__ == '__main__':
for j in (random.randint(0, 10 ** 3) for i in range(5)):
print(j, ':\n', magic(j), '\n')
for j in (random.randint(-10 ** 24, 10 ** 24) for i in range(2)):
print(j, ':\n', magic(j), '\n')
| Python | {
"resource": ""
} |
q143 | Getting the number of decimals | test | In [6]: def dec(n):
...: return len(n.rsplit('.')[-1]) if '.' in n else 0
In [7]: dec('12.345')
Out[7]: 3
In [8]: dec('12.3450')
Out[8]: 4
In [9]:
| Python | {
"resource": ""
} |
q144 | Parse an IP Address | test | from ipaddress import ip_address
from urllib.parse import urlparse
tests = [
"127.0.0.1",
"127.0.0.1:80",
"::1",
"[::1]:80",
"::192.168.0.1",
"2605:2700:0:3::4713:93e3",
"[2605:2700:0:3::4713:93e3]:80" ]
def parse_ip_port(netloc):
try:
ip = ip_address(netloc)
port = None
except ValueError:
parsed = urlparse('//{}'.format(netloc))
ip = ip_address(parsed.hostname)
port = parsed.port
return ip, port
for address in tests:
ip, port = parse_ip_port(address)
hex_ip = {4:'{:08X}', 6:'{:032X}'}[ip.version].format(int(ip))
print("{:39s} {:>32s} IPv{} port={}".format(
str(ip), hex_ip, ip.version, port ))
| Python | {
"resource": ""
} |
q145 | Textonyms | test | from collections import defaultdict
import urllib.request
CH2NUM = {ch: str(num) for num, chars in enumerate('abc def ghi jkl mno pqrs tuv wxyz'.split(), 2) for ch in chars}
URL = 'http://www.puzzlers.org/pub/wordlists/unixdict.txt'
def getwords(url):
return urllib.request.urlopen(url).read().decode("utf-8").lower().split()
def mapnum2words(words):
number2words = defaultdict(list)
reject = 0
for word in words:
try:
number2words[''.join(CH2NUM[ch] for ch in word)].append(word)
except KeyError:
reject += 1
return dict(number2words), reject
def interactiveconversions():
global inp, ch, num
while True:
inp = input("\nType a number or a word to get the translation and textonyms: ").strip().lower()
if inp:
if all(ch in '23456789' for ch in inp):
if inp in num2words:
print(" Number {0} has the following textonyms in the dictionary: {1}".format(inp, ', '.join(
num2words[inp])))
else:
print(" Number {0} has no textonyms in the dictionary.".format(inp))
elif all(ch in CH2NUM for ch in inp):
num = ''.join(CH2NUM[ch] for ch in inp)
print(" Word {0} is{1} in the dictionary and is number {2} with textonyms: {3}".format(
inp, ('' if inp in wordset else "n't"), num, ', '.join(num2words[num])))
else:
print(" I don't understand %r" % inp)
else:
print("Thank you")
break
if __name__ == '__main__':
words = getwords(URL)
print("Read %i words from %r" % (len(words), URL))
wordset = set(words)
num2words, reject = mapnum2words(words)
morethan1word = sum(1 for w in num2words if len(num2words[w]) > 1)
maxwordpernum = max(len(values) for values in num2words.values())
print(.format(len(words) - reject, URL, len(num2words), morethan1word))
print("\nThe numbers mapping to the most words map to %i words each:" % maxwordpernum)
maxwpn = sorted((key, val) for key, val in num2words.items() if len(val) == maxwordpernum)
for num, wrds in maxwpn:
print(" %s maps to: %s" % (num, ', '.join(wrds)))
interactiveconversions()
| Python | {
"resource": ""
} |
q146 | Teacup rim text | test |
from itertools import chain, groupby
from os.path import expanduser
from functools import reduce
def main():
print('\n'.join(
concatMap(circularGroup)(
anagrams(3)(
lines(readFile('~/mitWords.txt'))
)
)
))
def anagrams(n):
def go(ws):
def f(xs):
return [
[snd(x) for x in xs]
] if n <= len(xs) >= len(xs[0][0]) else []
return concatMap(f)(groupBy(fst)(sorted(
[(''.join(sorted(w)), w) for w in ws],
key=fst
)))
return go
def circularGroup(ws):
lex = set(ws)
iLast = len(ws) - 1
(i, blnCircular) = until(
lambda tpl: tpl[1] or (tpl[0] > iLast)
)(
lambda tpl: (1 + tpl[0], isCircular(lex)(ws[tpl[0]]))
)(
(0, False)
)
return [' -> '.join(allRotations(ws[i]))] if blnCircular else []
def isCircular(lexicon):
def go(w):
def f(tpl):
(i, _, x) = tpl
return (1 + i, x in lexicon, rotated(x))
iLast = len(w) - 1
return until(
lambda tpl: iLast < tpl[0] or (not tpl[1])
)(f)(
(0, True, rotated(w))
)[1]
return go
def allRotations(w):
return takeIterate(len(w) - 1)(
rotated
)(w)
def concatMap(f):
def go(xs):
return chain.from_iterable(map(f, xs))
return go
def fst(tpl):
return tpl[0]
def groupBy(f):
def go(xs):
return [
list(x[1]) for x in groupby(xs, key=f)
]
return go
def lines(s):
return s.splitlines()
def mapAccumL(f):
def go(a, x):
tpl = f(a[0], x)
return (tpl[0], a[1] + [tpl[1]])
return lambda acc: lambda xs: (
reduce(go, xs, (acc, []))
)
def readFile(fp):
with open(expanduser(fp), 'r', encoding='utf-8') as f:
return f.read()
def rotated(s):
return s[1:] + s[0]
def snd(tpl):
return tpl[1]
def takeIterate(n):
def go(f):
def g(x):
def h(a, i):
v = f(a) if i else x
return (v, v)
return mapAccumL(h)(x)(
range(0, 1 + n)
)[1]
return g
return go
def until(p):
def go(f):
def g(x):
v = x
while not p(v):
v = f(v)
return v
return g
return go
if __name__ == '__main__':
main()
| Python | {
"resource": ""
} |
q147 | Increasing gaps between consecutive Niven numbers | test |
def digit_sum(n, sum):
sum += 1
while n > 0 and n % 10 == 0:
sum -= 9
n /= 10
return sum
previous = 1
gap = 0
sum = 0
niven_index = 0
gap_index = 1
print("Gap index Gap Niven index Niven number")
niven = 1
while gap_index <= 22:
sum = digit_sum(niven, sum)
if niven % sum == 0:
if niven > previous + gap:
gap = niven - previous;
print('{0:9d} {1:4d} {2:13d} {3:11d}'.format(gap_index, gap, niven_index, previous))
gap_index += 1
previous = niven
niven_index += 1
niven += 1
| Python | {
"resource": ""
} |
q148 | Print debugging statement | test | import logging, logging.handlers
LOG_FILENAME = "logdemo.log"
FORMAT_STRING = "%(levelname)s:%(asctime)s:%(name)s:%(funcName)s:line-%(lineno)d: %(message)s"
LOGLEVEL = logging.DEBUG
def print_squares(number):
logger.info("In print_squares")
for i in range(number):
print("square of {0} is {1}".format(i , i*i))
logger.debug(f'square of {i} is {i*i}')
def print_cubes(number):
logger.info("In print_cubes")
for j in range(number):
print("cube of {0} is {1}".format(j, j*j*j))
logger.debug(f'cube of {j} is {j*j*j}')
if __name__ == "__main__":
logger = logging.getLogger("logdemo")
logger.setLevel(LOGLEVEL)
handler = logging.FileHandler(LOG_FILENAME)
handler.setFormatter(logging.Formatter(FORMAT_STRING))
logger.addHandler(handler)
print_squares(10)
print_cubes(10)
logger.info("All done")
| Python | {
"resource": ""
} |
q149 | Range extraction | test | def range_extract(lst):
'Yield 2-tuple ranges or 1-tuple single elements from list of increasing ints'
lenlst = len(lst)
i = 0
while i< lenlst:
low = lst[i]
while i <lenlst-1 and lst[i]+1 == lst[i+1]: i +=1
hi = lst[i]
if hi - low >= 2:
yield (low, hi)
elif hi - low == 1:
yield (low,)
yield (hi,)
else:
yield (low,)
i += 1
def printr(ranges):
print( ','.join( (('%i-%i' % r) if len(r) == 2 else '%i' % r)
for r in ranges ) )
if __name__ == '__main__':
for lst in [[-8, -7, -6, -3, -2, -1, 0, 1, 3, 4, 5, 7,
8, 9, 10, 11, 14, 15, 17, 18, 19, 20],
[0, 1, 2, 4, 6, 7, 8, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22,
23, 24, 25, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39]]:
printr(range_extract(lst))
| Python | {
"resource": ""
} |
q150 | Maximum triangle path sum | test | fun maxpathsum(t):
let a = val t
for i in a.length-1..-1..1, c in linearindices a[r]:
a[r, c] += max(a[r+1, c], a[r=1, c+1])
return a[1, 1]
let test = [
[55],
[94, 48],
[95, 30, 96],
[77, 71, 26, 67],
[97, 13, 76, 38, 45],
[07, 36, 79, 16, 37, 68],
[48, 07, 09, 18, 70, 26, 06],
[18, 72, 79, 46, 59, 79, 29, 90],
[20, 76, 87, 11, 32, 07, 07, 49, 18],
[27, 83, 58, 35, 71, 11, 25, 57, 29, 85],
[14, 64, 36, 96, 27, 11, 58, 56, 92, 18, 55],
[02, 90, 03, 60, 48, 49, 41, 46, 33, 36, 47, 23],
[92, 50, 48, 02, 36, 59, 42, 79, 72, 20, 82, 77, 42],
[56, 78, 38, 80, 39, 75, 02, 71, 66, 66, 01, 03, 55, 72],
[44, 25, 67, 84, 71, 67, 11, 61, 40, 57, 58, 89, 40, 56, 36],
[85, 32, 25, 85, 57, 48, 84, 35, 47, 62, 17, 01, 01, 99, 89, 52],
[06, 71, 28, 75, 94, 48, 37, 10, 23, 51, 06, 48, 53, 18, 74, 98, 15],
[27, 02, 92, 23, 08, 71, 76, 84, 15, 52, 92, 63, 81, 10, 44, 10, 69, 93]
]
@print maxpathsum test
| Python | {
"resource": ""
} |
q151 | Variable declaration reset | test | s = [1, 2, 2, 3, 4, 4, 5]
for i in range(len(s)):
curr = s[i]
if i > 0 and curr == prev:
print(i)
prev = curr
| Python | {
"resource": ""
} |
q152 | Numbers with equal rises and falls | test | import itertools
def riseEqFall(num):
height = 0
d1 = num % 10
num //= 10
while num:
d2 = num % 10
height += (d1<d2) - (d1>d2)
d1 = d2
num //= 10
return height == 0
def sequence(start, fn):
num=start-1
while True:
num += 1
while not fn(num): num += 1
yield num
a296712 = sequence(1, riseEqFall)
print("The first 200 numbers are:")
print(*itertools.islice(a296712, 200))
print("The 10,000,000th number is:")
print(*itertools.islice(a296712, 10000000-200-1, 10000000-200))
| Python | {
"resource": ""
} |
q153 | Koch curve | test | l = 300
def setup():
size(400, 400)
background(0, 0, 255)
stroke(255)
translate(width / 2.0, height / 2.0)
translate(-l / 2.0, l * sqrt(3) / 6.0)
for i in range(4):
kcurve(0, l)
rotate(radians(120))
translate(-l, 0)
def kcurve(x1, x2):
s = (x2 - x1) / 3.0
if s < 5:
pushMatrix()
translate(x1, 0)
line(0, 0, s, 0)
line(2 * s, 0, 3 * s, 0)
translate(s, 0)
rotate(radians(60))
line(0, 0, s, 0)
translate(s, 0)
rotate(radians(-120))
line(0, 0, s, 0)
popMatrix()
return
pushMatrix()
translate(x1, 0)
kcurve(0, s)
kcurve(2 * s, 3 * s)
translate(s, 0)
rotate(radians(60))
kcurve(0, s)
translate(s, 0)
rotate(radians(-120))
kcurve(0, s)
popMatrix()
| Python | {
"resource": ""
} |
q154 | Words from neighbour ones | test |
import urllib.request
from collections import Counter
urllib.request.urlretrieve("http://wiki.puzzlers.org/pub/wordlists/unixdict.txt", "unixdict.txt")
dictionary = open("unixdict.txt","r")
wordList = dictionary.read().split('\n')
dictionary.close()
filteredWords = [chosenWord for chosenWord in wordList if len(chosenWord)>=9]
for word in filteredWords[:-9]:
position = filteredWords.index(word)
newWord = "".join([filteredWords[position+i][i] for i in range(0,9)])
if newWord in filteredWords:
print(newWord)
| Python | {
"resource": ""
} |
q155 | Magic squares of singly even order | test | import math
from sys import stdout
LOG_10 = 2.302585092994
def build_oms(s):
if s % 2 == 0:
s += 1
q = [[0 for j in range(s)] for i in range(s)]
p = 1
i = s // 2
j = 0
while p <= (s * s):
q[i][j] = p
ti = i + 1
if ti >= s: ti = 0
tj = j - 1
if tj < 0: tj = s - 1
if q[ti][tj] != 0:
ti = i
tj = j + 1
i = ti
j = tj
p = p + 1
return q, s
def build_sems(s):
if s % 2 == 1:
s += 1
while s % 4 == 0:
s += 2
q = [[0 for j in range(s)] for i in range(s)]
z = s // 2
b = z * z
c = 2 * b
d = 3 * b
o = build_oms(z)
for j in range(0, z):
for i in range(0, z):
a = o[0][i][j]
q[i][j] = a
q[i + z][j + z] = a + b
q[i + z][j] = a + c
q[i][j + z] = a + d
lc = z // 2
rc = lc
for j in range(0, z):
for i in range(0, s):
if i < lc or i > s - rc or (i == lc and j == lc):
if not (i == 0 and j == lc):
t = q[i][j]
q[i][j] = q[i][j + z]
q[i][j + z] = t
return q, s
def format_sqr(s, l):
for i in range(0, l - len(s)):
s = "0" + s
return s + " "
def display(q):
s = q[1]
print(" - {0} x {1}\n".format(s, s))
k = 1 + math.floor(math.log(s * s) / LOG_10)
for j in range(0, s):
for i in range(0, s):
stdout.write(format_sqr("{0}".format(q[0][i][j]), k))
print()
print("Magic sum: {0}\n".format(s * ((s * s) + 1) // 2))
stdout.write("Singly Even Magic Square")
display(build_sems(6))
| Python | {
"resource": ""
} |
q156 | Generate Chess960 starting position | test | >>> from itertools import permutations
>>> pieces = 'KQRrBbNN'
>>> starts = {''.join(p).upper() for p in permutations(pieces)
if p.index('B') % 2 != p.index('b') % 2
and ( p.index('r') < p.index('K') < p.index('R')
or p.index('R') < p.index('K') < p.index('r') ) }
>>> len(starts)
960
>>> starts.pop()
'QNBRNKRB'
>>>
| Python | {
"resource": ""
} |
q157 | File size distribution | test | import sys, os
from collections import Counter
def dodir(path):
global h
for name in os.listdir(path):
p = os.path.join(path, name)
if os.path.islink(p):
pass
elif os.path.isfile(p):
h[os.stat(p).st_size] += 1
elif os.path.isdir(p):
dodir(p)
else:
pass
def main(arg):
global h
h = Counter()
for dir in arg:
dodir(dir)
s = n = 0
for k, v in sorted(h.items()):
print("Size %d -> %d file(s)" % (k, v))
n += v
s += k * v
print("Total %d bytes for %d files" % (s, n))
main(sys.argv[1:])
| Python | {
"resource": ""
} |
q158 | Unix_ls | test | >>> import os
>>> print('\n'.join(sorted(os.listdir('.'))))
DLLs
Doc
LICENSE.txt
Lib
NEWS.txt
README.txt
Scripts
Tools
include
libs
python.exe
pythonw.exe
tcl
>>>
| Python | {
"resource": ""
} |
q159 | Magic squares of doubly even order | test | def MagicSquareDoublyEven(order):
sq = [range(1+n*order,order + (n*order)+1) for n in range(order) ]
n1 = order/4
for r in range(n1):
r1 = sq[r][n1:-n1]
r2 = sq[order -r - 1][n1:-n1]
r1.reverse()
r2.reverse()
sq[r][n1:-n1] = r2
sq[order -r - 1][n1:-n1] = r1
for r in range(n1, order-n1):
r1 = sq[r][:n1]
r2 = sq[order -r - 1][order-n1:]
r1.reverse()
r2.reverse()
sq[r][:n1] = r2
sq[order -r - 1][order-n1:] = r1
return sq
def printsq(s):
n = len(s)
bl = len(str(n**2))+1
for i in range(n):
print ''.join( [ ("%"+str(bl)+"s")%(str(x)) for x in s[i]] )
print "\nMagic constant = %d"%sum(s[0])
printsq(MagicSquareDoublyEven(8))
| Python | {
"resource": ""
} |
q160 | Pseudo-random numbers_Xorshift star | test | mask64 = (1 << 64) - 1
mask32 = (1 << 32) - 1
const = 0x2545F4914F6CDD1D
class Xorshift_star():
def __init__(self, seed=0):
self.state = seed & mask64
def seed(self, num):
self.state = num & mask64
def next_int(self):
"return random int between 0 and 2**32"
x = self.state
x = (x ^ (x >> 12)) & mask64
x = (x ^ (x << 25)) & mask64
x = (x ^ (x >> 27)) & mask64
self.state = x
answer = (((x * const) & mask64) >> 32) & mask32
return answer
def next_float(self):
"return random float between 0 and 1"
return self.next_int() / (1 << 32)
if __name__ == '__main__':
random_gen = Xorshift_star()
random_gen.seed(1234567)
for i in range(5):
print(random_gen.next_int())
random_gen.seed(987654321)
hist = {i:0 for i in range(5)}
for i in range(100_000):
hist[int(random_gen.next_float() *5)] += 1
print(hist)
| Python | {
"resource": ""
} |
q161 | ASCII art diagram converter | test |
def validate(diagram):
rawlines = diagram.splitlines()
lines = []
for line in rawlines:
if line != '':
lines.append(line)
if len(lines) == 0:
print('diagram has no non-empty lines!')
return None
width = len(lines[0])
cols = (width - 1) // 3
if cols not in [8, 16, 32, 64]:
print('number of columns should be 8, 16, 32 or 64')
return None
if len(lines)%2 == 0:
print('number of non-empty lines should be odd')
return None
if lines[0] != (('+--' * cols)+'+'):
print('incorrect header line')
return None
for i in range(len(lines)):
line=lines[i]
if i == 0:
continue
elif i%2 == 0:
if line != lines[0]:
print('incorrect separator line')
return None
elif len(line) != width:
print('inconsistent line widths')
return None
elif line[0] != '|' or line[width-1] != '|':
print("non-separator lines must begin and end with '|'")
return None
return lines
def decode(lines):
print("Name Bits Start End")
print("======= ==== ===== ===")
startbit = 0
results = []
for line in lines:
infield=False
for c in line:
if not infield and c == '|':
infield = True
spaces = 0
name = ''
elif infield:
if c == ' ':
spaces += 1
elif c != '|':
name += c
else:
bits = (spaces + len(name) + 1) // 3
endbit = startbit + bits - 1
print('{0:7} {1:2d} {2:2d} {3:2d}'.format(name, bits, startbit, endbit))
reslist = [name, bits, startbit, endbit]
results.append(reslist)
spaces = 0
name = ''
startbit += bits
return results
def unpack(results, hex):
print("\nTest string in hex:")
print(hex)
print("\nTest string in binary:")
bin = f'{int(hex, 16):0>{4*len(hex)}b}'
print(bin)
print("\nUnpacked:\n")
print("Name Size Bit pattern")
print("======= ==== ================")
for r in results:
name = r[0]
size = r[1]
startbit = r[2]
endbit = r[3]
bitpattern = bin[startbit:endbit+1]
print('{0:7} {1:2d} {2:16}'.format(name, size, bitpattern))
diagram =
lines = validate(diagram)
if lines == None:
print("No lines returned")
else:
print(" ")
print("Diagram after trimming whitespace and removal of blank lines:")
print(" ")
for line in lines:
print(line)
print(" ")
print("Decoded:")
print(" ")
results = decode(lines)
hex = "78477bbf5496e12e1bf169a4"
unpack(results, hex)
| Python | {
"resource": ""
} |
q162 | Same fringe | test | try:
from itertools import zip_longest as izip_longest
except:
from itertools import izip_longest
def fringe(tree):
for node1 in tree:
if isinstance(node1, tuple):
for node2 in fringe(node1):
yield node2
else:
yield node1
def same_fringe(tree1, tree2):
return all(node1 == node2 for node1, node2 in
izip_longest(fringe(tree1), fringe(tree2)))
if __name__ == '__main__':
a = 1, 2, 3, 4, 5, 6, 7, 8
b = 1, (( 2, 3 ), (4, (5, ((6, 7), 8))))
c = (((1, 2), 3), 4), 5, 6, 7, 8
x = 1, 2, 3, 4, 5, 6, 7, 8, 9
y = 0, 2, 3, 4, 5, 6, 7, 8
z = 1, 2, (4, 3), 5, 6, 7, 8
assert same_fringe(a, a)
assert same_fringe(a, b)
assert same_fringe(a, c)
assert not same_fringe(a, x)
assert not same_fringe(a, y)
assert not same_fringe(a, z)
| Python | {
"resource": ""
} |
q163 | Peaceful chess queen armies | test | from itertools import combinations, product, count
from functools import lru_cache, reduce
_bbullet, _wbullet = '\u2022\u25E6'
_or = set.__or__
def place(m, n):
"Place m black and white queens, peacefully, on an n-by-n board"
board = set(product(range(n), repeat=2))
placements = {frozenset(c) for c in combinations(board, m)}
for blacks in placements:
black_attacks = reduce(_or,
(queen_attacks_from(pos, n) for pos in blacks),
set())
for whites in {frozenset(c)
for c in combinations(board - black_attacks, m)}:
if not black_attacks & whites:
return blacks, whites
return set(), set()
@lru_cache(maxsize=None)
def queen_attacks_from(pos, n):
x0, y0 = pos
a = set([pos])
a.update((x, y0) for x in range(n))
a.update((x0, y) for y in range(n))
for x1 in range(n):
y1 = y0 -x0 +x1
if 0 <= y1 < n:
a.add((x1, y1))
y1 = y0 +x0 -x1
if 0 <= y1 < n:
a.add((x1, y1))
return a
def pboard(black_white, n):
"Print board"
if black_white is None:
blk, wht = set(), set()
else:
blk, wht = black_white
print(f"
f"on a {n}-by-{n} board:", end='')
for x, y in product(range(n), repeat=2):
if y == 0:
print()
xy = (x, y)
ch = ('?' if xy in blk and xy in wht
else 'B' if xy in blk
else 'W' if xy in wht
else _bbullet if (x + y)%2 else _wbullet)
print('%s' % ch, end='')
print()
if __name__ == '__main__':
n=2
for n in range(2, 7):
print()
for m in count(1):
ans = place(m, n)
if ans[0]:
pboard(ans, n)
else:
print (f"
break
print('\n')
m, n = 5, 7
ans = place(m, n)
pboard(ans, n)
| Python | {
"resource": ""
} |
q164 | Numbers with same digit set in base 10 and base 16 | test | col = 0
for i in range(100000):
if set(str(i)) == set(hex(i)[2:]):
col += 1
print("{:7}".format(i), end='\n'[:col % 10 == 0])
print()
| Python | {
"resource": ""
} |
q165 | Largest proper divisor of n | test | def lpd(n):
for i in range(n-1,0,-1):
if n%i==0: return i
return 1
for i in range(1,101):
print("{:3}".format(lpd(i)), end=i%10==0 and '\n' or '')
| Python | {
"resource": ""
} |
q166 | Move-to-front algorithm | test | from __future__ import print_function
from string import ascii_lowercase
SYMBOLTABLE = list(ascii_lowercase)
def move2front_encode(strng, symboltable):
sequence, pad = [], symboltable[::]
for char in strng:
indx = pad.index(char)
sequence.append(indx)
pad = [pad.pop(indx)] + pad
return sequence
def move2front_decode(sequence, symboltable):
chars, pad = [], symboltable[::]
for indx in sequence:
char = pad[indx]
chars.append(char)
pad = [pad.pop(indx)] + pad
return ''.join(chars)
if __name__ == '__main__':
for s in ['broood', 'bananaaa', 'hiphophiphop']:
encode = move2front_encode(s, SYMBOLTABLE)
print('%14r encodes to %r' % (s, encode), end=', ')
decode = move2front_decode(encode, SYMBOLTABLE)
print('which decodes back to %r' % decode)
assert s == decode, 'Whoops!'
| Python | {
"resource": ""
} |
q167 | Sum of first n cubes | test | def main():
fila = 0
lenCubos = 51
print("Suma de N cubos para n = [0..49]\n")
for n in range(1, lenCubos):
sumCubos = 0
for m in range(1, n):
sumCubos = sumCubos + (m ** 3)
fila += 1
print(f'{sumCubos:7} ', end='')
if fila % 5 == 0:
print(" ")
print(f"\nEncontrados {fila} cubos.")
if __name__ == '__main__': main()
| Python | {
"resource": ""
} |
q168 | Test integerness | test | >>> def isint(f):
return complex(f).imag == 0 and complex(f).real.is_integer()
>>> [isint(f) for f in (1.0, 2, (3.0+0.0j), 4.1, (3+4j), (5.6+0j))]
[True, True, True, False, False, False]
>>>
...
>>> isint(25.000000)
True
>>> isint(24.999999)
False
>>> isint(25.000100)
False
>>> isint(-2.1e120)
True
>>> isint(-5e-2)
False
>>> isint(float('nan'))
False
>>> isint(float('inf'))
False
>>> isint(5.0+0.0j)
True
>>> isint(5-5j)
False
| Python | {
"resource": ""
} |
q169 | Longest increasing subsequence | test | def longest_increasing_subsequence(X):
N = len(X)
P = [0] * N
M = [0] * (N+1)
L = 0
for i in range(N):
lo = 1
hi = L
while lo <= hi:
mid = (lo+hi)//2
if (X[M[mid]] < X[i]):
lo = mid+1
else:
hi = mid-1
newL = lo
P[i] = M[newL-1]
M[newL] = i
if (newL > L):
L = newL
S = []
k = M[L]
for i in range(L-1, -1, -1):
S.append(X[k])
k = P[k]
return S[::-1]
if __name__ == '__main__':
for d in [[3,2,6,4,5,1], [0, 8, 4, 12, 2, 10, 6, 14, 1, 9, 5, 13, 3, 11, 7, 15]]:
print('a L.I.S. of %s is %s' % (d, longest_increasing_subsequence(d)))
| Python | {
"resource": ""
} |
q170 | Superpermutation minimisation | test | "Generate a short Superpermutation of n characters A... as a string using various algorithms."
from __future__ import print_function, division
from itertools import permutations
from math import factorial
import string
import datetime
import gc
MAXN = 7
def s_perm0(n):
allchars = string.ascii_uppercase[:n]
allperms = [''.join(p) for p in permutations(allchars)]
sp, tofind = allperms[0], set(allperms[1:])
while tofind:
for skip in range(1, n):
for trial_add in (''.join(p) for p in permutations(sp[-n:][:skip])):
trial_perm = (sp + trial_add)[-n:]
if trial_perm in tofind:
sp += trial_add
tofind.discard(trial_perm)
trial_add = None
break
if trial_add is None:
break
assert all(perm in sp for perm in allperms)
return sp
def s_perm1(n):
allchars = string.ascii_uppercase[:n]
allperms = [''.join(p) for p in sorted(permutations(allchars))]
perms, sp = allperms[::], ''
while perms:
nxt = perms.pop()
if nxt not in sp:
sp += nxt
assert all(perm in sp for perm in allperms)
return sp
def s_perm2(n):
allchars = string.ascii_uppercase[:n]
allperms = [''.join(p) for p in sorted(permutations(allchars))]
perms, sp = allperms[::], ''
while perms:
nxt = perms.pop(0)
if nxt not in sp:
sp += nxt
if perms:
nxt = perms.pop(-1)
if nxt not in sp:
sp += nxt
assert all(perm in sp for perm in allperms)
return sp
def _s_perm3(n, cmp):
allchars = string.ascii_uppercase[:n]
allperms = [''.join(p) for p in sorted(permutations(allchars))]
perms, sp = allperms[::], ''
while perms:
lastn = sp[-n:]
nxt = cmp(perms,
key=lambda pm:
sum((ch1 == ch2) for ch1, ch2 in zip(pm, lastn)))
perms.remove(nxt)
if nxt not in sp:
sp += nxt
assert all(perm in sp for perm in allperms)
return sp
def s_perm3_max(n):
return _s_perm3(n, max)
def s_perm3_min(n):
return _s_perm3(n, min)
longest = [factorial(n) * n for n in range(MAXN + 1)]
weight, runtime = {}, {}
print(__doc__)
for algo in [s_perm0, s_perm1, s_perm2, s_perm3_max, s_perm3_min]:
print('\n
print(algo.__doc__)
weight[algo.__name__], runtime[algo.__name__] = 1, datetime.timedelta(0)
for n in range(1, MAXN + 1):
gc.collect()
gc.disable()
t = datetime.datetime.now()
sp = algo(n)
t = datetime.datetime.now() - t
gc.enable()
runtime[algo.__name__] += t
lensp = len(sp)
wt = (lensp / longest[n]) ** 2
print(' For N=%i: SP length %5i Max: %5i Weight: %5.2f'
% (n, lensp, longest[n], wt))
weight[algo.__name__] *= wt
weight[algo.__name__] **= 1 / n
weight[algo.__name__] = 1 / weight[algo.__name__]
print('%*s Overall Weight: %5.2f in %.1f seconds.'
% (29, '', weight[algo.__name__], runtime[algo.__name__].total_seconds()))
print('\n
print('\n'.join('%12s (%.3f)' % kv for kv in
sorted(weight.items(), key=lambda keyvalue: -keyvalue[1])))
print('\n
print('\n'.join('%12s (%.3f)' % (k, v.total_seconds()) for k, v in
sorted(runtime.items(), key=lambda keyvalue: keyvalue[1])))
| Python | {
"resource": ""
} |
q171 | One of n lines in a file | test | from random import randrange
try:
range = xrange
except: pass
def one_of_n(lines):
choice = None
for i, line in enumerate(lines):
if randrange(i+1) == 0:
choice = line
return choice
def one_of_n_test(n=10, trials=1000000):
bins = [0] * n
if n:
for i in range(trials):
bins[one_of_n(range(n))] += 1
return bins
print(one_of_n_test())
| Python | {
"resource": ""
} |
q172 | Summarize and say sequence | test | from itertools import groupby, permutations
def A036058(number):
return ''.join( str(len(list(g))) + k
for k,g in groupby(sorted(str(number), reverse=True)) )
def A036058_length(numberstring='0', printit=False):
iterations, last_three, queue_index = 1, ([None] * 3), 0
def A036058(number):
return ''.join( str(len(list(g))) + k
for k,g in groupby(number) )
while True:
if printit:
print(" %2i %s" % (iterations, numberstring))
numberstring = ''.join(sorted(numberstring, reverse=True))
if numberstring in last_three:
break
assert iterations < 1000000
last_three[queue_index], numberstring = numberstring, A036058(numberstring)
iterations += 1
queue_index +=1
queue_index %=3
return iterations
def max_A036058_length( start_range=range(11) ):
already_done = set()
max_len = (-1, [])
for n in start_range:
sn = str(n)
sns = tuple(sorted(sn, reverse=True))
if sns not in already_done:
already_done.add(sns)
size = A036058_length(sns)
if size > max_len[0]:
max_len = (size, [n])
elif size == max_len[0]:
max_len[1].append(n)
return max_len
lenmax, starts = max_A036058_length( range(1000000) )
allstarts = []
for n in starts:
allstarts += [int(''.join(x))
for x in set(k
for k in permutations(str(n), 4)
if k[0] != '0')]
allstarts = [x for x in sorted(allstarts) if x < 1000000]
print ( % (lenmax, allstarts) )
print ( )
for n in starts:
print()
A036058_length(str(n), printit=True)
| Python | {
"resource": ""
} |
q173 | Spelling of ordinal numbers | test | irregularOrdinals = {
"one": "first",
"two": "second",
"three": "third",
"five": "fifth",
"eight": "eighth",
"nine": "ninth",
"twelve": "twelfth",
}
def num2ordinal(n):
conversion = int(float(n))
num = spell_integer(conversion)
hyphen = num.rsplit("-", 1)
num = num.rsplit(" ", 1)
delim = " "
if len(num[-1]) > len(hyphen[-1]):
num = hyphen
delim = "-"
if num[-1] in irregularOrdinals:
num[-1] = delim + irregularOrdinals[num[-1]]
elif num[-1].endswith("y"):
num[-1] = delim + num[-1][:-1] + "ieth"
else:
num[-1] = delim + num[-1] + "th"
return "".join(num)
if __name__ == "__main__":
tests = "1 2 3 4 5 11 65 100 101 272 23456 8007006005004003 123 00123.0 1.23e2".split()
for num in tests:
print("{} => {}".format(num, num2ordinal(num)))
TENS = [None, None, "twenty", "thirty", "forty",
"fifty", "sixty", "seventy", "eighty", "ninety"]
SMALL = ["zero", "one", "two", "three", "four", "five",
"six", "seven", "eight", "nine", "ten", "eleven",
"twelve", "thirteen", "fourteen", "fifteen",
"sixteen", "seventeen", "eighteen", "nineteen"]
HUGE = [None, None] + [h + "illion"
for h in ("m", "b", "tr", "quadr", "quint", "sext",
"sept", "oct", "non", "dec")]
def nonzero(c, n, connect=''):
return "" if n == 0 else connect + c + spell_integer(n)
def last_and(num):
if ',' in num:
pre, last = num.rsplit(',', 1)
if ' and ' not in last:
last = ' and' + last
num = ''.join([pre, ',', last])
return num
def big(e, n):
if e == 0:
return spell_integer(n)
elif e == 1:
return spell_integer(n) + " thousand"
else:
return spell_integer(n) + " " + HUGE[e]
def base1000_rev(n):
while n != 0:
n, r = divmod(n, 1000)
yield r
def spell_integer(n):
if n < 0:
return "minus " + spell_integer(-n)
elif n < 20:
return SMALL[n]
elif n < 100:
a, b = divmod(n, 10)
return TENS[a] + nonzero("-", b)
elif n < 1000:
a, b = divmod(n, 100)
return SMALL[a] + " hundred" + nonzero(" ", b, ' and')
else:
num = ", ".join([big(e, x) for e, x in
enumerate(base1000_rev(n)) if x][::-1])
return last_and(num)
| Python | {
"resource": ""
} |
q174 | Self-describing numbers | test | >>> def isSelfDescribing(n):
s = str(n)
return all(s.count(str(i)) == int(ch) for i, ch in enumerate(s))
>>> [x for x in range(4000000) if isSelfDescribing(x)]
[1210, 2020, 21200, 3211000]
>>> [(x, isSelfDescribing(x)) for x in (1210, 2020, 21200, 3211000, 42101000, 521001000, 6210001000)]
[(1210, True), (2020, True), (21200, True), (3211000, True), (42101000, True), (521001000, True), (6210001000, True)]
| Python | {
"resource": ""
} |
q175 | Addition chains | test | def prepend(n, seq):
return [n] + seq
def check_seq(pos, seq, n, min_len):
if pos > min_len or seq[0] > n:
return min_len, 0
if seq[0] == n:
return pos, 1
if pos < min_len:
return try_perm(0, pos, seq, n, min_len)
return min_len, 0
def try_perm(i, pos, seq, n, min_len):
if i > pos:
return min_len, 0
res1 = check_seq(pos + 1, prepend(seq[0] + seq[i], seq), n, min_len)
res2 = try_perm(i + 1, pos, seq, n, res1[0])
if res2[0] < res1[0]:
return res2
if res2[0] == res1[0]:
return res2[0], res1[1] + res2[1]
raise Exception("try_perm exception")
def init_try_perm(x):
return try_perm(0, 0, [1], x, 12)
def find_brauer(num):
res = init_try_perm(num)
print
print "N = ", num
print "Minimum length of chains: L(n) = ", res[0]
print "Number of minimum length Brauer chains: ", res[1]
nums = [7, 14, 21, 29, 32, 42, 64, 47, 79, 191, 382, 379]
for i in nums:
find_brauer(i)
| Python | {
"resource": ""
} |
q176 | Repeat | test |
def repeat(f,n):
for i in range(n):
f();
def procedure():
print("Example");
repeat(procedure,3);
| Python | {
"resource": ""
} |
q177 | Sparkline in unicode | test |
bar = '▁▂▃▄▅▆▇█'
barcount = len(bar)
def sparkline(numbers):
mn, mx = min(numbers), max(numbers)
extent = mx - mn
sparkline = ''.join(bar[min([barcount - 1,
int((n - mn) / extent * barcount)])]
for n in numbers)
return mn, mx, sparkline
if __name__ == '__main__':
import re
for line in ("0 0 1 1; 0 1 19 20; 0 999 4000 4999 7000 7999;"
"1 2 3 4 5 6 7 8 7 6 5 4 3 2 1;"
"1.5, 0.5 3.5, 2.5 5.5, 4.5 7.5, 6.5 ").split(';'):
print("\nNumbers:", line)
numbers = [float(n) for n in re.split(r'[\s,]+', line.strip())]
mn, mx, sp = sparkline(numbers)
print(' min: %5f; max: %5f' % (mn, mx))
print(" " + sp)
| Python | {
"resource": ""
} |
q178 | Modular inverse | test | >>> def extended_gcd(aa, bb):
lastremainder, remainder = abs(aa), abs(bb)
x, lastx, y, lasty = 0, 1, 1, 0
while remainder:
lastremainder, (quotient, remainder) = remainder, divmod(lastremainder, remainder)
x, lastx = lastx - quotient*x, x
y, lasty = lasty - quotient*y, y
return lastremainder, lastx * (-1 if aa < 0 else 1), lasty * (-1 if bb < 0 else 1)
>>> def modinv(a, m):
g, x, y = extended_gcd(a, m)
if g != 1:
raise ValueError
return x % m
>>> modinv(42, 2017)
1969
>>>
| Python | {
"resource": ""
} |
q179 | Sunflower fractal | test | from turtle import *
from math import *
iter = 3000
diskRatio = .5
factor = .5 + sqrt(1.25)
screen = getscreen()
(winWidth, winHeight) = screen.screensize()
x = 0.0
y = 0.0
maxRad = pow(iter,factor)/iter;
bgcolor("light blue")
hideturtle()
tracer(0, 0)
for i in range(iter+1):
r = pow(i,factor)/iter;
if r/maxRad < diskRatio:
pencolor("black")
else:
pencolor("yellow")
theta = 2*pi*factor*i;
up()
setposition(x + r*sin(theta), y + r*cos(theta))
down()
circle(10.0 * i/(1.0*iter))
update()
done()
| Python | {
"resource": ""
} |
q180 | Vogel's approximation method | test | from collections import defaultdict
costs = {'W': {'A': 16, 'B': 16, 'C': 13, 'D': 22, 'E': 17},
'X': {'A': 14, 'B': 14, 'C': 13, 'D': 19, 'E': 15},
'Y': {'A': 19, 'B': 19, 'C': 20, 'D': 23, 'E': 50},
'Z': {'A': 50, 'B': 12, 'C': 50, 'D': 15, 'E': 11}}
demand = {'A': 30, 'B': 20, 'C': 70, 'D': 30, 'E': 60}
cols = sorted(demand.iterkeys())
supply = {'W': 50, 'X': 60, 'Y': 50, 'Z': 50}
res = dict((k, defaultdict(int)) for k in costs)
g = {}
for x in supply:
g[x] = sorted(costs[x].iterkeys(), key=lambda g: costs[x][g])
for x in demand:
g[x] = sorted(costs.iterkeys(), key=lambda g: costs[g][x])
while g:
d = {}
for x in demand:
d[x] = (costs[g[x][1]][x] - costs[g[x][0]][x]) if len(g[x]) > 1 else costs[g[x][0]][x]
s = {}
for x in supply:
s[x] = (costs[x][g[x][1]] - costs[x][g[x][0]]) if len(g[x]) > 1 else costs[x][g[x][0]]
f = max(d, key=lambda n: d[n])
t = max(s, key=lambda n: s[n])
t, f = (f, g[f][0]) if d[f] > s[t] else (g[t][0], t)
v = min(supply[f], demand[t])
res[f][t] += v
demand[t] -= v
if demand[t] == 0:
for k, n in supply.iteritems():
if n != 0:
g[k].remove(t)
del g[t]
del demand[t]
supply[f] -= v
if supply[f] == 0:
for k, n in demand.iteritems():
if n != 0:
g[k].remove(f)
del g[f]
del supply[f]
for n in cols:
print "\t", n,
print
cost = 0
for g in sorted(costs):
print g, "\t",
for n in cols:
y = res[g][n]
if y != 0:
print y,
cost += y * costs[g][n]
print "\t",
print
print "\n\nTotal Cost = ", cost
| Python | {
"resource": ""
} |
q181 | Permutations by swapping | test | from operator import itemgetter
DEBUG = False
def spermutations(n):
sign = 1
p = [[i, 0 if i == 0 else -1]
for i in range(n)]
if DEBUG: print '
yield tuple(pp[0] for pp in p), sign
while any(pp[1] for pp in p):
i1, (n1, d1) = max(((i, pp) for i, pp in enumerate(p) if pp[1]),
key=itemgetter(1))
sign *= -1
if d1 == -1:
i2 = i1 - 1
p[i1], p[i2] = p[i2], p[i1]
if i2 == 0 or p[i2 - 1][0] > n1:
p[i2][1] = 0
elif d1 == 1:
i2 = i1 + 1
p[i1], p[i2] = p[i2], p[i1]
if i2 == n - 1 or p[i2 + 1][0] > n1:
p[i2][1] = 0
if DEBUG: print '
yield tuple(pp[0] for pp in p), sign
for i3, pp in enumerate(p):
n3, d3 = pp
if n3 > n1:
pp[1] = 1 if i3 < i2 else -1
if DEBUG: print '
if __name__ == '__main__':
from itertools import permutations
for n in (3, 4):
print '\nPermutations and sign of %i items' % n
sp = set()
for i in spermutations(n):
sp.add(i[0])
print('Perm: %r Sign: %2i' % i)
p = set(permutations(range(n)))
assert sp == p, 'Two methods of generating permutations do not agree'
| Python | {
"resource": ""
} |
q182 | Minimum multiple of m where digital sum equals m | test |
from itertools import count, islice
def a131382():
return (
elemIndex(x)(
productDigitSums(x)
) for x in count(1)
)
def productDigitSums(n):
return (digitSum(n * x) for x in count(0))
def main():
print(
table(10)([
str(x) for x in islice(
a131382(),
40
)
])
)
def chunksOf(n):
def go(xs):
return (
xs[i:n + i] for i in range(0, len(xs), n)
) if 0 < n else None
return go
def digitSum(n):
return sum(int(x) for x in list(str(n)))
def elemIndex(x):
def go(xs):
try:
return next(
i for i, v in enumerate(xs) if x == v
)
except StopIteration:
return None
return go
def table(n):
def go(xs):
w = len(xs[-1])
return '\n'.join(
' '.join(row) for row in chunksOf(n)([
s.rjust(w, ' ') for s in xs
])
)
return go
if __name__ == '__main__':
main()
| Python | {
"resource": ""
} |
q183 | Pythagorean quadruples | test | def quad(top=2200):
r = [False] * top
ab = [False] * (top * 2)**2
for a in range(1, top):
for b in range(a, top):
ab[a * a + b * b] = True
s = 3
for c in range(1, top):
s1, s, s2 = s, s + 2, s + 2
for d in range(c + 1, top):
if ab[s1]:
r[d] = True
s1 += s2
s2 += 2
return [i for i, val in enumerate(r) if not val and i]
if __name__ == '__main__':
n = 2200
print(f"Those values of d in 1..{n} that can't be represented: {quad(n)}")
| Python | {
"resource": ""
} |
q184 | Steady squares | test | print("working...")
print("Steady squares under 10.000 are:")
limit = 10000
for n in range(1,limit):
nstr = str(n)
nlen = len(nstr)
square = str(pow(n,2))
rn = square[-nlen:]
if nstr == rn:
print(str(n) + " " + str(square))
print("done...")
| Python | {
"resource": ""
} |
q185 | Pseudo-random numbers_Middle-square method | test | seed = 675248
def random():
global seed
seed = int(str(seed ** 2).zfill(12)[3:9])
return seed
for _ in range(5):
print(random())
| Python | {
"resource": ""
} |
q186 | Dice game probabilities | test | from itertools import product
def gen_dict(n_faces, n_dice):
counts = [0] * ((n_faces + 1) * n_dice)
for t in product(range(1, n_faces + 1), repeat=n_dice):
counts[sum(t)] += 1
return counts, n_faces ** n_dice
def beating_probability(n_sides1, n_dice1, n_sides2, n_dice2):
c1, p1 = gen_dict(n_sides1, n_dice1)
c2, p2 = gen_dict(n_sides2, n_dice2)
p12 = float(p1 * p2)
return sum(p[1] * q[1] / p12
for p, q in product(enumerate(c1), enumerate(c2))
if p[0] > q[0])
print beating_probability(4, 9, 6, 6)
print beating_probability(10, 5, 7, 6)
| Python | {
"resource": ""
} |
q187 | Plasma effect | test |
pal = [0] * 128
r = 42
g = 84
b = 126
rd = gd = bd = False
def setup():
global buffer
size(600, 600)
frameRate(25)
buffer = [None] * width * height
for x in range(width):
for y in range(width):
value = int(((128 + (128 * sin(x / 32.0)))
+ (128 + (128 * cos(y / 32.0)))
+ (128 + (128 * sin(sqrt((x * x + y * y)) / 32.0)))) / 4)
buffer[x + y * width] = value
def draw():
global r, g, b, rd, gd, bd
if r > 128: rd = True
if not rd: r += 1
else: r-=1
if r < 0: rd = False
if g > 128: gd = True
if not gd: g += 1
else: g- = 1
if r < 0: gd = False
if b > 128: bd = True
if not bd: b += 1
else: b- = 1
if b < 0: bd = False
for i in range(128):
s_1 = sin(i * PI / 25)
s_2 = sin(i * PI / 50 + PI / 4)
pal[i] = color(r + s_1 * 128, g + s_2 * 128, b + s_1 * 128)
loadPixels()
for i, b in enumerate(buffer):
pixels[i] = pal[(b + frameCount) % 127]
updatePixels()
| Python | {
"resource": ""
} |
q191 | Literals_String | test | 'c' == "c"
'text' == "text"
' " '
" ' "
'\x20' == ' '
u'unicode string'
u'\u05d0'
| Python | {
"resource": ""
} |
q192 | Enumerations | test | >>> from enum import Enum
>>> Contact = Enum('Contact', 'FIRST_NAME, LAST_NAME, PHONE')
>>> Contact.__members__
mappingproxy(OrderedDict([('FIRST_NAME', <Contact.FIRST_NAME: 1>), ('LAST_NAME', <Contact.LAST_NAME: 2>), ('PHONE', <Contact.PHONE: 3>)]))
>>>
>>>
>>> class Contact2(Enum):
FIRST_NAME = 1
LAST_NAME = 2
PHONE = 3
>>> Contact2.__members__
mappingproxy(OrderedDict([('FIRST_NAME', <Contact2.FIRST_NAME: 1>), ('LAST_NAME', <Contact2.LAST_NAME: 2>), ('PHONE', <Contact2.PHONE: 3>)]))
>>>
| Python | {
"resource": ""
} |
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