Python/maths/prime_factors.py at master · ivan53/Python · GitHub

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"""
python/black : True
"""

from __future__ importannotations


defprime_factors(n: int) ->list[int]:
"""
 Returns prime factors of n as a list.

 >>> prime_factors(0)
 []
 >>> prime_factors(100)
 [2, 2, 5, 5]
 >>> prime_factors(2560)
 [2, 2, 2, 2, 2, 2, 2, 2, 2, 5]
 >>> prime_factors(10**-2)
 []
 >>> prime_factors(0.02)
 []
 >>> x = prime_factors(10**241) # doctest: +NORMALIZE_WHITESPACE
 >>> x == [2]*241 + [5]*241
 True
 >>> prime_factors(10**-354)
 []
 >>> prime_factors('hello')
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'str'
 >>> prime_factors([1,2,'hello'])
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'list'

 """
i=2
factors= []
whilei*i<=n:
ifn%i:
i+=1
else:
n//=i
factors.append(i)
ifn>1:
factors.append(n)
returnfactors


defunique_prime_factors(n: int) ->list[int]:
"""
 Returns unique prime factors of n as a list.

 >>> unique_prime_factors(0)
 []
 >>> unique_prime_factors(100)
 [2, 5]
 >>> unique_prime_factors(2560)
 [2, 5]
 >>> unique_prime_factors(10**-2)
 []
 >>> unique_prime_factors(0.02)
 []
 >>> unique_prime_factors(10**241)
 [2, 5]
 >>> unique_prime_factors(10**-354)
 []
 >>> unique_prime_factors('hello')
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'str'
 >>> unique_prime_factors([1,2,'hello'])
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'list'
 """
i=2
factors= []
whilei*i<=n:
ifnotn%i:
whilenotn%i:
n//=i
factors.append(i)
i+=1
ifn>1:
factors.append(n)
returnfactors


if__name__=="__main__":
importdoctest

doctest.testmod()
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"""
python/black : True
"""

from __future__ importannotations


defprime_factors(n: int) ->list[int]:
"""
 Returns prime factors of n as a list.

 >>> prime_factors(0)
 []
 >>> prime_factors(100)
 [2, 2, 5, 5]
 >>> prime_factors(2560)
 [2, 2, 2, 2, 2, 2, 2, 2, 2, 5]
 >>> prime_factors(10**-2)
 []
 >>> prime_factors(0.02)
 []
 >>> x = prime_factors(10**241) # doctest: +NORMALIZE_WHITESPACE
 >>> x == [2]*241 + [5]*241
 True
 >>> prime_factors(10**-354)
 []
 >>> prime_factors('hello')
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'str'
 >>> prime_factors([1,2,'hello'])
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'list'

 """
i=2
factors= []
whilei*i<=n:
ifn%i:
i+=1
else:
n//=i
factors.append(i)
ifn>1:
factors.append(n)
returnfactors


defunique_prime_factors(n: int) ->list[int]:
"""
 Returns unique prime factors of n as a list.

 >>> unique_prime_factors(0)
 []
 >>> unique_prime_factors(100)
 [2, 5]
 >>> unique_prime_factors(2560)
 [2, 5]
 >>> unique_prime_factors(10**-2)
 []
 >>> unique_prime_factors(0.02)
 []
 >>> unique_prime_factors(10**241)
 [2, 5]
 >>> unique_prime_factors(10**-354)
 []
 >>> unique_prime_factors('hello')
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'str'
 >>> unique_prime_factors([1,2,'hello'])
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'list'
 """
i=2
factors= []
whilei*i<=n:
ifnotn%i:
whilenotn%i:
n//=i
factors.append(i)
i+=1
ifn>1:
factors.append(n)
returnfactors


if__name__=="__main__":
importdoctest

doctest.testmod()
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"""
python/black : True
"""

from __future__ importannotations


defprime_factors(n: int) ->list[int]:
"""
 Returns prime factors of n as a list.

 >>> prime_factors(0)
 []
 >>> prime_factors(100)
 [2, 2, 5, 5]
 >>> prime_factors(2560)
 [2, 2, 2, 2, 2, 2, 2, 2, 2, 5]
 >>> prime_factors(10**-2)
 []
 >>> prime_factors(0.02)
 []
 >>> x = prime_factors(10**241) # doctest: +NORMALIZE_WHITESPACE
 >>> x == [2]*241 + [5]*241
 True
 >>> prime_factors(10**-354)
 []
 >>> prime_factors('hello')
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'str'
 >>> prime_factors([1,2,'hello'])
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'list'

 """
i=2
factors= []
whilei*i<=n:
ifn%i:
i+=1
else:
n//=i
factors.append(i)
ifn>1:
factors.append(n)
returnfactors


defunique_prime_factors(n: int) ->list[int]:
"""
 Returns unique prime factors of n as a list.

 >>> unique_prime_factors(0)
 []
 >>> unique_prime_factors(100)
 [2, 5]
 >>> unique_prime_factors(2560)
 [2, 5]
 >>> unique_prime_factors(10**-2)
 []
 >>> unique_prime_factors(0.02)
 []
 >>> unique_prime_factors(10**241)
 [2, 5]
 >>> unique_prime_factors(10**-354)
 []
 >>> unique_prime_factors('hello')
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'str'
 >>> unique_prime_factors([1,2,'hello'])
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'list'
 """
i=2
factors= []
whilei*i<=n:
ifnotn%i:
whilenotn%i:
n//=i
factors.append(i)
i+=1
ifn>1:
factors.append(n)
returnfactors


if__name__=="__main__":
importdoctest

doctest.testmod()
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"""
python/black : True
"""

from __future__ importannotations


defprime_factors(n: int) ->list[int]:
"""
 Returns prime factors of n as a list.

 >>> prime_factors(0)
 []
 >>> prime_factors(100)
 [2, 2, 5, 5]
 >>> prime_factors(2560)
 [2, 2, 2, 2, 2, 2, 2, 2, 2, 5]
 >>> prime_factors(10**-2)
 []
 >>> prime_factors(0.02)
 []
 >>> x = prime_factors(10**241) # doctest: +NORMALIZE_WHITESPACE
 >>> x == [2]*241 + [5]*241
 True
 >>> prime_factors(10**-354)
 []
 >>> prime_factors('hello')
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'str'
 >>> prime_factors([1,2,'hello'])
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'list'

 """
i=2
factors= []
whilei*i<=n:
ifn%i:
i+=1
else:
n//=i
factors.append(i)
ifn>1:
factors.append(n)
returnfactors


defunique_prime_factors(n: int) ->list[int]:
"""
 Returns unique prime factors of n as a list.

 >>> unique_prime_factors(0)
 []
 >>> unique_prime_factors(100)
 [2, 5]
 >>> unique_prime_factors(2560)
 [2, 5]
 >>> unique_prime_factors(10**-2)
 []
 >>> unique_prime_factors(0.02)
 []
 >>> unique_prime_factors(10**241)
 [2, 5]
 >>> unique_prime_factors(10**-354)
 []
 >>> unique_prime_factors('hello')
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'str'
 >>> unique_prime_factors([1,2,'hello'])
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'list'
 """
i=2
factors= []
whilei*i<=n:
ifnotn%i:
whilenotn%i:
n//=i
factors.append(i)
i+=1
ifn>1:
factors.append(n)
returnfactors


if__name__=="__main__":
importdoctest

doctest.testmod()
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"""
python/black : True
"""

from __future__ importannotations


defprime_factors(n: int) ->list[int]:
"""
 Returns prime factors of n as a list.

 >>> prime_factors(0)
 []
 >>> prime_factors(100)
 [2, 2, 5, 5]
 >>> prime_factors(2560)
 [2, 2, 2, 2, 2, 2, 2, 2, 2, 5]
 >>> prime_factors(10**-2)
 []
 >>> prime_factors(0.02)
 []
 >>> x = prime_factors(10**241) # doctest: +NORMALIZE_WHITESPACE
 >>> x == [2]*241 + [5]*241
 True
 >>> prime_factors(10**-354)
 []
 >>> prime_factors('hello')
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'str'
 >>> prime_factors([1,2,'hello'])
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'list'

 """
i=2
factors= []
whilei*i<=n:
ifn%i:
i+=1
else:
n//=i
factors.append(i)
ifn>1:
factors.append(n)
returnfactors


defunique_prime_factors(n: int) ->list[int]:
"""
 Returns unique prime factors of n as a list.

 >>> unique_prime_factors(0)
 []
 >>> unique_prime_factors(100)
 [2, 5]
 >>> unique_prime_factors(2560)
 [2, 5]
 >>> unique_prime_factors(10**-2)
 []
 >>> unique_prime_factors(0.02)
 []
 >>> unique_prime_factors(10**241)
 [2, 5]
 >>> unique_prime_factors(10**-354)
 []
 >>> unique_prime_factors('hello')
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'str'
 >>> unique_prime_factors([1,2,'hello'])
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'list'
 """
i=2
factors= []
whilei*i<=n:
ifnotn%i:
whilenotn%i:
n//=i
factors.append(i)
i+=1
ifn>1:
factors.append(n)
returnfactors


if__name__=="__main__":
importdoctest

doctest.testmod()
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"""
python/black : True
"""

from __future__ importannotations


defprime_factors(n: int) ->list[int]:
"""
 Returns prime factors of n as a list.

 >>> prime_factors(0)
 []
 >>> prime_factors(100)
 [2, 2, 5, 5]
 >>> prime_factors(2560)
 [2, 2, 2, 2, 2, 2, 2, 2, 2, 5]
 >>> prime_factors(10**-2)
 []
 >>> prime_factors(0.02)
 []
 >>> x = prime_factors(10**241) # doctest: +NORMALIZE_WHITESPACE
 >>> x == [2]*241 + [5]*241
 True
 >>> prime_factors(10**-354)
 []
 >>> prime_factors('hello')
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'str'
 >>> prime_factors([1,2,'hello'])
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'list'

 """
i=2
factors= []
whilei*i<=n:
ifn%i:
i+=1
else:
n//=i
factors.append(i)
ifn>1:
factors.append(n)
returnfactors


defunique_prime_factors(n: int) ->list[int]:
"""
 Returns unique prime factors of n as a list.

 >>> unique_prime_factors(0)
 []
 >>> unique_prime_factors(100)
 [2, 5]
 >>> unique_prime_factors(2560)
 [2, 5]
 >>> unique_prime_factors(10**-2)
 []
 >>> unique_prime_factors(0.02)
 []
 >>> unique_prime_factors(10**241)
 [2, 5]
 >>> unique_prime_factors(10**-354)
 []
 >>> unique_prime_factors('hello')
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'str'
 >>> unique_prime_factors([1,2,'hello'])
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'list'
 """
i=2
factors= []
whilei*i<=n:
ifnotn%i:
whilenotn%i:
n//=i
factors.append(i)
i+=1
ifn>1:
factors.append(n)
returnfactors


if__name__=="__main__":
importdoctest

doctest.testmod()
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"""
python/black : True
"""

from __future__ importannotations


defprime_factors(n: int) ->list[int]:
"""
 Returns prime factors of n as a list.

 >>> prime_factors(0)
 []
 >>> prime_factors(100)
 [2, 2, 5, 5]
 >>> prime_factors(2560)
 [2, 2, 2, 2, 2, 2, 2, 2, 2, 5]
 >>> prime_factors(10**-2)
 []
 >>> prime_factors(0.02)
 []
 >>> x = prime_factors(10**241) # doctest: +NORMALIZE_WHITESPACE
 >>> x == [2]*241 + [5]*241
 True
 >>> prime_factors(10**-354)
 []
 >>> prime_factors('hello')
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'str'
 >>> prime_factors([1,2,'hello'])
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'list'

 """
i=2
factors= []
whilei*i<=n:
ifn%i:
i+=1
else:
n//=i
factors.append(i)
ifn>1:
factors.append(n)
returnfactors


defunique_prime_factors(n: int) ->list[int]:
"""
 Returns unique prime factors of n as a list.

 >>> unique_prime_factors(0)
 []
 >>> unique_prime_factors(100)
 [2, 5]
 >>> unique_prime_factors(2560)
 [2, 5]
 >>> unique_prime_factors(10**-2)
 []
 >>> unique_prime_factors(0.02)
 []
 >>> unique_prime_factors(10**241)
 [2, 5]
 >>> unique_prime_factors(10**-354)
 []
 >>> unique_prime_factors('hello')
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'str'
 >>> unique_prime_factors([1,2,'hello'])
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'list'
 """
i=2
factors= []
whilei*i<=n:
ifnotn%i:
whilenotn%i:
n//=i
factors.append(i)
i+=1
ifn>1:
factors.append(n)
returnfactors


if__name__=="__main__":
importdoctest

doctest.testmod()
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"""
python/black : True
"""

from __future__ importannotations


defprime_factors(n: int) ->list[int]:
"""
 Returns prime factors of n as a list.

 >>> prime_factors(0)
 []
 >>> prime_factors(100)
 [2, 2, 5, 5]
 >>> prime_factors(2560)
 [2, 2, 2, 2, 2, 2, 2, 2, 2, 5]
 >>> prime_factors(10**-2)
 []
 >>> prime_factors(0.02)
 []
 >>> x = prime_factors(10**241) # doctest: +NORMALIZE_WHITESPACE
 >>> x == [2]*241 + [5]*241
 True
 >>> prime_factors(10**-354)
 []
 >>> prime_factors('hello')
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'str'
 >>> prime_factors([1,2,'hello'])
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'list'

 """
i=2
factors= []
whilei*i<=n:
ifn%i:
i+=1
else:
n//=i
factors.append(i)
ifn>1:
factors.append(n)
returnfactors


defunique_prime_factors(n: int) ->list[int]:
"""
 Returns unique prime factors of n as a list.

 >>> unique_prime_factors(0)
 []
 >>> unique_prime_factors(100)
 [2, 5]
 >>> unique_prime_factors(2560)
 [2, 5]
 >>> unique_prime_factors(10**-2)
 []
 >>> unique_prime_factors(0.02)
 []
 >>> unique_prime_factors(10**241)
 [2, 5]
 >>> unique_prime_factors(10**-354)
 []
 >>> unique_prime_factors('hello')
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'str'
 >>> unique_prime_factors([1,2,'hello'])
 Traceback (most recent call last):
 ...
 TypeError: '<=' not supported between instances of 'int' and 'list'
 """
i=2
factors= []
whilei*i<=n:
ifnotn%i:
whilenotn%i:
n//=i
factors.append(i)
i+=1
ifn>1:
factors.append(n)
returnfactors


if__name__=="__main__":
importdoctest

doctest.testmod()