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@hugovk
Created February 2, 2020 20:29
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import sys
A_LOWERCASE = ord("a")
ALPHABET_SIZE = 26
def _decompose(number):
"""Generate digits from `number` in base alphabet, least significants bits first.
Since a is 1 rather than 0 in base alphabet, we are dealing with `number - 1` at
each iteration to be able to extract the proper digits.
https://codereview.stackexchange.com/a/182757
"""
while number:
number, remainder = divmod(number - 1, ALPHABET_SIZE)
yield remainder
def base_10_to_alphabet(number):
"""Convert a decimal number to its base alphabet representation"""
return "".join(chr(A_LOWERCASE + part) for part in _decompose(number))[::-1]
def is_palindrome(word):
chars_to_check = int(len(word) / 2)
for i, c in enumerate(word[:chars_to_check]):
if c != word[-i - 1]:
return False
return True
assert is_palindrome("a")
assert is_palindrome("aa")
assert is_palindrome("aba")
assert is_palindrome("abba")
assert is_palindrome("abzba")
assert not is_palindrome("ax")
assert not is_palindrome("abx")
assert not is_palindrome("abxa")
assert not is_palindrome("abzxa")
i = 0
found = 0
while True:
i += 1
word = base_10_to_alphabet(i)
if is_palindrome(word):
print(word)
found += 1
# How many palindromes?
if found == 10000:
sys.exit()
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mdadm
mdbdm
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mjzjm
mkakm
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mkqkm
mkrkm
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mkvkm
mkwkm
mkxkm
mkykm
mkzkm
mlalm
mlblm
mlclm
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mlelm
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mlglm
mlhlm
mlilm
mljlm
mlklm
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mlzlm
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mmcmm
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mmjmm
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mmzmm
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moaom
mobom
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modom
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momom
monom
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morom
mosom
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mouom
movom
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moyom
mozom
mpapm
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mphpm
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mqaqm
mqbqm
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mqdqm
mqeqm
mqfqm
mqgqm
mqhqm
mqiqm
mqjqm
mqkqm
mqlqm
mqmqm
mqnqm
mqoqm
mqpqm
mqqqm
mqrqm
mqsqm
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mquqm
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mqwqm
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mqzqm
mrarm
mrbrm
mrcrm
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mrlrm
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mrnrm
mrorm
mrprm
mrqrm
mrrrm
mrsrm
mrtrm
mrurm
mrvrm
mrwrm
mrxrm
mryrm
mrzrm
msasm
msbsm
mscsm
msdsm
msesm
msfsm
msgsm
mshsm
msism
msjsm
msksm
mslsm
msmsm
msnsm
msosm
mspsm
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