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69 lines
1.4 KiB
Python
69 lines
1.4 KiB
Python
"""
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Project Euler Problem 36
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https://projecteuler.net/problem=36
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Problem Statement:
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Double-base palindromes
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Problem 36
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The decimal number, 585 = 10010010012 (binary), is palindromic in both bases.
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Find the sum of all numbers, less than one million, which are palindromic in
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base 10 and base 2.
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(Please note that the palindromic number, in either base, may not include
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leading zeros.)
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"""
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from __future__ import annotations
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def is_palindrome(n: int | str) -> bool:
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"""
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Return true if the input n is a palindrome.
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Otherwise return false. n can be an integer or a string.
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>>> is_palindrome(909)
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True
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>>> is_palindrome(908)
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False
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>>> is_palindrome('10101')
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True
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>>> is_palindrome('10111')
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False
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"""
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n = str(n)
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return n == n[::-1]
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def solution(n: int = 1000000):
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"""Return the sum of all numbers, less than n , which are palindromic in
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base 10 and base 2.
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>>> solution(1000000)
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872187
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>>> solution(500000)
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286602
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>>> solution(100000)
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286602
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>>> solution(1000)
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1772
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>>> solution(100)
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157
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>>> solution(10)
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25
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>>> solution(2)
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1
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>>> solution(1)
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0
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"""
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total = 0
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for i in range(1, n):
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if is_palindrome(i) and is_palindrome(bin(i).split("b")[1]):
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total += i
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return total
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if __name__ == "__main__":
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print(solution(int(str(input().strip()))))
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