solutions.problem17   A
last analyzed

Complexity

Total Complexity 12

Size/Duplication

Total Lines 81
Duplicated Lines 0 %

Importance

Changes 0
Metric Value
eloc 28
dl 0
loc 81
rs 10
c 0
b 0
f 0
wmc 12

2 Functions

Rating   Name   Duplication   Size   Complexity  
A solve() 0 8 2
C number_to_english() 0 29 10
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"""
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Project Euler Problem 17: Number Letter Counts
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==============================================
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.. module:: solutions.problem17
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   :synopsis: My solution to problem #17.
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The source code for this problem can be
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`found here <https://bitbucket.org/nekedome/project-euler/src/master/solutions/problem17.py>`_.
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Problem Statement
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#################
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If the numbers :math:`1` to :math:`5` are written out in words: one, two, three, four, five, then there are
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:math:`3 + 3 + 5 + 4 + 4 = 19` letters used in total.
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If all the numbers from :math:`1` to :math:`1000` (one thousand) inclusive were written out in words, how many letters
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would be used?
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.. note:: do not count spaces or hyphens. For example, :math:`342` (three hundred and forty-two) contains :math:`23`
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          letters and :math:`115` (one hundred and fifteen) contains :math:`20` letters. The use of "and" when writing
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          out numbers is in compliance with British usage.
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Solution Discussion
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###################
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Use the rules of English to construct the string representing the numbers from :math:`1` to :math:`1000`, remove
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characters not to be counted, then calculate the total length of that string.
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Solution Implementation
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#######################
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.. literalinclude:: ../../solutions/problem17.py
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   :language: python
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   :lines: 39-
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"""
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def number_to_english(n: int) -> str:
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    """ Translate an integer into words form
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    :param n: the integer to translate
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    :return: the English phrasing of :math:`n`
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    >>> number_to_english(127)
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    'one hundred and twenty-seven'
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    """
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    ones = ["zero", "one", "two", "three", "four", "five", "six", "seven", "eight", "nine", "ten", "eleven", "twelve",
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            "thirteen", "fourteen", "fifteen", "sixteen", "seventeen", "eighteen", "nineteen"]
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    tens = [None, None, "twenty", "thirty", "forty", "fifty", "sixty", "seventy", "eighty", "ninety"]
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    if 0 <= n < 20:
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        return ones[n]
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    elif 20 <= n <= 90 and n % 10 == 0:
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        return tens[n // 10]
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    elif 20 < n < 100:
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        return tens[n // 10] + "-" + ones[n % 10]
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    elif 100 <= n <= 900 and n % 100 == 0:
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        return ones[n // 100] + " hundred"
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    elif 100 < n < 1000:
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        return ones[n // 100] + " hundred and " + number_to_english(n % 100)
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    elif 1000 < n < 10000:
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        pass
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    elif n == 1000:
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        return "one thousand"
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    else:
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        raise ValueError("unexpected input")
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def solve():
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    """ Compute the answer to Project Euler's problem #17 """
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    target = 1000
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    answer = 0
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    for i in range(target):
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        words = number_to_english(i + 1).replace(" ", "").replace("-", "")
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        answer += len(words)
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    return answer
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expected_answer = 21124
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