| 
                    1
                 | 
                                    
                                                     | 
                
                 | 
                """  | 
            
            
                                                        
            
                                    
            
            
                | 
                    2
                 | 
                                    
                                                     | 
                
                 | 
                Project Euler Problem 17: Number Letter Counts  | 
            
            
                                                        
            
                                    
            
            
                | 
                    3
                 | 
                                    
                                                     | 
                
                 | 
                ==============================================  | 
            
            
                                                        
            
                                    
            
            
                | 
                    4
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    5
                 | 
                                    
                                                     | 
                
                 | 
                .. module:: solutions.problem17  | 
            
            
                                                        
            
                                    
            
            
                | 
                    6
                 | 
                                    
                                                     | 
                
                 | 
                   :synopsis: My solution to problem #17.  | 
            
            
                                                        
            
                                    
            
            
                | 
                    7
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    8
                 | 
                                    
                                                     | 
                
                 | 
                The source code for this problem can be  | 
            
            
                                                        
            
                                    
            
            
                | 
                    9
                 | 
                                    
                                                     | 
                
                 | 
                `found here <https://bitbucket.org/nekedome/project-euler/src/master/solutions/problem17.py>`_.  | 
            
            
                                                        
            
                                    
            
            
                | 
                    10
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    11
                 | 
                                    
                                                     | 
                
                 | 
                Problem Statement  | 
            
            
                                                        
            
                                    
            
            
                | 
                    12
                 | 
                                    
                                                     | 
                
                 | 
                #################  | 
            
            
                                                        
            
                                    
            
            
                | 
                    13
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    14
                 | 
                                    
                                                     | 
                
                 | 
                If the numbers :math:`1` to :math:`5` are written out in words: one, two, three, four, five, then there are  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                        
            
                                    
            
            
                | 
                    15
                 | 
                                    
                                                     | 
                
                 | 
                :math:`3 + 3 + 5 + 4 + 4 = 19` letters used in total.  | 
            
            
                                                        
            
                                    
            
            
                | 
                    16
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    17
                 | 
                                    
                                                     | 
                
                 | 
                If all the numbers from :math:`1` to :math:`1000` (one thousand) inclusive were written out in words, how many letters  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                        
            
                                    
            
            
                | 
                    18
                 | 
                                    
                                                     | 
                
                 | 
                would be used?  | 
            
            
                                                        
            
                                    
            
            
                | 
                    19
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    20
                 | 
                                    
                                                     | 
                
                 | 
                .. note:: do not count spaces or hyphens. For example, :math:`342` (three hundred and forty-two) contains :math:`23`  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                        
            
                                    
            
            
                | 
                    21
                 | 
                                    
                                                     | 
                
                 | 
                          letters and :math:`115` (one hundred and fifteen) contains :math:`20` letters. The use of "and" when writing  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                        
            
                                    
            
            
                | 
                    22
                 | 
                                    
                                                     | 
                
                 | 
                          out numbers is in compliance with British usage.  | 
            
            
                                                        
            
                                    
            
            
                | 
                    23
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    24
                 | 
                                    
                                                     | 
                
                 | 
                Solution Discussion  | 
            
            
                                                        
            
                                    
            
            
                | 
                    25
                 | 
                                    
                                                     | 
                
                 | 
                ###################  | 
            
            
                                                        
            
                                    
            
            
                | 
                    26
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    27
                 | 
                                    
                                                     | 
                
                 | 
                Use the rules of English to construct the string representing the numbers from :math:`1` to :math:`1000`, remove  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                        
            
                                    
            
            
                | 
                    28
                 | 
                                    
                                                     | 
                
                 | 
                characters not to be counted, then calculate the total length of that string.  | 
            
            
                                                        
            
                                    
            
            
                | 
                    29
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    30
                 | 
                                    
                                                     | 
                
                 | 
                Solution Implementation  | 
            
            
                                                        
            
                                    
            
            
                | 
                    31
                 | 
                                    
                                                     | 
                
                 | 
                #######################  | 
            
            
                                                        
            
                                    
            
            
                | 
                    32
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    33
                 | 
                                    
                                                     | 
                
                 | 
                .. literalinclude:: ../../solutions/problem17.py  | 
            
            
                                                        
            
                                    
            
            
                | 
                    34
                 | 
                                    
                                                     | 
                
                 | 
                   :language: python  | 
            
            
                                                        
            
                                    
            
            
                | 
                    35
                 | 
                                    
                                                     | 
                
                 | 
                   :lines: 39-  | 
            
            
                                                        
            
                                    
            
            
                | 
                    36
                 | 
                                    
                                                     | 
                
                 | 
                """  | 
            
            
                                                        
            
                                    
            
            
                | 
                    37
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    38
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    39
                 | 
                                    
                                                     | 
                
                 | 
                def number_to_english(n: int) -> str:  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                        
            
                                    
            
            
                | 
                    40
                 | 
                                    
                                                     | 
                
                 | 
                    """ Translate an integer into words form  | 
            
            
                                                        
            
                                    
            
            
                | 
                    41
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    42
                 | 
                                    
                                                     | 
                
                 | 
                    :param n: the integer to translate  | 
            
            
                                                        
            
                                    
            
            
                | 
                    43
                 | 
                                    
                                                     | 
                
                 | 
                    :return: the English phrasing of :math:`n`  | 
            
            
                                                        
            
                                    
            
            
                | 
                    44
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    45
                 | 
                                    
                                                     | 
                
                 | 
                    >>> number_to_english(127)  | 
            
            
                                                        
            
                                    
            
            
                | 
                    46
                 | 
                                    
                                                     | 
                
                 | 
                    'one hundred and twenty-seven'  | 
            
            
                                                        
            
                                    
            
            
                | 
                    47
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                        
            
                                    
            
            
                | 
                    48
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    49
                 | 
                                    
                                                     | 
                
                 | 
                    ones = ["zero", "one", "two", "three", "four", "five", "six", "seven", "eight", "nine", "ten", "eleven", "twelve",  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                        
            
                                    
            
            
                | 
                    50
                 | 
                                    
                                                     | 
                
                 | 
                            "thirteen", "fourteen", "fifteen", "sixteen", "seventeen", "eighteen", "nineteen"]  | 
            
            
                                                        
            
                                    
            
            
                | 
                    51
                 | 
                                    
                                                     | 
                
                 | 
                    tens = [None, None, "twenty", "thirty", "forty", "fifty", "sixty", "seventy", "eighty", "ninety"]  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                        
            
                                    
            
            
                | 
                    52
                 | 
                                    
                                                     | 
                
                 | 
                    if 0 <= n < 20:  | 
            
            
                                                        
            
                                    
            
            
                | 
                    53
                 | 
                                    
                                                     | 
                
                 | 
                        return ones[n]  | 
            
            
                                                        
            
                                    
            
            
                | 
                    54
                 | 
                                    
                                                     | 
                
                 | 
                    elif 20 <= n <= 90 and n % 10 == 0:  | 
            
            
                                                        
            
                                    
            
            
                | 
                    55
                 | 
                                    
                                                     | 
                
                 | 
                        return tens[n // 10]  | 
            
            
                                                        
            
                                    
            
            
                | 
                    56
                 | 
                                    
                                                     | 
                
                 | 
                    elif 20 < n < 100:  | 
            
            
                                                        
            
                                    
            
            
                | 
                    57
                 | 
                                    
                                                     | 
                
                 | 
                        return tens[n // 10] + "-" + ones[n % 10]  | 
            
            
                                                        
            
                                    
            
            
                | 
                    58
                 | 
                                    
                                                     | 
                
                 | 
                    elif 100 <= n <= 900 and n % 100 == 0:  | 
            
            
                                                        
            
                                    
            
            
                | 
                    59
                 | 
                                    
                                                     | 
                
                 | 
                        return ones[n // 100] + " hundred"  | 
            
            
                                                        
            
                                    
            
            
                | 
                    60
                 | 
                                    
                                                     | 
                
                 | 
                    elif 100 < n < 1000:  | 
            
            
                                                        
            
                                    
            
            
                | 
                    61
                 | 
                                    
                                                     | 
                
                 | 
                        return ones[n // 100] + " hundred and " + number_to_english(n % 100)  | 
            
            
                                                        
            
                                    
            
            
                | 
                    62
                 | 
                                    
                                                     | 
                
                 | 
                    elif 1000 < n < 10000:  | 
            
            
                                                        
            
                                    
            
            
                | 
                    63
                 | 
                                    
                                                     | 
                
                 | 
                        pass  | 
            
            
                                                        
            
                                    
            
            
                | 
                    64
                 | 
                                    
                                                     | 
                
                 | 
                    elif n == 1000:  | 
            
            
                                                        
            
                                    
            
            
                | 
                    65
                 | 
                                    
                                                     | 
                
                 | 
                        return "one thousand"  | 
            
            
                                                        
            
                                    
            
            
                | 
                    66
                 | 
                                    
                                                     | 
                
                 | 
                    else:  | 
            
            
                                                        
            
                                    
            
            
                | 
                    67
                 | 
                                    
                                                     | 
                
                 | 
                        raise ValueError("unexpected input") | 
            
            
                                                        
            
                                    
            
            
                | 
                    68
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    69
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    70
                 | 
                                    
                                                     | 
                
                 | 
                def solve():  | 
            
            
                                                        
            
                                    
            
            
                | 
                    71
                 | 
                                    
                                                     | 
                
                 | 
                    """ Compute the answer to Project Euler's problem #17 """  | 
            
            
                                                        
            
                                    
            
            
                | 
                    72
                 | 
                                    
                                                     | 
                
                 | 
                    target = 1000  | 
            
            
                                                        
            
                                    
            
            
                | 
                    73
                 | 
                                    
                                                     | 
                
                 | 
                    answer = 0  | 
            
            
                                                        
            
                                    
            
            
                | 
                    74
                 | 
                                    
                                                     | 
                
                 | 
                    for i in range(target):  | 
            
            
                                                        
            
                                    
            
            
                | 
                    75
                 | 
                                    
                                                     | 
                
                 | 
                        words = number_to_english(i + 1).replace(" ", "").replace("-", "") | 
            
            
                                                        
            
                                    
            
            
                | 
                    76
                 | 
                                    
                                                     | 
                
                 | 
                        answer += len(words)  | 
            
            
                                                        
            
                                    
            
            
                | 
                    77
                 | 
                                    
                                                     | 
                
                 | 
                    return answer  | 
            
            
                                                        
            
                                    
            
            
                | 
                    78
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    79
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                        
            
                                    
            
            
                | 
                    80
                 | 
                                    
                                                     | 
                
                 | 
                expected_answer = 21124  | 
            
                            
                    | 
                        
                     | 
                     | 
                     | 
                    
                                                                                                    
                        
                         
                                                                                        
                                                                                     
                     | 
                
            
                                                        
            
                                    
            
            
                | 
                    81
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                        
This check looks for lines that are too long. You can specify the maximum line length.