# tingleshao/eulerMKII

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problem 89

commit e75f08a7ede5a9a8b1d6250d5c95afff2453df64 1 parent f744b49
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Showing with 1,112 additions and 0 deletions.
1. +112 −0 problem81to90/problem89.py
2. +1,000 −0 problem81to90/roman.txt
112 problem81to90/problem89.py
 @@ -0,0 +1,112 @@ +# problem 89 +roman_file = open('roman.txt','r') +roman_lst = roman_file.read().strip().split('\n') +for r in roman_lst: + print r +print len(roman_lst) + +roman_dict = {'I':1, 'V':5, 'X':10, 'L':50, 'C':100, 'D':500, 'M':1000} + +def conv_roman_to_int(roman): + roman_len = len(roman) + val = 0 + i = 0 + while i < roman_len-1: + if roman_dict[roman[i]] < roman_dict[roman[i+1]]: + val = val + (roman_dict[roman[i+1]] - roman_dict[roman[i]]) + i = i + 2 + else: + val = val + (roman_dict[roman[i]]) + i = i + 1 + if i == roman_len-1: + val = val + roman_dict[roman[i]] + return val + + +def conv_int_to_minimal_roman(n): + str_n = str(n) + len_d = len(str_n) + roman = "" + if len_d >= 4: + roman = roman + 'M' * int(str_n[:-3]) + if len_d >= 3: + str_n_last_3 = str_n[-3:-2] + if str_n_last_3 == '9': + roman = roman + 'CM' + elif str_n_last_3 == '8': + roman = roman + 'DCCC' + elif str_n_last_3 == '7': + roman = roman + 'DCC' + elif str_n_last_3 == '6': + roman = roman + 'DC' + elif str_n_last_3 == '5': + roman = roman + 'D' + elif str_n_last_3 == '4': + roman = roman + 'CD' + elif str_n_last_3 == '3': + roman = roman + 'CCC' + elif str_n_last_3 == '2': + roman = roman + 'CC' + elif str_n_last_3 == '1': + roman = roman + 'C' + if len_d >= 2: + str_n_last_2 = str_n[-2:-1] + if str_n_last_2 == '9': + roman = roman + 'XC' + elif str_n_last_2 == '8': + roman = roman + 'LXXX' + elif str_n_last_2 == '7': + roman = roman + 'LXX' + elif str_n_last_2 == '6': + roman = roman + 'LX' + elif str_n_last_2 == '5': + roman = roman + 'L' + elif str_n_last_2 == '4': + roman = roman + 'XL' + elif str_n_last_2 == '3': + roman = roman + 'XXX' + elif str_n_last_2 == '2': + roman = roman + 'XX' + elif str_n_last_2 == '1': + roman = roman + 'X' + str_n_last_1 = str_n[-1] + if str_n_last_1 == '9': + roman = roman + 'IX' + elif str_n_last_1 == '8': + roman = roman + 'VIII' + elif str_n_last_1 == '7': + roman = roman + 'VII' + elif str_n_last_1 == '6': + roman = roman + 'VI' + elif str_n_last_1 == '5': + roman = roman + 'V' + elif str_n_last_1 == '4': + roman = roman + 'IV' + elif str_n_last_1 == '3': + roman = roman + 'III' + elif str_n_last_1 == '2': + roman = roman + 'II' + elif str_n_last_1 == '1': + roman = roman + 'I' + return roman + +saved = 0 +for roman in roman_lst: + len_roman = len(roman) + new_roman = conv_int_to_minimal_roman(conv_roman_to_int(roman)) + print "roman: " + roman + print "new_roman: " + new_roman + len_new_roman = len(new_roman) + if len_new_roman > len_roman: + print "error: new roman length larger than roman length: " + roman + break + if conv_roman_to_int(new_roman) != conv_roman_to_int(roman): + print "error at roman: " + roman + "\nnew roman value: " + str(conv_roman_to_int(new_roman)) + "\nold roman value: " + str(conv_roman_to_int(roman)) + break + print "roman length: " + str(len_roman) + print "new roman length : " + str(len_new_roman) + saved += len_roman - len_new_roman + print "---------" + + +print saved
1,000 problem81to90/roman.txt
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