Created
September 10, 2016 21:45
-
-
Save kostasdizas/7b3b3676cfc344f6e7e613889c565816 to your computer and use it in GitHub Desktop.
Greek number word length chains
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
# coding=utf-8 | |
import matplotlib.pyplot as plt | |
def numToWords(num, join=True): | |
'''words = {} convert an integer number into words''' | |
units = ['','ένα','δύο','τρία','τέσσερα','πέντε','έξι','επτά','οκτώ','εννέα'] | |
teens = ['','έντεκα','δώδεκα','δεκατρία','δεκατέσσερα','δεκαπέντε','δεκαέξι', \ | |
'δεκαεπτά','δεκαοκτώ','δεκαεννέα'] | |
tens = ['','δέκα','είκοσι','τριάντα','σαράντα','πενήντα','εξήντα','εβδομήντα', \ | |
'ογδόντα','ενενήντα'] | |
hundreds = ['', 'εκατόν', 'διακόσια', 'τριακόσια', 'τετρακόσια', 'πεντακόσια', \ | |
'εξακόσια', 'επτακόσια', 'οκτακόσια', 'εννιακόσια'] | |
thousands = ['','χιλιάδες','εκατομμύρια','δισεκατομμύρια','τρισεκατομμύρια', \ | |
'τετράκις εκατομμύρια'] | |
words = [] | |
if num == 0: | |
words.append('μηδέν') | |
else: | |
number = str(num) | |
number_len = len(number) | |
groups = (number_len + 2) // 3 | |
number = number.zfill(groups * 3) | |
for i in range(0, groups * 3, 3): | |
h, t, u = int(number[i]), int(number[i + 1]), int(number[i + 2]) | |
g = groups - (i // 3 + 1) | |
if h >= 1: | |
if g == 1: | |
words.append("{}ες".format(hundreds[h][:-2])) | |
else: | |
words.append(hundreds[h]) | |
if t > 1: | |
words.append(tens[t]) | |
if u >= 1: words.append(units[u]) | |
elif t == 1: | |
if u>=1: words.append(teens[u]) | |
else: words.append(tens[t]) | |
else: | |
words.append(units[u]) | |
if g >= 1 and h + t + u > 0: | |
if g > 1 and h + t + u == 1: | |
words.append("{}ο".format(thousands[g][:-2])) | |
else: | |
words.append(thousands[g]) | |
if join: | |
return "".join(words) | |
return words | |
def number_to_words_list_to_length(number): | |
words = numToWords(n, False) | |
sum = 0 | |
for i, word in enumerate(words): | |
x = len(word) * (10 ** i) | |
sum += x | |
print(sum) | |
return sum | |
if __name__ == '__main__': | |
longest = 0 | |
longest_n = 0 | |
longest_chain = None | |
ends = {0:0,1:0,2:0,3:0,4:0,5:0,6:0,7:0,8:0,9:0} | |
for n in range(100): | |
n_orig = n | |
reached_end = False | |
chain = [] | |
while not reached_end: | |
words = numToWords(n) | |
n = len(words) | |
# n = number_to_words_list_to_length(words) | |
# print(n, words) | |
chain.append(n) | |
# check chain for repeats | |
for i in range(1, 7): | |
if len(chain) > i: | |
if chain[-i:] == chain[-i * 2:-i]: | |
chain = chain[:-i] | |
reached_end = True | |
continue | |
print(n_orig, chain) | |
if len(chain) > longest: | |
longest = len(chain) | |
longest_n = n_orig | |
longest_chain = chain | |
ends[chain[-1]] += 1 | |
print("Longest:", longest) | |
print("n:", longest_n) | |
print("Chain:", longest_chain) | |
print(ends) | |
plt.bar(list(ends.keys()), ends.values(), align='center') | |
plt.xticks(list(ends.keys()), ends.keys(), rotation=25) | |
plt.show() |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment