import secrets
import string
from collections import Counter


def normalize(text):
    return ''.join([c for c in text.upper() if c.isalpha()])


def index_of_coincidence(text):
    counter = Counter(text)
    N = sum(counter.values())
    IC = 0

    for _, freq in counter.items():
        IC += freq * (freq - 1)

    return IC / (N*(N-1))


def generate_key(key_length):
    return [secrets.randbelow(26) for _ in range(key_length)]


def polyalphabetic_rotation(plaintext: str, key):
    ciphertext = ''
    for idx, char in enumerate(plaintext.lower()):
        k = key[idx % (len(key))]
        p = ord(char) - ord('a')
        c = (p+k) % 26
        ciphertext += chr(c + ord('a'))

    return ciphertext


if __name__ == "__main__":
    text = normalize('Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.')

    for length in range(1, 16):
        ic = index_of_coincidence(polyalphabetic_rotation(text, generate_key(length)))
        print(length, ic, sep='\t')