import re
import numpy as np
from scipy import spatial as sp

amount_of_words = 0
amount_of_sentences = 0
freq = {}
sentences = []
text = open("2.3.1.txt", 'r')

for line in text:
    amount_of_sentences += 1
    current = re.split('[^a-z]', line[: -2].lower())
    result = []
    for cur in current:
        if cur != '':
            result.append(cur)
            if cur not in freq.values():
                freq[amount_of_words] = cur
                amount_of_words += 1
    sentences.append(result)
text.close()

matrix_freq = np.zeros((amount_of_sentences, amount_of_words))
i = 0

for i in range(amount_of_sentences):
    for j in range(amount_of_words):
        matrix_freq[i][j] = sentences[i].count(freq[j])

results = []
comp = matrix_freq[0]
min1 = 1
min2 = 1
min1_index = 0
min2_index = 0
for i in range(1, amount_of_sentences):
    x = sp.distance.cosine(comp, matrix_freq[i])
    results.insert(i, x)
    if x <= min1:
        min2 = min1
        min2_index = min1_index
        min1 = x
        min1_index = i
    elif x <= min2:
        min2 = x
        min2_index = i

# for i in matrix_freq:
#     print(i)
print(results)
results.sort()
print(results)
print(min1, min2)
print(min1_index, min2_index)

res = open('2.3.1.result.txt', 'w')
res.write(str(min1_index) + ' ' + str(min2_index))
res.close()


-----------------------------------------------------------------------------


import re
import numpy as np
from math import pi, sin, exp


def f(x):
    return sin(x / 5) * exp(x / 10) + 5 * exp(-1 * x / 2)


f_1 = f(1)
f_4 = f(4)
f_8 = f(8)
f_10 = f(10)
f_15 = f(15)

matrix_1 = np.array([[1, 1],
                     [1, 15]])
b_1 = np.array([f_1, f_15])
x_1 = np.linalg.solve(matrix_1, b_1)

# .....

matrix_3 = np.array([[1, 1, 1, 1],
                    [1, 4, 16, 64],
                    [1, 10, 100, 1000],
                    [1, 15, 225, 3375]])
b_3 = np.array([f_1, f_4, f_10, f_15])
x_3 = np.linalg.solve(matrix_3, b_3)
x = list(map(str, x_3))
print(type(x[0]))
print(x)

result = open("2.3.2.result.txt", 'w')
result.write(x[0] + ' ' + x[1] + ' ' + x[2] + ' ' + x[3])
result.close()