import time, sys

sys.set_int_max_str_digits(0)

st = int(input("start? "))
en = int(input("end? "))
se = int(input("step? "))
size = int(input("size? "))
xQ = input("show x values?(y/n) ")

with open('Result.txt', 'w', encoding='utf8') as f:
    for S in range(st, en + 1, se):
        MaxN = size
        X = [[2, 1]]
        AminB = []

        for i in range(1, MaxN + 1):
            Temp = [[X[i-1][0] ** 2, X[i-1][1] * X[i-1][0]], [X[i-1][1] * X[i-1][1] * S, X[i-1][1] * X[i-1][0]]]
            if X[i-1][1] == 1 and (int(Temp[1][0] / 2) == Temp[1][0] / 2 and int(Temp[1][1] / 2) == Temp[1][1] / 2 and int(Temp[0][0] / 2) == Temp[0][0] / 2 and int(Temp[0][1] / 2) == Temp[0][1] / 2):
                while True:
                    if Temp[1][0] % 2 == 0 and Temp[1][1] % 2 == 0 and Temp[0][0] % 2 == 0 and Temp[0][1] % 2 == 0:
                        Temp[0][0] //= 2
                        Temp[0][1] //= 2
                        Temp[1][0] //= 2 
                        Temp[1][1] //= 2
                    else:
                        break
            AminB.append(Temp[0][0] - Temp[1][0])
            res = [Temp[0][0] + Temp[1][0], (Temp[0][1] * 2)]
            while True:
                if res[0] % 2 == 0 and res[1] % 2 == 0:
                    res[0] //= 2
                    res[1] //= 2
                else:
                    break
            X.append(res)
        f.write('S = '+ str(S) + '\n')
        if xQ == 'y':
            f.write('x = ')
            for i in X:
                f.write(str(i[0]) + '/' + str(i[1]) + ', ')
            f.write('\n')
        f.write('A-B = ')
        for i in AminB:
            f.write(str(i) + ', ')
        f.write('\n\n')

print('Complete!')
time.sleep(3)