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path: root/misc/lab3_gen_tex.py
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from math import floor, sqrt

n = 21894583143407671

def f(n, k, d):
    return (floor(sqrt(4 * k * n)) + d) ** 2 - 4 * k * n

def is_square(n):
    k = int(sqrt(n))
    return n == k * k

for k in range(1, floor(n ** (1/3))+ 1):
    d_max = int(floor(n ** (1/6) / (4 * sqrt(k))))
    for d in range(0, d_max + 2):
        q = f(n, k, d)
        if q >= 0 and is_square(q):
            print(q)
            print("d ", k, d)
            exit(1)