import math


def combinations_naiv(n, r):
    return math.factorial(n) // (math.factorial(r) * math.factorial(n - r))


def euler_053():
    count = 0
    for n in range(1, 101):
        for r in range(1, n + 1):
            if combinations_naiv(n, r) > 10**6:
                count += 1
    return count


if __name__ == "__main__":
    print("e053.py: " + str(euler_053()))
    assert(euler_053() == 4075)