def count(n):
    print()
    result = 0

    for x in reversed(range(1, n + 1)):
        remainder = n - x
        print("x:", x, "remainder:", remainder)

        for y in range(x + 1, remainder + 1):
            print("remainder:", y)
            continue

        result += 1

    return result


if __name__ == "__main__":
    print(count(4))  # 5
    print(count(5))  # 7
    print(count(8))  # 22
    # print(count(42))  # 53174