How remove duplicates of tuples in a list, where the tuple elements are in reverse order?

Question

I am working on a assignment where my program shall ask the user about a positive integer n which the prgogram will found the positive integers a and b, satsifying a ^3 + b ^3 = n .

My work and progress thus far is shown below

def ramunajan(n):
    list=[]
    u = int(n**(1/3)+1)
    for a in range (0,u):
        b = (n-a**3)**(1/3)
        b = round(b)
        if a**3+b**3 == n:
            list.append((a,b))
    return list     

while True:
    try:
        n = input("För vilket positivt heltal n vill du hitta a och b där a^3 + b^3 = n ?\n")
    except ValueError or n <= 0:
            continue
    else:
            break

list_1 = ramunajan(int(n))
print (list_1)

(The input text message is in swedish.)

My problem now is that when a user types in, eg 1729, the program gives output accordingly

For what postivie integer n would you like to find a and b, satisfying a^3 + b^3 = n ?

1729

[(1, 12), (9, 10), (10, 9), (12, 1)]

How do I get rid of the reverse duplicates, ie (10, 9) and (12, 1), from the list?

Thanks!

Answer 1

replace u = int(n**(1/3)+1) with u = int((n**(1/3))/2) + 1

so it checks only the first half of the pool, since the second half are duplicates