Эффективная реализация функции __gt__ для быстрой сортировки

import random
from dataclasses import dataclass
 
 
@dataclass(frozen=True)
class User:
    __slots__ = ['username', 'solved', 'errors']
    username: str
    solved: int
    errors: int
 
    def __gt__(self, other):
        if self.solved == other.solved:
            if self.errors == other.errors:
                return self.username > other.username
            else:
                return self.errors > other.errors
        return self.solved < other.solved
 
    def __str__(self):
        return self.username
 
 
def quicksort(arr):
    def sort(arr, low, high):
        if low >= high:
            return -1
 
        left, right = low, high
        pivot = arr[random.randint(low, high)]
 
        while left <= right:
            while arr[left] < pivot:
                left += 1
            while arr[right] > pivot:
                right -= 1
 
            if left <= right:
                arr[left], arr[right] = arr[right], arr[left]
                left += 1
                right -= 1
 
        sort(arr, low, right)
        sort(arr, left, high)
 
    sort(arr, low=0, high=len(arr)-1)
 
 
if __name__ == "__main__":
    number = int(input())
    users = []
 
    for _ in range(number):
        username, solved, errors = input().split()
        users.append(User(username, int(solved), int(errors)))
 
    quicksort(users)
 
    print(*users, sep='\n')[/CODE]

def __gt__(self, other):
        if self.solved == other.solved:
            if self.errors == other.errors:
                return self.username > other.username
            else:
                return self.errors > other.errors
        return self.solved < other.solved

self.solved != other.solved:
     if self.errors != other.errors:
        ...
    ...
...

    def __gt__(self, other):
        if self.solved != other.solved:
            return self.solved < other.solved
        if self.errors != other.errors:
            return self.errors > other.errors
        return self.username > other.username