# Benefits of Double Division Operator over Single Division Operator in Python

The Double Division operator in Python returns the floor value for both integer and floating-point arguments after division.

## Python3

 `# A Python program to demonstrate use of  ` `# "//" for both integers and floating points`   `print``(``5``/``/``2``)` `print``(``-``5``/``/``2``)` `print``(``5.0``/``/``2``)`

Output:

```2
-3
2.0```

The time complexity of the program is O(1) as it contains only constant-time operations.

The auxiliary space used by the program is O(1) as it only uses a fixed amount of memory to store the variables and constant values used in the program.

The single division operator behaves abnormally generally for very large numbers. Consider the following example. Examples 1:

## Python3

 `# single division` `print``(``1000000002``/``2``)`   `# Gives wrong output` `print``(``int``(((``10` `*``*` `17``) ``+` `2``)``/``2``))`   `# Gives Correct output` `print``(((``10` `*``*` `17``) ``+` `2``)``/``/``2``)`

Output:

```500000001.0
50000000000000000
50000000000000001```

The time complexity of all three operations is constant time O(1) as they involve simple arithmetic operations.

The auxiliary space complexity of all three operations is also constant space O(1) as they do not use any extra memory that depends on the input size.

Example 2:

## Python3

 `x ``=` `10000000000000000000006` `if` `int``(x ``/` `2``) ``=``=` `x ``/``/` `2``:` `    ``print``("Hello")` `else``:` `    ``print``("World")`

Output:

`World`

The Output should have been Hello if the single division operator behaved normally because 2 properly divides x. But the output is World because The results after Single Division Operator and Double Division Operator ARE NOT THE SAME. This fact can be used for programs such as finding the sum of first n numbers for a large n.

## Python3

 `n ``=` `10000000000`   `s1 ``=` `int``(n ``*` `(n ``+` `1``) ``/` `2``)` `s2 ``=` `n ``*` `(n ``+` `1``) ``/``/` `2`   `print``("``Sum` `using single division operator : ", s1)` `print``("``Sum` `using double division operator : ", s2)`

Output:

```Sum using single division operator :  50000000005000003584
Sum using double division operator :  50000000005000000000```

Thus the result found by using the single division operator is Wrong, while the result found by using the double division operator is Correct. This is a huge benefit of Double Division Operator over Single Division Operator in Python.

The time complexity of the code is O(1), as the code involves only simple arithmetic operations.

The auxiliary space used by the code is O(1), as the code does not involve any data structures whose size depends on the input size.

Whether you're preparing for your first job interview or aiming to upskill in this ever-evolving tech landscape, GeeksforGeeks Courses are your key to success. We provide top-quality content at affordable prices, all geared towards accelerating your growth in a time-bound manner. Join the millions we've already empowered, and we're here to do the same for you. Don't miss out - check it out now!

Previous
Next