How would you swap the values of two integers without using any additional variables?

Swapping the values of two integers without using any additional variables can be achieved using mathematical operations. Here’s how you do it.

Let’s say you are given two integers ‘a‘ and ‘b‘.

The first step is to store the sum of ‘a‘ and ‘b‘ in ‘a‘. This makes ‘a‘ carry both the information of ‘a‘ and ‘b‘.

a = a + b

Now, ‘a‘ is equivalent to ‘a+b‘. To get ‘b‘ from ‘a‘, subtract the original ‘b‘ from ‘a‘:

b = a − b

Given that ‘a‘ was ‘a+b‘, ‘b‘ now becomes ‘a‘.

Finally, to get ‘a‘, subtract the new ‘b‘ (previously ‘a‘) from ‘a‘:

a = a − b

This series of operations effectively swaps ‘a‘ and ‘b‘ without using any temporary variables.

Here’s a sample code that demonstrates this procedure:

def swap(a,b):
    a = a+b
    b = a-b
    a = a-b
    return a,b

print(swap(3,4))

This code swaps ‘a‘ and ‘b‘ in place without creating additional variables. Please note that this is really more of a programming puzzle solution and may not be the best solution when taking considerations of performance, potential Overflow risk and readability in real-world cases.