write the code in paython:

$1.$Write a function called sum$\_$divisors$()$finds the sum of all the proper factors of an

integer. $($Proper factors are all the factors of an integer other than the number, itself.$)$

Signature:

def sum$\_$divisors$($n$)$:

# your code here

return

Examples:

sum$\_$divisors$(1)->1$ #only $1$ divides itself

sum$\_$divisors$(5)->6$ #$5+1$

sum$\_$divisors$(10)->18$ #$1+2+5+10$

$2.$ Write a function called bigger$\_$mystery$()$ that takes one integer parameter, n$,$ and

determines which mystery function above generates a larger result.

$$ "SAME" if the two results are the same

$$ "ONE" if mystery$\_$sum$()$ generates a larger result

$$ "TWO" if mystery$\_$sum$2()$ generates a larger result

Signature:

def bigger$\_$mystery$($n$)$:

# your code here

return

Examples:

bigger$\_$mystery$(5)->$ TWO

bigger$\_$mystery$(20))->$ ONE