Recursion

Recursion Functions


When a function calls itself is known as recursion. Recursion works like loop but sometimes it makes more sense to use recursion than loop. You can convert any loop to recursion.

A recursive function calls itself. Imagine a process would iterate indefinitely if not stopped by some condition! Such a process is known as infinite iteration. The condition that is applied in any recursive function is known as base condition. A base condition is must in every recursive function otherwise it will continue to execute like an infinite loop.

Overview of how recursive function works

1. Recursive function is called by some external code.

2. If the base condition is met then the program gives meaningful output and exits.

3. Otherwise, function does some required processing and then calls itself to continue recursion.

Here is an example of recursive function used to calculate factorial.

Example :

def fact(n):
if n == 0:
return 1
else:
return n * fact (n-1)
print (fact (0))
print (fact (5))

Output:

1

120

Qus: What is a function? How is it useful?

A function is a named block in a program which has some certain working. Whenever you call this it performs all its working. It reduces the complexity and reduces the labour of writing same code again and again.

Qus: What is an argument? Give an example of one.

Ans : An argument is the requirement of a function to perform its working. For ex- pow(x,y), here x and y are the arguments which are required to pass to pow() for its working.

Qus. What is a string slice? How is it useful?

Ans: String Slice is a part of a string containing some contiguous characters from the string. It is accessed from the string by providing a range in ―[ ]‖ brackets i.e. S [n:m]. Python returns all the characters at indices n, n+1, n+2 . . . m-1 e.g. 'Barabanki'.[4:7] will return 'ban'.

Qus. Which functions would you chose to use to remove leading and trailing white spaces from a given string?

Ans: Python String strip() function will remove leading and trailing white spaces. If you want to remove only leading or trailing spaces, use lstrip() or rstrip() function instead.

Qus. Suggest appropriate functions for the following tasks –

(a) To check whether the string contains digits.

(b) To find the occurrence a string within another string.

(c) To convert the first letter of a string to upper case.

(d) To convert all the letters of a string to upper case.

(f) To check whether all the letters of the string are in capital letters.

(g) to remove all the white spaces from the beginning of a string.

Ans.  (a) isalnum() (b) find() (c) capitalize()   (d) upper() (f) isupper() (g) lstrip()


Programs

Write a python script that traverses through an input string and prints its characters in different lines – two characters per line.


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WAP to print the number of occurrences of a substring into a line.


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WAP to check the given string is palindrome or not.


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Python program to convert decimal into other number systems


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