Problem Set 6(Adam's Number)

Adam Number

A number is said to be an Adam number if the reverse of the square of the number is equal to the square of the reverse of the number.  For example, 12 is an Adam number because the reverse of the square of 12 is the reverse of 144, which is 441, and the square of the reverse of 12 is the square of 21, which is also 441.
 

Write an Algorithm and the subsequent Python code to check whether the given number  is an Adam number or not.

Write a function to reverse a number

Input Format:

The first line will contain the number.

Output Format:

Print Adam number or Not an Adam number

Input:

The number n

Processing:

def reverse(number):
    rev_num = ''
    temp = number
    while temp:
        rev_num = rev_num + str(temp%10)
        temp = temp//10
    rev_num = int(rev_num)
    return rev_num

Output:

Display whether the number is an Adam Number or not

Program:

def reverse(number):
    rev_num = ''
    temp = number
    while temp:
        rev_num = rev_num + str(temp%10)
        temp = temp//10
    rev_num = int(rev_num)
    return rev_num

n = int(input())
if reverse(n**2) == (reverse(n)**2):
    print('Adam number')
else:
    print('Not an Adam number')

Algorithm:

Step1. Define the reverse function which has one parameter as number

Step1.1 assign rev_num as an empty string

Step1.2 assign temp as number

Step1.3 repeat till is not equal to zero

Step1.3.1 assign rev_num as the sum of rev_num and the remainder obtained when temp is divided by 10 which is converted into a string

Step1.3.2 let temp be temp divided by 10

Step1.4 get the number n

Step1.5 check if reverse of square of n is equal to reverse of n and take the square if true display adam number else display not an adam number.

Step1.6 End