Narcissistic number

Given N, check whether it is a Narcissistic number or not.
Note:Narcissistic Number is a number that is the sum of its own digits each raised to the power of the number of digits

Examples :

Input : 153
Output : yes
Explanation: 1^3+5^3+3^3=153

Input : 1634
Output : yes
Explanation: 1^4+6^4+3^4+4^4=1634

The approach will be to count the number of digits and then extract every digit and then by using pow function we can get the power of that digit and then sum it up at the end and compare with the original number to check if it is a Narcissistic Number or not.

Below is the implementation of the above idea.

C++

 `// CPP program for checking of` `// Narcissistic number` `#include ` `using` `namespace` `std;`   `// function to count digits` `int` `countDigit(``int` `n)` `{` `    ``if` `(n == 0)` `        ``return` `0;`   `    ``return` `1 + countDigit(n / 10);` `}`   `// Returns true if n is Narcissistic number` `bool` `check(``int` `n)` `{` `    ``// count the number of digits` `    ``int` `l = countDigit(n);` `    ``int` `dup = n;` `    ``int` `sum = 0;`   `    ``// calculates the sum of digits` `    ``// raised to power` `    ``while` `(dup) ` `    ``{` `        ``sum += ``pow``(dup % 10, l);` `        ``dup /= 10;` `    ``}`   `    ``return` `(n == sum);` `}`   `// Driver code ` `int` `main()` `{` `    ``int` `n = 1634;` `    ``if` `(check(n))` `        ``cout << ``"yes"``;` `    ``else` `        ``cout << ``"no"``;` `    ``return` `0;` `}`

Java

 `// Java program for checking` `// of Narcissistic number` `import` `java.io.*;` `import` `static` `java.lang.Math.*;` `class` `narcissistic` `{`   `// function to count digits` `int` `countDigit(``int` `n)` `{` `    ``if` `(n == ``0``)` `        ``return` `0``;` ` `  `    ``return` `1` `+ countDigit(n / ``10``);` `}` ` `  `// Returns true if n is Narcissistic number` `boolean` `check(``int` `n)` `{` `    ``// count the number of digits` `    ``int` `l = countDigit(n);` `    ``int` `dup = n;` `    ``int` `sum = ``0``;` ` `  `    ``// calculates the sum of ` `    ``//digits raised to power` `    ``while``(dup > ``0``) ` `    ``{` `        ``sum += pow(dup % ``10``, l);` `        ``dup /= ``10``;` `    ``}` ` `  `    ``return` `(n == sum);` `}` ` `  `// Driver code` `public` `static` `void` `main(String args[])` ` ``{` `    ``narcissistic obj = ``new` `narcissistic();` `    ``int` `n = ``1634``;` `    ``if` `(obj.check(n))` `        ``System.out.println(``"yes"``);` `    ``else` `        ``System.out.println(``"no"``);` `  ``}` `}`   `//This code is contributed by Anshika Goyal.`

Python3

 `# Python 3 program for checking of` `# Narcissistic number`   `# function to count digits` `def` `countDigit(n) :` `    ``if` `(n ``=``=` `0``) :` `        ``return` `0`   `    ``return` `(``1` `+` `countDigit(n ``/``/` `10``))` `    `    `# Returns true if n is Narcissistic number` `def` `check(n) :` `    `  `    ``# Count the number of digits` `    ``l ``=` `countDigit(n)` `    ``dup ``=` `n; sm ``=` `0`   `    ``# Calculates the sum of digits` `    ``# raised to power` `    ``while` `(dup) :` `        ``sm ``=` `sm ``+` `pow``(dup ``%` `10``, l)` `        ``dup ``=` `dup ``/``/` `10` `    `  `    ``return` `(n ``=``=` `sm)` `    `    `# Driver code ` `n ``=` `1634` `if` `(check(n)) :` `    ``print``( ``"yes"``)` `else` `:` `    ``print``( ``"no"``) ` `    `  `    `    `# This code is contributed by Nikita Tiwari.`

C#

 `// C# program for checking` `// of Narcissistic number` `using` `System;`   `class` `narcissistic` `{`   `    ``// function to count digits` `    ``int` `countDigit(``int` `n)` `    ``{` `        ``if` `(n == 0)` `            ``return` `0;` `    `  `        ``return` `1 + countDigit(n / 10);` `    ``}` `    `  `    ``// Returns true if n is Narcissistic number` `    ``bool` `check(``int` `n)` `    ``{` `        ``// count the number of digits` `        ``int` `l = countDigit(n);` `        ``int` `dup = n;` `        ``int` `sum = 0;` `    `  `        ``// calculates the sum of ` `        ``//digits raised to power` `        ``while``(dup > 0) ` `        ``{` `            ``sum += (``int``)Math.Pow(dup % 10, l);` `            ``dup /= 10;` `        ``}` `    `  `        ``return` `(n == sum);` `    ``}` `    `  `    ``// Driver code ` `    ``public` `static` `void` `Main()` `    ``{` `        ``narcissistic obj = ``new` `narcissistic();` `        ``int` `n = 1634;` `        ``if` `(obj.check(n))` `            ``Console.WriteLine(``"yes"``);` `        ``else` `            ``Console.WriteLine(``"no"``);` `    ``}` `}`   `// This code is contributed by vt_m.`

PHP

 ``

Javascript

 ``

Output

`yes`

Time Complexity: O(logn)

Auxiliary Space: O(1)

Method 2: Simplified Method using string

We have to take input as a string and traverse through string computing power of each character with the length of the string. Note: Here length of the string gives the number of digits of that number

Below is the implementation of the above approach

C++14

 `// CPP program for checking of` `// Narcissistic number` `#include ` `#include ` `using` `namespace` `std;`   `string getResult(string st)` `{` `    ``int` `sum = 0;` `    ``int` `length = st.length();` `    `  `    ``// Traversing through the string` `    ``for` `(``int` `i = 0; i < length; i++) ` `    ``{` `        ``// Since ascii value of numbers ` `        ``// starts from 48 so we subtract it from sum` `        ``sum = sum + ``pow``(st[i] - ``'0'``, length);` `    ``}` `    `  `    ``// Converting string to integer` `    ``int` `number = stoi(st);` `    `  `    ``// Comparing number and sum` `    ``if` `(number == sum)` `        ``return` `"yes"``;` `    ``else` `        ``return` `"no"``;` `}`   `// Driver Code` `int` `main()` `{` `    ``string st = ``"153"``;` `    ``cout << getResult(st);` `    ``return` `0;` `}`

Java

 `// Java program for checking of` `// Narcissistic number` `class` `GFG` `{`   `static` `String getResult(String st)` `{` `    ``int` `sum = ``0``;` `    ``int` `length = st.length();` `    `  `    ``// Traversing through the string` `    ``for` `(``int` `i = ``0``; i < length; i++) ` `    ``{` `      `  `        ``// Since ascii value of numbers ` `        ``// starts from 48 so we subtract it from sum` `        ``sum = sum + (``int``)Math.pow(st.charAt(i) - ``'0'``, length);` `    ``}` `    `  `    ``// Converting string to integer` `    ``int` `number = Integer.parseInt(st);` `    `  `    ``// Comparing number and sum` `    ``if` `(number == sum)` `        ``return` `"yes"``;` `    ``else` `        ``return` `"no"``;` `}`   `// Driver Code` `public` `static` `void` `main(String []args)` `{` `    ``String st = ``"153"``;` `    ``System.out.print(getResult(st));` `}` `}`   `// This code is contributed by rutvik_56.`

Python3

 `# Python program for checking of` `# Narcissistic number`     `def` `getResult(st):` `    ``sum` `=` `0` `    ``length ``=` `len``(st)`   `    ``# Traversing through the string` `    ``for` `i ``in` `st:`   `        ``# Converting character to int` `        ``sum` `=` `sum` `+` `int``(i) ``*``*` `length`   `    ``# Converting string to integer` `    ``number ``=` `int``(st)`   `    ``# Comparing number and sum` `    ``if` `(number ``=``=` `sum``):` `        ``return` `"true"` `    ``else``:` `        ``return` `"false"`     `# Driver Code` `# taking input as string` `st ``=` `"153"` `print``(getResult(st))`

C#

 `// C# program for checking of` `// Narcissistic number` `using` `System;` `class` `GFG` `{`   `static` `string` `getResult(``string` `st)` `{` `    ``int` `sum = 0;` `    ``int` `length = st.Length;` `    `  `    ``// Traversing through the string` `    ``for` `(``int` `i = 0; i < length; i++) ` `    ``{` `      `  `        ``// Since ascii value of numbers ` `        ``// starts from 48 so we subtract it from sum` `        ``sum = sum + (``int``)Math.Pow(st[i] - ``'0'``, length);` `    ``}` `    `  `    ``// Converting string to integer` `    ``int` `number = ``int``.Parse(st);` `    `  `    ``// Comparing number and sum` `    ``if` `(number == sum)` `        ``return` `"yes"``;` `    ``else` `        ``return` `"no"``;` `}`   `// Driver Code` `public` `static` `void` `Main(``string` `[]args)` `{` `    ``string` `st = ``"153"``;` `    ``Console.Write(getResult(st));` `}` `}`   `// This code is contributed by pratham76.`

Javascript

 ``

Output

`yes`

Time Complexity: O(nlogn)

Auxiliary Space: O(1)

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