Hafeezul Kareem has Published 328 Articles

Nesbitt’s Inequality in C++

Hafeezul Kareem

Hafeezul Kareem

Updated on 23-Oct-2021 17:42:01

230 Views

The nesbitt's inequality is (a/(b + c)) + (b/(c + a)) + (c/(a + b))>= 1.5, a > 0, b > 0, c > 0Given three number, we need to check whether the three numbers satisfy Nesbitt's inequality or not.We can test whether three number are satisfied nesbitt's inequality or ... Read More

Neon Number in C++

Hafeezul Kareem

Hafeezul Kareem

Updated on 23-Oct-2021 08:01:01

3K+ Views

A neon number is a number where the sum of digits of the square of the number is equal to the number. Let's take an example.n = 9square = 81sum of digits of square = 8 + 1 = 9So, the number 9 is a neon number.We need to check ... Read More

Nearest prime less than given number n C++

Hafeezul Kareem

Hafeezul Kareem

Updated on 23-Oct-2021 07:54:29

1K+ Views

We are given a number n, we need to find the nearest prime number that is less than n. We can find the number easily if we start checking from the n - 1. Let's see some examples.Input10Output7AlgorithmInitialise the number n.Write a loop that iterates from n - 1 to ... Read More

Narayana number in C++

Hafeezul Kareem

Hafeezul Kareem

Updated on 23-Oct-2021 07:11:21

194 Views

The Narayana numbers can be expressed in terms of binomial expression $1/n\binom{n}{k} \binom{n}{k-1}$  Learn more about the Narayana number here.You are given the numbers n and k. Find the Narayana number. It's a straightforward problem having the combinations formula. Let's see the code.AlgorithmInitialise the numbers n and k.Find the Narayana ... Read More

N’th Smart Number in C++

Hafeezul Kareem

Hafeezul Kareem

Updated on 23-Oct-2021 06:31:40

211 Views

A smart number is a number that contains at least three distinct prime factors. You are given a number N. Find the n-th smart number.The smart number series are30, 42, 60, 66, 70, 78...AlgorithmInitialise the number N.Initialise the count to 0.Write a function that checks whether the given number is ... Read More

n’th Pentagonal Number in C++

Hafeezul Kareem

Hafeezul Kareem

Updated on 22-Oct-2021 11:04:32

311 Views

In this tutorial, we are going to write a program that finds the n-th pentagonal number.A pentagonal number is a number represented as dots or pebbles arranged in the shape of a regular polygon. Refer to the wiki for better understanding.The n-th pentagonal number is (3 * n * n ... Read More

N’th palindrome of K digits in C++

Hafeezul Kareem

Hafeezul Kareem

Updated on 22-Oct-2021 10:36:22

468 Views

To find the n-th palindrome of k digits, we can iterate from the first k digits number till we find the n-th palindrome number. This approach is not efficient. You can try it yourself.Now, let's see the efficient approach to find the n-th palindrome of k digits.There are two halves ... Read More

n-th term of series 1, 17, 98, 354…… in C++

Hafeezul Kareem

Hafeezul Kareem

Updated on 22-Oct-2021 09:53:36

178 Views

The given series is 1, 17, 98, 354...If you clearly observe the series, you will find that the n-th number is equal to the 4 powers.Let's see the pattern. 1 = 1 ^ 4 17 = 1 ^ 4 + 2 ^ 4 98 = 1 ^ 4 + 2 ... Read More

N-th term in the series 1, 11, 55, 239, 991,…in C++

Hafeezul Kareem

Hafeezul Kareem

Updated on 22-Oct-2021 08:03:47

115 Views

The given series is 1, 11, 55, 239, 991...If you clearly observe the series, you will find that the n-th number is 4n-2n-1.AlgorithmInitialise the number N.Use the series formula to compute the n-th term.Print the result.ImplementationFollowing is the implementation of the above algorithm in C++#include using namespace std; int ... Read More

n-th term in series 2, 12, 36, 80, 150….in C++

Hafeezul Kareem

Hafeezul Kareem

Updated on 22-Oct-2021 07:46:48

178 Views

The given series is 2, 12, 36, 80, 150...If you clearly observe the series, you will find that the n-th number is n2 + n3.AlgorithmInitialise the number N.Use the series formula to compute the n-th term.Print the result.ImplementationFollowing is the implementation of the above algorithm in C++#include using ... Read More

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