Given a number N, the task is to check if N is a Enneadecagonal Number or not. If the number N is an Enneadecagonal Number then print “Yes” else print “No”.
Enneadecagonal Number is a 19-sided polygon in mathematics. It belongs to a class of figurative number. The number contains the number of dots and the dots are arranged in a pattern or series. An Enneadecagonal Number is also known as Nonadecagon. The dots have common points and all other dots are arrange in the successive layer. The nth Enneadecagonal Number counts the seventeen number of dots and all the other dots are surrounding with a common sharing corner and make a pattern. The first few Enneadecagonal Numbers are 1, 19, 54, 106, 175…
Input: N = 19
Second Enneadecagonal Number is 19.
Input: N = 30
- The Kth term of the Enneadecagonal Number is given as
- As we have to check that the given number can be expressed as a Enneadecagonal Number or not. This can be checked as:
- If the value of K calculated using the above formula is an integer, then N is a Enneadecagonal Number.
- Else N is not a Enneadecagonal Number.
Below is the implementation of the above approach:
Attention reader! Don’t stop learning now. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready.
If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to email@example.com. See your article appearing on the GeeksforGeeks main page and help other Geeks.
Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.