Given an integer N, the task is to check if N is a Centered Decagonal Number or not. If the number N is a Centered Decagonal Number then print “Yes” else print “No”.
Centered Decagonal Number is centered figurative number that represents a decagon with dot in center and all other dot surrounding it in successive Decagonal Number form. The first few Centered decagonal numbers are 1, 11, 31, 61, 101, 151 …
Input: N = 11
Second Centered decagonal number is 11.
Input: N = 30
1. The Kth term of the Centered Decagonal Number is given as
2. As we have to check that the given number can be expressed as a Centered Decagonal Number or not. This can be checked as follows:
3. If the value of K calculated using the above formula is an integer, then N is a Centered Decagonal Number.
4. Else the number N is not a Centered Decagonal Number.
Below is the implementation of the above approach:
Time Complexity: O(1)
Auxiliary Space: O(1)
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. To complete your preparation from learning a language to DS Algo and many more, please refer Complete Interview Preparation Course.
In case you wish to attend live classes with industry experts, please refer Geeks Classes Live