Given a number N, the task is to check if N is a Centered Hexadecagonal Number or not. If the number N is a Centered Hexadecagonal Number then print “Yes” else print “No”.
Centered Hexadecagonal Number represents a dot in the centre and other dots around it in successive Hexadecagonal(16 sided polygon) layers… The first few Centered Hexadecagonal Numbers are 1, 17, 49, 97, 161, 241 …
Input: N = 17
Second Centered hexadecagonal number is 17.
Input: N = 20
1. The Kth term of the Centered Hexadecagonal Number is given as
2. As we have to check that the given number can be expressed as a Centered Hexadecagonal Number or not. This can be checked as:
3. If the value of K calculated using the above formula is an integer, then N is a Centered Hexadecagonal Number.
4. Else the number N is not a Centered Hexadecagonal Number.
Below is the implementation of the above approach:
Time Complexity: O(1)
Auxiliary Space: O(1)
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