Given a number N, the task is to check if N is a Centered Tridecagonal Number or not. If the number N is a Centered Tridecagonal Number then print “Yes” else print “No”.
Centered tridecagonal number represents a dot at the center and other dots surrounding the center dot in the successive tridecagonal(13 sided polygon) layer. The first few Centered tridecagonal numbers are 1, 14, 40, 79 …
Input: N = 14
Second Centered tridecagonal number is 14.
Input: N = 30
1. The Kth term of the Centered Tridecagonal Number is given as
2. As we have to check that the given number can be expressed as a Centered Tridecagonal 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 Tridecagonal Number.
4. Else the number N is not a Centered Tridecagonal Number.
Below is the implementation of the above approach:
Time Complexity: O(1)
Auxiliary Space: O(1)
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