@Amitava: I think test cases 4 and 6 are incorrect. Could you please verify the same?
@Amitava: please ignore my previous comment. Cheers.
Neighbors are more than adjacents. The first and last elements are considered adjacent. Thus [ABAABA] is not a spindrome as it becomes ...AABAABAA...
However [ABA] is a spindrome even though it also becomes ...AABAABAA...
System of equations
Permute diagonal and antidiagonal
How many palindromes?
count any radix?
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