Queen of westeros is known for her dragons and magic. To control her dragons she speaks random but powerful words. The strength of her words can be predicted by a strange rule. Rule : strength of a word is sum of square of size of palindromic substrings in the word. To recall the definition of palindrome, palindrome is a word which reads same when read forward and backward. For example, word "abaa" has 6 palindromic substrings. "aba","aa","a","b","a","a" with sizes 3,2,1,1,1,1 respectively. Their squares are 9,4,1,1,1,1. Hence total strength is 17. Given a queens word ind its strength.
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let say word queen speak
LEVEL
palindrome here
LEVEL - 5
EVE - 3
L - 1
E - 1
V - 1
E - 1
L - 1
5^2 = 25
3^2 = 9
1^2 = 1
sum = 25 + 9 + 1 + 1 + 1 + 1 + 1 = 39
strength of Level = 39
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