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Count of Palindromic substrings in an Index range
Medium Accuracy: 43.21% Submissions: 250 Points: 4

Given a string S of lowercase english alphabetic characters and a substring range starting from q1 and ending at q2, the task is to find out the count of palindromic substrings in the given substring range.

Example 1:

Input:
N = 7 
S = "xyaabax"
q1 = 3
q2 = 5
Output: 4
Explanation: The substring in the given range 
is "aba". Hence, the palindromic substrings are:
"a", "b", "a" and "aba".

​Example 2:

Input: 
N = 7
S = "xyaabax" 
q1 = 2 
q2 = 3. 
Output: 3
Explanation: The substring in the given range
is "aa". Hence, the palindromic substrings are: 
"a", "a" and "aa".

Your Task:
You don't need to read input or print anything. Your task is to complete the function countPalinInRange() which takes the string S, its length N and the range variables q1 and q2 as input parameters and returns the count of the Palindromic substrings in the given substring range.

Expected Time Complexity: O(|S|2).
Expected Auxiliary Space: O(1).

Constraints:
1 ≤ |S| ≤ 1000
0 ≤ q1, q2 < |S|

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Count of Palindromic substrings in an Index range

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