Count all palindromic substrings
Problem Description
Given a string s, determine the total number of palindromic substrings it contains.
A substring is defined as a contiguous sequence of characters within the original string. A palindrome is a string that reads the same forwards and backwards.
All palindromic substrings must be counted, even if they are identical in content but appear at different positions within the string.
Constraints
- The length of the input string
swill be between 1 and 2000 characters, inclusive (1 <= |s| <= 2000). - An
O(n^2)time complexity solution is generally considered acceptable for this constraint.
AI interview prep
Core dilemma
Efficiently identifying and counting all palindromic substrings within a given string, balancing computational complexity with correctness for overlapping subproblems and varying palindrome lengths.
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Interview prep
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Count all palindromic substrings
Problem Description
Given a string s, determine the total number of palindromic substrings it contains.
A substring is defined as a contiguous sequence of characters within the original string. A palindrome is a string that reads the same forwards and backwards.
All palindromic substrings must be counted, even if they are identical in content but appear at different positions within the string.
Constraints
- The length of the input string
swill be between 1 and 2000 characters, inclusive (1 <= |s| <= 2000). - An
O(n^2)time complexity solution is generally considered acceptable for this constraint.