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Given a string of characters, find the length of the longest proper prefix which is also a proper suffix.
Example 1:
Input: s = "abab" Output: 2 Explanation: "ab" is the longest proper prefix and suffix.
Example 2:
Input: s = "aaaa" Output: 3 Explanation: "aaa" is the longest proper prefix and suffix.
Your task:
You do not need to read any input or print anything. The task is to complete the function lps(), which takes a string as input and returns an integer.
Expected Time Complexity: O(|str|)
Expected Auxiliary Space: O(|str|)
Constraints:
1 ≤ |s| ≤ 105
s contains lower case English alphabets
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