Longest Prefix Suffix
Medium Accuracy: 29.11% Submissions: 1315 Points: 4

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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