Is there a faster way than O(N*M) nested loops?
Yes, advanced algorithms like the KMP (Knuth-Morris-Pratt) algorithm preprocess the string to achieve O(N + M) linear time search.
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More FAQs in Nested Loops in Brute-Force String Matching
It is an algorithm designed to find if a smaller string (needle) exists completely contiguous within a larger string (haystack).
The outer loop iterates through the haystack to set a starting point. The inner loop iterates through the needle to check if all characters match from that starting point.
The variable 'i' is the anchor point in the haystack. The variable 'j' is the offset. Adding them together allows the inner loop to scan forward in the haystack.
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