<s>[INST] Can you tell me the idea behind the Knuth-Morris-Pratt string matching algorithm? [/INST] The Knuth-Morris-Pratt (KMP) algorithm is a string searching algorithm. It solves the problem of finding occurrences of a "word" W within a "text" S.
The key idea is that it uses the information it gains from matching characters to skip sections of the text, making it more efficient than naive approaches.
It does this by:

Building a "partial match table" based on the word W
Whenever a mismatch occurs, it uses the table to determine how far to skip in the text (instead of just skipping 1 character)

This allows it to quickly "recover" from mismatches and often skip large sections of the text, making it very efficient.
The end result is an algorithm with linear time complexity (proportional to the lengths of the input strings).

So in short, the key insight is to pre-compute information from the word and use that to efficiently "recover" from mismatches and skip sections of the text, making it faster than naive approaches.</s>