Rabin-Karp Algorithm: The Rabin-Karp algorithm is a string matching algorithm based on the idea of hash functions. It operates as follows: - It takes a stri...
Rabin-Karp Algorithm:
The Rabin-Karp algorithm is a string matching algorithm based on the idea of hash functions. It operates as follows:
It takes a string 's' as input and calculates a hash value for it using a hash function.
It then compares the hash value to a hash value of an expected pattern 'p'.
If the two values match, it means that the string 's' matches the pattern 'p'.
The time complexity of the Rabin-Karp algorithm is O(n), where n is the length of the string.
Knuth-Morris-Pratt Algorithm:
The Knuth-Morris-Pratt algorithm is another string matching algorithm based on the idea of linear search. It operates as follows:
It takes a string 's' as input and iterates through all the characters in the string.
For each character, it creates a hash value for the substring of the string starting from that character.
It then checks if the hash value of the substring matches the hash value of the entire string.
If the two values match, it means that the string 's' matches the substring.
The time complexity of the Knuth-Morris-Pratt algorithm is O(n), where n is the length of the string.
Comparison:
The Rabin-Karp algorithm is more efficient than the Knuth-Morris-Pratt algorithm, but it has a higher false positive rate. The Knuth-Morris-Pratt algorithm is more efficient than the Rabin-Karp algorithm, but it has a higher false positive rate. Both algorithms are widely used in string matching applications