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RABIN-KARP ALGORITHM
INTRODUCTION:-
Rabin–Karp algorithm or Karp–Rabin algorithm is a string
searching algorithm created by Richard M.Karp and Michael
O.Rabin (1987) .
Richard Manning Karp
Born: January 3, 1935
Michael Oser Rabin
Born: September 1, 1931
EXAMPLE:-
Rabin–Karp algorithm or Karp–Rabin algorithm is a string
searching algorithm that uses hashing to find any one of a set of
pattern strings in a text.
DEFINITION:-
Text: [3141592653………………9451] Total size =97
Pattern: 59265
Output:-
59265 found at point [5].
WORKING:-
Rabin-Karp algorithm makes small pieces of the statement according to the size of the
pattern we want to find.
Let’s take the example shown in the previous slide.
Text T (3141592653………………9451)
Hash H(ninety seven)
Pattern P(59265)
59265 % 97=95
P mod H
PROCESSING:-
Search Pattern
5 9 2 6 5
31415 % 97=84
14159 % 97=94
41592 % 97=76
15926 % 97=18
59265 % 97=95
CODE :-
#define d 10
void RabinKarpStringMatch(char *Text, char *Pattern, int Number)
{
int M,N,h,P=0,T=0, TempT, TempP;
int i,j;
M = strlen(Pattern);
N = strlen(Text);
h = (int)pow(d,M-1) % Number;
for(i=0;i<M;i++)
{
P = ((d*P) + ((int)Pattern[i])) % Number;
TempT = ((d*T) + ((int)Text[i]));
T = TempT % Number;
}
for(i=0;i<=N-M;i++) {
// d has value 10
// initializing some integers
// hashing formula
// outer for loop
// Inner for loop
for(i=0;i<=N-M;i++)
{
if(P==T)
{
for(j=0;j<M;j++)
if(Text[i+j] != Pattern[j])
break;
if(j == M)
printf("nPattern Found at Position : %d",i+1);
TempT =((d*(T - Text[i]*h)) + ((int)Text[i+M]));
T = TempT % Number;
if(T<0)
T=T+Number;
}
// Another inner for loop
// if statement works if pattern is found in the text
// Third inner for loop
// If this is statement gets true then
its body prints the pattern position.
TIME COMPLEXITY :-
Hash function depends upon the size of M characters.
Θ(MN)

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Rabin Karp Algorithm

  • 2. INTRODUCTION:- Rabin–Karp algorithm or Karp–Rabin algorithm is a string searching algorithm created by Richard M.Karp and Michael O.Rabin (1987) . Richard Manning Karp Born: January 3, 1935 Michael Oser Rabin Born: September 1, 1931
  • 3. EXAMPLE:- Rabin–Karp algorithm or Karp–Rabin algorithm is a string searching algorithm that uses hashing to find any one of a set of pattern strings in a text. DEFINITION:- Text: [3141592653………………9451] Total size =97 Pattern: 59265 Output:- 59265 found at point [5].
  • 4. WORKING:- Rabin-Karp algorithm makes small pieces of the statement according to the size of the pattern we want to find. Let’s take the example shown in the previous slide. Text T (3141592653………………9451) Hash H(ninety seven) Pattern P(59265) 59265 % 97=95 P mod H
  • 5. PROCESSING:- Search Pattern 5 9 2 6 5 31415 % 97=84 14159 % 97=94 41592 % 97=76 15926 % 97=18 59265 % 97=95
  • 6. CODE :- #define d 10 void RabinKarpStringMatch(char *Text, char *Pattern, int Number) { int M,N,h,P=0,T=0, TempT, TempP; int i,j; M = strlen(Pattern); N = strlen(Text); h = (int)pow(d,M-1) % Number; for(i=0;i<M;i++) { P = ((d*P) + ((int)Pattern[i])) % Number; TempT = ((d*T) + ((int)Text[i])); T = TempT % Number; } for(i=0;i<=N-M;i++) { // d has value 10 // initializing some integers // hashing formula // outer for loop // Inner for loop
  • 7. for(i=0;i<=N-M;i++) { if(P==T) { for(j=0;j<M;j++) if(Text[i+j] != Pattern[j]) break; if(j == M) printf("nPattern Found at Position : %d",i+1); TempT =((d*(T - Text[i]*h)) + ((int)Text[i+M])); T = TempT % Number; if(T<0) T=T+Number; } // Another inner for loop // if statement works if pattern is found in the text // Third inner for loop // If this is statement gets true then its body prints the pattern position.
  • 8. TIME COMPLEXITY :- Hash function depends upon the size of M characters. Θ(MN)