167.cpp

// CPP program for Finite Automata Pattern searching
// Algorithm
#include <bits/stdc++.h>
using namespace std;
#define NO_OF_CHARS 256

int getNextState(string pat, int M, int state, int x)
{
	// If the character c is same as next character
	// in pattern,then simply increment state
	if (state < M && x == pat[state])
		return state+1;

	// ns stores the result which is next state
	int ns, i;

	// ns finally contains the longest prefix
	// which is also suffix in "pat[0..state-1]c"

	// Start from the largest possible value
	// and stop when you find a prefix which
	// is also suffix
	for (ns = state; ns > 0; ns--)
	{
		if (pat[ns-1] == x)
		{
			for (i = 0; i < ns-1; i++)
				if (pat[i] != pat[state-ns+1+i])
					break;
			if (i == ns-1)
				return ns;
		}
	}

	return 0;
}

/* This function builds the TF table which represents4
	Finite Automata for a given pattern */
void computeTF(string pat, int M, int TF[][NO_OF_CHARS])
{
	int state, x;
	for (state = 0; state <= M; ++state)
		for (x = 0; x < NO_OF_CHARS; ++x)
			TF[state][x] = getNextState(pat, M, state, x);
}

/* Prints all occurrences of pat in txt */
void search(string pat, string txt)
{
	int M = pat.size();
	int N = txt.size();

	int TF[M+1][NO_OF_CHARS];

	computeTF(pat, M, TF);

	// Process txt over FA.
	int i, state=0;
	for (i = 0; i < N; i++)
	{
		state = TF[state][txt[i]];
		if (state == M)
			cout<<" Pattern found at index "<< i-M+1<<endl;
	}
}

// Driver program to test above function
int main()
{
	string txt = "AABAACAADAABAAABAA";
	string pat = "AABA";
	search(pat, txt);
	return 0;
}