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@gabhi
Created April 24, 2014 07:28
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length of longest common substring
/* Dynamic Programming solution to find length of the longest common substring */
#include<iostream>
#include<string.h>
using namespace std;
// A utility function to find maximum of two integers
int max(int a, int b)
{ return (a > b)? a : b; }
/* Returns length of longest common substring of X[0..m-1] and Y[0..n-1] */
int LCSubStr(char *X, char *Y, int m, int n)
{
// Create a table to store lengths of longest common suffixes of
// substrings. Notethat LCSuff[i][j] contains length of longest
// common suffix of X[0..i-1] and Y[0..j-1]. The first row and
// first column entries have no logical meaning, they are used only
// for simplicity of program
int LCSuff[m+1][n+1];
int result = 0; // To store length of the longest common substring
/* Following steps build LCSuff[m+1][n+1] in bottom up fashion. */
for (int i=0; i<=m; i++)
{
for (int j=0; j<=n; j++)
{
if (i == 0 || j == 0)
LCSuff[i][j] = 0;
else if (X[i-1] == Y[j-1])
{
LCSuff[i][j] = LCSuff[i-1][j-1] + 1;
result = max(result, LCSuff[i][j]);
}
else LCSuff[i][j] = 0;
}
}
return result;
}
/* Driver program to test above function */
int main()
{
char X[] = "OldSite:GeeksforGeeks.org";
char Y[] = "NewSite:GeeksQuiz.com";
int m = strlen(X);
int n = strlen(Y);
cout << "Length of Longest Common Substring is " << LCSubStr(X, Y, m, n);
return 0;
}
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