Page 76 - Algorithms Notes for Professionals
P. 76
f[0]=0;f[1]=1;
for(int i=2;i<=n;i++){
f[i]=f[i-1]+f[i-2];
}
return f[n];
}
Time Complexity
O(n)
Section 14.5: Longest Common Substring
Given 2 string str1 and str2 we have to find the length of the longest common substring between them.
Examples
Input : X = "abcdxyz", y = "xyzabcd" Output : 4
The longest common substring is "abcd" and is of length 4.
Input : X = "zxabcdezy", y = "yzabcdezx" Output : 6
The longest common substring is "abcdez" and is of length 6.
Implementation in Java
public int getLongestCommonSubstring(String str1,String str2){
int arr[][] = new int[str2.length()+1][str1.length()+1];
int max = Integer.MIN_VALUE;
for(int i=1;i<=str2.length();i++){
for(int j=1;j<=str1.length();j++){
if(str1.charAt(j-1) == str2.charAt(i-1)){
arr[i][j] = arr[i-1][j-1]+1;
if(arr[i][j]>max)
max = arr[i][j];
}
else
arr[i][j] = 0;
}
}
return max;
}
Time Complexity
O(m*n)
colegiohispanomexicano.net – Algorithms Notes 72
