Develop Reference

Longest Most Common Substring Based on Whole-Word Phrases

I've been doing a lot of research around this topic and can't quite crack this one easily. There are a lot of valuable solutions I've come across online for solving this problem based on characters, but how would you solve this problem based on whole-word phrases to avoid the result returning a phrase that contains a partial word at the start or end of the phrase?
For example, given an Array of Strings, the output would be the most common whole-word phrase that is contained in most (not all) of the Strings within the Array.
This example below is the closest I've found so far but it only works about half of the time and includes partial word results which isn't quite what I'm after. I'm sure someone has solved this one before.
// function to find the stem (longest common
// substring) from the string array
public static String findstem(String arr[])
{
// Determine size of the array
int n = arr.length;
// Take first word from array as reference
String s = arr[0];
int len = s.length();
String res = "";
for (int i = 0; i < len; i++) {
for (int j = i + 1; j <= len; j++) {
// generating all possible substrings
// of our reference string arr[0] i.e s
String stem = s.substring(i, j);
int k = 1;
for (k = 1; k < n; k++)
// Check if the generated stem is
// common to all words
if (!arr[k].contains(stem))
break;
// If current substring is present in
// all strings and its length is greater
// than current result
if (k == n && res.length() < stem.length())
res = stem;
}
}
return res;
}
// Driver Code
public static void main(String args[])
{
String arr[] = { "grace", "graceful", "disgraceful",
"gracefully" };
String stems = findstem(arr);
System.out.println(stems);
}

Does this do what you intended. It simply checks to see if any word is a substring of itself and others.
If you want to check for real word substrings you would need to reference some dictionary which would be very time consuming.
String arr[] = { "grace", "graceful", "disgraceful",
"gracefully" };
String save = "";
int count = 0;
for (int i = 0; i < arr.length && count != arr.length; i++) {
count = 0;
for (int k = 0; k < arr.length; k++) {
if (arr[k].contains(arr[i])) {
count++;
save = arr[i];
}
}
}
System.out.println(save);

I'm not able to sort the splited strings properly using comparedTo method. What can I do to correct it?

This is my code, but I know this is not right. I have written a lot of code for such a simple task.
Sample input is:
welcome
Sample output is:
com
elc
lco
ome
wel
It should print:
your first string is 'com'
and
your last string is 'wel'
Code:
import java.io.*;
import java.util.*;
public class Solution {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
String str = sc.nextLine();
int k = sc.nextInt();
int k1 = k;
int j = 0;
int t = str.length();
String [] s = new String [1000];
for (int i = t, a = 0; i >= k; i--, a++) {
s[a] = str.substring(j, k1);
j++;
k1++;
}
String[] s1 = new String[j];
for (int i = 0 ; i < j; i++) {
s1[i] = s[i];
}
for (int y = 0; y < j; y++) {
for (int z = y + 1; z < j; z++) {
if(s1[z].compareTo(s1[y]) < 0) {
String temp = s1[z];
s1[z] = s1[y];
s1[y] = temp;
}
}
}
System.out.println(s1[0]);
System.out.println(s1[1]);
}
}
Note: I split my strings, but I'm not able to arrange strings in alphabetical order, and feel that I have used a lot of arrays. Is there a better way to do this?

You can
reduce the number of variables,
use collections (list in this case) instead of Arrays to avoid having to set a size (1000)
Sort using the framework
Scanner sc = new Scanner(System.in);
String str = sc.nextLine();
int k = sc.nextInt();
List<String> cutStrings = new ArrayList<String>();
for (int i = 0; i < str.length() - k; i++) {
cutStrings.add(str.substring(i, i + k));
}
Collections.sort(cutStrings);
System.out.println(cutStrings.get(0));
System.out.println(cutStrings.get(cutStrings.size()-1));
}

You can easily sort your String[] array by simply using
Arrays.sort(s);
This will sort your strings in the default order. If you need any other kind of order you can pass the comparator as a second parameter.
You can get first and last by getting s[0] and s[s.length-1]

I did a quick implementation of your requirements. It might not be exactly what you're looking for but it should get you started. :)
So, I used an ArrayList to grab the substrings and the use the Collections library to do the sorting for me. This is just one of the many ways of solving the problem, btw. The input word can vary in size so I felt that a list would be appropriate for this situation.
String s = "welcome";
List<String> words = new ArrayList<String>();
for (int i = 0; i < s.length() - 2; i++) {
String chunk = s.charAt(i) + "" + s.charAt(i + 1) + ""
+ s.charAt(i + 2);
words.add(chunk);
System.out.println(chunk);
}
Collections.sort(words);
System.out.println(words.toString());
Feel free to let me know if you have any questions or if I have made a mistake in the code.
Good luck!

Actual problem of your code is splitting. Sorting will work. If j value 1 and k1 value 3 then wel substring is coming. Next loop, (after incrementation of both j and k1 by 1) j value 2 and k1 value 4 then elc substring is coming, etc.
So, instead of
String [] s = new String [1000];
for (int i = t, a = 0; i >= k; i--, a++) {
s[a] = str.substring(j, k1);
j++;
k1++;
}
use
int k = sc.nextInt();
String [] s = new String [(str.length()/3)+1] ;
for ( int i = 0,a = 0; i<(str.length()-k); i+=k,a++)
{
s[a] = str.substring(i,(i+k));
System.out.println(s[a]);
}
s[s.length-1]=str.substring((str.length()-k),str.length());//to add remaining values
Arrays.sort(s);//sorting alphabatically
for(int i = 0; i < s.length; i++)
System.out.println(s[i]);
}
i value will be incremented by 3. In the for loop (i+=k) where k=3.
Output:
amp
com
e s
ple
wel

Trie Data Structure in Finding an Optimal Solution

This Question is part of ongoing Competition , I have solved the 75% of this Question Data Set but the 25% is giving me TLE. I am asking why it's is giving TLE an i am sure my complexity is O(n*n)Question:
String S consisting of N lowercase English alphabets. We has prepared a list L consisting of all non empty substrings of the string S.
Now he asks you Q questions. To ith question, you need to count the number of ways to choose exactly Ki equal strings from the list L
For Example:
String = ababa
L = {"a", "b", "a", "b", "a", "ab", "ba", "ab", "ba", "aba", "bab", "aba", "abab", "baba", "ababa"}.
k1 = 2: There are seven ways to choose two equal strings ("a", "a"), ("a", "a"), ("a", "a"), ("b", "b"), ("ab", "ab"), ("ba", "ba"), ("aba", "aba").
k2 = 1: We can choose any string from L (15 ways).
k3 = 3: There is one way to choose three equal strings - ("a", "a", "a").
k4 = 4: There are no four equal strings in L .
Question LINK
My approach
I am making a TRIE of IT and Calculating The and Array F[i] where F[i] represent the number of times i equal String Occur.
My TRIE:
static class Batman{
int value;
Batman[] next = new Batman[26];
public Batman(int value){
this.value = value;
}
}
MY Insert Function
public static void Insert(String S,int[] F , int start){
Batman temp = Root;
for(int i=start;i<S.length();i++){
int index = S.charAt(i)-'a';
if(temp.next[index]==null){
temp.next[index] = new Batman(1);
F[1]+=1;
}else{
temp.next[index].value+=1;
int xx = temp.next[index].value;
F[xx-1]-=1;
F[xx]+=1;
// Calculating The Frequency of I equal Strings
}
temp = temp.next[index];
}
}
MY MAIN FUNCTION
public static void main(String args[] ) throws java.lang.Exception {
Root = new Batman(0);
int n = in.nextInt();
int Q = in.nextInt();
String S = in.next();
int[] F = new int[n+1];
for(int i=0;i<n;i++)
Insert(S,F,i);
long[] ans = new long[n+1];
for(int i=1;i<=n;i++){
for(int j=i;j<=n;j++){
ans[i]+= F[j]*C[j][i]; // C[n][k] is the Binomial Coffecient
ans[i]%=mod;
}
}
while(Q>0){
Q--;
int cc = in.nextInt();
long o =0;
if(cc<=n) o=ans[cc];
System.out.println(o+" "+S.length());
}
}
Why My appraoch is giving TLE as time Complexity is O(N*N) ans the length of String is N<=5000. Please Help me Working CODE

One reason this program get TLE (keep in mind that time constraint is 1 sec):
Each time you create a Batman object, it will create an array with length [26], and it is equivalence to adding a loop with n = 26.
So, you time complexity is 26*5000*5000 = 650000000 = 6.5*10^8 operations, theoretically, it can still fit into time limit if CPU speed is 10^9 operations per sec, but also keep in mind that there are some heavy calculation stuffs after this, so, this should be the reason.
To solve this problem, I used Z-algorithm and get accepted: Link
The actual code is quite complex, so the idea is, you have a table count[i][j], which is the number of substring that matched substring (i, j). Using Z-algorithm, you can have a time complexity of O(n^2).
For each string s:
int n = in.nextInt();
int q = in.nextInt();
String s = in.next();
int[][] cur = new int[n][];
int[][] count = new int[n][n];
int[] length = new int[n];
for (int i = 0; i < n; i++) {
cur[i] = Z(s.substring(i).toCharArray());//Applying Z algorithm
for (int j = 1; j < cur[i].length; j++) {
if (cur[i][j] > length[j + i]) {
for (int k = i + length[j + i]; k < i + cur[i][j]; k++) {
count[i][k]++;
}
length[j + i] = cur[i][j];
}
}
}
int[] F = new int[n + 1];
for(int i = 0; i < n; i++){
for(int j = i; j < n; j++){
int v = count[i][j] + (length[i] < (j - i + 1) ? 1 : 0);
F[v]++;
}
}
Z-algorithm method:
public static int[] Z(char[] s) {
int[] z = new int[s.length];
int n = s.length;
int L = 0, R = 0;
for (int i = 1; i < n; i++) {
if (i > R) {
L = R = i;
while (R < n && s[R - L] == s[R])
R++;
z[i] = R - L;
R--;
} else {
int k = i - L;
if (z[k] < R - i + 1) {
z[i] = z[k];
} else {
L = i;
while (R < n && s[R - L] == s[R])
R++;
z[i] = R - L;
R--;
}
}
}
return z;
}
Actual code: http://ideone.com/5GYWeS
Explanation:
First, we have an array length, with length[i] is the longest substring that matched with the string start from index i
For each index i, after calculate the Z function, we see that, if cur[i][j] > length[j + i], which means, there exists one substring longer than previous substring matched at index j + i, and we havent counted them in our result, so we need to count them.
So, even there are 3 nested for loop, but each substring is only counted once, which make this whole time complexity is O(n ^2)
for (int j = 1; j < cur[i].length; j++) {
if (cur[i][j] > length[j + i]) {
for (int k = i + length[j + i]; k < i + cur[i][j]; k++) {
count[i][k]++;
}
length[j + i] = cur[i][j];
}
}
For below loop, we notice that, if there is a matched for substring (i,j), length[i] >= length of substring (i,j), but if there is no matched, we need to add 1 to count substring (i,j), as this substring is unique.
for(int j = i; j < n; j++){
int v = count[i][j] + (length[i] < (j - i + 1) ? 1 : 0);
F[v]++;
}

Inserting number into random array

I need some help inserting the number 8 into an array that gives me random values. The array must be in order. For example if I had an array of (1,5,10,15), I have to insert the number 8 between 5 and 10. I am having a problem on how I can figure our a way to find the index where 8 will be placed because the array is random, it can be anything. Here is my code so far :
public class TrickyInsert {
public static void main(String[] args) {
int[] mysteryArr = generateRandArr();
//print out starting state of mysteryArr:
System.out.print("start:\t");
for ( int a : mysteryArr ) {
System.out.print( a + ", ");
}
System.out.println();
//code starts below
// insert value '8' in the appropriate place in mysteryArr[]
int[] tmp = new int[mysteryArr.length + 1];
int b = mysteryArr.length;
for(int i = 0; i < mysteryArr.length; i++) {
tmp[i] = mysteryArr[i];
}
tmp[b] = 8;
for(int i =b ; i<mysteryArr.length; i++) {
tmp[i+1] = mysteryArr[i];
}
mysteryArr = tmp;
any tips? thanks!

Simply add the number then use Arrays.sort method,
int b = mysteryArr.length;
int[] tmp = new int[b + 1];
for(int i = 0; i < b; i++) {
tmp[i] = mysteryArr[i];
}
tmp[b] = 8;
mysteryArr = Arrays.sort(tmp);

In your example the random array is sorted. If this is the case, just insert 8 and sort again.

Simply copy the array over, add 8, and sort again.
int[] a = generateRandArr();
int[] b = Arrays.copyOf(a, a.length + 1);
b[a.length] = 8;
Arrays.sort(b);

int findPosition(int a, int[] inputArr)
{
for(int i = 0; i < inputArr.length; ++i)
if(inputArr[i] < a)
return i;
return -1;
}
int[] tmpArr = new int[mysteryArr.length + 1];
int a = 8; // or any other number
int x = findPosition(a, mysteryArr);
if(x == -1)
int i = 0;
for(; i < mysteryArr.length; ++i)
tmpArr[i] = mysteryArr[i];
tmpArr[i] = a;
else
for(int i = 0; i < mysteryArr.length + 1; ++i)
if(i < x)
tmpArr[i] = mysteryArr[i];
else if(i == x)
tmpArr = a;
else
tmpArr[i] = mysteryArr[i - 1];

I will suggest using binary search to find the appropriate index. Once you locate the index, you can use
System.arraycopy(Object src, int srcIndex, Obj dest, int destIndex, int length)
to copy the left half to your new array (with length one more than the existing one) and then the new element and finally the right half. This will stop the need to sort the whole array every time you insert an element.
Also, the following portion does not do anything.
for(int i =b ; i<mysteryArr.length; i++) {
tmp[i+1] = mysteryArr[i];
}
since int b = mysteryArr.length;, after setting int i =b ;, i<mysteryArr.length; will be false and hence the line inside this for loop will never execute.

Create an int array of int arrays that contains all possible sums that add up to a given number

I'm completely new in Java. I am writing an Android game, and I need to generate an array of int arrays that contains all possible sums (excluding combinations that contains number 2 or is bigger than 8 numbers) that add up to a given number.
For example:
ganeratePatterns(5) must return array
[patternNumber][summandNumber] = value
[0][0] = 5
[1][0] = 1
[1][1] = 1
[1][2] = 1
[1][3] = 1
[1][4] = 1
[2][0] = 3
[2][1] = 1
[2][2] = 1
[3][0] = 4
[3][1] = 1
I already try to do this like there Getting all possible sums that add up to a given number
but it's very difficult to me to make it like this http://introcs.cs.princeton.edu/java/23recursion/Partition.java.html
Solution
int n = 10;
int dimension = 0;
//First we need to count number of posible combinations to create a 2dimensionarray
for(List<Integer> sumt : new SumIterator(n)) {
if(!sumt.contains(2) && sumt.size() < 9) {
dimension++;
}
}
int[][] combinationPattern = new int[dimension][];
int foo = 0;
for(List<Integer> sum : new SumIterator(n)) {
if(!sum.contains(2) && sum.size() < 9) {
System.out.println(sum);
combinationPattern[foo] = toIntArray(sum);
foo++;
}
}
It's work not 100% correctly, and very pretty, but it is enough for my game
I have used SumIterator class from here SumIterator.class
I have to changed this code for(int j = n-1; j > n/2; j--) { to this for(int j = n-1; j >= n/2; j--) { because old version doesn't return all combinations (like [5,5] for 10)
And I used toIntArray function. I have founded hare on StackOverflow, but forget a link so here it's source:
public static int[] toIntArray(final Collection<Integer> data){
int[] result;
// null result for null input
if(data == null){
result = null;
// empty array for empty collection
} else if(data.isEmpty()){
result = new int[0];
} else{
final Collection<Integer> effective;
// if data contains null make defensive copy
// and remove null values
if(data.contains(null)){
effective = new ArrayList<Integer>(data);
while(effective.remove(null)){}
// otherwise use original collection
}else{
effective = data;
}
result = new int[effective.size()];
int offset = 0;
// store values
for(final Integer i : effective){
result[offset++] = i.intValue();
}
}
return result;
}

This is not the most beautiful code, but it does what you would like, having modified the code you referenced. It is also quite fast. It could be made faster by staying away from recursion (using a stack), and completely avoiding String-to-integer conversion. I may come back and edit those changes in. Running on my pretty outdated laptop, it printed the partitions of 50 (all 204226 of them) in under 5 seconds.
When partition(N) exits in this code, partitions will hold the partitions of N.
First, it builds an ArrayList of string representations of the sums in space-delimited format (example: " 1 1 1").
It then creates a two-dimensional array of ints which can hold all of the results.
It splits each String in the ArrayList into an array of Strings which each contain only a single number.
For each String, it creates an array of ints by parsing each number into an array.
This int array is then added to the two-dimensional array of ints.
Let me know if you have any questions!
import java.util.ArrayList;
public class Partition
{
static ArrayList<String> list = new ArrayList<String>();
static int[][] partitions;
public static void partition(int n)
{
partition(n, n, "");
partitions = new int[list.size()][0];
for (int i = 0; i < list.size(); i++)
{
String s = list.get(i);
String[] stringAsArray = s.trim().split(" ");
int[] intArray = new int[stringAsArray.length];
for (int j = 0; j < stringAsArray.length; j++)
{
intArray[j] = Integer.parseInt(stringAsArray[j]);
}
partitions[i] = intArray;
}
}
public static void partition(int n, int max, String prefix)
{
if(prefix.trim().split(" ").length > 8 || (prefix + " ").contains(" 2 "))
{
return;
}
if (n == 0)
{
list.add(prefix);
return;
}
for (int i = Math.min(max, n); i >= 1; i--)
{
partition(n - i, i, prefix + " " + i);
}
}
public static void main(String[] args)
{
int N = 50;
partition(N);
/**
* Demonstrates that the above code works as intended.
*/
for (int i = 0; i < partitions.length; i++)
{
int[] currentArray = partitions[i];
for (int j = 0; j < currentArray.length; j++)
{
System.out.print(currentArray[j] + " ");
}
System.out.println();
}
}
}