The aim is given a file, with the 1st line as the number of lines available, find how many pair of lines are permutations of each other. Example would be that AABA is a permutation of BAAA. The code is written in java. This is my current code:
import java.io.BufferedReader;
import java.io.FileReader;
import java.util.Arrays;
public class SpeedDemon {
public class Data{
byte[] dataValues;
byte duplicate=1;
int hashcode;
public Data(byte[] input) {
dataValues= new byte[128];
for (byte x : input) {
if (x==10){
break;
}
dataValues[x]++;
}
hashcode = Arrays.hashCode(dataValues);
}
public boolean equal(Data o){
return this.hashcode==o.hashcode&&Arrays.equals(o.dataValues, this.dataValues);
}
}
public int processData(String fileName){
try {
BufferedReader reader = new BufferedReader(new FileReader(fileName));
int size = Integer.parseInt(reader.readLine());
int arr_size = 2;
while (arr_size < size) {
arr_size *= 2;
}
Data[] map = new Data[arr_size];
int z = 0;
Data data;
int j;
for (int i = 0; i < size; i++) {
data = new Data(reader.readLine().getBytes());
j = data.hashcode;
j ^= (j >>> 16);
j &= (arr_size - 1);
while (true) {
if (map[j] == null) {
map[j] = data;
break;
} else {
if (map[j].equal(data)) {
z += map[j].duplicate++;
break;
} else {
j = j == arr_size - 1 ? 0 : j + 1;
}
}
}
}
return z;
}catch(Exception ex){ }
return 0;
}
public static void main(String[] args) {
System.out.println(new SpeedDemon().processData(args[0]));
}
}
I would like to know if there is any way to improve the time efficiency of the program? It is part of my class contest and some people have managed runtimes of around 25% faster. I tried different array sizes and this seem to work the best.
Multiply arr_size by 4. You need a lot of free slots to make open addressing efficient, and depending on what size is you may not be getting very many right now.
Specify a larger buffer size on your buffered reader to reduce the I/O count. 32768 would be reasonable.
Then work on efficiency in Data Both the hashing and comparison operations need to iterate through all 128 possible byte values, which is unnecessary.
Are you sure your code even gets the correct answer? It doesn't seem likely.
The easiest way to determine if two strings are permutations of each other is to sort the strings and compare them. With that in mind, an easier and faster way to code this up would be to use a Map. Something like this:
Create a new Map where the key and value are both strings
for each line of the file
s = read string from file
sortedString = sort(s) // sort characters in the string
if (map.contains(sortedString))
you found a duplicate
else
map.insert(sortedString, string) // the key is the sorted string
end for
There are other ways to do this, but that's the easiest way I know of, and probably the fastest.
Related
This question already has answers here:
Scramble each digit of the int a and print out the biggest possible integer
(4 answers)
Closed 2 years ago.
For example, if someone inserts 34603, the output would be 64330. I've started this problem already but I can not think of a solution that works. Also, since this is an assignment, my instructor told me that arrays are not allowed. Here is what I have thus far:
public class loops{
loops(){}
public void biggest(int a){
String as = Integer.toString(a);
int index=0;
int asl = as.length();
while(index<asl){
String num1 = as.substring(index);
String num2 = as.substring((index+1));
int con1 = Integer.parseInt(num1);
int con2 = Integer.parseInt(num2);
if(con1<con2){
System.out.println("con2: "+con2);
}
if(con1>con2){
System.out.println("con1: "+con1);
}
System.out.println("added: "+con1+" "+con2);
index++;
}
}
public static void main(String []args){
loops x = new loops();
x.biggest(4583);
}
}
I would appreciate any and all help/hints, for I am truly lost on this one.
It should be reasonably obvious that the largest possible result is obtained by arranging the digits in descending order. One of the easier and more efficient ways of doing that would be with a counting sort, but the usual forms of that involve using arrays or array-equivalents to accumulate the counts.
So standard Counting Sort is out, along with all standard sort routines aimed at rearranging sequences of items. But you can still take your inspiration from Counting Sort. For example, figure out how many 9 digits are in the input, and form a number from that many 9s. Then figure out how many 8s and append them. Then how many 7s, etc. "Appending" digits to a number can be done arithmetically, so the whole procedure can be done without an array or array equivalent, even if we consider Strings to be array equivalents (as we should).
Details are left as the exercise they are intended to be.
I won't answer the question directly for you but suggest some ideas to help you.
you need to sort the integers in place - ie no arrays/no lists.. just iterate over the integer as a string which you're doing correctly, and progressively swap values so that you end up with a sorted numerical value.
thinking of various sort algorithms, quicksort, mergesort, bubble sort, etc. you effectively pick one of these algorithms and try to implement it.
start with the basic examples for integers to sort and iteratively develop your code to successively generate the correct answer... as test cases try:
no number at all... null
then the empty string ""
then a single digit, so a number 0-9
Next two digits both in order, then out of the sort order
then 3 digits in/out of order
Once you've implemented for 3 digits you should be able to generate your solution for any number of digits.
Note: if you use Integer as the input data type, you will be limited to being able to take a maximum integer value of Integer.MAX_VALUE (which isn't that large). Try to treat the input argument as a String and the individual digits as integers for the comparison (which you are already doing), this way you'll be able to process a much larger input.
import java.util.ArrayList;
import java.util.Collections;
public class loops{
loops(){}
public void biggest(int a){
String as = Integer.toString(a);
int index=0;
int index2=1;
int asl = as.length();
ArrayList<Integer> lista = new ArrayList<Integer>();
while(index<asl){
String num1 = as.substring(index,index2);
int con1 = Integer.parseInt(num1);
lista.add(con1);
index++;
index2++;
}
//order list
Collections.sort(lista);
Collections.reverse(lista);
System.out.println(lista);
//concatenate numbers
}
public static void main(String []args){
loops x = new loops();
x.biggest(34603);
}
}
**anything consult back. **
Ok, I came up with this. It's not the prettiest solution, I recognize that, but it DOES work. Have a look:
public class loops{
public int a,b,c,d,e,f,g,h,i,j;
public loops(){}
public void biggest(int a){
String as = Integer.toString(a);
int index=0;
a = 0;
b = 0;
c = 0;
d = 0;
e = 0;
f = 0;
g = 0;
h = 0;
i = 0;
j = 0;
int asl = as.length();
while(index<asl){
String num3 = as.substring(index,(index+1));
int con3 = Integer.parseInt(num3);
if(con3==9){a++;}
if(con3==8){b++;}
if(con3==7){c++;}
if(con3==6){d++;}
if(con3==5){e++;}
if(con3==4){f++;}
if(con3==3){g++;}
if(con3==2){h++;}
if(con3==1){i++;}
if(con3==0){j++;}
index++;
}
for(int z=0;z<a;z++){
System.out.print("9");
}
for(int y=0;y<b;y++){
System.out.print("8");
}
for(int x=0;x<c;x++){
System.out.print("7");
}
for(int w=0;w<d;w++){
System.out.print("6");
}
for(int v=0;v<e;v++){
System.out.print("5");
}
for(int u=0;u<f;u++){
System.out.print("4");
}
for(int t=0;t<g;t++){
System.out.print("3");
}
for(int s=0;s<h;s++){
System.out.print("2");
}
for(int r=0;r<i;r++){
System.out.print("1");
}
for(int q=0;q<j;q++){
System.out.print("0");
}
public static void main(String []args){
loops x = new loops();
x.biggest(45683408);
}
}
If arrays aren't allowed, then I don't think strings should be allowed either:
static void biggest(int n)
{
long counts=0;
for(; n>0; n/=10)
{
counts += 1L<<((n%10)*4);
}
long result=0;
for (long digit=9; digit>=0; --digit)
{
for(long rep=(counts>>(digit*4))&15; rep>0; --rep)
{
result = result*10 + digit;
}
}
System.out.println(result);
}
To read/write binary files, I am using DataInputStream/DataOutputStream, they have this method writeByte()/readByte(), but what I want to do is read/write bits? Is it possible?
I want to use it for a compression algorithm, so when I am compressing I want to write 3 bits(for one number and there are millions of such numbers in a file) and if I write a byte at everytime I need to write 3 bits, I will write loads of redundant data...
It's not possible to read/write individual bits directly, the smallest unit you can read/write is a byte.
You can use the standard bitwise operators to manipulate a byte though, so e.g. to get the lowest 2 bits of a byte, you'd do
byte b = in.readByte();
byte lowBits = b&0x3;
set the low 4 bits to 1, and write the byte:
b |= 0xf;
out.writeByte(b);
(Note, for the sake of efficiency you might want to read/write byte arrays and not single bytes)
There's no way to do it directly. The smallest unit computers can handle is a byte (even booleans take up a byte). However you can create a custom stream class that packs a byte with the bits you want then writes it. You can then make a wrapper for this class who's write function takes some integral type, checks that it's between 0 and 7 (or -4 and 3 ... or whatever), extracts the bits in the same way the BitInputStream class (below) does, and makes the corresponding calls to the BitOutputStream's write method. You might be thinking that you could just make one set of IO stream classes, but 3 doesn't go into 8 evenly. So if you want optimum storage efficiency and you don't want to work really hard you're kind of stuck with two layers of abstraction. Below is a BitOutputStream class, a corresponding BitInputStream class, and a program that makes sure they work.
import java.io.IOException;
import java.io.OutputStream;
class BitOutputStream {
private OutputStream out;
private boolean[] buffer = new boolean[8];
private int count = 0;
public BitOutputStream(OutputStream out) {
this.out = out;
}
public void write(boolean x) throws IOException {
this.count++;
this.buffer[8-this.count] = x;
if (this.count == 8){
int num = 0;
for (int index = 0; index < 8; index++){
num = 2*num + (this.buffer[index] ? 1 : 0);
}
this.out.write(num - 128);
this.count = 0;
}
}
public void close() throws IOException {
int num = 0;
for (int index = 0; index < 8; index++){
num = 2*num + (this.buffer[index] ? 1 : 0);
}
this.out.write(num - 128);
this.out.close();
}
}
I'm sure there's a way to pack the int with bit-wise operators and thus avoid having to reverse the input, but I don't what to think that hard.
Also, you probably noticed that there is no local way to detect that the last bit has been read in this implementation, but I really don't want to think that hard.
import java.io.IOException;
import java.io.InputStream;
class BitInputStream {
private InputStream in;
private int num = 0;
private int count = 8;
public BitInputStream(InputStream in) {
this.in = in;
}
public boolean read() throws IOException {
if (this.count == 8){
this.num = this.in.read() + 128;
this.count = 0;
}
boolean x = (num%2 == 1);
num /= 2;
this.count++;
return x;
}
public void close() throws IOException {
this.in.close();
}
}
You probably know this, but you should put a BufferedStream in between your BitStream and FileStream or it'll take forever.
import java.io.BufferedInputStream;
import java.io.BufferedOutputStream;
import java.io.File;
import java.io.FileInputStream;
import java.io.FileOutputStream;
import java.io.IOException;
import java.util.Random;
class Test {
private static final int n = 1000000;
public static void main(String[] args) throws IOException {
Random random = new Random();
//Generate array
long startTime = System.nanoTime();
boolean[] outputArray = new boolean[n];
for (int index = 0; index < n; index++){
outputArray[index] = random.nextBoolean();
}
System.out.println("Array generated in " + (double)(System.nanoTime() - startTime)/1000/1000/1000 + " seconds.");
//Write to file
startTime = System.nanoTime();
BitOutputStream fout = new BitOutputStream(new BufferedOutputStream(new FileOutputStream("booleans.bin")));
for (int index = 0; index < n; index++){
fout.write(outputArray[index]);
}
fout.close();
System.out.println("Array written to file in " + (double)(System.nanoTime() - startTime)/1000/1000/1000 + " seconds.");
//Read from file
startTime = System.nanoTime();
BitInputStream fin = new BitInputStream(new BufferedInputStream(new FileInputStream("booleans.bin")));
boolean[] inputArray = new boolean[n];
for (int index = 0; index < n; index++){
inputArray[index] = fin.read();
}
fin.close();
System.out.println("Array read from file in " + (double)(System.nanoTime() - startTime)/1000/1000/1000 + " seconds.");
//Delete file
new File("booleans.bin").delete();
//Check equality
boolean equal = true;
for (int index = 0; index < n; index++){
if (outputArray[index] != inputArray[index]){
equal = false;
break;
}
}
System.out.println("Input " + (equal ? "equals " : "doesn't equal ") + "output.");
}
}
Please take a look at my bit-io library https://github.com/jinahya/bit-io, which can read and write non-octet-aligned values such as a 1-bit boolean or 17-bit unsigned integer.
<dependency>
<!-- resides in central repo -->
<groupId>com.googlecode.jinahya</groupId>
<artifactId>bit-io</artifactId>
<version>1.0-alpha-13</version>
</dependency>
This library reads and writes arbitrary-length bits.
final InputStream stream;
final BitInput input = new BitInput(new BitInput.StreamInput(stream));
final int b = input.readBoolean(); // reads a 1-bit boolean value
final int i = input.readUnsignedInt(3); // reads a 3-bit unsigned int
final long l = input.readLong(47); // reads a 47-bit signed long
input.align(1); // 8-bit byte align; padding
final WritableByteChannel channel;
final BitOutput output = new BitOutput(new BitOutput.ChannelOutput(channel));
output.writeBoolean(true); // writes a 1-bit boolean value
output.writeInt(17, 0x00); // writes a 17-bit signed int
output.writeUnsignedLong(54, 0x00L); // writes a 54-bit unsigned long
output.align(4); // 32-bit byte align; discarding
InputStreams and OutputStreams are streams of bytes.
To read a bit you'll need to read a byte and then use bit manipulation to inspect the bits you care about. Likewise, to write bits you'll need to write bytes containing the bits you want.
Yes and no. On most modern computers, a byte is the smallest addressable unit of memory, so you can only read/write entire bytes at a time. However, you can always use bitwise operators to manipulate the bits within a byte.
Bits are packaged in bytes and apart from VHDL/Verilog I have seen no language that allows you to append individual bits to a stream. Cache up your bits and pack them into a byte for a write using a buffer and bitmasking. Do the reverse for read, i.e. keep a pointer in your buffer and increment it as you return individually masked bits.
Afaik there is no function for doing this in the Java API. However you can of course read a byte and then use bit manipulation functions. Same goes for writing.
If you are just writing bits to a file, Java's BitSet class might be worth a look at. From the javadoc:
This class implements a vector of bits that grows as needed. Each component of the bit set has a boolean value. The bits of a BitSet are indexed by nonnegative integers. Individual indexed bits can be examined, set, or cleared. One BitSet may be used to modify the contents of another BitSet through logical AND, logical inclusive OR, and logical exclusive OR operations.
You are able to convert BitSets to long[] and byte[] to save data to a file.
The below code should work
int[] mynumbers = {3,4};
BitSet compressedNumbers = new BitSet(mynumbers.length*3);
// let's say you encoded 3 as 101 and 4 as 010
String myNumbersAsBinaryString = "101010";
for (int i = 0; i < myNumbersAsBinaryString.length(); i++) {
if(myNumbersAsBinaryString.charAt(i) == '1')
compressedNumbers.set(i);
}
String path = Resources.getResource("myfile.out").getPath();
ObjectOutputStream outputStream = null;
try {
outputStream = new ObjectOutputStream(new FileOutputStream(path));
outputStream.writeObject(compressedNumbers);
} catch (IOException e) {
e.printStackTrace();
}
I need to implement a hashing algorithm where the collision handling is done via linear probing. I know that by definition the hash table won’t store duplicates.I am not allowed to pre-process the word list file to eliminate duplicates first and then try to load the words into the hash table. My class arrayHashWithLinearProbing() is soppose to handle this part. Below is my class and some other information to help understand what I am doing. (Note: I am reading from a text file) I need help so that the hash table will not store duplicates.
import java.io.*;
import java.util.*;
import java.math.*;
public class HashWithLinearProbing {
int tableSize = 423697;
BigInteger ts = new BigInteger(Integer.toString(tableSize));
Hash[] hashTable;
public HashWithLinearProbing() {
hashTable = new Hash[tableSize];
for (int i = 0; i < tableSize; i++) {
hashTable[i] = new Hash();
}
}
public int hashVal(String p) {
String s = "";
for (int i = 0; i < p.length(); i++) {
s = s + (int) p.charAt(i);
}
BigInteger bi = new BigInteger(s);
BigInteger k = bi.remainder(ts);
int j = k.intValue();
return j;
}
public void arrayHashWithLinearProbing(String s) {
// you will implement a hash table using the hashVal() method described
// above.
// Linear probing will use the "next" field to chain all the values that
// have collisions.
// this method will store String s at a linearly probed location
// starting from hashVal(s) in the table
// if s is not already i the table. Essentially, you will not have any
// duplicates.
int hashIndex = hashVal(s);
int previousI = -1;
int i = hashIndex;
// Find the next slot
do {
if (hashTable[i].val.isEmpty()) {
hashTable[i].val = s;
break;
}
Hash hash = hashTable[i];
if (hash.val.equals(s)) {
hash.val = s;
break;
}
previousI = i;
i = (i + 1) % tableSize;
hashTable[previousI].next = i;
} while (i != hashIndex);
}
Thank you so much for your help in advance
I'm both learning to use the JPDA on Netbeans and solving the Prime Generator problem of Sphere's Online Judge.
I've been reading this tutorial on netbeans.org about he JPDA, but haven't found it of much help.
This code, which is based on a Sieve of Eratostenes implementation provided by starblue here, is running like this:
2
1 10
//here the primes between 1 and 10 should print
3 5
//here the primes between 3 and 5 should print
package sphere;
/**
*
* #author Administrator
*/
//import java.util.ArrayList;
import java.util.BitSet;
import java.lang.Math.*;
import java.util.ArrayList;
public class Main
{
public static int ApproximateNthPrime(int nn)
{
double n = (double)nn;
double p;
if (nn >= 7022)
{
p = n * Math.log(n) + n * (Math.log(Math.log(n)) - 0.9385);
}
else if (nn >= 6)
{
p = n * Math.log(n) + n * Math.log(Math.log(n));
}
else if (nn > 0)
{
p = new int[] { 2, 3, 5, 7, 11 }[nn - 1];
}
else
{
p = 0;
}
return (int)p;
}
// Find all primes up to and including the limit
public static BitSet SieveOfEratosthenes(int limit)
{
final BitSet primes = new BitSet();
primes.set(0,false);
primes.set(1,false);
primes.set(2,limit,true);
for (int i =0; i*i<limit;i++)
{
if (primes.get(i))
{
for (int j=i*1; j<limit;j+=1)
{
primes.clear(j);// hace que el indice j sea false (no primo)
}
}
}
return primes;
}
public static ArrayList<Integer> GeneratePrimesSieveOfEratosthenes(int n)
{
int limit = ApproximateNthPrime(n);
BitSet bits = SieveOfEratosthenes(limit);
ArrayList <Integer> primes = new ArrayList<Integer>();
for (int i = 0, found = 0; i < limit && found < n; i++)
{
if (bits.get(i))
{
primes.add(i);
found++;
}
}
return primes;
}
public static void main (String[] args) throws java.lang.Exception
{
java.io.BufferedReader r = new java.io.BufferedReader (new java.io.InputStreamReader (System.in));
String s;
s= r.readLine();
int test_cases = Integer.parseInt(s);
int case_counter =0;
while (case_counter<test_cases) {
// System.out.println(s);
s = r.readLine();
String [] splitted = s.split(" ");
int lower_bound = Integer.parseInt(splitted[0]);
int upper_bound = Integer.parseInt(splitted[1]);
ArrayList <Integer> primesList= GeneratePrimesSieveOfEratosthenes(upper_bound);
for (int i =0; i<primesList.size();i++){
if (primesList.get(i)<=lower_bound)System.out.println(primesList.get(i));
}
case_counter++;
System.out.println(" "); // space that separates test cases
}
}
}
I know that the ArrayList primesList isn't getting initialized and I'm suspicious of this bit of code, cause honestly, I don't quite understand it:
if (primes.get(i))
{
for (int j=i*1; j<limit;j+=1)
{
primes.clear(j);
}
}
It occurred to me to use a conditional breakpoint here with the condition of:
primes.get(j)==false
But I'm not sure if I'm able to get meaningful info this way. These are the screens I'm getting:
alt text http://img525.imageshack.us/img525/6238/breakpoints.jpg
alt text http://img98.imageshack.us/img98/5262/watchesz.jpg
I don't know how to get useful info out of this.
My questions are:
a)I want to watch the primes BitSet as its going through this loop.
How do I do that?
b) What's exactly wrong with this code?
How did you spot it using the debugger?
Please, mention the step-by-step process.
So, I extracted out the following method:
private static void printPrimes(int lower_bound, int upper_bound) {
ArrayList<Integer> primesList = GeneratePrimesSieveOfEratosthenes(upper_bound);
for (int i = 0; i < primesList.size(); i++) {
if (primesList.get(i) <= lower_bound)
System.out.println(primesList.get(i));
}
}
and changed the main() method to just call that with a couple of arbitrary arguments (10 and 100), because I didn't want to mess around with the console and the debugger at the same time. I then (I'm using Eclipse) put ordinary breakpoints at the beginning and end lines of ApproximateNthPrime(), SieveOfEratosthenes() and GeneratePrimesSieveOfEratosthenes() to make sure they were being called. (By the way, Java convention, unlike C#, is for method names to start with a lower-case letter.)
All that was without bothering to understand the code. :) However, after the first run-through, it was pretty clear that the problem is that the BitSet produced by SieveOfEratosthenes() is always empty (or rather, always entirely false). I haven't used the NetBeans debugger, but I suspect the "Local Variables" tab is your friend here.
I'm not going to do your homework for you. :) But the idea of the Sieve of Eratosthenes is to skip the prime numbers and only eliminate the non-primes. Examine your SieveOfEratosthenes() method and ask yourself: when will it skip a number?
I'm familiar with Levenshtein's distance, so I decided I would use it to solve UVA's Edit Steps Ladder problem.
My solution is:
import java.io.*;
import java.util.*;
class LevenshteinParaElJuez implements Runnable{
static String ReadLn(int maxLength){ // utility function to read from stdin,
// Provided by Programming-challenges, edit for style only
byte line[] = new byte [maxLength];
int length = 0;
int input = -1;
try{
while (length < maxLength){//Read untill maxlength
input = System.in.read();
if ((input < 0) || (input == '\n')) break; //or untill end of line ninput
line [length++] += input;
}
if ((input < 0) && (length == 0)) return null; // eof
return new String(line, 0, length);
}catch (IOException e){
return null;
}
}
public static void main(String args[]) // entry point from OS
{
LevenshteinParaElJuez myWork = new LevenshteinParaElJuez(); // Construct the bootloader
myWork.run(); // execute
}
public void run() {
new myStuff().run();
}
}
class myStuff implements Runnable{
public void run(){
ArrayList<String> theWords = new ArrayList<String>();
try
{
/// PLACE YOUR JAVA CODE HERE
String leido=LevenshteinParaElJuez.ReadLn(100);
//System.out.println("lo leido fue "+leido);
while (leido.length() != 0){
theWords.add(leido);
leido=LevenshteinParaElJuez.ReadLn(100);
}
}catch(Exception e){
System.out.println("El programa genero una excepcion");
}
int maxEdit=0;
int actualEdit=0;
int wordsIndex1 =0, wordsIndex2=0;
while (wordsIndex1<= theWords.size())
{
while (wordsIndex2<= theWords.size()-1){
actualEdit=Levenshtein.computeLevenshteinDistance(theWords.get(wordsIndex1),theWords.get(wordsIndex2));
if (actualEdit>maxEdit){maxEdit=actualEdit;}
wordsIndex2++;
}
wordsIndex1++;
}
System.out.println(maxEdit+1);
}
}
class Levenshtein {
private static int minimum(int a, int b, int c) {
if(a<=b && a<=c)
return a;
if(b<=a && b<=c)
return b;
return c;
}
public static int computeLevenshteinDistance(String str1, String str2) {
return computeLevenshteinDistance(str1.toCharArray(),
str2.toCharArray());
}
private static int computeLevenshteinDistance(char [] str1, char [] str2) {
int [][]distance = new int[str1.length+1][str2.length+1];
for(int i=0;i<=str1.length;i++)
distance[i][0]=i;
for(int j=0;j<=str2.length;j++)
distance[0][j]=j;
for(int i=1;i<=str1.length;i++)
for(int j=1;j<=str2.length;j++)
distance[i][j]= minimum(distance[i-1][j]+1,
distance[i][j-1]+1,
distance[i-1][j-1]+
((str1[i-1]==str2[j-1])?0:1));
return distance[str1.length][str2.length];
}
}
With this input:
cat
dig
dog
fig
fin
fine
fog
log
wine
it produces the correct output for this sample:
5
The judge is rejecting my answer. This is my first attempt at solving an online judge's problem, and I think I maybe forcing a correct answer here:
System.out.println(maxEdit+1);
since maxEdit has a value of 4 when computed simply with Levenshtein. Is that what's going on?
Levinshtein is relevant, but will not give you a value used in your output. In this problem, use it to determine if two words have an edit distance of exactly 1, indicating the two words compared are adjacent in the edit step ladder.
Iterate over the words in the dict. and if the next word has an edit distance of 1 from the current word, you may make that the current word, otherwise it must be skipped.
The trick to this problem is finding all possible sequences - just because the next word has an edit distance of 1 doesn't mean using it in the ladder will give you the longest possible ladder.
The problem states that you are to find the longest lexicographically ordered (i.e. alphabetical) sequence in the dictionary, such that each word in the sequence is formed by adding, deleting, or changing one letter.
So the 5 in the sample result is for the sequence (dig, fig, fin, fine, wine).
I don't think Levenshtein is particularly relevant to this problem, though maybe I am just not imaginative enough. Levenshtein doesn't capture the requirement that each step must be in the dictionary, and later in the dictionary.