How to display the combination of some values in array? [duplicate] - java

This question already has answers here:
Algorithm to return all combinations of k elements from n
(77 answers)
Closed 9 years ago.
For example, I have an array ["Sam", "Mary", "John"].
I would like to display the combination of choose 2 out of 3.
The results should be:
[Sam, Mary]
[Sam, John]
[Mary, John]
I have researched a lot but still dun know how to do it.
Of course, this example only contain 3 people.
In fact, the number of total people will be larger, e.g. 15
Here is what I found:
Algorithm to return all combinations of k elements from n
What is a good way to implement choose notation in Java?
Some of them is only display the value of nCr, but not giving out the combination.

public static int width;
public static void main(String [] args){
String[] array = {"one", "two", "three", "four", "five"};
width = 3;
List<String> list = new ArrayList<String>();
for (int i = 0; i < array.length; i++){
method(array, list, i, 1, "[" + array[i]);
}
System.out.println(list);
}
public static void method(String[] array, List<String> list, int i, int depth, String string){
if (depth == width){
list.add(string + "]");
return;
}
for (int j = i+1; j < array.length; j++){
method(array, list, j, depth+1, string + ", " + array[j]);
}
}

Simple recursive function to print out combination(nCr) of a given string array (named array):
String[] array = {"Sam", "Mary", "John"};
public void function(int counter, String comb_Str, int r) {
if (r == 0) {
System.out.println(comb_Str);
} else {
for (; counter < array.length; ++counter) {
function(counter + 1, comb_Str + " " + array[counter], r - 1);
}
}
}
called using function(0, "", #r value#)
r value should be <= n value (array length)

Here's some pseudocode to get you started with a recursive solution. Lists will be easier to work with than string arrays, as you can change their size easily. Also, once you get your combos, you can iterate over them to display them however you want. However, though it's a good problem to think about, the number of combos will get out of hand pretty quickly, so displaying them all to a user will become a bad idea if you are working with more than a handful of results...
/**
* #param list The list to create all combos for
* #param comboSize The size of the combo lists to build (e.g. 2 for 2 items combos)
* #param startingIndex The starting index to consider (used mainly for recursion). Set to 0 to consider all items.
*/
getAllCombos(list, comboSize, startingIndex){
allCombos;
itemsToConsider = list.length - startingIndex;
if(itemsToConsider >= comboSize){
allCombos = getAllCombos(list, comboSize, startingIndex + 1);
entry = list[startingIndex];
if(comboSize == 1){
singleList;
singleList.add(entry);
allCombos.add(singleList);
} else {
subListCombos = getAllCombos(list, comboSize - 1, i+1);
for(int i = 0; i < subListCombos.length; i++){
subListCombo = subListCombos[i];
subListCombo.add(entry);
allCombos.add(subListCombo);
}
}
}
return allCombos;
}

This probably isn't perfect, but it should get you on the right track. Create a function to get combinations for each element. Then you just have to loop through each element and call your function on each of them.
int num = 2; //Number of elements per combination
for(int i=0; i <= (array.length - num); i++) {
String comb = "[" + array[i];
comb += getComb(i,num);
comb += "]";
println(comb);
}
String getComb(int i, int num) {
int counter = 1;
String s = "";
while(counter < num) {
s += ", " + array[i+counter];
counter++;
}
return s;
}

Related

Find different index in arrays compare

I'm trying to learn a bit Java with tutorials and currently I'm struggling with piece of code where I should find on which index is difference between arrays (if there is difference at all)
My code
Scanner scanner = new Scanner(System.in);
int[] arrOne = Arrays.stream(scanner.nextLine().split(" ")).mapToInt(Integer::parseInt).toArray();
int[] arrTwo = Arrays.stream(scanner.nextLine().split(" ")).mapToInt(Integer::parseInt).toArray();
int sumArrOne = 0;
int index = 0;
boolean diff = false;
for (int k : arrOne) {
if (Arrays.equals(arrOne, arrTwo)) {
sumArrOne += k;
} else {
for (int i : arrTwo) {
if (k != i) {
index = i;
diff = true;
break;
}
}
}
}
if (diff) {
System.out.println("Found difference at " + index + " index.");
} else {
System.out.println("Sum: " + sumArrOne);
}
So, if arrays are identical I'm sum array elements in arrOne. If they are not identical -> must show at which index they are not.
With this code when I input
1 2 3 4 5
1 2 4 3 5
I should get that difference is at index 2 instead I've got index 1.
I'm not quite sure why and would be glad if someone point me out where is my mistake.
I updated your code. Looks like you're misunderstanding the concept of indexes yet.
Use one common index to check with in both arrays, in my example it's simply called i:
import java.util.Arrays;
import java.util.Scanner;
public class BadArray {
static private final int INVALID_INDEX = Integer.MIN_VALUE;
public static void main(final String[] args) {
try (final Scanner scanner = new Scanner(System.in);) {
final int[] arrOne = Arrays.stream(scanner.nextLine().split(" ")).mapToInt(Integer::parseInt).toArray();
final int[] arrTwo = Arrays.stream(scanner.nextLine().split(" ")).mapToInt(Integer::parseInt).toArray();
int sumArrOne = 0;
int diffIndex = INVALID_INDEX;
final int minLen = Math.min(arrOne.length, arrTwo.length);
for (int i = 0; i < minLen; i++) {
sumArrOne += arrOne[i];
if (arrOne[i] != arrTwo[i]) {
diffIndex = i;
break;
}
}
if (diffIndex != INVALID_INDEX) {
System.out.println("Found difference at " + diffIndex + " index.");
} else if (arrOne.length != arrTwo.length) {
System.out.println("Arrays are equal but have different length!");
} else {
System.out.println("Sum: " + sumArrOne);
}
}
}
}
I also put the scanner into a try-resource-catch to handle resource releasing properly.
Note you could also do the array lengths comparison right at the start if different array lengths play a more crucial role.
You are trying to find out which index has the first difference so you should iterate via the index rather than using a for-each loop (aka enhanced for loop). The following method should work for this.
/**
* Returns the index of the first element of the two arrays that are not the same.
* Returns -1 if both arrays have the same values in the same order.
* #param left an int[]
* #param right an int[]
* #return index of difference or -1 if none
*/
public int findIndexOfDifference(int[] left, int[] right) {
// short-circuit if we're comparing an array against itself
if (left == right) return -1;
for (int index = 0 ; index < left.length && index < right.length ; ++index) {
if (left[index] != right[index]) {
return index;
}
}
return -1;
}
In your code you compare, where the indexes are different, not the values at the indexes. Also your code has several other issues. I'll try to go through them step by step:
// compare the whole array only once, not inside a loop:
diff = !Arrays.equals(arrOne, arrTwo));
if (!diff) {
// do the summing without a loop
sumArrOne = Arrays.stream(arrOne).sum();
} else {
// find the difference
// it could be the length
index = Math.min(arrOne.length, arrTwo.length);
// or in some different values
for (int i = 0; i < index; i++) { // do a loop with counter
if (arrOne[i] != arrTwo[i]) {
index = i;
break;
}
}
}
It doesn't matter that I set index here above the loop as it's value will be overwritten anyways inside the loop, if relevant.

How to create a method that counts how large a group is in an array?

I need some help making my Java method (getNumGroupsOfSize) work. It should tally how large an array "group" (consecutive elements that share the same value) is, and then print out how many other groups share that size. So for example, array [1,1,1,2,2,2,3,3,3,4,5,6,7] would print:
size 1=4
size 3=3
and then would stop running.
This is what I have so far:
import static java.lang.System.*;
import java.util.Arrays;
import java.util.Scanner;
public class ArrayStats {
int[] numArray;
int number;
public ArrayStats(int[] array) {
setArray(array);
}
public void setArray(int[] array) {
numArray = array;
}
public int getNumGroupsOfSize() {
int cnt = 0;
for (int x = 0; x < numArray.length - 1; x++) {
if (numArray[x] == numArray[x + 1]);
cnt++;
for (int y = 2; y <= 9; y++) {
if (cnt == y)
number = cnt;
else if (cnt == 1)
number = 1;
}
}
return number;
}
public String toString() {
return "size count" + " == " + getNumGroupsOfSize() + Arrays.toString(numArray);
}
}
I'm pretty sure my getNumGroupsOfSize is not coded correctly, but I'm not sure how to make it work. I would genuinely appreciate any help that can be offered. If you need any more information, don't hesitate to comment. Thank you!
Your method getNumGroupsSize() doesn't make much sense. For example how do you print out all the groups if you just store one number? I wrote the method new and it prints the numbers directly. You can also store them in an array if you want to.
public void getNumGroupsOfSize() {
int cnt = 1;
int currentNumber = numArray[0];
for (int x = 0; x < numArray.length - 1; x++) {
if (numArray[x] == numArray[x + 1]){
cnt++;
}
else{
System.out.println(currentNumber + ": " + cnt);
currentNumber=numArray[x+1];
cnt=1;
}
}
System.out.println(currentNumber + ": " + cnt);
}
For each encountered series, you have to count its size and update the information about how many series has this size.
So the int number field you are using is clearly not enough to achieve it as it persists only a very elementary information.
In your case, you need to have two associated information : for each series size, you want to know the number of series that have this size.
A Map object should do the job.
It would use as key the size of the series and as value the number of series that have this size.
Map<Integer, Integer> occurrenceBySeriesSize = new HashMap<>();
At each time an encountered series is finished, update the map with the new count :
int serieSize = ...;
Integer occurrences = occurrenceBySeriesSize.get(serieSize);
if (occurrences == null){
occurrences = 0;
}
occurrenceBySeriesSize.put(serieSize, ++occurrences);

Get the minimum number of comparisons when adding data in a BST

I need to calculate the minimum number of comparisons that the implementation of the BST will be effectuate, given an array of numbers with length N and changing the order in which the elements are added.
For example, if I have an array [1 2 3], it will print that the minimum amount of comparisons with a given order is 2, from the 6 different ways of adding the numbers to the tree.
The code that I actually write may already calculate this, creating a new tree for every combination to find the number of comparisons and finally calculating the minimum value from them by using the method comparisonTree.findMin();. It goes well until the number of elements in the array is bigger; the implementation isn't efficient enough.
The code I use for acquire the combinations is a modified version of the one from Generating all permutations of a given string. I'm searching for a more efficient way for completing this task, if any.
public static int[] readInts(String cad) {
String lines[] = cad.split("");
int arr[] = new int[lines.length];
for (int i = 0; i < arr.length; i++) {
arr[i] = Integer.parseInt(lines[i]);
}
return arr;
}
public static int findMinimumComp(String str, BinarySearchTree<Integer> t) throws Exception {
BinarySearchTree<Integer> compTree = new BinarySearchTree<>();
int compAux = 100;
findMinimumComp("", str, t, compTree, compAux);
return compTree.findMin();
}
private static BinarySearchTree<Integer> findMinimumComp(String prefix, String str, BinarySearchTree<Integer> t, BinarySearchTree<Integer> compTree, int compAux) throws Exception {
int n = str.length();
int arr[] = new int[n];
int comparation;
if (n == 0) {
arr = readInts(prefix);
for (int a = 0; a < arr.length; a++) { // add elements
t.insert(arr[a]);
}
comparation = t.getCompareCount(); //method for getting number of comparisons
if (comparation < compAux || compTree.isEmpty()){
compTree.insert(comparation); //comparisons tree
compAux = comparation;
}
t.initializeCompareCount();
t.makeEmpty();
} else {
for (int i = 0; i < n; i++) {
findMinimumComp(prefix + str.charAt(i), str.substring(0, i) + str.substring(i + 1, n), t, compTree, compAux);
}
}
return compTree;
}

Find all substrings that are palindromes

If the input is 'abba' then the possible palindromes are a, b, b, a, bb, abba.
I understand that determining if string is palindrome is easy. It would be like:
public static boolean isPalindrome(String str) {
int len = str.length();
for(int i=0; i<len/2; i++) {
if(str.charAt(i)!=str.charAt(len-i-1) {
return false;
}
return true;
}
But what is the efficient way of finding palindrome substrings?
This can be done in O(n), using Manacher's algorithm.
The main idea is a combination of dynamic programming and (as others have said already) computing maximum length of palindrome with center in a given letter.
What we really want to calculate is radius of the longest palindrome, not the length.
The radius is simply length/2 or (length - 1)/2 (for odd-length palindromes).
After computing palindrome radius pr at given position i we use already computed radiuses to find palindromes in range [i - pr ; i]. This lets us (because palindromes are, well, palindromes) skip further computation of radiuses for range [i ; i + pr].
While we search in range [i - pr ; i], there are four basic cases for each position i - k (where k is in 1,2,... pr):
no palindrome (radius = 0) at i - k
(this means radius = 0 at i + k, too)
inner palindrome, which means it fits in range
(this means radius at i + k is the same as at i - k)
outer palindrome, which means it doesn't fit in range
(this means radius at i + k is cut down to fit in range, i.e because i + k + radius > i + pr we reduce radius to pr - k)
sticky palindrome, which means i + k + radius = i + pr
(in that case we need to search for potentially bigger radius at i + k)
Full, detailed explanation would be rather long. What about some code samples? :)
I've found C++ implementation of this algorithm by Polish teacher, mgr Jerzy WaƂaszek.
I've translated comments to english, added some other comments and simplified it a bit to be easier to catch the main part.
Take a look here.
Note: in case of problems understanding why this is O(n), try to look this way:
after finding radius (let's call it r) at some position, we need to iterate over r elements back, but as a result we can skip computation for r elements forward. Therefore, total number of iterated elements stays the same.
Perhaps you could iterate across potential middle character (odd length palindromes) and middle points between characters (even length palindromes) and extend each until you cannot get any further (next left and right characters don't match).
That would save a lot of computation when there are no many palidromes in the string. In such case the cost would be O(n) for sparse palidrome strings.
For palindrome dense inputs it would be O(n^2) as each position cannot be extended more than the length of the array / 2. Obviously this is even less towards the ends of the array.
public Set<String> palindromes(final String input) {
final Set<String> result = new HashSet<>();
for (int i = 0; i < input.length(); i++) {
// expanding even length palindromes:
expandPalindromes(result,input,i,i+1);
// expanding odd length palindromes:
expandPalindromes(result,input,i,i);
}
return result;
}
public void expandPalindromes(final Set<String> result, final String s, int i, int j) {
while (i >= 0 && j < s.length() && s.charAt(i) == s.charAt(j)) {
result.add(s.substring(i,j+1));
i--; j++;
}
}
So, each distinct letter is already a palindrome - so you already have N + 1 palindromes, where N is the number of distinct letters (plus empty string). You can do that in single run - O(N).
Now, for non-trivial palindromes, you can test each point of your string to be a center of potential palindrome - grow in both directions - something that Valentin Ruano suggested.
This solution will take O(N^2) since each test is O(N) and number of possible "centers" is also O(N) - the center is either a letter or space between two letters, again as in Valentin's solution.
Note, there is also O(N) solution to your problem, based on Manacher's algoritm (article describes "longest palindrome", but algorithm could be used to count all of them)
I just came up with my own logic which helps to solve this problem.
Happy coding.. :-)
System.out.println("Finding all palindromes in a given string : ");
subPal("abcacbbbca");
private static void subPal(String str) {
String s1 = "";
int N = str.length(), count = 0;
Set<String> palindromeArray = new HashSet<String>();
System.out.println("Given string : " + str);
System.out.println("******** Ignoring single character as substring palindrome");
for (int i = 2; i <= N; i++) {
for (int j = 0; j <= N; j++) {
int k = i + j - 1;
if (k >= N)
continue;
s1 = str.substring(j, i + j);
if (s1.equals(new StringBuilder(s1).reverse().toString())) {
palindromeArray.add(s1);
}
}
}
System.out.println(palindromeArray);
for (String s : palindromeArray)
System.out.println(s + " - is a palindrome string.");
System.out.println("The no.of substring that are palindrome : "
+ palindromeArray.size());
}
Output:-
Finding all palindromes in a given string :
Given string : abcacbbbca
******** Ignoring single character as substring palindrome ********
[cac, acbbbca, cbbbc, bb, bcacb, bbb]
cac - is a palindrome string.
acbbbca - is a palindrome string.
cbbbc - is a palindrome string.
bb - is a palindrome string.
bcacb - is a palindrome string.
bbb - is a palindrome string.
The no.of substring that are palindrome : 6
I suggest building up from a base case and expanding until you have all of the palindomes.
There are two types of palindromes: even numbered and odd-numbered. I haven't figured out how to handle both in the same way so I'll break it up.
1) Add all single letters
2) With this list you have all of the starting points for your palindromes. Run each both of these for each index in the string (or 1 -> length-1 because you need at least 2 length):
findAllEvenFrom(int index){
int i=0;
while(true) {
//check if index-i and index+i+1 is within string bounds
if(str.charAt(index-i) != str.charAt(index+i+1))
return; // Here we found out that this index isn't a center for palindromes of >=i size, so we can give up
outputList.add(str.substring(index-i, index+i+1));
i++;
}
}
//Odd looks about the same, but with a change in the bounds.
findAllOddFrom(int index){
int i=0;
while(true) {
//check if index-i and index+i+1 is within string bounds
if(str.charAt(index-i-1) != str.charAt(index+i+1))
return;
outputList.add(str.substring(index-i-1, index+i+1));
i++;
}
}
I'm not sure if this helps the Big-O for your runtime, but it should be much more efficient than trying each substring. Worst case would be a string of all the same letter which may be worse than the "find every substring" plan, but with most inputs it will cut out most substrings because you can stop looking at one once you realize it's not the center of a palindrome.
I tried the following code and its working well for the cases
Also it handles individual characters too
Few of the cases which passed:
abaaa --> [aba, aaa, b, a, aa]
geek --> [g, e, ee, k]
abbaca --> [b, c, a, abba, bb, aca]
abaaba -->[aba, b, abaaba, a, baab, aa]
abababa -->[aba, babab, b, a, ababa, abababa, bab]
forgeeksskeegfor --> [f, g, e, ee, s, r, eksske, geeksskeeg,
o, eeksskee, ss, k, kssk]
Code
static Set<String> set = new HashSet<String>();
static String DIV = "|";
public static void main(String[] args) {
String str = "abababa";
String ext = getExtendedString(str);
// will check for even length palindromes
for(int i=2; i<ext.length()-1; i+=2) {
addPalindromes(i, 1, ext);
}
// will check for odd length palindromes including individual characters
for(int i=1; i<=ext.length()-2; i+=2) {
addPalindromes(i, 0, ext);
}
System.out.println(set);
}
/*
* Generates extended string, with dividors applied
* eg: input = abca
* output = |a|b|c|a|
*/
static String getExtendedString(String str) {
StringBuilder builder = new StringBuilder();
builder.append(DIV);
for(int i=0; i< str.length(); i++) {
builder.append(str.charAt(i));
builder.append(DIV);
}
String ext = builder.toString();
return ext;
}
/*
* Recursive matcher
* If match is found for palindrome ie char[mid-offset] = char[mid+ offset]
* Calculate further with offset+=2
*
*
*/
static void addPalindromes(int mid, int offset, String ext) {
// boundary checks
if(mid - offset <0 || mid + offset > ext.length()-1) {
return;
}
if (ext.charAt(mid-offset) == ext.charAt(mid+offset)) {
set.add(ext.substring(mid-offset, mid+offset+1).replace(DIV, ""));
addPalindromes(mid, offset+2, ext);
}
}
Hope its fine
public class PolindromeMyLogic {
static int polindromeCount = 0;
private static HashMap<Character, List<Integer>> findCharAndOccurance(
char[] charArray) {
HashMap<Character, List<Integer>> map = new HashMap<Character, List<Integer>>();
for (int i = 0; i < charArray.length; i++) {
char c = charArray[i];
if (map.containsKey(c)) {
List list = map.get(c);
list.add(i);
} else {
List list = new ArrayList<Integer>();
list.add(i);
map.put(c, list);
}
}
return map;
}
private static void countPolindromeByPositions(char[] charArray,
HashMap<Character, List<Integer>> map) {
map.forEach((character, list) -> {
int n = list.size();
if (n > 1) {
for (int i = 0; i < n - 1; i++) {
for (int j = i + 1; j < n; j++) {
if (list.get(i) + 1 == list.get(j)
|| list.get(i) + 2 == list.get(j)) {
polindromeCount++;
} else {
char[] temp = new char[(list.get(j) - list.get(i))
+ 1];
int jj = 0;
for (int ii = list.get(i); ii <= list
.get(j); ii++) {
temp[jj] = charArray[ii];
jj++;
}
if (isPolindrome(temp))
polindromeCount++;
}
}
}
}
});
}
private static boolean isPolindrome(char[] charArray) {
int n = charArray.length;
char[] temp = new char[n];
int j = 0;
for (int i = (n - 1); i >= 0; i--) {
temp[j] = charArray[i];
j++;
}
if (Arrays.equals(charArray, temp))
return true;
else
return false;
}
public static void main(String[] args) {
String str = "MADAM";
char[] charArray = str.toCharArray();
countPolindromeByPositions(charArray, findCharAndOccurance(charArray));
System.out.println(polindromeCount);
}
}
Try out this. Its my own solution.
// Maintain an Set of palindromes so that we get distinct elements at the end
// Add each char to set. Also treat that char as middle point and traverse through string to check equality of left and right char
static int palindrome(String str) {
Set<String> distinctPln = new HashSet<String>();
for (int i=0; i<str.length();i++) {
distinctPln.add(String.valueOf(str.charAt(i)));
for (int j=i-1, k=i+1; j>=0 && k<str.length(); j--, k++) {
// String of lenght 2 as palindrome
if ( (new Character(str.charAt(i))).equals(new Character(str.charAt(j)))) {
distinctPln.add(str.substring(j,i+1));
}
// String of lenght 2 as palindrome
if ( (new Character(str.charAt(i))).equals(new Character(str.charAt(k)))) {
distinctPln.add(str.substring(i,k+1));
}
if ( (new Character(str.charAt(j))).equals(new Character(str.charAt(k)))) {
distinctPln.add(str.substring(j,k+1));
} else {
continue;
}
}
}
Iterator<String> distinctPlnItr = distinctPln.iterator();
while ( distinctPlnItr.hasNext()) {
System.out.print(distinctPlnItr.next()+ ",");
}
return distinctPln.size();
}
Code is to find all distinct substrings which are palindrome.
Here is the code I tried. It is working fine.
import java.util.HashSet;
import java.util.Set;
public class SubstringPalindrome {
public static void main(String[] args) {
String s = "abba";
checkPalindrome(s);
}
public static int checkPalindrome(String s) {
int L = s.length();
int counter =0;
long startTime = System.currentTimeMillis();
Set<String> hs = new HashSet<String>();
// add elements to the hash set
System.out.println("Possible substrings: ");
for (int i = 0; i < L; ++i) {
for (int j = 0; j < (L - i); ++j) {
String subs = s.substring(j, i + j + 1);
counter++;
System.out.println(subs);
if(isPalindrome(subs))
hs.add(subs);
}
}
System.out.println("Total possible substrings are "+counter);
System.out.println("Total palindromic substrings are "+hs.size());
System.out.println("Possible palindromic substrings: "+hs.toString());
long endTime = System.currentTimeMillis();
System.out.println("It took " + (endTime - startTime) + " milliseconds");
return hs.size();
}
public static boolean isPalindrome(String s) {
if(s.length() == 0 || s.length() ==1)
return true;
if(s.charAt(0) == s.charAt(s.length()-1))
return isPalindrome(s.substring(1, s.length()-1));
return false;
}
}
OUTPUT:
Possible substrings:
a
b
b
a
ab
bb
ba
abb
bba
abba
Total possible substrings are 10
Total palindromic substrings are 4
Possible palindromic substrings: [bb, a, b, abba]
It took 1 milliseconds

Eliminating Recursion

I've just been looking at the following piece of code
package test;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;
public class Main {
public static void main(final String[] args) {
final int sizeA = 3;
final int sizeB = 5;
final List<int[]> combos = getAllCombinations(sizeA-1, sizeB);
int counter = 1;
for(final int[] combo : combos) {
System.out.println("Combination " + counter);
System.out.println("--------------");
for(final int value : combo) {
System.out.print(value + " ");
}
System.out.println();
System.out.println();
++counter;
}
}
private static List<int[]> getAllCombinations(final int maxIndex, final int size) {
if(maxIndex >= size)
throw new IllegalArgumentException("The maximum index must be smaller than the array size.");
final List<int[]> result = new ArrayList<int[]>();
if(maxIndex == 0) {
final int[] array = new int[size];
Arrays.fill(array, maxIndex);
result.add(array);
return result;
}
//We'll create one array for every time the maxIndex can occur while allowing
//every other index to appear, then create every variation on that array
//by having every possible head generated recursively
for(int i = 1; i < size - maxIndex + 1; ++i) {
//Generating every possible head for the array
final List<int[]> heads = getAllCombinations(maxIndex - 1, size - i);
//Combining every head with the tail
for(final int[] head : heads) {
final int[] array = new int[size];
System.arraycopy(head, 0, array, 0, head.length);
//Filling the tail of the array with i maxIndex values
for(int j = 1; j <= i; ++j)
array[size - j] = maxIndex;
result.add(array);
}
}
return result;
}
}
I'm wondering, how do I eliminate recursion from this, so that it returns a single random combination, rather than a list of all possible combinations?
Thanks
If I understand your code correctly your task is as follows: give a random combination of numbers '0' .. 'sizeA-1' of length sizeB where
the combination is sorted
each number occurs at least once
i.e. in your example e.g. [0,0,1,2,2].
If you want to have a single combination only I'd suggest another algorithm (pseudo-code):
Randomly choose the step-up positions (e.g. for sequence [0,0,1,1,2] it would be steps (1->2) & (3->4)) - we need sizeA-1 steps randomly chosen at sizeB-1 positions.
Calculate your target combination out of this vector
A quick-and-dirty implementation in java looks like follows
// Generate list 0,1,2,...,sizeB-2 of possible step-positions
List<Integer> steps = new ArrayList<Integer>();
for (int h = 0; h < sizeB-1; h++) {
steps.add(h);
}
// Randomly choose sizeA-1 elements
Collections.shuffle(steps);
steps = steps.subList(0, sizeA - 1);
Collections.sort(steps);
// Build result array
int[] result = new int[sizeB];
for (int h = 0, o = 0; h < sizeB; h++) {
result[h] = o;
if (o < steps.size() && steps.get(o) == h) {
o++;
}
}
Note: this can be optimized further - the first step generates a random permutation and later strips this down to desired size. Therefore it is just for demonstration purpose that the algorithm itself works as desired.
This appears to be homework. Without giving you code, here's an idea. Call getAllCombinations, store the result in a List, and return a value from a random index in that list. As Howard pointed out in his comment to your question, eliminating recursion, and returning a random combination are separate tasks.

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