Java algorithm for all-pairs - java

Given a collection of integers, what's a Java algorithm that will give all pairs of items as follows..
Given the example collection: [1,3,5], we'd want the output:
[1-1]
[3-3]
[5-5]
[1-3]
[1-5]
[3-5]
Note that ordering is not important, so we want one of [1-3], [3-1] but not both.
This should work with a collection of n numbers, not just the the three numbers as in this example.

Below function should do this
private void printPermutations(int[] numbers) {
for(int i=0;i<numbers.length; i++) {
for (int j=i; j<numbers.length; j++) {
System.out.println("[" + numbers[i] + "-"+ numbers[j] +"]");
}
}
}
Example call to this function
int[] numbers={1,2,3};
printPermutations(numbers);

Sounds like homework...but here it is anyway. Obviously you can do without an ArrayList, etc. - just quick and dirty.
import java.util.ArrayList;
public class Test {
public static void main(String[] args) {
int[] input = {1, 3, 5};
ArrayList<String> output = new ArrayList<String>();
int n = input.length;
for (int left = 0; left < n; left++) {
output.add("["+input[left]+"-"+input[left]+"]");
for (int right = left + 1; right < n; right++) {
output.add("["+input[left]+"-"+input[right]+"]");
}
}
System.out.println(output.toString());
}
}

Here's the logic you want.
function subsequences (arr) {
arr.sort ();
var subseqs = [];
for (var i = 0; i < arr.length; ++i) {
for (var j = i; j < arr.length; ++j) {
subseqs.push ("" + arr [i] + "-" + arr [j]);
}
}
return subseqs;
}

Related

Counting Sort implementation

Hello I am having difficulty implementing a counting sort method in java. I believe the problem comes from the last two loops I have in the method. I am getting an ArrayIndexOutOfBounds exception : 8. I believe this comes from my second to last for loop when at index 5 the value is 8 but I am not sure how to resolve this. Any help is appreciated. Thank you!
In my code k is the highest value in the input array.
Code:
public static void main(String[] args) {
int [] arrayOne = {0,1,1,3,4,5,3,0};
int [] output = Arrays.copyOf(arrayOne, arrayOne.length);
System.out.println(Arrays.toString(arrayOne));
countingSort(arrayOne, output, 5);
System.out.println(Arrays.toString(output));
}
public static void countingSort(int[] input, int[] output , int k){
int [] temp = Arrays.copyOf(input, k+1);
for (int i = 0; i <= k; i++){
temp[i] = 0;
}
for (int j = 0; j <= input.length - 1; j++){
temp[input[j]] = temp[input[j]] + 1;
}
for (int i = 1; i <= k; i++){
temp[i] = temp[i] + temp[i-1];
}
for (int j = input.length; j >= 1; j--){
output[temp[input[j]]] = input[j];
temp[input[j]] = temp[input[j]] - 1;
}
}
The problem is in the first loop because the array temp lenght is 6 and you are doing 7 interations in there.
So at the end of the for it is trying to do temp[6]=0 and the last position of your array is temp[5].
To fix this change your first loop to:
for (int i = 0; i < k; i++){
In the last loop you will get the same exception cause input[8] doesn't exist.
import java.util.Arrays;
public class CountingSort {
public static void main(String[] args) {
int[] input = {0,1,1,3,4,5,3,0};
int[] output = new int[input.length];
int k = 5; // k is the largest number in the input array
System.out.println("before sorting:");
System.out.println(Arrays.toString(input));
output = countingSort(input, output, k);
System.out.println("after sorting:");
System.out.println(Arrays.toString(output));
}
public static int[] countingSort(int[] input, int[] output, int k) {
int counter[] = new int[k + 1];
for (int i : input) { counter[i]++; }
int ndx = 0;
for (int i = 0; i < counter.length; i++) {
while (0 < counter[i]) {
output[ndx++] = i;
counter[i]--;
}
}
return output;
}
}
Above code is adapted from: http://www.java67.com/2017/06/counting-sort-in-java-example.html
this may help but try using the Arraya.sort() method.
e.g:
//A Java program to sort an array of integers in ascending order.
// A sample Java program to sort an array of integers
// using Arrays.sort(). It by default sorts in
// ascending order
import java.util.Arrays;
public class SortExample
{
public static void main(String[] args)
{
// Our arr contains 8 elements
int[] arr = {13, 7, 6, 45, 21, 9, 101, 102};
Arrays.sort(arr);
System.out.printf("Modified arr[] : %s",
Arrays.toString(arr));
}
}
example is a snippet from https://www.geeksforgeeks.org/arrays-sort-in-java-with-examples/
As per algorithm following implementation, I have prepared for the count sort technique
public static int[] countSort(int elements[]) {
int[] sorted = new int[elements.length+1];
int[] range = new int[getMax(elements)+1];
for(int i=0;i<range.length;i++) {
range[i] = getCount(i, elements);
try {
range[i] = range[i]+range[i-1];
}catch(ArrayIndexOutOfBoundsException ae) {
continue;
}
}
for(int i=0;i<elements.length;i++) {
sorted[range[elements[i]]] = elements[i];
range[elements[i]] = range[elements[i]]-1;
}
return sorted;
}
public static int getCount(int value,int[] elements) {
int count = 0;
for(int element:elements) {
if(element==value) count++;
}
return count;
}
public static int getMax(int elements[]) {
int max = elements[0];
for(int i=0;i<elements.length;i++) {
if(max<elements[i]) {
max = elements[i];
}
}
return max;
}
Please review and let me know if any feedback and it is more helpful.
Note :
Non-negative no won't support in the above implementation.
don't use 0th index of the sorted array.

Using the Reverse Method/ Arrays- How to Print out the Reverse

public static void main(String[] args) {
int[] HwArray = new int[10];
int count = 0;
String separate = "";
for (int i = 0; i < HwArray.length; i++) {
System.out.print(separate);
//Generate random numbers
HwArray[i] = (int) (100 + Math.random() * 100);
System.out.println("HwArray[" + i + "]=" + HwArray[i]);
}
int location = linearSearch(HwArray, 150);
System.out.println("\nLinear Search Result: " + location);
}
// Reverse the order of all elements, then print HwArray.
public static int[] reverse(int[] list) {
int[] result = new int[list.length];
for (int i = 0, j = result.length - 1; i < list.length; i++, j--) {
result[j] = list[i];
System.out.println("HwArray[" + i + "]=" + result[j]);
}
return result;
}
public static int linearSearch(int[] list, int key) {
for (int i = 0; i < list.length; i++) {
if (list[i] == key)
return i; //return the index location
}
return -1; //return if number is not found in the index
}
I'm trying to print out the elements in Reverse, but It will only print out the elements. I'm not sure what's wrong.
Please research a little more before asking questions, maybe google "java reverse array". That's what I did, and found that this person asked the same thing. Reversing an Array in Java
The solution is simple:
List<Integer> lst = Arrays.asList(list); //Converts the int "list" into a list.
Collections.reverse(lst); //Reverses the list.
result = list.toArray(lst);

Java set/setElementAt not setting the right value

I need to find all the permutations for a given n(user input) without backtracking.
What i tried is:
import java.util.Scanner;
import java.util.Vector;
class Main {
private static int n;
private static Vector<Vector<Integer>> permutations = new Vector<>();
private static void get_n() {
Scanner user = new Scanner(System.in);
System.out.print("n = ");
n = user.nextInt();
}
private static void display(Vector<Vector<Integer>> permutations) {
for (int i = 0; i < factorial(n) - 1; ++i) {
for (int j = 0; j < n; ++j) {
System.out.print(permutations.elementAt(i).elementAt(j) + " ");
}
System.out.println();
}
}
private static int factorial(int n) {
int result = 1;
for (int i = 1; i <= n; ++i) {
result *= i;
}
return result;
}
private static int max(Vector<Integer> permutation) {
int max = permutation.elementAt(0);
for (int i = 1; i < permutation.size(); ++i)
if (permutation.elementAt(i) > max)
max = permutation.elementAt(i);
return max;
}
// CHECKS FOR ELEMENT COUNT AND 0 - (n-1) APPARITION
public static int validate_permutation(Vector<Integer> permutation) {
// GOOD NUMBER OF ELEMENTS
if (max(permutation) != permutation.size() - 1)
return 0;
// PROPER ELEMENTS APPEAR
for (int i = 0; i < permutation.size(); ++i)
if (!permutation.contains(i))
return 0;
return 1;
}
private static Vector<Integer> next_permutation(Vector<Integer> permutation) {
int i;
do {
i = 1;
// INCREMENT LAST ELEMENT
permutation.set(permutation.size() - i, permutation.elementAt(permutation.size() - i) + 1);
// IN A P(n-1) PERMUTATION FOUND n. "OVERFLOW"
while (permutation.elementAt(permutation.size() - i) == permutation.size()) {
// RESET CURRENT POSITION
permutation.set(permutation.size() - i, 0);
// INCREMENT THE NEXT ONE
++i;
permutation.set(permutation.size() - i, permutation.elementAt(permutation.size() - i) + 1);
}
} while (validate_permutation(permutation) == 0);
// OUTPUT
System.out.print("output of next_permutation:\t\t");
for (int j = 0; j < permutation.size(); ++j)
System.out.print(permutation.elementAt(j) + " ");
System.out.println();
return permutation;
}
private static Vector<Vector<Integer>> permutations_of(int n) {
Vector<Vector<Integer>> permutations = new Vector<>();
// INITIALIZE PERMUTATION SET WITH 0
for (int i = 0; i < factorial(n); ++i) {
permutations.addElement(new Vector<>());
for(int j = 0; j < n; ++j)
permutations.elementAt(i).addElement(0);
}
for (int i = 0; i < n; ++i)
permutations.elementAt(0).set(i, i);
for (int i = 1; i < factorial(n); ++i) {
// ADD THE NEXT PERMUTATION TO THE SET
permutations.setElementAt(next_permutation(permutations.elementAt(i - 1)), i);
System.out.print("values set by permutations_of:\t");
for (int j = 0; j < permutations.elementAt(i).size(); ++j)
System.out.print(permutations.elementAt(i).elementAt(j) + " ");
System.out.println("\n");
}
System.out.print("\nFinal output of permutations_of:\n\n");
display(permutations);
return permutations;
}
public static void main(String[] args) {
get_n();
permutations.addAll(permutations_of(n));
}
}
Now, the problem is obvious when running the code. next_permutation outputs the correct permutations when called, the values are set correctly to the corresponding the vector of permutations, but the end result is a mass copy of the last permutation, which leads me to believe that every time a new permutation is outputted by next_permutation and set into the permutations vector, somehow that permutation is also copied over all of the other permutations. And I can't figure out why for the life of me.
I tried both set, setElementAt, and an implementation where I don't initialize the permutations vector fist, but add the permutations as they are outputted by next_permutation with add() and I hit the exact same problem. Is there some weird way in which Java handles memory? Or what would be the cause of this?
Thank you in advance!
permutations.setElementAt(next_permutation(permutations.elementAt(i - 1)), i);
This is literally setting the vector at permutations(i) to be the same object as permutations[i-1]. Not the same value - the exact same object. I think this the source of your problems. You instead need to copy the values in the vector.

How do you Bubble Sort Largest to Smallest

Sorry am kind of lame at this. I've looked on here for a way to Bubble sort so that I can get an array to go from largest number to smallest. I've found some error in my current iteration of the sort, I can't seem to get the array to sort once it compares a smaller number to a bigger number. Here what I am using thus far.
//bubble sort
for(int i=0;i<size;i++)
{
for(int v=1;i<(size-i);i++)
{
if(arrInt[v-1]<arrInt[v])
{
temp = arrInt[v-1];
arrInt[v-1]=arrInt[v];
arrInt[v]=temp;
}
}
}
int n = arrInt.length;
int temp = 0;
for (int i = 0; i < n; i++) {
for (int v = 1; v < (n - i); v++) {
if (arrInt[v - 1] < arrInt[v]) {
temp = arrInt[v - 1];
arrInt[v - 1] = arrInt[v];
arrInt[v] = temp;
}
}
}
Try this.
Update - Replaced j with v
The problem is the inner loop should be from 1 to n. Instead your inner loop stops early.
Also you are testing i in the inner loop condition, but you should be testing v.
Try this:
//bubble sort
for(int i=0;i<size;i++)
{
for(int v=1;v<size;v++)
{
if(arrInt[v-1]<arrInt[v])
{
temp = arrInt[v-1];
arrInt[v-1]=arrInt[v];
arrInt[v]=temp;
}
}
}
Bubble Sort Method for Descending Order
public static void BubbleSort( int[ ] arr){
int records=arr.length-1;
boolean notSorted= true; // first pass
while (notSorted) {
notSorted= false; //set flag to false awaiting a possible swap
for( int count=0; count < records; count++ ) {
if ( arr[count] < arr[count+1] ) { // change to > for ascending sort
arr[count]=arr[count]+arr[count+1];
arr[count+1]=arr[count]-arr[count+1];
arr[count]=arr[count]-arr[count+1];
notSorted= true; //Need to further check
}
}
}
}
In this method when array is sorted then it does not check further.
Usually I implement Bubble sort like this,
for(int i=0;i<size-1;i++) {
for(int v=0;v<(size-1-i);v++){
if(arrInt[v]<arrInt[v+1])
{
temp = arrInt[v];
arrInt[v]=arrInt[v+1];
arrInt[v+1]=temp;
}
}
}
You know what is the problem is, in your code??? Look at the inner loop, you are initializing v but checking and changing i. Must be a copy paste error.. :P
Hope it helped...
Here you go:
int x = 0;
for(int i = 0; i < array.length; i++)
for(int j = 0; j < array.length; j++)
if(array[i] > array[j + 1])
x = array[j + 1];
array[j + 1]= array[i];
array[i] = x;
x here is a temporary variable you only need for this operation.
here's a complete running program for you. Hope that keeps you motivated
package test;
public class BubbleSort {
private static int[] arr = new int[] { 1, 45, 65, 89, -98, 2, 75 };
public static void sortBubbleWay() {
int size = arr.length-1;
int temp = 0; // helps while swapping
for (int i = 0; i < size - 1; i++) {
for (int j = 0; j < size - i; j++) {
if (arr[j] < arr[j+1]) { /* For decreasing order use < */
temp = arr[j];
arr[j] = arr[j + 1];
arr[j + 1] = temp;
}
}
}
}
private static void showShortedArray() {
for (int elt : arr) {
System.out.println(elt);
}
}
public static void main(String args[]) {
sortBubbleWay();
showShortedArray();
}
}//end of class

Nested For Loops Dynamic Depth Java

Hello I'm new to programming and registered to this forum :)
So I created a little program with nested for loops that prints out all combinations of five numbers which can have a value from 0 to 5. With nested for-loops this works fine. But isn't there a cleaner solution? I tried it with calling the for loop itself, but my brain doesn't get the solution.. :(
//my ugly solution
int store1, store2, store3, store4, store5;
for (int count = 0; count <= 5; count++) {
store1 = count;
for (int count2 = 0; count2 <= 5; count2++) {
store2 = count2;
for (int count3 = 0; count3 <= 5; count3++) {
store3 = count3;
for (int count4 = 0; count4 <= 5; count4++) {
store4 = count4;
System.out
.println(store1 + " " + store2 + " " + store4);
}
//I'm trying around with something like this
void method1() {
for (int count = 0; count <= 5; count++) {
list.get(0).value = count;
count++;
method2();
}
}
void method2() {
for (int count = 0; count <= 5; count++) {
list.get(1).value = count;
count++;
method1();
}
}
Usually when people try to use recursion or functional, using a loop is simpler or faster. However, in this case recursion is the simpler option in combination with a loop.
public static void method(List<Integer> list, int n, int m) {
if (n < 0) {
process(list);
} else {
for(int i = 0; i < m; i++) {
list.set(n, i);
method(list, n-1, m);
}
}
}
I know that you are trying combinations but this might help.
Permutation with repetitions
When you have n things to choose from ... you have n choices each time!
When choosing r of them, the permutations are:
n × n × ... (r times) = n^r
//when n and r are known statically
class Permutation
{
public static void main(String[] args)
{
char[] values = {'a', 'b', 'c', 'd'};
int n = values.length;
int r = 2;
int i = 0, j = 0;
for(i=0; i<n; i++)
{
for(j=0; j<n; j++)
{
System.out.println(values[j] + " " + values[i]);
}
}
}
}
//when n and r are known only dynamically
class Permutation
{
public static void main(String[] args)
{
char[] values = {'a', 'b', 'c', 'd'};
int n = values.length;
int r = 2;
int i[] = new int[r];
int rc = 0;
for(int j=0; j<Math.pow(n,r); j++)
{
rc=0;
while(rc<r)
{
System.out.print(values[i[rc]] + " ");
rc++;
}
System.out.println();
rc = 0;
while(rc<r)
{
if(i[rc]<n-1)
{
i[rc]++;
break;
}
else
{
i[rc]=0;
}
rc++;
}
}
}
}
Something like this?
// Print all sequences of len(list)+n numbers that start w/ the sequence in list
void method( list, n ) {
if ( list.length == n )
// print list
else for ( int c=0; c<=5; c++ ) {
// add c to end of list
method( list, n );
// remove c from end of list
}
}
Initial call would be method( list, 5 ) where list is initially empty.
here another interative but less elegant version
while (store1 < 6) {
store5++;
if (store5 == 6) {
store5 = 0;
store4++;
}
if (store4 == 6) {
store4 = 0;
store3++;
}
if (store3 == 6) {
store3 = 0;
store2++;
}
if (store2 == 6) {
store2 = 0;
store1++;
}
System.out.println(store1 + " " + store2 + " " + store3 + " " + store4 + " " + store5 + " ");
}
The simplest code I can think of would tackle the problem with an entirely different approach:
public class TestA {
public static void main(String[] argv) {
for (int i=0; i<(6 * 6 * 6 * 6 * 6); ++i) {
String permutation = Integer.toString(i, 6);
System.out.println("00000".substring(permutation.length()) + permutation);
}
}
}
From your text (not your code) I gather you have 5 places and 6 symbols, which suggests there are 6 to the 5th power combinations. So the code just counts through those numbers and translates the number to the output combination.
Since this can also be viewed as a number system with base 6, it makes use of Integer.toString which already has formatting code (except the leading zeros) for this. Leading zeros are added where missing.

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