count inversions of 2d array - java

I want to find the number of inversions possible in a 2D array. I have written this program and need ways to speed it up:
import java.io.*;
import java.util.*;
class Solution
{
static long merge(int[] array, int[] left, int[] right)
{
int i = 0, j = 0, count = 0;
while (i < left.length || j < right.length)
{
if (i == left.length)
{
array[i+j] = right[j];
j++;
}
else if (j == right.length)
{
array[i+j] = left[i];
i++;
}
else if (left[i] <= right[j])
{
array[i+j] = left[i];
i++;
}
else
{
array[i+j] = right[j];
count += left.length-i;
j++;
}
}
return count;
}
static long invCount(int[] array)
{
if (array.length < 2)
return 0;
int m = (array.length + 1) / 2;
int left[] = Arrays.copyOfRange(array, 0, m);
int right[] = Arrays.copyOfRange(array, m, array.length);
return invCount(left) + invCount(right) + merge(array, left, right);
}
public static void main(String args[])
{
Scanner sc=new Scanner(System.in);
int n=sc.nextInt();
long inversions=0;
int[][] arr2=new int[n][n];
if(n<0)
{
System.out.println("0");
return;
}
for (int i=0;i<n;i++)
for (int j=0;j<n;j++)
{
arr2[i][j]=sc.nextInt();
//arr2[i][j]=arr[i][j];
}
long inv=0;
int counter=0;
for(int i=0;i<n-1;i++)
{
for(int j=i+1;j<n;j++)
{
while(counter<n)
{
for(int z=counter;z<n;z++)
{
//System.out.println("comparing "+arr2[i][counter]+" with "+arr2[j][z]);
if(arr2[i][counter]>arr2[j][z])
inv++;
}
counter++;
//System.out.println("end while---------\n");
}
//System.out.println("Row change#########\n");
counter=0;
}
}
for (int i=0;i<n;i++)
inv=inv+invCount(arr2[i]);
System.out.println(inv);
}
}
Can this program be optimized? Or is this program wrong somewhere?
I got correct output for 2 test cases which are: 4 inversions for 2D array:
9 7
1 2
and 19 inversions for 2D array:
9 7 6
1 2 5
2 3 1
Thanks for help.:)

inversionCount=0;
for(R=0;R<sizeOf2DArray;R++) {
for(C=0;C<sizeOf2DArray;C++) {
firstElem=inputArray[R][C];
for(int j=R;j<sizeOf2DArray;j++) {
for(int i=C;i<sizeOf2DArray;i++) {
secondElem=inputArray[j][i];
if(firstElem>secondElem) {
inversionCount++;
}
}
}
}
}
System.out.println(inversionCount);

Related

Method to find second highest number in an array in java

Getting output of 0 each time when im ment to get 3 looked over my code my not sure where i have gone wrong i can do it without using a method i know but just trying to practice java
public class App {
public static int second(int a[],int n) {
int[] arr = new int [n];
int temp;
for(int i=0;i<n;i++) {
for(int j=i+1;j<n;j++) {
if(arr[i] > arr[j]) {
temp = arr[i];
arr[i] = arr[j];
arr[j] = temp;
}
}
}
return arr[n-2];
}
public static void main(String[] args) {
int[] arr = {1,3,2,5,3};
int n = 5;
int result = second(arr,n);
System.out.println(result);
}
}
You could change the array parameter name arr and remove the declaration or copy the values from a to arr.
public static int second(int arr[],int n) {
int temp;
for(int i=0;i<n;i++) {
for(int j=i+1;j<n;j++) {
if(arr[i] > arr[j]) {
temp = arr[i];
arr[i] = arr[j];
arr[j] = temp;
}
}
}
return arr[n-2];
}
The reason you get zero is because the primitive int cannot be null. So, when you create the array of length 5, it starts out filled with zeroes.
Doing it by using streams:
public static int second(int a[]) {
return Arrays.stream(a)
.sorted()
.skip(a.length - 2)
.findFirst()
.getAsInt();
}
I removed the second argument. It sorts your array and skips all the elements prior to the one you want, before picking the now first element.
public static int second(int[] arr) {
int highest = arr[0];
int second = 0;
for (int i = 1; i < arr.length; i++) {
int j = arr[i];
if (j >= highest) {
highest = j;
} else if (j > second) {
second = j;
}
}
return second;
}
public static void main(String[] args) {
int[] arr = {1, 3, 2, 5, 3};
int result = second(arr);
System.out.println(result);
}
Here is one way that doesn't require sorting.
int[] arr = { 10, 2, 3, 19, 2, 3, 5 };
System.out.println(second(arr));
prints
10
set largest to the first value in the array
set secondLargest to the smallest possible
now iterate thru the array.
if the current value is greater than largest:
replace secondLargest with Largest
replace largest with current value
else check to see if current value is greater than secondLargest and assign if true.
public static int second(int arr[]) {
int largest = arr[0];
int secondLargest = Integer.MIN_VALUE;
for (int i = 1; i < arr.length; i++) {
if (arr[i] > largest) {
secondLargest = largest;
largest = arr[i];
} else if (arr[i] > secondLargest) {
secondLargest = arr[i];
}
}
return secondLargest;
}
public static int second(int arr[],int n) {
int temp;
if(arr.length < 2) {
return -1;
}
else {
for(int i=0;i<n;i++) {
for(int j=i+1;j<n;j++) {
if(arr[i] > arr[j]) {
temp = arr[i];
arr[i] = arr[j];
arr[j] = temp;
}
}
}
return arr[n-2];
}
public static void main(String[] args) {
// TODO Auto-generated method stub
int a[] = {23,14,56,77,66,67};
int high = 0;
int sec = 0;
for(int i = 0 ; i <a.length; i++){
if(high < a[i]){
sec = high;
high = a[i];
}
else if(sec < a[i]){
sec = a[i];
}
}
System.out.println("the first highest number is " + high);
System.out.println("the second highest number is " + sec);
}
}
public static int sec(){
int arr[] = {12,3,67,4,5,65};
int high = 0;
int low = 0;
for(int i = 0 ; i < arr.length ; i ++){
if(high < arr[i]){
low = high;
high = arr[i];
}
else if(low < arr[i]){
low = arr[i];
}
}
return low;
}
public static void main(String[] args) {
// TODO Auto-generated method stub
sch obj = new sch();
int a = obj.sec();
System.out.println(a);
}
}
package com;
public class FindSecondHighestNumberInArray {
public static void main(String[] args) {
int []arrayOfIngeger = {-23,-989,-878,-2,-5,-3,-4,-123,-345,-98,-675,-98};
int highestNumber = arrayOfIngeger[0];
int secHighestNumber = 0;
for(int i = 1; i < arrayOfIngeger.length; i++ ) {
if(highestNumber < arrayOfIngeger[i]) {
secHighestNumber = highestNumber;
highestNumber = arrayOfIngeger[i];
}else if(secHighestNumber < arrayOfIngeger[i] && arrayOfIngeger[i] != highestNumber) {
secHighestNumber = arrayOfIngeger[i];
}
}
System.out.println("second Highest Number in Array : "+secHighestNumber);
}
}

Finding contiguous array

I am trying to get an output of [4,6,6,7] with length 4 where arr[i] <= arr[i+1] where it is non-decreasing and it is contiguous. I know what i have to do but i dont know how to do it. my code prints out [3,4,6,6,7]. I am just having trouble on the contiguous part, any help? im not allowed to use extra arrays.
public static void ascentLength(int arr[], int size) {
int length = 0;
int index = 0;
int count = 1;
for (int i = 0; i < size-1; i++) {
index = i;
if (arr[0] <= arr[i+1] && count >0) {
System.out.println(arr[i]+ " index:" + index);
length++;
count++;
}
if (arr[0] >= arr[i+1]) {
}
}
System.out.println("length: " + length);
}
/* Driver program to test above function */
public static void main(String[] args) {
int arr[] = {5, 3, 6, 4, 6, 6, 7, 5};
int n = arr.length;
ascentLength(arr, n);
}
Here is my solution, it would be easier, if you could work with List, but this works for arrays:
public static void ascentLength(int arr[], int size) {
if(size == 1) System.out.println("length: 1");
// variables keeping longest values
int longestStartingIndex = 0;
int longestLength = 1;
// variables keeping current values
int currentStartingIndex = 0;
int currentCount = 1;
for (int i = 1; i < size; i++) {
if (arr[i-1] <= arr[i]) {
currentCount++;
} else {
// check if current count is the longest
if(currentCount > longestLength) {
longestLength = currentCount;
longestStartingIndex = currentStartingIndex;
}
currentStartingIndex = i;
currentCount = 1;
}
}
if(currentCount > longestLength) {
longestLength = currentCount;
longestStartingIndex = currentStartingIndex;
}
}

merge sort in java not working please review my code and suggest me the required corrections [closed]

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this is my java code for merge sort algorithm.I have used merge(int l[],int r[],int a[]) method to merge the sorted array using divide and conquer algo.the mergesort(int a[]) is used to partition the complete arrar into two halves recursively until it returns after the base condition is satisfied.
The correct output is not coming.There is some mistake in the algo.
Please let me the know the exact problem.Thanks in advance.
import java.util.Scanner;
class sort
{
void merge(int l[],int r[],int a[])
{
int l1=l.length;
int l2=r.length;
int i=0;
int j=0;
int k=0;
while(i<l1&&j<l2)
{
if(l[i]<=r[j])
{
a[k]=l[i];
k++;
i++;
}
else
{
a[k]=r[j];
k++;
j++;
}
while(i<l1)
{
a[k]=l[i];
i++;
k++;
}
while(j<l2)
{
a[k]=r[j];
j++;
k++;
}
}
}
void mergesort(int a[])
{
if(a.length<2)
return;
int mid=a.length/2;
int left[]=new int[mid];
int right[]=new int[a.length-mid];
for(int i=0;i<mid;i++)
{
left[i]=a[i];
}
for(int i=mid;i<a.length;i++)
{
right[i-mid]=a[i];
}
mergesort(left);
mergesort(right);
merge(left,right,a);
}
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int n;
n = sc.nextInt();
int a[] = new int[n];
for (int i = 0; i < n; i++) {
a[i] = sc.nextInt();
}
for (int i = 0; i < n; i++) {
System.out.print(a[i] + " ");
}
System.out.println();
sort obj = new sort();
obj.mergesort(a);
for (int i = 0; i < n; i++)
System.out.print(a[i]+" ");
}
}
Do it as follows:
import java.util.Scanner;
public class Sort {
void merge(int[] a, int[] l, int[] r, int left, int right) {
int i = 0;
int j = 0;
int k = 0;
while (i < left && j < right) {
if (l[i] <= r[j]) {
a[k++] = l[i++];
} else {
a[k++] = r[j++];
}
}
while (i < left) {
a[k++] = l[i++];
}
while (j < right) {
a[k++] = r[j++];
}
}
void mergesort(int a[], int n) {
if (n < 2)
return;
int mid = n / 2;
int left[] = new int[mid];
int right[] = new int[n - mid];
for (int i = 0; i < mid; i++) {
left[i] = a[i];
}
for (int i = mid; i < n; i++) {
right[i - mid] = a[i];
}
mergesort(left, mid);
mergesort(right, n - mid);
merge(a, left, right, mid, n - mid);
}
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
System.out.print("Enter the number of intgers: ");
int n = sc.nextInt();
int a[] = new int[n];
for (int i = 0; i < n; i++) {
System.out.print("Enter an intger: ");
a[i] = sc.nextInt();
}
for (int i = 0; i < n; i++) {
System.out.print(a[i] + " ");
}
System.out.println();
Sort obj = new Sort();
obj.mergesort(a,n);
for (int i = 0; i < n; i++)
System.out.print(a[i] + " ");
}
}
A sample run:
Enter the number of intgers: 10
Enter an intger: 34
Enter an intger: 2
Enter an intger: -7
Enter an intger: 78
Enter an intger: 45
Enter an intger: 4
Enter an intger: 12
Enter an intger: -10
Enter an intger: 6
Enter an intger: 60
34 2 -7 78 45 4 12 -10 6 60
-10 -7 2 4 6 12 34 45 60 78
Please check https://en.wikipedia.org/wiki/Merge_sort for more details.
Your merge method does not handle tails of the arrays to be merged. Once one finish scanning one of the arrays you must continue iterating over the second array until it is also finished.
Consider the following implementation taken from here:
/* Merge the temp arrays back into arr[l..r]*/
i = 0; // Initial index of first subarray
j = 0; // Initial index of second subarray
k = l; // Initial index of merged subarray
while (i < n1 && j < n2)
{
if (L[i] <= R[j])
{
arr[k] = L[i];
i++;
}
else
{
arr[k] = R[j];
j++;
}
k++;
}
/* Copy the remaining elements of L[], if there
are any */
while (i < n1)
{
arr[k] = L[i];
i++;
k++;
}
/* Copy the remaining elements of R[], if there
are any */
while (j < n2)
{
arr[k] = R[j];
j++;
k++;
}
Your code lacks the bottom 2 loops that handle the tails of either array.

Merge sort algorithm not working

Here is my code for a mergesort in java:
public class MergeSort {
public static void mergesort(int[] input) {
int inputSize = input.length;
if(inputSize < 2) {
return;
}
int[] left = new int[inputSize/2];
int[] right = new int[inputSize/2];
int count = 0;
for(int i=0; i < inputSize/2; i++) {
left[i] = input[i];
}
for(int i=inputSize/2; i<inputSize; i++) {
right[count] = input[i];
count++;
}
mergesort(left);
mergesort(right);
merge(left, right, input);
}
public static int[] merge(int[] returnArr, int[] left, int[] right) {
int leftSize = left.length;
int rightSize = right.length;
int i = 0;
int j =0;
int k = 0;
int count = 0;
while(i < leftSize && j < rightSize) {
if(left[i] <= right[j]) {
returnArr[k] = left[i];
i++;
}
else {
returnArr[k] = right[j];
j++;
}
k++;
}
while(i<leftSize) {
returnArr[k] = left[i];
i++;
k++;
}
while(j < rightSize) {
returnArr[k] = right[j];
j++;
k++;
}
for(int x=0; x<returnArr.length; x++) {
System.out.print(returnArr[x]);
}
return returnArr;
}
public static void main(String[] args) {
int[] array = {3,4,6,2,7,1,8,6};
mergesort(array);
}
}
My issue is that I'm getting an out of bounds exception.
I'm using the debugger and have found that after mergesort(left) and mergesort(right) have finished recursively running.
The arrays left and right, which go into the merge function, have the values [3] and [4] respectively, which is correct.
But when the debugger jumps into the merge function, left has value [3] and right, for some reason is length 2 and has the value [3,4].
This is the source of my out of bounds exception, though I'm not sure why when the merge function runs for its first time, it changes the value of "right".
One problem that is readily visible is that the you shouldn't make 2 arrays of size inputSize/2. Make two arrays of inputSize/2 and inputsize-inputSize/2. Otherwise the algorithm would fail for odd length array.
Also call the function with proper order of the arguments. merge( input, left, right);
I fixed your code and merged them to 1 method, left.length and right.length are limited by input.length so you only need to loop by input.length:
public static void mergeSort(int[] input)
{
if (input.length < 2)
{
return;
}
int[] left = new int[input.length / 2];
int[] right = new int[input.length - input.length / 2];
for (int i = 0; i < input.length; i++)
{
if (i < input.length / 2)
left[i] = input[i];
else
right[i - input.length / 2] = input[i];
}
mergeSort(left);
mergeSort(right);
for (int i = 0, l = 0, r = 0; i < input.length; i++)
{
if (l >= left.length)
{
input[i] = right[r];
r++;
}
else if (r >= right.length)
{
input[i] = left[l];
l++;
}
else
{
if (left[l] >= right[r])
{
input[i] = right[r];
r++;
}
else
{
input[i] = left[l];
l++;
}
}
}
}
you had two problems with your code:
1- as #coderredoc said: your left and right array sizes are wrong:
exemple: if you had an array of 7 elements, your left and right arrays would have a size of 7/2 = 3 so you would have a total of 6 elements in left and right arrays and not 7.
2- you are calling merge function in the mergeSort function with wrong parameters order:
it should be returnArr, left, right and not left,right, returnArr.
Explanation:
if you pass the left array as the first parameter, it would merge the right and the returnArr in the left array. But your left array has a size of 3 and the sum of the sizes of the others is 7 + 3 = 10 that's why you got an OutOfBoundsException.
you need to call merge(input,left,right);
here is the final version:
public class MergeSort {
public static void mergesort(int[] input) {
int inputSize = input.length;
if(inputSize < 2) {
return;
}
int[] left = new int[inputSize/2];
int[] right = new int[inputSize-inputSize/2];
int count = 0;
for(int i=0; i < inputSize/2; i++) {
left[i] = input[i];
}
for(int i=inputSize/2; i<inputSize; i++) {
right[count] = input[i];
count++;
}
mergesort(left);
mergesort(right);
merge(input,left, right);
}
public static int[] merge(int[] returnArr, int[] left, int[] right) {
int leftSize = left.length;
int rightSize = right.length;
int i = 0;
int j =0;
int k = 0;
int count = 0;
while(i < leftSize && j < rightSize) {
if(left[i] <= right[j]) {
returnArr[k] = left[i];
i++;
}
else {
returnArr[k] = right[j];
j++;
}
k++;
}
while(i<leftSize) {
returnArr[k] = left[i];
i++;
k++;
}
while(j < rightSize) {
returnArr[k] = right[j];
j++;
k++;
}
for(int x=0; x<returnArr.length; x++) {
System.out.print(returnArr[x]);
}
return returnArr;
}
public static void main(String[] args) {
int[] array = {3,4,6,2,7,1,8,6};
mergesort(array);
}
}

Generating permutations of an int array using java -- error

I am writing a JAVA code to generate all permutations of a integer array.
Though I am getting the number of permutations right, the permutations themselves are not correct.
On running I obtain:
Input array Length
3
1
2
3
0Permutation is
1, 2, 3,
##########################
1Permutation is
1, 3, 2,
##########################
2Permutation is
3, 1, 2,
##########################
3Permutation is
3, 2, 1,
##########################
4Permutation is
1, 2, 3,
##########################
5Permutation is
1, 3, 2,
##########################
6 number of permutations obtained
BUILD SUCCESSFUL (total time: 3 seconds)
public class PermulteArray {
public static int counter = 0;
public static void Permute(int[] input, int startindex) {
int size = input.length;
if (size == startindex + 1) {
System.out.println(counter + "Permutation is");
for (int i = 0; i < size; i++) {
System.out.print(input[i] + ", ");
}
System.out.println();
System.out.println("##########################");
counter++;
} else {
for (int i = startindex; i < size; i++) {
int temp = input[i];
input[i] = input[startindex];
input[startindex] = temp;
Permute(input, startindex + 1);
}
}
}
public static void main(String[] args) {
Scanner in = new Scanner(System.in);
System.out.println("Input array Length");
int arraylength = in.nextInt();
int[] input = new int[arraylength];
for (int i = 0; i < arraylength; i++) {
input[i] = in.nextInt();
}
counter = 0;
Permute(input, 0);
System.out.println(counter + " number of permutations obtained");
}
}
int temp=input[i];
input[i]=input[startindex];
input[startindex]=temp;
Permute(input, startindex+1);
You've swapped an element before calling Permute but you need to swap it back again afterwards to keep consistent positions of elements across iterations of the for-loop.
This is the best solution I have seen so far :
public static void main(String[] args) {
int[] a = { 1, 2, 3, 4, 5, 6 };
permute(0, a);
}
public static void permute(int start, int[] input) {
if (start == input.length) {
//System.out.println(input);
for (int x : input) {
System.out.print(x);
}
System.out.println("");
return;
}
for (int i = start; i < input.length; i++) {
// swapping
int temp = input[i];
input[i] = input[start];
input[start] = temp;
// swap(input[i], input[start]);
permute(start + 1, input);
// swap(input[i],input[start]);
int temp2 = input[i];
input[i] = input[start];
input[start] = temp2;
}
}
check this out
for (int i = startindex; i < input2.length; i++) {
char[] input = input2.clone();
char temp = input[i];
input[i] = input[startindex];
input[startindex] = temp;
permute(input, startindex + 1);
}
//This will give correct output
import java.util.Scanner;
public class PermulteArray {
public static int counter = 0;
public static void Permute(int[] input, int startindex) {
int size = input.length;
if (size == startindex + 1) {
System.out.println(counter + "Permutation is");
for (int i = 0; i < size; i++) {
System.out.print(input[i] + ", ");
}
System.out.println();
System.out.println("##########################");
counter++;
} else {
for (int i = startindex; i < size; i++) {
int temp = input[i];
input[i] = input[startindex];
input[startindex] = temp;
Permute(input, startindex + 1);
temp = input[i];
input[i] = input[startindex];
input[startindex] = temp;
}
}
}
public static void main(String[] args) {
Scanner in = new Scanner(System.in);
System.out.println("Input array Length");
int arraylength = in.nextInt();
int[] input = new int[arraylength];
for (int i = 0; i < arraylength; i++) {
input[i] = in.nextInt();
}
counter = 0;
Permute(input, 0);
System.out.println(counter + " number of permutations obtained");
}
}
You can solve this using recursive calls.
https://github.com/Pratiyush/Master/blob/master/Algorithm%20Tutorial/src/arrays/Permutations.java
public void swap(int[] arr, int i, int j)
{
int tmp = arr[i];
arr[i] = arr[j];
arr[j] = tmp;
}
public void permute(int[] arr, int i)
{
if (i == arr.length)
{
System.out.println(Arrays.toString(arr));
return;
}
for (int j = i; j < arr.length; j++)
{
swap(arr, i, j);
permute(arr, i + 1); // recurse call
swap(arr, i, j); // backtracking
}
}
public static void main(String[] args) {
Permutations permutations = new Permutations();
int[] arr = {1, 2, 3,4};
permutations.permute(arr, 0);
}
Also, other approaches are available in
http://www.programcreek.com/2013/02/leetcode-permutations-java/
http://www.programcreek.com/2013/02/leetcode-permutations-ii-java/
public class PermuteArray {
public static void permute(char[] input2, int startindex) {
if (input2.length == startindex) {
displayArray(input2);
} else {
for (int i = startindex; i < input2.length; i++) {
char[] input = input2.clone();
char temp = input[i];
input[i] = input[startindex];
input[startindex] = temp;
permute(input, startindex + 1);
}
}
}
private static void displayArray(char[] input) {
for (int i = 0; i < input.length; i++) {
System.out.print(input[i] + "; ");
}
System.out.println();
}
public static void main(String[] args) {
char[] input = { 'a', 'b', 'c', 'd'};
permute(input, 0);
}
}
import java.util.ArrayList;
public class RecursivePermGen {
void permGen(int n, int m, ArrayList<Integer> cur) {
if(m == 0) {
System.out.println(cur);
return;
}
for(int i = 1; i <= n; i++) {
cur.add(0, i);
permGen(n, m-1, cur);
cur.remove(0);
}
}
public static void main(String[] args) {
RecursivePermGen pg = new RecursivePermGen();
ArrayList<Integer> cur = new ArrayList<Integer>();
pg.permGen(2, 2, cur);
}
}
I have simple answer for this question, you can try with this.
public class PermutationOfString {
public static void main(String[] args) {
permutation("123");
}
private static void permutation(String string) {
printPermutation(string, "");
}
private static void printPermutation(String string, String permutation) {
if (string.length() == 0) {
System.out.println(permutation);
return;
}
for (int i = 0; i < string.length(); i++) {
char toAppendToPermutation = string.charAt(i);
String remaining = string.substring(0, i) + string.substring(i + 1);
printPermutation(remaining, permutation + toAppendToPermutation);
}
}
}
A solution i have used several times (mostly for testing purposes) is in the following gist. It is based on the well-known algorithm to generate permutations in lexicographic order (no recursion):
/**
* Compute next (in lexicographic order) permutation and advance to it.
*
* Find greater index i for which a j exists, such that:
* j > i and a[i] < a[j] (i.e. the 1st non-inversion).
* For those j satisfying the above, we pick the greatest.
* The next permutation is provided by swapping
* items at i,j and reversing the range a[i+1..n]
*/
void advanceToNext() {
// The array `current` is the permutation we start from
// Find i when 1st non-inversion happens
int i = n - 2;
while (i >= 0 && current[i] >= current[i + 1])
--i;
if (i < 0) {
// No next permutation exists (current is fully reversed)
current = null;
return;
}
// Find greater j for given i for 1st non-inversion
int j = n - 1;
while (current[j] <= current[i])
--j;
// Note: The range a[i+1..n] (after swap) is reverse sorted
swap(current, i, j); // swap current[i] <-> current[j]
reverse(current, i + 1, n); // reverse range [i+1..n]
}
A complete solution (in the form of a class) lies here:
https://gist.github.com/drmalex07/345339117fef6ca47ca97add4175011f

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