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What is important to note when dealing with Data Structure and Algorithm is that there are no shortcuts. The following steps recommended by Data Structure and Algorithms experts should be followed.
1. Learning both fundamentals and theory. This will consist of the following topics, Algorithms, collection, arrays, complexity analysis, Graphs, Hashtables, Linked lists, Heaps, Research, trees, Sot, and recursions.
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Our C++ Experts have prepared sample assignment solution to demonstrate the quality of our work. All the solutions have been prepared by following a simplistic approach and include step by step explanations. These solutions reflect the in-depth expertise and experience of our online C++ assignment experts.
INSTRUCTIONS: You are writing a program. It must compile, execute and produce the desired output. Use C/C++, Java. You *may* be asked to show that your program compiles, executes and produces the desired output, by scheduling a meeting time with the Instructor.

Write a program to sort a given array A[n] by:
1.       quicksort 
2.       mergesort

1.  Sort the given array using quicksort and output the sorted array. 
2.  Sort the given array using mergesort and output the sorted array.
Your program must have the following function clearly identified and implemented: 
Comparison function - to compare an array element to another array element: - 
LESS(a, b) : if (a < b) return true, else return false. 
Note that all other operators (>, >=, <=, ==, !=) can be computed by making appropriate calls to the above function. 
The above function must increment a counter 'comparison_count' (this will be needed for output). 
Obviously, one of your goals is to minimize the total number of array element comparisons. ABSOLUTELY NO "array element" comparisons outside of this function. 
The program should output the sorted array and the total number of element comparisons taken for each of the sorting methods.

You can assume the elements will be of type 'double'. 
Read the input array from a file named "input.txt". 
This file will have the array elements separated ONLY by "end of line (newline)" characters. 
The first line will have the number of elements (integer). 
Thereafter, each line will contain one element of the array (double). 
No other characters will be present in the file.
For Example:
Test your program with arrays of size ~10,000 or higher. Note that your program must NOT take command line inputs.

Your program will generate 2 output files: 
_quick.txt:  output the sorted array for quicksort (keep same format as the input)  output the total number of comparisons taken 
_merge.txt:  output the sorted array for mergesort (keep same format as the input)  output the total number of comparisons taken 
For example, mine will be deepak_quick.txt and deepak_merge.txt.
using namespace std;
int merge_count = 0;
int quick_count = 0;
void displayArray(double arr[], int n)
    for(int i = 0;i     {
        cout<     }
    cout<<""< }
int partition(double arr[], int start, int end)
    int pivot = arr[start];
    int count = 0;
    for (int i = start + 1; i <= end; i++) {
        if (arr[i] <= pivot)
    int pivotIndex = start + count;
    swap(arr[pivotIndex], arr[start]);
    int i = start, j = end;
    while (i < pivotIndex && j > pivotIndex) {
        while (arr[i] <= pivot) {
        while (arr[j] > pivot) {
        if (i < pivotIndex && j > pivotIndex) {
            swap(arr[i++], arr[j--]);
    return pivotIndex;
void quickSort(double arr[], int start, int end)
    if (start >= end)
    int p = partition(arr, start, end);
    quickSort(arr, start, p - 1);
    quickSort(arr, p + 1, end);
void merge(double values[], int leftFirst, int leftLast, int rightFirst, int rightLast){
        double temparray[1000];
        int index = leftFirst;
        int saveFirst = leftFirst;
        while((leftFirst <= leftLast)  && ( rightFirst <= rightLast)){//compare and select smallest from two subarrays
            if(values[leftFirst] < values[rightFirst]){
                temparray[index]  = values[leftFirst]; //smallest assigned to temp
                temparray[index]  = values[rightFirst];
            merge_count++;  //count of comaparisons done during merge. One comparison is done per iteration of while loop.
        while(leftFirst <= leftLast){
            temparray[index] = values[leftFirst];
        while(rightFirst <= rightLast){
            temparray[index] = values[rightFirst];
        for(index = saveFirst; index <= rightLast; index++)//copies from temp array to values array
            values[index] = temparray[index];
void mergesort(double a[], int start, int end){ 
    if(start < end){
        int mid = (start+end)/2;  
        mergesort(a,start, mid);
        merge(a, start,mid, mid+1, end);
void writeToFile(string file_name,double arr[], int size,int count)
    ofstream file;
    file<     for(int i =0;i     {
        file << arr[i] <<"\n";
    file<<"Number of comparision: "<     file.close();
int main()
    // reading the file
    ifstream file;
        string size;
        getline(file, size);
        int l = stoi(size);
        double arr[1000];
        double temp_arr[1000];
        int index = 0;
        double element;
        string data;
            getline(file, data);
            element = stod(data);
            arr[index] = element;
            temp_arr[index] = element;
        cout<<"Array Read From File"<         displayArray(arr,l);
        cout<<"Array After Merge Sort"<         displayArray(arr,l);
        cout<<"Number Of Comparision In Merge Sort: "<        
        quickSort(temp_arr, 0, l-1);
        cout<<"Array After Quick Sort"<         displayArray(temp_arr,l);
        cout<<"Number Of Comparision In Quick Sort: "<      
        writeToFile("merge.txt", arr,l, merge_count);
        writeToFile("quick.txt", temp_arr,l, quick_count);
        cout<<"Data Writtien To File"<     }
        cout<<"Cannot open the file input.txt"<     }
    return 0;

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