Sorting Technique
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This document discusses and provides code examples for three sorting algorithms: insertion sort, selection sort, and quicksort. It includes pseudocode for insertion sort and describes its worst case performance on sample data. Selection sort code is shown along with an example of its worst case. Quicksort is briefly explained. Merge sort is also listed along with sample data being sorted.
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![ALGO - INSERTION SORT (N, A)
A : Array
N : Length of Array A[]
Start Algo
For i:=1 to N-1 do
value := A[i]
j := i-1
while j >= 0 and A[j] > value do
A[j+1] := A[j]
j := j-1
endwhile
A[j+1] = value
Endfor
End Algo](https://image.slidesharecdn.com/sorting-150206030125-conversion-gate02/85/Sorting-Technique-2-320.jpg)
![Program – Insertion Sort
#include<iostream>
using namespace std;
main()
{
int A[6] = {6,5,4,3,2,1};
int N=6;
int i,j,val;
for(i=1;i<N;i++)
{
val=A[i];
j=i-1;
while(j>=0 && A[j]>val)
{
A[j+1]=A[j];
j=j-1;
}
A[j+1]=val;
}
cout<<endl;
for(int i = 0 ; i<N ; i++)
cout<<A[i]<<" ";
system("pause");
}](https://image.slidesharecdn.com/sorting-150206030125-conversion-gate02/85/Sorting-Technique-3-320.jpg)
![Program – Selection Sort
#include<iostream>
using namespace std;
main()
{
int A[6] = {5,2,6,4,3,1};
int N=6;
int i,sel=0,min,index,swap=0, temp;
//Find smallest number and swap with selected index with each iteration of outer loop
while(sel<N)
{
min = A[sel];
for(i = sel; i< N; i++)
{
if(A[i]<min) //if smaller number is found
{
min=A[i];
index=i; // save index of smaller number
swap=1; // swapping required..
}
}
//swapping
if(swap==1)
{
A[sel] = A[sel] + A[index]; // a = a+b
A[index] = A[sel] - A[index]; // b = a - b
A[sel] = A[sel] - A[index]; // a = a-b
}
sel++;
swap=0;
}
for(int i = 0 ; i<N ; i++)
cout<<A[i]<<" ";
system("pause");
}](https://image.slidesharecdn.com/sorting-150206030125-conversion-gate02/85/Sorting-Technique-7-320.jpg)
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#include
using namespace std;
class Array
{
private:
int start;
int end;
int *array;
public:
Array(int n);
Array(int n, int m);
int &operator[](int index);
Array &operator=(Array a);
bool operator==(Array &a);
bool operator!=(Array &a);
friend ostream &operator<<(ostream &out, Array &a);
friend Array &operator+(Array &a, Array&b);
friend Array &operator-(Array &a, Array&b);
friend Array &operator*(Array &a, Array&b);
friend Array &operator/(Array &a, Array&b);
};
Array::Array(int n)
{
start = 0;
end = n-1;
array = new int[n];
for (int i = 0; i < n; i++)
array[i] = i+1;
}
Array::Array(int n, int m)
{
start = n;
end = m-1;
array = new int[m-n];
for (int i = 0; i < m-n; i++)
array[i] = start + i;
}
int &Array::operator[](int index)
{
if (index >= start && index <= end)
{
return (array[index-start]);
}
cout << \"Error: Index out of bounds.\" << endl;
int temp = 0;
return temp;
//return *array;
}
Array &Array::operator=(Array a)
{
start = a.start;
end = a.end;
for(int i = 0; i < end - start; ++i)
{
array[i] = a.array[i];
}
return *this;
}
bool Array::operator==(Array &a)
{
for(int i = 0; i < end - start; ++i)
{
if(array[i] != a.array[i])
return false;
}
return true;
}
bool Array::operator!=(Array &a){
return *this == a;
}
ostream &operator<<(ostream &out, Array &b)
{
for(int i = 0; i < b.end - b.start; ++i)
{
out << \"(\" << i + b.start << \")\" << b.array[i] << \" \";
}
return out;
}
Array &operator+(Array &a, Array&b)
{
Array arr(a.end - a.start);
for(int i = 0; i < a.end - a.start; ++i)
{
arr.array[i] = a.array[i] + b.array[i];
}
return arr;
}
Array &operator-(Array &a, Array&b)
{
Array arr(a.end - a.start);
for(int i = 0; i < a.end - a.start; ++i)
{
arr.array[i] = a.array[i] - b.array[i];
}
return arr;
}
Array &operator*(Array &a, Array&b)
{
Array arr(a.end - a.start);
for(int i = 0; i < a.end - a.start; ++i)
{
arr.array[i] = a.array[i] * b.array[i];
}
return arr;
}
Array &operator/(Array &a, Array&b)
{
Array arr(a.end - a.start);
for(int i = 0; i < a.end - a.start; ++i)
{
if (a.array[i]!=0)
arr.array[i] = b.array[i] / a.array[i];
}
return arr;
}
int main()
{
Array test(10);
Array Ary1(10,25);
Array Ary2(-5,10);
Array Ary3(15,30);
int i;
int j;
for (i = 0; i < 10; i++)
test[i] = i+1;
cout << \"Test array output\" << endl;
for (i = 0; i < 10; i++)
cout << test[i] << \" \";
cout << endl;
i = -5;
while (i < 10)
{
Ary2[i] = i*2;
i++;
}
cout << \"\ \";
cout << \"Ary2 array otuput\" << endl;
for (i = -5; i < 10; i++)
cout << Ary2[i] << \" \";
cout << endl;
i = 10; j = -5;
while ( i < 25 )
{ Ary1[ i ] = i*100;
Ary2[j] = j * 200;
i++; j++;
};
cout << \"Ary1 array output\" << endl;
cout << Ary1 << endl;
cout << endl;
cout << \"\ \";
cout << \"Ary2 array output\" << endl;
cout << Ary2 << endl;
cout << endl;
cout << \"\ \";
for (i=0;i<14;i++)
Ary3[i+15] = Ary1[i+10] + Ary2[i+-5];
cout << \"Ary3 array Addi.
programs on arrays.pdf
programs on arrays.pdfsowmya koneru The document provides solutions to various problems involving 1D arrays in C and Python. It includes programs to:
1. Reverse the elements of an array
2. Determine if an array contains all even, odd, or mixed elements
3. Count the number of even and odd elements in an array
4. Check if two arrays are equal
5. Find the sum of perfect square elements in an array
6. Find the minimum scalar product of two vectors
7. Find the smallest and largest elements in an array
8. Print all distinct elements in an array
9. Check if two arrays are disjoint
For each problem, it provides the algorithm, C and Python solutions, sample input/output,
Aaex2 group2
Aaex2 group2Shiang-Yun Yang This document contains solutions to 10 algorithm problems. It begins by providing efficient O(n) time algorithms to: 1) Remove digits from an integer to maximize its value. 2) Find a subsequence of integers that sums to a given value k. It then provides linear time algorithms to: 3) Find the largest square submatrix of 1s in a binary matrix. 4) Find a maximum independent set on trees. It also provides efficient algorithms to: 5) Find the maximum/minimum product substrings. 6) Find the maximum sum substring of length <=L. 7) Find a weight maximizing increasing value subsequence. Finally, it provides two algorithms to solve Problem 10154 on finding maximum weight within a strength limit.
#include iostream using namespace std; class Array { priva.pdf
#include iostream using namespace std; class Array { priva.pdfANSAPPARELS #include
using namespace std;
class Array
{
private:
int start;
int end;
int *array;
public:
Array(int n);
Array(int n, int m);
int &operator[](int index);
Array &operator=(Array a);
bool operator==(Array &a);
bool operator!=(Array &a);
friend ostream &operator<<(ostream &out, Array &a);
friend Array &operator+(Array &a, Array&b);
friend Array &operator-(Array &a, Array&b);
friend Array &operator*(Array &a, Array&b);
friend Array operator/(Array &a, Array&b);
};
Array::Array(int n)
{
start = 0;
end = n-1;
array = new int[n];
for (int i = 0; i < n; i++)
array[i] = i+1;
}
Array::Array(int n, int m)
{
start = n;
end = m-1;
array = new int[m-n];
for (int i = 0; i < m-n; i++)
array[i] = start + i;
}
int &Array::operator[](int index)
{
int element;
if (index >= start && index <= end)
{
element=array[index-start];
}
else
{
cout << \"Error: Index out of bounds.\" << endl;
element=-1;
}
int &p=element;
return p;
}
Array &Array::operator=(Array a)
{
start = a.start;
end = a.end;
for(int i = 0; i < end - start; ++i)
{
array[i] = a.array[i];
}
return *this;
}
bool Array::operator==(Array &a)
{
for(int i = 0; i < end - start; ++i)
{
if(array[i] != a.array[i])
return false;
}
return true;
}
bool Array::operator!=(Array &a){
return *this == a;
}
ostream &operator<<(ostream &out, Array &b)
{
for(int i = 0; i < b.end - b.start; ++i)
{
out << \"(\" << i + b.start << \")\" << b.array[i] << \" \";
}
return out;
}
Array& operator+(Array &a, Array&b)
{
Array arr(a.end - a.start);
for(int i = 0; i < a.end - a.start; ++i)
{
arr.array[i] = a.array[i] + b.array[i];
}
Array &p=arr;
return p;
}
Array &operator-(Array &a, Array&b)
{
Array arr(a.end - a.start);
for(int i = 0; i < a.end - a.start; ++i)
{
arr.array[i] = a.array[i] - b.array[i];
}
Array &p=arr;
return p;
}
Array &operator*(Array &a, Array&b)
{
Array arr(a.end - a.start);
for(int i = 0; i < a.end - a.start; ++i)
{
arr.array[i] = a.array[i] * b.array[i];
}
Array &p=arr;
return p;
}
Array operator/(Array &a, Array&b)
{
Array arr(a.end - a.start);
for(int i = 0; i < a.end - a.start; ++i)
{
arr.array[i] = b.array[i] / a.array[i];
}
Array &p=arr;
return arr;
}
int main()
{
Array test(10);
Array Ary1(10,25);
Array Ary2(-5,10);
Array Ary3(15,30);
int i;
int j;
for (i = 0; i < 10; i++)
test[i] = i+1;
cout << \"Test array output\" << endl;
for (i = 0; i < 10; i++)
cout << test[i] << \" \";
cout << endl;
i = -5;
while (i < 10)
{
Ary2[i] = i*2;
i++;
}
cout << \"\ \";
cout << \"Ary2 array otuput\" << endl;
for (i = -5; i < 10; i++)
cout << Ary2[i] << \" \";
cout << endl;
i = 10; j = -5;
while ( i < 25 )
{ Ary1[ i ] = i*100;
Ary2[j] = j * 200;
i++; j++;
};
cout << \"Ary1 array output\" << endl;
cout << Ary1 << endl;
cout << endl;
cout << \"\ \";
Ary3 = Ary1 + Ary2;
cout << \"Ary2 array Addition output\" << endl;
cout << Ary3 << endl;
cout << \"\ \";
Ary3 = Ary1 - Ary2;
cout << \"Ary3 array Subtraction output\" << endl;
cout << Ary3 << endl;
cout << \"\ \";
Ary3 = Ary1 * Ary2;
cout << \"Ary3 array Multiply output\" << endl.
Cse115 lecture08repetitionstructures part02
Cse115 lecture08repetitionstructures part02Md. Ashikur Rahman The document discusses repetition structures in C programming such as for loops, while loops, and nested loops. It provides examples of calculating a series sum using a for loop, checking if a number is prime using a for loop and selection statement inside the loop, and calculating an alternating series using a for loop. It also demonstrates the use of break and continue statements inside loops. Finally, it presents some homework problems involving loop structures.
I have written the code but cannot complete the assignment please help.pdf
I have written the code but cannot complete the assignment please help.pdfshreeaadithyaacellso I have written the code but cannot complete the assignment please help me to complete.
Please don't just copy other s answers as your own.
// Insertion sort
/*
#include <ctime>
#include <iostream>
using namespace std;
void insertionSort(int arr[], int n) {
int i, key, j;
for (i = 1; i < n; i++) {
key = arr[i];
j = i - 1;
// Move elements of arr[0..i-1], that are greater than key, to one position ahead of their current
position
while (j >= 0 && arr[j] > key) {
arr[j + 1] = arr[j];
j = j - 1;
}
arr[j + 1] = key;
}
}
int main() {
int n;
cout << "Enter the size of the array: ";
cin >> n;
int arr[n];
cout << "Enter the elements of the array: ";
for (int i = 0; i < n; i++) {
cin >> arr[i];
}
int num = sizeof(arr) / sizeof(arr[0]);
clock_t start, end;
double timetaken;
start = clock();
insertionSort(arr, num);
end = clock();
cout << "Sorted array: \n";
for (int i = 0; i < n; i++)
cout << arr[i] << " ";
cout << endl;
timetaken = ((double) (end - start)) / CLOCKS_PER_SEC;
cout << "Time taken : " << fixed << timetaken << "s" << endl;
return 0;
}
*/
// Shell Sort
/*
#include <ctime>
#include <iostream>
using namespace std;
int shellSort(int arr[], int n) {
for (int gap = n/2; gap > 0; gap /= 2) {
for (int i = gap; i < n; i += 1) {
int temp = arr[i];
int j;
for (j = i; j >= gap && arr[j - gap] > temp; j -= gap)
arr[j] = arr[j - gap];
arr[j] = temp;
}
}
return 0;
}
void printArray(int arr[], int n) {
for (int i=0; i<n; i++)
cout << arr[i] << " ";
}
int main() {
int n;
cout << "Enter the size of the array: ";
cin >> n;
int arr[n];
cout << "Enter the elements of the array: ";
for (int i = 0; i < n; i++) {
cin >> arr[i];
}
int num = sizeof(arr) / sizeof(arr[0]);
clock_t start, end;
double timetaken;
start = clock();
shellSort(arr, num);
end = clock();
cout << "\nArray after sorting: \n";
printArray(arr, n);
cout << endl;
timetaken = (double)(end - start) / CLOCKS_PER_SEC;
cout << "Time taken : " << fixed << timetaken << "s" << endl;
return 0;
}
*/
// MergeSort
/*
#include <ctime>
#include <iostream>
using namespace std;
void merge(int arr[], int l, int m, int r) {
int i, j, k;
int n1 = m - l + 1;
int n2 = r - m;
int L[n1], R[n2];
for (i = 0; i < n1; i++)
L[i] = arr[l + i];
for (j = 0; j < n2; j++)
R[j] = arr[m + 1 + j];
i = 0;
j = 0;
k = l;
while (i < n1 && j < n2) {
if (L[i] <= R[j]) {
arr[k] = L[i];
i++;
}
else {
arr[k] = R[j];
j++;
}
k++;
}
while (i < n1) {
arr[k] = L[i];
i++;
k++;
}
while (j < n2) {
arr[k] = R[j];
j++;
k++;
}
}
void mergeSort(int arr[], int l, int r) {
if (l < r) {
int m = l + (r - l) / 2;
mergeSort(arr, l, m);
mergeSort(arr, m + 1, r);
merge(arr, l, m, r);
}
}
int main() {
int n;
cout << "Enter the size of the array: ";
cin >> n;
int arr[n];
cout << "Enter the elements of the array: ";
for (int i = 0; i < n; i++) {
cin >> arr[i];
}
int arr_size = sizeof(arr) / sizeof(arr[0]);
clock_t start;
clock_t end;
double timetaken;
start = clock();
mergeSort(arr, 0, arr_size - 1);
end = clock();
timetaken = (double)(end - start) / CLOCKS_PER_SEC;
.
2Bytesprog2 course_2014_c1_sets
2Bytesprog2 course_2014_c1_setskinan keshkeh This document contains program code and notes about programming concepts like procedures, functions, variables, sets, and arrays. It discusses different types of variables, set operations, reading and printing sets, and provides examples of code for procedures to input and output sets. It also provides exercises asking the reader to write a program to manage student enrollment in math and English classes using sets and arrays.
2Bytesprog2 course_2014_c1_sets
2Bytesprog2 course_2014_c1_setskinan keshkeh This document contains program code and notes about programming concepts like procedures, functions, variables, sets, and arrays. It discusses different types of variables, set operations, reading and printing sets, and provides examples of code for inputting and outputting sets. It also provides exercises for students to practice creating programs that work with student data stored in sets and arrays.
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Chap06algMunkhchimeg The document describes several sorting and selection algorithms, including insertion sort, partition, quicksort, random quicksort, counting sort, radix sort, and random select. Insertion sort works by inserting each element into the sorted portion of the array, partition divides the array around a pivot element, and quicksort uses partition to recursively sort subarrays. Counting sort counts occurrences of each value instead of comparing elements, and radix sort extends counting sort to multiple digits. Random select finds the kth smallest element by randomly partitioning the array.
Chap06alg
Chap06algMunhchimeg The document describes several sorting and selection algorithms, including insertion sort, partition, quicksort, random quicksort, counting sort, radix sort, and random select. Insertion sort works by inserting each element into the sorted portion of the array, partition divides the array around a pivot element, and quicksort uses partition to recursively sort subarrays.
DAA Lab File C Programs
DAA Lab File C ProgramsKandarp Tiwari The document contains 10 programs related to sorting and graph algorithms. Program 1-7 implement different sorting algorithms - insertion sort, selection sort, heap sort, quick sort, counting sort, merge sort and radix sort. Program 8 implements the greedy knapsack problem. Program 9 implements the travelling salesman problem. Program 10 implements Kruskal's algorithm to find the minimum spanning tree of a graph.
insertion sort.pptx
insertion sort.pptxTejaswiniMohalkar Insertion sort is a simple sorting algorithm that works by iteratively inserting elements into a sorted subset of the array. It has a worst case time complexity of O(n^2) but performs well on small or partially sorted data. The algorithm splits the array into a sorted and unsorted part, taking elements from the unsorted part and inserting them into the correct position in the sorted part until the entire array is sorted.
Advanced Datastructures and algorithms CP4151unit1b.pdf
Advanced Datastructures and algorithms CP4151unit1b.pdfSheba41 Insertion sort has a running time of O(n^2) in the worst case. It works by iterating through the array (n times) and inserting each element into its sorted position (taking up to n steps). This results in a total worst case time of n(n) = O(n^2) operations.
Please help with this JAVA Assignment and show output if you can ple.pdf
Please help with this JAVA Assignment and show output if you can ple.pdfaroramobiles1 Please help with this JAVA Assignment and show output if you can please
Complete required scripts based on eclipse and troubleshoot the scripts until the tasks are done.
1. Implement linear-sort, merge-sort and quick-sort (write the code for them).
Solution
Linear or Insertion Sort
import java.util.*;
import java.lang.*;
import java.io.*;
import java.util.Scanner;
class LinearSort
{
public static void sort( int values[] )
{
int N = values.length;
int i, j, temp;
for (i = 1; i< N; i++)
{
j = i;
temp = values[i];
while (j > 0 && temp < values[j-1])
{
values[j] = values[j-1];
j = j-1;
}
values[j] = temp;
}
}
public static void main(String[] args)
{
Scanner scan = new Scanner( System.in );
int n, i;
System.out.println(\"Enter number of elements\");
n = scan.nextInt();
int values[] = new int[n];
System.out.println(\"\ Enter elements\");
for (i = 0; i < n; i++)
values[i] = scan.nextInt();
sort(values);
System.out.println(\"\ Sorted Elements\");
for (i = 0; i < n; i++)
System.out.print(values[i]+\" \");
System.out.println();
}
}
Output:
Enter number of elements
6
Enter elements
34 56 12 8 9 23
Sorted Elements
8 9 12 23 34 56
Merge Sort
import java.util.Scanner;
public class Mergesort
{
public static void mergesort(int[] a, int low, int high)
{
int N = high - low;
if (N <= 1)
return;
int mid = low + N/2;
mergesort(a, low, mid);
mergesort(a, mid, high);
int[] temp = new int[N];
int i = low, j = mid;
for (int k = 0; k < N; k++)
{
if (i == mid)
temp[k] = a[j++];
else if (j == high)
temp[k] = a[i++];
else if (a[j] pivot)
j--;
if (i <= j)
{
temp = values[i];
values[i] = values[j];
values[j] = temp;
i++;
j--;
}
}
if (low < j)
quickquicksort(values, low, j);
if (i < high)
quickquicksort(values, i, high);
}
public static void main(String[] args)
{
Scanner scan = new Scanner( System.in );
int n, i;
System.out.println(\"Enter number of elements\");
n = scan.nextInt();
int values[] = new int[ n ];
System.out.println(\"\ Enter elements\");
for (i = 0; i < n; i++)
values[i] = scan.nextInt();
quicksort(values);
System.out.println(\"\ qSorted Elements \");
for (i = 0; i < n; i++)
System.out.print(values[i]+\" \");
System.out.println();
}
}
Output:
Enter number of elements
8
Enter elements
89 23 90 56 13 71 46 13
Sorted Elements
13 13 23 46 56 71 89 90.
2DArrays.ppt
2DArrays.pptNooryaseen9 computer dataA computer is a machine that can be programmed to carry out sequences of arithmetic or logical operations (computation) automatically. Modern digital electronic computers can perform generic sets of operations known as programs. These programs enable computers to perform a wide range of tasks. A computer system is a nominally complete computer that includes the hardware, operating system (main software), and peripheral equipment needed and used for full operation. This term may also refer to a group of computers that are linked and function together, such as a computer network or computer cluster.
A broad range of industrial and consumer products use computers as control systems. Simple special-purpose devices like microwave ovens and remote controls are included, as are factory devices like industrial robots and computer-aided design, as well as general-purpose devices like personal computers and mobile devices like smartphones. Computers power the Internet, which links billions of other computers and users.
Early computers were meant to be used only for calculations. Simple manual instruments like the abacus have aided people in doing calculations since ancient times. Early in the Industrial Revolution, some mechanical devices were built to automate long, tedious tasks, such as guiding patterns for looms. More sophisticated electrical machines did specialized analog calculations in the early 20th century. The first digital electronic calculating machines were developed during World War II. The first semiconductor transistors in the late 1940s were followed by the silicon-based MOSFET (MOS transistor) and monolithic integrated circuit chip technologies in the late 1950s, leading to the microprocessor and the microcomputer revolution in the 1970s. The speed, power and versatility of computers have been increasing dramatically ever since then, with transistor counts increasing at a rapid pace (as predicted by Moore's law), leading to the Digital Revolution during the late 20th to early 21st centuries.
sorting1.pptx
sorting1.pptxAJAYVISHALRP This document discusses different sorting algorithms including insertion sort, selection sort, and shell sort. It provides examples of how each algorithm works and pseudocode for implementation. Insertion sort iterates through an array and inserts each element into its sorted position. Selection sort finds the minimum element in each pass and swaps it into the front. Shell sort improves on insertion sort by comparing elements separated by gaps to sort sublists and gradually reduce the gaps.
Daapracticals 111105084852-phpapp02
Daapracticals 111105084852-phpapp02Er Ritu Aggarwal 1. The document provides code snippets for implementing various sorting algorithms including heap sort, quicksort, merge sort, radix sort, bucket sort, and insertion sort. It also includes code for graph algorithms like Dijkstra's algorithm, Warshall's algorithm, and the knapsack problem using dynamic programming.
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Interactive odoo dashboards for sales, CRM , Inventory, Invoice, Purchase, Pr...
Interactive odoo dashboards for sales, CRM , Inventory, Invoice, Purchase, Pr...AxisTechnolabs Interactive Odoo Dashboard for various business needs can provide users with dynamic, visually appealing dashboards tailored to their specific requirements. such a module that could support multiple dashboards for different aspects of a business
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In 2025, the pressure on accounting firms is higher than ever. Clients expect fast, clear communication. Teams are often working remotely or in hybrid setups. Deadlines are tight, and regulations are constantly changing. Choosing the right practice management software can make all the difference — helping firms stay organized, automate repetitive work, collaborate smoothly, and ultimately deliver better service to clients.
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✅ How pricing models compare across popular providers
✅ Where each software excels — and where it might fall short
The final slides offer guidance on how to choose the right software for your unique needs, with a checklist covering firm size, required features, ease of use, integrations, and budget considerations.
Whether you’re looking for an affordable, scalable option like Tidyflow or a powerful enterprise-level solution like Karbon, this guide will help you make a more informed, confident decision for 2025 and beyond.
For more details, visit tidyflow.com — a modern practice management platform designed specifically for small and growing accounting firms that want a simple, affordable solution without enterprise-level complexity.
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Sorting Technique
- 1. SORTING ALGORITHMS Engr. Shaheer Ahmed
- 2. ALGO - INSERTION SORT (N, A) A : Array N : Length of Array A[] Start Algo For i:=1 to N-1 do value := A[i] j := i-1 while j >= 0 and A[j] > value do A[j+1] := A[j] j := j-1 endwhile A[j+1] = value Endfor End Algo
- 3. Program – Insertion Sort #include<iostream> using namespace std; main() { int A[6] = {6,5,4,3,2,1}; int N=6; int i,j,val; for(i=1;i<N;i++) { val=A[i]; j=i-1; while(j>=0 && A[j]>val) { A[j+1]=A[j]; j=j-1; } A[j+1]=val; } cout<<endl; for(int i = 0 ; i<N ; i++) cout<<A[i]<<" "; system("pause"); }
- 5. Worst case analysis of Insertion Sort Apply Insertion Sort on the following Data: 7,6,5,4,3,2,1
- 7. Program – Selection Sort #include<iostream> using namespace std; main() { int A[6] = {5,2,6,4,3,1}; int N=6; int i,sel=0,min,index,swap=0, temp; //Find smallest number and swap with selected index with each iteration of outer loop while(sel<N) { min = A[sel]; for(i = sel; i< N; i++) { if(A[i]<min) //if smaller number is found { min=A[i]; index=i; // save index of smaller number swap=1; // swapping required.. } } //swapping if(swap==1) { A[sel] = A[sel] + A[index]; // a = a+b A[index] = A[sel] - A[index]; // b = a - b A[sel] = A[sel] - A[index]; // a = a-b } sel++; swap=0; } for(int i = 0 ; i<N ; i++) cout<<A[i]<<" "; system("pause"); }
- 8. Apply Selection Sort on the following Data: 7,6,5,4,3,2,1 Worst case analysis of Selection Sort
- 9. Quick Sort 15 20 35 10 25 55 50 45 40 30 3015 20 10 25 35 55 50 45 40 3015 20 2510 4535 40 50 55 15 2010 25 35 4540 50 55 10 15 20 25 30 35 40 45 50 55 30
- 10. MERGE SORT 15 , 20 , 35 , 10 , 25 , 55 , 50 , 45 15 20 10 35 25 55 45 50 10 15 20 35 25 45 50 55 10 15 20 25 35 45 50 55 GIVEN DATA