An insertion sort is that which sort a record of data by inserting records into an existing sorted file. The list is divided into two parts: sorted and unsorted. In each pass, the first element of the unsorted sub-list is inserted into the sorted sub-list in proper position.
In this algorithm, we take x[0] as sorted file initially
Efficiency of Straight Insertion sort
Algorithm
1. Declare and initialize necessary variable such as array[], n, i, j etc 2. Insert each x[k] into sorted file i.e. for k = 1 to k < n, repeat temp = x[k] 2.1 Move down one position all elements greater than temp i.e. for ( i = k-1; i >= i && temp < x[i]; i--) x[i+1]=x[i] 2.2 x[i+1] = temp 3. Display the sorted array.
In this algorithm, we take x[0] as sorted file initially
Source Code:
#include<iostream> using namespace std; class InsertionSort { private: int no_of_elements; int elements[10]; public: void getarray(); void sortit(); void display(); }; void InsertionSort::getarray() { cout<<"How many elements? "; cin>>no_of_elements; cout<<"Insert array of element to sort: "; for(int i = 0; i < no_of_elements; i++) { cin>>elements[i]; } } void InsertionSort::sortit(){ int temp, i , j; for(i = 0; i < no_of_elements; i++) { temp = elements[i]; for(j = i-1; j >= 0 && temp < elements[j]; j--) { elements[j+1] = elements[j]; } elements[j+1] = temp; cout<<"Iteration "<<i+1<<" : "; display(); } } void InsertionSort::display() { for(int i = 0 ; i < no_of_elements; i++) { cout<<elements[i]<<" "; } cout<<endl; } int main() { InsertionSort IS; IS.getarray(); IS.sortit(); return 0; }
Output
How many elements? 6 Insert array of element to sort: 52 36 96 12 58 3 Iteration 1 : 52 36 96 12 58 3 Iteration 2 : 36 52 96 12 58 3 Iteration 3 : 36 52 96 12 58 3 Iteration 4 : 12 36 52 96 58 3 Iteration 5 : 12 36 52 58 96 3 Iteration 6 : 3 12 36 52 58 96
Efficiency of Straight Insertion sort
Efficiency of Straight Insertion sort is O(n^2)
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