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Sorting techniques
INSERTION SORT
By
Samrudhi Shinde
Tejaswini Mohalkar
5 2 4 6 1 3
sorted unsorted
Insertion Sort Example
THEORY
Insertion sort is a simple sorting algorithm that works similar to the way you sort playing cards in
your hands. The array is virtually split into a sorted and an unsorted part. Values from the unsorted
part are picked and placed at the correct position in the sorted part.
 This algorithm is one of the simplest algorithm with simple implementation.
 Basically, Insertion sort is efficient for small data values.
 Insertion sort is adaptive in nature, i.e. it is appropriate for data sets which are already partially
sorted.
 It requires (n-1)passes.
Insertion Sort Applications
The insertion sort is used when:
• the array is has a small number of elements
• there are only a few elements left to be sorted
insertion sort.pptx
#include<stdio.h>
int main()
{
int i, j, count, temp, number[25];
printf("How many numbers u are going to enter?: ");
scanf("%d",&count);
printf("Enter %d elements: ", count);
for(i=0;i<count;i++) // This loop would store the input numbers in array
scanf("%d",&number[i]);
for(i=1;i<count;i++) // Implementation of insertion sort logic
{
temp=number[i];
j=i-1;
while((temp<number[j])&&(j>=0))
{
number[j+1]=number[j];
j=j-1;
}
number[j+1]=temp;
}
C Program
printf("Order of Sorted elements: ");
for(i=0;i<count;i++)
printf(" %d",number[i]);
return 0;
}
Algorithm
Step 1: Start
Step 2: Set temp=0,i=1,j=0
Step 3: Repeat step 4 to 12 while (i<size)
Step 4: set temp=a[i]
Step 5: set j=i-1
Step 6: Repeat step 7 to 10 while (i>=0)
Step 7: if (a[j]>temp) goto step 8 else goto step 9
Step 8: Set a[j+1]= a[j]
Step 9: branch out and goto step 11
Step 10: set j=j-1
Step 11:Set a[j+1]= temp
Step 12: i=i+1
Step 13:stop
PSEUDOCODE
procedure insertionSort( A : array of items )
int holePosition
int valueToInsert
for i = 1 to length(A) inclusive do:
/* select value to be inserted */
valueToInsert = A[i]
holePosition = i
/*locate hole position for the element to be inserted */
while holePosition > 0 and A[holePosition-1] > valueToInsert do:
A[holePosition] = A[holePosition-1]
holePosition = holePosition -1
end while
/* insert the number at hole position */
A[holePosition] = valueToInsert
end for
end procedure
TIME COMPLEXITY
Best case
Worst case
Average case
First for loop Second for loop
O(n) O(1)
Total
O(n)
O(n)
O(n)
O(n)
O(n) O(n)2
O(n)2

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insertion sort.pptx

  • 1. Sorting techniques INSERTION SORT By Samrudhi Shinde Tejaswini Mohalkar 5 2 4 6 1 3 sorted unsorted
  • 3. THEORY Insertion sort is a simple sorting algorithm that works similar to the way you sort playing cards in your hands. The array is virtually split into a sorted and an unsorted part. Values from the unsorted part are picked and placed at the correct position in the sorted part.  This algorithm is one of the simplest algorithm with simple implementation.  Basically, Insertion sort is efficient for small data values.  Insertion sort is adaptive in nature, i.e. it is appropriate for data sets which are already partially sorted.  It requires (n-1)passes. Insertion Sort Applications The insertion sort is used when: • the array is has a small number of elements • there are only a few elements left to be sorted
  • 5. #include<stdio.h> int main() { int i, j, count, temp, number[25]; printf("How many numbers u are going to enter?: "); scanf("%d",&count); printf("Enter %d elements: ", count); for(i=0;i<count;i++) // This loop would store the input numbers in array scanf("%d",&number[i]); for(i=1;i<count;i++) // Implementation of insertion sort logic { temp=number[i]; j=i-1; while((temp<number[j])&&(j>=0)) { number[j+1]=number[j]; j=j-1; } number[j+1]=temp; } C Program
  • 6. printf("Order of Sorted elements: "); for(i=0;i<count;i++) printf(" %d",number[i]); return 0; }
  • 7. Algorithm Step 1: Start Step 2: Set temp=0,i=1,j=0 Step 3: Repeat step 4 to 12 while (i<size) Step 4: set temp=a[i] Step 5: set j=i-1 Step 6: Repeat step 7 to 10 while (i>=0) Step 7: if (a[j]>temp) goto step 8 else goto step 9 Step 8: Set a[j+1]= a[j] Step 9: branch out and goto step 11 Step 10: set j=j-1 Step 11:Set a[j+1]= temp Step 12: i=i+1 Step 13:stop
  • 8. PSEUDOCODE procedure insertionSort( A : array of items ) int holePosition int valueToInsert for i = 1 to length(A) inclusive do: /* select value to be inserted */ valueToInsert = A[i] holePosition = i /*locate hole position for the element to be inserted */ while holePosition > 0 and A[holePosition-1] > valueToInsert do: A[holePosition] = A[holePosition-1] holePosition = holePosition -1 end while /* insert the number at hole position */ A[holePosition] = valueToInsert end for end procedure
  • 9. TIME COMPLEXITY Best case Worst case Average case First for loop Second for loop O(n) O(1) Total O(n) O(n) O(n) O(n) O(n) O(n)2 O(n)2