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Insertion-Sort
INTRODUCTION
The idea of insertion sort is similar to the idea of sorting playing cards
INSERTION-SORT
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
INSERTION-SORT CONT........
5 1 6 3 4 3
Lets take this Array.
As we can see here, in insertion sort, we pick up a key, and
compares it with elemnts ahead of it, and puts the key in the
right place
5 has nothing before it.
1 is compared to 5 and is inserted before 5.
6 is greater than 5 and 1.
2 is smaller than 6 and 5, but greater than 1, so its is inserted
after 1.
And this goes on...
ALGORITHM
• INSERTION-SORT (A)
• 1. for j=2 to A.length
• 2. key= A[j]
• 3. // Insert A [j] into the sorted sequence A[i.. j - 1 ]
• 4. i = j - 1
• 5. while i > 0 and A[i] > ky
• 6. A[i + 1] = A[i]
• 7. i = i - 1
• 8. A[i + 1] = key
CODE
CODE OUTPUT
ADVANTAGES
• Simple
• Efficient for small data sets
• One of the faster O(n^2) performance algorithms
• Does not require extra memory
• Low overhead
• Best case is O(n)
• Nearly sorted input
DISADVANTAGES
• Poor performance with large lists
• Expensive with many elements
• Not as quick as merge sort or quicksort
• Worst case is O(n^2) - Input Array/List in reverse order
TIME COMPLEXITY
• Best case: O(n)
• Average case: O(n^2)
• Worst case: O(n^2)
Thanks

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What is Insertion Sort. Its basic information

  • 2. INTRODUCTION The idea of insertion sort is similar to the idea of sorting playing cards
  • 3. INSERTION-SORT 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
  • 4. INSERTION-SORT CONT........ 5 1 6 3 4 3 Lets take this Array. As we can see here, in insertion sort, we pick up a key, and compares it with elemnts ahead of it, and puts the key in the right place 5 has nothing before it. 1 is compared to 5 and is inserted before 5. 6 is greater than 5 and 1. 2 is smaller than 6 and 5, but greater than 1, so its is inserted after 1. And this goes on...
  • 5. ALGORITHM • INSERTION-SORT (A) • 1. for j=2 to A.length • 2. key= A[j] • 3. // Insert A [j] into the sorted sequence A[i.. j - 1 ] • 4. i = j - 1 • 5. while i > 0 and A[i] > ky • 6. A[i + 1] = A[i] • 7. i = i - 1 • 8. A[i + 1] = key
  • 8. ADVANTAGES • Simple • Efficient for small data sets • One of the faster O(n^2) performance algorithms • Does not require extra memory • Low overhead • Best case is O(n) • Nearly sorted input
  • 9. DISADVANTAGES • Poor performance with large lists • Expensive with many elements • Not as quick as merge sort or quicksort • Worst case is O(n^2) - Input Array/List in reverse order
  • 10. TIME COMPLEXITY • Best case: O(n) • Average case: O(n^2) • Worst case: O(n^2)