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  • ShellSort Algorithm Assignment Help

ShellSort Algorithm Assignment Help


An algorithm is a set of mathematical sequence that can be defined by a set of programming languages that is utilizes certain logic commands that are needed by a computer to complete a defined task. Algorithms can be found just about anywhere, embedded within, any and every computer program or software that one has ever used. It can also be found while conducting a run on the internet search engine and for controlling machinery. 


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What is Shell Sort Algorithm ?


1) Not stable

2) O(1) extra space

3) O(n3/2) time, depend on sequence s

4) Adaptive: O(n.lg(n)) time when nearly sorted


1: s <-- 1 
2: while s <= n {
3: s <-- (3s +1)} 
4: repeat
5: s <-- ( s/3 )
6: for k = s to 'n' do {
7: key <-- A[ k ]
8: l <-- k
9: while key < A[l - s] {
10: A[ l ] <-- A[l - h]
11: l <-- [l - h]
12: if l < h , break } // statement is break, when j is greater than h
13: a[ j ] <-- key
14: }
17: until h <=1


Properties of an algorithms:

  1. Specified Input

  2. Specified Output
  3. Scope defination
  4. Definiteness
  5. Execution
  6. Effectiveness
  7. Finiteness


There are various ways to classify algorithms. Some of the popular methodologies are:


  1. Logical
  2. Serial, parallel or distributed
  3. Deterministic or non-deterministic
  4. Exact or approximate
  5. Divide and conquer
  6. Search and enumeration
  7. Randomized algorithm
  8. Reduction of complexity
  9. Linear programming
  10. Dynamic programming
  11. The greedy method


Example1:


Let’s sort the data set below using a Shell Sort:

8
6
0
3
2
7
5
1
9
4


After a gap = 5 :

7
5
0
3
2
8
6
1
9
4


After a gap = 2 :

0
1
2
3
6
4
7
5
9
8


After a gap = 1 :

0
1
2
3
4
5
6
7
8
9



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