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Selection Sort Algorithm Assignment Help


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


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


What is selection sort algorithm?


The concept of the selection sort is actually which for every slot, obtain the element that will connected generally there.


for I = 0 to (n - 2)
temp = a[ i ]
loc = i;
for j = (i + 1)to (n - 1)
if a[ j ] < a[ loc ]
loc = j
a[ i ] = a[ loc ]
a[ loc ] = temp


1) The above algorithm describes the inner and outer loop of the sequence, i.e. the smallest and the sorted element of the array
2)The ‘inner loop’:  find the next smallest element in an array.
3) The outer loop: moves along the array as the elements are sorted.



Pseudocode:


selection-sort 
Input: the elements of an array S[ 1...m ] of orderable elements.
Output: the elements of an array S[ 1...m ] ; sorted in descending order

1: for x <-- 1 to (m - 1)
2: min <-- x  // minimum value of  the element
3: for y <-- x+1 to m //find the ith smallest element.
4: if S[ y ] < S[ min ] then
5: min <-- y  // minimum value of  the element
6: end for
7: if min =! (not equal to) x then interchange S[ x ] and S[ min ]
8: end for


Example: Find  Selection Sort Algorithm of the sequence, 70, 30, 20, 50, 60, 10, 40

Solution:

70
30
20
50
60
10
40


1st element of the array (i.e, given array show the first element is 70), comparing the smallest element of the given array (i.e smallest element of the given array is 30) and swaps it with the first element.
Here the element of the 1st array is 70, now it compare to the other element which is smallest, now here the smallest element is 10. So swap 10 with first element i.e 70.


10
30
20
50
60
70
40


Similarly, compare second element to the smallest element.  Second element is 30, compare smallest element i.e 20, swap it.


10
20
30
50
60
70
40


Here third element is 30, so there is no smallest element as compare to third element. So there is no changes in this field.


10
20
30
50
60
70
40


Similarly, apply same method, so swap element with 50 to 40.


10
20
30
40
60
70
50


Swap with element 60 to 50.


10
20
30
40
50
70
60


Swap with element 70 to 60.


10
20
30
40
50
60
70


Sequence is sorted.




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