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| Given: the list of the element is m, and the target value 1: index <-- 0 2: Repeating the 3rd step to 5th step 3: Comparing the list of target [ index ] 4: if 'target' = list[ index ] then return 'index' // success(got the value of index) else if index >= (m - 1) return -1 // not found the value of index 5: index <-- (index + 1) |
1) From the ‘worst case’ --> n
2) From the ‘best case’ --> 1
3) From the ‘average case’:
4) In cases like this, the complexity of search was in this obtain connected with ‘n’, denoted since O( n ).
| Sequential search Best_case | Sequential search Worst_Case | Sequential search Average_Case |
| Beast case is when the element being searched is the first element | Worst case is when the element being searched NOT in the list or it is the last element. | The number of comparisons done is about (n + 1) / 2 in average case. |
Example: 5, 4, 7, 3, 9, 1 search element: 5 | Example 5, 4, 7, 3, 9, 1 search element: 1 or 6 | |
| Time complexity of sequential search is O( 1 ) | Time complexity of sequential search is O( n ) |
Example1: Find sequential search. Target value is 30. Sequence is 50, 20, 70, 30, 80.
Solution:
| Index | 0 | 1 | 2 | 3 | 4 |
| value | 50 | 20 | 70 | 30 | 80 |
Step1: comparing the element of the value is 30 with index at index[ 0 ]
Step2: comparing the element of the value is 30 with index at index[ 1 ]
Step3: comparing the element of the value is 30 with index at index[ 2 ]
Step4: comparing the element of the value is 30 with index at index[ 3 ] … success (got the value of index)
Example2: Find sequential search. Target value is 55. Sequence is 50, 20, 70, 30, 80.
Solution:
| Index | 0 | 1 | 2 | 3 | 4 |
| value | 50 | 20 | 70 | 30 | 80 |
Step1: comparing the element of the value is 55 with index at index[ 0 ]
Step2: comparing the element of the value is 55 with index at index[ 1 ]
Step3: comparing the element of the value is 55 with index at index[ 2 ]
Step4: comparing the element of the value is 55 with index at index[ 3 ]
Step5: comparing the element of the value is 55 with index at index[ 4 ]… not found the value of index
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