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What is the worst-case and average-case time complexity of the Binary search?
- a)O(n2)
- b)O(1)
- c)O(n log n)
- d)O(log n)
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
What is the worst-case and average-case time complexity of the Binary ...
Binary search algorithm:
Binary search algorithm is used to find an element in an already sorted array.
STEPS 1:
It finds the middle element of the array and compare the element with the element to be searched, if it matches then return true.
It finds the middle element of the array and compare the element with the element to be searched, if it matches then return true.
STEPS 2:
If not, then divide the array into two halves in which if element to be search is less than middle element then search takes place in left part otherwise search in right half.
If not, then divide the array into two halves in which if element to be search is less than middle element then search takes place in left part otherwise search in right half.
STEP 3:
Repeat this process, until you get the element.
Repeat this process, until you get the element.
Explanation:
For worst case 52
Worst Case: Search 50 in below give array
50 > 32
50 < 63
matched
T(n) = O(log n)
Also, for average case:
T(n) = O(log n)
For worst case 52
Worst Case: Search 50 in below give array
50 > 32
50 < 63
matched
T(n) = O(log n)
Also, for average case:
T(n) = O(log n)
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Community Answer
What is the worst-case and average-case time complexity of the Binary ...
Binary search algorithm:
Binary search algorithm is used to find an element in an already sorted array.
STEPS 1:
It finds the middle element of the array and compare the element with the element to be searched, if it matches then return true.
It finds the middle element of the array and compare the element with the element to be searched, if it matches then return true.
STEPS 2:
If not, then divide the array into two halves in which if element to be search is less than middle element then search takes place in left part otherwise search in right half.
If not, then divide the array into two halves in which if element to be search is less than middle element then search takes place in left part otherwise search in right half.
STEP 3:
Repeat this process, until you get the element.
Repeat this process, until you get the element.
Explanation:
For worst case 52
Worst Case: Search 50 in below give array
50 > 32
50 < 63
matched
T(n) = O(log n)
Also, for average case:
T(n) = O(log n)
For worst case 52
Worst Case: Search 50 in below give array
50 > 32
50 < 63
matched
T(n) = O(log n)
Also, for average case:
T(n) = O(log n)
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