0
If the array is unsorted then there is no algorithm that can be applied other than a sequential traversal from one end of the array to the other until the number is found or the end of the array is reached. This is an extremely poor algorithm as the worst case would be O(n) for n elements. While this may be fine for small arrays, it is highly inefficient for larger arrays.
To apply a more efficient algorithm with a worst case of O(log n), you must sort the array. You can then use a binary search algorithm by starting at the middle element. If that's your value, you're done. If not and the value you seek is less than this value, then you can eliminate all the elements in the upper half of the array, otherwise you can eliminate all the elements in the lower half of the array. Repeat the process with the remaining subarray, reducing the number of remaining elements by half each time. If you end up with a subarray with no elements then the value does not exist.
Sorted arrays that are perfectly balanced offer the best performance. For instance, an array with 63 elements is perfectly balanced because after the first iteration you are left with another perfectly balanced array of 31 elements (because you eliminated 31 elements plus the middle element). After the next iteration you will be left with 15 elements, then 7, 3, 1 and finally 0. Thus a 63-element array takes no more than 6 iterations to determine that a value does not exist, compared to 63 iterations with a sequential traversal search upon an unsorted array. 6 iterations is also the average because the 6th iteration can locate any one of 32 values, which is more than half the values.
What else can I help you with?
What are steps of algorithm?
the number of steps of an algorithm will be countable and finite.
Algorithm to convert a number representing radix r1 to r2?
algorithm to convert a number representing radix r1 to radix r2
Where do you run an algorithm?
By preparing test cases we can test an algorithm. The algorithm is tested with each test case.
What is algorithm in basic computer science?
An algorithm is a set of instructions that a computer follows, generally to accomplish one specific task. These tasks can range from sorting a set of numbers to finding the greatest common denominator of two numbers.
What is the time complexity of Dijkstra's algorithm?
Dijkstra's original algorithm (published in 1959) has a time-complexity of O(N*N), where N is the number of nodes.
What is the best search algorithm to use for an unsorted array?
The best search algorithm to use for an unsorted array is linear search. It involves checking each element in the array one by one until the desired element is found. This algorithm has a time complexity of O(n), where n is the number of elements in the array.
What is the process for finding the kth smallest number in an unsorted array?
To find the kth smallest number in an unsorted array, you can use a sorting algorithm like quicksort or heapsort to arrange the array in ascending order. Then, you can simply access the kth element in the sorted array to find the kth smallest number. This process ensures that the kth smallest number is easily identified and retrieved from the array.
What is the maximum number of comparisons required in a binary search algorithm to find a specific element in a sorted array?
The maximum number of comparisons required in a binary search algorithm to find a specific element in a sorted array is log(n), where n is the number of elements in the array.
What is the example of finiteness in algorithm?
I've never heard the term "finiteness" applied to an algorithm, but I think that's because the definition of an algorithm includes that it must be finite. So think of any algorithm and there is your example of finiteness.
How many comparisons are typically made in a binary search algorithm when searching for a specific element in a sorted array?
In a binary search algorithm, typically log(n) comparisons are made when searching for a specific element in a sorted array, where n is the number of elements in the array.
How many comparisons are typically required in a binary search algorithm to find a specific element in a sorted array?
In a binary search algorithm, typically log(n) comparisons are required to find a specific element in a sorted array, where n is the number of elements in the array.
What are steps of algorithm?
the number of steps of an algorithm will be countable and finite.
Algorithm to convert a number representing radix r1 to r2?
algorithm to convert a number representing radix r1 to radix r2
Design an algorithm to find a reverse of number?
An example of an algorithm that will reverse a number is written as such, digit reverse(num), while (num>0) then, digit =num%10. This particular algorithm divides a number by 10 until the original number from the LSD is found.
Where do you run an algorithm?
By preparing test cases we can test an algorithm. The algorithm is tested with each test case.
What is an algorithm to calculate the sum of the digits of a three digit number?
algorithm is a way to solve your problem
What is an algorithm in computer science and can you provide an example to illustrate its function?
An algorithm in computer science is a step-by-step procedure or set of rules used to solve a problem or perform a task. It is a sequence of instructions that can be executed by a computer to achieve a specific goal. For example, a simple algorithm for finding the largest number in a list of numbers would involve comparing each number in the list to the current largest number found so far. The algorithm would update the current largest number if a larger number is found, and continue this process until all numbers in the list have been checked.
