Answer the following questions in terms of the list:...

Answer the following questions in terms of the list: 19,37,53,71,96,137,289,374,559 797,979. a. Which search algorithm (sequential or binary) will find the number 137 more quickly? b. Which search algorithm (sequential or binary) will find the number 19 more quickly? c. Which search algorithm (sequential or binary) will detect the absence of the number 99 more quickly? d. Which search algorithm (sequential or binary) will detect the absence of the number 111 more quickly? e. How many numbers will be interrogated when searching for the number 96 when using the sequential search? How many will be interrogated when using the binary search?

Answer the following questions in terms of the list: 19,37,53,71,96,137,289,374,559
797,979.
a. Which search algorithm (sequential or binary) will find the number 137 more quickly?
b. Which search algorithm (sequential or binary) will find the number 19 more quickly?
c. Which search algorithm (sequential or binary) will detect the absence of the number 99 more quickly?
d. Which search algorithm (sequential or binary) will detect the absence of the number 111 more quickly?
e. How many numbers will be interrogated when searching for the number 96 when using the sequential search? How many will be interrogated when using the binary search?

Key Concepts

Sequential Search

Sequential search, also known as linear search, is a search algorithm that examines each element of a list one by one until it finds the target value or reaches the end of the list. It does not require the data to be sorted and its time complexity is O(n), meaning that in the worst case, every element must be checked. This simplicity makes it useful for small or unsorted datasets, but it can be inefficient for large, sorted datasets compared to other algorithms.

Binary Search

Binary search is an efficient search algorithm designed for sorted lists. It works by repeatedly dividing the list in half, comparing the target value to the middle element, and eliminating the half in which the target cannot lie. With a time complexity of O(log n), it is significantly faster than sequential search for large lists. However, it requires random access to elements and the list must be sorted prior to its application.

Sorted Data

Sorted data is fundamental to the proper functioning of binary search. A sorted list ensures that elements are in a predetermined order (usually ascending or descending), which allows the binary search to correctly eliminate half of the remaining elements in each step. The performance advantage of binary search over sequential search is largely due to working with sorted data.

Search Efficiency

Search efficiency refers to the performance of search algorithms in terms of time and comparisons required to find a target value or determine its absence in a dataset. Evaluation of search efficiency often involves counting the number of elements interrogated during a search. In practical scenarios, identifying the number of comparisons can help determine which algorithm is more suitable based on the characteristics of the dataset, such as being sorted or unsorted, and the distribution of target values.

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