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Questions and Answers
What is the main concept behind the Binary Search algorithm?
What is the main concept behind the Binary Search algorithm?
- Dividing the search interval in half (correct)
- Checking for the element at the middle index
- Linearly searching the list from start to end
- Iteratively reducing the search interval by a fixed amount
What is the time complexity of the Binary Search algorithm?
What is the time complexity of the Binary Search algorithm?
- O(log n) (correct)
- O(n)
- O(2^n)
- O(n^2)
What is the major advantage of using Binary Search over Linear Search?
What is the major advantage of using Binary Search over Linear Search?
- Binary Search is more suitable for small datasets
- Binary Search requires less memory
- Binary Search is easier to implement
- Binary Search is faster for large datasets (correct)
What is the purpose of the 'Mid' variable in the Binary Search algorithm?
What is the purpose of the 'Mid' variable in the Binary Search algorithm?
What happens when the target element is found using Binary Search?
What happens when the target element is found using Binary Search?
What is the initial search interval in Binary Search?
What is the initial search interval in Binary Search?
What is the termination condition for the Binary Search algorithm?
What is the termination condition for the Binary Search algorithm?
What is the main advantage of using Divide and Conquer algorithms like Binary Search?
What is the main advantage of using Divide and Conquer algorithms like Binary Search?
What is the primary motivation behind finding the fastest way to search?
What is the primary motivation behind finding the fastest way to search?
What is the fundamental requirement for applying the binary search algorithm?
What is the fundamental requirement for applying the binary search algorithm?
How does the binary search algorithm decide which half of the remaining entries to search?
How does the binary search algorithm decide which half of the remaining entries to search?
What is the minimum number of comparisons required to search for a 'data' in a binary search algorithm?
What is the minimum number of comparisons required to search for a 'data' in a binary search algorithm?
What is the output of the binary search algorithm if the key is found in the array?
What is the output of the binary search algorithm if the key is found in the array?
What is the purpose of the initialization step in the binary search algorithm?
What is the purpose of the initialization step in the binary search algorithm?
What is the time complexity of the binary search algorithm?
What is the time complexity of the binary search algorithm?
What is the main idea behind the binary search algorithm?
What is the main idea behind the binary search algorithm?
What is the primary concern addressed by the provided table?
What is the primary concern addressed by the provided table?
Which of the following algorithms would be most suitable for searching the provided table?
Which of the following algorithms would be most suitable for searching the provided table?
What is the primary advantage of using a divide-and-conquer approach in searching algorithms?
What is the primary advantage of using a divide-and-conquer approach in searching algorithms?
In the context of searching algorithms, what does 'divide and conquer' refer to?
In the context of searching algorithms, what does 'divide and conquer' refer to?
What is the time complexity of a linear search algorithm?
What is the time complexity of a linear search algorithm?
Which of the following is a key assumption for the efficiency of binary search?
Which of the following is a key assumption for the efficiency of binary search?
What is the primary disadvantage of using a linear search algorithm?
What is the primary disadvantage of using a linear search algorithm?
In the context of algorithm analysis, what does 'time complexity' refer to?
In the context of algorithm analysis, what does 'time complexity' refer to?
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Study Notes
Binary Search
- Binary search is a search algorithm that finds an element in a sorted array by repeatedly dividing the search interval in half.
- The algorithm starts by looking at the middle element of the array, and if the target element is not found, it repeats the process on the appropriate half of the array.
- The algorithm continues until the target element is found or the search interval is empty.
Example of Binary Search
- The example shows a binary search on the array
-86, -37, -23, 0, 5, 18, 21, 64, 97
to find the element18
. - The algorithm starts by looking at the middle element
5
, and since18
is greater than5
, it repeats the process on the upper half of the array. - The algorithm continues until the element
18
is found at index5
.
Importance of Search Time
- Time is money, and finding the fastest way to search for an element saves time and money.
- The slow process of searching for an element can be optimized by using a more efficient search algorithm like binary search.
Binary Search Algorithm
- The algorithm works on a sorted array, and if the array is not sorted, it needs to be sorted first.
- The algorithm starts by looking at the middle element of the array, and if the target element is not found, it repeats the process on the appropriate half of the array.
- The algorithm continues until the target element is found or the search interval is empty.
Linear Search
- Linear search is a search algorithm that checks each element of the array one by one until it finds the target element.
- The example shows a linear search on a large array of area codes.
Key Points
- Binary search is faster than linear search for large datasets.
- Binary search requires a sorted array, while linear search does not.
- Binary search is useful when searching for an element in a large dataset.
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