QUIZ TIME!
Master the Boyer-Moore Voting Algorithm
Test your knowledge on the Boyer-Moore Voting algorithm with this engaging quiz! Dive into the world of algorithms and discover the intricacies of finding the majority element in an array.
Whether you're a student looking to solidify your understanding or a teacher seeking to challenge your class, this quiz is tailored for you. Here's what you can expect:
- 10 thoughtfully crafted questions
- Multiple-choice format
- Instant feedback on your answers
What is the time complexity of the Boyer-Moore Voting algorithm?
O(n)
O(n^2)
O(log n)
O(nlogn)
What is the Boyer-Moore Voting algorithm used for?
Finding the minimum element in an array
Finding the maximum element in an array
Finding the majority element in an array
Sorting an array in ascending order
What is the space complexity of the Boyer-Moore Voting algorithm?
O(log n)
O(n)
O(e^n)
O(1)
What is the advantage of the Boyer-Moore Voting algorithm over other algorithms for finding the majority element in an array?
It has a faster worst-case time complexity
It requires less space
It is more accurate in finding the majority element
It works on arrays of any size
True/False: The Boyer-Moore Voting algorithm is a divide-and-conquer algorithm.
True
False
How does the Boyer-Moore Voting algorithm handle arrays with multiple majority elements?
It returns the first majority element it finds
It returns all majority elements it finds
It randomly selects one of the majority elements
It cannot handle arrays with multiple majority elements
Which of the following statements is true about the Boyer-Moore Voting algorithm?
It works only for sorted arrays.
It always finds the majority element if one exists.
It has a space complexity of O(n^2)
It works only for arrays with unique elements.
Which of the following is a situation where the Boyer-Moore Voting algorithm might not work?
When the array has no majority element.
When the majority element occurs exactly half the time in the array.
When the array has duplicate elements.
When the majority element is the smallest element in the array.
Which of the following modifications can be made to the Boyer-Moore Voting algorithm to handle arrays with multiple majority elements?
Increase the size of the counter.
Divide the array into smaller subarrays.
Keep track of all potential majority elements.
Randomly select one of the potential majority elements.
Consider an array of n integers, where n is an odd number. There is a majority element in the array, which occurs more than n/2 times. You are given an algorithm that randomly permutes the array, and then applies the Boyer-Moore Voting algorithm to find the majority element. What is the probability that the algorithm will correctly identify the majority element?
1/2
1/n
1/n!
1/n^2
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