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True or False
For each statement below, indicate whether you think it is True or False.
- For the insert
algorithm , if you use binary search to find the location to insert the new element, it will improve the overall performance of the algorithm to O(log n) - For the update algorithm in a sorted array, all you have to do is use linear or binary search to find the element you want to change, and if you find it, you only need to change it to the new value
- Binary search can be used on an unsorted array
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Solved in 2 steps
- Consider the algorithm for insertion sort shown below. The input to this algorithm is an array A. You must assume that indexing begins at 1.Q:During each iteration of Quick Sort algorithm, the first element of array is selected as a pivot. The algorithm for Quick Sort is given below. Modify it in such a way that last element of array should be selected as a pivot at each iteration. Also explain the advantages.True or False For each statement below, indicate whether you think it is True or False. If you use binary search on a sorted array, the performance at worst is O(log n) For the insert algorithm, if you use binary search to find the location to insert the new element, it will improve the overall performance of the algorithm to O(log n) For the update algorithm in a sorted array, all you have to do is use linear or binary search to find the element you want to change, and if you find it, you only need to change it to the new value Binary search can be used on an unsorted array Inserting elements into a sorted array is O(n) because you have to find the location to add the new element and then shift the remaining elements If the sorted array gets too large, the performance of binary search becomes O(n) For the delete algorithm, after you find the element to delete, you can make the algorithm run faster by replacing it with the last element in the array If you used binary search to…
- Given this array containing characters: Data В C F H J L M R S V X Z Index 1 3 4 5 7 8 9 10 11 12 13 List out the low, middle, and high indices for each pass when using binary search to locate the value 'Q' in the list. Use the following format for each pass needed: Pass: Low: Mid: High:Assume nums is a sorted array containing 4000 integers. We want to search for the value -5, but that value is not in the array. a. If we perform a linear search, how many comparisons will it make to determine -5 is not in the array? [n1] b. If we perform a binary search, what is the maximum number of comparisons it will make to determine -5 is not in the array? [n2] Note: this question is not asking you to find the exact number of comparisons, but rather the maximum number of comparisons Now suppose we double the size of the nums array (to 8000 elements) c. If we perform a linear search, how many comparisons will it make to determine -5 is not in the array? [n3] d. If we perform a binary search, what is the maximum number of comparisons it will make to determine -5 is not in the array? [n4] Note: again, this question is not asking you to find the exact number of comparisons, but rather the maximum number of comparisonsThe formula C=numpy.add(A, B) adds the two matrices A and B and stores the result in C.• To subtract matrix B from matrix A, enter C=numpy.subtract(A, B). The result is stored in C.• C=numpy.divide(A, B): Split matrix A into two equal parts and store the result in C.• C stands for numpy.multiply(A, B): Multiply matrices A and B, then store the result in matrices C.• C=numpy.sum(A): Calculate the sum of each element in the matrix A, then store the result in c R.• C=numpy.sum(A, axis = 0): Create a vector C by adding the columns of the matrix A.• C=numpy.sum(A, axis = 1): Summarize matrix A row-by-row and store the result in the vector C. Create Python code that demonstrates the use of these techniques in a sample matrix.
- Write an algorithm to insert an item into a sorted array.True or False For each statement below, indicate whether you think it is True or False. If you like, you can provide a description of your answer. 1) If you use binary search on a sorted array, the performance at worst is O(log n) 2) For the insert algorithm, if you use binary search to find the location to insert the new element, it will improve the overall performance of the algorithm to O(log n) 3) For the update algorithm in a sorted array, all you have to do is use linear or binary search to find the element you want to change, and if you find it, you only need to change it to the new value 4) Binary search can be used on an unsorted arrayLet N be an unordered array of integers. The maximum number of compares required to find the minimum value is N-1. [True/False]
- The algorithm: –In an array of n elements, go to index [n/2] –If the record there is the one you want, you are done –If the record value there is smaller than your search value, all records less than the current record can be ignored – set your search range of elements to [n/2+1…n] and return to step 1 –Otherwise, set your range of elements to [0…(n/2)-1] and return to step 1 –Repeat this loop until you have 0 elements (record is not found) or record is found Short answer Another approach to the update algorithm is to perform use the delete function for the old value and if it is successful, call the insert function using the new value. Explain in your own words if you think this approach is significantly better, worse, or in the same category as the algorithm discussed in the slides, and why.True or False For each statement below, indicate whether you think it is True or False For the insert function, if the array is empty, there are no comparison operations that need to be performed and you can immediately add the new element Binary search can be used on an unsorted array to significantly improve its performance from O(n) to O(1) Because the update algorithm depends on using linear search, its performance is O(1) in the worst case scenario If you search for and delete an element in an unsorted array and then shift the rest of the elements to fill the hole, the worst case performance is O(n) If you search for and delete an element in an unsorted array and then move the last element to fill the hole, the worst case performance is O(n)Course: Data structure and algorithms: Topic: Algorithm Complexity: Please solve it o emergency basis: Question 2: Imagine that we want to keep track of friendships between n people. We can do this with an array of size nXn. Each row of the array represents the friends of an individual, with the columns indicating who has that individual as a friend. For example, if person j is a friend of person i, then we place a mark in column j of row i in the array. Likewise, we should also place a mark in column i of row j if we assume that friendship works both ways. What will be the space complexity of this problem.