Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Consider the following array of int values.
[17, 11, 6, 22, -3, 8, 4, 22, 2, 35, -4, 10]
- Write the contents of the array after 4 passes of the outermost loop of selection sort.
Assume selection sort is sorting slots from low-to-high - Write the contents of the array during each of the the recursive calls of merge sort.
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- Quicksort SPLIT (the 2-pointer algorithm covered in class) is applied to the integer array [4,3,5,7,9,2,1], using the first entry as the pivot. Show the series of item swaps that are performed in the split process, and the array after each of these swaps, up to and including the step of placing the pivot at its correct location. You only need to show the split of the original array, you are not required to continue working on the subarrays after the split.arrow_forwardModify the recursive Fibonacci function to employ the memoization technique discussed in this chapter. The function creates a dictionary and then defines a nested recursive helper function named memoizedFib. You will need to create a dictionary to cache the sum of the fib function. The base case of the fib function is the same as before. However, before making any recursive calls, the helper function looks up the value for the function’s current argument in the dictionary (use the method get, with None as the default value). If the value exists, the function returns it and skips any recursive calls. Otherwise, after the helper function adds the results of its two recursive calls, it saves the sum in the dictionary with the current argument of the function as the key. Note: The program should output in the following format: n fib(n) 2 1 4 3 8 21 16 987 32 2178309 ---------------------------------------------------------------------------------- def…arrow_forwardWrite the state of the elements of the vector below after each of the first 4 passes of the outermost loop of the insertion sort algorithm. (After the first pass, 2 elements should be sorted. After the second pass, 3 elements should be sorted. And so on.) // index 0 1 2 3 4 5 6 7 vector<int> numbers{29, 17, 3, 94, 46, 8, -4, 12}; insertionSort(numbers); NOTE: Write your answer inside curly braces with numbers separated by commas {29, 17, 3, 94, 46, 8, -4, 12} after pass 1 after pass 2 after pass 3 after pass 4arrow_forward
- 3. Selection Sort• The idea in a selection sort is that you locate the largest item out of a set ofunsorted items, and move it into position at the end of the unsorted items. Asorted region grows one item at a time, while an unsorted region shrinks.• As done in Part 1, fill an array with random numbers.• Write a function that locates the largest element in the portion of the arraybeginning at the start of the array, up to a given index, and swaps the largestitem with the item at the given index.• E.g. If searching a[0] to a[7] locates the largest item at a[4], a[4] and a[7] would beswapped.• Write a second function that calls the first function repeatedly, until the entirearray is sorted. (Each time the first function is called, it will search one fewerelement)arrow_forwardHomework 7: Merging two sorted arrays Due date: Saturday March 18. Objectives: Learn to implement algorithms that work with multiple arrays. Understand the Merging algorithm. IMPORTANT. Carefully study Lecture 1 from Week 8 on D2L before you start on this. Sometimes we need to combine the values in two sorted sequences to produce a larger sorted sequence. This process is called Merging. As an example, if the first sequence (S1)contains the numbers 2 3 4 4 5 9 and the second sequence (S2) contains the numbers 1 4 5 8 9 11 12 13 17 the output sequence will contain 1 2 3 4 4 4 5 5 8 9 9 11 12 13 17 Each sequence can be stored in an array. The strategy is as follows: Start by comparing the first items in the two input arrays. Write the smaller number to the output array, and move to the the next item in that array. This is repeated until we reach the end of any one of the input arrays; thereafter, we simply copy all the numbers from the other input array to the output array. (In the…arrow_forwardhelparrow_forward
- Lab 16 Implementing bubble sort In this lab, you will implement the bubble sort algorithm. The bubble sort is so called because it compares adjacent items, "bubbling" the smaller one up toward the beginning of the array. By comparing all pairs of adjacent items starting at the end of the array, the smallest item is guaranteed to reach the beginning of the array at the end of the first pass.The second pass begins again at the end of the array, ultimately placing the second smallest item in the second position. During the second pass, there is no need to compare the first and second items, because the smallest element is guaranteed to be in the first position.Bubble sort takes at most n - 1 passes for an array of n items. During the first pass, n - 1 pairs need to be compared. During the second pass, n - 2 pairs need to be compared. During the ith pass, n - i pairs need to be compared. During the last pass, n - (n - 1) or one pair needs to be compared. If, during any pass, no two…arrow_forward8arrow_forwardWrite an array that matches the following requirement, and provide explanation of how you got your answer.--> Using a insertion sort on the array compared to using a selection sort requires FEWER comparisons of elements.arrow_forward
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