AIM: Write a program to do Binary Search using a given Search Key in a Sorted Linear Array 'A' which has N values in it. Description: The binary search algorithm can only be used with sorted array and eliminates one half of the elements in the array being searched after each comparison. The binary search algorithm applied to our array A works as follows: Algorithm: (Binary Search) Here A is a sorted Linear Array with N elements stored in it in sorted order and SKEY is a given item of information to search. This algorithm finds the location of SKEY in A and if successful, it returns its location otherwise it returns -1 for unsuccessful. BinarySearch (A, N, SKEY) [Initialize segment variables.] 1. Set START=0, END=N-1 and MID=int((START+END)/2). 2. Repeat Steps 3 and 4 while START ≤ END and A[MID]+SKEY. 3. If SKEY< A[MID] Then Set END=MID-1. Else Set START=MID+1. [End of If Structure.] Set MID=int((START +END)/2). [End of Step 2 loop.] 5. If A[MID] = SKEY then Else 4. Set LOC = -1 [End of IF structure.] 6. return LOC and End Set LOC= MID

AIM: Write a program to do Binary Search using a given Search Key in a Sorted Linear Array 'A' which has N values in it. Description: The binary search algorithm can only be used with sorted array and eliminates one half of the elements in the array being searched after each comparison. The binary search algorithm applied to our array A works as follows: Algorithm: (Binary Search) Here A is a sorted Linear Array with N elements stored in it in sorted order and SKEY is a given item of information to search. This algorithm finds the location of SKEY in A and if successful, it returns its location otherwise it returns -1 for unsuccessful. BinarySearch (A, N, SKEY) [Initialize segment variables.] 1. Set START=0, END=N-1 and MID=int((START+END)/2). 2. Repeat Steps 3 and 4 while START ≤ END and A[MID]+SKEY. 3. If SKEY< A[MID] Then Set END=MID-1. Else Set START=MID+1. [End of If Structure.] Set MID=int((START +END)/2). [End of Step 2 loop.] 5. If A[MID] = SKEY then Else 4. Set LOC = -1 [End of IF structure.] 6. return LOC and End Set LOC= MID

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Following is the function for interpolation search. This searching algorithm estimates the position (index) of a key in array based on the elements in the first position and last position in the array, and the length of array. The array must be sorted in ascending order. Suppose array A contains the following 15 elements: A = [1, 3, 3, 10, 17, 22, 22, 22, 24, 25, 26, 27, 27, 28, 28] At first iteration, at which position (index) the element of 24 is estimated in array A? In which part of array (starting index and ending index) the searching should continue? How many iterations the searching are performed until the element of 24 is found? int InterpolationSearch(int x[], int key, int n) { int mid, min = 0, max = n-1; while(x[min] < key && x[max] > key) { mid = min + ((key-x[min])*(max-min)) / (x[max]-x[min]); if(x[mid] < key) min = mid + 1; else if(x[mid] > key) max = mid - 1; else return mid; } if…
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…
Q.1. Implement insertion sort using C++ STL with following constrain and write a program : The insertion sort procedure uses searching procedure to find the position of the unsorted array elements in sorted array. This searching procedure can start from the beginning index of the sorted array or ending index of the sorted array. Here your program should consider the searching procedure that should starts from beginning index of the sorted array. Q.2. Implement insertion sort using C++ STL with following constrain and write a program : To find the position of the unsorted-array elements in insertion sort, it is depending on searching procedure. In this procedure it stops at a position after identifying the first occurred element (in sorted-array) which is greater than the element (in unsorted-array). Here the programmer should apply intelligence in such a way that, the position of an element can be identified after finding the closet element in sorted-array. Example: Let the elements…
Easy C++ program please answer fast Maximum Subarray Sum Rabbit Jerry downloads the list of N (2 ≤ N ≤ 105 ) stock prices of RABJ and stores them into a circular buffer/array in a clockwise manner (i.e., the first stock price follows the N-th stock price on the circular buffer) starting from index position 0. It is worth pointing out that the stock prices can be negative numbers in the rabbit stock market. He is curious about the maximum subarray sum over this circular buffer. Certainly, the maximum subarray can possibly straddle over both index positions 0 and N-1. Output the maximum subarray sum. The maximum subarray must contain at least one element. INPUT FORMAT (input arrives from the terminal / stdin): First line contains N. The next line contains N space-separated integers denoting the input sequence. The price ranges from -1,000,000 to 1,000,000. OUTPUT FORMAT (print output to the terminal / stdout): A single line containing the maximum subarray sum. Note that the output can…
CST-201 Project 0: Array Warm-Up The purpose of this assignment is to practice manipulating arrays. This assignment assesses your ability to: ▪Implement sequential and binary search algorithms for array structures. ▪Implement iterative sorting algorithms for array data. For this assignment, write a program that reads a text file and stores each word in an array. Write one of the iterative sorting algorithms to sort your data. Once the data is sorted, write a binary sort algorithm that, when given a string, returns either the index of the string or a -1 to indicate the string was not found in the array. Your program should allow the user to continually enter strings. An entry of 0 indicates the user is finished searching for strings. Start your program by reading strings from a file and populating a string array. Declare the array with a capacity for 10,000 strings. An input file is included with this assignment: ‘text.txt’. Next, write a method that implements either bubble sort,…
4. Insertion Sort• The idea with an insertion sort is that a sorted region grows one item at atime, by inserting an item into its correct position within the sorted region.• As done in Part 1, fill an array with random numbers.• Write a function that inserts an item into a sorted region of an array. Passthe function the index of the item to be inserted (i.e. the index of the firstitem in the unsorted region). Insert that item by shifting items over oneposition, until you have found the correct location to insert the item.• E.g. if given a = [2 5 8 9 6 3 7] and the index 4, a[4] should be inserted into thesorted portion, giving [2 5 6 8 9 3 7]• Write a second function that calls the first function repeatedly, until theentire array is sorted. (Each time the first function is called, it will insert anitem into a larger sorted region.)
Question 17 Aa .You are given a sorted list of n numbers stored in an array A, where n can be arbitrarily large. Now randomly generate a number k and search the number in the list (i.e., in A). Now randomly select two subarrays of A, each of size n^1/2 . Then repeat the same procedure on each of the subarrays. The procedure stops after the subarray sizes become 1. Analyze the time complexity of finding the total number of successful searches in the entire procedure using big O-notation Full explain this question and text typing work only We should answer our question within 2 hours takes more time then we will reduce Rating Dont ignore this line
The code below computes the intersection (the number of entries shared by two arrays). It is assumed that neither array contains any duplicates. It computes the intersection by sorting one array (array b) and then iterating over array a to see if each value is in b (through binary search). What is its duration? nt intersection(int[] a, int[] b) {mergesort(b);}int intersect = 0;for (int x : a) {if (binarySearch(b, x) >= 0) {intersect++;return intersect; }}
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.
Q.No.1. In computer science, binary search, also known as half-interval search, is a search that finds the position of a target value within a sorted array. Binary search compares the target value to the middle element of the array. Develop the pseudo code that takes any number from user and performs Binary Search.
ALGO1(A)// A is an integer array, an index that starts at 11): for i=1 to n-1 do2): minIndex = findSmallest(A,i)3): exchange A[i] with A[minIndex] The sub-routine find the smallest(A, i) in Line 2, and returns the index of the smallest element in thesub-array A[i:n]Suppose the array below is provided as input to ALGO1 2 5 6 7 3 8 1 4 Fill in the Blanks At the end of the first iteration of the for loop (i.e. with i=1)1) a) the element at index 1 is : b) the element at index 4 is : c) the element at index 7 is :
6. Read in two integers n and m (n, m < 50). Read n integers in an array A. Read m integers in anarray B. Then do the following (write separate programs for each, only the reading part iscommon).a) Find if there are any two elements x, y in A and an element z in B, such that x + y = z.b) Copy in another array C all elements that are in both A and B (intersection).c) Copy in another array C all elements that are in either A and B (union).d) Copy in another array C all elements that are in A but not in B (difference).Do In c Program