
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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If the search element (key) id the first element in the array of size 10, the recursive method for binary search will be called :
a.Only once
b.Exactly twice
c.10 times
d.More than twice
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- Write a recursive function that returns the largest integer in a list. Write a test program that prompts the user to enter a list of integers and displays the largest element.arrow_forwardnputer Science I| for Majors home > 13.4: Recursive Helper Methods E zyBa Feedb PARTICIPATION 13.4.3: Compute recursively to determine the sum of values in an array. АCTIVITY Assume you have the following method: public static int sum(int [] a) To compute the sum of the values in an array, add the first value to the sum of the remaining values, computing recursively. Rearrange the following lines to design a recursive helper method to solve this problem. Not all lines are useful. Mouse: Drag/drop Keyboard: Grab/release Spacebar (or Enter). Move 0000 Cancel Esc Unused FindSum.java Load default template.. return a[start] + sumHelper(a, start - 1); import java.util.Scanner; return alstart] + sumHelper(a, start + 1); public class FindSum { if (start == a. length) { return a[start); } if (start == a.length - 1) { return alstart]; } public static int sum(int[0 a) if (a.length == 0) { return -1; } return sumHelper(a, 0); if (a.length == 0) { return 0; } public static int sumHelper(int [] a,…arrow_forwardThe following recursive method get Number Equal searches the array x of 'n integers for occurrences of the integer val. It returns the number of integers in x that are equal to val. For example, if x contains the 9 integers 1, 2, 4, 4, 5, 6, 7, 8, and 9, then getNumberEqual(x, 9, 4) returns the value 2 because 4 occurs twice in x. public static int getNumberEqual(int x[], int n, int val) { if (n< 0) ( return 0; } else { if (x[n-1) == val) { return getNumberEqual(x, n-1, val) +1; } else { return getNumber Equal(x, n-1, val); } // end if ) // end if } // end get Number Equal Demonstrate that this method is recursive by listing the criteria of a recursive solution and stating how the method meets each criterion.arrow_forward
- Construct recursive versions of the library functions that: a. calculate the "sum" of a list of numbers. b. "take" a given number of elements from the beginning of a list. c. select the "last" element of a non-empty list .arrow_forwardComplete the combinations function to generate all combinations of the characters in the string s with length k recursivelyarrow_forwardQuick Sort We choose an element from the list, called the pivot. We'll use it to divide the list into two sub-lists. We reorder all the elements around the pivot The ones with smaller value are placed before it All the elements greater than the pivot after it. After this step, the pivot is in its final position. This is the important partition step. We apply the above steps recursively to both sub-lists on the left and right of the pivot. Quick Sort (Example) Consider the following array Arr[] = {5, 9, 4, 6, 5, 3} Let's suppose we pick 5 as the pivot for simplicity We'll first put all elements less than 5 in the first position of the array: {3, 4, 5, 6, 5, 9} We'll then repeat it for the left sub-array {3,4}, taking 3 as the pivot There are no elements less than 3 We apply quicksort on the sub-array in the right of the pivot, i.e. {4} This sub-array consists of only one sorted element We continue with the right part of the original array, {6, 5, 9} until we get the final ordered…arrow_forward
- Complete the recursive function remove_last which creates a new list identical to the input list s but with the last element in the sequence that is equal to x removed. Hint: Remember that you can use negative indexing on lists! For example 1st [-1] refers to the last element in a list 1st, lst [-2] refers to the second to last element... def remove_last(x, s): """Create a new list that is identical to s but with the last element from the list that is equal to x removed. >>> remove_last(1, []) [] >>> remove_last(1, [1]) [] >>> [1] >>> [2] remove_last(1, [1,1]) remove_last(1, [2,1]) >>> remove_last(1, [3,1,2]) [3, 2] >>> remove_last(1, [3,1,2,1]) [3, 1, 2] >>> remove_last (5, [3, 5, 2, 5, 11]) [3, 5, 2, 11] IIIII "*** YOUR CODE HERE ***" Illustrated here is a more complete doctest that shows good testing methodology. It is a little cumbersome as documentation, but you'll want to think about it for your projects. Test every condition that might come up. Then you won't be surprised when…arrow_forwardIN PYTHON THANK YOUarrow_forwardIN JAVA Write recursive code and iterative code for binary search.arrow_forward
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