12.18 LAB: Binary search Binary search can be implemented as a recursive algorithm. Each call makes a recursive call on one-half of the list the call received as an argument. Complete the recursive method binarySearch() with the following specifications: 1. Parameters: 。 a target integer 。 an ArrayList of integers 。 lower and upper bounds within which the recursive call will search 2. Return value: 。 the index within the ArrayList where the target is located 。 -1 if target is not found The template provides main() and a helper function that reads an ArrayList from input. The algorithm begins by choosing an index midway between the lower and upper bounds. 1. If target == integers.get(index) return index 2. If lower == upper, return -1 to indicate not found 3. Otherwise call the function recursively on half the ArrayList parameter: 。 If integers.get(index) < target, search the ArrayList from index + 1 to upper 。 If integers.get(index) > target, search the ArrayList from lower to index - 1 The ArrayList must be ordered, but duplicates are allowed. Once the search algorithm works correctly, add the following to binarySearch(): 4. Count the number of calls to binarySearch(). 5. Count the number of times when the target is compared to an element of the ArrayList. Note: lower Hint: Use a static variable to count calls and comparisons. The input of the program consists of: 1. the number of integers in the ArrayList 2. the integers in the ArrayList 3. the target to be located Ex: If the input is: == upper should not be counted. 9 1 2 3 4 56789 2 the output is: index: 1, recursions: 2, comparisons: 3
12.18 LAB: Binary search Binary search can be implemented as a recursive algorithm. Each call makes a recursive call on one-half of the list the call received as an argument. Complete the recursive method binarySearch() with the following specifications: 1. Parameters: 。 a target integer 。 an ArrayList of integers 。 lower and upper bounds within which the recursive call will search 2. Return value: 。 the index within the ArrayList where the target is located 。 -1 if target is not found The template provides main() and a helper function that reads an ArrayList from input. The algorithm begins by choosing an index midway between the lower and upper bounds. 1. If target == integers.get(index) return index 2. If lower == upper, return -1 to indicate not found 3. Otherwise call the function recursively on half the ArrayList parameter: 。 If integers.get(index) < target, search the ArrayList from index + 1 to upper 。 If integers.get(index) > target, search the ArrayList from lower to index - 1 The ArrayList must be ordered, but duplicates are allowed. Once the search algorithm works correctly, add the following to binarySearch(): 4. Count the number of calls to binarySearch(). 5. Count the number of times when the target is compared to an element of the ArrayList. Note: lower Hint: Use a static variable to count calls and comparisons. The input of the program consists of: 1. the number of integers in the ArrayList 2. the integers in the ArrayList 3. the target to be located Ex: If the input is: == upper should not be counted. 9 1 2 3 4 56789 2 the output is: index: 1, recursions: 2, comparisons: 3
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter17: Linked Lists
Section: Chapter Questions
Problem 5PE
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