(II)Complete the method of finding max diff() and analyze its running time. Given an array A of...
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(II)Complete the method of finding max diff() and analyze its running time.
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Given an array A of n elements, find out the maximum difference between any two elements such that larger element appears after the smaller element in A. In other words, find a pair of elements A[p], A[q] with q>p such that (A[q] - A[p]) is the maximum among all such pairs in A. For example, if array is [2, 3, 10, 6, 4, 8, 1] then the maximum difference should be 8 (Diff between 10 and 2). If array is [ 7, 9, 1, 6, 3, 21 then the maximum difference should be 5 (Diff between 1 and 6). a divide-and-conquer algorithm of O(n) time complexity to solve this problem. (i) describe the idea behind your algorithm in English (2 points); Given an array A of n elements, find out the maximum difference between any two elements such that larger element appears after the smaller element in A. In other words, find a pair of elements A[p], A[q] with q>p such that (A[q] - A[p]) is the maximum among all such pairs in A. For example, if array is [2, 3, 10, 6, 4, 8, 1] then the maximum difference should be 8 (Diff between 10 and 2). If array is [ 7, 9, 1, 6, 3, 21 then the maximum difference should be 5 (Diff between 1 and 6). a divide-and-conquer algorithm of O(n) time complexity to solve this problem. (i) describe the idea behind your algorithm in English (2 points);
Expert Answer:
Answer rating: 100% (QA)
We can solve this problem using Divide and conquer approach Based on this we can divide the array into two equal parts and calculate the max difference of the left and right parts recursively Then the ... View the full answer
Related Book For
Data Structures and Algorithms in Java
ISBN: 978-1118771334
6th edition
Authors: Michael T. Goodrich, Roberto Tamassia, Michael H. Goldwasser
Posted Date:
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