(a) Given an array A of n distinct integer elements with the following property: The first...
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(a) Given an array A of n distinct integer elements with the following property: The first k elements (0 < k < n-1) are in strictly increasing sequence followed by the strictly decreasing sequence. Example: A = {1, 3, 4, 5, 7, 14, 11, 7, 2, -4, -8). It monotonically increases from 1 to 14, then decreases from 14 to -8 Implement a sub-linear running time complexity program in Java that, given an array with the previous property, determines whether a given integer is in the array. (b) The input is an N by N matrix of nonnegative integers. Each individual row is a decreasing sequence from left to right. Each individual column is a decreasing sequence from top to bottom. Implement in Java a linear running time algorithm that decides if a number x is in the matrix. Please include in the header of your Java program (using comments) the main ideas of your algorithm. Example of the 4 x 4 matrix: /26 22 17 10\ 19 16 12 7 12 10 7 4 5 4 2 1 Important Notes: You must add the main method in your program in order to test your implementation. (a) Given an array A of n distinct integer elements with the following property: The first k elements (0 < k < n-1) are in strictly increasing sequence followed by the strictly decreasing sequence. Example: A = {1, 3, 4, 5, 7, 14, 11, 7, 2, -4, -8). It monotonically increases from 1 to 14, then decreases from 14 to -8 Implement a sub-linear running time complexity program in Java that, given an array with the previous property, determines whether a given integer is in the array. (b) The input is an N by N matrix of nonnegative integers. Each individual row is a decreasing sequence from left to right. Each individual column is a decreasing sequence from top to bottom. Implement in Java a linear running time algorithm that decides if a number x is in the matrix. Please include in the header of your Java program (using comments) the main ideas of your algorithm. Example of the 4 x 4 matrix: /26 22 17 10\ 19 16 12 7 12 10 7 4 5 4 2 1 Important Notes: You must add the main method in your program in order to test your implementation.
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This program first need to find the peak element using binary search then it performs binary search ... 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
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