3. (20 marks) There are numbers from 1 to n in an array A. Out of...
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3. (20 marks) There are numbers from 1 to n in an array A. Out of these, one of the number gets duplicated and one is missing. (a) (10 marks) Design an algorithm to find out the duplicate number. For example, let n be 7 and array A be {3, 5, 2, 6, 1, 7, 6 }, the answer should be 6. You have to do it in O(n) time without using any auxiliary space (array, etc..). Justify your solution (why your algorithm is (n)). Give the pseudo code description of your algorithm and analyze its time complexity. (b) (10 marks) Implement your algorithm using Java. Your program takes any valid sequence of numbers as the input, outputs the repeating number. 3. (20 marks) There are numbers from 1 to n in an array A. Out of these, one of the number gets duplicated and one is missing. (a) (10 marks) Design an algorithm to find out the duplicate number. For example, let n be 7 and array A be {3, 5, 2, 6, 1, 7, 6 }, the answer should be 6. You have to do it in O(n) time without using any auxiliary space (array, etc..). Justify your solution (why your algorithm is (n)). Give the pseudo code description of your algorithm and analyze its time complexity. (b) (10 marks) Implement your algorithm using Java. Your program takes any valid sequence of numbers as the input, outputs the repeating number.
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Part a Design an algorithm to find the duplicate number We can use the mathematical properties of the sum of the first n natural numbers and the sum o... View the full answer
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
Posted Date:
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