Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 33.4, Problem 1E
Program Plan Intro
To identify the flaw in Professor W’s scheme which states that at most 6 points can reside in
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Given an 8-element array: A = {x1, X2, X3, X4, X5, X6, 7, x8}, we would like to find
its 3rd smallest element. It is known that x₁ and 8 are the two extreme elements:
max and min, but we do not know which one is the max and which one is the min.
It is also known that x4 and x5 are the two medians: left-median and right-median.
What is the minimum number of comparisons you need to find the 3rd smallest
element of the original array?
Ans:
You're given an array of N integers, and a
number K.
The maximum K-product of the array is the
maximum product of any K length subsequence of
the array. For example, the maximum 2-product of
the array [-5, 3, 4, -6] is 30 because the product of
the subsequence [-5, -6] is 30 and it is impossible to
achieve larger subsequence product.
What is the maximum K-product you can achieve?
Using JAVA programming output the max K-
product.
Input:
1
42
5 -3 -4 6
Output:
30
You are given an array J[1 : n] which includes the scores of n players in a game. You are additionally given an array P[1 : m] with the score of m new players. Design and analyze an algorithm that given both arrays J and P, can find the rank of each player P inside the array J, i.e., for each P[i], determines what would be the rank of P[i] in the array consisting of all elements of J plus P[i]. Your algorithm should run in O((n + m) ·log n) time.
Chapter 33 Solutions
Introduction to Algorithms
Ch. 33.1 - Prob. 1ECh. 33.1 - Prob. 2ECh. 33.1 - Prob. 3ECh. 33.1 - Prob. 4ECh. 33.1 - Prob. 5ECh. 33.1 - Prob. 6ECh. 33.1 - Prob. 7ECh. 33.1 - Prob. 8ECh. 33.2 - Prob. 1ECh. 33.2 - Prob. 2E
Ch. 33.2 - Prob. 3ECh. 33.2 - Prob. 4ECh. 33.2 - Prob. 5ECh. 33.2 - Prob. 6ECh. 33.2 - Prob. 7ECh. 33.2 - Prob. 8ECh. 33.2 - Prob. 9ECh. 33.3 - Prob. 1ECh. 33.3 - Prob. 2ECh. 33.3 - Prob. 3ECh. 33.3 - Prob. 4ECh. 33.3 - Prob. 5ECh. 33.3 - Prob. 6ECh. 33.4 - Prob. 1ECh. 33.4 - Prob. 2ECh. 33.4 - Prob. 3ECh. 33.4 - Prob. 4ECh. 33.4 - Prob. 5ECh. 33.4 - Prob. 6ECh. 33 - Prob. 1PCh. 33 - Prob. 2PCh. 33 - Prob. 3PCh. 33 - Prob. 4PCh. 33 - Prob. 5P
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