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
There are n cities connected by some number of flights. You are given an array of flights F[1, . . . , n], where F[i] = (Fromi, Toi, pi) indicates that there is a flight from city Fromi to city Toi with cost pi. You are also given three integers src, dst, and k, return the cheapest price from city src to city dst with at most k stops. If there is no such route, return -1.
Precisely define the subproblem.Provide the recurrence equation.Describe the algorithm in pseudocode to compute the optimal value.Describe the algorithm in pseudocode to print out an optimal solution.
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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