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 33.2, Problem 5E
Program Plan Intro
To determine whether two simple polygons with a total of n vertices intersect or not.
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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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- Given an n-element array X of integers, Algorithm A executes an O(n) time computation for each even number in X and an O(log-n) time computation for each odd number in X. What are the best case and worst case for running time of algorithm C?arrow_forwardC 6 do Apply Dijkstra's algorithm to find the shortest path from the vertex a to the vertex h. 10 10, 4 a 9 14 8 h 2 e 8 3 a 9 a N 10 garrow_forwardHow to draw a a Sierpinski triangle of order n, such that the largest filled triangle has bottom vertex (x, y) and sides of the specified length?arrow_forward
- Please explain Give an algorithm that solves the Closest pair problem in 3D in Θ(n log n) time. (Closest pair problem in 3D: Given n points in the 3D space, find a pair with the smallest Euclidean distance between them.)arrow_forwardRun the Dijkstra's algorithm on the following graph and find all shortest paths between vertex A and all others. B 2 A 6 8 5 C 4 3 6 D 9 E F 10 1 5arrow_forwardc) Given the following Graph and after applying Dijkstra algorithm, the final table looks as given below. 1 Vertex A B с D E F G H I J K L M 16 3 4 5 T T T T T T T T H known T T T T T 10 18 d. 19 41 11 6 2 20 7 0 15 H с M P G J 10 K 30 D 5 G 7 J 14 K 31 T 10 560 From this information, find out the shortest path from the source vertex B to vertex I. trace the path and also find out the shortest distance.arrow_forward
- Using Dijkstra’s algorithm, find the shortest path between C and all other vertices. Write the python algorithm for it.arrow_forwardAny-Segment-Intersect() is an algorithm that checks whether any pair of n given line segments intersect. How would you modify or use this algorithm to check if the two given rectangles intersect?arrow_forwardDesign an O(logn) time algorithm which finds the leftmost and rightmost vertices of a convex polygon. Hint: Use binary search.arrow_forward
- Design an algorithm to find the shortest (directed) cycle containing a vertex v. What is the space and time complexity of your algorithm? Prove that your algorithm finds the shortest cycle.arrow_forward3. What is the shortest path from vertex 'd' to 'h'? You may use Dijkstra's algorithm or any other method. Answer in this format: a-b-c-d-e-f (h 3 b 2 2. 4 2 5 1 3arrow_forwardc) Given the following Graph and after applying Dijkstra algorithm, the final table looks as given below. 16 10 11 12 XXX H 4 18 Fr Vertex known d. T A 7 B T 0 15 H 19 C 41 M J B C D E F G I J JJ K L M T T T T T T T T T T T 6 2 20 5 7 14 31 P G 10 K 30 D G J K T 10 560 From this information, find out the shortest path from the source vertex B to vertex I, trace the path and also find out the shortest distance.arrow_forward
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