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Consider a billboard that consists of n vertical panels of width 1 and varying integer heights, hanged down and held by a horizontal roller from the top. The panel i has a height hi. For the objective of placing two banners, it is allowed to move each panel up by any integer length using the roller. Once the necessary moves are completed, you may place two banners completely inside of the panels. Based on the above description, what is the maximum total area that you can provide for the two posters? Input The first line of input contains one integer n (1

Consider a billboard that consists of n vertical panels of width 1 and varying integer heights, hanged down and held by a horizontal roller from the top. The panel i has a height hi. For the objective of placing two banners, it is allowed to move each panel up by any integer length using the roller. Once the necessary moves are completed, you may place two banners completely inside of the panels. Based on the above description, what is the maximum total area that you can provide for the two posters? Input The first line of input contains one integer n (1

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Consider a billboard that consists of n vertical panels of width 1 and varying integer heights, hanged down and held by a horizontal roller from the top. The panel i has a height hi. hi For the objective of placing two banners, it is allowed to move each panel up by any integer length using the roller. Once the necessary moves are completed, you may place two banners completely inside of the panels. Based on the above description, what is the maximum total area that you can provide for the two posters? Input The first line of input contains one integer n (1<n<1000) – the number of vertical panels. The second line of input contains n integers h,h.,.,h. (1<h<1000) – the heights of the n vertical panels. Output Print a single integer – the maximum total area the two posters can cover together. Example 1: Input: 2 2 3 5 4 5 Output: 18 6 Note In this sample test, we can choose two areas:12 and 6 as illustrated in the image. 12 Example 2: Input: 4 5 3 4 3 Output: 17 a) Design a brute-force algorithm to solve this problem using a (Pseudocode) and find its complexity. b) Implement your brute-force algorithm using Python of 7 vertical panels with different heights to demonstrate your solution. c) Can a more efficient solution be designed? If yes, demonstrate it using Pseudocode and analyze its complexity. . d) Provide a brief report (250 words) that explains the difference between the two solution. and invent an example
Transcribed Image Text:Consider a billboard that consists of n vertical panels of width 1 and varying integer heights, hanged down and held by a horizontal roller from the top. The panel i has a height hi. hi For the objective of placing two banners, it is allowed to move each panel up by any integer length using the roller. Once the necessary moves are completed, you may place two banners completely inside of the panels. Based on the above description, what is the maximum total area that you can provide for the two posters? Input The first line of input contains one integer n (1<n<1000) – the number of vertical panels. The second line of input contains n integers h,h.,.,h. (1<h<1000) – the heights of the n vertical panels. Output Print a single integer – the maximum total area the two posters can cover together. Example 1: Input: 2 2 3 5 4 5 Output: 18 6 Note In this sample test, we can choose two areas:12 and 6 as illustrated in the image. 12 Example 2: Input: 4 5 3 4 3 Output: 17 a) Design a brute-force algorithm to solve this problem using a (Pseudocode) and find its complexity. b) Implement your brute-force algorithm using Python of 7 vertical panels with different heights to demonstrate your solution. c) Can a more efficient solution be designed? If yes, demonstrate it using Pseudocode and analyze its complexity. . d) Provide a brief report (250 words) that explains the difference between the two solution. and invent an example
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