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Given a set of buildings, the skyline is the silhouetted shape formed by the highest boundaries of the buildings viewed from a distance. In this problem, we will compute the skyline of a set of buildings represented by rectangles. For an illustrative example, consider the set of rectangles in Figure 1 and their skyline. The input is a list B of rectangles in the format B = [(s, e, h.), (S2, e2, h:)... (Sa, en, h.)]. For each rectangle Bi E B, the first two coordinates s; and e, are the horizontal bounds; the rectangle begins at s and ends at e. The third coordinate hi is the height of the rectangle. The output should be an ordered list of coordinates P = [(xo, 0), (xı, h.), (x2, h.) ... (x;, 0)]. A pair (x, hi) indicates that (horizontally) from xi to x-1, the height of the skyline will be hi; from x+1 to X2 the height will be h+1, and so on. Note that the first and last items in this list are both at ground level. Describe an efficient algorithm which computes the skyline of B. You may assume that all rectangles have distinct heights and that no two rectangles are exactly the same. %3D

Given a set of buildings, the skyline is the silhouetted shape formed by the highest boundaries of the buildings viewed from a distance. In this problem, we will compute the skyline of a set of buildings represented by rectangles. For an illustrative example, consider the set of rectangles in Figure 1 and their skyline. The input is a list B of rectangles in the format B = [(s, e, h.), (S2, e2, h:)... (Sa, en, h.)]. For each rectangle Bi E B, the first two coordinates s; and e, are the horizontal bounds; the rectangle begins at s and ends at e. The third coordinate hi is the height of the rectangle. The output should be an ordered list of coordinates P = [(xo, 0), (xı, h.), (x2, h.) ... (x;, 0)]. A pair (x, hi) indicates that (horizontally) from xi to x-1, the height of the skyline will be hi; from x+1 to X2 the height will be h+1, and so on. Note that the first and last items in this list are both at ground level. Describe an efficient algorithm which computes the skyline of B. You may assume that all rectangles have distinct heights and that no two rectangles are exactly the same. %3D

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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Given a set of buildings, the skyline is the silhouetted shape formed by the highest boundaries of the buildings viewed from a distance. In this problem, we will compute the skyline of a set of buildings represented by rectangles. For an illustrative example, consider the set of rectangles in Figure 1 and their skyline. The input is a list B of rectangles in the format B = [(s1, e1, h), (s2, e2, h:) . .. (Sn, en, ha)]. For each rectangle Bi E B, the first two coordinates s; and e; are the horizontal bounds; the rectangle begins at s, and ends at e. The third coordinate hi is the height of the rectangle. The output should be an ordered list of coordinates P = [(Xo, 0), (x1, hì), (x2, ha) ... (x;, 0)]. A pair (Xi, hi) indicates that (horizontally) from xi to x1, the height of the skyline will be hi; from x+1 to X+2 the height will be h1, and so on. Note that the first and last items in this list are both at ground level. Describe an efficient algorithm which computes the skyline of B. You may assume that all rectangles have distinct heights and that no two rectangles are exactly the same. •. li+1,
Transcribed Image Text:Given a set of buildings, the skyline is the silhouetted shape formed by the highest boundaries of the buildings viewed from a distance. In this problem, we will compute the skyline of a set of buildings represented by rectangles. For an illustrative example, consider the set of rectangles in Figure 1 and their skyline. The input is a list B of rectangles in the format B = [(s1, e1, h), (s2, e2, h:) . .. (Sn, en, ha)]. For each rectangle Bi E B, the first two coordinates s; and e; are the horizontal bounds; the rectangle begins at s, and ends at e. The third coordinate hi is the height of the rectangle. The output should be an ordered list of coordinates P = [(Xo, 0), (x1, hì), (x2, ha) ... (x;, 0)]. A pair (Xi, hi) indicates that (horizontally) from xi to x1, the height of the skyline will be hi; from x+1 to X+2 the height will be h1, and so on. Note that the first and last items in this list are both at ground level. Describe an efficient algorithm which computes the skyline of B. You may assume that all rectangles have distinct heights and that no two rectangles are exactly the same. •. li+1,
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