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hwk10 - m is the number of edges Problem 2 The Rectangle...

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Fall 2011 CMSC 351: Homework 10 Clyde Kruskal Due at the start of class Wednesday, November 30, 2011. Problem 1. Assume that G = ( V,E ) is a weighted graph where each edge has nonnegative integer weight. Let c be the maximum weight of any edge in the graph. Show how to modify dijkstra’s algorithm to solve the single source shortest paths problem in time O ( m + nc ) (where n is the number of vertices and
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Unformatted text preview: m is the number of edges). Problem 2. The Rectangle Packing Problem RPP is given a set of n small rectangles of sizes a i × b i (where 1 ≤ i ≤ n ) and a large A × B rectangle, can the large rectangle be packed with a subset of the small rectangles so that there is no empty space? Assume all values are integers. Show that RPP is in NP ....
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