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# hw2-answers - Homework#2 Chapters 3 and 5 1[15 pts 1 h(n =...

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1 Homework #2: Chapters 3 and 5 1. [15 pts.] Vaslui Urziceni Iasi Bucharest Pitesti Giurgiu Fagaras 1 4 5 6 7 h(n) = 302 h(n) = 298 h(n) = 385 h(n) = 162 h(n) = 272 h(n) = 0 h(n) = 345 2 Neamt h(n) = 237 3 Hirsova h(n) = 253 Sibiu h(n) = 96

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2 2. [15 pts.] Vaslui Urziceni Iasi Bucharest Pitesti Giurgiu 1 4 5 f(n) = 142+302=444 f(n)=92+298 =390 f(n) = 240+385 =625 f(n) = 328+162 = 490 f(n) = 317+272 =589 f(n) = 0 +345 = 345 2 Neamt f(n) = 179+237 = 416 3 Hirsova f(n) = 227+253 = 480 f(n) = 505+0 = 0 Sibiu 8 6 Rimnicu Vilcea Craiova f(n) = 425+78 = 503 f(n) = 466+196 =662 f(n) = 571+196 =767 Craiova 7 Fagaras f(n) = 438+96 =534 This Craiova has a higher f(n) than the other one on the frontier, so it is not added.
3 3. [20 pts.] 1 - This node could be expanded anytime after 1 or not at all. 2 -Must be after 1 or not at all 2 4 3 1 5 7 8 6 2 4 3 1 8 5 7 6 2 3 1 4 5 7 8 6 2 4 3 1 5 7 8 6 2 4 3 1 5 7 8 6 f(n)=6 g(n)=0 h(n)=6 f(n)=8 g(n)=1 h(n)=7 f(n)=6 g(n)=1 h(n)=5 f(n)=8 g(n)=1 h(n)=7 f(n)=6

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hw2-answers - Homework#2 Chapters 3 and 5 1[15 pts 1 h(n =...

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