Problem 1: Formulating Constraints Consider the following logic puzzle (adapted from the Zebra…

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Problem 1: Formulating Constraints Consider the following logic puzzle (adapted from the Zebra…

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Problem 1: Formulating Constraints Consider the following logic puzzle (adapted from the Zebra puzzle; see e.g., https://en.wikipedia org/wiki/Zebra Puzzle): There are five houses in a row, each of a different color, and inhabited by women of different nation alities. The owner of each house owns a different pet, serves different drinks, and plays a different sport from the other owners. We also know: The woman from Englandi The woman from Spain owns a dog ves in the red house Coffee is drunk in the green house The woman from Ukraine drinks tea . The green house is immediately to the right of

Problem 1: Formulating Constraints Consider the following logic puzzle (adapted from the Zebra puzzle; see e.g., https://en.wikipedia org/wiki/Zebra Puzzle): There are five houses in a row, each of a different color, and inhabited by women of different nation alities. The owner of each house owns a different pet, serves different drinks, and plays a different sport from the other owners. We also know: The woman from Englandi The woman from Spain owns a dog ves in the red house Coffee is drunk in the green house The woman from Ukraine drinks tea . The green house is immediately to the right of the white house The tennis player owns the flying squirrel . Soccer is played in the yellow house Milk is drunk in the middle house The woman from Norway lives in the first house on the left The swimmer lives next to the chinchilla owner The vellow house is next to the horse owner . The runner drinks orange juice The woman from Japan does skiing The woman from Norway lives next to the blue house The queries are, “Who drinks water?”, and “Who owns the zebra?”. (Note: You do not need to answer these questions for this homework problem.) Formulate the word problem as a constraint network: (a) Describe the variables, their domains, and the constraints. (b) Draw the primal constraint graph associated with the network. cBriefly describe another (different) representation of this problem as a CSP. Why might we prefer one representation over another?

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