Give precise formulations for each of the following as constraint satisfaction problems: a. Rectilinear floor-planning: find non-overlapping places in a large rectangle for a number of smaller rectangles. b. Class scheduling: There is a fixed number of professors and classrooms, a list of classes to be offered, and a list of possible time slots for classes. Each professor has a set of classes that he or she can teach. c. Hamiltonian tour: given a network of cities connected by roads, choose an order to visit all cities in a country without repeating any.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Give precise formulations for each of the following as constraint satisfaction problems:
a. Rectilinear floor-planning: find non-overlapping places in a large rectangle for a number
of smaller rectangles.
b. Class scheduling: There is a fixed number of professors and classrooms, a list of classes
to be offered, and a list of possible time slots for classes. Each professor has a set of
classes that he or she can teach.
c. Hamiltonian tour: given a network of cities connected by roads, choose an order to visit
all cities in a country without repeating any.

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