There are three main operations on rectangles: intersection, union, and difference. Among them, only intersection is guaranteed to return another rectangle. In general, the union of two rectangles is... two rectangles, and the difference between two rectangles is ... a whole lot of rectangles, as we will see. We let you implement rectangle intersection. Of course, the intersection is defined only if the rectangles have the same number of dimensions. The intersection is computed by taking the intersection of the intervals of the two rectangles for corresponding dimensions. If one of the intervals is empty, you should return None. [] # @ title Rectangle intersection def rectangle_and(self, other): if self.ndims != other.ndims: raise TypeError("The rectangles have different dimensions: {} and {}".format( )) self.ndims, other.ndims ### YOUR SOLUTION HERE Rectangle. _and_ = rectangle_and [ ] r1 = Rectangle((2, 3), (0, 4)) r2 = Rectangle((0, 4), (1, 3)) draw rectangles (r1, r2) draw rectangles (r1 & 2) [] # Tests 10 points. r1 = Rectangle((12, 13), (0, 4)) r2 = Rectangle((0, 4), (1, 3)) assert r1 & r2 is None

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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There are three main operations on rectangles: intersection, union, and difference. Among them, only intersection is guaranteed to return
another rectangle. In general, the union of two rectangles is... two rectangles, and the difference between two rectangles is ... a whole lot of
rectangles, as we will see.
We let you implement rectangle intersection. Of course, the intersection is defined only if the rectangles have the same number of dimensions.
The intersection is computed by taking the intersection of the intervals of the two rectangles for corresponding dimensions. If one of the
intervals is empty, you should return None.
[] # @ title Rectangle intersection
def rectangle_and(self, other):
if self.ndims != other.ndims:
raise TypeError("The rectangles have different dimensions: {} and {}".format(
))
self.ndims, other.ndims
### YOUR SOLUTION HERE
Rectangle. _and_ = rectangle_and
[ ] r1 = Rectangle((2, 3), (0, 4))
r2 = Rectangle((0, 4), (1, 3))
draw rectangles (r1, r2)
draw rectangles (r1 & 2)
[] # Tests 10 points.
r1 = Rectangle((12, 13), (0, 4))
r2 = Rectangle((0, 4), (1, 3))
assert r1 & r2 is None
Transcribed Image Text:There are three main operations on rectangles: intersection, union, and difference. Among them, only intersection is guaranteed to return another rectangle. In general, the union of two rectangles is... two rectangles, and the difference between two rectangles is ... a whole lot of rectangles, as we will see. We let you implement rectangle intersection. Of course, the intersection is defined only if the rectangles have the same number of dimensions. The intersection is computed by taking the intersection of the intervals of the two rectangles for corresponding dimensions. If one of the intervals is empty, you should return None. [] # @ title Rectangle intersection def rectangle_and(self, other): if self.ndims != other.ndims: raise TypeError("The rectangles have different dimensions: {} and {}".format( )) self.ndims, other.ndims ### YOUR SOLUTION HERE Rectangle. _and_ = rectangle_and [ ] r1 = Rectangle((2, 3), (0, 4)) r2 = Rectangle((0, 4), (1, 3)) draw rectangles (r1, r2) draw rectangles (r1 & 2) [] # Tests 10 points. r1 = Rectangle((12, 13), (0, 4)) r2 = Rectangle((0, 4), (1, 3)) assert r1 & r2 is None
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