
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Java
![= Challenge
Cartesian Product
Programming challenge description:
The Cartesian product of two lists of
numbers A and B is defined to be the set
of all points (a,b) where a belongs in A and
b belongs in B. It is usually denoted as
AxB and is called the Cartesian product
since it originated in Descartes' formulation
of analytic geometry.
Given two sets of real numbers, their
Cartesian product comes in form of
ordered pairs. e.g.
19
20
21
22
23
A =
[1, 2, 3]
B =
[4, 5]
Cartesian product is
C = [(1, 4), (1, 5), (2,4), (2.5), (3,
RL
Ne pas in
EL](https://content.bartleby.com/qna-images/question/298d9fb3-2c12-4d12-a549-bbc8cb245a18/1fb52276-5ffd-4c8c-a2d2-978404820f77/8udmk3a_thumbnail.jpeg)
Transcribed Image Text:= Challenge
Cartesian Product
Programming challenge description:
The Cartesian product of two lists of
numbers A and B is defined to be the set
of all points (a,b) where a belongs in A and
b belongs in B. It is usually denoted as
AxB and is called the Cartesian product
since it originated in Descartes' formulation
of analytic geometry.
Given two sets of real numbers, their
Cartesian product comes in form of
ordered pairs. e.g.
19
20
21
22
23
A =
[1, 2, 3]
B =
[4, 5]
Cartesian product is
C = [(1, 4), (1, 5), (2,4), (2.5), (3,
RL
Ne pas in
EL
![Cartesian product is
C = [(1, 4), (1, 5), (2,4), (2.5), (3,
4), (3,5)]
Now given a coordinate tuple (i,j)
where i indicates A[i] and j indicates
B[j], with A, B known, implement a
function that returns the index of a
1.
member in Cartesian product C according
to (i,j)
18
19
For example:
26
21
coordinate (1, e)
22
return index: 2
23
coordinate (2, 1)
return index: 5
The time complexity of this algorithm
should be o(1)
CARDE:Ne p
Rur
ICE](https://content.bartleby.com/qna-images/question/298d9fb3-2c12-4d12-a549-bbc8cb245a18/1fb52276-5ffd-4c8c-a2d2-978404820f77/nhasth_thumbnail.jpeg)
Transcribed Image Text:Cartesian product is
C = [(1, 4), (1, 5), (2,4), (2.5), (3,
4), (3,5)]
Now given a coordinate tuple (i,j)
where i indicates A[i] and j indicates
B[j], with A, B known, implement a
function that returns the index of a
1.
member in Cartesian product C according
to (i,j)
18
19
For example:
26
21
coordinate (1, e)
22
return index: 2
23
coordinate (2, 1)
return index: 5
The time complexity of this algorithm
should be o(1)
CARDE:Ne p
Rur
ICE
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