Implement the following function that returns a vector of vectors of Item, each of which is a subset of elements chosen from the given vector a[first…last]: /* if a is {1,2,3}, first=0, last=2, the function shall returns a vector of the following vectors: {}, {1}, {2}, {3}, {1,2},{1,3}, {2,3},{1,2,3}, all subsets of a[0…2]. Precondition: last-first+1>=1, i.e., there is at least one element in the a[first…last] Note 1)if the length of a[first…last] is n, then the function should return a vector of 2n vectors 2) The order of these subsets does not need to match what’s listed here… */ vector> subsets (const vector & a, int first, int last) code

Implement the following function that returns a vector of vectors of Item, each of which is a subset of elements chosen from the given vector a[first…last]: /* if a is {1,2,3}, first=0, last=2, the function shall returns a vector of the following vectors: {}, {1}, {2}, {3}, {1,2},{1,3}, {2,3},{1,2,3}, all subsets of a[0…2]. Precondition: last-first+1>=1, i.e., there is at least one element in the a[first…last] Note 1)if the length of a[first…last] is n, then the function should return a vector of 2n vectors 2) The order of these subsets does not need to match what’s listed here… */ vector> subsets (const vector & a, int first, int last) code

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter7: Arrays

Section7.6: The Standard Template Library (stl)

Problem 8E

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Concept explainers

Array

The simplest way to start thinking about an array is as a collection, or a set of elements. In programming, these elements may be constants, variables, functions and pointers.

Question

Implement the following function that returns a vector of vectors of Item, each of which is a subset of elements chosen from the given vector a[first…last]:

/* if a is {1,2,3}, first=0, last=2, the function shall returns a vector of the following vectors:

{}, {1}, {2}, {3}, {1,2},{1,3}, {2,3},{1,2,3}, all subsets of a[0…2].

Precondition: last-first+1>=1, i.e., there is at least one element in the a[first…last]

Note 1)if the length of a[first…last] is n, then the function should return a vector of 2ⁿ vectors

2) The order of these subsets does not need to match what’s listed here…

vector<vector<int>> subsets (const vector<int> & a, int first, int last)

code

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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