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The STL defines seven general container class templates: deque, vet tor, 1 is t, set, and mu1 timap A deque is a sequential structure that allows insertions and deletions at two ends A vector is a direct generalization of an ordinary array, allowing indexed access A list is a sequential structure that allows efficient insertions and deletions in the middle of the sequence A set is an unstructured collection of unique elements A multiset (also called a bag) is an unstructured collection of elements that need not be unique A map (also called a dictionary or table) is a set whose elements have two parts: the key and the data A multimap is the same as a map, except that the keys need not be unique.

12.48. State the equation of the locus of point 5 units from (a) the origin; (b) the circle x2 x2 y2 49. 12.49. What is the radius of the circle whose equation is (a) x2 (d) x

An ordinary telephone directory is a good example of a multimap, where the keys are the subscribers names and the data are their addresses and telephone numbers An inverted directory where the unique telephone numbers are the keys would be an example of a map Maps and multimaps can be regarded as sets and multisets, respectively, except that the elements have two components: a key field and a data field The key type must have an ordering, so string and double could be key types, but complex and set couldnot There are certain operations which one would like to apply to any container object: find the first element; find the last element; determine how many elements are in the container; insert an element; remove an element The STL defines these operations as member functions that work the same way on all containers They are summarized in Table 143.

16 9;

Here, a and b are container objects, -t is a value of the container s template type, n is a nonnegative integer, and p, i, and j are iterators on the container The STL is a tightly woven system of classes, iterators, and algorithms Its designers have been very successful in implementing the diverse behavior of container classes in a consistent and intuitive way This is indicated by the functions listed in Table 143 and Table 144..

(12.18)

map, mu1 tiset,

12.50. What is the equation of a circle whose center is the origin and whose radius is (a) 4; (b) 11; (c) 2; (d) 11; (e) 25; 3 2 (f) 1 23 (12.18) 3 12.51. Find the area of ^ABC, whose vertices are A(0, 0) and (a) B(0, 5) and C(4, 5) (b) B(0, 5) and C(4, 2) 12.52. Find the area of a (a) Triangle whose vertices are A(0, 0), B(3, 4), and C(8, 0) (b) Triangle whose vertices are D(1, 1), E(5, 6), and F(1, 7) (c) Rectangle three of whose vertices are H(2, 2), J(2, 6), and K(7, 2) (d) Parallelogram three of whose vertices are L(3, 1), M(9, 1), and P(5, 5) 12.53. Find the area of ^DEF, whose vertices are D(0, 0) and (a) E(6, 4) and F(8, 2); (b) E(3, 2) and F(6, 4); (c) E( 2, 3) and F(10, 7). (12.20) (c) B(0, 8) and C( 5, 8) (d) B(0, 8) and C( 5, 12) (e) B(6, 2) and C(7, 0) (f) B(6, 5) and C(10, 0) (12.19) (12.19)

a.insert(p, a.insert(p, a.insert(p, a.erase(i) a.erase(i, j = a.end() t = a.front() t = a.back() n = a.size() n = a.emptyO a.swap(b) j) i = a.begin() t) n, i, t) j) Inserts a copy of t before p Inserts n copies of t before p Copies a [i] . . .a[j-l] Removes a [ i ] Removes a[i]...a[j-l] Sets i so that a [ i ] is the first element Sets j so that a [ j - 11 is the last element Assigns the first element of a to t Assigns the last element of a to t Assigns the number of element of a to n Assigns 1 to n if a is empty; 0 otherwise Swaps the contents of a and b before p