Overview
The STL algorithms usually overwrite elements of the range passed to them as parameters. Instead, sometimes it's useful to append new elements to the range. back_insert_iterator is designed exactly to do it.
Details
A back-insert_iterator is a special output iterator which can be  generated from the container that supports push_back() operation. such as standard containers vector, deque and list.
Syntax
The syntax is as below. Template parameter Container represents the container that is updated. 
template < class Container >class back_insert_iterator;
Members
 It defines following types.
| member type | definition | 
|---|---|
| conainer_type | Container | 
| iterator_category | output_iterator_tag | 
| value_type | void | 
| difference_type | void | 
| pointer | void | 
| reference | void | 
Operation
An back_insert_iterator supports three operators *, ++ and =. 
The assignment operator, used both during dereferencing or directly, causes the container to expand by one element. For example, both *i = x and i=x adds a new element.
Dereferencing operator does nothing.
Both pre and post Increments the back_insert_iterator does nothing.
This can be clearly seen in the example below. 
vector<int> v{1,2,3,4}; back_insert_iterator<vector<int> > backiter ( v );//v:{1,2,3,4,6} *backiter = 6;//v:{1,2,3,4,6,7} backiter = 7;
Functionality
Constructors
| Name | Description | 
|---|---|
| back_insert_iterator(Container& c) | Initializes the underlying pointer to the container to addressof(c). Example: vector<int> v{1, 2, 3, 4, 5}; back_insert_iterator<vector<int>> backiter (v);  | 
Overloaded operators
| Name | Example | 
|---|---|
| reference operator* () | No Operation. | 
  | No Operation.  | 
| pointer operator=() | Appends a new element Example: vector<int> v{1,2,3,4}; back_insert_iterator<vector<int> > backiter ( v );//v:{1,2,3,4,6} *backiter = 6;  | 
back_inserter
An utility function to create a back_insert_iterator from a container that supports push_back() method such as vector, deque, list.
Syntax
The syntax is as below. Template parameter Container represents the container for which 
back_inserter_iterator is created. Container represents must support push_back() function as in vector, deque and list.
template < class Container >back_insert_iterator<Container > back_inserter( Container& c );
The following example shows its usage.
vector<int> v{1,2,3,4}, v2; //same as //for_each(begin(v),end(v),[&v2](int i){v2.push_back(i);}); //v2:{1,2,3,4} copy (v.begin(),v.end(),back_inserter(v2));

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