C++/STL Algorithms Sorting/nth element

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Finding the Median

<source lang="cpp">

  1. include <algorithm>
  2. include <vector>
  3. include <iostream>

using namespace std; template <class T> void print(T& c){

  for( typename T::iterator i = c.begin(); i != c.end(); i++ ){
     std::cout << *i << endl;
  }

} int main( ) {

  const int len = 9;
  const int a[len] = { 5, 6, 4, 3,2, 6, 7, 9, 3 };
  vector<int> v( a, a+len );
  print( v );
  // midpoint is the median
  nth_element( v.begin(), v.begin()+len/2,v.end() );
  print( v );
  cout << "\nMedian     salary: " << v[len/2];
  // display sorted v for clarity
  sort( v.begin(), v.end() );
  print( v  );

}


 </source>


Illustrating the generic nth_element algorithm

<source lang="cpp">

  1. include <iostream>
  2. include <cassert>
  3. include <algorithm>
  4. include <vector>

using namespace std; int main() {

 vector<int> v(7);
 v[0] = 25; 
 v[1] = 7; 
 v[2] = 9;
 v[3] = 2; 
 v[4] = 0; 
 v[5] = 5; 
 v[6] = 21;
 const int N = 4;
 // Use nth_element to place the Nth smallest 
 // element in v in the Nth position, v.begin() + N:
 nth_element(v.begin(), v.begin() + N, v.end());
 
 for (int i = 0; i < N; ++i)
   assert (v[N] >= v[i]);
 
 for (int i = N + 1; i < 7; ++i)
    cout << v[N];
 return 0;

} /* 99

*/
       
   
 </source>


Use nth_element to extract the four highest elements

<source lang="cpp">


/* The following code example is taken from the book

* "The C++ Standard Library - A Tutorial and Reference"
* by Nicolai M. Josuttis, Addison-Wesley, 1999
*
* (C) Copyright Nicolai M. Josuttis 1999.
* Permission to copy, use, modify, sell and distribute this software
* is granted provided this copyright notice appears in all copies.
* This software is provided "as is" without express or implied
* warranty, and with no claim as to its suitability for any purpose.
*/
  1. include <iostream>
  2. include <vector>
  3. include <deque>
  4. include <list>
  5. include <set>
  6. include <map>
  7. include <string>
  8. include <algorithm>
  9. include <iterator>
  10. include <functional>
  11. include <numeric>

/* PRINT_ELEMENTS()

* - prints optional C-string optcstr followed by
* - all elements of the collection coll
* - separated by spaces
*/

template <class T> inline void PRINT_ELEMENTS (const T& coll, const char* optcstr="") {

   typename T::const_iterator pos;
   std::cout << optcstr;
   for (pos=coll.begin(); pos!=coll.end(); ++pos) {
       std::cout << *pos << " ";
   }
   std::cout << std::endl;

} /* INSERT_ELEMENTS (collection, first, last)

* - fill values from first to last into the collection
* - NOTE: NO half-open range
*/

template <class T> inline void INSERT_ELEMENTS (T& coll, int first, int last) {

   for (int i=first; i<=last; ++i) {
       coll.insert(coll.end(),i);
   }

} using namespace std; int main() {

   deque<int> coll;
   INSERT_ELEMENTS(coll,3,7);
   INSERT_ELEMENTS(coll,2,6);
   INSERT_ELEMENTS(coll,1,5);
   PRINT_ELEMENTS(coll);
   // extract the four highest elements
   nth_element (coll.begin(),     // beginning of range
                coll.end()-4,     // element that should be sorted correctly
                coll.end());      // end of range
   // print them
   cout << "the four highest elements are: ";
   copy (coll.end()-4, coll.end(),
         ostream_iterator<int>(cout," "));
   cout << endl;

} /* 3 4 5 6 7 2 3 4 5 6 1 2 3 4 5 the four highest elements are: 5 6 7 6

*/        
   
 </source>


Use nth_element to extract the four lowest elements

<source lang="cpp">


/* The following code example is taken from the book

* "The C++ Standard Library - A Tutorial and Reference"
* by Nicolai M. Josuttis, Addison-Wesley, 1999
*
* (C) Copyright Nicolai M. Josuttis 1999.
* Permission to copy, use, modify, sell and distribute this software
* is granted provided this copyright notice appears in all copies.
* This software is provided "as is" without express or implied
* warranty, and with no claim as to its suitability for any purpose.
*/
  1. include <iostream>
  2. include <vector>
  3. include <deque>
  4. include <list>
  5. include <set>
  6. include <map>
  7. include <string>
  8. include <algorithm>
  9. include <iterator>
  10. include <functional>
  11. include <numeric>

/* PRINT_ELEMENTS()

* - prints optional C-string optcstr followed by
* - all elements of the collection coll
* - separated by spaces
*/

template <class T> inline void PRINT_ELEMENTS (const T& coll, const char* optcstr="") {

   typename T::const_iterator pos;
   std::cout << optcstr;
   for (pos=coll.begin(); pos!=coll.end(); ++pos) {
       std::cout << *pos << " ";
   }
   std::cout << std::endl;

} /* INSERT_ELEMENTS (collection, first, last)

* - fill values from first to last into the collection
* - NOTE: NO half-open range
*/

template <class T> inline void INSERT_ELEMENTS (T& coll, int first, int last) {

   for (int i=first; i<=last; ++i) {
       coll.insert(coll.end(),i);
   }

} using namespace std; int main() {

   deque<int> coll;
   INSERT_ELEMENTS(coll,3,7);
   INSERT_ELEMENTS(coll,2,6);
   INSERT_ELEMENTS(coll,1,5);
   PRINT_ELEMENTS(coll);
   // extract the four lowest elements
   nth_element (coll.begin(),     // beginning of range
                coll.begin()+3,   // element that should be sorted correctly
                coll.end());      // end of range
   // print them
   cout << "the four lowest elements are:  ";
   copy (coll.begin(), coll.begin()+4,
         ostream_iterator<int>(cout," "));
   cout << endl;

}

/* 

3 4 5 6 7 2 3 4 5 6 1 2 3 4 5 the four lowest elements are: 2 1 2 3

*/       
   
 </source>


Use nth_element with custom function to extract the four highest elements

<source lang="cpp">


/* The following code example is taken from the book

* "The C++ Standard Library - A Tutorial and Reference"
* by Nicolai M. Josuttis, Addison-Wesley, 1999
*
* (C) Copyright Nicolai M. Josuttis 1999.
* Permission to copy, use, modify, sell and distribute this software
* is granted provided this copyright notice appears in all copies.
* This software is provided "as is" without express or implied
* warranty, and with no claim as to its suitability for any purpose.
*/
  1. include <iostream>
  2. include <vector>
  3. include <deque>
  4. include <list>
  5. include <set>
  6. include <map>
  7. include <string>
  8. include <algorithm>
  9. include <iterator>
  10. include <functional>
  11. include <numeric>

/* PRINT_ELEMENTS()

* - prints optional C-string optcstr followed by
* - all elements of the collection coll
* - separated by spaces
*/

template <class T> inline void PRINT_ELEMENTS (const T& coll, const char* optcstr="") {

   typename T::const_iterator pos;
   std::cout << optcstr;
   for (pos=coll.begin(); pos!=coll.end(); ++pos) {
       std::cout << *pos << " ";
   }
   std::cout << std::endl;

} /* INSERT_ELEMENTS (collection, first, last)

* - fill values from first to last into the collection
* - NOTE: NO half-open range
*/

template <class T> inline void INSERT_ELEMENTS (T& coll, int first, int last) {

   for (int i=first; i<=last; ++i) {
       coll.insert(coll.end(),i);
   }

} using namespace std; int main() {

   deque<int> coll;
   INSERT_ELEMENTS(coll,3,7);
   INSERT_ELEMENTS(coll,2,6);
   INSERT_ELEMENTS(coll,1,5);
   PRINT_ELEMENTS(coll);
   // extract the four highest elements (second version)
   nth_element (coll.begin(),     // beginning of range
                coll.begin()+3,   // element that should be sorted correctly
                coll.end(),       // end of range
                greater<int>());  // sorting criterion
   // print them
   cout << "the four highest elements are: ";
   copy (coll.begin(), coll.begin()+4,
         ostream_iterator<int>(cout," "));
   cout << endl;

}

/* 

3 4 5 6 7 2 3 4 5 6 1 2 3 4 5 the four highest elements are: 6 7 6 5

*/       
   
 </source>