C++/STL Algorithms Sorting/nth element

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Finding the Median

  
#include <algorithm>
#include <vector>
#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  );
}


Illustrating the generic nth_element algorithm

  
 
#include <iostream>
#include <cassert>
#include <algorithm>
#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
 */


Use nth_element to extract the four highest elements

  
 
    
/* 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.
 */
#include <iostream>
#include <vector>
#include <deque>
#include <list>
#include <set>
#include <map>
#include <string>
#include <algorithm>
#include <iterator>
#include <functional>
#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
 */


Use nth_element to extract the four lowest elements

  
 
    
/* 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.
 */
#include <iostream>
#include <vector>
#include <deque>
#include <list>
#include <set>
#include <map>
#include <string>
#include <algorithm>
#include <iterator>
#include <functional>
#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
 */


Use nth_element with custom function to extract the four highest elements

  
 
    
/* 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.
 */
#include <iostream>
#include <vector>
#include <deque>
#include <list>
#include <set>
#include <map>
#include <string>
#include <algorithm>
#include <iterator>
#include <functional>
#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
 */