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ComputingStlAlgorithmsMin Max


Permutes the order of the elements
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Key Facts

Gyroscopic Couple: The rate of change of angular momentum (\tau) = I\omega\Omega (In the limit).
  • I = Moment of Inertia.
  • \omega = Angular velocity
  • \Omega = Angular velocity of precession.

Blaise Pascal (1623-1662) was a French mathematician, physicist, inventor, writer and Catholic philosopher.

Leonhard Euler (1707-1783) was a pioneering Swiss mathematician and physicist.


The next_permutation() algorithm is defined in the standard header <algorithm> and in the nonstandard backward-compatibility header <algo.h>.


#include <algorithm>
template < class BidirectionalIterator >
   bool next_permutation(
      BidirectionalIterator first, 
      BidirectionalIterator last
template < class BidirectionalIterator, class BinaryPredicate >
   bool next_permutation(
      BidirectionalIterator first, 
      BidirectionalIterator last,
      BinaryPredicate comp

Parameter Description
first A bidirectional iterator pointing to the position of the first element in the range to be permuted
last A bidirectional iterator pointing to the position one past the final element in the range to be permuted
comp User-defined predicate function object that defines the comparison criterion to be satisfied by successive elements in the ordering. A binary predicate takes two arguments and returns true when satisfied and false when not satisfied


Next_permutation function reorders the range [first, last) into the next permutation from the set of all permutations that are lexicographically ordered.

The first version uses operator< for comparison and the second uses the function object comp.

Return Value

Returns true if there was a next permutation and has replaced the original ordering of the range,false otherwise.


The complexity is linear; performs at most (last - first) / 2 swaps.
Example - next_permutation algorithm
The following example of code prints all three permutations of the string "aba" using next_permutation function.
#include <algorithm>
#include <string>
#include <iostream>
int main()
    std::string s = "aba";
    std::sort(s.begin(), s.end());
    do {
        std::cout << s << '\n';
    } while(std::next_permutation(s.begin(), s.end()));
  return 0;