c++ - all combinations of k elements out of n -
can provide me link or pseudocode of function finding combinations of k elements out of n? possibly in stl. don't need compute n choose k, need list vectors of numbers of size k.
thanks
in c++ given following routine:
template <typename iterator> inline bool next_combination(const iterator first, iterator k, const iterator last) { /* credits: thomas draper */ if ((first == last) || (first == k) || (last == k)) return false; iterator itr1 = first; iterator itr2 = last; ++itr1; if (last == itr1) return false; itr1 = last; --itr1; itr1 = k; --itr2; while (first != itr1) { if (*--itr1 < *itr2) { iterator j = k; while (!(*itr1 < *j)) ++j; std::iter_swap(itr1,j); ++itr1; ++j; itr2 = k; std::rotate(itr1,j,last); while (last != j) { ++j; ++itr2; } std::rotate(k,itr2,last); return true; } } std::rotate(first,k,last); return false; }
you can proceed following:
// 9-choose-3 std::string s = "123456789"; std::size_t k = 3; { std::cout << std::string(s.begin(),s.begin() + k) << std::endl; } while(next_combination(s.begin(),s.begin() + k,s.end()));
or std::vector of int's:
// 5-choose-3 std::size_t n = 5; std::size_t k = 3; std::vector<int> ints; (int = 0; < n; ints.push_back(i++)); { (int = 0; < k; ++i) { std::cout << ints[i]; } std::cout << "\n"; } while(next_combination(ints.begin(),ints.begin() + k,ints.end()));
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