Variadic-templates class constructor

I wrote the following code to create a class with the construct that takes as arguments a variable number (N) of integer plus two double as follow:

#include <cstdio>
#include <cstdlib>

#include <vector>
#include <array>

template <std::size_t N>
class point_t {

public:

  std::vector<int> values;

  template<typename ... Args>
  point_t(Args ... args, double distance, double value) {

    std::array<int , N> list = {(args)...};

    for(std::size_t i=0; i<N; ++i) values[i] = list[i];

  }

};


int main(int argc, char *argv[]) {

  point_t<4> test(1, 2, 3, 4, 3.0, 6.7);

  return 0;

}

The compiler return the following error:

No matching constructor for initialization of 'point_t<4>'
Candidate constructor not viable: requires 2 arguments, but 6 were provided

What I'm missing?