#pragma once

#include "clusters.hpp"
#include <deque>

template <typename Field>
struct Solution {
	std::deque<typename Field::Position> taps;
};

template <typename Field>
auto solve_impl(Field const & field, Solution<Field> & s){
	for(auto&& p : field.all_positions()){
		if(!field.empty(p)) goto analyse;
	}
	return true;

	analyse:
	for(auto&& c : all_clusters(field)){
		if(c.size() < 3) continue;
		auto new_field = make_empty(field, c);
		if(solve_impl(new_field, s)) {
			s.taps.push_front(*c.begin());
			return true;
		}
	}
	return false;
}

template <typename Field>
auto solve(Field const & field){
	Solution<Field> s;
	solve_impl(field, s);
	return s;
}