#pragma once

#include "clusters.hpp"

template <typename Field, typename Container>
auto make_empty(Field field, Container const & c){
	using namespace std;
	for(auto&& p : c){
		field.get(p) = 0;
	}
	field.collapse();
	return field;
}

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

	analyse:
	for(auto&& c : all_clusters(field)){
		if(c.size() < 2) continue;
		auto new_field = make_empty(field, c);
		if(solve(new_field)) return true;
	}
	return false;
}