#pragma once

#include "clusters.hpp"

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;
}