sclass ProbabilisticMachine2<A extends ProbabilisticMachine2.State> {
  transient TreeSetWithDuplicates<A> states = new(byProbability());
  transient TreeSetWithDuplicates<A> steppableStates = new(byProbability());
  transient TreeSetWithDuplicates<A> droppedStates = new(byProbability());
  transient int stateCount;

  bool verbose;
  double cutoffPercentage = 50;
  
  Comparator<A> byProbability() { ret (a, b) -> cmp(b.probability, a.probability); }
  
  abstract sclass State {
    ProbabilisticMachine machine;
    int stateNumber;
    State previousState;
    double probability = 100;
    
    abstract State emptyClone();
    
    // override me unless it's a terminal state
    void step {}
    
    toString {
      ret toStringWithFields(this, "stateNumber", "probability");
    }
  
    State prepareClone() {
      State s = emptyClone();
      copyFields(this, s, 'machine, 'probability);
      s.previousState = this;
      ret s;
    }
  }
  
  void addState(A s) {
    if (verbose) print("Adding state to machine " + this + ": " + s);
    s.machine = this;
    if (s.stateNumber == 0) s.stateNumber = ++stateCount;
    if (s.probability < cutoffPercentage) ret with droppedStates.add(s);
    addToCollections(s, states, steppableStates);
    //if (s.done()) doneStates.add(s);
    if (verbose) printStats();
  }
  
  bool stepFirstUnstepped() {
    A s = popFirst(steppableStates), ret false if null;
    ret true with s.step();
  }

  void reset {
    clearAll(/*doneStates,*/ states, steppableStates, droppedStates);
    stateCount = 0;
  }

  void think {
    while ping (stepFirstUnstepped()) {}
  }

  void printStats() {
    print("States: " + stats(states) /*+ ", done: " + stats(doneStates)*/ + ", steppable: " + stats(steppableStates) + ", dropped: " + stats(droppedStates));
  }
  
  S stats(TreeSetWithDuplicates<A> ts) {
    ret l(ts) + (empty(ts) ? "" : " (best: " + iround(first(ts).probability) + ")");
  }
}