private static ArrayList<int[]> runBack(int [] state) {
        int[] finalState = {state[2], state[3], 0, 0, 0};
        int m,c;
        ArrayList<int []> transitions = new ArrayList<>();
        transitions.add(state);
        ArrayList<Integer> saven = new ArrayList<>();
        ArrayList<Integer> savem = new ArrayList<>();

        while(!Arrays.equals(finalState,state) && transitions.size()>=1)
        {
            for(m=0; m <= state[4]; m++)
                for(c=m+1; c<=state[4]-m; c++) {
                    if(nextState(transitions.get(transitions.size()-1), m, c)!=null)
                    {
                        transitions.add(nextState(transitions.get(transitions.size()-1),m,c));
                        saven.add(m);
                        savem.add(c);
                    }
                    if(Arrays.equals(finalState,transitions.get(transitions.size()-1))==true)
                        return transitions;
                }
            transitions.remove(transitions.size()-1);
        }
        return null;
    }