public class Dice
{
    public Dice()
    {
    }

    public Dice(int[] values)
    {
        for (int i : values)
            add(i);
    }

    public int getCount(int die)
    {
        assert 1 <= die && die <= 6;
        return counts[die - 1];
    }

    public void add(int die)
    {
        assert 1 <= die && die <= 6;
        counts[die - 1]++;
    }

    public void addAll(Dice other)
    {
        for (int i = 0; i < 6; i++)
        {
            counts[i] += other.counts[i];
        }
    }

    public boolean remove(int die)
    {
        if (getCount(die) > 0)
        {
            counts[die - 1]--;
            return true;
        }
        else
            return false;
    }

    public void removeAll(Dice other)
    {
        for (int i = 0; i < 6; i++)
        {
            counts[i] = Math.max(0, counts[i] - other.counts[i]);
        }
    }
    
    public boolean contains(Dice other)
    {
        for (int i = 0; i < 6; i++)
        {
            if (counts[i] < - other.counts[i]) return false;
        }
        return true;
    }

    public void empty()
    {
        for (int i = 0; i < 6; i++)
        {
            counts[i] = 0;
        }
    }

    public int size()
    {
        int result = 0;
        for (int i = 1; i <= 6; i++)
            result += getCount(i);
        return result;
    }

    public String toString()
    {
        String result = "";
        for (int i = 1; i <= 6; i++)
            for (int j = 1; j <= getCount(i); j++)
                result += i;
        return result;
    }

    private int[] counts = new int[6];
}