A group of n schoolboys decided to ride bikes. As nobody of them has a bike, the boys need to rent them.

The renting site offered them m bikes. The renting price is different for different bikes, renting the j-th bike costs p_j rubles.

In total, the boys' shared budget is a rubles. Besides, each of them has his own personal money, the i-th boy has b_i personal rubles. The shared budget can be spent on any schoolchildren arbitrarily, but each boy's personal money can be spent on renting only this boy's bike.

Each boy can rent at most one bike, one cannot give his bike to somebody else.

What maximum number of schoolboys will be able to ride bikes? What minimum sum of personal money will they have to spend in total to let as many schoolchildren ride bikes as possible?

The first line of the input contains three integers n, m and a (1 ≤ n, m ≤ 10⁵; 0 ≤ a ≤ 10⁹). The second line contains the sequence of integers b₁, b₂, ..., b_n (1 ≤ b_i ≤ 10⁴), where b_i is the amount of the i-th boy's personal money. The third line contains the sequence of integers p₁, p₂, ..., p_m (1 ≤ p_j ≤ 10⁹), where p_j is the price for renting the j-th bike.

Print two integers r and s, where r is the maximum number of schoolboys that can rent a bike and s is the minimum total personal money needed to rent r bikes. If the schoolchildren cannot rent any bikes, then r = s = 0.