The ICM ACPC World Finals is coming! Unfortunately, the organizers of the competition were so busy preparing tasks that totally missed an important technical point — the organization of electricity supplement for all the participants workstations. There are n computers for participants, the i -th of which has power equal to positive integer p i . At the same time there are m sockets available, the j -th of which has power euqal to positive integer s j . It is possible to connect the i -th computer to the j -th socket if and only if their powers are the same: p i = s j . It is allowed to connect no more than one computer to one socket. Thus, if the powers of all computers and sockets are distinct, then no computer can be connected to any of the sockets. In order to fix the situation professor Puch Williams urgently ordered a wagon of adapters — power splitters. Each adapter has one plug and one socket with a voltage divider between them. After plugging an adapter to a socket with power x , the power on the adapter's socket becomes equal to , it means that it is equal to the socket's power divided by two with rounding up, for example and . Each adapter can be used only once. It is possible to connect several adapters in a chain plugging the first to a socket. For example, if two adapters are plugged one after enother to a socket with power 10 , it becomes possible to connect one computer with power 3 to this socket. The organizers should install adapters so that it will be possible to supply with electricity the maximum number of computers c at the same time. If there are several possible connection configurations, they want to find the one that uses the minimum number of adapters u to connect c computers. Help organizers calculate the maximum number of connected computers c and the minimum number of adapters u needed for this. The wagon of adapters contains enough of them to do the task. It is guaranteed that it's possible to connect at least one computer.