B"An electrical grid in Berland palaces consists of 2 grids: main and reserve. Wires in palaces are made of expensive material, so selling some of them would be a good idea! Each grid (main and reserve) has a head node (its number is 1 ). Every other node gets electricity from the head node. Each node can be reached from the head node by a unique path. Also, both grids have exactly n nodes, which do not spread electricity further. In other words, every grid is a rooted directed tree on n leaves with a root in the node, which number is 1 . Each tree has independent enumeration and nodes from one grid are not connected with nodes of another grid. Also, the palace has n electrical devices. Each device is connected with one node of the main grid and with one node of the reserve grid. Devices connect only with nodes, from which electricity is not spread further (these nodes are the tree's leaves). Each grid's leaf is connected with exactly one device. It is guaranteed that the whole grid (two grids and n devices) can be shown in this way (like in the picture above): Formally, for each tree exists a depth-first search from the node with number 1 , that visits leaves in order of connection to devices 1, 2, ... , n (firstly, the node, that is connected to the device 1 , then the node, that is connected to the device 2 , etc.). Businessman wants to sell (remove) maximal amount of wires so that each device will be powered from at least one grid (main or reserve). In other words, for each device should exist at least one path to the head node (in the main grid or the reserve grid), which contains only nodes from one grid. The first line contains an integer n ( 1 <= n <= 1000 ) -- the number of devices in the palace. The next line contains an integer a ( 1 + n <= a <= 1000 + n ) -- the amount of nodes in the main grid. Next line contains a - 1 integers p_i ( 1 <= p_i <= a$$"...