The famous ACM (Advanced Computer Maker) Company has
rented a floor of a building whose shape is in the following figure.
The floor
has 200 rooms each on the north side and south side along the corridor. Recently
the Company made a plan to reform its system. The reform includes moving a lot
of tables between rooms. Because the corridor is narrow and all the tables are
big, only one table can pass through the corridor. Some plan is needed to make
the moving efficient. The manager figured out the following plan: Moving a table
from a room to another room can be done within 10 minutes. When moving a table
from room i to room j, the part of the corridor between the front of room i and
the front of room j is used. So, during each 10 minutes, several moving between
two rooms not sharing the same part of the corridor will be done simultaneously.
To make it clear the manager illustrated the possible cases and impossible cases
of simultaneous moving.
For each
room, at most one table will be either moved in or moved out. Now, the manager
seeks out a method to minimize the time to move all the tables. Your job is to
write a program to solve the manager’s problem.