Time Limit: Java: 2000 ms / Others: 2000 ms

Memory Limit: Java: 65536 KB / Others: 65536 KB

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.

The input consists of T test cases. The number of test cases ) (T is given in
the first line of the input. Each test case begins with a line containing
an integer N , 1<=N<=200 , that represents the number of tables to move.
Each of the following N lines contains two positive integers s and t, representing
that a table is to move from room number s to room number t (each room number
appears at most once in the N lines). From the N+3-rd line, the remaining test
cases are listed in the same manner as above.

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