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. 

Input

The input consists of T test cases. The number of test cases ) (T is given in the first line of the input file. 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 3 + N -rd 

line, the remaining test cases are listed in the same manner as above. 

Output

The output should contain the minimum time in minutes to complete the moving, one per line. 

Sample Input

3 4 10 20 30 40 50 60 70 80 2 1 3 2 200 3 10 100 20 80 30 50

Sample Output

102030  一道思维题，主要思路是不要拘泥于路径和搬运的顺序（我一开始就是过分关于与顺序，打算用map映射来一步一步的做，发现太过麻烦吐血放弃！）。思考后，其实可以用一个vectoe或者array把每一次路过的地方记录并加起来。 　　坑：注意40>>30 30>>40这两种方向也是要考虑的。

#include
       
        #include
        
         #include
         
          using namespace std;int main(){    int n;    cin>>n;    for (int i = 0; i < n; ++i)    {        int k;        cin>>k;        vector
          
            v(205,0);        for (int j= 0; j < k; ++j)        {            int a,b,t;            cin>>a>>b;            if(a>b) {t=a;a=b;b=t;}            for(int l=(a-1)/2;l<=(b-1)/2;l++)            {                v[l]++;            }        }        sort(v.begin(),v.end());        cout<
           
            <