Sarah is a girl who likes reading books.
One day, she wondered about the relationship of a family in a mystery novel. The story said,
Then she asked herself, gSo how many degrees of kinship are there between A and C?h
There are two possible relationships between B and C, that is, C is either Bfs fatherfs sister or Bfs motherfs sister in the story. If C is Bfs fatherfs sister, C is in the third degree of kinship to A (Afs fatherfs sister). On the other hand, if C is Bfs motherfs sister, C is in the fifth degree of kinship to A (Afs fatherfs brotherfs wifefs sister).
You are a friend of Sarahfs and good at programming. You can help her by writing a general program to calculate the maximum and minimum degrees of kinship between A and C under given relationship.
The relationship of A and C is represented by a sequence of the following basic relations: father, mother, son, daughter, husband, wife, brother, sister, grandfather, grandmother, grandson, granddaughter, uncle, aunt, nephew, and niece. Here are some descriptions about these relations:
In this problem, you can assume there are none of the following relations in the family: adoptions, marriages between relatives (i.e. the family tree has no cycles), divorces, remarriages, bigamous marriages and same-sex marriages.
The degree of kinship is defined as follows:
The input contains multiple datasets. The first line consists of a positive integer that indicates the number of datasets.
Each dataset is given by one line in the following format:
C is A(fs relation)*
Here, relation is one of the following:
father, mother, son, daughter, husband, wife, brother, sister, grandfather, grandmother, grandson, granddaughter, uncle, aunt, nephew, niece.
An asterisk denotes zero or more occurance of portion surrounded by the parentheses. The number of relations in each dataset is at most ten.
For each dataset, print a line containing the maximum and minimum degrees of kinship separated by exact one space. No extra characters are allowed of the output.
7 C is Afs fatherfs brotherfs sonfs aunt C is Afs motherfs brotherfs sonfs aunt C is Afs sonfs motherfs motherfs son C is Afs auntfs niecefs auntfs niece C is Afs fatherfs sonfs brother C is Afs sonfs sonfs mother C is A
5 3 5 1 2 2 6 0 2 0 1 1 0 0