#### 451. Cousin's Aunt

Time limit per test: 1 second(s)
Memory limit: 262144 kilobytes
input: standard
output: standard

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,
• B is A's father's brother's son, and
• C is B's aunt.
Then she asked herself, "So how many degrees of kinship are there between A and C?"

There are two possible relationships between B and C, that is, C is either B's father's sister or B's mother's sister in the story. If C is B's father's sister, C is in the third degree of kinship to A (A's father's sister). On the other hand, if C is B's mother's sister, C is in the fifth degree of kinship to A (A's father's brother's wife's sister).

You are a friend of Sarah's 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:
• X's brother is equivalent to X's father's or mother's son not identical to X.
• X's grandfather is equivalent to X's father's or mother's father.
• X's grandson is equivalent to X's son's or daughter's son.
• X's uncle is equivalent to X's father's or mother's brother.
• X's nephew is equivalent to X's brother's or sister's son.
• Similar rules apply to sister, grandmother, granddaughter, aunt and niece.

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 distance from X to X's father, X's mother, X's son or X's daughter is one.
• The distance from X to X's husband or X's wife is zero.
• The degree of kinship between X and Y is equal to the shortest distance from X to Y deduced from the above rules.

Input
The input is given by one line in the following format:

`C is A`
(
`'s`
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 is at most ten.

Output
Print a line containing the maximum and minimum degrees of kinship separated by space.

Example(s)
 `sample input` `sample output` ```C is A's father's brother's son's aunt ``` ```5 3 ```

 `sample input` `sample output` ```C is A's mother's brother's son's aunt ``` ```5 1 ```

 `sample input` `sample output` ```C is A's son's mother's mother's son ``` ```2 2 ```

 `sample input` `sample output` ```C is A's aunt's niece's aunt's niece ``` ```6 0 ```

 `sample input` `sample output` ```C is A's father's son's brother ``` ```2 0 ```

 `sample input` `sample output` ```C is A's son's son's mother ``` ```1 1 ```

 `sample input` `sample output` ```C is A ``` ```0 0 ```