Papa#3140

Papa

3 seconds
64 megabytes
Medium

While cleaning your parents' attic, you discovered a box containing many documents describing the relationships among your ancestors. Given these documents, you are interested in answering a number of questions about the relationships implied by the documents. Fortunately, all your ancestors have unique names, so it is possible to make many inferences without any confusion.

It is assumed that all relationships (implied or given) satisfy the following:

The information provided will be consistent, and you may assume there are no hidden relationships that are not explicitly stated or implied by the above rules of consistency.

Input

The first part of the input consists of a number of lines describing the known relationships. Each relationship is listed on one line in the form:

NAME is NAME's RELATIONSHIP.

where NAME is a lowercase alphabetic word (never 'is'), and RELATIONSHIP is one of

  • wife

  • husband

  • daughter

  • son

  • mother

  • father

This first part is terminated by a blank line. You may assume that there is at least one known relationship given, and there are at most distinct names mentioned in the known relationships.

This is followed by a list of questions (one per line) of the form:

is NAME NAME's RELATIONSHIP?

where NAME is as before, but RELATIONSHIP is one of

  • wife

  • husband

  • daughter

  • son

  • mother

  • father

  • niece: X is a niece of Y if there are W and Z such that X is a daughter of W, and W and Y are distinct children of Z.

  • nephew: X is a nephew of Y if there are W and Z such that X is a son of W, and W and Y are distinct children of Z.

  • grandfather: X is a grandfather of Y if there is Z such that X is a father of Z, and Z is the father or mother of Y.

  • grandmother: X is a grandmother of Y if there is Z such that X is a mother of Z, and Z is the father or mother of Y.

  • grandson: X is a grandson of Y if there is Z such that X is a son of Z, and Z is a child of Y.

  • granddaughter: X is a granddaughter of Y if there is Z such that X is a daughter of Z, and Z is a child of Y.

All names appearing in the questions will be mentioned in the list of known relationships. The list of questions is terminated by the end of file.

Output

For each question, print on a line yes or no if the answer to the question can be determined, or unknown if the answer may be yes or no because the sex of the relevant person(s) in the question cannot be determined from the known relationships.

Examples

Example 1

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