1.Given 3 pigeons and 2 holes, please specify in propositional logic the following statements: (1) Each pigeon is in one hole and only in one hole; (2) No holes can hold more than one pigeon.

2.Given a 4 by 4 chessboard, please specify the 4-queen problem in propositional logic: (1) Each row or each column must have one queen; (2) No two queens can "see" each other.

Much thanks for the help!!!!!!!!