# Two moves mate

Logic Level 3

It is black turn, black can perform checkmate in two moves. What is the first move that black should do? Both players play optinally.

The first move can be written as $$P(x_{1} y_{1})-(x_{2}, y_{2})$$ where P is the piece that should be moved. $$(x_{1}, y_{1})$$ is the initial position of the piece and $$(x_{2}, y_{2})$$ is the position of the piece after move.
Evaluate $$val(P) \times (y_{1} + y_{2})$$

Details and Assumptions

• The coordinate system follows the one in the picture. $$a = 1, b = 2 , \ldots h = 8$$

• Both rooks from column a have not been moved.

• $$Val(P)$$ iss the value of the piece, following these:
$$Val(King) = 0$$
$$Val(Queen) = 9$$
$$Val(Rook) = 5$$
$$Val(Knight) = 3$$
$$Val(Bishop) = 3$$
$$Val(Pawn) = 1$$.

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