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 ) P(x_{1} y_{1})-(x_{2}, y_{2}) where P is the piece that should be moved. ( x 1 , y 1 ) (x_{1}, y_{1}) is the initial position of the piece and ( x 2 , y 2 ) (x_{2}, y_{2}) is the position of the piece after move.
Evaluate v a l ( P ) × ( y 1 + y 2 ) val(P) \times (y_{1} + y_{2})

Details and Assumptions

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

  • Both rooks from column a have not been moved.

  • V a l ( P ) Val(P) iss the value of the piece, following these:
    V a l ( K i n g ) = 0 Val(King) = 0
    V a l ( Q u e e n ) = 9 Val(Queen) = 9
    V a l ( R o o k ) = 5 Val(Rook) = 5
    V a l ( K n i g h t ) = 3 Val(Knight) = 3
    V a l ( B i s h o p ) = 3 Val(Bishop) = 3
    V a l ( P a w n ) = 1 Val(Pawn) = 1 .
Picture source: Screenshot from Dr.Chess application.


The answer is 27.

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Sie Evan Setiawan by Sie Evan Setiawan , 23, Indonesia

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1 solution

Two scenarios :
First :
1. ... Qf2+
2. Kh3 Bf1#


Second :
1: ... Qf2+
2. Kh5 Qh3#

Both the mates started by moving the queen from f 1 f1 to f 2 f2
y 1 = 1 y_{1} = 1
y 2 = 2 y_{2} = 2
v a l ( P ) = 9 val(P) = 9
v a l ( P ) × ( y 1 + y 2 ) = 9 ( 1 + 2 ) = 27 val(P) \times (y_{1}+y_{2}) = 9(1+2) = 27

The notations I used are standard chess notations.
+ = Check
# = Mate

2 Helpful 0 Interesting 0 Brilliant 1 Confused

Qf2+ followed by Qh3#, edit the second scenario, queen just did a move she cannot make

Ajinkya Shivashankar - 4 years, 7 months ago

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