Chess Composition

Logic Level 3

In the position below, how can White give checkmate in two moves?

The target square of the first move can be represented as a coordinate ( x , y ) (x,y) , where the bottom left corner square is at ( 1 , 1 ) (1,1) . Input the product of x x and y y as your answer.


The answer is 20.

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9 solutions

Vishnu Bhagyanath
Feb 12, 2016

Re4 gives the king only one legal move, to take the rook. Followed by Bc6, mate.

All other moves lead to either stale mate or allow the king to escape off in two moves.

This is a poorly worded problem.

Kenneth Nichols - 5 years, 3 months ago

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Bad question

Omer Reznik - 3 years, 1 month ago

How about white king to (2, 1) followed by black king to (2,3) and took to (4,3)

Jnana Rao - 5 years, 3 months ago

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That's Absolutely Right and that's what I replied. I suppose his all problems are poorly scripted.

Ramendra Thakur - 5 years, 3 months ago

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Sorry that's wrong. King moves back to (3,4)

Jnana Rao - 5 years, 3 months ago

Why can't the king just move back to where it initially was?

Mourad Frishkopf - 5 years, 3 months ago

Right? That's exactly what my first thought was.

E La - 3 years ago

I think you've got your coordinates wrong since there's no way white can move to (2,1) or black to (2,3) in one move. Do you mean white king to (3,2), black king to (3,4), and white rook (5,4)? If that's the case, black can escape simply by moving back to the square it started on.

Joel Shircliff - 2 years, 5 months ago

King forward 1 is check mate in 1 move, no?

Viktor Nilsson - 5 years, 3 months ago

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@Viktor Nilsson You're not delivering a check, thus it's a stalemate.

Jaleb Jay - 5 years, 3 months ago

No, it would be a stalemate since the other king has to move too. I didn't see this until after I answered.

Nawal Cheema - 5 years, 2 months ago

That ain't checkmate. It's Stalemate. Nobody wins.

Carlito Dean Rivera - 5 years, 3 months ago

That's a draw

Santi GL - 5 years, 3 months ago

How do we write(present) our answer?

Anwesha Maharana - 5 years, 3 months ago

rook (4,1) to (4,4) and then bishop (6,3) to (5,4)

Bruno Fernandes Leandro - 5 years, 3 months ago

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that wont be check mate

Subrat Kumar Mallick - 5 years, 3 months ago

Black king first moves to (2,3) (Only legal move) . After bishop to (4,5) king simply captures pawn on (1,3)

Vishnu Bhagyanath - 5 years, 3 months ago

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That is wrong it is not 12 it is rook to 4,4 so the answer is 16 which is 4 * 4 or target square...

Ralston Rhoden - 5 years, 3 months ago

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@Ralston Rhoden Vishnu used standard chess notation. His correctly suggested move is to move the rook to (4,3) and so 4x3 = 12

Reginald Micu - 5 years, 3 months ago

@Ralston Rhoden Sorry, what? Could you explain what the original reply was trying to say? There is no bishop on (6,3) so I assumed he meant (3,6) and (4,5)

I'll use normal chess notation as this is confusing.

  1. Re5 Kc4
  2. Be6 Kxb4

Is this what he meant? Since this isn't checkmate.

Vishnu Bhagyanath - 5 years, 3 months ago

But the black king can escape just going diagonally and staying together with the white king, and it will be a tie!

Ricardo Dias - 5 years, 3 months ago

May I ask what is a target square? I know what will happen but the answer is 12. I entered 16 since the rook must be moved to (4,4), entered 4 since the rook was the one to be moved, and entered 6 because the king was forced to move to (2,3). Why is the answer 12?

Rindell Mabunga - 5 years, 3 months ago

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Rook to (4,3) than bishop to (2,5) and its over

Pedro Soares - 5 years, 3 months ago

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Why is the answer 12 then?

drez tech - 5 years, 2 months ago

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@Drez Tech The target square of the first move is (4,3). Since the problem calls for multiplying those digits, 4x3 = 12

Reginald Micu - 5 years, 2 months ago

Rook to (4,3)

Vishnu Bhagyanath - 5 years, 3 months ago

King to d2 which gives the black king one possible move. Then rook to e5, checkmate

Gabe Castelli - 5 years ago

The whole things can be over in 1 move

Jacob Sussmilch - 5 years, 3 months ago

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Not possible, the fastest checkmate here is a mate in 2

Vishnu Bhagyanath - 5 years, 3 months ago

I thought moving white King to (3, 2) would be checkmate since the the Kings arent allowed to move within 1 block of each other therefore giving the black king only limited options of movement and from what I see, the available spots it can move to are all in the paths of the opposing pieces. Which mean this game end in one move. Is that not correct?

Chao Xiong - 5 years, 3 months ago

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It's a stalemate, not a checkmate.

Vishnu Bhagyanath - 5 years, 3 months ago

Why can't bishop go straight to 1, 4 and let it be checkmate?

Finn C - 5 years, 1 month ago

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because that is not a checkmate. it's a stalemate if the opposing king can't make a valid move and isn't under check. in your case, the black king isn't under check.

Reginald Micu - 5 years, 1 month ago

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Oh ya... didn't look at the most obvious thing :)

Finn C - 5 years, 1 month ago

This is seriously flawed you are all wrong! After Bc6 , king can simply take on f4 (K*f4)

Eli Louise - 4 years, 10 months ago

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g3 behind that

Engr Islam - 3 years, 8 months ago

Both bishop A4 and king B3 work.

Anonymous Zang - 4 years ago

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I meant king C2

Anonymous Zang - 4 years ago

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Those are both wrong. After the black king moves to c4, rook e4 is not checkmate as the black king can move to d5.

Aaron Gu - 6 months, 2 weeks ago

Don't we have to assume that black is playing optimally? White Rook to G2 (or H2), followed by Black King to E4 could easily be checkmated by moving the White Bishop to C6.

Dan Ley - 4 years ago

That is impossible. The king cannot legally take the rook. There is a pawn protecting the rook.

Serban Zaha - 2 years, 4 months ago

Re4 move is nice, but its just a waste of time to calculate, why give black a free slot if he already have only one (C4). Using AN (columns a-h rows 1-8, K-king R-Rook #mate) 1.Kc2 Kc4* 2.Re4# *only legal move No need to sacrifice any piece

Mahmoud Qassem - 3 months, 3 weeks ago

Kc2 leaves Black King's only move to be c4. Then Re4 mate.

Paul Freda - 5 years, 3 months ago

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not yet mate because the black king can still go back to d5

Reginald Micu - 5 years, 3 months ago

Why cant i just move the king to (2,3)?

Rodrigo Livianu - 5 years, 3 months ago

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In that position black king will have no squares to move, this situation is called stalemate that is counted as a draw and not a win for white.

Surodeep Sheth - 5 years, 3 months ago

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hmm, thanks

Rodrigo Livianu - 5 years, 3 months ago

Qween from (3,1)to (2,1) Black only move from (3,4)to(3,3) Then R from (4,1) to(4,3) Checkmate

Saad Eltamawy - 5 years, 3 months ago

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black king can't move on 3,3 because hose give check

Thakur Nikhil Singh - 5 years, 3 months ago

I presume you meant King. But as I explained to Paul Freda below who has the same solution as you, it is not checkmate as the Black King can still move back to (3,4)

Reginald Micu - 5 years, 3 months ago

actually its the black king from (3,4) to (2,3) otherwise everything is correct :)

Subrat Kumar Mallick - 5 years, 3 months ago

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No it's wrong as black is not yet checkmated. See my explanation above and below. Vishnu Bhagyanath's solution is the only answer that meets the mate in 2 requirement.

Reginald Micu - 5 years, 3 months ago

I can checkmate in 1 move. Just move the white king to (2,3) Black king will have no legal moves

prazwal goel - 5 years, 3 months ago

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As mentioned to the various other comments, it's stalemate, not checkmate.

Vishnu Bhagyanath - 5 years, 3 months ago

Take the rook, elephant to 4,4.Checkmate in one move

Prateek Verma - 5 years, 2 months ago

Challenging but poorly worded Question, I figured out the answer which is White- Kc2, Black- Kc4 White Re4, I felt really pissed off. Why cant you use the standard convention or try to explain how to enter the answer or is that also part of the problem figuring out how to give input ? LOLS

Jose Mathew - 5 years, 3 months ago

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But your answer is wrong. The black king can still go back to d5.

Reginald Micu - 5 years, 3 months ago

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Thank you, yes you are right ? So any body figured out the answer so far ?

Jose Mathew - 5 years, 3 months ago

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@Jose Mathew Vishnu posted the right answer although he used Chess notation. Sacrifice the rook by moving it to to (4,3). The black king has no other move but to capture it. White bishop then moves to (2,5), checkmate.

Reginald Micu - 5 years, 3 months ago

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@Reginald Micu Thanks, I was not allowed to say just thanks so please excuse :)

Jose Mathew - 5 years, 3 months ago

@Reginald Micu Correct..thanks

Ashok Annepu - 5 years, 2 months ago

What about Ba4 Kc4 Re4 Checkmate? It appears as if there is more than one solution. (0,3) (2,3) (5,3), Answer with this solution is 0.

I have been corrected. This solution is not valid.

Gregory McMullen - 5 years, 2 months ago

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that is not mate. Kd5 is still a viable move for black after Re4.

Reginald Micu - 5 years, 2 months ago
Chao Chen
Jun 11, 2016
  1. Re4! forces black to take the rook and cuts off c4 as an escape square. Then Bc6 is mate.

This is seriously flawed,Your solution is wrong after Bc6 king can simply take the pawn on f4

Eli Louise - 4 years, 10 months ago

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Note that you cannot move the King into check. King to f4 results in check by the pawn in g3.

I have marked this report as resolved.

Calvin Lin Staff - 4 years, 9 months ago

king move to (4,3) it's done

Jack Dazz - 4 years, 10 months ago

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I think that would force it to a draw as there are no legal moves for the black king then. Doesn't make it check mate.

Gustaf Carstam - 2 years, 8 months ago

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HE DOES HAVE A LEGAL MOVE

Joachim Vingaard - 2 years, 4 months ago

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@Joachim Vingaard The black king clearly has no moves after the white king moves to d3. Look carefully. In the initial position, the black king's only legal escape square was c4. After the white king moves to d3, the black king cannot escape to c4 anymore as the white king now controls that square. The black king has no other legal moves now; thus it is stalemate, or a draw.

Aaron Gu - 6 months, 2 weeks ago
Marty Winn
Sep 20, 2017
  • White Knight from (6,5) to (5,7). Check
  • Black King must go from (4,5) to (3,4).
  • White Rook from (5,2) to (5,4) Checkmate.
  • 5*4=20

What if after N(5,7) , K(4,6)

Poonam Singh - 3 years, 1 month ago

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that is exactly why this "Input the product of x and y as your answer." should have not made it past the moderators. A correct answer after a bad approach is not a good solution.

Stacy Story - 2 years, 10 months ago

even considering your move, K(2,3) is safe

Poonam Singh - 3 years, 1 month ago

You better not play chess

Poonam Singh - 3 years, 1 month ago

1: Kc2, Kc4 2: Re4#

Mick Schilder - 2 years, 11 months ago

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Mick, your black king may move back to d5. He is not check mate in your play.

Gustaf Carstam - 2 years, 8 months ago

Marty, after you move your Knight why is black king forced to go to c4? both d4 and d6 are no longer guarded by the knight and possible ways for the black king to break out.

Gustaf Carstam - 2 years, 8 months ago
Akshay Gokhale
Feb 29, 2016

The Solution is first move Rook to 4,3. Black king takes rook as this is only viable move in this case for black. (Though there is no check, he has to move somewhere.) The last and pin down move is white bishop to (2,5) and that is check mate in two steps. The answer i.e. product of x,y which represents the first move ( not the second please note) is 12

An alternative: rook to e5 (4,4), king is forced to go to c3 (2,2), and then bishop to e6 (4,5) is mate.

So 20 should also be a valid answer.

Ilan Horn - 4 years, 10 months ago

Sorry, king goes to c4 not c3, bishop goes to e6

Ilan Horn - 4 years, 10 months ago

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If Re5-Kc4 then Be6 doesn't give checkmate as Black has Kxb4. The pawn is isolated and can be taken by the King.

Philip Anderegg - 3 years, 4 months ago

i dont know proper chess terminology but why not move king one to the left then castle up 3

Daniel Turon - 3 years, 6 months ago
Akash Singh
Apr 5, 2016

It asks the target square of the first move but the answer it shows is the target square of second move mating move rook (4,1) to rook (4,3).... Please correct it

It will be stalemate

oka buana - 4 years, 11 months ago

You have to move the rook right away. You don't have time to do anything else. Moving the king up creates stalemate.

Brandon Dahl - 4 years, 2 months ago
Timothy Zhou
Feb 28, 2016

In the initial position, Black threatens to escape the mating net with 1... Kc4. This must be prevented at all costs. With that in mind, it is not too hard to find 1. Re4! forcing 1... Kxe4 2. Bc6 mate

The only answer is Re4, King only move is to take rook, then Bc6 checkmate. If coordinates are 0,0 for x,y the answer should be 4x5=20 not 12

Luis Pérez Melgar - 4 years, 10 months ago
Long Pham
Nov 21, 2020

The solution is incredibly unexpected:)) I have spent 20 minutes to solved it.

Boris Wolfsoul
Dec 20, 2018

I will use the algebraic notation in chess where

  • the columns are marked from a to h in alphabetical order left to right
  • the rows are labeled from 1 to 8 from the botom, where the white start, to the top, where the black start
  • "x" mean capture and # mean checmate
  • R mean Rook, K mean King, B mean Bishop.
  • the numbers before each play are the number of the movement. Left is the white movent and right the black movement.

1.Re4 Kxe4 2.Bc6#.

After 1.Re4 the king is forced to capture the rook because there isn't any moving left. That movement of the rook is the unique who give no chance to the black to scape or stealmate (no movement left for the black, then the game is over and every player get half of point... a bad end for the white, best for the black)

Chris White
Mar 17, 2016

Was difficult until i realized I had to sac my trusty rook QQ. No other method forced the king in checkmate sigh

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