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Pandolfini's Puzzler #43 - Up the Down Staircase

  • NM brucepandolfini
  • | May 23, 2014
  • | 3888 views
  • | 36 comments

Professor: Hey, class. How’s it going?

Hale: Great!

Lucian: OK.

Ryan: Terrific!

Zephyr: It could be better.

Professor: Wow, such ups and downs. Listening to you is like being in an elevator.

elevator.jpg

Lucian: It beats going up and down stairs.

Zephyr: Now that you mention it, I saw the old Hitchcock film “Vertigo” the other night.

Hale: How vertiginous.

Ryan: Isn’t that the movie where the main character has trouble with high places and staircases?

stairs.jpeg

Zephyr: The music is so eerie.

Lucian: Oh yeah. I love that Led Zeppelin score.

Hale: What are you talking about?

Lucian: “Stairway to Heaven,” right?

Zephyr: Wrong.

Professor: Let’s get back to Earth. See if you can cope with the following position and its chessic kind of descending staircase.

Question 1: How can White force mate?

Professor: Here, all you have to do is avoid stalemate while getting the white king close enough to support mate.

It didn’t take long. All four members of the class actively participated. In no time, the group found a solution that produced mate in 11 moves, with the white king descending down the board.

Professor: That was nicely done. I like the way you worked as a team, step by step and downward.

step down.jpeg

Ryan: Can we see another one?

Professor: Sure. See if you can get both kings to dance down the staircase in our next problem.

Question 2: How can White force a win?

And so, the class once again did their analytic best. They solved the problem quickly, and pointed out the staircase maneuver.

Hale: How about another one?

Professor: Certainly. Here’s a problem that has more to do with ascent than descent.

Question 3: Can White force checkmate?

Lucian: I wonder where is this problem going?

Ryan: Maybe nowhere, like the stairs in a crazy painting by the Belgian surrealist and chess player René Magritte.

magritte.jpg

Professor: Well, let’s go somewhere in particular, especially to our next problem.

Question 4: Can White force a win?

So the analysis began, and the class remained relatively silent. The troupe commented only when it seemed helpful, which was unusual. Of course, the wunderkinder analyzed without moving the pieces. After 15 minutes, they had worked out the entire winning variation.

Professor: That was glorious. And because you’ve been so good, on and off the chessboard, I’m going to give you one more staircase problem. Not surprisingly, the descent is very controlling for one piece and very controlled for the other.

The solution didn’t take long to come across, and the class wound up laughing and giggling at the end.

Hale: That’s pretty funny.

Professor: And a good way to finish, going up and down the staircase, from one end to the other. Class dismissed.

Zephyr: Wait, I’ve just gotten a text message saying the elevator is out.

Ryan: So we’ll take the stairs.

escher.jpeg

Lucian: Let’s hope they weren’t designed by Magritte.

Answer below - Try to solve ProfessorPando's Puzzle first!

ANSWER #43

In problem 1, White wins by 1. Kb7!, which avoids the stalemate, allowing the black knight to move. Thereafter, a likely staircase line is 1…Ne3 2. Kb6+ Ng2 3. Kc6! (once again, avoiding stalemate) 3…Ne3 4. Kc5+ Ng2 5. Kd5 Ne3+ 6. Kd4+ Ng2 7. Ke4 Ne1 8. Ke3+ Ng2 9. Kf3 Nh4+ 10. Kf2+ Ng2 11. Bxg2 mate. Indeed, White’s amble down the board suggests the act of walking downstairs.



For diagram 2, the white king descends the staircase along with a partner: the black king. The main variation is 1. Rg2+ Kf8 (1…Kh7 loses immediately to 2. Rh2+ Qh5 3. Rxh5 mate) 2. Kg5+! (starting the descent) 2…Kg7 (following in the white king’s steps) 3. Kf4+ Kf6 (moving to the h-file once again runs into Rf1-h1+) 4. Kg3+ Kg5 5. Kf2+ Kf4 (again, the h-file is verboten) 6. Kg1+, and now Black’s king must move onto the e-file, allowing White a skewer check (Rf1-e1+), winning Black’s queen.

In diagram 3, White wins, not with a descending king move, but with an ascending queen move. The main variation is 1. Qc3! (the ascent begins) 1…Kb1 (threatening to promote the a-pawn) 2. Qd3+ Ka1 (threatening to promote the b-pawn) 3. Qd4Kb1 (continuing the staircase ascent) 4. Qe4+ Ka1 5. Qe5 Kb1 6. Qf5+ Ka1 7. Qf6 Kb1 8. Qg6+ Ka1 9. Qg7 Kb1 10. Qh7+ Ka1 11. Qh8! Kb1 12. Qh1 mate.

In the 4th problem, White’s queen descends before starting its ascent. The main line is 1. Qa1+. That’s the descent (from the ludicrous to the sublime?) Kh7 2. Qb1+ (a little sidle before beginning the ascent) 2…Kh8 3. Qb2+ Kh7 4. Qc2+ Kh8 5. Qc3+ Kh7 6. Qd3+ Kh8 7. Qd4+ Kh7 5. Qe4+ Kh8 6. Qe5+ Kh7 7. Qf5+ Kh8 8. Qf6+ Kh7 and 9. Nf8+, winning the black queen.


In example 5, the joke-fest begins with 1. 0-0-0!. That forces the black king to take the plunge, plummeting down the board into mate. The winning variation continues 1…Kxa7 2. Rd8! (first an ascent) Kxa6 (and now it’s almost entirely descent) 3. Rd7! Kxa5 4. Rd6 Kxa4 5. Rd5 Kxa3 6. Rd4 Kxa2 7. Rd3 Ka1 8. Ra3 mate!.



Take note

Walking the staircase” simply refers to any repetitive maneuver (or series of steps) that take a particular piece across the board, from one distant perimeter to another. Such an operation can be crucial to certain problems and studies.

The two pieces that rely on staircase movements the most are kings and queens, though there are ingenious problems that offer syncopated opportunities for other types of pieces to step so methodically as well.


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Comments


  • 5 months ago

    zyxwvutsrq

    [COMMENT DELETED]
  • 6 months ago

    NM brucepandolfini

    TheGoalkeeper Thank you! That column went over so well, I may even use the same problems next week. I'm hoping no one will notice. 

  • 6 months ago

    NM brucepandolfini

    goblin4563 I agree with you. I can't wait to get into that position again. 

  • 6 months ago

    NM brucepandolfini

    nragunat Thank you for your comment. It's helped me see things so much more clearly.

  • 6 months ago

    NM brucepandolfini

    Sith_Nazgul Thank you for joining the party. I would have joined it myself, but I lost the address and went to a different party. I have a feeling I missed something really good. 

  • 6 months ago

    NM brucepandolfini

    Unleash_the_Queens Thank you for the problem variations. Usually, such offerings give me a problem. They compel me to look at them. So I did. In fact, I found them amusing, along with the user exchanges that took place subsequently. Now, I think I need a drink, something even stronger than my Starbucks. Unfortunately, it's only 8am. Let's see how I'm feeling at lunch. As usual, thanks for adding wonderfully appreciatively to the proceedings.

  • 6 months ago

    NM brucepandolfini

    E1Chu2sov Thank you for your kind thoughts. They are much appreciated.

  • 6 months ago

    NM brucepandolfini

    Pladsen I don't know aout your crooked mind. In fact, from your intelligent comments in general, I'd say you have a very good mind. Thanks for your participation and for making the presentation so much more rewarding.

  • 6 months ago

    NM brucepandolfini

    Pladsen Sandy Dennis? Does she play chess? Maybe that explains it. Wait, I'm wrong. I was confusing it with "To Sir, With Chess," another terrific film. Ah yes, the Hogwart's staircase. I think of it often. The paintings on the wall really add to the ambience. By the way, all kidding aside (ah, do we have to), in 2012 "Vertigo" displaced "Citizen Kane" on the BFI list as the greatest film of all time. But what do they know about film? Smile, and thanks for sharing.

  • 6 months ago

    NM brucepandolfini

    CyriacAntony Yes, you're right. Thanks for sharing. I also agree about Wenman's gemish book. 

  • 6 months ago

    NM brucepandolfini

    Remellion Quite right. It has been cooked, though the cooking is, shall we say, less interesting. But thanks for pointing that out, as well as for sharing the Nadareishvili composition.

  • 6 months ago

    NM brucepandolfini

    chesspro73 Thank you. I'm going to tell the kids about your compliment once they come back from the playground.

  • 6 months ago

    NM brucepandolfini

    goblin4563 Oh, when I traced it, I actually went through the screen. I must have gone in the wrong direction.

  • 6 months ago

    NM brucepandolfini

    Sunnyboya I appreciate the nice word!

  • 6 months ago

    NM brucepandolfini

    ericlu2010 No, not really. Ideally!

  • 6 months ago

    NM brucepandolfini

    dennyhan  It was much worse for me. I had to walk on the real thing. 

  • 6 months ago

    TheGoalkeeper

    Cool staircase stratergy! Laughing

  • 6 months ago

    Remellion

    Nope, still busted even with the illegal pawn.

    1. Qc3 Kb1 2. Qd3+ Ka1 3. Qd4 Kb1 4. Qa4 a1=Q 5. Bc2#.

    The original problem is good, and more importantly it is sound. No need to tamper with it. It is way harder to make a sound problem than just adding pieces to deny alternate solutions.

  • 6 months ago

    Unleash_the_Queens

    I fixed my puzzle, although it looks a bit strange now:


  • 6 months ago

    gwchan

    goblin4563:

    "The best way for #2 was 1.Qd3+ b1=Q 2.Qxb1+ axb1=Q 3.e1=Q"

    the white pawns are going up the board

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