Answers.Body: <p>Are you asking whether all Queen's Quadrille and Hippodrome problems are solvable? They are not. There is a discussion on the Hippodrome page which you link to. Here is an example of a starting position which is valid both for Queen's Quadrille and for Hippodrome, and where no moves are available:</p>
  <pre><code>        5bbQ/4BRrB/4krRK/4NNnn/8/8/8/8 w - - 0 1
  </code></pre>
  <p>Perhaps you could consider a version of Hippodrome where the player gets to choose which of the 12 non-knight pieces is removed. Then it seems more plausible that all positions are solvable.</p>
  
Answers.ContentLicense: CC BY-SA 4.0
Answers.CreationDate: 2022-10-28T13:21:03.577Z
Answers.LastActivityDate: 2022-10-28T13:21:03.577Z
Answers.UserDisplayName: James Martin
Body: <p>I found two chess puzzles on <a href="https://www.chessvariants.com" rel="nofollow noreferrer">chessvariants.com</a>, <a href="https://www.chessvariants.com/solitaire.dir/quadrille.html" rel="nofollow noreferrer">Queens's Quadrille</a> and <a href="https://www.chessvariants.com/solitaire.dir/hippodrome.html" rel="nofollow noreferrer">Hippodrome</a>.</p>
  <p>I'm thinking of creating <strong>random</strong> Queen's Quadrille and Hippodrome puzzles with a computer program.</p>
  <p>My question is can I always be sure that a randomly generated Queen's Quadrille or Hippodrome puzzle is solvable?</p>
  <p>Should I additionally check if it is solvable after generating a random puzzle?</p>
  
Tags: <chess-variants><puzzles>
Title: Are randomly created Queen's Quadrille and Hippodrome puzzles always solvable?
ThreadText: # Are randomly created Queen's Quadrille and Hippodrome puzzles always solvable?
  
  (Asked by: username_0 on 2022-10-28)
  
  I found two chess puzzles on [chessvariants.com](https://www.chessvariants.com), [Queens's Quadrille](https://www.chessvariants.com/solitaire.dir/quadrille.html) and [Hippodrome](https://www.chessvariants.com/solitaire.dir/hippodrome.html).
  
  I'm thinking of creating **random** Queen's Quadrille and Hippodrome puzzles with a computer program.
  
  My question is can I always be sure that a randomly generated Queen's Quadrille or Hippodrome puzzle is solvable?
  
  Should I additionally check if it is solvable after generating a random puzzle?
  
  **Tags:** chess-variants, puzzles
  
  
  ---
  
  ## 1 answers
  
  ### Answer by username_1 on 2022-10-28. Score: 1 | Accepted answer
  
  Are you asking whether all Queen's Quadrille and Hippodrome problems are solvable? They are not. There is a discussion on the Hippodrome page which you link to. Here is an example of a starting position which is valid both for Queen's Quadrille and for Hippodrome, and where no moves are available:
          5bbQ/4BRrB/4krRK/4NNnn/8/8/8/8 w - - 0 1
  
  Perhaps you could consider a version of Hippodrome where the player gets to choose which of the 12 non-knight pieces is removed. Then it seems more plausible that all positions are solvable.
  
  
  ---
  
  