Answers.Body: <p>57 Queens:</p>
  
  <pre><code>[FEN "QQQQQB1k/QQQQQ1bq/QQQQQQKB/QQQQQQQQ/QQQQQQQQ/QQQQQQQQ/QQQQQQQQ/QQQQQQQQ b - - 0 1"]
  </code></pre>
  
  <p>(edited FEN, White to move).<br>
  (2edited, thanks <a href="https://chess.stackexchange.com/users/8860/noam-d-elkies">Noam D. Elkies</a>)</p>
  
Answers.ContentLicense: CC BY-SA 4.0
Answers.CreationDate: 2020-06-05T10:46:29.500Z
Answers.Text: It is not clear in the OP, but I imagine the side with the queens was supposed to be on the move ?
Answers.UserDisplayName: Evargalo
Answers.ContentLicense: CC BY-SA 4.0
Answers.CreationDate: 2020-06-05T10:48:04.397Z
Answers.Text: @Evargalo Then imagine White King on b3 to start.  Kc2 is the only legal move.
Answers.UserDisplayName: Andrew Chin
Answers.ContentLicense: CC BY-SA 4.0
Answers.CreationDate: 2020-06-05T10:49:18.753Z
Answers.Text: Sure, this solution is valid then.
Answers.UserDisplayName: Evargalo
Answers.ContentLicense: CC BY-SA 4.0
Answers.CreationDate: 2020-06-05T12:02:39.363Z
Answers.Text: If white has the move then change a3 to a queen
Answers.UserDisplayName: IKnowNothing
Answers.ContentLicense: CC BY-SA 4.0
Answers.CreationDate: 2020-06-05T18:15:58.920Z
Answers.Text: If you swap the Ba3 with a knight, you can put another queen in b3 and white still has a legal move.
Answers.UserDisplayName: Federico Poloni
Answers.ContentLicense: CC BY-SA 4.0
Answers.CreationDate: 2020-06-05T18:17:32.257Z
Answers.Text: @FedericoPoloni yes, and White has a forced win, which is what we need to avoid.
Answers.UserDisplayName: Andrew Chin
Answers.ContentLicense: CC BY-SA 4.0
Answers.CreationDate: 2020-06-05T18:40:25.040Z
Answers.Text: @AndrewChin Does it? What if white just moves the knight back and forth while black takes all the pieces? Or maybe I don't understand what you mean with "forced win".
Answers.UserDisplayName: Federico Poloni
Answers.ContentLicense: CC BY-SA 4.0
Answers.CreationDate: 2020-06-06T17:29:37.400Z
Answers.Text: I think you can squeeze one more Queen out of this nice setup by changing the Ba2 to a *Black* Queen for a total of 57.
Answers.UserDisplayName: Noam D. Elkies
Answers.ContentLicense: CC BY-SA 4.0
Answers.CreationDate: 2020-06-06T19:14:26.323Z
Answers.Text: Whoa, you're right!  The question didn't say Queens of only one colour!
Answers.UserDisplayName: Andrew Chin
Answers.ContentLicense: CC BY-SA 4.0
Answers.CreationDate: 2020-06-05T10:14:55.590Z
Answers.LastActivityDate: 2020-06-06T19:15:40.220Z
Answers.LastEditDate: 2020-06-06T19:15:40.220Z
Answers.UserDisplayName: Andrew Chin
Body: <p>I was wondering how many queens can be put on boards without the position being a forced checkmate or a forced stalemate. The best I came up with is 53 this position.</p>
  <pre><code>[FEN &quot;QQQQQRK1/QQQQQPr1/QQQQQRNk/QQQQQQpB/QQQQQQQQ/QQQQQQQQ/QQQQQQQQ/QQQQQQQQ w - - 0 1&quot;]
  </code></pre>
  <p>Is there a way to fit 54 or more queens, given the constraints)? And if not, how would one show that more queens cannot be placed?</p>
  
Tags: <checkmate><problems><stalemate><queens>
Title: How many queens can be on the board without neither forced mate nor forced stalemate (53?)?
ThreadText: # How many queens can be on the board without neither forced mate nor forced stalemate (53?)?
  
  (Asked by: username_0 on 2020-06-05)
  
  I was wondering how many queens can be put on boards without the position being a forced checkmate or a forced stalemate. The best I came up with is 53 this position.
  [FEN "QQQQQRK1/QQQQQPr1/QQQQQRNk/QQQQQQpB/QQQQQQQQ/QQQQQQQQ/QQQQQQQQ/QQQQQQQQ w - - 0 1"]
  
  Is there a way to fit 54 or more queens, given the constraints)? And if not, how would one show that more queens cannot be placed?
  
  **Tags:** checkmate, problems, stalemate, queens
  
  
  ---
  
  ## 1 answers
  
  ### Answer by username_1 on 2020-06-05. Score: 10 | Accepted answer
  
  57 Queens:
  [FEN "QQQQQB1k/QQQQQ1bq/QQQQQQKB/QQQQQQQQ/QQQQQQQQ/QQQQQQQQ/QQQQQQQQ/QQQQQQQQ b - - 0 1"]
  
  (edited FEN, White to move).
  (2edited, thanks username_5)
  
  > **Comments:**
  > **username_2**: It is not clear in the OP, but I imagine the side with the queens was supposed to be on the move ?  
  > **username_1**: @username_2 Then imagine White King on b3 to start.  Kc2 is the only legal move.  
  > **username_2**: Sure, this solution is valid then.  
  > **username_3**: If white has the move then change a3 to a queen  
  > **username_4**: If you swap the Ba3 with a knight, you can put another queen in b3 and white still has a legal move.  
  > **username_1**: @FedericoPoloni yes, and White has a forced win, which is what we need to avoid.  
  > **username_4**: @AndrewChin Does it? What if white just moves the knight back and forth while black takes all the pieces? Or maybe I don't understand what you mean with "forced win".  
  > **username_5**: I think you can squeeze one more Queen out of this nice setup by changing the Ba2 to a *Black* Queen for a total of 57.  
  > **username_1**: Whoa, you're right!  The question didn't say Queens of only one colour!  
  
  ---
  
  