# Checkmate Puzzle [closed]

I had a chess position today, in which my last position had 5 possible moves to checkmate. This seemed like a lot to me, and I immediately thought of the puzzle: Which position would yield the maximum number of ways to checkmate the opponent on the next move?

The rules of my made up puzzle are thus

1. Exactly 1 King per side
2. Any amount of any other kinds of pieces are allowed for either side
3. "Score" for the position is the number of winning moves there are

I came up with the following position. By my count, this has 70 total winning moves. I wonder what the maximum would be?

Follow up puzzles which occurred to me:

1. What's the fewest number of pieces for which every legal move would be checkmate?
• Pawns aren't allowed
• Exactly 1 King per side
• White to move. All black pieces are counted in the answer
• Alternate rule: you can only have one kind of piece, so there's a unique answer for each kind of piece
2. What's the fewest number of points for which every legal move would be checkmate?
• Pawns aren't allowed
• Exactly 1 King per side
• White to move. All black pieces' points are counted in the answer
• Q=9,R=5,B=3,N=3,K=3

Anyone have any suggested solutions to the above puzzles?

• There are way too many questions in one here. The "main question" feels like it's probably a duplicate, but the follow-up questions seem nice.
– Bass
Commented Apr 29, 2021 at 21:47
• Hmm, maybe it's not an exact dupe, the earlier question requires a mate from a reachable position. It has an answer with 105 checkmates.
– Bass
Commented Apr 29, 2021 at 21:59
• Does this answer your question? Highest number of mates Commented Apr 29, 2021 at 22:03

Unless I'm misunderstanding the rules, you can easily construct cheap forced mates by

putting white in check: (4 non-Kings, 16 14 points)

And along the same lines, some single-piece boards:

three queens or rooks, five bishops, or five knights should do the trick:

• Good one. I hadn't considered putting the opposing side in check to force a capture as the only legal move. This is probably (close to?) the optimal solution for the additional puzzles. Perhaps I should've made a separate puzzle Q for each sub-puzzle. Commented Apr 29, 2021 at 20:21

So many questions in one. Here's my answer to the follow-up question(s):

3 pieces, 13 points:

Which can be achieved like this:

White's only legal move is Kxb3#.