It's checkmate in 20 moves. White's queens circle around the board giving checks, and Black interposes horizontally/vertically moving pieces. Black only has one choice because the other piece is pinned from the previous check. That goes well, until the pawn needs to move sideways:
[FEN "3Q4/7Q/3rp3/2rkr3/2rrr3/7K/8/8 w - - 0 1"]
1. Qb7+ Rc6 2. Qa5+...
If White can get the Black king to the first rank, then it will not be fast enough to catch the g-pawn from promoting. White starts by playing 1. Qg5, and after 1...Kh7 2. Qf6 Kg8 3. Qh6, the White queen can simply imitate the Black king's movements until she can start forcing the king down towards the first rank.
[FEN "7k/8/8/8/6p1/4QpPb/5PpP/6K1 w - -...
In the vast majority of the cases, an ending of Q+R vs. Q should be winning.
However, some exceptions exist, for instance:
[FEN "6RK/7Q/5q2/8/8/8/8/3k4 w - - 0 1"]
1.Qg7 Qh4+ 2.Qh7 Qf6+ 3.Rg7 Qd8+ 4.Qg8 Qh4+ 5.Rh7 Qf6+
In case you want to check whether your game was winning or not and how to win it, you can consult a tablebase, for example the ...
I have looked at tablebases but the moves are somewhat bizarre
That's the problem with tablebases; they're efficient but they can't 'play' human chess. This particular endgame is one-sided enough that it's almost never required to play the best move.
Just drive the opponent's king to the edge of the board, as you would do with king+queen vs. king; just be ...
This is one of the well known endgames and the side with the queen almost always (92% positions) wins, although some wins take more than 50 moves with perfect play.
See the solution for your position here by entering your position into the diagram.
I must point out that every move has been taken into account and every possible continuation has been ...
[Title "White plays and wins (note the position after 2 Kg6)"]
[FEN "4N2k/8/6PK/q7/8/8/8/8 w - - 0 0"]
1. g7+ Kg8 2. Kg6 Qb6+ 3. Nf6+ Qxf6 4. Kxf6 Kh7 5. Kf7 1-0
If Black stops 3 Nf6# with Qf5(g5,h5)+ then 3 Kxh5 and the Ne8 still holds
the Pg7 so White soon wins. The bottom edge of the board barely prevents
Black from turning the ...
This is called perpetual check and it is a draw. There is no extra rule for perpetual check because the draw can be claimed by invoking the three-fold repetition rule. (You said positions were not repeating, but if you cannot escape from a perpetual check, they will repeat sooner or later).
If you carefully go through the game, you will probably spot a ...
Always keep your K and Q on opposite colour squares, or have your K diagonally 1 gap away from the N, so that you will never be forked.
Beyond that, just as Glorfindel said, fork the N if it's allowed or drive opponent's K to the edge and checkmate.
There are actually two zones, depending on which side of the pawn the black king is. If it's already in the corner, the zone is small:
If the black king on the other side (towards the center), the zone is larger. The white queen can force the king to stand in front of the pawn, giving the white king an extra tempo to reach the 'small' zone above. (This also ...
My question concerns the Queen+pawn versus Queen endgame. Assuming that the pawn is on its initial square (second rank for white, seventh rank for black), are all these endgames objectively drawn? Second of all, what is the best strategy for the player with the material advantage to aim for a win?
Emphasis above are mine, and since you have 2 questions I ...
According to the Nalimov Endgame Tablebase: http://www.k4it.de/?topic=egtb&lang=en this position is a win in 40 moves for black, if black promotes for a knight to block the upcoming avalanche of checks.
However if black promotes for a queen it's a draw.
This max-DTZ position is mate in 8, but probably also a dead-end because it seems hard to improve starting here.
[FEN "7q/4q1q1/8/8/3q2Q1/1K6/8/1k6 w - - 0 1"]
1. Qf5+ Qde4 2. Qf1+ Qe1 3. Qd3+ Ka1 4. Qa6+ Qa5
5. Qxa5+ Qa3+ 6. Qxa3+ Kb1 7. Qa2+ Kc1 8. Qc2#
The best I could come up with is 7 moves, I don't believe it could take much longer, because with 4 queens there's not as much freedom as with 2, I cannot put black king in the middle of the board when capturing black queens while keeping king in check:
3q4/q7/q7/q7/8/8/8/k1K4Q w - - 0 1
And I made it nice as you asked -- the first move it not a capture! =)...
The best resource I know for endgame statistics remains the ICGA endgame stats. The spreadsheet posted there contains pretty much all endgames up to 6 men. So for example KQKR is found in row 27 (assuming White has KQ), with the following percentages:
W win 99.01 65.51
draw 0.80 5.83
B win 0.19 28.65
So as long as White has the ...
According to Wikipedia, citing Fundamental Chess Endings, such endgames are wins for the side with the queen, unless there's an immediate draw or win for the side with the rook.
However, such endgames are complex enough that even a grandmaster may not necessarily win before 50 moves.
It would be very helpful if you would post a couple of those games you mentioned that you gave up perpetual check.
I would say, "no", there are no stock positions that are meant to avoid perpetual check (at least I cannot think of any now that I would call "common"). You just have to be careful, and be aware of king safety. Sometimes, you just cannot avoid ...
According to Wikipedia:
According to Reuben Fine and Pal Benko, this ending is a draw unless
the pawn is a bishop pawn or a central pawn (i.e. king pawn or queen
pawn) and the pawn is in the seventh rank and is supported by its
king. If the defending king can get in front of the pawn, the game is
a draw; otherwise it is best for the defender to ...
This ending is a draw unless the pawn is a bishop pawn or a central pawn and the pawn is in the seventh rank and is supported by its king. If the defending king can get in front of the pawn, the game is a draw; otherwise it is best for the defender to keep his king far away from the pawn. The defender should keep checking until he runs out of check, and ...
They may as well try, since Q vs R is extremely difficult to win (even disregarding skewer tactics). The example of RB vs R is a great similar example, as it is a theoretical draw, but extraordinarily difficult to draw. There are numerous examples of top grandmasters being unable to convert Q vs R. As to a computer vs human- this was tested in 1978 in a ...
The 7-piece tablebase says that the position without the pawn on h6 is draw, so I believe this position is also a draw (by perpetual check).
A typical winning attempt in queen+pawn vs queen endgames is to find a position where white can block a check with his queen while at the same time giving check. This is not possible here since the black king is ...
Black seems to be able to get away with a draw by perpetual check. The usual way for White to escape that, is to advance the pawn, or interpose his/her own queen while giving check (thereby forcing the exchange of queens). The latter is impossible because black's king is well protected. The former is impossible as well, as long as black remembers to give ...
According to theory, this endgame is won for the Q+R side. Note that you can afford a queen exchange, since K+R still wins against a lone K.
You should manage winning it (or reducing it by Q exchange) in less than 50 full moves which gives your oppenent the opportunity to claim a draw.
Theoretically yes, as a practical matter (for humans), no.
What is known is that a pawnless position cannot be won (barring unusual positional circumstances) if one side has an advantage of a bishop or knight, but it can be won if one side has the advantage of a rook (or a queen versus a rook).
The "old" wisdom is that three minor pieces are worth about a ...
I analyzed your position with Stockfish 11 ("Stockfish_20011801_x64_modern" to be exact) to a depth of 78 and it returned the following line as the best continuation.
6k1/8/4qp1p/7P/6P1/5P2/6K1/Q7 w - - 0 1
1. Qa8+ Kf7 2. Qb7+ Kg8 3.Qb8+ Kf7 4. Qb1 Qe2+ 5. Kg3 Qe5+ 6. Kf2 Qh2+ 7. Ke3 Qe5+ 8. Qe4 Qc5+ 9. Ke2 Qb5+ 10. Kf2 Qb2+ 11. Kg3 Qa1 12. Qc4+ ...