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Helpmate
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== Varieties of helpmate problems == === Multiple solutions === {{Chess diagram |tright |Chris Feather, 1975 | |rl|rd|bl| | |bd| | | | | | | | | | | | | |nd| | | | | |nd| | | |pd| | | |kl| | |bd| | | |pd| |rd|kd| | | | | | | | | |bl|rl | | | | | | | | |Helpmate in 2 (two solutions) }} Because the nature of helpmates sees Black and White cooperating, the play in helpmates may seem to be a great deal simpler than in [[directmate]]s (the most common type of problem, where White tries to checkmate Black, and Black tries to avoid being mated). In directmates, a great variety of play can be found in the solution because although White has only one move at each juncture which will solve the problem, Black can choose between several to try to thwart White's efforts. In helpmates, however, both White's and Black's moves are limited to just one at each juncture; this may seem simple, but a well-constructed helpmate also shows thematic play, and the cooperating moves should not always be easy to find. It has been noted by Jean Oudot that "helpmates are the purest form of all the chess arts". In order to introduce more lines of play into a problem, various devices can be employed. Most straightforwardly, a problem can have more than one solution. The solutions will usually complement each other in some thematic and aesthetically pleasing way. Each solution can be considered a different [[phase of play]]. If there is more than one solution, the composer will state this; if there is no such statement, the problem has only one solution. The example to the right is a helpmate in 2 (h#2) with two solutions. It was published in the June 1975 issue of ''Schach'' and is by the helpmate specialist [[Chris J. Feather]]. The two solutions are '''1. Bxb8 Bd5 2. Nc7 Bxg5#''' and '''1. Rdxd8 Bc6 2. Nd7 Rxb3#'''. These lines are very closely linked, with both exhibiting the same basic pattern: first, Black takes the white piece that gives mate in the other solution (this is known as a [[Zilahi]]), at the same time opening the line on which mate is eventually given, then White moves a bishop to close a line so that Black's next move will not give check. Black's second move closes another line so that after White's last move, giving check, Black will not be able to interpose one of his [[chess piece|pieces]]. === Twinning === {{Chess diagram |tright |Henry Forsberg, 1935 | | | | | | | | | | | | | | | | |qd| | | | | | | | | | | | | | | | |rl| | | | |kl| |kd| | |nl| | | | | | | | | | | | | | | | | | | | |Helpmate in 2: a) diagram, b) replace queen on a6 with a black rook, c) with a bishop, d) with a knight e) with a pawn }} Another way of giving variety to the play of a helpmate is ''twinning''. Here, more than one problem is wrought from a single diagram by making small changes to it, such as moving a piece from one square to another, adding or removing a piece, turning the board round or some other device. Twinning is occasionally found in other types of problems, but is particularly common in helpmates. The example shown is a helpmate in 2 by [[Henry Forsberg]] (published in 1935 in ''Revista Romana de Εah''). The twins are created by substituting the black queen on a6 with a different piece. The solutions are: :a) diagram position: '''1. Qf6 Nc5 2. Qb2 Ra4#''' :b) with black rook at a6: '''1. Rb6 Rb1 2. Rb3 Ra1#''' :c) with black bishop at a6: '''1. Bc4 Ne1 2. Ba2 Nc2#''' :d) with black knight at a6: '''1. Nc5 Nc1 2. Na4 Rb3#''' :e) with black pawn at a6: '''1. a5 Rb3+ 2. Ka4 Nc5#''' {{Clear}} === Duplex === {{Chess diagram |tright |Milan Vukcevich, June 1961 | | | | |kl| | |nd | | | |pl| |pl| | | | | | |kd| | | | | | |pd| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |Helpmate in 2: a) Black moves first and White checkmates, b) White moves first and Black checkmates }} A further variation is the ''duplex'', another way of getting two problems for the price of one. The first problem is a normal helpmate; the second starts from the same position but has White moving first and helping Black to checkmate him. Again, duplex problems have been composed with other types of problems, but the vast majority are helpmates. To the right is an example by [[Milan Vukcevich]] (from ''CHM avec 6 pieces Bad Pyrmont'', 1996). The solution with Black moving first is '''1. Ng6 f8=Q 2. Ne5 d8=N#'''. With White moving first, it is '''1. f8=R Nf7 2. d8=B Nd6#'''. These two lines are closely linked, with two white pawn [[promotion (chess)|promotions]] covering the black king's flight squares in the first part and promoted pieces blocking White's flight squares in the second. This problem is an [[Allumwandlung]], a problem in which pawns are promoted to each of knight, bishop, rook and queen. === Unorthodox helpmate problems === Very popular today also are helpmates where White moves first; then the stipulation contains a "Β½", for example a helpmate in 2Β½ moves. Helpmates, like other problems, can be composed with [[fairy chess pieces]] or with fairy conditions ([[chess variant]] rules), such as [[Circe chess]], [[Grid chess]], or [[Patrol chess]]. All of these variations can be, and have been, combined. (So it is possible to have, for instance, a series-helpmate in 7, twinned with two solutions in each phase, using [[Nightrider (chess)|nightrider]]s and [[Madrasi chess]].) Problems related to helpmates can have other kinds of stipulations involving cooperation between White and Black, in particular [[seriesmover]] problems, like seriesmates, serieshelpmates, serieshelpstalemates, etc. {{Clear}}
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