of the middlegame by a large margin. In high-level play, the initiative is highly important, and a minor mistake can doom a game. Sacrifices are common in xiangqi, however they are more often tactical rather than positional. Usually, at most a minor piece is sacrificed for positional advantages, or a semi-tactical attack. Like in chess, xiangqi piece values depend highly on the position on the board. The following study from Volume 42 of the Elegant Pastime Manual, dating from the Ming Dynasty, illustrates this dramatically. It is Red to play and win. In this position, Red is up a soldier and cannon but Black threatens seemingly unstoppable mate with ...Rf1#, since 1.Ec5? Ad8! renews the mate threat. Note that the red chariot is nearly useless, having only two legal moves, in stark contrast to the very active black chariot. However, Red averts the checkmate by sacrificing both the cannon and chariot: 1.Ca10+!! Hxa10 2.Ea3! Rxa1 (otherwise the chariot is lost, since the red horse defends e2) 3.Eec1: Despite the substantial sacrifice of material by Red, Black's chariot has now become useless as it is permanently immobilized by the red elephants and horse; the red general prevents the black soldier on g2 from moving laterally to free the chariot (for example 3...g1 4.Gf2). Black's horse similarly has no safe move due to the red soldier on c8. In addition, the black soldier on g6 is undefended and has no safe move, so Red can win it by pushing the soldier on c4 to c6 and moving it laterally to the g-file, after which the position is effectively an endgame of three soldiers against two advisers, an easy win for Red (see below) despite being down a chariot for three soldiers. Endgame Though xiangqi endgames require remarkable skill to be played well, there are a number of widely known book wins and book draws. Without a counterpart to pawn promotion, xiangqi endgames instead focus more directly on forcing checkmate or stalemate, and in this regard resemble pawnless chess endgames. Since stalemate is a loss for the stalemated player instead of a draw, most book draws in xiangqi are due to fortresses, with a few draws due to insufficient material. A general rule in xiangqi endgames for the advantageous side is that, when there's less material on the board, do not trade pieces easily, as with fewer attacking pieces on the board, defending