Excelsior (chess problem)

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This article uses algebraic notation to describe chess moves.
Sam Loyd, London Era, 1861
Image:chess zhor 26.png
Image:chess zver 26.png a8 nd b8 c8 rd d8 bd e8 f8 g8 h8 Image:chess zver 26.png
a7 b7 pd c7 d7 e7 f7 pd g7 h7 pd
a6 b6 pd c6 d6 e6 f6 g6 h6
a5 b5 rl c5 d5 e5 f5 g5 h5 kl
a4 b4 c4 d4 e4 f4 g4 h4
a3 pd b3 c3 d3 e3 pd f3 g3 pl h3 nl
a2 b2 pl c2 pl d2 e2 rl f2 g2 h2
a1 nl b1 c1 d1 e1 f1 g1 h1 kd
Image:chess zhor 26.png
White to move and mate in five with the "least likely piece or pawn".

"Excelsior" is one of Sam Loyd's most famous chess problems, originally published in London Era in 1861, named after the poem "Excelsior" by Henry Wadsworth Longfellow. Loyd had a friend who was willing to wager that he could always find the piece which delivered the principal mate of a chess problem. Loyd composed this problem as a joke and bet his friend dinner that he could not pick a piece that didn't give mate in the main line (his friend immediately identified the pawn on b2 as being the least likely to deliver mate), and when the problem was published it was with the stipulation that white mates with "the least likely piece or pawn".

[edit] Solution

The solution is as follows:

1.b4!
Threatening 2.Rf5 any 3.Rf1# or 2.Rd5 any 3.Rd1# (with possible prolonging of both by 2...Rc5 3.bxc5 any 4.R mates). White cannot begin with 1. Rf5 because Black's 1.... Rc5 would pin the rook.
Now there are multiple possible half-defences defending only one of threats and one secondary non-thematical defence:
1...Rxc2 2.Nxc2! a2 3.Rd5 (or Rf5) a1Q 4.Nxa1 any 5.R mates.
1...Rc5+ 2.bxc5!
Threatening 3.Rb1#.
2...a2 3.c6!
Again with the same threats as on move one, i.e. 4.Rf5 any 5.Rf1# or 4.Rd5 any 5.Rd1#.
3...Bc7
Because both Rd5 and Rf5 are threatened; the alternative moves 3.... Bf6 and 3.... Bg5 would only defend against one or the other, i.e. they would half-defend. The given move does defend against Rd5 in the sense that 4.Rd5 Bxg3 5.Rd1+ Be1 6. Rdxe1# takes more than the required 5 moves, and similarly for 4.Rf5 Bf4.
4.cxb7 any 5.bxa8=Q/B#.
The mate is delivered with the pawn which starts on b2.

Any problem which features a pawn moving from its starting square to promotion in the course of the solution is now said to demonstrate the Excelsior theme. Nowadays it is most usually shown in helpmates and seriesmovers.