L.A. Times Problem No. 83 by Sam Loyd. White mates in two.
FEN 2B2B2/8/1pkP4/1p2Q3/3P4/8/nKN4p/5R1q w - - 0 1
Key: Q-K2/Qe2
L.A. Times Problem No. 84 by J. Dobrusky. First prize winner in a Russian tourney. White mates in four. No. 84 shows tour of the white queen which, originally standing in one corner, visits every corner, following the sides of the board in a regular course (with black's best defense, but other defenses permit shorter mates.)
FEN 8/3B4/1K1p4/2pNk3/2bn1b2/3p4/5N2/Q7 w - - 0 1
Key: 1. Q-R8 N-K3; 2. Q-R8ch, N-N2 3. Q-R, BxN; 4. Q-Rmate. Black's best moves are given; others permit shorter mates. If B-KN4; 2. N-N4ch, K-K5; 3. QN-B6d.ch, K-B5; 4. N-R5mate.