Answers 365in Sam Loyd's Cyclopedia of Puzzles as the solution to his Presidential Puz-
zle on page 293. Loyd says he first gave the puzzle in 1908, and describes the
solution as "a wonderfully difficult trick." Whether Loyd copied the puzzle
from Dudeney, or vice versa, has not yet been determined.
Note that this solution for the 7 X 7 array also provides a solution to the
problem of making a closed "queen's tour" on a 7 X 7 chessboard in 2n - 2
moves. Closed queen's tours in 2n - 2 moves are also possible on all boards
with sides greater than 7. The closed 14-move queen's tour on the standard
8 X 8 board was first solved by Sam Loyd, who considered it one of his best
puzzles. (See Alain C. White, Sam Loyd and His Chess Problems, 1913,
reprinted by Dover in 1962, pp. 42-43.)
A proof that 2n - 2 segments are also necessary for any square array was
given by John L. Selfridge in American Mathematical Monthly, Vol. 62, 1955,
p. 443.-M. G.]
- GOING TO CHURCH
Starting from the house, H, there is only one way of getting to each of the
points in a northerly direction, and also going direct east, so I write in the