[327.—A NEW BISHOP'S PUZZLE.—solution]

Play as follows, using the notation indicated by the numbered squares in Diagram A:—

White.Black.
1. 18—151. 3—6
2. 17—82. 4—13
3. 19—143. 2—7
4. 15—54. 6—16
5. 8—35. 13-18
6. 14—96. 7—12
7. 5—107. 16-11
8. 9—198. 12—2
9. 10—49. 11-17
10. 20—1010. 1—11
11. 3—911. 18—12
12. 10—1312. 11—8
13. 19—1613. 2—5
14. 16—114. 5—20
15. 9—615. 12—15
16. 13-716. 8—14
17. 6—317. 15-18
18. 7—218. 14—19

Diagram B shows the position after the ninth move. Bishops at 1 and 20 have not yet moved, but 2 and 19 have sallied forth and returned. In the end, 1 and 19, 2 and 20, 3 and 17, and 4 and 18 will have exchanged places. Note the position after the thirteenth move.

[328.—THE QUEEN'S TOUR.—solution]

The annexed diagram shows a second way of performing the Queen's Tour. If you break the line at the point J and erase the shorter portion of that line, you will have the required path solution for any J square. If you break the line at I, you will have a non-re-entrant solution starting from any I square. And if you break the line at G, you will have a solution for any G square. The Queen's Tour previously given may be similarly broken at three different places, but I seized the opportunity of exhibiting a second tour.