359.—­COUNTER SOLITAIRE.

Play as follows:  3—­11, 9—­10, 1—­2, 7—­15, 8—­16, 8—­7, 5—­13, 1—­4, 8—­5, 6—­14, 3—­8, 6—­3, 6—­12, 1—­6, 1—­9, and all the counters will have been removed, with the exception of No. 1, as required by the conditions.

360.—­CHESSBOARD SOLITAIRE.

Play as follows:  7—­15, 8—­16, 8—­7, 2—­10, 1—­9, 1—­2, 5—­13, 3—­4, 6—­3, 11—­1, 14—­8, 6—­12, 5—­6, 5—­11, 31—­23, 32—­24, 32—­31, 26—­18, 25—­17, 25—­26, 22—­32, 14—­22, 29—­21, 14—­29, 27—­28, 30—­27, 25—­14, 30—­20, 25—­30, 25—­5.  The two counters left on the board are 25 and 19—­both belonging to the same group, as stipulated—­and 19 has never been moved from its original place.

I do not think any solution is possible in which only one counter is left on the board.

361.—­THE MONSTROSITY.

White          Black,
1.  P to KB 4      P to QB 3
2.  K to B 2       Q to R 4
3.  K to K 3       K to Q sq
4.  P to B 5       K to B 2
5.  Q to K sq      K to Kt 3
6.  Q to Kt 3      Kt to QR 3
7.  Q to Kt 8      P to KR 4
8.  Kt to KB 3     R to R 3
9.  Kt to K 5      R to Kt 3
10.  Q takes B      R to Kt 6, ch
11.  P takes R      K to Kt 4
12.  R to R 4       P to B 3
13.  R to Q 4       P takes Kt
14.  P to QKt 4     P takes R, ch
15.  K to B 4       P to R 5
16.  Q to K 8       P to R 6
17.  Kt to B 3, ch  P takes Kt
18.  B to R 3       P to R 7
19.  R to Kt sq     P to R 8 (Q)
20.  R to Kt 2      P takes R
21.  K to Kt 5      Q to KKt 8
22.  Q to R 5       K to R 5
23.  P to Kt 5      R to B sq
24.  P to Kt 6      R to B 2
25.  P takes R      P to Kt 8 (B)
26.  P to B 8 (R)   Q to B 2
27.  B to Q 6       Kt to Kt 5
28.  K to Kt 6      K to R 6
29.  R to R 8       K to Kt 7
30.  P to R 4       Q (Kt 8) to Kt 3
31.  P to R 5       K to B 8
32.  P takes Q      K to Q 8
33.  P takes Q      K to K 8
34.  K to B 7       Kt to KR 3, ch
35.  K to K 8       B to R 7
36.  P to B 6       B to Kt sq
37.  P to B 7       K takes B
38.  P to B 8 (B)   Kt to Q 4
39.  B to Kt 8      Kt to B 3, ch
40.  K to Q 8       Kt to K sq
41.  P takes Kt (R) Kt to B 2, ch
42.  K to B 7       Kt to Q sq
43.  Q to B 7, ch   K to Kt 8

And the position is reached.

The order of the moves is immaterial, and this order may be greatly varied.  But, although many attempts have been made, nobody has succeeded in reducing the number of my moves.

362.—­THE WASSAIL BOWL.

The division of the twelve pints of ale can be made in eleven manipulations, as below.  The six columns show at a glance the quantity of ale in the barrel, the five-pint jug, the three-pint jug, and the tramps X, Y, and Z respectively after each manipulation.

        Barrel. 5-pint. 3-pint.  X. Y. Z.