Mathematical_Recreations-Kraitchik-2e

Games 283
tween 2 and 4 balls in each pocket. The object of the game
is to clear these balls off the table. The first player chooses
one pocket in front of him and distributes the balls from
it among the successive pockets to the right of the one chosen,
putting one ball in each pocket. He may put the balls in the
rum a or in neighboring pockets beyond it, if necessary.
The fundamental rule is that the last ball may not go into
an empty pocket.
A ball must be put in the ruma or corner pocket if that is
the last one. But the corner pockets may not be emptied.
As the game goes on it will happen that a player cannot
play, because the last ball in everyone of his pockets would
have to be played into an empty pocket. The player then
receives a penalty ball, which is put in F.
If a player receives 12 penalty balls he loses. Any player
who empties all the pockets on his side wins, however many
penalty balls (under 12) he may have.
9. THE NAVAL BATTLE. This is a game for two players
in command of opposing fleets. Neither knows the exact
location of his opponent's ships, but by firing successive salvos,
of whose effect he is kept informed, each tries to determine
where each of his opponent's ships lies. The first to
"destroy" these ships wins.
The field of battle is the set of cells in a 9 X 9 square
marked off on graph paper. For purposes of reference the
cells may be identified by the co-ordinates of their centers.
Each player marks off two such squares. On one he
records the positions of his own ships and the location of his
opponent's shots. On the other he records his own shots.
The ships are rectangles of cells, and their locations may be
indicated by shading the cells of the battlefield occupied by
them. Each fleet consists of 1 battleship (1 cell wide by 4
cells long), two cruisers (each 1 X 3), 3 destroyers (each
1 X 2), and 4 submarines (each 1 Xl).