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Возврат к головоломкам

Сколько коней нужно, чтобы атаковать всю доску? Чтобы контролировать всю доску?

Ответ: Четырнадцать коней, чтобы атаковать все клетки доски:

    1   2   3   4   5   6   7   8
   ___ ___ ___ ___ ___ ___ ___ ___
h |   |   |   |   |   |   |   |   |
   --- --- --- --- --- --- --- ---
g |   |   | N | N | N | N |   |   |
   --- --- --- --- --- --- --- ---
f |   |   |   |   |   |   |   |   |
   --- --- --- --- --- --- --- ---
e |   | N | N |   |   | N | N |   |
   --- --- --- --- --- --- --- ---
d |   |   |   |   |   |   |   |   |
   --- --- --- --- --- --- --- ---
c |   | N | N | N | N | N | N |   |
   --- --- --- --- --- --- --- ---
b |   |   |   |   |   |   |   |   |
   --- --- --- --- --- --- --- ---
a |   |   |   |   |   |   |   |   |
   --- --- --- --- --- --- --- ---
 Можно воспользоваться таким вариантом:
    1   2   3   4   5   6   7   8
   ___ ___ ___ ___ ___ ___ ___ ___
h |   |   |   |   |   |   |   |   |
   --- --- --- --- --- --- --- ---
g |   |   | N |   |   | N |   |   |
   --- --- --- --- --- --- --- ---
f |   |   | N | N | N | N |   |   |
   --- --- --- --- --- --- --- ---
e |   |   |   |   |   |   |   |   |
   --- --- --- --- --- --- --- ---
d |   |   | N | N | N | N |   |   |
   --- --- --- --- --- --- --- ---
c |   | N | N |   |   | N | N |   |
   --- --- --- --- --- --- --- ---
b |   |   |   |   |   |   |   |   |
   --- --- --- --- --- --- --- ---
a |   |   |   |   |   |   |   |   |
   --- --- --- --- --- --- --- ---
 Чтобы контролировать (атаковать, либо занимать) все клетки доски, достаточно 12 коней:
    1   2   3   4   5   6   7   8
   ___ ___ ___ ___ ___ ___ ___ ___
a |   |   |   |   |   |   |   |   |
   --- --- --- --- --- --- --- ---
b |   |   | N |   |   |   |   |   |
   --- --- --- --- --- --- --- ---
c |   |   | N | N |   | N | N |   |
   --- --- --- --- --- --- --- ---
d |   |   |   |   |   | N |   |   |
   --- --- --- --- --- --- --- ---
e |   |   | N |   |   |   |   |   |
   --- --- --- --- --- --- --- ---
f |   | N | N |   | N | N |   |   |
   --- --- --- --- --- --- --- ---
g |   |   |   |   |   | N |   |   |
   --- --- --- --- --- --- --- ---
h |   |   |   |   |   |   |   |   |
   --- --- --- --- --- --- --- ---

Интерактивный лазерный тир читать дальше.