25 шахматных коней
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На каждой клетке шахматной доски размером
25 коней не могут одновременно перейти с одного поля мини-доски 5 × 5 на другое. Это легко доказать с помощью проверки на чётность. Конь всегда ходит с поля одного цвета на поле другого цвета. Доска 5 × 5имеет 13 полей одного цвета и 12 полей другого. Ясно, что 13 коней не могут пойти на 12 полей так, чтобы по крайней мере два из них не оказались на одном и том же поле. Приведённое доказательство применимо ко всем доскам с нечётным числом полей.
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