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Консультация № 181671
29.12.2010, 17:42
82.94 руб.
0
1
1
Здравствуйте, уважаемые эксперты! Прошу Вас ответить на следующий вопрос:
Клетки прямоугольника 333X444 закрашивают последовательно – начиная с левой нижней и двигаясь по спирали против часовой стрелки. Найдите номер строки и столбца клетки, которая будет закрашена последней. ( Например, левая нижняя клетка стоит в 333 строке и первом столбце).
Клетки прямоугольника 333X444 закрашивают последовательно – начиная с левой нижней и двигаясь по спирали против часовой стрелки. Найдите номер строки и столбца клетки, которая будет закрашена последней. ( Например, левая нижняя клетка стоит в 333 строке и первом столбце).
Обсуждение
Неизвестный
29.12.2010, 18:07
общий
это ответ
Здравствуйте, Наталия!
После каждого обхода прямоугольника незакрашенная часть также будет прямоугольником, но с длиной и шириной на 2 клетки меньше исходного.
Таким образом после 166 витков спирали останется прямоугольник-строка 1Х112 и текущая клетка находится слева. Последней будет закрашена крайняя правая клетка этой строки. Эта клетка отстоит от верхней и правой сторон исходного прямоугольника на 166 клеток, т.е. находится в строке 166 + 1 = 167 и столбце 444 - 166 = 278.
Ответ: 167,278
После каждого обхода прямоугольника незакрашенная часть также будет прямоугольником, но с длиной и шириной на 2 клетки меньше исходного.
Таким образом после 166 витков спирали останется прямоугольник-строка 1Х112 и текущая клетка находится слева. Последней будет закрашена крайняя правая клетка этой строки. Эта клетка отстоит от верхней и правой сторон исходного прямоугольника на 166 клеток, т.е. находится в строке 166 + 1 = 167 и столбце 444 - 166 = 278.
Ответ: 167,278
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