Question

ппппжжжжж умоляю сделайте10. Забор у тётушки Полли прямой и состоит из 96-ти вертикальных досок. Тётушка Полли дала задание Тому Сойеру покрасить этот забор. Вчера днём Том покрасил несколько досок, но вечером тётушка Полли заметила, что среди любых 5-ти досок подряд покрашено не более одной доски. Тётушка Полли осталась недовольна и велела Тому красить дальше. Сегодня Том покрасил ещё несколько досок, и теперь среди любых 4-х досок подряд не менее одной покрашенной. Какое наименьшее количество досок мог покрасить Том Сойер сегодня? Замечание: В ответе укажите только число (или несколько чисел через запятую).​

Answer 1

Ответ:

8

Пошаговое объяснение:

Тётушка разозлилась и велела ему идти красить забор, на второй раз он покрасил наибольшую часть, а в первой наименьшую

Answer 2

To solve this problem, we need to find the minimum number of boards that Tom Sawyer could have painted today, given the conditions set by Aunt Polly.

Let's break down the problem:

- Yesterday, Tom painted some boards, but Aunt Polly noticed that no more than one board was painted among any five consecutive boards. - Today, Tom painted some more boards, and now no fewer than one board is painted among any four consecutive boards.

To find the minimum number of boards Tom could have painted today, we need to find the smallest number that satisfies both conditions.

Let's consider the two scenarios:

1. Yesterday, Tom painted 1 board. In this case, the pattern of painted and unpainted boards could look like this: UPUPU (U = unpainted, P = painted). Today, Tom needs to paint at least one more board to satisfy the second condition. So, the minimum number of boards Tom could have painted today is 1.

2. Yesterday, Tom painted 2 boards. In this case, the pattern of painted and unpainted boards could look like this: UPUPP. Today, Tom needs to paint at least one more board to satisfy the second condition. So, the minimum number of boards Tom could have painted today is 1.

Therefore, the minimum number of boards Tom could have painted today is 1.

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