Question

Задача 3. Дорога в стране Дураков Вдоль дороги в стране Дураков растут 40 кустов, на каждом кусте по 9 монет. Прохожие должны срывать с каждого куста 2, 3 или 4 монеты, но при этом никто не должен срывать поровну монет с соседних кустов, иначе охранники арестуют нарушителя. Алиса, потом Буратино и после них Василио прошли вдоль дороги и сорвали все монеты. Алиса сорвала не менее 140 монет, а Буратино сорвал меньше всех. Сколько монет сорвал Василио?

Answer 1

Заметим что 9=2+3+4 то есть с куста можно сорвать 2 3 и 4 монеты
Алиса щла первая и рвала сотответсвенно 4 3 4 3 ... 4 3 монеты, или 3 4 3 4 .... иначе ее бы арестовали . И набрала (4+3)*20=140 монет 
Значит осталось висеть на кустах после Алисы 6 5 6 5 6 5..... или 5 6 5 6  5 6... 
5=2+3 6=2+4 других вариантов нет и 2 встречается два раза значит буратино должен рвать еще 3, чтобы набрать наименьшее количество то есть Буратино рвал 3 2 3 2 .... Итого (2+3)*20=100
Значит Базилио срывал 2 4 2 4 2 4 ... Итого (2+4)*20=120 
Алиса 140 Базилио 120 Буратино 100   

Answer 2

Problem 3: Road in the Land of Fools

In the Land of Fools, there is a road with 40 bushes growing alongside it. Each bush has 9 coins on it. Passersby are allowed to pick 2, 3, or 4 coins from each bush. However, they must not pick an equal number of coins from neighboring bushes, as this would be considered a violation, and the guards would arrest the offender.

Alice, Buratino, and Vasilio walked along the road and picked all the coins. Alice picked at least 140 coins, while Buratino picked fewer coins than anyone else. The question is: how many coins did Vasilio pick?

To solve this problem, we need to find the number of coins picked by each person and determine the number of coins picked by Vasilio.

Solution:

Let's assume that Alice picked a total of A coins, Buratino picked B coins, and Vasilio picked V coins.

We know that Alice picked at least 140 coins, so we have the inequality: A ≥ 140.

Buratino picked fewer coins than anyone else, so we have the inequalities: B < A and B < V.

To find the number of coins picked by Vasilio, we need to determine the possible values for A and B and calculate the remaining coins for Vasilio.

Let's consider the possible values for A and B:

- If Alice picked exactly 140 coins (A = 140), Buratino could have picked any number of coins less than 140, such as 0, 1, 2, ..., 139. In this case, Vasilio would have picked the remaining coins: V = (40 * 9) - A - B.

- If Alice picked more than 140 coins (A > 140), Buratino would have picked fewer coins than Alice, so B < A. In this case, Vasilio would have picked the remaining coins: V = (40 * 9) - A - B.

Therefore, the number of coins picked by Vasilio depends on the values of A and B. We cannot determine the exact number of coins picked by Vasilio without additional information.

Please provide more information or clarify the values of A and B if available, so we can calculate the number of coins picked by Vasilio accurately.