Question

За круглым столом сидят 18 человек. Некоторые из них рыцари, которые всегда говорят правду, а остальные лжецы, которые всегда лгут. Каждый сидящий за столом сказал такую фразу: "Оба моих соседей - лжецы, а ровно напротив меня сидит рыцарь". Какое наибольшее и какое наименьшее количество лжецов могли сидеть за столом. В ответе запишите сумму полученных значений. (Напоминание: фраза считается правдивой только в том случае, если все сказанное в ней, является правдой), срочно пж, дам 60 баллов​

Answer 1

Ответ: ответ: 9 рыцарей и 9 лжецов
Объяснение: ЛпЛпЛпЛпЛпЛпЛпЛпЛп
2) Если эту фразу сказал лжец то всерогно рыцарей 9, и лжецов тлже
Объяснение: ПлПлПлПлПлПлПлПлПл

Answer 2

Problem Analysis

We are given that 18 people are sitting around a table. Some of them are knights who always tell the truth, while the rest are liars who always lie. Each person at the table makes the following statement: "Both of my neighbors are liars, and there is a knight sitting directly across from me." We need to determine the maximum and minimum number of liars that could be sitting at the table.

Solution

To solve this problem, let's consider the possible scenarios for the statements made by each person at the table.

1. If a person is a knight, their statement must be true. Therefore, both of their neighbors must be liars, and the person sitting directly across from them must be a knight. This means that there can be a maximum of 9 knights at the table, with the remaining 9 people being liars.

2. If a person is a liar, their statement must be false. This means that at least one of their neighbors must be a knight, and the person sitting directly across from them must be a liar. Since there are 18 people at the table, there must be at least one liar. Therefore, there can be a minimum of 1 liar at the table.

Based on the above analysis, the maximum number of liars is 9, and the minimum number of liars is 1. The sum of these values is 10.

Answer: 10