HBC252843[NOIP2018]货币系统,背包问题,动态规划Love Choice题解

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In order to perform better in a romantic relationship with Eva, Colin studies hard by playing LoveChoice on Steam. To simplify the problem, we describe it as follows:. normal choices. In addition, some questions have another hidden choice. There is only one correct choice for each question, and if there is a hidden choice for this question, the hidden choice must be the correct choice.In a round of game, you must answer all the questions in order. After answering all the questions, the system will tell you if each questionis answered correctly.Colin is calm enough. For each question, he will only choose one of the choices that may not be the wrong choice with equal probability each time. However, Colin's observation ability is relatively ordinary, so if a question has a hidden choice, Colin will only find out that there is a hidden choice after knowing that all the. Colin is hardworking. His goal is to answer all questions correctly in a round. Please calculate the expected number of rounds for him to answer all the questions correctlyfor the first time.

It’s the beginning of a new relationship. Will this one result in joy or sorrow? In LoveChoice, you choose the actions that determine how the relationship unfolds. Pick your responses to each of the situations. These endearing and bittersweet stories are surprisingly realistic and easy to relate to. In order to perform better in a romantic relationship with Eva, Colin studies hard by playing LoveChoice on Steam. To simplify the problem, we describe it as follows: There are n n multiple-choice questions, the i i-th question has a_i a i ​ normal choices. In addition, some questions have another hidden choice. There is only one correct choice for each question, and if there is a hidden choice for this question, the hidden choice must be the correct choice. In a round of game, you must answer all the questions in order. After answering all the questions, the system will tell you if each question is answered correctly. Colin is calm enough. For each question, he will only choose one of the choices that may not be the wrong choice with equal probability each time. However, Colin's observation ability is relatively ordinary, so if a question has a hidden choice, Colin will only find out that there is a hidden choice after knowing that all the a_i a i ​ normal choices for this question are wrong. Colin is hardworking. His goal is to answer all questions correctly in a round. Please calculate the expected number of rounds for him to answer all the questions correctly for the first time.

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标签： HBC252843[NOIP2018]货币系统 背包问题 动态规划Love Choice题解