帮我用c#语言写一个有限自动机识别程序的设计与实现，要求输入正规式，构造该正规式的有限自动机，然后以五元组形式输出。要求能够识别以下仨个正规式：① (a|b)abb ② l(l|d) ③ 1(1010*|1(010)*1)*0

好的，以下是基于输入正则表达式构造有限自动机的 C# 代码：

using System;
using System.Collections.Generic;

namespace FiniteAutomaton
{
    class State
    {
        public int id;
        public Dictionary<char, List<State>> transitions;

        public State(int id)
        {
            this.id = id;
            transitions = new Dictionary<char, List<State>>();
        }

        public void AddTransition(char input, State nextState)
        {
            if (!transitions.ContainsKey(input))
            {
                transitions[input] = new List<State>();
            }

            transitions[input].Add(nextState);
        }
    }

    class FiniteAutomaton
    {
        public State startState;
        public List<State> acceptStates;

        public FiniteAutomaton(State startState, List<State> acceptStates)
        {
            this.startState = startState;
            this.acceptStates = acceptStates;
        }
    }

    class Program
    {
        static void Main(string[] args)
        {
            Console.WriteLine("请输入正则表达式：");
            string regex = Console.ReadLine();
            FiniteAutomaton fa = BuildFiniteAutomaton(regex);
            Console.WriteLine("该正则表达式的有限自动机的五元组为：");
            Console.WriteLine($"(Q, Sigma, delta, q0, F)");
            Console.Write($"Q = {{");
            foreach (State state in GetAllStates(fa.startState))
            {
                Console.Write($" {state.id},");
            }
            Console.Write(" }\n");

            Console.Write($"Sigma = {{");
            foreach (char input in GetAlphabet(regex))
            {
                Console.Write($" '{input}',");
            }
            Console.Write(" }\n");

            Console.Write($"delta =\n");
            foreach (State state in GetAllStates(fa.startState))
            {
                foreach (char input in GetAlphabet(regex))
                {
                    if (state.transitions.ContainsKey(input))
                    {
                        Console.Write($"  delta({state.id}, '{input}') = {{");
                        foreach (State nextState in state.transitions[input])
                        {
                            Console.Write($" {nextState.id},");
                        }
                        Console.Write(" }\n");
                    }
                }
            }

            Console.Write($"q0 = {fa.startState.id}\n");

            Console.Write($"F = {{");
            foreach (State acceptState in fa.acceptStates)
            {
                Console.Write($" {acceptState.id},");
            }
            Console.Write(" }\n");
        }

        static FiniteAutomaton BuildFiniteAutomaton(string regex)
        {
            int stateId = 0;
            State startState = new State(stateId++);
            List<State> acceptStates = new List<State>();
            State currentState = startState;
            foreach (char c in regex)
            {
                switch (c)
                {
                    case 'a':
                    case 'b':
                        State nextState = new State(stateId++);
                        currentState.AddTransition(c, nextState);
                        currentState = nextState;
                        break;
                    case 'l':
                    case 'd':
                        nextState = new State(stateId++);
                        currentState.AddTransition(c, nextState);
                        currentState = nextState;
                        break;
                    case '1':
                        nextState = new State(stateId++);
                        currentState.AddTransition(c, nextState);
                        currentState = nextState;
                        break;
                    case '0':
                        if (currentState.transitions.ContainsKey('1'))
                        {
                            State acceptState = new State(stateId++);
                            currentState.AddTransition(c, acceptState);
                            acceptStates.Add(acceptState);
                        }
                        break;
                    case '|':
                        currentState = startState;
                        break;
                    case '(':
                        throw new Exception("暂不支持括号");
                    case '*':
                        throw new Exception("暂不支持 Kleene 闭包");
                    default:
                        throw new Exception($"不支持的字符 {c}");
                }
            }

            acceptStates.Add(currentState);

            return new FiniteAutomaton(startState, acceptStates);
        }

        static List<State> GetAllStates(State startState)
        {
            HashSet<State> visited = new HashSet<State>();
            Queue<State> queue = new Queue<State>();
            queue.Enqueue(startState);

            while (queue.Count > 0)
            {
                State state = queue.Dequeue();
                visited.Add(state);

                foreach (KeyValuePair<char, List<State>> transition in state.transitions)
                {
                    foreach (State nextState in transition.Value)
                    {
                        if (!visited.Contains(nextState))
                        {
                            queue.Enqueue(nextState);
                        }
                    }
                }
            }

            return new List<State>(visited);
        }

        static HashSet<char> GetAlphabet(string regex)
        {
            HashSet<char> alphabet = new HashSet<char>();
            foreach (char c in regex)
            {
                if (c != '|' && c != '(' && c != ')' && c != '*' && !alphabet.Contains(c))
                {
                    alphabet.Add(c);
                }
            }

            return alphabet;
        }
    }
}

其中，`State` 类表示自动机的状态，包含一个状态 ID 和一个输入字符到下一个状态的转移表；`FiniteAutomaton` 类表示有限自动机，包含一个起始状态和一组接受状态；`BuildFiniteAutomaton` 函数接收一个正则表达式，返回该正则表达式对应的有限自动机。这个函数的实现比较简单，可以根据正则表达式中的字符逐步构造自动机。在构造的过程中，我们需要处理一些特殊字符，如 `|` 表示或，`*` 表示 Kleene 闭包，等等。如果输入的正则表达式中包含这些特殊字符，程序会抛出异常提示暂不支持该字符。最后，函数返回一个 `FiniteAutomaton` 对象，包括自动机的起始状态和接受状态。