在一个包名为DFAE和类名为DFAExample的Java程序中结合dfaRecognize函数分别实现24.E' → E 25. E → E + T | T 26. T → F | F * F 27. F → id

以下是一个可能的实现：

package DFAE;

import java.util.Scanner;

public class DFAExample {

    enum State {
        START, // 初始状态
        E, E_PLUS, T, T_TIMES, F, ID, ERROR, // 状态
        FINAL // 终止状态
    }

    static State dfaRecognize(String input) {
        State state = State.START;
        int i = 0;
        while (i < input.length()) {
            char c = input.charAt(i);
            switch (state) {
                case START:
                    if (c == 'i') state = State.ID;
                    else if (c == '(') state = State.E;
                    else state = State.ERROR;
                    break;
                case E:
                    if (c == 'i' || c == '(') state = State.E;
                    else if (c == '+') state = State.E_PLUS;
                    else state = State.ERROR;
                    break;
                case E_PLUS:
                    if (c == 'i' || c == '(') state = State.T;
                    else state = State.ERROR;
                    break;
                case T:
                    if (c == 'i' || c == '(') state = State.F;
                    else state = State.ERROR;
                    break;
                case T_TIMES:
                    if (c == 'i' || c == '(') state = State.F;
                    else state = State.ERROR;
                    break;
                case F:
                    if (c == 'i') state = State.ID;
                    else if (c == '(') state = State.E;
                    else state = State.ERROR;
                    break;
                case ID:
                    if (c == 'i' || c == '(' || c == '+' || c == '*' || c == ')') state = State.FINAL;
                    else state = State.ERROR;
                    break;
                default:
                    state = State.ERROR;
                    break;
            }
            i++;
        }
        if (state == State.START || state == State.ERROR) {
            return State.ERROR;
        } else {
            return State.FINAL;
        }
    }

    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        System.out.print("请输入一个字符串: ");
        String input = scanner.nextLine();
        State state = dfaRecognize(input);
        if (state == State.FINAL) {
            System.out.println("该字符串符合语法规则。");
        } else {
            System.out.println("该字符串不符合语法规则。");
        }
    }
}

在该程序中，我们使用了一个 `enum` 类型 `State` 表示 DFA 的状态。`dfaRecognize` 函数接受一个字符串作为输入，然后根据语法规则逐个字符地对输入字符串进行分析，最后返回字符串是否符合语法规则。`main` 函数则是一个简单的示例，用于从命令行输入一个字符串并输出结果。