我想用java模拟哲学家进餐问题，但是不死锁

实验了很多此就是不死锁， 不知道是不是锁字符串对象的原因

package com.哲学家进餐;


import java.util.concurrent.ExecutorService;
import java.util.concurrent.Executors;

/**
 * @ClassName 死锁的问题
 * @Description TODO
 * @Author Shinelon
 * @Date DATE 2021/8/4 10:16
 */
public class 死锁的问题 {
    static String[] fork = {"fork1",
            "fork2","fork3"
            ,"fork4","fork5"};
      static  class Task implements Runnable{
          String lfork;
          String rfork;

          public String getLfork() {
              return lfork;
          }

          public void setLfork(String lfork) {
              this.lfork = lfork;
          }

          public String getRfork() {
              return rfork;
          }

          public void setRfork(String rfork) {
              this.rfork = rfork;
          }

          public Task(String lfork, String rfork){
              this.lfork=lfork;
              this.rfork=rfork;
          }
        @Override
        public void run() {
            //锁lfork
            synchronized (this.lfork){
                //锁rfork
                synchronized (this.rfork){
                    System.out.println("eating");
                }
            }
        }
    }
    //5个线程
    public static void main(String[] args) {
          Task[] tasks = new Task[5];
        tasks[0] = new Task(fork[0],fork[1]);
        tasks[1] = new Task(fork[1],fork[2]);
        tasks[2] = new Task(fork[2],fork[3]);
        tasks[3] = new Task(fork[3],fork[4]);
        tasks[4] = new Task(fork[4],fork[0]);

        ExecutorService executorService =  Executors.newFixedThreadPool(5);
        int k=0;
            for (int i = 0; i < 5; i++) {
                executorService.execute(tasks[i]);
            }
        executorService.shutdown();
    }
}