使用C#迴圈鏈表解決約瑟夫環的問題

來源:互聯網
上載者:User
前幾日看到一個關於約瑟夫環的面試題,於是試著動手做了一下,沒有採用.Net類庫的LinkedList類,自己實現了一個迴圈鏈表結構,然後類比遊戲過程得出結果。

具體代碼如下:

代碼class Program
    {
        static void Main(string[] args)
        {
            const int HUMAN_MAX = 17;
            const int HUMAN_INDEX = 3;
            const int HUMAN_NUMBER = 0;
 
            LinkTable<Human> list = new LinkTable<Human>();
            for (int i = 0; i < HUMAN_MAX; i++)
            {
                list.Add(new Human(i));
            }
 
            Human human = list.First;
            int number = HUMAN_NUMBER;
            do
            {
                if (number == HUMAN_INDEX)
                {
                    number = 0;
                    Console.WriteLine(human.ID);
                    list.Remove(human);
                }
                else
                {
                    number++;
                    human = (Human)human.Next;
                }
            }
            while (human.Next != human);
            Console.WriteLine(human.ID);
 
            Console.Read();
        }
 
        public class Human : LinkTableNode {
            public Human(int id){
                this.ID = id; 
            }
            public int ID{get;set;}
        }
 
        /// <summary>
        /// 圓環鏈表
        /// </summary>
        /// <typeparam name="T"></typeparam>
        public class LinkTable<T> where T : LinkTableNode
        {
            public List<T> list = new List<T>();
 
            public T First
            {
                get
                {
                    return list.Count > 0 ? list[0] : default(T);
                }
            }
 
            public void Add(T t)
            {
                t.Previous = list.Count == 0 ? t : list[list.Count - 1];
                t.Next = list.Count == 0 ? t : list[0];
                if (list.Count > 0)
                {
                    list[0].Previous = t;
                    t.Previous.Next = t;
                }
                list.Add(t);
            }
 
            public void Remove(T t)
            {
                int i = list.IndexOf(t);
                if(list.Count == 1)
                {
                    list.Remove(t);
                }
                else
                {
                    t.Previous.Next = t.Next;
                    t.Next.Previous = t.Previous;
                }
            }
        }
 
        /// <summary>
        /// 鏈表節點
        /// </summary>
        public class LinkTableNode
        {
            /// <summary>
            /// 下一個節點
            /// </summary>
            public LinkTableNode Next
            {
                get;
                set;
            }
 
            /// <summary>
            /// 上一個節點
            /// </summary>
            public LinkTableNode Previous
            {
                get;
                set;
            }
        }
    }

 

 

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