02.list--约瑟夫环

from fib import fib  # 参考01.线性表

def josephus_a(n, k, m):
    """
    约瑟夫环 没有人用0表示，n个人出列即结束
    :param n: 包含n个人
    :param k: 找到第k个人，从那里开始
    :param m: 数m个人(在坐的)，遇到表的末端就转回下标0继续，把表示第m个人的元素修改为0
    :return:
    """
    people = list(range(1, n + 1))
    i = k - 1  # i表示数组下标
    for num in range(n):
        count = 0
        while count < m:
            if people[i] > 0:
                count += 1
            if count == m:
                print(people[i], end='')
                people[i] = 0
            i = (i + 1) % n
        if num < n - 1:
            print(", ", end='')
        else:
            print('')
    return

def josephus_l(n, k, m):
    """
    约瑟夫环: 退出的人从表中删除
    :param n:
    :param k:
    :param m:
    :return:
    """
    people = list(range(1, n + 1))
    i = k - 1
    # num逐渐-1
    for num in range(n, 0, -1):
        i = (i + m - 1) % num
        print(people.pop(i), end=(", " if num > 1 else "\n"))
    return

class LCList(object):
    pass

class Josephus(fib.LCList):
    """基于循环单链表"""
    def turn(self, m):
        """跳转"""
        for i in range(m):
            self._rear = self._rear.next

    def __init__(self, n, k, m):
        """
        :param n: 包含n个人
        :param k: 找到第k个人，从那里开始
        :param m: 数m个人
        """
        super(Josephus, self).__init__()
        # 添加数据1～n
        for i in range(1, n + 1):
            self.append(i)
        # 从k-1开始位置
        self.turn(k - 1)
        while not self.is_empty():
            self.turn(m - 1)
            print(self.pop(), end=("\n" if self.is_empty() else ", "))

if __name__ == '__main__':
    josephus_a(5, 1, 2)
    josephus_l(5, 1, 2)
    Josephus(5, 1, 2)