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382. 链表随机节点

给定一个单链表,随机选择链表的一个节点,并返回相应的节点值。保证每个节点被选的概率一样

进阶:

如果链表十分大且长度未知,如何解决这个问题?你能否使用常数级空间复杂度实现?

示例:

// 初始化一个单链表 [1,2,3].
ListNode head = new ListNode(1);
head.next = new ListNode(2);
head.next.next = new ListNode(3);
Solution solution = new Solution(head);

// getRandom()方法应随机返回1,2,3中的一个,保证每个元素被返回的概率相等。
solution.getRandom();

题解 (Python)

1. 蓄水池抽样

# Definition for singly-linked list.
# class ListNode:
#     def __init__(self, x):
#         self.val = x
#         self.next = None

class Solution:

    def __init__(self, head: ListNode):
        """
        @param head The linked list's head.
        Note that the head is guaranteed to be not null, so it contains at least one node.
        """
        self.head = head


    def getRandom(self) -> int:
        """
        Returns a random node's value.
        """
        curr = self.head
        cnt = 0
        ret = 0

        while curr:
            cnt += 1
            if random.randint(1, cnt) == cnt:
                ret = curr.val
            curr = curr.next

        return ret


# Your Solution object will be instantiated and called as such:
# obj = Solution(head)
# param_1 = obj.getRandom()