ID | Title | Difficulty | |
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382. Linked List Random Node
Medium
LeetCode
Linked List, Math, Reservoir Sampling, Randomized
Problem
Given a singly linked list, return a random node’s value from the linked list. Each node must have the same probability of being chosen.
Example 1:
Input
["Solution", "getRandom", "getRandom", "getRandom", "getRandom", "getRandom"]
[[[1, 2, 3]], [], [], [], [], []]
Output
[null, 1, 3, 2, 2, 3]
Explanation
Solution solution = new Solution([1, 2, 3]);
solution.getRandom(); // return 1
solution.getRandom(); // return 3
solution.getRandom(); // return 2
solution.getRandom(); // return 2
solution.getRandom(); // return 3
// getRandom() should return either 1, 2, or 3 randomly. Each element should have equal probability of returning.
Follow up:
- What if the linked list is extremely large and its length is unknown to you?
- Could you solve this efficiently without using extra space?
Code
Reservoir sampling (水塘抽样)
当内存无法加载全部数据时,如何从包含未知大小的数据流中随机选取 k 个数据,并且要保证每个数据被抽取到的概率相等
class Solution {
ListNode head;
Random rand;
public Solution(ListNode head) {
this.head = head;
rand = new Random();
}
public int getRandom() {
ListNode temp = head;
int selected = -1;
int i = 1;
while(temp != null){
if(rand.nextFloat() < 1.0 / i){
selected = temp.val;
}
temp = temp.next;
i++;
}
return selected;
}
}
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383. Ransom Note