[Swift]LeetCode275. H指数 II | H-Index II

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Given an array of citations sorted in ascending order (each citation is a non-negative integer) of a researcher, write a function to compute the researcher's h-index.git

According to the definition of h-index on Wikipedia: "A scientist has index h if h of his/her N papers have at least h citations each, and the other N − h papers have no more than citations each."github

Example:算法

Input: 
Output: 3 
Explanation: means the researcher has  papers in total and each of them had 
             received 0 citations respectively. 
             Since the researcher has  papers with at least  citations each and the remaining 
             two with no more than  citations each, her h-index is .citations = [0,1,3,5,6][0,1,3,5,6]5, 1, 3, 5, 63333

Note:数组

If there are several possible values for h, the maximum one is taken as the h-index.微信

Follow up:优化

  • This is a follow up problem to H-Index, where citations is now guaranteed to be sorted in ascending order.
  • Could you solve it in logarithmic time complexity?

给定一位研究者论文被引用次数的数组(被引用次数是非负整数),数组已经按照升序排列。编写一个方法,计算出研究者的 h 指数。spa

h 指数的定义: “h 表明“高引用次数”(high citations),一名科研人员的 h 指数是指他(她)的 (N 篇论文中)至多有 h 篇论文分别被引用了至少 h 次。(其他的 N - h 篇论文每篇被引用次数很少于 次。)"code

示例:htm

输入: 
输出: 3 
解释: 给定数组表示研究者总共有  篇论文,每篇论文相应的被引用了 0 次。
     因为研究者有 篇论文每篇至少被引用了  次,其他两篇论文每篇被引用很少于  次,因此她的 h 指数是 。citations = [0,1,3,5,6]5, 1, 3, 5, 63333

说明:

若是 有多有种可能的值 ,h 指数是其中最大的那个。

进阶:

  • 这是 H指数 的延伸题目,本题中的 citations 数组是保证有序的。
  • 你能够优化你的算法到对数时间复杂度吗?

208ms

 1 class Solution {
 2     func hIndex(_ citations: [Int]) -> Int {
 3         let count = citations.count
 4         var left = 0, right = count - 1
 5         while left <= right {
 6             let mid = (left + right) / 2
 7             if citations[mid] == count - mid {
 8                 return count - mid
 9             }else if citations[mid] > count - mid {
10                 right = mid - 1
11             }else {
12                 left = mid + 1
13             }
14         }
15         
16         return count - left
17     }
18 }

232ms

 1 class Solution {
 2     func hIndex(_ citations: [Int]) -> Int {
 3         guard citations.count > 0 else {
 4             return 0
 5         }
 6         for (index,value) in citations.enumerated() {
 7             if value >= (citations.count - index){
 8                 return citations.count - index
 9             }
10         }
11         return 0
12     }
13 }
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