275. H-Index II 递增排序后的论文引用量

275. H-Index II 递增排序后的论文引用量

[抄题]:

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

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 hcitations each."

Example:

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

 [暴力解法]:

时间分析:

空间分析:

 [优化后]:

时间分析:

空间分析:

[奇葩输出条件]:

[奇葩corner case]:

[思维问题]:

从后往前积累的count = length - 从前往后的index

[一句话思路]:

甚至都不知道排序之后要用二分法,算是积累经验了

[输入量]:空: 正常情况:特大:特小:程序里处理到的特殊情况:异常情况(不合法不合理的输入):

[画图]:

275. H-Index II 递增排序后的论文引用量

[一刷]:

  1. 明确这道题需要找的target: len - index代表文章数量
  2. 还是只有if elseif else的结构才是完整的

[二刷]:

[三刷]:

[四刷]:

[五刷]:

  [五分钟肉眼debug的结果]:

[总结]:

排序之后要用二分法

[复杂度]:Time complexity: O(lgn) Space complexity: O(n)

[英文数据结构或算法,为什么不用别的数据结构或算法]:

[算法思想:递归/分治/贪心]:

[关键模板化代码]:

非九章还加了等号,感觉就是因题目而异吧

while (lo <= hi) {
        int med = (hi + lo) / 2;

[其他解法]:

[Follow Up]:

[LC给出的题目变变变]:

 [代码风格] :

class Solution {
    public int hIndex(int[] citations) {
        //cc
        if (citations == null || citations.length == 0) return 0; 
        
        //ini: length
        int n = citations.length, start = 0, end = n - 1;
        
        //for loop
        while (start <= end) {
            int mid = (end + start) / 2;
            if (citations[mid] == n - mid) return n - mid;
            else if (citations[mid] > n - mid) end = mid - 1;
            else start = mid + 1;
        }
        
        return n - start;
    }
}
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