h index leetcode 274 arrays strings python

the h-index is a metric used to evaluate the productivity and citation impact of a researcher's publications. the h-index is defined as follows: a researcher has an h-index of `h` if `h` of their `n` papers have at least `h` citations each, and the other `n - h` papers have no more than `h` citations each.

problem statement (leetcode 274)

you are given an array of integers `citations` where each integer represents the number of citations a paper has received. you need to compute the h-index for the given list.

example

steps to solve the problem

1. **sort the array**: start by sorting the `citations` array in non-decreasing order.

2. **determine h-index**: iterate through the sorted array and for each paper, check if the number of citations is at least equal to its position in the sorted array (considering 1-based indexing).

3. **return the maximum h-index**: the maximum value that satisfies the h-index condition will be your result.

code implementation

here is a python implementation of the above logic:

explanation of the code

2. **finding h-index**: the loop iterates through the sorted `citations` list. for each index `i`, it checks if `citations[i]` (the number of citations for the paper at position `i`) is greater than or equal to `i + 1` (the number of papers being considered). if this condition is true, it means at least `i + 1` papers have at least `i + 1` citations.

3. **update h-index**: the `h_index` variable is updated to `i + 1` whenever the condition is met.

time complexity
- the time complexity of this solution is \(o(n \log n)\) due to the sorting step, where \(n\) is the number of citations.

space complexity
- the space complexity is \(o(1)\) since we are sorting the array in place and using only a constant amount of extra space.

this implementation provides a clear and ...

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