Python: Find the h-index, the largest positive number h such that h occurs in the sequence at least h times

Last update on May 28 2022 13:41:27 (UTC/GMT +8 hours)

Python Programming Puzzles: Exercise-49 with Solution

Write a Python program to find the h-index, the largest positive number h such that h occurs in the sequence at least h times. If there is no such positive number return h = -1.

Input:
[1, 2, 2, 3, 3, 4, 4, 4, 4]
Output:
4

Input:
[1, 2, 2, 3, 4, 5, 6]
Output:
2

Input:
[3, 1, 4, 17, 5, 17, 2, 1, 41, 32, 2, 5, 5, 5, 5]
Output:
5

Pictorial Presentation:

Python: Find the h-index, the largest positive number h such that h occurs in the sequence at least h times.

Sample Solution:

Python Code:

#License: https://bit.ly/3oLErEI

def test(nums):
    return max([-1] + [i for i in nums if i > 0 and nums.count(i) >= i])

nums =  [1, 2, 2, 3, 3, 4, 4, 4, 4]
print("Original list of numbers:")
print(nums)
print("h-index, the largest positive number h such that h occurs in the said sequence at least h times:")
print(test(nums))
nums =  [1,2,2,3,4,5,6]
print("\nOriginal list of numbers:")
print(nums)
print("h-index, the largest positive number h such that h occurs in the said sequence at least h times:")
print(test(nums))
nums = [3, 1, 4, 17, 5, 17, 2, 1, 41, 32, 2, 5, 5, 5, 5]
print("\nOriginal list of numbers:")
print(nums)
print("h-index, the largest positive number h such that h occurs in the said sequence at least h times:")
print(test(nums))

Sample Output:

Original list of numbers:
[1, 2, 2, 3, 3, 4, 4, 4, 4]
h-index, the largest positive number h such that h occurs in the said sequence at least h times:
4

Original list of numbers:
[1, 2, 2, 3, 4, 5, 6]
h-index, the largest positive number h such that h occurs in the said sequence at least h times:
2

Original list of numbers:
[3, 1, 4, 17, 5, 17, 2, 1, 41, 32, 2, 5, 5, 5, 5]
h-index, the largest positive number h such that h occurs in the said sequence at least h times:
5

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Python: Tips of the Day

Find current directory and file's directory:

To get the full path to the directory a Python file is contained in, write this in that file:

import os dir_path = os.path.dirname(os.path.realpath(__file__))

(Note that the incantation above won't work if you've already used os.chdir() to change your current working directory, since the value of the __file__ constant is relative to the current working directory and is not changed by an os.chdir() call.)

To get the current working directory use

import os cwd = os.getcwd()

Documentation references for the modules, constants and functions used above:

The os and os.path modules.

The __file__ constant

os.path.realpath(path) (returns "the canonical path of the specified filename, eliminating any symbolic links encountered in the path")

os.path.dirname(path) (returns "the directory name of pathname path")

os.getcwd() (returns "a string representing the current working directory")

os.chdir(path) ("change the current working directory to path")

Ref: https://bit.ly/3fy0R6m