Python Challenges: Find the millionth lexicographic permutation of the digits
Python Challenges - 1: Exercise-48 with Solution
Write a Python program to find the millionth lexicographic permutation of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.
In mathematics, permutation is the act of arranging the members of a set into a sequence or order, or, if the set is already ordered, rearranging (reordering) its elements—a process called permuting. For example, 3124 is one possible permutation of the digits 1, 2, 3 and 4. If all of the permutations are listed numerically or alphabetically, we call it lexicographic order. The lexicographic permutations of 0, 1 and 2 are: 012 021 102 120 201 210
Sample Solution:
Python Code:
import itertools
array_nums = list(range(10))
temp = itertools.islice(itertools.permutations(array_nums), 999999, None)
print("".join(str(x) for x in next(temp)))
Sample Output:
2783915460
Flowchart:
Python Code Editor:
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Previous: Write a Python program to find the sum of all the positive integers which cannot be written as the sum of two abundant numbers.
Next: Write a Python program to find the index of the first term in the Fibonacci sequence to contain 500 digits.
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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
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