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Added all sub sequence type hints [Hacktober Fest] (#3123)

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* updating DIRECTORY.md

* chore(all-subsequence): added type hints [HACKTOBER-FEST]

* updating DIRECTORY.md

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Tapajyoti Bose 2020-10-10 11:49:36 +05:30 committed by GitHub
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9
DIRECTORY.md
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@ -473,6 +473,7 @@
* [Binary Exponentiation 2](https://github.com/TheAlgorithms/Python/blob/master/other/binary_exponentiation_2.py)
* [Detecting English Programmatically](https://github.com/TheAlgorithms/Python/blob/master/other/detecting_english_programmatically.py)
* [Dijkstra Bankers Algorithm](https://github.com/TheAlgorithms/Python/blob/master/other/dijkstra_bankers_algorithm.py)
* [Doomsday](https://github.com/TheAlgorithms/Python/blob/master/other/doomsday.py)
* [Euclidean Gcd](https://github.com/TheAlgorithms/Python/blob/master/other/euclidean_gcd.py)
* [Fischer Yates Shuffle](https://github.com/TheAlgorithms/Python/blob/master/other/fischer_yates_shuffle.py)
* [Frequency Finder](https://github.com/TheAlgorithms/Python/blob/master/other/frequency_finder.py)
@ -487,6 +488,7 @@
* [Lru Cache](https://github.com/TheAlgorithms/Python/blob/master/other/lru_cache.py)
* [Magicdiamondpattern](https://github.com/TheAlgorithms/Python/blob/master/other/magicdiamondpattern.py)
* [Markov Chain](https://github.com/TheAlgorithms/Python/blob/master/other/markov_chain.py)
* [Max Sum Sliding Window](https://github.com/TheAlgorithms/Python/blob/master/other/max_sum_sliding_window.py)
* [Nested Brackets](https://github.com/TheAlgorithms/Python/blob/master/other/nested_brackets.py)
* [Palindrome](https://github.com/TheAlgorithms/Python/blob/master/other/palindrome.py)
* [Password Generator](https://github.com/TheAlgorithms/Python/blob/master/other/password_generator.py)
@ -529,7 +531,6 @@
* [Sol2](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_06/sol2.py)
* [Sol3](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_06/sol3.py)
* [Sol4](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_06/sol4.py)
* [Test Solutions](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_06/test_solutions.py)
* Problem 07
* [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_07/sol1.py)
* [Sol2](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_07/sol2.py)
@ -595,11 +596,11 @@
* Problem 26
* [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_26/sol1.py)
* Problem 27
* [Problem 27 Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_27/problem_27_sol1.py)
* [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_27/sol1.py)
* Problem 28
* [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_28/sol1.py)
* Problem 29
* [Solution](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_29/solution.py)
* [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_29/sol1.py)
* Problem 30
* [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_30/sol1.py)
* Problem 31
@ -656,6 +657,8 @@
* [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_63/sol1.py)
* Problem 67
* [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_67/sol1.py)
* Problem 71
* [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_71/sol1.py)
* Problem 76
* [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_76/sol1.py)
* Problem 97

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backtracking/all_subsequences.py
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@ -1,3 +1,5 @@
from typing import Any, List
"""
In this problem, we want to determine all possible subsequences
of the given sequence. We use backtracking to solve this problem.
@ -7,11 +9,13 @@
"""
def generate_all_subsequences(sequence):
def generate_all_subsequences(sequence: List[Any]) -> None:
create_state_space_tree(sequence, [], 0)
def create_state_space_tree(sequence, current_subsequence, index):
def create_state_space_tree(
sequence: List[Any], current_subsequence: List[Any], index: int
) -> None:
"""
Creates a state space tree to iterate through each branch using DFS.
We know that each state has exactly two children.