directory_writer (#1)

.github/workflows/directory_writer.yml

@@ -0,0 +1,25 @@
+# The objective of this GitHub Action is to add a new DIRECTORY.md file to a pull request if needed.
+name: directory_writer
+on: [pull_request]
+jobs:
+  build:
+    runs-on: ubuntu-latest
+    strategy:
+      max-parallel: 1
+      matrix:
+        python-version: [3.7]
+    steps:
+
+      - uses: actions/checkout@v1
+      - name: Set up Python ${{ matrix.python-version }}
+        uses: actions/setup-python@v1
+        with:
+          python-version: ${{ matrix.python-version }}
+      - name: Update DIRECTORY.md
+        run: |
+          scripts/build_directory_md.py 2>&1 | tee DIRECTORY.md
+          git config --global user.name 'directory_writer'
+          git config --global user.email '[email protected]'
+          git remote set-url origin https://x-access-token:${{ secrets.gh_token }}@github.com/$GITHUB_REPOSITORY
+          git checkout $GITHUB_HEAD_REF
+          if git diff-files --quiet; then echo 0; else git commit -am "fixup: DIRECTORY.md" && git push; fi

DIRECTORY.md

@@ -8,6 +8,7 @@
   * [Newton Forward Interpolation](https://github.com/TheAlgorithms/Python/blob/master/arithmetic_analysis/newton_forward_interpolation.py)
   * [Newton Method](https://github.com/TheAlgorithms/Python/blob/master/arithmetic_analysis/newton_method.py)
   * [Newton Raphson Method](https://github.com/TheAlgorithms/Python/blob/master/arithmetic_analysis/newton_raphson_method.py)
+  * [Secant Method](https://github.com/TheAlgorithms/Python/blob/master/arithmetic_analysis/secant_method.py)
 
 ## Backtracking
   * [All Combinations](https://github.com/TheAlgorithms/Python/blob/master/backtracking/all_combinations.py)
@@ -36,8 +37,11 @@
   * [Brute Force Caesar Cipher](https://github.com/TheAlgorithms/Python/blob/master/ciphers/brute_force_caesar_cipher.py)
   * [Caesar Cipher](https://github.com/TheAlgorithms/Python/blob/master/ciphers/caesar_cipher.py)
   * [Cryptomath Module](https://github.com/TheAlgorithms/Python/blob/master/ciphers/cryptomath_module.py)
+  * [Deterministic Miller Rabin](https://github.com/TheAlgorithms/Python/blob/master/ciphers/deterministic_miller_rabin.py)
+  * [Diffie](https://github.com/TheAlgorithms/Python/blob/master/ciphers/diffie.py)
   * [Elgamal Key Generator](https://github.com/TheAlgorithms/Python/blob/master/ciphers/elgamal_key_generator.py)
   * [Hill Cipher](https://github.com/TheAlgorithms/Python/blob/master/ciphers/hill_cipher.py)
+  * [Mixed Keyword Cypher](https://github.com/TheAlgorithms/Python/blob/master/ciphers/mixed_keyword_cypher.py)
   * [Morse Code Implementation](https://github.com/TheAlgorithms/Python/blob/master/ciphers/morse_code_implementation.py)
   * [Onepad Cipher](https://github.com/TheAlgorithms/Python/blob/master/ciphers/onepad_cipher.py)
   * [Playfair Cipher](https://github.com/TheAlgorithms/Python/blob/master/ciphers/playfair_cipher.py)
@@ -71,6 +75,7 @@
     * [Fenwick Tree](https://github.com/TheAlgorithms/Python/blob/master/data_structures/binary_tree/fenwick_tree.py)
     * [Lazy Segment Tree](https://github.com/TheAlgorithms/Python/blob/master/data_structures/binary_tree/lazy_segment_tree.py)
     * [Lca](https://github.com/TheAlgorithms/Python/blob/master/data_structures/binary_tree/lca.py)
+    * [Non Recursive Segment Tree](https://github.com/TheAlgorithms/Python/blob/master/data_structures/binary_tree/non_recursive_segment_tree.py)
     * [Red Black Tree](https://github.com/TheAlgorithms/Python/blob/master/data_structures/binary_tree/red_black_tree.py)
     * [Segment Tree](https://github.com/TheAlgorithms/Python/blob/master/data_structures/binary_tree/segment_tree.py)
     * [Treap](https://github.com/TheAlgorithms/Python/blob/master/data_structures/binary_tree/treap.py)
@@ -149,6 +154,7 @@
   * [Longest Sub Array](https://github.com/TheAlgorithms/Python/blob/master/dynamic_programming/longest_sub_array.py)
   * [Matrix Chain Order](https://github.com/TheAlgorithms/Python/blob/master/dynamic_programming/matrix_chain_order.py)
   * [Max Sub Array](https://github.com/TheAlgorithms/Python/blob/master/dynamic_programming/max_sub_array.py)
+  * [Max Sum Contigous Subsequence](https://github.com/TheAlgorithms/Python/blob/master/dynamic_programming/max_sum_contigous_subsequence.py)
   * [Minimum Partition](https://github.com/TheAlgorithms/Python/blob/master/dynamic_programming/minimum_partition.py)
   * [Rod Cutting](https://github.com/TheAlgorithms/Python/blob/master/dynamic_programming/rod_cutting.py)
   * [Subset Generation](https://github.com/TheAlgorithms/Python/blob/master/dynamic_programming/subset_generation.py)
@@ -228,13 +234,16 @@
   * [Abs Min](https://github.com/TheAlgorithms/Python/blob/master/maths/abs_min.py)
   * [Average Mean](https://github.com/TheAlgorithms/Python/blob/master/maths/average_mean.py)
   * [Average Median](https://github.com/TheAlgorithms/Python/blob/master/maths/average_median.py)
+  * [Average Mode](https://github.com/TheAlgorithms/Python/blob/master/maths/average_mode.py)
   * [Basic Maths](https://github.com/TheAlgorithms/Python/blob/master/maths/basic_maths.py)
   * [Binary Exponentiation](https://github.com/TheAlgorithms/Python/blob/master/maths/binary_exponentiation.py)
+  * [Binomial Coefficient](https://github.com/TheAlgorithms/Python/blob/master/maths/binomial_coefficient.py)
   * [Collatz Sequence](https://github.com/TheAlgorithms/Python/blob/master/maths/collatz_sequence.py)
   * [Explicit Euler](https://github.com/TheAlgorithms/Python/blob/master/maths/explicit_euler.py)
   * [Extended Euclidean Algorithm](https://github.com/TheAlgorithms/Python/blob/master/maths/extended_euclidean_algorithm.py)
   * [Factorial Python](https://github.com/TheAlgorithms/Python/blob/master/maths/factorial_python.py)
   * [Factorial Recursive](https://github.com/TheAlgorithms/Python/blob/master/maths/factorial_recursive.py)
+  * [Factors](https://github.com/TheAlgorithms/Python/blob/master/maths/factors.py)
   * [Fermat Little Theorem](https://github.com/TheAlgorithms/Python/blob/master/maths/fermat_little_theorem.py)
   * [Fibonacci](https://github.com/TheAlgorithms/Python/blob/master/maths/fibonacci.py)
   * [Fibonacci Sequence Recursion](https://github.com/TheAlgorithms/Python/blob/master/maths/fibonacci_sequence_recursion.py)
@@ -257,9 +266,11 @@
   * [Mobius Function](https://github.com/TheAlgorithms/Python/blob/master/maths/mobius_function.py)
   * [Modular Exponential](https://github.com/TheAlgorithms/Python/blob/master/maths/modular_exponential.py)
   * [Newton Raphson](https://github.com/TheAlgorithms/Python/blob/master/maths/newton_raphson.py)
+  * [Perfect Square](https://github.com/TheAlgorithms/Python/blob/master/maths/perfect_square.py)
   * [Polynomial Evaluation](https://github.com/TheAlgorithms/Python/blob/master/maths/polynomial_evaluation.py)
   * [Prime Check](https://github.com/TheAlgorithms/Python/blob/master/maths/prime_check.py)
   * [Prime Factors](https://github.com/TheAlgorithms/Python/blob/master/maths/prime_factors.py)
+  * [Prime Numbers](https://github.com/TheAlgorithms/Python/blob/master/maths/prime_numbers.py)
   * [Prime Sieve Eratosthenes](https://github.com/TheAlgorithms/Python/blob/master/maths/prime_sieve_eratosthenes.py)
   * [Qr Decomposition](https://github.com/TheAlgorithms/Python/blob/master/maths/qr_decomposition.py)
   * [Quadratic Equations Complex Numbers](https://github.com/TheAlgorithms/Python/blob/master/maths/quadratic_equations_complex_numbers.py)
@@ -293,6 +304,8 @@
 ## Neural Network
   * [Back Propagation Neural Network](https://github.com/TheAlgorithms/Python/blob/master/neural_network/back_propagation_neural_network.py)
   * [Convolution Neural Network](https://github.com/TheAlgorithms/Python/blob/master/neural_network/convolution_neural_network.py)
+  * [Gan](https://github.com/TheAlgorithms/Python/blob/master/neural_network/gan.py)
+  * [Input Data](https://github.com/TheAlgorithms/Python/blob/master/neural_network/input_data.py)
   * [Perceptron](https://github.com/TheAlgorithms/Python/blob/master/neural_network/perceptron.py)
 
 ## Other
@@ -309,12 +322,14 @@
   * [Game Of Life](https://github.com/TheAlgorithms/Python/blob/master/other/game_of_life.py)
   * [Greedy](https://github.com/TheAlgorithms/Python/blob/master/other/greedy.py)
   * [Largest Subarray Sum](https://github.com/TheAlgorithms/Python/blob/master/other/largest_subarray_sum.py)
+  * [Least Recently Used](https://github.com/TheAlgorithms/Python/blob/master/other/least_recently_used.py)
   * [Linear Congruential Generator](https://github.com/TheAlgorithms/Python/blob/master/other/linear_congruential_generator.py)
   * [Magicdiamondpattern](https://github.com/TheAlgorithms/Python/blob/master/other/magicdiamondpattern.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)
   * [Primelib](https://github.com/TheAlgorithms/Python/blob/master/other/primelib.py)
+  * [Sdes](https://github.com/TheAlgorithms/Python/blob/master/other/sdes.py)
   * [Sierpinski Triangle](https://github.com/TheAlgorithms/Python/blob/master/other/sierpinski_triangle.py)
   * [Tower Of Hanoi](https://github.com/TheAlgorithms/Python/blob/master/other/tower_of_hanoi.py)
   * [Two Sum](https://github.com/TheAlgorithms/Python/blob/master/other/two_sum.py)
@@ -390,6 +405,7 @@
     * [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_20/sol1.py)
     * [Sol2](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_20/sol2.py)
     * [Sol3](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_20/sol3.py)
+    * [Sol4](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_20/sol4.py)
   * Problem 21
     * [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_21/sol1.py)
   * Problem 22
@@ -404,6 +420,9 @@
   * Problem 25
     * [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_25/sol1.py)
     * [Sol2](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_25/sol2.py)
+    * [Sol3](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_25/sol3.py)
+  * Problem 27
+    * [Problem 27 Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_27/problem_27_sol1.py)
   * Problem 28
     * [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_28/sol1.py)
   * Problem 29
@@ -412,6 +431,8 @@
     * [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_31/sol1.py)
   * Problem 32
     * [Sol32](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_32/sol32.py)
+  * Problem 33
+    * [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_33/sol1.py)
   * Problem 36
     * [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_36/sol1.py)
   * Problem 40
@@ -432,6 +453,8 @@
     * [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_67/sol1.py)
   * Problem 76
     * [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_76/sol1.py)
+  * Problem 99
+    * [Sol1](https://github.com/TheAlgorithms/Python/blob/master/project_euler/problem_99/sol1.py)
 
 ## Searches
   * [Binary Search](https://github.com/TheAlgorithms/Python/blob/master/searches/binary_search.py)
@@ -471,6 +494,7 @@
   * [Radix Sort](https://github.com/TheAlgorithms/Python/blob/master/sorts/radix_sort.py)
   * [Random Normal Distribution Quicksort](https://github.com/TheAlgorithms/Python/blob/master/sorts/random_normal_distribution_quicksort.py)
   * [Random Pivot Quick Sort](https://github.com/TheAlgorithms/Python/blob/master/sorts/random_pivot_quick_sort.py)
+  * [Recursive-Quick-Sort](https://github.com/TheAlgorithms/Python/blob/master/sorts/recursive-quick-sort.py)
   * [Selection Sort](https://github.com/TheAlgorithms/Python/blob/master/sorts/selection_sort.py)
   * [Shell Sort](https://github.com/TheAlgorithms/Python/blob/master/sorts/shell_sort.py)
   * [Stooge Sort](https://github.com/TheAlgorithms/Python/blob/master/sorts/stooge_sort.py)
@@ -494,3 +518,4 @@
 
 ## Web Programming
   * [Crawl Google Results](https://github.com/TheAlgorithms/Python/blob/master/web_programming/crawl_google_results.py)
+  * [Get Imdbtop](https://github.com/TheAlgorithms/Python/blob/master/web_programming/get_imdbtop.py)

ciphers/deterministic_miller_rabin.py

@@ -41,19 +41,21 @@ def miller_rabin(n, allow_probable=False):
             "A return value of True indicates a probable prime."
         )
     # array bounds provided by analysis
-    bounds = [2_047,
-              1_373_653,
-              25_326_001,
-              3_215_031_751,
-              2_152_302_898_747,
-              3_474_749_660_383,
-              341_550_071_728_321,
-              1,
-              3_825_123_056_546_413_051,
-              1,
-              1,
-              318_665_857_834_031_151_167_461,
-              3_317_044_064_679_887_385_961_981]
+    bounds = [
+        2_047,
+        1_373_653,
+        25_326_001,
+        3_215_031_751,
+        2_152_302_898_747,
+        3_474_749_660_383,
+        341_550_071_728_321,
+        1,
+        3_825_123_056_546_413_051,
+        1,
+        1,
+        318_665_857_834_031_151_167_461,
+        3_317_044_064_679_887_385_961_981,
+    ]
 
     primes = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41]
     for idx, _p in enumerate(bounds, 1):
@@ -131,5 +133,5 @@ def test_miller_rabin():
     # upper limit for probabilistic test
 
 
-if __name__ == '__main__':
+if __name__ == "__main__":
     test_miller_rabin()

ciphers/diffie.py

@@ -1,8 +1,8 @@
 def find_primitive(n):
     for r in range(1, n):
         li = []
-        for x in range(n-1):
-            val = pow(r,x,n)
+        for x in range(n - 1):
+            val = pow(r, x, n)
             if val in li:
                 break
             li.append(val)
@@ -11,16 +11,15 @@ def find_primitive(n):
 
 
 if __name__ == "__main__":
-    q = int(input('Enter a prime number q: '))
+    q = int(input("Enter a prime number q: "))
     a = find_primitive(q)
-    a_private = int(input('Enter private key of A: '))
+    a_private = int(input("Enter private key of A: "))
     a_public = pow(a, a_private, q)
-    b_private = int(input('Enter private key of B: '))
+    b_private = int(input("Enter private key of B: "))
     b_public = pow(a, b_private, q)
 
     a_secret = pow(b_public, a_private, q)
     b_secret = pow(a_public, b_private, q)
 
-    print('The key value generated by A is: ', a_secret)
-    print('The key value generated by B is: ', b_secret)
-
+    print("The key value generated by A is: ", a_secret)
+    print("The key value generated by B is: ", b_secret)

data_structures/binary_tree/basic_binary_tree.py

@@ -22,7 +22,7 @@ def display(tree):  # In Order traversal of the tree
 
 
 def depth_of_tree(
-    tree
+    tree,
 ):  # This is the recursive function to find the depth of binary tree.
     if tree is None:
         return 0
@@ -36,7 +36,7 @@ def depth_of_tree(
 
 
 def is_full_binary_tree(
-    tree
+    tree,
 ):  # This functions returns that is it full binary tree or not?
     if tree is None:
         return True

data_structures/binary_tree/treap.py

@@ -172,7 +172,6 @@ def main():
         args = input()
 
     print("good by!")
-
 
 
 if __name__ == "__main__":

data_structures/heap/min_heap.py

@@ -77,9 +77,10 @@ def sift_down(self, idx, array):
 
             if smallest != idx:
                 array[idx], array[smallest] = array[smallest], array[idx]
-                self.idx_of_element[array[idx]], self.idx_of_element[
-                    array[smallest]
-                ] = (
+                (
+                    self.idx_of_element[array[idx]],
+                    self.idx_of_element[array[smallest]],
+                ) = (
                     self.idx_of_element[array[smallest]],
                     self.idx_of_element[array[idx]],
                 )

data_structures/linked_list/doubly_linked_list.py

@@ -23,9 +23,7 @@ def insertHead(self, x):
     def deleteHead(self):
         temp = self.head
         self.head = self.head.next  # oldHead <--> 2ndElement(head)
-        self.head.previous = (
-            None
-        )  # oldHead --> 2ndElement(head) nothing pointing at it so the old head will be removed
+        self.head.previous = None  # oldHead --> 2ndElement(head) nothing pointing at it so the old head will be removed
         if self.head is None:
             self.tail = None  # if empty linked list
         return temp

dynamic_programming/longest_increasing_subsequence_o(nlogn).py

@@ -6,6 +6,7 @@
 #############################
 from typing import List
 
+
 def CeilIndex(v, l, r, key):
     while r - l > 1:
         m = (l + r) // 2
@@ -49,4 +50,5 @@ def LongestIncreasingSubsequenceLength(v: List[int]) -> int:
 
 if __name__ == "__main__":
     import doctest
+
     doctest.testmod()

dynamic_programming/max_sub_array.py

@@ -75,6 +75,7 @@ def max_sub_array(nums: List[int]) -> int:
     import time
     import matplotlib.pyplot as plt
     from random import randint
+
     inputs = [10, 100, 1000, 10000, 50000, 100000, 200000, 300000, 400000, 500000]
     tim = []
     for i in inputs:

file_transfer/send_file.py

@@ -2,8 +2,8 @@
     import socket  # Import socket module
 
     ONE_CONNECTION_ONLY = (
-        True
-    )  # Set this to False if you wish to continuously accept connections
+        True  # Set this to False if you wish to continuously accept connections
+    )
 
     filename = "mytext.txt"
     port = 12312  # Reserve a port for your service.

maths/factorial_python.py

@@ -28,7 +28,7 @@ def factorial(input_number: int) -> int:
     return result
 
 
-if __name__ == '__main__':
+if __name__ == "__main__":
     import doctest
 
     doctest.testmod()

maths/factorial_recursive.py

@@ -24,7 +24,7 @@ def factorial(n: int) -> int:
     return 1 if n == 0 or n == 1 else n * factorial(n - 1)
 
 
-if __name__ == '__main__':
+if __name__ == "__main__":
     import doctest
 
     doctest.testmod()

maths/gaussian.py

@@ -50,7 +50,7 @@ def gaussian(x, mu: float = 0.0, sigma: float = 1.0) -> int:
     >>> gaussian(2523, mu=234234, sigma=3425)
     0.0
   """
-    return 1 / sqrt(2 * pi * sigma ** 2) * exp(-(x - mu) ** 2 / 2 * sigma ** 2)
+    return 1 / sqrt(2 * pi * sigma ** 2) * exp(-((x - mu) ** 2) / 2 * sigma ** 2)
 
 
 if __name__ == "__main__":

maths/perfect_square.py

@@ -21,7 +21,7 @@ def perfect_square(num: int) -> bool:
     return math.sqrt(num) * math.sqrt(num) == num
 
 
-if __name__ == '__main__':
+if __name__ == "__main__":
     import doctest
 
     doctest.testmod()