Improve Project Euler problem 043 solution 1 (#5772)

* updating DIRECTORY.md

* Fix typo

* Improve solution

Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>

DIRECTORY.md

@@ -253,6 +253,7 @@
 
 ## Dynamic Programming
   * [Abbreviation](https://github.com/TheAlgorithms/Python/blob/master/dynamic_programming/abbreviation.py)
+  * [All Construct](https://github.com/TheAlgorithms/Python/blob/master/dynamic_programming/all_construct.py)
   * [Bitmask](https://github.com/TheAlgorithms/Python/blob/master/dynamic_programming/bitmask.py)
   * [Catalan Numbers](https://github.com/TheAlgorithms/Python/blob/master/dynamic_programming/catalan_numbers.py)
   * [Climbing Stairs](https://github.com/TheAlgorithms/Python/blob/master/dynamic_programming/climbing_stairs.py)
@@ -612,6 +613,7 @@
 
 ## Physics
   * [N Body Simulation](https://github.com/TheAlgorithms/Python/blob/master/physics/n_body_simulation.py)
+  * [Newtons Second Law Of Motion](https://github.com/TheAlgorithms/Python/blob/master/physics/newtons_second_law_of_motion.py)
 
 ## Project Euler
   * Problem 001
@@ -1018,6 +1020,7 @@
   * [Nasa Data](https://github.com/TheAlgorithms/Python/blob/master/web_programming/nasa_data.py)
   * [Random Anime Character](https://github.com/TheAlgorithms/Python/blob/master/web_programming/random_anime_character.py)
   * [Recaptcha Verification](https://github.com/TheAlgorithms/Python/blob/master/web_programming/recaptcha_verification.py)
+  * [Reddit](https://github.com/TheAlgorithms/Python/blob/master/web_programming/reddit.py)
   * [Search Books By Isbn](https://github.com/TheAlgorithms/Python/blob/master/web_programming/search_books_by_isbn.py)
   * [Slack Message](https://github.com/TheAlgorithms/Python/blob/master/web_programming/slack_message.py)
   * [Test Fetch Github Info](https://github.com/TheAlgorithms/Python/blob/master/web_programming/test_fetch_github_info.py)

project_euler/problem_043/sol1.py

@@ -33,9 +33,18 @@ def is_substring_divisible(num: tuple) -> bool:
     >>> is_substring_divisible((1, 4, 0, 6, 3, 5, 7, 2, 8, 9))
     True
     """
-    tests = [2, 3, 5, 7, 11, 13, 17]
+    if num[3] % 2 != 0:
+        return False
+
+    if (num[2] + num[3] + num[4]) % 3 != 0:
+        return False
+
+    if num[5] % 5 != 0:
+        return False
+
+    tests = [7, 11, 13, 17]
     for i, test in enumerate(tests):
-        if (num[i + 1] * 100 + num[i + 2] * 10 + num[i + 3]) % test != 0:
+        if (num[i + 4] * 100 + num[i + 5] * 10 + num[i + 6]) % test != 0:
             return False
     return True
 
@@ -43,17 +52,15 @@ def is_substring_divisible(num: tuple) -> bool:
 def solution(n: int = 10) -> int:
     """
     Returns the sum of all pandigital numbers which pass the
-    divisiility tests.
+    divisibility tests.
     >>> solution(10)
     16695334890
     """
-    list_nums = [
+    return sum(
         int("".join(map(str, num)))
         for num in permutations(range(n))
         if is_substring_divisible(num)
-    ]
+    )
-
-    return sum(list_nums)
 
 
 if __name__ == "__main__":