Rename Project Euler directories and other dependent changes (#3300)

* Rename all Project Euler directories:

Reason:
The change was done to maintain consistency throughout the directory
and to keep all directories in sorted order.

Due to the above change, some config files had to be modified:
'problem_22` -> `problem_022`

* Update scripts to pad zeroes in PE directories

project_euler/problem_010/sol3.py

@@ -0,0 +1,57 @@
+"""
+https://projecteuler.net/problem=10
+
+Problem Statement:
+The sum of the primes below 10 is 2 + 3 + 5 + 7 = 17.
+
+Find the sum of all the primes below two million.
+"""
+
+
+def solution(n: int = 2000000) -> int:
+    """Returns the sum of all the primes below n using Sieve of Eratosthenes:
+
+    https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes
+    The sieve of Eratosthenes is one of the most efficient ways to find all primes
+    smaller than n when n is smaller than 10 million.  Only for positive numbers.
+
+    >>> solution(2_000_000)
+    142913828922
+    >>> solution(1_000)
+    76127
+    >>> solution(5_000)
+    1548136
+    >>> solution(10_000)
+    5736396
+    >>> solution(7)
+    10
+    >>> solution(7.1)  # doctest: +ELLIPSIS
+    Traceback (most recent call last):
+    ...
+    TypeError: 'float' object cannot be interpreted as an integer
+    >>> solution(-7)  # doctest: +ELLIPSIS
+    Traceback (most recent call last):
+    ...
+    IndexError: list assignment index out of range
+    >>> solution("seven")  # doctest: +ELLIPSIS
+    Traceback (most recent call last):
+    ...
+    TypeError: can only concatenate str (not "int") to str
+    """
+    primality_list = [0 for i in range(n + 1)]
+    primality_list[0] = 1
+    primality_list[1] = 1
+
+    for i in range(2, int(n ** 0.5) + 1):
+        if primality_list[i] == 0:
+            for j in range(i * i, n + 1, i):
+                primality_list[j] = 1
+    sum_of_primes = 0
+    for i in range(n):
+        if primality_list[i] == 0:
+            sum_of_primes += i
+    return sum_of_primes
+
+
+if __name__ == "__main__":
+    print(solution(int(input().strip())))