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_017/sol1.py

@@ -0,0 +1,63 @@
+"""
+Number letter counts
+Problem 17: https://projecteuler.net/problem=17
+
+If the numbers 1 to 5 are written out in words: one, two, three, four, five,
+then there are 3 + 3 + 5 + 4 + 4 = 19 letters used in total.
+
+If all the numbers from 1 to 1000 (one thousand) inclusive were written out in
+words, how many letters would be used?
+
+
+NOTE: Do not count spaces or hyphens. For example, 342 (three hundred and
+forty-two) contains 23 letters and 115 (one hundred and fifteen) contains 20
+letters. The use of "and" when writing out numbers is in compliance withBritish
+usage.
+"""
+
+
+def solution(n: int = 1000) -> int:
+    """Returns the number of letters used to write all numbers from 1 to n.
+    where n is lower or equals to 1000.
+    >>> solution(1000)
+    21124
+    >>> solution(5)
+    19
+    """
+    # number of letters in zero, one, two, ..., nineteen (0 for zero since it's
+    # never said aloud)
+    ones_counts = [0, 3, 3, 5, 4, 4, 3, 5, 5, 4, 3, 6, 6, 8, 8, 7, 7, 9, 8, 8]
+    # number of letters in twenty, thirty, ..., ninety (0 for numbers less than
+    # 20 due to inconsistency in teens)
+    tens_counts = [0, 0, 6, 6, 5, 5, 5, 7, 6, 6]
+
+    count = 0
+
+    for i in range(1, n + 1):
+        if i < 1000:
+            if i >= 100:
+                # add number of letters for "n hundred"
+                count += ones_counts[i // 100] + 7
+
+                if i % 100 != 0:
+                    # add number of letters for "and" if number is not multiple
+                    # of 100
+                    count += 3
+
+            if 0 < i % 100 < 20:
+                # add number of letters for one, two, three, ..., nineteen
+                # (could be combined with below if not for inconsistency in
+                # teens)
+                count += ones_counts[i % 100]
+            else:
+                # add number of letters for twenty, twenty one, ..., ninety
+                # nine
+                count += ones_counts[i % 10]
+                count += tens_counts[(i % 100 - i % 10) // 10]
+        else:
+            count += ones_counts[i // 1000] + 8
+    return count
+
+
+if __name__ == "__main__":
+    print(solution(int(input().strip())))