Palindrome-Partitioning: Added memoization

Palindrome-Partitioning/cs412_palindrome_count_bt.py

@@ -1,11 +1,11 @@
 """
-    name: Nicholas Tamassia
+name: Nicholas Tamassia
 
-    Honor Code and Acknowledgments:
+Honor Code and Acknowledgments:
 
-            This work complies with the JMU Honor Code.
+        This work complies with the JMU Honor Code.
 
-           Comments here on your code and submission.
+       Comments here on your code and submission.
 """
 
 
@@ -14,19 +14,30 @@ def is_palindrome(s: str) -> bool:
 
 
 def palindrome_partitions(s: str) -> int:
-    if len(s) == 0:
-        return 1
 
-    sum = 0
+    memo: dict[str, int] = {}
 
-    for i in range(1, len(s) + 1):
-        left = s[:i]
-        right = s[i:]
+    def recurse(s: str) -> int:
+        nonlocal memo
 
-        if is_palindrome(left):
-            sum += palindrome_partitions(right)
+        if len(s) == 0:
+            return 1
 
-    return sum
+        sum = 0
+
+        for i in range(1, len(s) + 1):
+            left: str = s[:i]
+            right: str = s[i:]
+
+            if is_palindrome(left):
+                if right not in memo:
+                    memo[right] = palindrome_partitions(right)
+
+                sum += memo[right]
+
+        return sum
+
+    return recurse(s)
 
 
 # All modules for CS 412 must include a main method that allows it