diff --git a/.aoc_tiles/tiles/2024/19.png b/.aoc_tiles/tiles/2024/19.png
index 50d74c1..9f65281 100644
Binary files a/.aoc_tiles/tiles/2024/19.png and b/.aoc_tiles/tiles/2024/19.png differ
diff --git a/2024/19/script.py b/2024/19/script.py
index 485bc25..41adc04 100644
--- a/2024/19/script.py
+++ b/2024/19/script.py
@@ -3,20 +3,16 @@
 
 
 @cache
-def validate(design: str, patterns: frozenset[str]) -> bool:
-    if design in patterns:
-        return True
-    else:
-        # try all splits
-        valid = False
-        for i in range(1, len(design)):
-            if aoc.args.verbose:
-                print(f" trying {design[:i]}-{design[i:]}")
-            valid = validate(design[:i], patterns) and validate(design[i:], patterns)
-            if valid:
-                return True
-
-    return False
+def validate(design: str, patterns: frozenset[str]) -> int:
+    # if there's nothing left of the design after recursively slicing patterns from it,
+    # we found a valid arrangement. return 1 to count it in our sum of all arrangements
+    if not design:
+        return 1
+
+    # try removing all patterns from the start of the design,
+    # then recursively do that for each remaining segment of the design
+    return sum(validate(design[len(pattern):], patterns)
+               for pattern in patterns if design[:len(pattern)] == pattern)
 
 
 def main():
@@ -25,19 +21,23 @@ def main():
     designs = designs.splitlines()
 
     valid = 0
+    total_arrangements = 0
     for design in designs:
-        if validate(design, patterns):
+        arrangements = validate(design, patterns)
+        if arrangements:
             if aoc.args.verbose or aoc.args.progress:
-                print(f"1 - {design}")
+                print(f"1 - {design} - {arrangements}")
             valid += 1
+            total_arrangements += arrangements
         else:
             if aoc.args.verbose or aoc.args.progress:
                 print(f"0 - {design}")
 
-    if aoc.args.progress:
-        print(f"cache: {validate.cache_info().hits} hits, {validate.cache_info().misses} misses")
+    if aoc.args.verbose or aoc.args.progress:
+        print(f"validate() {validate.cache_info()}")
 
     print(f"p1: {valid}")
+    print(f"p2: {total_arrangements}")
 
 
 if __name__ == "__main__":
diff --git a/README.md b/README.md
index 643ab02..0706a66 100644
--- a/README.md
+++ b/README.md
@@ -3,10 +3,10 @@ My solutions to the yearly Advents of Code
 
 <!-- AOC TILES BEGIN -->
 <h1 align="center">
-  Advent of Code - 196/488 ⭐
+  Advent of Code - 197/488 ⭐
 </h1>
 <h1 align="center">
-  2024 - 35 ⭐ - Python
+  2024 - 36 ⭐ - Python
 </h1>
 <a href="2024/1/script.py">
   <img src=".aoc_tiles/tiles/2024/01.png" width="161px">