1 files changed, 31 insertions, 0 deletions
diff --git a/12.py b/12.py
new file mode 100644
index 0000000..f471e07
--- /dev/null
+++ b/12.py
@@ -0,0 +1,31 @@
+from functools import cache
+from collections import defaultdict
+from utils import open_day
+
+adj = defaultdict(set)
+
+with open_day(12) as f:
+    for l in f:
+        a, b = l.rstrip().split('-')
+        adj[a].add(b)
+        adj[b].add(a)
+
+def count_paths(look_twice=False):
+    @cache
+    def f(node, seen, saw_once=None):
+        def descend(node, seen, saw_once):
+            return sum(f(n, seen, saw_once) for n in adj[node] - seen)
+        if node == 'end':
+            if saw_once is None or saw_once in seen:
+                return 1
+            return 0
+        total = 0
+        if node.islower():
+            if look_twice and saw_once is None:
+                total += descend(node, seen, node)
+            seen = seen | frozenset((node,))
+        return total + descend(node, seen, saw_once)
+    return sum(f(n, frozenset(('start',))) for n in adj['start'])
+
+print(count_paths())
+print(count_paths(True))