We are currently solving the following issue within our repository. Here is the issue text:
--- BEGIN ISSUE ---
Paths dropdown missing some parent dirs
if a dir contains only directories, not any active stores its not shown in menu (on master)

--- END ISSUE ---

Below are some code segments, each from a relevant file. One or more of these files may contain bugs.
--- BEGIN FILES ---
Path: `pootle/core/paths.py`
Content:
```
1 # -*- coding: utf-8 -*-
2 #
3 # Copyright (C) Pootle contributors.
4 #
5 # This file is a part of the Pootle project. It is distributed under the GPL3
6 # or later license. See the LICENSE file for a copy of the license and the
7 # AUTHORS file for copyright and authorship information.
8 
9 import posixpath
10 
11 from pootle.core.decorators import persistent_property
12 from pootle.core.delegate import revision
13 
14 
15 class Paths(object):
16 
17     def __init__(self, context, q, show_all=False):
18         self.context = context
19         self.q = q
20         self.show_all = show_all
21 
22     @property
23     def rev_cache_key(self):
24         return revision.get(
25             self.context.directory.__class__)(
26                 self.context.directory).get(key="stats")
27 
28     @property
29     def cache_key(self):
30         return (
31             "%s.%s.%s"
32             % (self.q,
33                self.rev_cache_key,
34                self.show_all))
35 
36     @property
37     def store_qs(self):
38         raise NotImplementedError
39 
40     @property
41     def stores(self):
42         stores = self.store_qs.exclude(obsolete=True)
43         if not self.show_all:
44             stores = stores.exclude(
45                 translation_project__project__disabled=True)
46         return stores.exclude(is_template=True).filter(
47             tp_path__contains=self.q).order_by()
48 
49     @persistent_property
50     def paths(self):
51         stores = set(
52             st[1:]
53             for st
54             in self.stores.values_list("tp_path", flat=True))
55         dirs = set(
56             ("%s/" % posixpath.dirname(path))
57             for path
58             in stores
59             if (path.count("/") > 1
60                 and self.q in path))
61         return sorted(
62             dirs | stores,
63             key=lambda path: (posixpath.dirname(path), posixpath.basename(path)))
64
```
--- END FILES ---

Please first localize the bug based on the issue statement, and then generate a patch according to the `git diff` format fenced by three backticks.

Here is an example:

```diff
diff --git a/examples/server_async.py b/examples/server_async.py
--- a/examples/server_async.py
+++ b/examples/server_async.py
@@ -313,4 +313,4 @@
 
 
 if __name__ == "__main__":
-    asyncio.run(run_async_server("."), debug=True)
+    asyncio.run(run_async_server(), debug=True)
diff --git a/examples/server_sync.py b/examples/server_sync.py
--- a/examples/server_sync.py
+++ b/examples/server_sync.py
@@ -313,5 +313,5 @@
 
 
 if __name__ == "__main__":
-    server = run_sync_server(".")
+    server = run_sync_server()
     server.shutdown()

```

diff --git a/pootle/core/paths.py b/pootle/core/paths.py
--- a/pootle/core/paths.py
+++ b/pootle/core/paths.py
@@ -6,7 +6,11 @@
 # or later license. See the LICENSE file for a copy of the license and the
 # AUTHORS file for copyright and authorship information.
 
+import pathlib
 import posixpath
+from hashlib import md5
+
+from django.utils.encoding import force_bytes
 
 from pootle.core.decorators import persistent_property
 from pootle.core.delegate import revision
@@ -29,7 +33,7 @@
     def cache_key(self):
         return (
             "%s.%s.%s"
-            % (self.q,
+            % (md5(force_bytes(self.q)).hexdigest(),
                self.rev_cache_key,
                self.show_all))
 
@@ -52,12 +56,17 @@
             st[1:]
             for st
             in self.stores.values_list("tp_path", flat=True))
-        dirs = set(
-            ("%s/" % posixpath.dirname(path))
-            for path
-            in stores
-            if (path.count("/") > 1
-                and self.q in path))
+        dirs = set()
+        for store in stores:
+            if posixpath.dirname(store) in dirs:
+                continue
+            dirs = (
+                dirs
+                | (set(
+                    "%s/" % str(p)
+                    for p
+                    in pathlib.PosixPath(store).parents
+                    if str(p) != ".")))
         return sorted(
             dirs | stores,
             key=lambda path: (posixpath.dirname(path), posixpath.basename(path)))

{"golden_diff": "diff --git a/pootle/core/paths.py b/pootle/core/paths.py\n--- a/pootle/core/paths.py\n+++ b/pootle/core/paths.py\n@@ -6,7 +6,11 @@\n # or later license. See the LICENSE file for a copy of the license and the\n # AUTHORS file for copyright and authorship information.\n \n+import pathlib\n import posixpath\n+from hashlib import md5\n+\n+from django.utils.encoding import force_bytes\n \n from pootle.core.decorators import persistent_property\n from pootle.core.delegate import revision\n@@ -29,7 +33,7 @@\n     def cache_key(self):\n         return (\n             \"%s.%s.%s\"\n-            % (self.q,\n+            % (md5(force_bytes(self.q)).hexdigest(),\n                self.rev_cache_key,\n                self.show_all))\n \n@@ -52,12 +56,17 @@\n             st[1:]\n             for st\n             in self.stores.values_list(\"tp_path\", flat=True))\n-        dirs = set(\n-            (\"%s/\" % posixpath.dirname(path))\n-            for path\n-            in stores\n-            if (path.count(\"/\") > 1\n-                and self.q in path))\n+        dirs = set()\n+        for store in stores:\n+            if posixpath.dirname(store) in dirs:\n+                continue\n+            dirs = (\n+                dirs\n+                | (set(\n+                    \"%s/\" % str(p)\n+                    for p\n+                    in pathlib.PosixPath(store).parents\n+                    if str(p) != \".\")))\n         return sorted(\n             dirs | stores,\n             key=lambda path: (posixpath.dirname(path), posixpath.basename(path)))\n", "issue": "Paths dropdown missing some parent dirs\nif a dir contains only directories, not any active stores its not shown in menu (on master)\n", "before_files": [{"content": "# -*- coding: utf-8 -*-\n#\n# Copyright (C) Pootle contributors.\n#\n# This file is a part of the Pootle project. It is distributed under the GPL3\n# or later license. See the LICENSE file for a copy of the license and the\n# AUTHORS file for copyright and authorship information.\n\nimport posixpath\n\nfrom pootle.core.decorators import persistent_property\nfrom pootle.core.delegate import revision\n\n\nclass Paths(object):\n\n    def __init__(self, context, q, show_all=False):\n        self.context = context\n        self.q = q\n        self.show_all = show_all\n\n    @property\n    def rev_cache_key(self):\n        return revision.get(\n            self.context.directory.__class__)(\n                self.context.directory).get(key=\"stats\")\n\n    @property\n    def cache_key(self):\n        return (\n            \"%s.%s.%s\"\n            % (self.q,\n               self.rev_cache_key,\n               self.show_all))\n\n    @property\n    def store_qs(self):\n        raise NotImplementedError\n\n    @property\n    def stores(self):\n        stores = self.store_qs.exclude(obsolete=True)\n        if not self.show_all:\n            stores = stores.exclude(\n                translation_project__project__disabled=True)\n        return stores.exclude(is_template=True).filter(\n            tp_path__contains=self.q).order_by()\n\n    @persistent_property\n    def paths(self):\n        stores = set(\n            st[1:]\n            for st\n            in self.stores.values_list(\"tp_path\", flat=True))\n        dirs = set(\n            (\"%s/\" % posixpath.dirname(path))\n            for path\n            in stores\n            if (path.count(\"/\") > 1\n                and self.q in path))\n        return sorted(\n            dirs | stores,\n            key=lambda path: (posixpath.dirname(path), posixpath.basename(path)))\n", "path": "pootle/core/paths.py"}], "after_files": [{"content": "# -*- coding: utf-8 -*-\n#\n# Copyright (C) Pootle contributors.\n#\n# This file is a part of the Pootle project. It is distributed under the GPL3\n# or later license. See the LICENSE file for a copy of the license and the\n# AUTHORS file for copyright and authorship information.\n\nimport pathlib\nimport posixpath\nfrom hashlib import md5\n\nfrom django.utils.encoding import force_bytes\n\nfrom pootle.core.decorators import persistent_property\nfrom pootle.core.delegate import revision\n\n\nclass Paths(object):\n\n    def __init__(self, context, q, show_all=False):\n        self.context = context\n        self.q = q\n        self.show_all = show_all\n\n    @property\n    def rev_cache_key(self):\n        return revision.get(\n            self.context.directory.__class__)(\n                self.context.directory).get(key=\"stats\")\n\n    @property\n    def cache_key(self):\n        return (\n            \"%s.%s.%s\"\n            % (md5(force_bytes(self.q)).hexdigest(),\n               self.rev_cache_key,\n               self.show_all))\n\n    @property\n    def store_qs(self):\n        raise NotImplementedError\n\n    @property\n    def stores(self):\n        stores = self.store_qs.exclude(obsolete=True)\n        if not self.show_all:\n            stores = stores.exclude(\n                translation_project__project__disabled=True)\n        return stores.exclude(is_template=True).filter(\n            tp_path__contains=self.q).order_by()\n\n    @persistent_property\n    def paths(self):\n        stores = set(\n            st[1:]\n            for st\n            in self.stores.values_list(\"tp_path\", flat=True))\n        dirs = set()\n        for store in stores:\n            if posixpath.dirname(store) in dirs:\n                continue\n            dirs = (\n                dirs\n                | (set(\n                    \"%s/\" % str(p)\n                    for p\n                    in pathlib.PosixPath(store).parents\n                    if str(p) != \".\")))\n        return sorted(\n            dirs | stores,\n            key=lambda path: (posixpath.dirname(path), posixpath.basename(path)))\n", "path": "pootle/core/paths.py"}]}