prompt: We are currently solving the following issue within our repository. Here is the issue text:
  --- BEGIN ISSUE ---
  Render arbitrary keys of components inside dictionaries.
  It should be possible to render arbitrary keys as component inside an object prop.
  
  Example typescript props:
  ```ts
  type Props = {
    dynamic: {[k: string]: JSX.Element}
  }
  ```
  prop-types: `PropTypes.objectOf(PropTypes.node)` 
  
  --- END ISSUE ---
  
  Below are some code segments, each from a relevant file. One or more of these files may contain bugs.
  --- BEGIN FILES ---
  Path: `dash/development/_collect_nodes.py`
  Content:
  ```
  1 def is_node(value):
  2     return value in ("node", "element")
  3 
  4 
  5 def is_shape(value):
  6     return value in ("shape", "exact")
  7 
  8 
  9 def collect_array(a_value, base, nodes):
  10     a_type = a_value["name"]
  11     if is_node(a_type):
  12         nodes.append(base)
  13     elif a_type in ("shape", "exact"):
  14         nodes = collect_nodes(a_value["value"], base + "[]", nodes)
  15     elif a_type == "union":
  16         nodes = collect_union(a_value["value"], base + "[]", nodes)
  17     return nodes
  18 
  19 
  20 def collect_union(type_list, base, nodes):
  21     for t in type_list:
  22         if is_node(t["name"]):
  23             nodes.append(base)
  24         elif is_shape(t["name"]):
  25             nodes = collect_nodes(t["value"], base, nodes)
  26         elif t["name"] == "arrayOf":
  27             nodes = collect_array(t["value"], base, nodes)
  28     return nodes
  29 
  30 
  31 def collect_nodes(metadata, base="", nodes=None):
  32     nodes = nodes or []
  33 
  34     for prop_name, value in metadata.items():
  35         # Support for recursive shapes, the type is directly in the field.
  36         t_value = value.get("type", value)
  37         p_type = t_value.get("name")
  38 
  39         if base:
  40             key = f"{base}.{prop_name}"
  41         else:
  42             key = prop_name
  43         if is_node(p_type):
  44             nodes.append(key)
  45         elif p_type == "arrayOf":
  46             a_value = t_value.get("value", t_value)
  47             nodes = collect_array(a_value, key, nodes)
  48         elif is_shape(p_type):
  49             nodes = collect_nodes(t_value["value"], key, nodes)
  50         elif p_type == "union":
  51             nodes = collect_union(t_value["value"], key, nodes)
  52 
  53     return nodes
  54 
  55 
  56 def filter_base_nodes(nodes):
  57     return [n for n in nodes if not any(e in n for e in ("[]", "."))]
  58
  ```
  --- 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()
  
  ```
  
golden_diff: diff --git a/dash/development/_collect_nodes.py b/dash/development/_collect_nodes.py
  --- a/dash/development/_collect_nodes.py
  +++ b/dash/development/_collect_nodes.py
  @@ -14,6 +14,8 @@
           nodes = collect_nodes(a_value["value"], base + "[]", nodes)
       elif a_type == "union":
           nodes = collect_union(a_value["value"], base + "[]", nodes)
  +    elif a_type == "objectOf":
  +        nodes = collect_object(a_value["value"], base + "[]", nodes)
       return nodes
   
   
  @@ -25,6 +27,22 @@
               nodes = collect_nodes(t["value"], base, nodes)
           elif t["name"] == "arrayOf":
               nodes = collect_array(t["value"], base, nodes)
  +        elif t["name"] == "objectOf":
  +            nodes = collect_object(t["value"], base, nodes)
  +    return nodes
  +
  +
  +def collect_object(o_value, base, nodes):
  +    o_name = o_value.get("name")
  +    o_key = base + "{}"
  +    if is_node(o_name):
  +        nodes.append(o_key)
  +    elif is_shape(o_name):
  +        nodes = collect_nodes(o_value.get("value", {}), o_key, nodes)
  +    elif o_name == "union":
  +        nodes = collect_union(o_value.get("value"), o_key, nodes)
  +    elif o_name == "arrayOf":
  +        nodes = collect_array(o_value, o_key, nodes)
       return nodes
   
   
  @@ -49,9 +67,12 @@
               nodes = collect_nodes(t_value["value"], key, nodes)
           elif p_type == "union":
               nodes = collect_union(t_value["value"], key, nodes)
  +        elif p_type == "objectOf":
  +            o_value = t_value.get("value", {})
  +            nodes = collect_object(o_value, key, nodes)
   
       return nodes
   
   
   def filter_base_nodes(nodes):
  -    return [n for n in nodes if not any(e in n for e in ("[]", "."))]
  +    return [n for n in nodes if not any(e in n for e in ("[]", ".", "{}"))]
  
verification_info: {"golden_diff": "diff --git a/dash/development/_collect_nodes.py b/dash/development/_collect_nodes.py\n--- a/dash/development/_collect_nodes.py\n+++ b/dash/development/_collect_nodes.py\n@@ -14,6 +14,8 @@\n         nodes = collect_nodes(a_value[\"value\"], base + \"[]\", nodes)\n     elif a_type == \"union\":\n         nodes = collect_union(a_value[\"value\"], base + \"[]\", nodes)\n+    elif a_type == \"objectOf\":\n+        nodes = collect_object(a_value[\"value\"], base + \"[]\", nodes)\n     return nodes\n \n \n@@ -25,6 +27,22 @@\n             nodes = collect_nodes(t[\"value\"], base, nodes)\n         elif t[\"name\"] == \"arrayOf\":\n             nodes = collect_array(t[\"value\"], base, nodes)\n+        elif t[\"name\"] == \"objectOf\":\n+            nodes = collect_object(t[\"value\"], base, nodes)\n+    return nodes\n+\n+\n+def collect_object(o_value, base, nodes):\n+    o_name = o_value.get(\"name\")\n+    o_key = base + \"{}\"\n+    if is_node(o_name):\n+        nodes.append(o_key)\n+    elif is_shape(o_name):\n+        nodes = collect_nodes(o_value.get(\"value\", {}), o_key, nodes)\n+    elif o_name == \"union\":\n+        nodes = collect_union(o_value.get(\"value\"), o_key, nodes)\n+    elif o_name == \"arrayOf\":\n+        nodes = collect_array(o_value, o_key, nodes)\n     return nodes\n \n \n@@ -49,9 +67,12 @@\n             nodes = collect_nodes(t_value[\"value\"], key, nodes)\n         elif p_type == \"union\":\n             nodes = collect_union(t_value[\"value\"], key, nodes)\n+        elif p_type == \"objectOf\":\n+            o_value = t_value.get(\"value\", {})\n+            nodes = collect_object(o_value, key, nodes)\n \n     return nodes\n \n \n def filter_base_nodes(nodes):\n-    return [n for n in nodes if not any(e in n for e in (\"[]\", \".\"))]\n+    return [n for n in nodes if not any(e in n for e in (\"[]\", \".\", \"{}\"))]\n", "issue": "Render arbitrary keys of components inside dictionaries.\nIt should be possible to render arbitrary keys as component inside an object prop.\r\n\r\nExample typescript props:\r\n```ts\r\ntype Props = {\r\n  dynamic: {[k: string]: JSX.Element}\r\n}\r\n```\r\nprop-types: `PropTypes.objectOf(PropTypes.node)` \n", "before_files": [{"content": "def is_node(value):\n    return value in (\"node\", \"element\")\n\n\ndef is_shape(value):\n    return value in (\"shape\", \"exact\")\n\n\ndef collect_array(a_value, base, nodes):\n    a_type = a_value[\"name\"]\n    if is_node(a_type):\n        nodes.append(base)\n    elif a_type in (\"shape\", \"exact\"):\n        nodes = collect_nodes(a_value[\"value\"], base + \"[]\", nodes)\n    elif a_type == \"union\":\n        nodes = collect_union(a_value[\"value\"], base + \"[]\", nodes)\n    return nodes\n\n\ndef collect_union(type_list, base, nodes):\n    for t in type_list:\n        if is_node(t[\"name\"]):\n            nodes.append(base)\n        elif is_shape(t[\"name\"]):\n            nodes = collect_nodes(t[\"value\"], base, nodes)\n        elif t[\"name\"] == \"arrayOf\":\n            nodes = collect_array(t[\"value\"], base, nodes)\n    return nodes\n\n\ndef collect_nodes(metadata, base=\"\", nodes=None):\n    nodes = nodes or []\n\n    for prop_name, value in metadata.items():\n        # Support for recursive shapes, the type is directly in the field.\n        t_value = value.get(\"type\", value)\n        p_type = t_value.get(\"name\")\n\n        if base:\n            key = f\"{base}.{prop_name}\"\n        else:\n            key = prop_name\n        if is_node(p_type):\n            nodes.append(key)\n        elif p_type == \"arrayOf\":\n            a_value = t_value.get(\"value\", t_value)\n            nodes = collect_array(a_value, key, nodes)\n        elif is_shape(p_type):\n            nodes = collect_nodes(t_value[\"value\"], key, nodes)\n        elif p_type == \"union\":\n            nodes = collect_union(t_value[\"value\"], key, nodes)\n\n    return nodes\n\n\ndef filter_base_nodes(nodes):\n    return [n for n in nodes if not any(e in n for e in (\"[]\", \".\"))]\n", "path": "dash/development/_collect_nodes.py"}], "after_files": [{"content": "def is_node(value):\n    return value in (\"node\", \"element\")\n\n\ndef is_shape(value):\n    return value in (\"shape\", \"exact\")\n\n\ndef collect_array(a_value, base, nodes):\n    a_type = a_value[\"name\"]\n    if is_node(a_type):\n        nodes.append(base)\n    elif a_type in (\"shape\", \"exact\"):\n        nodes = collect_nodes(a_value[\"value\"], base + \"[]\", nodes)\n    elif a_type == \"union\":\n        nodes = collect_union(a_value[\"value\"], base + \"[]\", nodes)\n    elif a_type == \"objectOf\":\n        nodes = collect_object(a_value[\"value\"], base + \"[]\", nodes)\n    return nodes\n\n\ndef collect_union(type_list, base, nodes):\n    for t in type_list:\n        if is_node(t[\"name\"]):\n            nodes.append(base)\n        elif is_shape(t[\"name\"]):\n            nodes = collect_nodes(t[\"value\"], base, nodes)\n        elif t[\"name\"] == \"arrayOf\":\n            nodes = collect_array(t[\"value\"], base, nodes)\n        elif t[\"name\"] == \"objectOf\":\n            nodes = collect_object(t[\"value\"], base, nodes)\n    return nodes\n\n\ndef collect_object(o_value, base, nodes):\n    o_name = o_value.get(\"name\")\n    o_key = base + \"{}\"\n    if is_node(o_name):\n        nodes.append(o_key)\n    elif is_shape(o_name):\n        nodes = collect_nodes(o_value.get(\"value\", {}), o_key, nodes)\n    elif o_name == \"union\":\n        nodes = collect_union(o_value.get(\"value\"), o_key, nodes)\n    elif o_name == \"arrayOf\":\n        nodes = collect_array(o_value, o_key, nodes)\n    return nodes\n\n\ndef collect_nodes(metadata, base=\"\", nodes=None):\n    nodes = nodes or []\n\n    for prop_name, value in metadata.items():\n        # Support for recursive shapes, the type is directly in the field.\n        t_value = value.get(\"type\", value)\n        p_type = t_value.get(\"name\")\n\n        if base:\n            key = f\"{base}.{prop_name}\"\n        else:\n            key = prop_name\n        if is_node(p_type):\n            nodes.append(key)\n        elif p_type == \"arrayOf\":\n            a_value = t_value.get(\"value\", t_value)\n            nodes = collect_array(a_value, key, nodes)\n        elif is_shape(p_type):\n            nodes = collect_nodes(t_value[\"value\"], key, nodes)\n        elif p_type == \"union\":\n            nodes = collect_union(t_value[\"value\"], key, nodes)\n        elif p_type == \"objectOf\":\n            o_value = t_value.get(\"value\", {})\n            nodes = collect_object(o_value, key, nodes)\n\n    return nodes\n\n\ndef filter_base_nodes(nodes):\n    return [n for n in nodes if not any(e in n for e in (\"[]\", \".\", \"{}\"))]\n", "path": "dash/development/_collect_nodes.py"}]}