fix: reject {expr}{+var} adjacency to close ReDoS gap

The adjacency check rejected {+a}{b} but not the symmetric {a}{+b}.
Both produce overlapping greedy quantifiers; a 64KB crafted input
against prefix{a}{+b}.json takes ~23s to reject.

Added prev_path_expr tracking so {+var} immediately after any path
expression is rejected. {expr}{#var} remains allowed since the #
operator prepends a literal '#' that the preceding group's character
class excludes, giving a natural boundary.

Also adds the missing 'from typing import Any' to the three low-level
server examples in docs/server/resources.md.

docs/server/resources.md

@@ -251,6 +251,8 @@ There's no decorator; you return the protocol types yourself.
 For fixed URIs, keep a registry and dispatch on exact match:
 
 ```python
+from typing import Any
+
 from mcp.server.lowlevel import Server
 from mcp.types import (
     ListResourcesResult,
@@ -309,6 +311,8 @@ Parse your templates once, then match incoming URIs against them in
 your read handler:
 
 ```python
+from typing import Any
+
 from mcp.server.context import ServerRequestContext
 from mcp.server.lowlevel import Server
 from mcp.shared.uri_template import UriTemplate
@@ -373,6 +377,8 @@ the protocol `ResourceTemplate` type, using the same template strings
 you parsed above:
 
 ```python
+from typing import Any
+
 from mcp.types import ListResourceTemplatesResult, PaginatedRequestParams, ResourceTemplate
 
 

src/mcp/shared/uri_template.py

@@ -819,8 +819,11 @@ def _check_ambiguous_adjacency(template: str, parts: list[_Part]) -> None:
        trailing match fails the engine backtracks through O(n) split
        points. Two conditions trigger this:
 
-       - ``{+var}`` immediately adjacent to any expression
-         (``{+a}{b}``, ``{+a}{/b*}``)
+       - ``{+var}`` immediately adjacent to any expression on either
+         side (``{+a}{b}``, ``{a}{+b}``, ``{/a}{+b}``). The ``#``
+         operator is exempt from the preceded-by case since it
+         prepends a literal ``#`` that the preceding group cannot
+         match.
        - Two ``{+var}``/``{#var}`` anywhere in the path, even with a
          literal between them (``{+a}/x/{+b}``) — the literal does not
          disambiguate since ``[^?#]*`` matches it too
@@ -836,6 +839,7 @@ def _check_ambiguous_adjacency(template: str, parts: list[_Part]) -> None:
     """
     prev_explode = False
     prev_reserved = False
+    prev_path_expr = False
     seen_reserved = False
     for part in parts:
         if isinstance(part, str):
@@ -843,6 +847,7 @@ def _check_ambiguous_adjacency(template: str, parts: list[_Part]) -> None:
             # the seen-reserved count: [^?#]* matches most literals.
             prev_explode = False
             prev_reserved = False
+            prev_path_expr = False
             continue
         for var in part.variables:
             # ?/& are stripped before pattern building and never reach
@@ -850,11 +855,12 @@ def _check_ambiguous_adjacency(template: str, parts: list[_Part]) -> None:
             if var.operator in ("?", "&"):
                 prev_explode = False
                 prev_reserved = False
+                prev_path_expr = False
                 continue
 
-            if prev_reserved:
+            if prev_reserved or (var.operator == "+" and prev_path_expr):
                 raise InvalidUriTemplate(
-                    "{+var} or {#var} immediately followed by another expression "
+                    "{+var} or {#var} immediately adjacent to another expression "
                     "causes quadratic-time matching; separate them with a literal",
                     template=template,
                 )
@@ -872,5 +878,6 @@ def _check_ambiguous_adjacency(template: str, parts: list[_Part]) -> None:
 
             prev_explode = var.explode
             prev_reserved = var.operator in ("+", "#")
+            prev_path_expr = True
             if prev_reserved:
                 seen_reserved = True

tests/shared/test_uri_template.py

@@ -166,7 +166,7 @@ def test_parse_rejects_adjacent_explodes(template: str):
 @pytest.mark.parametrize(
     "template",
     [
-        # {+var} immediately adjacent to any expression
+        # {+var} immediately adjacent to any expression (either side)
         "{+a}{b}",
         "{+a}{/b}",
         "{+a}{/b*}",
@@ -175,6 +175,10 @@ def test_parse_rejects_adjacent_explodes(template: str):
         "{#a}{b}",
         "{+a,b}",  # multi-var in one expression: same adjacency
         "prefix/{+path}{.ext}",  # literal before doesn't help
+        "{a}{+b}",  # + preceded by expression: same overlap
+        "{.a}{+b}",
+        "{/a}{+b}",
+        "x{name}{+path}y",
         # Two {+var}/{#var} anywhere, even with literals between
         "{+a}/x/{+b}",
         "{+a},{+b}",
@@ -199,7 +203,7 @@ def test_parse_rejects_reserved_quadratic_patterns(template: str):
         "api/{+path}{?v,page}",  # + followed by query (stripped before regex)
         "api/{+path}{&next}",  # + followed by query-continuation
         "page{#section}",  # # at end
-        "{a}{+b}",  # + preceded by expression is fine; only following matters
+        "{a}{#b}",  # # prepends literal '#' that {a}'s class excludes
         "{+a}/sep/{b}",  # literal + bounded expression after: linear
         "{+a},{b}",  # same: literal disambiguates when second is bounded
     ],