diff --git a/python/pmtiles/tile.py b/python/pmtiles/tile.py
index 692ef57..c1182dc 100644
--- a/python/pmtiles/tile.py
+++ b/python/pmtiles/tile.py
@@ -85,7 +85,7 @@ def tileid_to_zxy(tile_id):
 def find_tile(entries, tile_id):
     m = 0
     n = len(entries) - 1
-    while m < n:
+    while m <= n:
         k = (n + m) >> 1
         c = tile_id - entries[k].tile_id
         if c > 0:
diff --git a/python/pmtiles/v2.py b/python/pmtiles/v2.py
index 50e132e..c2f9095 100644
--- a/python/pmtiles/v2.py
+++ b/python/pmtiles/v2.py
@@ -1,3 +1,4 @@
+import json
 from collections import namedtuple