prompt: You will be provided with a partial code base and an issue statement explaining a problem to resolve.
  <issue>
  API Gateway generates invalid IDs
  Generated IDs in API Gateway resources look like `A-Z601A-Z47201`. They contain `A-Z` instead of letters.
  
  </issue>
  <code>
  [start of moto/apigateway/utils.py]
  1 from __future__ import unicode_literals
  2 import six
  3 import random
  4 
  5 
  6 def create_id():
  7     size = 10
  8     chars = list(range(10)) + ['A-Z']
  9     return ''.join(six.text_type(random.choice(chars)) for x in range(size))
  10
  [end of moto/apigateway/utils.py]
  </code>
  
  I need you to solve this issue by generating a single patch file that I can apply directly to this repository using git apply. Please respond with a single patch file in the following format.
  <patch>
  diff --git a/file.py b/file.py
  --- a/file.py
  +++ b/file.py
  @@ -1,27 +1,35 @@
   def euclidean(a, b):
  -    while b:
  -        a, b = b, a % b
  -    return a
  +    if b == 0:
  +        return a
  +    return euclidean(b, a % b)
   
   
   def bresenham(x0, y0, x1, y1):
       points = []
       dx = abs(x1 - x0)
       dy = abs(y1 - y0)
  -    sx = 1 if x0 < x1 else -1
  -    sy = 1 if y0 < y1 else -1
  -    err = dx - dy
  +    x, y = x0, y0
  +    sx = -1 if x0 > x1 else 1
  +    sy = -1 if y0 > y1 else 1
   
  -    while True:
  -        points.append((x0, y0))
  -        if x0 == x1 and y0 == y1:
  -            break
  -        e2 = 2 * err
  -        if e2 > -dy:
  -            err -= dy
  -            x0 += sx
  -        if e2 < dx:
  -            err += dx
  -            y0 += sy
  +    if dx > dy:
  +        err = dx / 2.0
  +        while x != x1:
  +            points.append((x, y))
  +            err -= dy
  +            if err < 0:
  +                y += sy
  +                err += dx
  +            x += sx
  +    else:
  +        err = dy / 2.0
  +        while y != y1:
  +            points.append((x, y))
  +            err -= dx
  +            if err < 0:
  +                x += sx
  +                err += dy
  +            y += sy
  +
  +    points.append((x, y))
       return points
  
  </patch>
golden_diff: diff --git a/moto/apigateway/utils.py b/moto/apigateway/utils.py
  --- a/moto/apigateway/utils.py
  +++ b/moto/apigateway/utils.py
  @@ -1,9 +1,10 @@
   from __future__ import unicode_literals
   import six
   import random
  +import string
   
   
   def create_id():
       size = 10
  -    chars = list(range(10)) + ['A-Z']
  +    chars = list(range(10)) + list(string.ascii_lowercase)
       return ''.join(six.text_type(random.choice(chars)) for x in range(size))
  
verification_info: {"golden_diff": "diff --git a/moto/apigateway/utils.py b/moto/apigateway/utils.py\n--- a/moto/apigateway/utils.py\n+++ b/moto/apigateway/utils.py\n@@ -1,9 +1,10 @@\n from __future__ import unicode_literals\n import six\n import random\n+import string\n \n \n def create_id():\n     size = 10\n-    chars = list(range(10)) + ['A-Z']\n+    chars = list(range(10)) + list(string.ascii_lowercase)\n     return ''.join(six.text_type(random.choice(chars)) for x in range(size))\n", "issue": "API Gateway generates invalid IDs\nGenerated IDs in API Gateway resources look like `A-Z601A-Z47201`. They contain `A-Z` instead of letters.\n", "before_files": [{"content": "from __future__ import unicode_literals\nimport six\nimport random\n\n\ndef create_id():\n    size = 10\n    chars = list(range(10)) + ['A-Z']\n    return ''.join(six.text_type(random.choice(chars)) for x in range(size))\n", "path": "moto/apigateway/utils.py"}]}