prompt: You will be provided with a partial code base and an issue statement explaining a problem to resolve.
  <issue>
  PIP dependencies
  We have several deprecated dependencies that we should fix ASAP
  ```
  flask<=1.1.4
  markupsafe<=2.0.1
  itsdangerous<=2.0.1
  ```
  
  in particular, this prevents using lmfdb in an environment with jupyterlab installed, which is something we would like to have working on a short time basis. 
  
  </issue>
  <code>
  [start of lmfdb/local_fields/__init__.py]
  1 # -*- coding: utf-8 -*-
  2 from lmfdb.app import app
  3 from lmfdb.logger import make_logger
  4 from flask import Blueprint, request, redirect
  5 
  6 local_fields_page = Blueprint("local_fields", __name__, template_folder='templates', static_folder="static")
  7 logger = make_logger(local_fields_page)
  8 
  9 
  10 @local_fields_page.context_processor
  11 def body_class():
  12     return {'body_class': 'local_fields'}
  13 
  14 from . import main
  15 assert main
  16 
  17 from urllib.parse import urlparse, urlunparse
  18 
  19 
  20 @local_fields_page.before_request
  21 def redirect_local():
  22     urlparts = urlparse(request.url)
  23     if 'LocalNumberField' in urlparts.path:
  24         urlparts = urlparts._replace(path=urlparts.path.replace('LocalNumberField', 'padicField'))
  25         return redirect(urlunparse(urlparts), 301)
  26     return
  27 
  28 
  29 app.register_blueprint(local_fields_page, url_prefix="/padicField")
  30 app.register_blueprint(local_fields_page, url_prefix="/LocalNumberField")
  31 
  32 # API2 has been disabled for now
  33 #from lmfdb.api2.searchers import register_search_function
  34 #register_search_function(
  35 #    "$p$-adic_fields",
  36 #    "$p$-adic fields",
  37 #    "Search over $p$-adic fields",
  38 #    auto_search = 'lf_fields'
  39 #)
  40
  [end of lmfdb/local_fields/__init__.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/lmfdb/local_fields/__init__.py b/lmfdb/local_fields/__init__.py
  --- a/lmfdb/local_fields/__init__.py
  +++ b/lmfdb/local_fields/__init__.py
  @@ -27,7 +27,6 @@
   
   
   app.register_blueprint(local_fields_page, url_prefix="/padicField")
  -app.register_blueprint(local_fields_page, url_prefix="/LocalNumberField")
   
   # API2 has been disabled for now
   #from lmfdb.api2.searchers import register_search_function
  
verification_info: {"golden_diff": "diff --git a/lmfdb/local_fields/__init__.py b/lmfdb/local_fields/__init__.py\n--- a/lmfdb/local_fields/__init__.py\n+++ b/lmfdb/local_fields/__init__.py\n@@ -27,7 +27,6 @@\n \n \n app.register_blueprint(local_fields_page, url_prefix=\"/padicField\")\n-app.register_blueprint(local_fields_page, url_prefix=\"/LocalNumberField\")\n \n # API2 has been disabled for now\n #from lmfdb.api2.searchers import register_search_function\n", "issue": "PIP dependencies\nWe have several deprecated dependencies that we should fix ASAP\r\n```\r\nflask<=1.1.4\r\nmarkupsafe<=2.0.1\r\nitsdangerous<=2.0.1\r\n```\r\n\r\nin particular, this prevents using lmfdb in an environment with jupyterlab installed, which is something we would like to have working on a short time basis. \n", "before_files": [{"content": "# -*- coding: utf-8 -*-\nfrom lmfdb.app import app\nfrom lmfdb.logger import make_logger\nfrom flask import Blueprint, request, redirect\n\nlocal_fields_page = Blueprint(\"local_fields\", __name__, template_folder='templates', static_folder=\"static\")\nlogger = make_logger(local_fields_page)\n\n\n@local_fields_page.context_processor\ndef body_class():\n    return {'body_class': 'local_fields'}\n\nfrom . import main\nassert main\n\nfrom urllib.parse import urlparse, urlunparse\n\n\n@local_fields_page.before_request\ndef redirect_local():\n    urlparts = urlparse(request.url)\n    if 'LocalNumberField' in urlparts.path:\n        urlparts = urlparts._replace(path=urlparts.path.replace('LocalNumberField', 'padicField'))\n        return redirect(urlunparse(urlparts), 301)\n    return\n\n\napp.register_blueprint(local_fields_page, url_prefix=\"/padicField\")\napp.register_blueprint(local_fields_page, url_prefix=\"/LocalNumberField\")\n\n# API2 has been disabled for now\n#from lmfdb.api2.searchers import register_search_function\n#register_search_function(\n#    \"$p$-adic_fields\",\n#    \"$p$-adic fields\",\n#    \"Search over $p$-adic fields\",\n#    auto_search = 'lf_fields'\n#)\n", "path": "lmfdb/local_fields/__init__.py"}]}