prompt: You will be provided with a partial code base and an issue statement explaining a problem to resolve.
  <issue>
  missing_number algorithm dosen't work as intended (bit_manipulation/missing_number.py)
  ### Repository commit
  
  d0c54acd75cedf14cff353869482a0487fea1697
  
  ### Python version (python --version)
  
  Python 3.12.0
  
  ### Dependencies version (pip freeze)
  
  setuptools==68.2.2
  wheel==0.41.2
  
  ### Expected behavior
  
  for array [1,3,4,5,6] the output should be 2
  
  ### Actual behavior
  
  the output got is 4
  
  </issue>
  <code>
  [start of bit_manipulation/missing_number.py]
  1 def find_missing_number(nums: list[int]) -> int:
  2     """
  3     Finds the missing number in a list of consecutive integers.
  4 
  5     Args:
  6         nums: A list of integers.
  7 
  8     Returns:
  9         The missing number.
  10 
  11     Example:
  12         >>> find_missing_number([0, 1, 3, 4])
  13         2
  14     """
  15     n = len(nums)
  16     missing_number = n
  17 
  18     for i in range(n):
  19         missing_number ^= i ^ nums[i]
  20 
  21     return missing_number
  22
  [end of bit_manipulation/missing_number.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/bit_manipulation/missing_number.py b/bit_manipulation/missing_number.py
  --- a/bit_manipulation/missing_number.py
  +++ b/bit_manipulation/missing_number.py
  @@ -11,11 +11,18 @@
       Example:
           >>> find_missing_number([0, 1, 3, 4])
           2
  +        >>> find_missing_number([1, 3, 4, 5, 6])
  +        2
  +        >>> find_missing_number([6, 5, 4, 2, 1])
  +        3
  +        >>> find_missing_number([6, 1, 5, 3, 4])
  +        2
       """
  -    n = len(nums)
  -    missing_number = n
  +    low = min(nums)
  +    high = max(nums)
  +    missing_number = high
   
  -    for i in range(n):
  -        missing_number ^= i ^ nums[i]
  +    for i in range(low, high):
  +        missing_number ^= i ^ nums[i - low]
   
       return missing_number
  
verification_info: {"golden_diff": "diff --git a/bit_manipulation/missing_number.py b/bit_manipulation/missing_number.py\n--- a/bit_manipulation/missing_number.py\n+++ b/bit_manipulation/missing_number.py\n@@ -11,11 +11,18 @@\n     Example:\n         >>> find_missing_number([0, 1, 3, 4])\n         2\n+        >>> find_missing_number([1, 3, 4, 5, 6])\n+        2\n+        >>> find_missing_number([6, 5, 4, 2, 1])\n+        3\n+        >>> find_missing_number([6, 1, 5, 3, 4])\n+        2\n     \"\"\"\n-    n = len(nums)\n-    missing_number = n\n+    low = min(nums)\n+    high = max(nums)\n+    missing_number = high\n \n-    for i in range(n):\n-        missing_number ^= i ^ nums[i]\n+    for i in range(low, high):\n+        missing_number ^= i ^ nums[i - low]\n \n     return missing_number\n", "issue": "missing_number algorithm dosen't work as intended (bit_manipulation/missing_number.py)\n### Repository commit\n\nd0c54acd75cedf14cff353869482a0487fea1697\n\n### Python version (python --version)\n\nPython 3.12.0\n\n### Dependencies version (pip freeze)\n\nsetuptools==68.2.2\r\nwheel==0.41.2\n\n### Expected behavior\n\nfor array [1,3,4,5,6] the output should be 2\n\n### Actual behavior\n\nthe output got is 4\n", "before_files": [{"content": "def find_missing_number(nums: list[int]) -> int:\n    \"\"\"\n    Finds the missing number in a list of consecutive integers.\n\n    Args:\n        nums: A list of integers.\n\n    Returns:\n        The missing number.\n\n    Example:\n        >>> find_missing_number([0, 1, 3, 4])\n        2\n    \"\"\"\n    n = len(nums)\n    missing_number = n\n\n    for i in range(n):\n        missing_number ^= i ^ nums[i]\n\n    return missing_number\n", "path": "bit_manipulation/missing_number.py"}]}