prompt: We are currently solving the following issue within our repository. Here is the issue text:
  --- BEGIN 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
  
  --- END ISSUE ---
  
  Below are some code segments, each from a relevant file. One or more of these files may contain bugs.
  --- BEGIN FILES ---
  Path: `bit_manipulation/missing_number.py`
  Content:
  ```
  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 FILES ---
  
  Please first localize the bug based on the issue statement, and then generate a patch according to the `git diff` format fenced by three backticks.
  
  Here is an example:
  
  ```diff
  diff --git a/examples/server_async.py b/examples/server_async.py
  --- a/examples/server_async.py
  +++ b/examples/server_async.py
  @@ -313,4 +313,4 @@
   
   
   if __name__ == "__main__":
  -    asyncio.run(run_async_server("."), debug=True)
  +    asyncio.run(run_async_server(), debug=True)
  diff --git a/examples/server_sync.py b/examples/server_sync.py
  --- a/examples/server_sync.py
  +++ b/examples/server_sync.py
  @@ -313,5 +313,5 @@
   
   
   if __name__ == "__main__":
  -    server = run_sync_server(".")
  +    server = run_sync_server()
       server.shutdown()
  
  ```
  
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"}], "after_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        >>> 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    low = min(nums)\n    high = max(nums)\n    missing_number = high\n\n    for i in range(low, high):\n        missing_number ^= i ^ nums[i - low]\n\n    return missing_number\n", "path": "bit_manipulation/missing_number.py"}]}