feat: Add palindrome check to basic logic problems (Closes #13501)

other/palindrome_check.py

@@ -0,0 +1,37 @@
+def is_palindrome(text: str) -> bool:
+    """
+    Checks if a string is a palindrome.
+
+    A palindrome is a word, phrase, number, or other sequence of characters
+    which reads the same backward as forward. This implementation is case-sensitive
+    and includes spaces and punctuation in the check.
+
+    Args:
+        text: The input string to check.
+
+    Returns:
+        True if the string is a palindrome, False otherwise.
+
+    Examples (Doctests):
+    >>> is_palindrome("madam")
+    True
+    >>> is_palindrome("racecar")
+    True
+    >>> is_palindrome("A man, a plan, a canal: Panama")
+    False
+    >>> is_palindrome("level")
+    True
+    >>> is_palindrome("hello")
+    False
+    """
+    # Core logic: The simplest and most Pythonic way to reverse a string
+    # is using slicing: text[::-1].
+    # We compare the original string with its reversed version.
+    return text == text[::-1]
+
+
+if __name__ == "__main__":
+    # Standard boilerplate for running documentation examples as tests.
+    import doctest
+
+    doctest.testmod()