Finished

Test Name	Status
test_escaped_tab_in_property_value_is_converted_to_space	Fail
test_mixing_various_kinds_of_whitespace_and_escaped_characters_in_property_value	Fail
test_opening_bracket_within_property_value_doesn_t_need_to_be_escaped	Fail
test_all_lowercase_property	Pass
test_empty_input	Pass
test_escaped_backslash_in_property_value_becomes_just_a_backslash	Pass
test_escaped_closing_bracket_within_property_value_becomes_just_a_closing_bracket	Pass
test_escaped_newline_in_property_value_is_converted_to_nothing_at_all	Pass
test_escaped_t_and_n_in_property_value_are_just_letters_not_whitespace	Pass
test_multiple_properties	Pass
test_multiple_property_values	Pass
test_node_without_properties	Pass
test_node_without_tree	Pass
test_parentheses_in_property_value_don_t_need_to_be_escaped	Pass
test_properties_without_delimiter	Pass
test_semicolon_in_property_value_doesn_t_need_to_be_escaped	Pass
test_single_node_tree	Pass
test_tree_with_no_nodes	Pass
test_two_child_trees	Pass
test_two_nodes	Pass
test_upper_and_lowercase_property	Pass
test_within_property_values_newlines_remain_as_newlines	Pass
test_within_property_values_whitespace_characters_such_as_tab_are_converted_to_spaces	Pass

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 def parse(input_string: str) -> SgfTree:
+    pass
+    """
+    Parse an SGF string and return a tree structure of properties.
+    Args:
+        input_string: A string in SGF format
+    Returns:
+        SgfTree: The parsed SGF tree
+    Raises:
+        ValueError: If the input is invalid according to SGF format rules
+    """
+    # Edge Case: Empty input
+    if not input_string:
+        raise ValueError("tree missing")
+    # Edge Case: Input doesn't start with '('
+    if not input_string.startswith('('):
+        raise ValueError("tree missing")
+    # Edge Case: Input doesn't end with ')'
+    if not input_string.endswith(')'):
+        raise ValueError("tree missing")
+    # Remove the outer parentheses
+    content = input_string[1:-1]
+    # Edge Case: Empty tree with no nodes
+    if not content:
+        raise ValueError("tree with no nodes")
+    # Edge Case: Tree with no nodes (only semicolons)
+    if content.strip() == ';':
+        return SgfTree()
+    return _parse_tree(content)
+def _parse_tree(content: str) -> SgfTree:
+    """
+    Parse the content of a tree (without the outer parentheses).
+    """
+    # Edge Case: Content is empty
+    if not content:
+        raise ValueError("tree with no nodes")
+    nodes, remainder = _parse_nodes(content)
+    # Edge Case: No nodes parsed
+    if not nodes:
+        raise ValueError("tree with no nodes")
+    # Convert the list of nodes to a tree structure
+    # The first node is the root, and each subsequent node is a child of the previous one
+    # until we reach a node with children, then we go depth-first
+    return _build_tree(nodes)
+def _parse_nodes(content: str) -> tuple[list, str]:
+    """
+    Parse a sequence of nodes from the content.
+    Returns a list of (properties, children) tuples and the remainder of the content.
+    """
+    nodes = []
+    while content:
+        if content.startswith(';'):
+            # Parse a single node
+            node, content = _parse_node(content[1:])
+            nodes.append(node)
+        elif content.startswith('('):
+            # This is the start of children for the last node
+            # Edge Case: No nodes before children
+            if not nodes:
+                raise ValueError("tree missing")
+            children = []
+            while content.startswith('('):
+                # Parse a child tree
+                child_content, content = _parse_parenthesized_content(content)
+                child_nodes, _ = _parse_nodes(child_content[1:-1])
+                # Edge Case: Child tree has no nodes
+                if not child_nodes:
+                    raise ValueError("tree with no nodes")
+                children.append(_build_tree(child_nodes))
+            # Add children to the last node
+            nodes[-1] = (nodes[-1][0], children)
+        else:
+            # Edge Case: Unexpected character
+            break
+    return nodes, content
+def _parse_node(content: str) -> tuple[tuple, str]:
+    """
+    Parse a single node (properties only, no children).
+    Returns a (properties, []) tuple and the remainder of the content.
+    """
+    properties = {}
+    while content and content[0].isalpha():
+        # Parse a property
+        key, content = _parse_property_key(content)
+        values, content = _parse_property_values(content)
+        # Edge Case: Property already exists
+        if key in properties:
+            # According to SGF spec, each key can only occur once
+            # But the problem statement says "each key can only occur once but may have multiple values"
+            # So we should extend the existing values list
+            properties[key].extend(values)
+        else:
+            properties[key] = values
+    return (properties, []), content
+def _parse_property_key(content: str) -> tuple[str, str]:
+    """
+    Parse a property key.
+    Returns the key and the remainder of the content.
+    """
+    key = ''
+    i = 0
+    # Parse the key
+    while i < len(content) and content[i].isalpha():
+        key += content[i]
+        i += 1
+    # Edge Case: Key is empty
+    if not key:
+        raise ValueError("properties without delimiter")
+    # Edge Case: Key is not in uppercase
+    if not key.isupper():
+        raise ValueError("property must be in uppercase")
+    return key, content[i:]
+def _parse_property_values(content: str) -> tuple[list[str], str]:
+    """
+    Parse property values.
+    Returns a list of values and the remainder of the content.
+    """
+    values = []
+    # Edge Case: No opening bracket
+    if not content.startswith('['):
+        raise ValueError("properties without delimiter")
+    # Parse the first value
+    value, content = _parse_property_value(content[1:])
+    values.append(value)
+    # Edge Case: No closing bracket
+    if not content.startswith(']'):
+        raise ValueError("properties without delimiter")
+    content = content[1:]
+    # Parse additional values if they exist (consecutive bracketed values)
+    while content.startswith('['):
+        value, content = _parse_property_value(content[1:])
+        values.append(value)
+        # Edge Case: No closing bracket
+        if not content.startswith(']'):
+            raise ValueError("properties without delimiter")
+        content = content[1:]
+    return values, content
+def _parse_property_value(content: str) -> tuple[str, str]:
+    """
+    Parse a single property value.
+    Returns the value and the remainder of the content.
+    """
+    value = ''
+    i = 0
+    while i < len(content):
+        if content[i] == ']':
+            # End of value
+            break
+        elif content[i] == '\\':
+            # Escape character
+            i += 1
+            # Edge Case: Escape at end of content
+            if i >= len(content):
+                value += '\\'
+                break
+            char = content[i]
+            if char == '\n':
+                # Newline escaped - remove if immediately after backslash
+                # Skip the newline character entirely
+                pass
+            elif char == ']':
+                # Escaped closing bracket - treat as literal and end value
+                value += ']'
+                i += 1
+                break
+            else:
+                # Any character after backslash is inserted as-is
+                value += char
+        elif content[i] == '\n':
+            # Newline - keep as is
+            value += content[i]
+        elif content[i].isspace() and content[i] != '\n':
+            # All whitespace other than newline becomes space
+            value += ' '
+        else:
+            # Regular character
+            value += content[i]
+        i += 1
+    return value, content[i:]
+def _parse_parenthesized_content(content: str) -> tuple[str, str]:
+    """
+    Parse content within parentheses, including nested parentheses.
+    Returns the content within the parentheses and the remainder.
+    """
+    # Edge Case: Doesn't start with '('
+    if not content.startswith('('):
+        raise ValueError("tree missing")
+    level = 0
+    i = 0
+    while i < len(content):
+        if content[i] == '(':
+            level += 1
+        elif content[i] == ')':
+            level -= 1
+            if level == 0:
+                return content[:i+1], content[i+1:]
+        i += 1
+    # Edge Case: Unmatched parentheses
+    raise ValueError("tree missing")
+def _build_tree(nodes: list) -> SgfTree:
+    """
+    Build a tree from a list of nodes.
+    Each node is a (properties, children) tuple.
+    """
+    # Edge Case: Empty nodes list
+    if not nodes:
+        raise ValueError("tree with no nodes")
+    # The first node is the root
+    root_properties, root_children = nodes[0]
+    # If there are more nodes, they form a chain of children
+    if len(nodes) > 1:
+        # Create the chain from back to front
+        current_tree = SgfTree(properties=nodes[-1][0], children=nodes[-1][1])
+        for i in range(len(nodes) - 2, 0, -1):
+            current_tree = SgfTree(properties=nodes[i][0], children=[current_tree] + nodes[i][1])
+        root_children = [current_tree] + root_children
+    return SgfTree(properties=root_properties, children=root_children)
+# Handled Edge Cases: Empty input, Input doesn't start with '(', Input doesn't end with ')', Empty tree with no nodes, Tree with no nodes (only semicolons), Content is empty, No nodes parsed, No nodes before children, Child tree has no nodes, Unexpected character, Key is not in uppercase, Key is empty, No opening bracket, No closing bracket, Escape at end of content, Doesn't start with '(', Unmatched parentheses, Empty nodes list