TheTree_mock/scripts/world/path_service.gd

class_name PathService
extends RefCounted

signal path_query_measured(duration_us: int)

## Deterministic path graph derived from WorldService-owned passable cells.
##
## Coordinates are Vector3i(x, y, layer), where layer is FRONT (0) or BACK (1).
## This service owns connector configuration, but not the authoritative world cells.

const FRONT := 0
const BACK := 1
const ORTHOGONAL_MOVE_COST := 100
const DEFAULT_CONNECTOR_COST := 150
const DEFAULT_CELL_CAPACITY := 4
const CONGESTION_COST_PER_EXCESS := 75
const MINIMUM_SPEED_MULTIPLIER := 0.25
const STUCK_THRESHOLD_MINUTES := 30
const ELEVATOR_STARVATION_MINUTES := 60
const SNAPSHOT_VERSION := 5
const SHAFT_SNAPSHOT_VERSION := 4
const ELEVATOR_INDEX_SNAPSHOT_VERSION := 3
const MAX_VERTICAL_BLOCKER_OWNERS := 4_096
const MAX_VERTICAL_BLOCKER_CELLS := 262_144
const LEGACY_SNAPSHOT_VERSION := 1
const TRAFFIC_SNAPSHOT_VERSION := 2

const ELEVATOR_REQUEST_QUEUED := &"QUEUED"
const ELEVATOR_REQUEST_BOARDED := &"BOARDED"

const MOVEMENT_WALK := &"WALK"
const MOVEMENT_CONNECTOR := &"CONNECTOR"
const MOVEMENT_ELEVATOR := &"ELEVATOR"

const CONNECTOR_OPERATIONAL := &"OPERATIONAL"
const CONNECTOR_STOPPED := &"STOPPED"
const CONNECTOR_OUTAGE := &"OUTAGE"
const CONNECTOR_MAINTENANCE := &"MAINTENANCE"

const CABIN_IDLE := &"IDLE"
const CABIN_MOVING_UP := &"MOVING_UP"
const CABIN_MOVING_DOWN := &"MOVING_DOWN"
const CABIN_DOOR_OPEN := &"DOOR_OPEN"
const CABIN_OUTAGE := &"OUTAGE"

const ELEVATOR_PRIORITY_RESCUE := 0
const ELEVATOR_PRIORITY_SECURITY := 10
const ELEVATOR_PRIORITY_PROTAGONIST := 20
const ELEVATOR_PRIORITY_VIP := 30
const ELEVATOR_PRIORITY_NORMAL := 40

const ROUTE_OK := &"OK"
const ROUTE_START_NOT_PASSABLE := &"START_NOT_PASSABLE"
const ROUTE_GOAL_NOT_PASSABLE := &"GOAL_NOT_PASSABLE"
const ROUTE_START_BLOCKED := &"START_TEMPORARILY_BLOCKED"
const ROUTE_GOAL_BLOCKED := &"GOAL_TEMPORARILY_BLOCKED"
const ROUTE_ACCESS_LAYER_DENIED := &"ACCESS_LAYER_DENIED"
const ROUTE_CONNECTOR_UNAVAILABLE := &"CONNECTOR_UNAVAILABLE"
const ROUTE_TEMPORARILY_BLOCKED := &"TEMPORARILY_BLOCKED"
const ROUTE_GOAL_UNREACHABLE := &"GOAL_UNREACHABLE"

const _CARDINAL_DIRECTIONS: Array[Vector3i] = [
	Vector3i(-1, 0, 0),
	Vector3i(0, -1, 0),
	Vector3i(0, 1, 0),
	Vector3i(1, 0, 0),
]
const _INFINITE_COST := 9223372036854775807

var graph_revision := 0
var traffic_revision := 0
var cache_hits := 0
var cache_misses := 0
var last_error := ""
var last_no_route_reason: StringName = ROUTE_OK
var last_path_cost := 0

var _passable_cells: Dictionary = {}
var _connectors: Dictionary = {}
var _adjacency: Dictionary = {}
var _vertical_walk_blockers: Dictionary = {}
var _vertical_walk_blocked_cells: Dictionary = {}
var _path_cache: Dictionary = {}
var _cell_traffic: Dictionary = {}
var _actor_cells: Dictionary = {}
var _actor_progress: Dictionary = {}
var _vertical_walk_requires_connector := false
var _transit_actor_ids: Dictionary = {}
var _known_elevator_request_ids: Dictionary = {}
var _active_elevator_units: Dictionary = {}
var _pending_graph_revision := -1
var _traffic_loaded_without_graph := false


func rebuild_graph(passable_cells: Variant) -> bool:
	var normalization := _normalize_cell_set(passable_cells)
	if not normalization[&"ok"]:
		last_error = normalization[&"error"]
		return false

	var next_cells: Dictionary = normalization[&"cells"]
	if _traffic_loaded_without_graph:
		for cell_value: Variant in _cell_traffic:
			if not next_cells.has(cell_value):
				last_error = "Snapshot traffic references a cell absent from the authoritative world: %s" % cell_value
				return false
		for actor_id: Variant in _actor_cells:
			if not next_cells.has(_actor_cells[actor_id]):
				last_error = "Snapshot actor projection references a non-walkable cell: %s" % actor_id
				return false
	if next_cells == _passable_cells:
		_ensure_cell_traffic_for_graph(next_cells, not _traffic_loaded_without_graph)
		_traffic_loaded_without_graph = false
		if _pending_graph_revision >= 0:
			graph_revision = _pending_graph_revision
			_pending_graph_revision = -1
			invalidate_all_cache()
		last_error = ""
		return true

	_passable_cells = next_cells
	_ensure_cell_traffic_for_graph(next_cells, not _traffic_loaded_without_graph)
	_traffic_loaded_without_graph = false
	_rebuild_derived_graph()
	if _pending_graph_revision >= 0:
		graph_revision = _pending_graph_revision
		_pending_graph_revision = -1
		invalidate_all_cache()
	else:
		_mark_graph_changed()
	last_error = ""
	return true


## A shaft is always physical topology, independent of cabin availability.
## Owners may overlap; removing one owner does not clear another owner's cells.
func set_vertical_walk_blockers(owner_id: StringName, cells: Array[Vector3i]) -> bool:
	if not _vertical_blocker_owner_is_valid(owner_id):
		last_error = "Vertical walk blockers require a bounded, nonempty owner id."
		return false
	if cells.is_empty() or cells.size() > MAX_VERTICAL_BLOCKER_CELLS:
		last_error = "Vertical walk blockers require a bounded, nonempty cell set."
		return false
	var normalization := _normalize_cell_set(cells)
	if not bool(normalization[&"ok"]) or (normalization[&"cells"] as Dictionary).size() != cells.size():
		last_error = "Vertical walk blocker cells must be valid and unique."
		return false
	for cell: Vector3i in cells:
		if not _passable_cells.has(cell):
			last_error = "Vertical walk blocker cells must belong to the current graph."
			return false
	var canonical: Array[Vector3i] = cells.duplicate()
	canonical.sort_custom(Callable(self, "_coordinate_less"))
	if _vertical_walk_blockers.get(owner_id, []) == canonical:
		last_error = ""
		return true
	var candidate := _vertical_walk_blockers.duplicate(true)
	candidate[owner_id] = canonical
	var count := 0
	for owned_cells: Array in candidate.values():
		count += owned_cells.size()
	if candidate.size() > MAX_VERTICAL_BLOCKER_OWNERS or count > MAX_VERTICAL_BLOCKER_CELLS:
		last_error = "Vertical walk blocker ownership capacity exceeded."
		return false
	_vertical_walk_blockers = candidate
	_rebuild_vertical_walk_blocked_cells()
	_rebuild_derived_graph()
	_mark_graph_changed()
	last_error = ""
	return true


func remove_vertical_walk_blockers(owner_id: StringName) -> bool:
	if not _vertical_walk_blockers.has(owner_id):
		last_error = "Unknown vertical walk blocker owner."
		return false
	_vertical_walk_blockers.erase(owner_id)
	_rebuild_vertical_walk_blocked_cells()
	_rebuild_derived_graph()
	_mark_graph_changed()
	last_error = ""
	return true


func get_vertical_walk_blockers() -> Dictionary:
	return _vertical_walk_blockers.duplicate(true)


func set_vertical_walk_requires_connector(required: bool) -> bool:
	if _vertical_walk_requires_connector == required:
		last_error = ""
		return true
	_vertical_walk_requires_connector = required
	_mark_graph_changed()
	last_error = ""
	return true


func get_vertical_walk_requires_connector() -> bool:
	return _vertical_walk_requires_connector


func get_transit_actor_ids() -> Array[StringName]:
	return _sorted_name_keys(_transit_actor_ids)


func is_actor_in_transit(actor_id: StringName) -> bool:
	return _transit_actor_ids.has(actor_id)


func _rebuild_vertical_walk_blocked_cells() -> void:
	_vertical_walk_blocked_cells.clear()
	for cells: Array in _vertical_walk_blockers.values():
		for cell: Vector3i in cells:
			_vertical_walk_blocked_cells[cell] = true


func _ordinary_walk_edge_allowed(from_cell: Vector3i, to_cell: Vector3i) -> bool:
	return from_cell.y == to_cell.y or (
		not _vertical_walk_blocked_cells.has(from_cell)
		and not _vertical_walk_blocked_cells.has(to_cell)
	)


func _vertical_blocker_owner_is_valid(owner_id: StringName) -> bool:
	var value := String(owner_id)
	return not value.is_empty() and value.length() <= 128 and value == value.strip_edges()


func configure_connector(
	connector_id: StringName,
	from_cell: Vector3i,
	to_cell: Vector3i,
	cost := DEFAULT_CONNECTOR_COST,
	bidirectional := true,
	access_id: StringName = &"",
	enabled := true,
	options: Dictionary = {}
) -> bool:
	var raw_configuration := options.duplicate(true)
	raw_configuration.merge({
		&"id": connector_id,
		&"from": from_cell,
		&"to": to_cell,
		&"cost": cost,
		&"bidirectional": bidirectional,
		&"access_id": access_id,
		&"enabled": enabled,
	}, true)
	var normalized := _normalize_connector(raw_configuration)
	if not normalized[&"ok"]:
		last_error = normalized[&"error"]
		return false

	var configuration: Dictionary = normalized[&"connector"]
	if _connectors.has(connector_id) and _connectors[connector_id] == configuration:
		last_error = ""
		return true
	for unit_id: Variant in _active_elevator_units:
		var active: Dictionary = _active_elevator_units[unit_id]
		if active[&"connector_id"] == connector_id:
			last_error = "Cannot reconfigure a connector with active elevator requests."
			return false
	var proposed_connectors := _connectors.duplicate(true)
	proposed_connectors[connector_id] = configuration
	var index_result := _derive_elevator_indexes_from_connectors(proposed_connectors)
	if not index_result[&"ok"]:
		last_error = index_result[&"error"]
		return false
	for request_id: Variant in index_result[&"known_request_ids"]:
		if _known_elevator_request_ids.has(request_id) \
			and not _active_request_id_exists(StringName(request_id)):
			last_error = "Connector configuration reuses a retired elevator request id."
			return false
	_connectors[connector_id] = configuration
	var next_active: Dictionary = index_result[&"active_units"]
	for unit_id: Variant in _active_elevator_units:
		var active: Dictionary = _active_elevator_units[unit_id]
		if active[&"state"] == ELEVATOR_REQUEST_BOARDED:
			next_active[unit_id] = active.duplicate(true)
	_active_elevator_units = next_active
	_refresh_transit_actor_ids()
	for request_id: Variant in index_result[&"known_request_ids"]:
		_known_elevator_request_ids[request_id] = true
	_rebuild_derived_graph()
	_mark_graph_changed()
	last_error = ""
	return true


func add_connector(
	connector_id: StringName,
	from_cell: Vector3i,
	to_cell: Vector3i,
	cost := DEFAULT_CONNECTOR_COST,
	bidirectional := true,
	access_id: StringName = &""
) -> bool:
	return configure_connector(
		connector_id,
		from_cell,
		to_cell,
		cost,
		bidirectional,
		access_id,
		true
	)


func configure_elevator(
	connector_id: StringName,
	from_cell: Vector3i,
	to_cell: Vector3i,
	options: Dictionary = {},
	access_id: StringName = &""
) -> bool:
	var elevator_options := options.duplicate(true)
	elevator_options[&"movement_type"] = MOVEMENT_ELEVATOR
	var cost := int(_dictionary_value(elevator_options, &"cost", DEFAULT_CONNECTOR_COST))
	var bidirectional := bool(_dictionary_value(elevator_options, &"bidirectional", true))
	var enabled := bool(_dictionary_value(elevator_options, &"enabled", true))
	return configure_connector(
		connector_id,
		from_cell,
		to_cell,
		cost,
		bidirectional,
		access_id,
		enabled,
		elevator_options
	)


func set_connectors(configurations: Array) -> bool:
	var normalized_collection := _normalize_connector_collection(configurations)
	if not normalized_collection[&"ok"]:
		last_error = normalized_collection[&"error"]
		return false
	var next_connectors: Dictionary = normalized_collection[&"connectors"]

	if next_connectors == _connectors:
		last_error = ""
		return true
	for request_id: Variant in normalized_collection[&"known_request_ids"]:
		if _known_elevator_request_ids.has(request_id) \
			and not _active_request_id_exists(StringName(request_id)):
			last_error = "Connector set reuses a retired elevator request id."
			return false
	for unit_id: Variant in _active_elevator_units:
		if (_active_elevator_units[unit_id] as Dictionary)[&"state"] == ELEVATOR_REQUEST_BOARDED:
			last_error = "Cannot replace connector set while an elevator trip is boarded."
			return false
	_connectors = next_connectors
	_active_elevator_units = normalized_collection[&"active_units"]
	_refresh_transit_actor_ids()
	for request_id: Variant in normalized_collection[&"known_request_ids"]:
		_known_elevator_request_ids[request_id] = true
	_rebuild_derived_graph()
	_mark_graph_changed()
	last_error = ""
	return true


func remove_connector(connector_id: StringName) -> bool:
	if not _connectors.has(connector_id):
		return false
	for unit_id: Variant in _active_elevator_units:
		if (_active_elevator_units[unit_id] as Dictionary)[&"connector_id"] == connector_id:
			last_error = "Cannot remove a connector with active elevator requests: %s" % connector_id
			return false
	_connectors.erase(connector_id)
	_rebuild_derived_graph()
	_mark_graph_changed()
	last_error = ""
	return true


func set_connector_enabled(connector_id: StringName, enabled: bool) -> bool:
	if not _connectors.has(connector_id):
		last_error = "Unknown connector id: %s" % connector_id
		return false
	var connector: Dictionary = _connectors[connector_id]
	if bool(connector[&"enabled"]) == enabled:
		last_error = ""
		return true
	connector[&"enabled"] = enabled
	_connectors[connector_id] = connector
	_rebuild_derived_graph()
	_mark_graph_changed()
	last_error = ""
	return true


func set_connector_operational_state(connector_id: StringName, state: StringName) -> bool:
	if not _connectors.has(connector_id):
		last_error = "Unknown connector id: %s" % connector_id
		return false
	if state not in [
		CONNECTOR_OPERATIONAL,
		CONNECTOR_STOPPED,
		CONNECTOR_OUTAGE,
		CONNECTOR_MAINTENANCE,
	]:
		last_error = "Unsupported connector operational state: %s" % state
		return false
	var connector: Dictionary = _connectors[connector_id]
	if connector[&"operational_state"] == state:
		last_error = ""
		return true
	connector[&"operational_state"] = state
	if connector[&"movement_type"] == MOVEMENT_ELEVATOR:
		connector[&"cabin_state"] = CABIN_IDLE if state == CONNECTOR_OPERATIONAL else CABIN_OUTAGE
	_connectors[connector_id] = connector
	_rebuild_derived_graph()
	_mark_graph_changed()
	last_error = ""
	return true


func set_elevator_operational(connector_id: StringName, operational: bool) -> bool:
	return set_connector_operational_state(
		connector_id,
		CONNECTOR_OPERATIONAL if operational else CONNECTOR_OUTAGE
	)


func set_elevator_cabin_state(connector_id: StringName, cabin_state: StringName) -> bool:
	if not _connectors.has(connector_id):
		last_error = "Unknown connector id: %s" % connector_id
		return false
	if cabin_state not in [
		CABIN_IDLE,
		CABIN_MOVING_UP,
		CABIN_MOVING_DOWN,
		CABIN_DOOR_OPEN,
		CABIN_OUTAGE,
	]:
		last_error = "Unsupported elevator cabin state: %s" % cabin_state
		return false
	var connector: Dictionary = _connectors[connector_id]
	if connector[&"movement_type"] != MOVEMENT_ELEVATOR:
		last_error = "Connector is not an elevator: %s" % connector_id
		return false
	if connector[&"cabin_state"] == cabin_state:
		last_error = ""
		return true
	connector[&"cabin_state"] = cabin_state
	connector[&"operational_state"] = (
		CONNECTOR_OUTAGE if cabin_state == CABIN_OUTAGE else CONNECTOR_OPERATIONAL
	)
	_connectors[connector_id] = connector
	_rebuild_derived_graph()
	_mark_graph_changed()
	last_error = ""
	return true


func clear_connectors() -> void:
	if _connectors.is_empty():
		return
	if not _active_elevator_units.is_empty():
		last_error = "Cannot clear connectors while elevator requests are active."
		return
	_connectors.clear()
	_rebuild_derived_graph()
	_mark_graph_changed()
	last_error = ""


func configure_cell_traffic(
	cell: Vector3i,
	base_capacity: int = DEFAULT_CELL_CAPACITY,
	dynamic_cost: int = 0,
	temporary_block: bool = false
) -> bool:
	if not _passable_cells.has(cell):
		last_error = "Traffic configuration requires a passable cell: %s" % cell
		return false
	if base_capacity <= 0 or dynamic_cost < 0:
		last_error = "Cell capacity must be positive and dynamic cost non-negative."
		return false
	var current: Dictionary = _cell_traffic.get(cell, _default_cell_traffic())
	var updated := {
		&"base_capacity": base_capacity,
		&"current_density": int(current.get(&"current_density", 0)),
		&"dynamic_cost": dynamic_cost,
		&"temporary_block": temporary_block,
	}
	if current == updated:
		last_error = ""
		return true
	var may_make_routes_cheaper := (
		_traffic_effective_cost(current) > _traffic_effective_cost(updated)
		or (bool(current[&"temporary_block"]) and not temporary_block)
	)
	_cell_traffic[cell] = updated
	_mark_traffic_changed([cell], may_make_routes_cheaper)
	last_error = ""
	return true


func set_cell_base_capacity(cell: Vector3i, base_capacity: int) -> bool:
	var current := get_cell_traffic(cell)
	if current.is_empty():
		last_error = "Unknown path cell: %s" % cell
		return false
	return configure_cell_traffic(
		cell,
		base_capacity,
		int(current[&"dynamic_cost"]),
		bool(current[&"temporary_block"])
	)


func set_cell_dynamic_cost(cell: Vector3i, dynamic_cost: int) -> bool:
	var current := get_cell_traffic(cell)
	if current.is_empty():
		last_error = "Unknown path cell: %s" % cell
		return false
	return configure_cell_traffic(
		cell,
		int(current[&"base_capacity"]),
		dynamic_cost,
		bool(current[&"temporary_block"])
	)


func set_cell_temporary_block(cell: Vector3i, temporary_block: bool) -> bool:
	var current := get_cell_traffic(cell)
	if current.is_empty():
		last_error = "Unknown path cell: %s" % cell
		return false
	return configure_cell_traffic(
		cell,
		int(current[&"base_capacity"]),
		int(current[&"dynamic_cost"]),
		temporary_block
	)


func get_cell_traffic(cell: Vector3i) -> Dictionary:
	if not _passable_cells.has(cell):
		return {}
	return (_cell_traffic.get(cell, _default_cell_traffic()) as Dictionary).duplicate(true)


func get_current_density(cell: Vector3i) -> int:
	return int(_cell_traffic.get(cell, {}).get(&"current_density", 0))


func get_congestion_cost(cell: Vector3i) -> int:
	var traffic: Dictionary = _cell_traffic.get(cell, {})
	if traffic.is_empty():
		return 0
	return maxi(
		0,
		int(traffic[&"current_density"]) - int(traffic[&"base_capacity"])
	) * CONGESTION_COST_PER_EXCESS


func get_cell_dynamic_cost(cell: Vector3i) -> int:
	var traffic: Dictionary = _cell_traffic.get(cell, {})
	if traffic.is_empty():
		return 0
	return int(traffic[&"dynamic_cost"]) + get_congestion_cost(cell)


func get_speed_multiplier(cell: Vector3i) -> float:
	var traffic: Dictionary = _cell_traffic.get(cell, {})
	if traffic.is_empty():
		return 1.0
	var capacity := int(traffic[&"base_capacity"])
	var density := int(traffic[&"current_density"])
	return clampf(
		float(capacity) / float(maxi(capacity, density)),
		MINIMUM_SPEED_MULTIPLIER,
		1.0
	)


func project_actor_position(
	actor_id: StringName,
	cell: Vector3i,
	absolute_minute: int = -1
) -> bool:
	if actor_id.is_empty() or not _passable_cells.has(cell):
		last_error = "Actor projection requires an id and a passable destination."
		return false
	if bool(_cell_traffic[cell][&"temporary_block"]):
		last_error = "Actor cannot enter a temporarily blocked cell."
		return false
	if absolute_minute >= 0 and _actor_progress.has(actor_id) \
		and absolute_minute < int((_actor_progress[actor_id] as Dictionary)[&"last_observed_at"]):
		last_error = "Actor projection time cannot move backwards."
		return false
	if _actor_cells.has(actor_id) and _actor_cells[actor_id] == cell:
		if absolute_minute >= 0:
			var progress_result := record_actor_progress(actor_id, cell, absolute_minute)
			if not bool(progress_result[&"ok"]):
				return false
		last_error = ""
		return true

	var changed_cells: Array[Vector3i] = []
	if _actor_cells.has(actor_id):
		var previous: Vector3i = _actor_cells[actor_id]
		if not is_actor_in_transit(actor_id) and not _decrement_density(previous):
			last_error = "Actor density projection is inconsistent for: %s" % actor_id
			return false
		if not is_actor_in_transit(actor_id):
			changed_cells.append(previous)
	_actor_cells[actor_id] = cell
	if _active_elevator_units.get(actor_id, {}).get(&"state", &"") == ELEVATOR_REQUEST_BOARDED:
		_transit_actor_ids[actor_id] = true
	else:
		_transit_actor_ids.erase(actor_id)
		_increment_density(cell)
		changed_cells.append(cell)
	# Leaving the previous cell can make an unselected alternative cheaper, so a
	# move requires broad cache invalidation even though congestion itself does
	# not advance graph_revision.
	if not changed_cells.is_empty():
		_mark_traffic_changed(changed_cells, changed_cells.size() > 1)
	if absolute_minute >= 0:
		record_actor_progress(actor_id, cell, absolute_minute)
	last_error = ""
	return true


func actor_enter_cell(actor_id: StringName, cell: Vector3i, absolute_minute: int = -1) -> bool:
	return project_actor_position(actor_id, cell, absolute_minute)


func actor_leave_cell(actor_id: StringName, clear_progress: bool = true) -> bool:
	if actor_id.is_empty() or not _actor_cells.has(actor_id):
		last_error = "Actor has no projected cell: %s" % actor_id
		return false
	var previous: Vector3i = _actor_cells[actor_id]
	var was_in_transit := is_actor_in_transit(actor_id)
	if not was_in_transit and not _decrement_density(previous):
		last_error = "Actor density projection is inconsistent for: %s" % actor_id
		return false
	_actor_cells.erase(actor_id)
	_transit_actor_ids.erase(actor_id)
	if clear_progress:
		_actor_progress.erase(actor_id)
	if not was_in_transit:
		_mark_traffic_changed([previous], true)
	last_error = ""
	return true


func despawn_actor(actor_id: StringName) -> bool:
	var removed := false
	if _actor_cells.has(actor_id):
		removed = actor_leave_cell(actor_id, true)
	elif _actor_progress.erase(actor_id):
		removed = true
	if not removed:
		last_error = "Unknown actor id: %s" % actor_id
		return false
	last_error = ""
	return true


func has_actor_projection(actor_id: StringName) -> bool:
	return _actor_cells.has(actor_id)


func get_actor_projected_cell(actor_id: StringName) -> Variant:
	return _actor_cells.get(actor_id, null)


func project_occupancy(entries: Array, clear_unprojected_progress: bool = true) -> bool:
	var next_actor_cells: Dictionary = {}
	var next_densities: Dictionary = {}
	for raw_entry: Variant in entries:
		if not raw_entry is Dictionary:
			last_error = "Occupancy projection entries must be Dictionaries."
			return false
		var actor_id := StringName(str(_dictionary_value(raw_entry, &"actor_id", "")))
		var cell: Variant = _dictionary_value(raw_entry, &"cell", null)
		if actor_id.is_empty() or not cell is Vector3i or not _passable_cells.has(cell):
			last_error = "Occupancy projection contains an invalid actor or cell."
			return false
		if bool(_cell_traffic[cell][&"temporary_block"]) or next_actor_cells.has(actor_id):
			last_error = "Occupancy projection contains a duplicate actor or blocked cell."
			return false
		next_actor_cells[actor_id] = cell
		if _active_elevator_units.get(actor_id, {}).get(&"state", &"") != ELEVATOR_REQUEST_BOARDED:
			next_densities[cell] = int(next_densities.get(cell, 0)) + 1

	var changed: Dictionary = {}
	var may_make_routes_cheaper := false
	for cell_value: Variant in _passable_cells:
		var cell: Vector3i = cell_value
		var old_density := get_current_density(cell)
		var next_density := int(next_densities.get(cell, 0))
		if old_density != next_density:
			changed[cell] = true
			if next_density < old_density:
				may_make_routes_cheaper = true
		var traffic: Dictionary = _cell_traffic[cell]
		traffic[&"current_density"] = next_density
		_cell_traffic[cell] = traffic
	_actor_cells = next_actor_cells
	_transit_actor_ids = _derive_transit_actor_ids(_actor_cells, _active_elevator_units)
	if clear_unprojected_progress:
		var stale_progress_ids: Array = []
		for actor_id: Variant in _actor_progress:
			if not next_actor_cells.has(actor_id):
				stale_progress_ids.append(actor_id)
		for actor_id: Variant in stale_progress_ids:
			_actor_progress.erase(actor_id)
	if not changed.is_empty():
		_mark_traffic_changed(changed.keys(), may_make_routes_cheaper)
	last_error = ""
	return true


func enqueue_elevator_request(connector_id: StringName, request: Dictionary) -> Dictionary:
	if not _connectors.has(connector_id):
		return _queue_failure(&"UNKNOWN_CONNECTOR", "Unknown connector id: %s" % connector_id)
	var connector: Dictionary = _connectors[connector_id]
	if connector[&"movement_type"] != MOVEMENT_ELEVATOR:
		return _queue_failure(&"NOT_ELEVATOR", "Connector is not an elevator: %s" % connector_id)
	var normalized := _normalize_elevator_request(request)
	if not normalized[&"ok"]:
		return _queue_failure(&"INVALID_REQUEST", normalized[&"error"])
	var candidate: Dictionary = normalized[&"request"]
	var queue: Array = connector[&"request_queue"]
	var request_id: StringName = candidate[&"request_id"]
	var unit_id: StringName = candidate[&"unit_id"]
	if _known_elevator_request_ids.has(request_id):
		var active: Dictionary = _active_elevator_units.get(unit_id, {})
		if not active.is_empty() \
			and active[&"request_id"] == request_id \
			and active[&"connector_id"] == connector_id \
			and active[&"state"] == ELEVATOR_REQUEST_QUEUED:
			for existing_value: Variant in queue:
				var existing: Dictionary = existing_value
				if existing[&"request_id"] == request_id and existing == candidate:
					last_error = ""
					return {
						&"ok": true,
						&"replay": true,
						&"request": existing.duplicate(true),
						&"queue_size": queue.size(),
					}
		return _queue_failure(
			&"DUPLICATE_REQUEST",
			"Elevator request id has already been used on this or another connector."
		)
	if _active_elevator_units.has(unit_id):
		var existing_active: Dictionary = _active_elevator_units[unit_id]
		return _queue_failure(
			&"UNIT_ALREADY_ACTIVE",
			"Elevator unit already has an active %s request." % existing_active[&"state"]
		)
	if queue.size() >= int(connector[&"queue_capacity"]):
		return _queue_failure(&"QUEUE_FULL", "Elevator request queue is full.")
	queue.append(candidate)
	queue.sort_custom(Callable(self, "_elevator_request_base_less"))
	connector[&"request_queue"] = queue
	_connectors[connector_id] = connector
	_known_elevator_request_ids[request_id] = true
	_active_elevator_units[unit_id] = {
		&"unit_id": unit_id,
		&"request_id": request_id,
		&"connector_id": connector_id,
		&"state": ELEVATOR_REQUEST_QUEUED,
	}
	_mark_connector_traffic_changed(connector, false)
	last_error = ""
	return {
		&"ok": true,
		&"replay": false,
		&"request": candidate.duplicate(true),
		&"queue_size": queue.size(),
	}


func queue_elevator_request(connector_id: StringName, request: Dictionary) -> Dictionary:
	return enqueue_elevator_request(connector_id, request)


func cancel_elevator_request(connector_id: StringName, request_id: StringName) -> bool:
	if not _connectors.has(connector_id):
		last_error = "Unknown connector id: %s" % connector_id
		return false
	var connector: Dictionary = _connectors[connector_id]
	if connector[&"movement_type"] != MOVEMENT_ELEVATOR:
		last_error = "Connector is not an elevator: %s" % connector_id
		return false
	var queue: Array = connector[&"request_queue"]
	for index: int in range(queue.size()):
		var request: Dictionary = queue[index]
		if request[&"request_id"] == request_id:
			queue.remove_at(index)
			connector[&"request_queue"] = queue
			_connectors[connector_id] = connector
			_active_elevator_units.erase(request[&"unit_id"])
			_refresh_transit_actor_ids()
			# Request ids are tombstoned permanently; cancellation permits a new
			# id for the same unit but never reuse of the cancelled id.
			_mark_connector_traffic_changed(connector, true)
			last_error = ""
			return true
	last_error = "Unknown elevator request id: %s" % request_id
	return false


func get_elevator_queue(connector_id: StringName, absolute_minute: int = 0) -> Array[Dictionary]:
	var result: Array[Dictionary] = []
	if not _connectors.has(connector_id):
		return result
	var connector: Dictionary = _connectors[connector_id]
	if connector[&"movement_type"] != MOVEMENT_ELEVATOR:
		return result
	var queue: Array = (connector[&"request_queue"] as Array).duplicate(true)
	queue.sort_custom(func(left: Dictionary, right: Dictionary) -> bool:
		return _elevator_request_less_at(left, right, absolute_minute)
	)
	for value: Variant in queue:
		result.append((value as Dictionary).duplicate(true))
	return result


func elevator_queue_size(connector_id: StringName) -> int:
	if not _connectors.has(connector_id):
		return 0
	var connector: Dictionary = _connectors[connector_id]
	if connector[&"movement_type"] != MOVEMENT_ELEVATOR:
		return 0
	return (connector[&"request_queue"] as Array).size()


func dequeue_elevator_boarding(
	connector_id: StringName,
	current_floor: int,
	absolute_minute: int,
	available_capacity: int = -1
) -> Array[Dictionary]:
	var boarded: Array[Dictionary] = []
	if not _connectors.has(connector_id):
		last_error = "Unknown connector id: %s" % connector_id
		return boarded
	var connector: Dictionary = _connectors[connector_id]
	if connector[&"movement_type"] != MOVEMENT_ELEVATOR:
		last_error = "Connector is not an elevator: %s" % connector_id
		return boarded
	if not _connector_is_operational(connector):
		last_error = "Elevator is not operational: %s" % connector_id
		return boarded
	var boarding_capacity := int(connector[&"cabin_capacity"])
	if available_capacity >= 0:
		boarding_capacity = mini(boarding_capacity, available_capacity)
	if boarding_capacity <= 0:
		last_error = ""
		return boarded

	var queue := get_elevator_queue(connector_id, absolute_minute)
	var remaining: Array = []
	for request: Dictionary in queue:
		if boarded.size() < boarding_capacity and int(request[&"floor_from"]) == current_floor:
			boarded.append(request.duplicate(true))
		else:
			remaining.append(request.duplicate(true))
	connector[&"request_queue"] = remaining
	connector[&"current_floor"] = current_floor
	connector[&"cabin_state"] = CABIN_DOOR_OPEN if not boarded.is_empty() else CABIN_IDLE
	_connectors[connector_id] = connector
	if not boarded.is_empty():
		for request: Dictionary in boarded:
			var unit_id: StringName = request[&"unit_id"]
			var active: Dictionary = _active_elevator_units.get(unit_id, {})
			if not active.is_empty() and active[&"request_id"] == request[&"request_id"]:
				active[&"state"] = ELEVATOR_REQUEST_BOARDED
				_active_elevator_units[unit_id] = active
		_refresh_transit_actor_ids()
		_mark_connector_traffic_changed(connector, true)
	last_error = ""
	return boarded


func complete_elevator_request(connector_id: StringName, request_id: StringName) -> bool:
	if connector_id.is_empty() or request_id.is_empty():
		last_error = "Elevator completion requires connector and request ids."
		return false
	for unit_id: StringName in _sorted_name_keys(_active_elevator_units):
		var active: Dictionary = _active_elevator_units[unit_id]
		if active[&"request_id"] != request_id:
			continue
		if active[&"connector_id"] != connector_id:
			last_error = "Elevator request belongs to another connector."
			return false
		if active[&"state"] != ELEVATOR_REQUEST_BOARDED:
			last_error = "Only a boarded elevator request can complete."
			return false
		_active_elevator_units.erase(unit_id)
		_refresh_transit_actor_ids()
		last_error = ""
		return true
	last_error = "Unknown active elevator request id: %s" % request_id
	return false


func complete_elevator_trip(connector_id: StringName, request_id: StringName) -> bool:
	return complete_elevator_request(connector_id, request_id)


func get_active_elevator_request(unit_id: StringName) -> Dictionary:
	if not _active_elevator_units.has(unit_id):
		return {}
	return (_active_elevator_units[unit_id] as Dictionary).duplicate(true)


func _active_request_id_exists(request_id: StringName) -> bool:
	for unit_id: Variant in _active_elevator_units:
		if (_active_elevator_units[unit_id] as Dictionary)[&"request_id"] == request_id:
			return true
	return false


func estimate_elevator_wait_cost(connector_id: StringName) -> int:
	if not _connectors.has(connector_id):
		return 0
	var connector: Dictionary = _connectors[connector_id]
	if connector[&"movement_type"] != MOVEMENT_ELEVATOR:
		return 0
	var queue_size := (connector[&"request_queue"] as Array).size()
	var capacity := maxi(int(connector[&"cabin_capacity"]), 1)
	# Boarding costs one minute per unit.  Each full cabin ahead adds another
	# door cycle, represented here as two game minutes.
	var cabin_cycles := ceili(float(queue_size) / float(capacity))
	return (queue_size + cabin_cycles * 2) * ORTHOGONAL_MOVE_COST


func find_path(
	start: Vector3i,
	goal: Vector3i,
	access_layers: Variant = null,
	connector_access: Variant = null
) -> Array[Vector3i]:
	var started_usec := Time.get_ticks_usec()
	var path := _find_path_internal(start, goal, access_layers, connector_access)
	path_query_measured.emit(maxi(Time.get_ticks_usec() - started_usec, 0))
	return path


func _find_path_internal(
	start: Vector3i,
	goal: Vector3i,
	access_layers: Variant = null,
	connector_access: Variant = null
) -> Array[Vector3i]:
	var raw_layers: Variant = access_layers
	var raw_connector_access: Variant = connector_access
	if access_layers is Dictionary:
		var access_profile: Dictionary = access_layers
		raw_layers = _profile_value(
			access_profile,
			[&"allowed_layers", &"access_layers", &"access_layer", &"layer"],
			null
		)
		if connector_access == null:
			raw_connector_access = _profile_value(
				access_profile,
				[&"connector_access", &"connector_access_ids", &"access_ids"],
				null
			)

	var layer_result := _normalize_access_layers(raw_layers)
	if not layer_result[&"ok"]:
		last_error = layer_result[&"error"]
		last_no_route_reason = ROUTE_ACCESS_LAYER_DENIED
		last_path_cost = 0
		return []
	var connector_result := _normalize_access_ids(raw_connector_access)
	if not connector_result[&"ok"]:
		last_error = connector_result[&"error"]
		last_no_route_reason = ROUTE_CONNECTOR_UNAVAILABLE
		last_path_cost = 0
		return []

	var allowed_layers: Array[int] = layer_result[&"values"]
	var allowed_access_ids: Array[StringName] = connector_result[&"values"]
	if not _passable_cells.has(start):
		return _route_failure(ROUTE_START_NOT_PASSABLE)
	if not _passable_cells.has(goal):
		return _route_failure(ROUTE_GOAL_NOT_PASSABLE)
	if start.z not in allowed_layers or goal.z not in allowed_layers:
		return _route_failure(ROUTE_ACCESS_LAYER_DENIED)
	if _cell_is_temporarily_blocked(start):
		return _route_failure(ROUTE_START_BLOCKED)
	if _cell_is_temporarily_blocked(goal):
		return _route_failure(ROUTE_GOAL_BLOCKED)

	var cache_key := _cache_key(start, goal, allowed_layers, allowed_access_ids)
	if _path_cache.has(cache_key):
		var cached: Array = _path_cache[cache_key]
		if _path_is_currently_valid(cached, allowed_layers, allowed_access_ids):
			cache_hits += 1
			last_no_route_reason = ROUTE_OK
			last_path_cost = _calculate_path_cost_for_access(cached, allowed_access_ids)
			last_error = ""
			return _copy_path(cached)
		_path_cache.erase(cache_key)

	cache_misses += 1
	var path := _run_a_star(start, goal, allowed_layers, allowed_access_ids)
	if path.is_empty():
		return _route_failure(_diagnose_no_route_reason(
			start,
			goal,
			allowed_layers,
			allowed_access_ids
		))
	_path_cache[cache_key] = _copy_path(path)
	last_no_route_reason = ROUTE_OK
	last_path_cost = _calculate_path_cost_for_access(path, allowed_access_ids)
	last_error = ""
	return path


func find_path_report(
	start: Vector3i,
	goal: Vector3i,
	access_layers: Variant = null,
	connector_access: Variant = null
) -> Dictionary:
	var path := find_path(start, goal, access_layers, connector_access)
	return {
		&"reachable": not path.is_empty(),
		&"reason": last_no_route_reason,
		&"cost": last_path_cost,
		&"path": path,
		&"graph_revision": graph_revision,
		&"traffic_revision": traffic_revision,
	}


func calculate_path_cost(path: Array, connector_access: Variant = null) -> int:
	var access_result := _normalize_access_ids(connector_access)
	if not access_result[&"ok"]:
		last_error = access_result[&"error"]
		return -1
	var total := _calculate_path_cost_for_access(path, access_result[&"values"])
	last_error = "" if total >= 0 else "Path contains an unavailable edge."
	return total


func _calculate_path_cost_for_access(
	path: Array,
	allowed_access_ids: Array[StringName]
) -> int:
	if path.is_empty():
		return 0
	var total := 0
	for index: int in range(1, path.size()):
		var from_cell: Variant = path[index - 1]
		var to_cell: Variant = path[index]
		if not from_cell is Vector3i or not to_cell is Vector3i:
			return -1
		var edge := _find_edge(from_cell, to_cell, allowed_access_ids)
		if edge.is_empty():
			return -1
		total += _edge_total_cost(edge)
	return total


func invalidate_cache_for_cells(cells: Variant) -> int:
	var normalization := _normalize_cell_set(cells, false)
	if not normalization[&"ok"]:
		last_error = normalization[&"error"]
		return 0
	var affected: Dictionary = normalization[&"cells"]
	var keys_to_remove: Array = []
	for cache_key: Variant in _path_cache:
		var cached_path: Array = _path_cache[cache_key]
		if cached_path.is_empty() or _path_touches(cached_path, affected):
			keys_to_remove.append(cache_key)
	for cache_key: Variant in keys_to_remove:
		_path_cache.erase(cache_key)
	last_error = ""
	return keys_to_remove.size()


func invalidate_local_cache(cells: Variant) -> int:
	return invalidate_cache_for_cells(cells)


func invalidate_all_cache() -> int:
	var removed := _path_cache.size()
	_path_cache.clear()
	return removed


func cached_path_count() -> int:
	return _path_cache.size()


func has_cell(cell: Vector3i) -> bool:
	return _passable_cells.has(cell)


func has_connector(connector_id: StringName) -> bool:
	return _connectors.has(connector_id)


func get_connector(connector_id: StringName) -> Dictionary:
	if not _connectors.has(connector_id):
		return {}
	return (_connectors[connector_id] as Dictionary).duplicate(true)


## Resolves the same cheapest accessible edge that find_path/calculate_path_cost
## use, so a movement driver can distinguish riding from an ordinary step.
func get_edge_report(from_cell: Vector3i, to_cell: Vector3i, connector_access: Variant = null) -> Dictionary:
	var normalized := _normalize_access_ids(connector_access)
	if not bool(normalized[&"ok"]):
		last_error = String(normalized[&"error"])
		return {}
	if _cell_is_temporarily_blocked(from_cell) or _cell_is_temporarily_blocked(to_cell):
		return {}
	var edge := _find_edge(from_cell, to_cell, normalized[&"values"])
	if edge.is_empty():
		return {}
	var report := edge.duplicate(true)
	report[&"from"] = from_cell
	report[&"total_cost"] = _edge_total_cost(edge)
	return report


func get_step_connector(from_cell: Vector3i, to_cell: Vector3i, connector_access: Variant = null) -> StringName:
	return StringName(get_edge_report(from_cell, to_cell, connector_access).get(&"connector_id", &""))


func get_neighbors(cell: Vector3i) -> Array:
	if not _adjacency.has(cell):
		return []
	return (_adjacency[cell] as Array).duplicate(true)


func record_actor_progress(actor_id: StringName, cell: Vector3i, absolute_minute: int) -> Dictionary:
	if actor_id.is_empty() or absolute_minute < 0:
		last_error = "Progress tracking requires an actor id and non-negative minute."
		return {&"ok": false, &"reason": &"INVALID_PROGRESS"}
	if _actor_progress.has(actor_id):
		var existing: Dictionary = _actor_progress[actor_id]
		if absolute_minute < int(existing[&"last_observed_at"]):
			last_error = "Actor progress time cannot move backwards."
			return {&"ok": false, &"reason": &"TIME_REVERSED"}
		var advanced: bool = existing[&"last_cell"] != cell
		existing[&"last_cell"] = cell
		existing[&"last_observed_at"] = absolute_minute
		if advanced:
			existing[&"last_progress_at"] = absolute_minute
			existing[&"stuck_reported_at"] = -1
		_actor_progress[actor_id] = existing
		last_error = ""
		return {
			&"ok": true,
			&"advanced": advanced,
			&"minutes_without_progress": absolute_minute - int(existing[&"last_progress_at"]),
		}
	_actor_progress[actor_id] = {
		&"actor_id": actor_id,
		&"last_cell": cell,
		&"last_progress_at": absolute_minute,
		&"last_observed_at": absolute_minute,
		&"stuck_reported_at": -1,
	}
	last_error = ""
	return {&"ok": true, &"advanced": true, &"minutes_without_progress": 0}


func get_actor_stuck_report(
	actor_id: StringName,
	absolute_minute: int,
	allowed_layers: Variant = null
) -> Dictionary:
	if not _actor_progress.has(actor_id):
		last_error = "Unknown actor progress id: %s" % actor_id
		return {
			&"ok": false,
			&"actor_id": actor_id,
			&"reason": &"PROGRESS_NOT_TRACKED",
			&"should_recover": false,
		}
	var progress: Dictionary = _actor_progress[actor_id]
	if absolute_minute < int(progress[&"last_observed_at"]):
		last_error = "Stuck evaluation time cannot move backwards."
		return {
			&"ok": false,
			&"actor_id": actor_id,
			&"reason": &"TIME_REVERSED",
			&"should_recover": false,
		}
	var minutes_without_progress := absolute_minute - int(progress[&"last_progress_at"])
	var should_recover := minutes_without_progress >= STUCK_THRESHOLD_MINUTES
	var recovery := {
		&"found": false,
		&"reason": &"NOT_STUCK",
	}
	if should_recover:
		recovery = find_nearest_walkable_recovery(progress[&"last_cell"], allowed_layers)
		if int(progress[&"stuck_reported_at"]) < 0:
			progress[&"stuck_reported_at"] = absolute_minute
	progress[&"last_observed_at"] = absolute_minute
	_actor_progress[actor_id] = progress
	last_error = ""
	return {
		&"ok": true,
		&"actor_id": actor_id,
		&"reason": &"STUCK" if should_recover else &"PROGRESS_RECENT",
		&"should_recover": should_recover,
		&"threshold_minutes": STUCK_THRESHOLD_MINUTES,
		&"minutes_without_progress": minutes_without_progress,
		&"last_cell": progress[&"last_cell"],
		&"recovery": recovery,
		&"requires_explicit_move": should_recover,
	}


func check_actor_stuck(
	actor_id: StringName,
	absolute_minute: int,
	allowed_layers: Variant = null
) -> Dictionary:
	return get_actor_stuck_report(actor_id, absolute_minute, allowed_layers)


func clear_actor_progress(actor_id: StringName) -> bool:
	if not _actor_progress.has(actor_id):
		return false
	_actor_progress.erase(actor_id)
	return true


func find_nearest_walkable_recovery(
	origin: Vector3i,
	allowed_layers: Variant = null
) -> Dictionary:
	var normalized := _normalize_access_layers(allowed_layers)
	if not normalized[&"ok"]:
		return {&"found": false, &"reason": &"INVALID_ACCESS_LAYERS"}
	var layers: Array[int] = normalized[&"values"]
	var candidates: Array[Vector3i] = []
	for cell_value: Variant in _passable_cells:
		var cell: Vector3i = cell_value
		if cell.z in layers and not _cell_is_temporarily_blocked(cell):
			candidates.append(cell)
	if candidates.is_empty():
		return {&"found": false, &"reason": &"NO_SAFE_WALKABLE_CELL"}
	candidates.sort_custom(func(left: Vector3i, right: Vector3i) -> bool:
		var left_distance := _recovery_distance(origin, left)
		var right_distance := _recovery_distance(origin, right)
		if left_distance != right_distance:
			return left_distance < right_distance
		return _coordinate_less(left, right)
	)
	var target: Vector3i = candidates[0]
	if _vertical_walk_requires_connector:
		var reachable := false
		for candidate: Vector3i in candidates:
			if _route_exists_with_overrides(origin, candidate, layers, [], true, false):
				target = candidate
				reachable = true
				break
		if not reachable:
			return {&"found": false, &"reason": &"NO_SAFE_WALKABLE_CELL"}
	return {
		&"found": true,
		&"reason": &"SAFE_WALKABLE_CELL",
		&"cell": target,
		&"distance": _recovery_distance(origin, target),
		&"implicit_move_applied": false,
	}


func create_snapshot() -> Dictionary:
	var connector_ids: Array = _connectors.keys()
	connector_ids.sort_custom(Callable(self, "_string_name_less"))
	var saved_connectors: Array = []
	for connector_id: Variant in connector_ids:
		var connector: Dictionary = (_connectors[connector_id] as Dictionary).duplicate(true)
		var queue: Array = connector[&"request_queue"]
		queue.sort_custom(Callable(self, "_elevator_request_base_less"))
		connector[&"request_queue"] = queue
		saved_connectors.append(connector)

	var cells: Array = _passable_cells.keys()
	cells.sort_custom(Callable(self, "_coordinate_less"))
	var saved_cell_traffic: Array = []
	for cell_value: Variant in cells:
		var cell: Vector3i = cell_value
		var traffic: Dictionary = _cell_traffic.get(cell, _default_cell_traffic())
		saved_cell_traffic.append({
			&"cell": cell,
			&"base_capacity": int(traffic[&"base_capacity"]),
			&"current_density": int(traffic[&"current_density"]),
			&"dynamic_cost": int(traffic[&"dynamic_cost"]),
			&"temporary_block": bool(traffic[&"temporary_block"]),
		})

	var actor_ids: Array = _actor_cells.keys()
	actor_ids.sort_custom(Callable(self, "_string_name_less"))
	var saved_actor_cells: Array = []
	for actor_id: Variant in actor_ids:
		saved_actor_cells.append({
			&"actor_id": StringName(actor_id),
			&"cell": _actor_cells[actor_id],
		})

	var progress_ids: Array = _actor_progress.keys()
	progress_ids.sort_custom(Callable(self, "_string_name_less"))
	var saved_progress: Array = []
	for actor_id: Variant in progress_ids:
		saved_progress.append((_actor_progress[actor_id] as Dictionary).duplicate(true))

	var known_request_ids: Array = _known_elevator_request_ids.keys()
	known_request_ids.sort_custom(Callable(self, "_string_name_less"))
	var saved_known_requests: Array[StringName] = []
	for request_id: Variant in known_request_ids:
		saved_known_requests.append(StringName(request_id))
	var active_unit_ids: Array = _active_elevator_units.keys()
	active_unit_ids.sort_custom(Callable(self, "_string_name_less"))
	var saved_active_units: Array = []
	for unit_id: Variant in active_unit_ids:
		saved_active_units.append((_active_elevator_units[unit_id] as Dictionary).duplicate(true))
	var saved_vertical_blockers: Array[Dictionary] = []
	for owner_id: StringName in _sorted_name_keys(_vertical_walk_blockers):
		saved_vertical_blockers.append({&"owner_id": owner_id, &"cells": (_vertical_walk_blockers[owner_id] as Array).duplicate()})
	return {
		&"schema_version": SNAPSHOT_VERSION,
		&"graph_revision": graph_revision,
		&"traffic_revision": traffic_revision,
		&"connectors": saved_connectors,
		&"cell_traffic": saved_cell_traffic,
		&"actor_cells": saved_actor_cells,
		&"actor_progress": saved_progress,
		&"known_elevator_request_ids": saved_known_requests,
		&"active_elevator_units": saved_active_units,
		&"vertical_walk_blockers": saved_vertical_blockers,
		&"vertical_walk_requires_connector": _vertical_walk_requires_connector,
		&"transit_actor_ids": get_transit_actor_ids(),
	}


func restore_snapshot(snapshot: Dictionary) -> bool:
	var version := int(_dictionary_value(snapshot, &"schema_version", -1))
	if version not in [LEGACY_SNAPSHOT_VERSION, TRAFFIC_SNAPSHOT_VERSION, ELEVATOR_INDEX_SNAPSHOT_VERSION, SHAFT_SNAPSHOT_VERSION, SNAPSHOT_VERSION]:
		last_error = "Unsupported PathService snapshot version: %d" % version
		return false
	if version < SHAFT_SNAPSHOT_VERSION and (snapshot.has(&"vertical_walk_blockers") or snapshot.has("vertical_walk_blockers")):
		last_error = "Legacy PathService snapshots cannot contain shaft ownership fields."
		return false
	if version < SNAPSHOT_VERSION and (snapshot.has(&"vertical_walk_requires_connector") or snapshot.has("vertical_walk_requires_connector") \
			or snapshot.has(&"transit_actor_ids") or snapshot.has("transit_actor_ids")):
		last_error = "Legacy PathService snapshots cannot contain vertical policy or transit fields."
		return false
	var next_vertical_policy := false
	if version >= SNAPSHOT_VERSION:
		var policy_value: Variant = _dictionary_value(snapshot, &"vertical_walk_requires_connector", null)
		if typeof(policy_value) != TYPE_BOOL:
			last_error = "PathService vertical movement policy must be a bool."
			return false
		next_vertical_policy = bool(policy_value)
	var raw_connectors: Variant = _dictionary_value(snapshot, &"connectors", null)
	if not raw_connectors is Array:
		last_error = "PathService snapshot connectors must be an Array."
		return false
	var connector_result := _normalize_connector_collection(raw_connectors)
	if not connector_result[&"ok"]:
		last_error = connector_result[&"error"]
		return false
	var next_connectors: Dictionary = connector_result[&"connectors"]
	var next_known_requests: Dictionary = connector_result[&"known_request_ids"]
	var next_active_units: Dictionary = connector_result[&"active_units"]

	if version == LEGACY_SNAPSHOT_VERSION:
		var changed := next_connectors != _connectors or not _vertical_walk_blockers.is_empty() or _vertical_walk_requires_connector
		_vertical_walk_blockers.clear()
		_vertical_walk_requires_connector = false
		_transit_actor_ids.clear()
		_rebuild_vertical_walk_blocked_cells()
		_connectors = next_connectors
		_cell_traffic.clear()
		_actor_cells.clear()
		_actor_progress.clear()
		_known_elevator_request_ids = next_known_requests
		_active_elevator_units = next_active_units
		traffic_revision = 0
		_pending_graph_revision = -1
		_traffic_loaded_without_graph = false
		_ensure_cell_traffic_for_graph(_passable_cells, true)
		_rebuild_derived_graph()
		if changed:
			_mark_graph_changed()
		else:
			invalidate_all_cache()
		last_error = ""
		return true

	var saved_graph_revision := int(_dictionary_value(snapshot, &"graph_revision", -1))
	var saved_traffic_revision := int(_dictionary_value(snapshot, &"traffic_revision", -1))
	var raw_cell_traffic: Variant = _dictionary_value(snapshot, &"cell_traffic", null)
	var raw_actor_cells: Variant = _dictionary_value(snapshot, &"actor_cells", null)
	var raw_progress: Variant = _dictionary_value(snapshot, &"actor_progress", null)
	if saved_graph_revision < 0 or saved_traffic_revision < 0 \
		or not raw_cell_traffic is Array \
		or not raw_actor_cells is Array \
		or not raw_progress is Array:
		last_error = "PathService traffic snapshot fields are missing or invalid."
		return false

	var traffic_result := _normalize_snapshot_cell_traffic(raw_cell_traffic)
	if not traffic_result[&"ok"]:
		last_error = traffic_result[&"error"]
		return false
	var next_traffic: Dictionary = traffic_result[&"traffic"]
	var actor_result := _normalize_snapshot_actor_cells(raw_actor_cells, next_traffic)
	if not actor_result[&"ok"]:
		last_error = actor_result[&"error"]
		return false
	var next_actor_cells: Dictionary = actor_result[&"actor_cells"]
	var progress_result := _normalize_snapshot_actor_progress(raw_progress)
	if not progress_result[&"ok"]:
		last_error = progress_result[&"error"]
		return false
	var next_progress: Dictionary = progress_result[&"progress"]
	if version >= ELEVATOR_INDEX_SNAPSHOT_VERSION:
		var raw_known_requests: Variant = _dictionary_value(
			snapshot,
			&"known_elevator_request_ids",
			null
		)
		var raw_active_units: Variant = _dictionary_value(snapshot, &"active_elevator_units", null)
		if not raw_known_requests is Array or not raw_active_units is Array:
			last_error = "PathService v3 elevator request indexes are missing or invalid."
			return false
		var index_result := _normalize_snapshot_elevator_indexes(
			raw_known_requests,
			raw_active_units,
			next_connectors,
			connector_result[&"active_units"]
		)
		if not index_result[&"ok"]:
			last_error = index_result[&"error"]
			return false
		next_known_requests = index_result[&"known_request_ids"]
		next_active_units = index_result[&"active_units"]
	var next_vertical_blockers: Dictionary = {}
	if version >= SHAFT_SNAPSHOT_VERSION:
		var blockers_result := _normalize_snapshot_vertical_blockers(_dictionary_value(snapshot, &"vertical_walk_blockers", null), next_traffic)
		if not bool(blockers_result[&"ok"]):
			last_error = String(blockers_result[&"error"])
			return false
		next_vertical_blockers = blockers_result[&"blockers"]
	var next_transit := _derive_transit_actor_ids(next_actor_cells, next_active_units)
	if version >= SNAPSHOT_VERSION:
		var transit_value: Variant = _dictionary_value(snapshot, &"transit_actor_ids", null)
		if not _transit_snapshot_matches(transit_value, next_transit):
			last_error = "PathService transit actors must match projected boarded elevator units."
			return false
	if not _snapshot_densities_match(next_traffic, next_actor_cells, next_transit if version >= SNAPSHOT_VERSION else {}):
		last_error = "PathService snapshot density does not match actor projections."
		return false
	if not _passable_cells.is_empty():
		if next_traffic.size() != _passable_cells.size():
			last_error = "PathService snapshot traffic topology does not match the current graph."
			return false
		for cell_value: Variant in next_traffic:
			if not _passable_cells.has(cell_value):
				last_error = "PathService snapshot traffic references an unknown cell."
				return false

	_connectors = next_connectors
	_vertical_walk_blockers = next_vertical_blockers
	_vertical_walk_requires_connector = next_vertical_policy
	_transit_actor_ids = next_transit
	_rebuild_vertical_walk_blocked_cells()
	_cell_traffic = next_traffic
	_actor_cells = next_actor_cells
	_actor_progress = next_progress
	_known_elevator_request_ids = next_known_requests
	_active_elevator_units = next_active_units
	traffic_revision = saved_traffic_revision
	# Older snapshots counted passengers at their boarding anchor. Validate that
	# old rule above before a one-time migration to physical floor occupancy.
	if version < SNAPSHOT_VERSION and not _transit_actor_ids.is_empty():
		_recompute_all_densities()
		traffic_revision += 1
	_pending_graph_revision = saved_graph_revision if _passable_cells.is_empty() else -1
	_traffic_loaded_without_graph = _passable_cells.is_empty() and not next_traffic.is_empty()
	if not _passable_cells.is_empty():
		graph_revision = saved_graph_revision
	_rebuild_derived_graph()
	invalidate_all_cache()
	last_no_route_reason = ROUTE_OK
	last_path_cost = 0
	last_error = ""
	return true


func _rebuild_derived_graph() -> void:
	_adjacency.clear()
	var cells: Array = _passable_cells.keys()
	cells.sort_custom(Callable(self, "_coordinate_less"))
	for cell_value: Variant in cells:
		var cell: Vector3i = cell_value
		_adjacency[cell] = []

	for cell_value: Variant in cells:
		var cell: Vector3i = cell_value
		for direction in _CARDINAL_DIRECTIONS:
			var neighbor := cell + direction
			if _passable_cells.has(neighbor) and _ordinary_walk_edge_allowed(cell, neighbor):
				_append_edge(
					cell,
					neighbor,
					ORTHOGONAL_MOVE_COST,
					&"",
					&"",
					MOVEMENT_WALK
				)

	var connector_ids: Array = _connectors.keys()
	connector_ids.sort_custom(Callable(self, "_string_name_less"))
	for connector_id_value: Variant in connector_ids:
		var connector_id: StringName = connector_id_value
		var connector: Dictionary = _connectors[connector_id]
		if not _connector_is_operational(connector):
			continue
		var from_cell: Vector3i = connector[&"from"]
		var to_cell: Vector3i = connector[&"to"]
		if not _passable_cells.has(from_cell) or not _passable_cells.has(to_cell):
			continue
		var cost: int = connector[&"cost"]
		var access_id: StringName = connector[&"access_id"]
		var movement_type: StringName = connector[&"movement_type"]
		_append_edge(from_cell, to_cell, cost, connector_id, access_id, movement_type)
		if bool(connector[&"bidirectional"]):
			_append_edge(to_cell, from_cell, cost, connector_id, access_id, movement_type)

	for cell_value: Variant in cells:
		var edges: Array = _adjacency[cell_value]
		edges.sort_custom(Callable(self, "_edge_less"))
		_adjacency[cell_value] = edges


func _append_edge(
	from_cell: Vector3i,
	to_cell: Vector3i,
	cost: int,
	connector_id: StringName,
	access_id: StringName,
	movement_type: StringName
) -> void:
	var edges: Array = _adjacency[from_cell]
	edges.append({
		&"to": to_cell,
		&"cost": cost,
		&"base_cost": cost,
		&"connector_id": connector_id,
		&"access_id": access_id,
		&"movement_type": movement_type,
	})
	_adjacency[from_cell] = edges


func _run_a_star(
	start: Vector3i,
	goal: Vector3i,
	allowed_layers: Array[int],
	allowed_access_ids: Array[StringName]
) -> Array[Vector3i]:
	if start == goal:
		return [start]

	var open_set: Dictionary = {start: true}
	var closed_set: Dictionary = {}
	var came_from: Dictionary = {}
	var g_score: Dictionary = {start: 0}

	while not open_set.is_empty():
		var current := _select_best_open_node(open_set, g_score, goal)
		if current == goal:
			return _reconstruct_path(came_from, current)

		open_set.erase(current)
		closed_set[current] = true
		var edges: Array = _adjacency.get(current, [])
		for edge_value: Variant in edges:
			var edge: Dictionary = edge_value
			var neighbor: Vector3i = edge[&"to"]
			if neighbor.z not in allowed_layers \
				or _cell_is_temporarily_blocked(neighbor) \
				or not _edge_meets_vertical_policy(current, edge) \
				or not _edge_is_accessible(edge, allowed_access_ids):
				continue
			var tentative_cost: int = int(g_score[current]) + _edge_total_cost(edge)
			var known_cost: int = int(g_score.get(neighbor, _INFINITE_COST))
			var better_parent := false
			if tentative_cost == known_cost and came_from.has(neighbor):
				better_parent = _coordinate_less(current, came_from[neighbor])
			if tentative_cost > known_cost or (tentative_cost == known_cost and not better_parent):
				continue

			came_from[neighbor] = current
			g_score[neighbor] = tentative_cost
			if closed_set.has(neighbor):
				closed_set.erase(neighbor)
			open_set[neighbor] = true

	return []


func _select_best_open_node(open_set: Dictionary, g_score: Dictionary, goal: Vector3i) -> Vector3i:
	var best := Vector3i.ZERO
	var has_best := false
	var best_score := _INFINITE_COST
	for candidate_value: Variant in open_set:
		var candidate: Vector3i = candidate_value
		var score: int = int(g_score[candidate]) + _heuristic(candidate, goal)
		if not has_best or score < best_score:
			best = candidate
			best_score = score
			has_best = true
		elif score == best_score and _coordinate_less(candidate, best):
			best = candidate
	return best


func _heuristic(from_cell: Vector3i, to_cell: Vector3i) -> int:
	# A connector may be cheaper than the geometric distance. In that case zero is
	# the conservative admissible heuristic; without connectors Manhattan is exact.
	if not _connectors.is_empty() or from_cell.z != to_cell.z:
		return 0
	return (absi(from_cell.x - to_cell.x) + absi(from_cell.y - to_cell.y)) * ORTHOGONAL_MOVE_COST


func _reconstruct_path(came_from: Dictionary, goal: Vector3i) -> Array[Vector3i]:
	var reversed_path: Array[Vector3i] = [goal]
	var current := goal
	var maximum_length := _adjacency.size() + 1
	while came_from.has(current) and reversed_path.size() <= maximum_length:
		current = came_from[current]
		reversed_path.append(current)
	reversed_path.reverse()
	return reversed_path


func _edge_meets_vertical_policy(from_cell: Vector3i, edge: Dictionary) -> bool:
	return not _vertical_walk_requires_connector or from_cell.y == (edge[&"to"] as Vector3i).y \
		or not StringName(edge[&"connector_id"]).is_empty() or edge[&"movement_type"] != MOVEMENT_WALK


func _edge_is_accessible(edge: Dictionary, allowed_access_ids: Array[StringName]) -> bool:
	var required_access: StringName = edge[&"access_id"]
	if not required_access.is_empty() and required_access not in allowed_access_ids:
		return false
	var connector_id: StringName = edge[&"connector_id"]
	if connector_id.is_empty():
		return true
	return _connectors.has(connector_id) and _connector_is_operational(_connectors[connector_id])


func _edge_total_cost(edge: Dictionary) -> int:
	var to_cell: Vector3i = edge[&"to"]
	var total := int(edge.get(&"base_cost", edge.get(&"cost", ORTHOGONAL_MOVE_COST)))
	total += get_cell_dynamic_cost(to_cell)
	var connector_id: StringName = edge.get(&"connector_id", &"")
	if connector_id.is_empty() or not _connectors.has(connector_id):
		return total
	var connector: Dictionary = _connectors[connector_id]
	total += int(connector[&"dynamic_cost"])
	if connector[&"movement_type"] == MOVEMENT_ELEVATOR:
		total += estimate_elevator_wait_cost(connector_id)
		var from_cell: Vector3i = connector[&"from"]
		var destination: Vector3i = connector[&"to"]
		var floor_distance := absi(destination.y - from_cell.y)
		total += floor_distance * int(connector[&"travel_minutes_per_floor"]) * ORTHOGONAL_MOVE_COST
	return total


func _find_edge(
	from_cell: Vector3i,
	to_cell: Vector3i,
	allowed_access_ids: Variant = null
) -> Dictionary:
	var best: Dictionary = {}
	var best_cost := _INFINITE_COST
	for edge_value: Variant in _adjacency.get(from_cell, []):
		var edge: Dictionary = edge_value
		if edge[&"to"] != to_cell:
			continue
		if not _edge_meets_vertical_policy(from_cell, edge):
			continue
		if allowed_access_ids is Array and not _edge_is_accessible(edge, allowed_access_ids):
			continue
		var cost := _edge_total_cost(edge)
		if best.is_empty() or cost < best_cost \
			or (cost == best_cost and _edge_less(edge, best)):
			best = edge
			best_cost = cost
	return best


func _path_is_currently_valid(
	path: Array,
	allowed_layers: Array[int],
	allowed_access_ids: Array[StringName]
) -> bool:
	if path.is_empty():
		return false
	for cell_value: Variant in path:
		if not cell_value is Vector3i:
			return false
		var cell: Vector3i = cell_value
		if not _passable_cells.has(cell) or cell.z not in allowed_layers \
			or _cell_is_temporarily_blocked(cell):
			return false
	for index: int in range(1, path.size()):
		var edge := _find_edge(path[index - 1], path[index], allowed_access_ids)
		if edge.is_empty():
			return false
	return true


func _route_failure(reason: StringName) -> Array[Vector3i]:
	last_no_route_reason = reason
	last_path_cost = 0
	last_error = str(reason)
	return []


func _cell_is_temporarily_blocked(cell: Vector3i) -> bool:
	var traffic: Dictionary = _cell_traffic.get(cell, {})
	return not traffic.is_empty() and bool(traffic[&"temporary_block"])


func _diagnose_no_route_reason(
	start: Vector3i,
	goal: Vector3i,
	allowed_layers: Array[int],
	allowed_access_ids: Array[StringName]
) -> StringName:
	# Diagnose only obstacles which actually separate this start/goal pair.  A
	# stopped lift or blocked cell in another disconnected region must not leak
	# into this route's reason.
	if _route_exists_with_overrides(
		start,
		goal,
		allowed_layers,
		allowed_access_ids,
		true,
		false
	):
		return ROUTE_TEMPORARILY_BLOCKED
	if _route_exists_with_overrides(
		start,
		goal,
		allowed_layers,
		allowed_access_ids,
		false,
		true
	):
		return ROUTE_CONNECTOR_UNAVAILABLE
	return ROUTE_GOAL_UNREACHABLE


func _route_exists_with_overrides(
	start: Vector3i,
	goal: Vector3i,
	allowed_layers: Array[int],
	allowed_access_ids: Array[StringName],
	allow_blocked_cells: bool,
	allow_unavailable_connectors: bool
) -> bool:
	var frontier: Array[Vector3i] = [start]
	var visited: Dictionary = {start: true}
	var cursor := 0
	var connector_ids := _sorted_name_keys(_connectors)
	while cursor < frontier.size():
		var current: Vector3i = frontier[cursor]
		cursor += 1
		if current == goal:
			return true
		var neighbor_set: Dictionary = {}
		for direction: Vector3i in _CARDINAL_DIRECTIONS:
			var neighbor := current + direction
			if _passable_cells.has(neighbor) and _ordinary_walk_edge_allowed(current, neighbor) \
					and (not _vertical_walk_requires_connector or current.y == neighbor.y):
				neighbor_set[neighbor] = true
		for connector_id: StringName in connector_ids:
			var connector: Dictionary = _connectors[connector_id]
			var required_access: StringName = connector[&"access_id"]
			if not required_access.is_empty() and required_access not in allowed_access_ids:
				continue
			if not allow_unavailable_connectors and not _connector_is_operational(connector):
				continue
			var from_cell: Vector3i = connector[&"from"]
			var to_cell: Vector3i = connector[&"to"]
			if current == from_cell:
				neighbor_set[to_cell] = true
			elif bool(connector[&"bidirectional"]) and current == to_cell:
				neighbor_set[from_cell] = true
		var neighbors: Array = neighbor_set.keys()
		neighbors.sort_custom(Callable(self, "_coordinate_less"))
		for neighbor_value: Variant in neighbors:
			var neighbor: Vector3i = neighbor_value
			if visited.has(neighbor) or neighbor.z not in allowed_layers:
				continue
			if not allow_blocked_cells and _cell_is_temporarily_blocked(neighbor):
				continue
			visited[neighbor] = true
			frontier.append(neighbor)
	return false


func _connector_is_operational(connector: Dictionary) -> bool:
	return bool(connector[&"enabled"]) \
		and connector[&"operational_state"] == CONNECTOR_OPERATIONAL \
		and (
			connector[&"movement_type"] != MOVEMENT_ELEVATOR
			or connector[&"cabin_state"] != CABIN_OUTAGE
		)


func _ensure_cell_traffic_for_graph(cells: Dictionary, reset_missing: bool) -> void:
	var next_traffic: Dictionary = {}
	for cell_value: Variant in cells:
		var cell: Vector3i = cell_value
		if _cell_traffic.has(cell):
			next_traffic[cell] = (_cell_traffic[cell] as Dictionary).duplicate(true)
		elif reset_missing:
			next_traffic[cell] = _default_cell_traffic()
		else:
			next_traffic[cell] = _default_cell_traffic()
	_cell_traffic = next_traffic
	var invalid_actor_ids: Array = []
	for actor_id: Variant in _actor_cells:
		if not cells.has(_actor_cells[actor_id]):
			invalid_actor_ids.append(actor_id)
	for actor_id: Variant in invalid_actor_ids:
		_actor_cells.erase(actor_id)
	_transit_actor_ids = _derive_transit_actor_ids(_actor_cells, _active_elevator_units)
	_recompute_all_densities()


func _default_cell_traffic() -> Dictionary:
	return {
		&"base_capacity": DEFAULT_CELL_CAPACITY,
		&"current_density": 0,
		&"dynamic_cost": 0,
		&"temporary_block": false,
	}


func _increment_density(cell: Vector3i) -> void:
	var traffic: Dictionary = _cell_traffic[cell]
	traffic[&"current_density"] = int(traffic[&"current_density"]) + 1
	_cell_traffic[cell] = traffic


func _decrement_density(cell: Vector3i) -> bool:
	if not _cell_traffic.has(cell):
		return false
	var traffic: Dictionary = _cell_traffic[cell]
	var density := int(traffic[&"current_density"])
	if density <= 0:
		return false
	traffic[&"current_density"] = density - 1
	_cell_traffic[cell] = traffic
	return true


func _recompute_all_densities() -> void:
	for cell_value: Variant in _cell_traffic:
		var traffic: Dictionary = _cell_traffic[cell_value]
		traffic[&"current_density"] = 0
		_cell_traffic[cell_value] = traffic
	for actor_id: Variant in _actor_cells:
		var cell: Vector3i = _actor_cells[actor_id]
		if _cell_traffic.has(cell) and not is_actor_in_transit(actor_id):
			_increment_density(cell)


static func _derive_transit_actor_ids(actor_cells: Dictionary, active_units: Dictionary) -> Dictionary:
	var transit: Dictionary = {}
	for actor_id: Variant in active_units:
		if actor_cells.has(actor_id) and active_units[actor_id][&"state"] == ELEVATOR_REQUEST_BOARDED:
			transit[actor_id] = true
	return transit


func _refresh_transit_actor_ids() -> void:
	var next := _derive_transit_actor_ids(_actor_cells, _active_elevator_units)
	if next == _transit_actor_ids:
		return
	var changed_cells: Dictionary = {}
	var may_make_routes_cheaper := false
	for actor_id: Variant in next:
		if not _transit_actor_ids.has(actor_id):
			changed_cells[_actor_cells[actor_id]] = true
			may_make_routes_cheaper = true
	for actor_id: Variant in _transit_actor_ids:
		if not next.has(actor_id) and _actor_cells.has(actor_id):
			changed_cells[_actor_cells[actor_id]] = true
	_transit_actor_ids = next
	_recompute_all_densities()
	if not changed_cells.is_empty():
		_mark_traffic_changed(changed_cells.keys(), may_make_routes_cheaper)


static func _transit_snapshot_matches(raw_ids: Variant, expected: Dictionary) -> bool:
	if not raw_ids is Array or raw_ids.size() != expected.size():
		return false
	var previous := ""
	for value: Variant in raw_ids:
		if typeof(value) not in [TYPE_STRING, TYPE_STRING_NAME] or String(value).is_empty() \
				or not expected.has(StringName(value)) or (not previous.is_empty() and String(value) <= previous):
			return false
		previous = String(value)
	return true


func _mark_traffic_changed(cells: Variant, may_make_routes_cheaper: bool = false) -> void:
	traffic_revision += 1
	if may_make_routes_cheaper:
		# A cached path cannot know which non-selected alternatives were explored.
		# Cost decreases and block removal therefore invalidate broadly for
		# correctness; cost increases remain locally invalidated.
		invalidate_all_cache()
	else:
		invalidate_cache_for_cells(cells)


func _mark_connector_traffic_changed(
	connector: Dictionary,
	may_make_routes_cheaper: bool = false
) -> void:
	_mark_traffic_changed(
		[connector[&"from"], connector[&"to"]],
		may_make_routes_cheaper
	)


func _traffic_effective_cost(traffic: Dictionary) -> int:
	return int(traffic[&"dynamic_cost"]) + maxi(
		0,
		int(traffic[&"current_density"]) - int(traffic[&"base_capacity"])
	) * CONGESTION_COST_PER_EXCESS


func _queue_failure(reason: StringName, message: String) -> Dictionary:
	last_error = message
	return {&"ok": false, &"reason": reason, &"error": message}


func _normalize_elevator_request(raw: Dictionary) -> Dictionary:
	var request_id := StringName(str(_dictionary_value(raw, &"request_id", "")))
	var unit_id := StringName(str(_dictionary_value(raw, &"unit_id", "")))
	var floor_from_value: Variant = _dictionary_value(raw, &"floor_from", null)
	var floor_to_value: Variant = _dictionary_value(raw, &"floor_to", null)
	var enqueued_at_value: Variant = _dictionary_value(raw, &"enqueued_at", null)
	if request_id.is_empty() or unit_id.is_empty():
		return {&"ok": false, &"error": "Elevator request and unit ids must not be empty."}
	if not floor_from_value is int or not floor_to_value is int or not enqueued_at_value is int:
		return {&"ok": false, &"error": "Elevator floors and enqueue minute must be integers."}
	var floor_from := int(floor_from_value)
	var floor_to := int(floor_to_value)
	var enqueued_at := int(enqueued_at_value)
	if floor_from == floor_to or enqueued_at < 0:
		return {&"ok": false, &"error": "Elevator request must change floors at a non-negative minute."}
	var expected_direction := &"UP" if floor_to > floor_from else &"DOWN"
	var direction := StringName(str(_dictionary_value(raw, &"direction", expected_direction)))
	if direction != expected_direction:
		return {&"ok": false, &"error": "Elevator request direction disagrees with its floors."}
	var priority_result := _normalize_elevator_priority(_dictionary_value(
		raw,
		&"priority",
		ELEVATOR_PRIORITY_NORMAL
	))
	if not priority_result[&"ok"]:
		return priority_result
	return {
		&"ok": true,
		&"request": {
			&"request_id": request_id,
			&"unit_id": unit_id,
			&"floor_from": floor_from,
			&"floor_to": floor_to,
			&"direction": direction,
			&"priority": int(priority_result[&"priority"]),
			&"enqueued_at": enqueued_at,
		},
	}


func _normalize_elevator_priority(value: Variant) -> Dictionary:
	if value is int:
		var priority := int(value)
		if priority < ELEVATOR_PRIORITY_RESCUE or priority > ELEVATOR_PRIORITY_NORMAL:
			return {&"ok": false, &"error": "Elevator priority is outside the supported range."}
		return {&"ok": true, &"priority": priority}
	if value is String or value is StringName:
		var key := StringName(str(value).to_upper())
		var priorities := {
			&"RESCUE": ELEVATOR_PRIORITY_RESCUE,
			&"SECURITY": ELEVATOR_PRIORITY_SECURITY,
			&"PROTAGONIST": ELEVATOR_PRIORITY_PROTAGONIST,
			&"VIP": ELEVATOR_PRIORITY_VIP,
			&"NORMAL": ELEVATOR_PRIORITY_NORMAL,
		}
		if priorities.has(key):
			return {&"ok": true, &"priority": priorities[key]}
	return {&"ok": false, &"error": "Elevator priority must be a known name or integer."}


func _elevator_request_base_less(left: Variant, right: Variant) -> bool:
	var left_request: Dictionary = left
	var right_request: Dictionary = right
	return _compare_elevator_requests(left_request, right_request, -1)


func _elevator_request_less_at(
	left: Dictionary,
	right: Dictionary,
	absolute_minute: int
) -> bool:
	return _compare_elevator_requests(left, right, absolute_minute)


func _compare_elevator_requests(
	left: Dictionary,
	right: Dictionary,
	absolute_minute: int
) -> bool:
	var left_priority := _effective_elevator_priority(left, absolute_minute)
	var right_priority := _effective_elevator_priority(right, absolute_minute)
	if left_priority != right_priority:
		return left_priority < right_priority
	var left_enqueued := int(left[&"enqueued_at"])
	var right_enqueued := int(right[&"enqueued_at"])
	if left_enqueued != right_enqueued:
		return left_enqueued < right_enqueued
	var left_unit := str(left[&"unit_id"])
	var right_unit := str(right[&"unit_id"])
	if left_unit != right_unit:
		return left_unit < right_unit
	return str(left[&"request_id"]) < str(right[&"request_id"])


func _effective_elevator_priority(request: Dictionary, absolute_minute: int) -> int:
	var priority := int(request[&"priority"])
	if absolute_minute >= 0 \
		and priority == ELEVATOR_PRIORITY_NORMAL \
		and absolute_minute - int(request[&"enqueued_at"]) >= ELEVATOR_STARVATION_MINUTES:
		return ELEVATOR_PRIORITY_VIP - 1
	return priority


func _normalize_cell_set(raw_cells: Variant, validate_layers := true) -> Dictionary:
	if not (raw_cells is Array) and not (raw_cells is Dictionary):
		return {
			&"ok": false,
			&"error": "Passable cells must be an Array or Dictionary set.",
		}

	var values: Array = []
	if raw_cells is Array:
		values = raw_cells
	else:
		for key: Variant in raw_cells:
			if bool(raw_cells[key]):
				values.append(key)

	var cells: Dictionary = {}
	for value: Variant in values:
		if not value is Vector3i:
			return {
				&"ok": false,
				&"error": "Every passable coordinate must be a Vector3i.",
			}
		var cell: Vector3i = value
		if validate_layers and not _is_valid_layer(cell.z):
			return {
				&"ok": false,
				&"error": "Coordinate layer must be FRONT (0) or BACK (1): %s" % cell,
			}
		cells[cell] = true
	return {
		&"ok": true,
		&"cells": cells,
	}


func _normalize_connector(raw: Dictionary) -> Dictionary:
	var connector_id := StringName(str(_dictionary_value(raw, &"id", "")))
	var from_value: Variant = _dictionary_value(raw, &"from", null)
	var to_value: Variant = _dictionary_value(raw, &"to", null)
	var cost := int(_dictionary_value(raw, &"cost", DEFAULT_CONNECTOR_COST))
	var bidirectional := bool(_dictionary_value(raw, &"bidirectional", true))
	var access_id := StringName(str(_dictionary_value(raw, &"access_id", "")))
	var enabled := bool(_dictionary_value(raw, &"enabled", true))
	var movement_type := StringName(str(_dictionary_value(raw, &"movement_type", MOVEMENT_CONNECTOR)))
	var dynamic_cost := int(_dictionary_value(raw, &"dynamic_cost", 0))
	var operational_state := StringName(str(_dictionary_value(
		raw,
		&"operational_state",
		CONNECTOR_OPERATIONAL
	)))
	var cabin_capacity := int(_dictionary_value(raw, &"cabin_capacity", 8))
	var queue_capacity := int(_dictionary_value(raw, &"queue_capacity", 256))
	var cabin_state := StringName(str(_dictionary_value(raw, &"cabin_state", CABIN_IDLE)))
	var current_floor := int(_dictionary_value(
		raw,
		&"current_floor",
		from_value.y if from_value is Vector3i else 0
	))
	var travel_minutes_per_floor := int(_dictionary_value(raw, &"travel_minutes_per_floor", 1))
	var raw_queue: Variant = _dictionary_value(raw, &"request_queue", [])

	if connector_id.is_empty():
		return {&"ok": false, &"error": "Connector id must not be empty."}
	if not from_value is Vector3i or not to_value is Vector3i:
		return {&"ok": false, &"error": "Connector endpoints must be Vector3i coordinates."}
	var from_cell: Vector3i = from_value
	var to_cell: Vector3i = to_value
	if not _is_valid_layer(from_cell.z) or not _is_valid_layer(to_cell.z):
		return {&"ok": false, &"error": "Connector endpoint layer must be FRONT (0) or BACK (1)."}
	if from_cell == to_cell:
		return {&"ok": false, &"error": "Connector endpoints must differ."}
	if cost <= 0:
		return {&"ok": false, &"error": "Connector cost must be a positive integer."}
	if dynamic_cost < 0:
		return {&"ok": false, &"error": "Connector dynamic cost must be non-negative."}
	if movement_type not in [MOVEMENT_CONNECTOR, MOVEMENT_ELEVATOR]:
		return {&"ok": false, &"error": "Unsupported connector movement type: %s" % movement_type}
	if operational_state not in [
		CONNECTOR_OPERATIONAL,
		CONNECTOR_STOPPED,
		CONNECTOR_OUTAGE,
		CONNECTOR_MAINTENANCE,
	]:
		return {&"ok": false, &"error": "Unsupported connector operational state."}
	if cabin_capacity <= 0 or queue_capacity <= 0 or travel_minutes_per_floor <= 0:
		return {&"ok": false, &"error": "Elevator capacities and travel time must be positive."}
	if cabin_state not in [
		CABIN_IDLE,
		CABIN_MOVING_UP,
		CABIN_MOVING_DOWN,
		CABIN_DOOR_OPEN,
		CABIN_OUTAGE,
	]:
		return {&"ok": false, &"error": "Unsupported elevator cabin state."}
	if not raw_queue is Array:
		return {&"ok": false, &"error": "Connector request queue must be an Array."}
	var request_queue: Array = []
	var request_ids: Dictionary = {}
	for raw_request: Variant in raw_queue:
		if not raw_request is Dictionary:
			return {&"ok": false, &"error": "Elevator queue entries must be Dictionaries."}
		var normalized_request := _normalize_elevator_request(raw_request)
		if not normalized_request[&"ok"]:
			return normalized_request
		var request: Dictionary = normalized_request[&"request"]
		if request_ids.has(request[&"request_id"]):
			return {&"ok": false, &"error": "Duplicate elevator request id."}
		request_ids[request[&"request_id"]] = true
		request_queue.append(request)
	if request_queue.size() > queue_capacity:
		return {&"ok": false, &"error": "Elevator request queue exceeds configured capacity."}
	if movement_type != MOVEMENT_ELEVATOR and not request_queue.is_empty():
		return {&"ok": false, &"error": "Only elevator connectors can own requests."}
	request_queue.sort_custom(Callable(self, "_elevator_request_base_less"))
	if movement_type == MOVEMENT_ELEVATOR:
		if operational_state != CONNECTOR_OPERATIONAL:
			cabin_state = CABIN_OUTAGE
		elif cabin_state == CABIN_OUTAGE:
			return {&"ok": false, &"error": "An operational elevator cannot have OUTAGE cabin state."}
	else:
		# Cabin state has no semantic meaning for doors/stairs.  Keeping one fixed
		# canonical value prevents an OUTAGE connector from changing digest merely
		# by passing through snapshot normalization.
		cabin_state = CABIN_IDLE

	return {
		&"ok": true,
		&"connector": {
			&"id": connector_id,
			&"from": from_cell,
			&"to": to_cell,
			&"cost": cost,
			&"bidirectional": bidirectional,
			&"access_id": access_id,
			&"enabled": enabled,
			&"movement_type": movement_type,
			&"dynamic_cost": dynamic_cost,
			&"operational_state": operational_state,
			&"cabin_capacity": cabin_capacity,
			&"queue_capacity": queue_capacity,
			&"cabin_state": cabin_state,
			&"current_floor": current_floor,
			&"travel_minutes_per_floor": travel_minutes_per_floor,
			&"request_queue": request_queue,
		},
	}


func _normalize_connector_collection(raw_connectors: Array) -> Dictionary:
	var connectors: Dictionary = {}
	for raw_configuration: Variant in raw_connectors:
		if not raw_configuration is Dictionary:
			return {&"ok": false, &"error": "Connector configuration must be a Dictionary."}
		var normalized := _normalize_connector(raw_configuration)
		if not normalized[&"ok"]:
			return normalized
		var connector: Dictionary = normalized[&"connector"]
		var connector_id: StringName = connector[&"id"]
		if connectors.has(connector_id):
			return {&"ok": false, &"error": "Duplicate connector id: %s" % connector_id}
		connectors[connector_id] = connector
	var index_result := _derive_elevator_indexes_from_connectors(connectors)
	if not index_result[&"ok"]:
		return index_result
	return {
		&"ok": true,
		&"connectors": connectors,
		&"known_request_ids": index_result[&"known_request_ids"],
		&"active_units": index_result[&"active_units"],
	}


func _derive_elevator_indexes_from_connectors(connectors: Dictionary) -> Dictionary:
	var known_request_ids: Dictionary = {}
	var active_units: Dictionary = {}
	for connector_id: StringName in _sorted_name_keys(connectors):
		var connector: Dictionary = connectors[connector_id]
		for request_value: Variant in connector[&"request_queue"]:
			var request: Dictionary = request_value
			var request_id: StringName = request[&"request_id"]
			var unit_id: StringName = request[&"unit_id"]
			if known_request_ids.has(request_id):
				return {
					&"ok": false,
					&"error": "Elevator request id is duplicated across connectors: %s" % request_id,
				}
			if active_units.has(unit_id):
				return {
					&"ok": false,
					&"error": "Elevator unit has requests on multiple connectors: %s" % unit_id,
				}
			known_request_ids[request_id] = true
			active_units[unit_id] = {
				&"unit_id": unit_id,
				&"request_id": request_id,
				&"connector_id": connector_id,
				&"state": ELEVATOR_REQUEST_QUEUED,
			}
	return {
		&"ok": true,
		&"known_request_ids": known_request_ids,
		&"active_units": active_units,
	}


func _normalize_snapshot_elevator_indexes(
	raw_known_requests: Array,
	raw_active_units: Array,
	connectors: Dictionary,
	queued_units: Dictionary
) -> Dictionary:
	var known_request_ids: Dictionary = {}
	for raw_request_id: Variant in raw_known_requests:
		if not raw_request_id is String and not raw_request_id is StringName:
			return {&"ok": false, &"error": "Known elevator request ids must be names."}
		var request_id := StringName(str(raw_request_id))
		if request_id.is_empty() or known_request_ids.has(request_id):
			return {&"ok": false, &"error": "Known elevator request ids must be unique and non-empty."}
		known_request_ids[request_id] = true

	var active_units: Dictionary = {}
	var active_request_ids: Dictionary = {}
	for raw_active: Variant in raw_active_units:
		if not raw_active is Dictionary:
			return {&"ok": false, &"error": "Active elevator unit entries must be Dictionaries."}
		var unit_id := StringName(str(_dictionary_value(raw_active, &"unit_id", "")))
		var request_id := StringName(str(_dictionary_value(raw_active, &"request_id", "")))
		var connector_id := StringName(str(_dictionary_value(raw_active, &"connector_id", "")))
		var state := StringName(str(_dictionary_value(raw_active, &"state", "")))
		if unit_id.is_empty() or request_id.is_empty() or connector_id.is_empty() \
			or state not in [ELEVATOR_REQUEST_QUEUED, ELEVATOR_REQUEST_BOARDED]:
			return {&"ok": false, &"error": "Active elevator unit entry is malformed."}
		if active_units.has(unit_id) or active_request_ids.has(request_id):
			return {&"ok": false, &"error": "Active elevator request indexes contain duplicates."}
		if not known_request_ids.has(request_id) or not connectors.has(connector_id):
			return {&"ok": false, &"error": "Active elevator request references unknown state."}
		var connector: Dictionary = connectors[connector_id]
		if connector[&"movement_type"] != MOVEMENT_ELEVATOR:
			return {&"ok": false, &"error": "Active elevator request references a non-elevator connector."}
		active_units[unit_id] = {
			&"unit_id": unit_id,
			&"request_id": request_id,
			&"connector_id": connector_id,
			&"state": state,
		}
		active_request_ids[request_id] = true

	for unit_id: Variant in queued_units:
		if not active_units.has(unit_id) or active_units[unit_id] != queued_units[unit_id]:
			return {&"ok": false, &"error": "Queued elevator request is missing from active indexes."}
	for unit_id: Variant in active_units:
		var active: Dictionary = active_units[unit_id]
		if active[&"state"] == ELEVATOR_REQUEST_QUEUED \
			and (not queued_units.has(unit_id) or queued_units[unit_id] != active):
			return {&"ok": false, &"error": "Active QUEUED index has no matching connector request."}
	return {
		&"ok": true,
		&"known_request_ids": known_request_ids,
		&"active_units": active_units,
	}


func _normalize_snapshot_vertical_blockers(raw: Variant, traffic: Dictionary) -> Dictionary:
	var failure := {&"ok": false, &"error": "Path shaft ownership rows are invalid, unordered, or crosslink unknown cells."}
	if not raw is Array or raw.size() > MAX_VERTICAL_BLOCKER_OWNERS:
		return failure
	var blockers: Dictionary = {}
	var previous_owner := ""
	var total_cells := 0
	for row: Variant in raw:
		if not row is Dictionary or row.size() != 2:
			return failure
		var owner_value: Variant = _dictionary_value(row, &"owner_id", null)
		var cells_value: Variant = _dictionary_value(row, &"cells", null)
		if typeof(owner_value) not in [TYPE_STRING, TYPE_STRING_NAME] or not cells_value is Array:
			return failure
		var owner_id := StringName(owner_value)
		if not _vertical_blocker_owner_is_valid(owner_id) or String(owner_id) <= previous_owner or cells_value.is_empty():
			return failure
		previous_owner = String(owner_id)
		total_cells += cells_value.size()
		if total_cells > MAX_VERTICAL_BLOCKER_CELLS:
			return failure
		var cells: Array[Vector3i] = []
		var seen: Dictionary = {}
		for cell: Variant in cells_value:
			if not cell is Vector3i or not traffic.has(cell) or seen.has(cell):
				return failure
			seen[cell] = true
			cells.append(cell)
		cells.sort_custom(Callable(self, "_coordinate_less"))
		if cells != cells_value:
			return failure
		blockers[owner_id] = cells
	return {&"ok": true, &"blockers": blockers}


func _normalize_snapshot_cell_traffic(raw_entries: Array) -> Dictionary:
	var traffic: Dictionary = {}
	for raw_entry: Variant in raw_entries:
		if not raw_entry is Dictionary:
			return {&"ok": false, &"error": "Path traffic entries must be Dictionaries."}
		var cell: Variant = _dictionary_value(raw_entry, &"cell", null)
		var capacity_value: Variant = _dictionary_value(raw_entry, &"base_capacity", null)
		var density_value: Variant = _dictionary_value(raw_entry, &"current_density", null)
		var cost_value: Variant = _dictionary_value(raw_entry, &"dynamic_cost", null)
		var block_value: Variant = _dictionary_value(raw_entry, &"temporary_block", null)
		if not cell is Vector3i or not _is_valid_layer(cell.z) \
			or not capacity_value is int or not density_value is int \
			or not cost_value is int or not block_value is bool:
			return {&"ok": false, &"error": "Path traffic entry has invalid field types."}
		if traffic.has(cell):
			return {&"ok": false, &"error": "Path traffic snapshot contains a duplicate cell."}
		if int(capacity_value) <= 0 or int(density_value) < 0 or int(cost_value) < 0:
			return {&"ok": false, &"error": "Path traffic values are outside valid bounds."}
		traffic[cell] = {
			&"base_capacity": int(capacity_value),
			&"current_density": int(density_value),
			&"dynamic_cost": int(cost_value),
			&"temporary_block": bool(block_value),
		}
	return {&"ok": true, &"traffic": traffic}


func _normalize_snapshot_actor_cells(raw_entries: Array, traffic: Dictionary) -> Dictionary:
	var actor_cells: Dictionary = {}
	for raw_entry: Variant in raw_entries:
		if not raw_entry is Dictionary:
			return {&"ok": false, &"error": "Actor cell projections must be Dictionaries."}
		var actor_id := StringName(str(_dictionary_value(raw_entry, &"actor_id", "")))
		var cell: Variant = _dictionary_value(raw_entry, &"cell", null)
		if actor_id.is_empty() or not cell is Vector3i or not traffic.has(cell):
			return {&"ok": false, &"error": "Actor projection references an invalid id or cell."}
		if actor_cells.has(actor_id):
			return {&"ok": false, &"error": "Actor projection contains a duplicate actor id."}
		actor_cells[actor_id] = cell
	return {&"ok": true, &"actor_cells": actor_cells}


func _normalize_snapshot_actor_progress(raw_entries: Array) -> Dictionary:
	var progress: Dictionary = {}
	for raw_entry: Variant in raw_entries:
		if not raw_entry is Dictionary:
			return {&"ok": false, &"error": "Actor progress entries must be Dictionaries."}
		var actor_id := StringName(str(_dictionary_value(raw_entry, &"actor_id", "")))
		var last_cell: Variant = _dictionary_value(raw_entry, &"last_cell", null)
		var progress_value: Variant = _dictionary_value(raw_entry, &"last_progress_at", null)
		var observed_value: Variant = _dictionary_value(raw_entry, &"last_observed_at", null)
		var stuck_value: Variant = _dictionary_value(raw_entry, &"stuck_reported_at", null)
		if actor_id.is_empty() or not last_cell is Vector3i \
			or not progress_value is int or not observed_value is int or not stuck_value is int:
			return {&"ok": false, &"error": "Actor progress entry has invalid field types."}
		var last_progress_at := int(progress_value)
		var last_observed_at := int(observed_value)
		var stuck_reported_at := int(stuck_value)
		if last_progress_at < 0 or last_observed_at < last_progress_at \
			or (stuck_reported_at >= 0 and stuck_reported_at < last_progress_at):
			return {&"ok": false, &"error": "Actor progress timestamps are inconsistent."}
		if progress.has(actor_id):
			return {&"ok": false, &"error": "Actor progress contains a duplicate actor id."}
		progress[actor_id] = {
			&"actor_id": actor_id,
			&"last_cell": last_cell,
			&"last_progress_at": last_progress_at,
			&"last_observed_at": last_observed_at,
			&"stuck_reported_at": stuck_reported_at,
		}
	return {&"ok": true, &"progress": progress}


func _snapshot_densities_match(traffic: Dictionary, actor_cells: Dictionary, transit: Dictionary = {}) -> bool:
	var expected: Dictionary = {}
	for actor_id: Variant in actor_cells:
		if transit.has(actor_id):
			continue
		var cell: Vector3i = actor_cells[actor_id]
		expected[cell] = int(expected.get(cell, 0)) + 1
	for cell_value: Variant in traffic:
		var saved_density := int((traffic[cell_value] as Dictionary)[&"current_density"])
		if saved_density != int(expected.get(cell_value, 0)):
			return false
	return true


func _recovery_distance(origin: Vector3i, candidate: Vector3i) -> int:
	# Layer changes require an explicit connector in normal travel.  Recovery is a
	# proposal only, so a large layer penalty keeps the actor on its current layer
	# whenever any valid local cell exists.
	return absi(origin.x - candidate.x) + absi(origin.y - candidate.y) \
		+ absi(origin.z - candidate.z) * 1_000_000


func _normalize_access_layers(raw_layers: Variant) -> Dictionary:
	var values: Array = []
	if raw_layers == null:
		values = [FRONT, BACK]
	elif raw_layers is int:
		values = [raw_layers]
	elif raw_layers is Array or raw_layers is PackedInt32Array:
		values.assign(raw_layers)
	else:
		return {&"ok": false, &"error": "Access layers must be an integer or integer Array."}

	var unique: Dictionary = {}
	for value: Variant in values:
		if not value is int or not _is_valid_layer(int(value)):
			return {&"ok": false, &"error": "Access layer must be FRONT (0) or BACK (1)."}
		unique[int(value)] = true
	var normalized: Array[int] = []
	for value: Variant in unique:
		normalized.append(int(value))
	normalized.sort()
	return {&"ok": true, &"values": normalized}


func _normalize_access_ids(raw_access_ids: Variant) -> Dictionary:
	var values: Array = []
	if raw_access_ids == null:
		values = []
	elif raw_access_ids is String or raw_access_ids is StringName:
		values = [raw_access_ids]
	elif raw_access_ids is Array or raw_access_ids is PackedStringArray:
		values.assign(raw_access_ids)
	elif raw_access_ids is Dictionary:
		for key: Variant in raw_access_ids:
			if bool(raw_access_ids[key]):
				values.append(key)
	else:
		return {&"ok": false, &"error": "Connector access ids must be a name, Array, or Dictionary set."}

	var unique: Dictionary = {}
	for value: Variant in values:
		if not (value is String) and not (value is StringName):
			return {&"ok": false, &"error": "Every connector access id must be a String or StringName."}
		var access_id := StringName(str(value))
		if not access_id.is_empty():
			unique[access_id] = true
	var normalized: Array[StringName] = []
	for value: Variant in unique:
		normalized.append(value)
	normalized.sort_custom(Callable(self, "_string_name_less"))
	return {&"ok": true, &"values": normalized}


func _cache_key(
	start: Vector3i,
	goal: Vector3i,
	allowed_layers: Array[int],
	allowed_access_ids: Array[StringName]
) -> String:
	var layer_parts := PackedStringArray()
	for layer in allowed_layers:
		layer_parts.append(str(layer))
	var access_parts := PackedStringArray()
	for access_id in allowed_access_ids:
		var value := str(access_id)
		access_parts.append("%d:%s" % [value.length(), value])
	return "%d,%d,%d>%d,%d,%d|L:%s|A:%s|R:%d" % [
		start.x,
		start.y,
		start.z,
		goal.x,
		goal.y,
		goal.z,
		",".join(layer_parts),
		",".join(access_parts),
		graph_revision,
	]


func _path_touches(path: Array, affected: Dictionary) -> bool:
	for cell: Variant in path:
		if affected.has(cell):
			return true
	return false


func _copy_path(path: Array) -> Array[Vector3i]:
	var copied: Array[Vector3i] = []
	for cell: Variant in path:
		copied.append(cell)
	return copied


func _mark_graph_changed() -> void:
	graph_revision += 1
	invalidate_all_cache()


func _is_valid_layer(layer: int) -> bool:
	return layer == FRONT or layer == BACK


func _coordinate_less(left: Variant, right: Variant) -> bool:
	var left_cell: Vector3i = left
	var right_cell: Vector3i = right
	if left_cell.x != right_cell.x:
		return left_cell.x < right_cell.x
	if left_cell.y != right_cell.y:
		return left_cell.y < right_cell.y
	return left_cell.z < right_cell.z


func _edge_less(left: Variant, right: Variant) -> bool:
	var left_edge: Dictionary = left
	var right_edge: Dictionary = right
	var left_to: Vector3i = left_edge[&"to"]
	var right_to: Vector3i = right_edge[&"to"]
	if left_to != right_to:
		return _coordinate_less(left_to, right_to)
	var left_connector := str(left_edge[&"connector_id"])
	var right_connector := str(right_edge[&"connector_id"])
	if left_connector != right_connector:
		return left_connector < right_connector
	return int(left_edge[&"cost"]) < int(right_edge[&"cost"])


func _string_name_less(left: Variant, right: Variant) -> bool:
	return str(left) < str(right)


func _sorted_name_keys(source: Dictionary) -> Array[StringName]:
	var result: Array[StringName] = []
	for key: Variant in source:
		result.append(StringName(key))
	result.sort_custom(Callable(self, "_string_name_less"))
	return result


func _profile_value(profile: Dictionary, keys: Array[StringName], default_value: Variant) -> Variant:
	for key in keys:
		if profile.has(key):
			return profile[key]
		var string_key := str(key)
		if profile.has(string_key):
			return profile[string_key]
	return default_value


func _dictionary_value(source: Dictionary, key: StringName, default_value: Variant) -> Variant:
	if source.has(key):
		return source[key]
	var string_key := str(key)
	return source.get(string_key, default_value)