Soroush and Keshi each have a labeled and rooted tree on n vertices. Both of their trees are rooted from vertex 1.

Soroush and Keshi used to be at war. After endless decades of fighting, they finally became allies to prepare a Codeforces round. To celebrate this fortunate event, they decided to make a memorial graph on n vertices.

They add an edge between vertices u and v in the memorial graph if both of the following conditions hold: 

  * One of u or v is the ancestor of the other in Soroush's tree. 
  * Neither of u or v is the ancestor of the other in Keshi's tree. 



Here vertex u is considered ancestor of vertex v, if u lies on the path from 1 (the root) to the v.

Popping out of nowhere, Mashtali tried to find the maximum clique in the memorial graph for no reason. He failed because the graph was too big. 

Help Mashtali by finding the size of the maximum clique in the memorial graph.

As a reminder, clique is a subset of vertices of the graph, each two of which are connected by an edge.

Input

The first line contains an integer t (1≤ t≤ 3 ⋅ 10^5) — the number of test cases. The description of the test cases follows.

The first line of each test case contains an integer n (2≤ n≤ 3 ⋅ 10^5).

The second line of each test case contains n-1 integers a_2, …, a_n (1 ≤ a_i < i), a_i being the parent of the vertex i in Soroush's tree.

The third line of each test case contains n-1 integers b_2, …, b_n (1 ≤ b_i < i), b_i being the parent of the vertex i in Keshi's tree.

It is guaranteed that the given graphs are trees.

It is guaranteed that the sum of n over all test cases doesn't exceed 3 ⋅ 10^5.

Output

For each test case print a single integer — the size of the maximum clique in the memorial graph.

Example

Input


4
4
1 2 3
1 2 3
5
1 2 3 4
1 1 1 1
6
1 1 1 1 2
1 2 1 2 2
7
1 1 3 4 4 5
1 2 1 4 2 5


Output


1
4
1
3

Note

In the first and third test cases, you can pick any vertex.

In the second test case, one of the maximum cliques is \{2, 3, 4, 5\}.

In the fourth test case, one of the maximum cliques is \{3, 4, 6\}.

Source: codeforces | Difficulty: HARD
Tags: Tree algorithms

Data structures

Graph traversal

Greedy algorithms


Solutions:
from __future__ import print_function
import sys
import traceback
from bisect import bisect_left, bisect_right, insort
from itertools import chain, repeat, starmap
from math import log
from operator import add, eq, ne, gt, ge, lt, le, iadd
from textwrap import dedent
try:
	from collections.abc import Sequence, MutableSequence
except ImportError:
	from collections import Sequence, MutableSequence
from functools import wraps
from sys import hexversion
if hexversion < 50331648:
	from itertools import imap as map
	from itertools import izip as zip
	try:
		from thread import get_ident
	except ImportError:
		from dummy_thread import get_ident
else:
	from functools import reduce
	try:
		from _thread import get_ident
	except ImportError:
		from _dummy_thread import get_ident

def recursive_repr(fillvalue='...'):

	def decorating_function(user_function):
		repr_running = set()

		@wraps(user_function)
		def wrapper(self):
			key = (id(self), get_ident())
			if key in repr_running:
				return fillvalue
			repr_running.add(key)
			try:
				result = user_function(self)
			finally:
				repr_running.discard(key)
			return result
		return wrapper
	return decorating_function

class SortedList(MutableSequence):
	DEFAULT_LOAD_FACTOR = 1000

	def __init__(self, iterable=None, key=None):
		assert key is None
		self._len = 0
		self._load = self.DEFAULT_LOAD_FACTOR
		self._lists = []
		self._maxes = []
		self._index = []
		self._offset = 0
		if iterable is not None:
			self._update(iterable)

	def __new__(cls, iterable=None, key=None):
		if key is None:
			return object.__new__(cls)
		elif cls is SortedList:
			return object.__new__(SortedKeyList)
		else:
			raise TypeError('inherit SortedKeyList for key argument')

	@property
	def key(self):
		return None

	def _reset(self, load):
		values = reduce(iadd, self._lists, [])
		self._clear()
		self._load = load
		self._update(values)

	def clear(self):
		self._len = 0
		del self._lists[:]
		del self._maxes[:]
		del self._index[:]
		self._offset = 0
	_clear = clear

	def add(self, value):
		_lists = self._lists
		_maxes = self._maxes
		if _maxes:
			pos = bisect_right(_maxes, value)
			if pos == len(_maxes):
				pos -= 1
				_lists[pos].append(value)
				_maxes[pos] = value
			else:
				insort(_lists[pos], value)
			self._expand(pos)
		else:
			_lists.append([value])
			_maxes.append(value)
		self._len += 1

	def _expand(self, pos):
		_load = self._load
		_lists = self._lists
		_index = self._index
		if len(_lists[pos]) > _load << 1:
			_maxes = self._maxes
			_lists_pos = _lists[pos]
			half = _lists_pos[_load:]
			del _lists_pos[_load:]
			_maxes[pos] = _lists_pos[-1]
			_lists.insert(pos + 1, half)
			_maxes.insert(pos + 1, half[-1])
			del _index[:]
		elif _index:
			child = self._offset + pos
			while child:
				_index[child] += 1
				child = child - 1 >> 1
			_index[0] += 1

	def update(self, iterable):
		_lists = self._lists
		_maxes = self._maxes
		values = sorted(iterable)
		if _maxes:
			if len(values) * 4 >= self._len:
				values.extend(chain.from_iterable(_lists))
				values.sort()
				self._clear()
			else:
				_add = self.add
				for val in values:
					_add(val)
				return
		_load = self._load
		_lists.extend((values[pos:pos + _load] for pos in range(0, len(values), _load)))
		_maxes.extend((sublist[-1] for sublist in _lists))
		self._len = len(values)
		del self._index[:]
	_update = update

	def __contains__(self, value):
		_maxes = self._maxes
		if not _maxes:
			return False
		pos = bisect_left(_maxes, value)
		if pos == len(_maxes):
			return False
		_lists = self._lists
		idx = bisect_left(_lists[pos], value)
		return _lists[pos][idx] == value

	def discard(self, value):
		_maxes = self._maxes
		if not _maxes:
			return
		pos = bisect_left(_maxes, value)
		if pos == len(_maxes):
			return
		_lists = self._lists
		idx = bisect_left(_lists[pos], value)
		if _lists[pos][idx] == value:
			self._delete(pos, idx)

	def remove(self, value):
		_maxes = self._maxes
		if not _maxes:
			raise ValueError('{0!r} not in list'.format(value))
		pos = bisect_left(_maxes, value)
		if pos == len(_maxes):
			raise ValueError('{0!r} not in list'.format(value))
		_lists = self._lists
		idx = bisect_left(_lists[pos], value)
		if _lists[pos][idx] == value:
			self._delete(pos, idx)
		else:
			raise ValueError('{0!r} not in list'.format(value))

	def _delete(self, pos, idx):
		_lists = self._lists
		_maxes = self._maxes
		_index = self._index
		_lists_pos = _lists[pos]
		del _lists_pos[idx]
		self._len -= 1
		len_lists_pos = len(_lists_pos)
		if len_lists_pos > self._load >> 1:
			_maxes[pos] = _lists_pos[-1]
			if _index:
				child = self._offset + pos
				while child > 0:
					_index[child] -= 1
					child = child - 1 >> 1
				_index[0] -= 1
		elif len(_lists) > 1:
			if not pos:
				pos += 1
			prev = pos - 1
			_lists[prev].extend(_lists[pos])
			_maxes[prev] = _lists[prev][-1]
			del _lists[pos]
			del _maxes[pos]
			del _index[:]
			self._expand(prev)
		elif len_lists_pos:
			_maxes[pos] = _lists_pos[-1]
		else:
			del _lists[pos]
			del _maxes[pos]
			del _index[:]

	def _loc(self, pos, idx):
		if not pos:
			return idx
		_index = self._index
		if not _index:
			self._build_index()
		total = 0
		pos += self._offset
		while pos:
			if not pos & 1:
				total += _index[pos - 1]
			pos = pos - 1 >> 1
		return total + idx

	def _pos(self, idx):
		if idx < 0:
			last_len = len(self._lists[-1])
			if -idx <= last_len:
				return (len(self._lists) - 1, last_len + idx)
			idx += self._len
			if idx < 0:
				raise IndexError('list index out of range')
		elif idx >= self._len:
			raise IndexError('list index out of range')
		if idx < len(self._lists[0]):
			return (0, idx)
		_index = self._index
		if not _index:
			self._build_index()
		pos = 0
		child = 1
		len_index = len(_index)
		while child < len_index:
			index_child = _index[child]
			if idx < index_child:
				pos = child
			else:
				idx -= index_child
				pos = child + 1
			child = (pos << 1) + 1
		return (pos - self._offset, idx)

	def _build_index(self):
		row0 = list(map(len, self._lists))
		if len(row0) == 1:
			self._index[:] = row0
			self._offset = 0
			return
		head = iter(row0)
		tail = iter(head)
		row1 = list(starmap(add, zip(head, tail)))
		if len(row0) & 1:
			row1.append(row0[-1])
		if len(row1) == 1:
			self._index[:] = row1 + row0
			self._offset = 1
			return
		size = 2 ** (int(log(len(row1) - 1, 2)) + 1)
		row1.extend(repeat(0, size - len(row1)))
		tree = [row0, row1]
		while len(tree[-1]) > 1:
			head = iter(tree[-1])
			tail = iter(head)
			row = list(starmap(add, zip(head, tail)))
			tree.append(row)
		reduce(iadd, reversed(tree), self._index)
		self._offset = size * 2 - 1

	def __delitem__(self, index):
		if isinstance(index, slice):
			(start, stop, step) = index.indices(self._len)
			if step == 1 and start < stop:
				if start == 0 and stop == self._len:
					return self._clear()
				elif self._len <= 8 * (stop - start):
					values = self._getitem(slice(None, start))
					if stop < self._len:
						values += self._getitem(slice(stop, None))
					self._clear()
					return self._update(values)
			indices = range(start, stop, step)
			if step > 0:
				indices = reversed(indices)
			(_pos, _delete) = (self._pos, self._delete)
			for index in indices:
				(pos, idx) = _pos(index)
				_delete(pos, idx)
		else:
			(pos, idx) = self._pos(index)
			self._delete(pos, idx)

	def __getitem__(self, index):
		_lists = self._lists
		if isinstance(index, slice):
			(start, stop, step) = index.indices(self._len)
			if step == 1 and start < stop:
				if start == 0 and stop == self._len:
					return reduce(iadd, self._lists, [])
				(start_pos, start_idx) = self._pos(start)
				start_list = _lists[start_pos]
				stop_idx = start_idx + stop - start
				if len(start_list) >= stop_idx:
					return start_list[start_idx:stop_idx]
				if stop == self._len:
					stop_pos = len(_lists) - 1
					stop_idx = len(_lists[stop_pos])
				else:
					(stop_pos, stop_idx) = self._pos(stop)
				prefix = _lists[start_pos][start_idx:]
				middle = _lists[start_pos + 1:stop_pos]
				result = reduce(iadd, middle, prefix)
				result += _lists[stop_pos][:stop_idx]
				return result
			if step == -1 and start > stop:
				result = self._getitem(slice(stop + 1, start + 1))
				result.reverse()
				return result
			indices = range(start, stop, step)
			return list((self._getitem(index) for index in indices))
		else:
			if self._len:
				if index == 0:
					return _lists[0][0]
				elif index == -1:
					return _lists[-1][-1]
			else:
				raise IndexError('list index out of range')
			if 0 <= index < len(_lists[0]):
				return _lists[0][index]
			len_last = len(_lists[-1])
			if -len_last < index < 0:
				return _lists[-1][len_last + index]
			(pos, idx) = self._pos(index)
			return _lists[pos][idx]
	_getitem = __getitem__

	def __setitem__(self, index, value):
		message = 'use ``del sl[index]`` and ``sl.add(value)`` instead'
		raise NotImplementedError(message)

	def __iter__(self):
		return chain.from_iterable(self._lists)

	def __reversed__(self):
		return chain.from_iterable(map(reversed, reversed(self._lists)))

	def reverse(self):
		raise NotImplementedError('use ``reversed(sl)`` instead')

	def islice(self, start=None, stop=None, reverse=False):
		_len = self._len
		if not _len:
			return iter(())
		(start, stop, _) = slice(start, stop).indices(self._len)
		if start >= stop:
			return iter(())
		_pos = self._pos
		(min_pos, min_idx) = _pos(start)
		if stop == _len:
			max_pos = len(self._lists) - 1
			max_idx = len(self._lists[-1])
		else:
			(max_pos, max_idx) = _pos(stop)
		return self._islice(min_pos, min_idx, max_pos, max_idx, reverse)

	def _islice(self, min_pos, min_idx, max_pos, max_idx, reverse):
		_lists = self._lists
		if min_pos > max_pos:
			return iter(())
		if min_pos == max_pos:
			if reverse:
				indices = reversed(range(min_idx, max_idx))
				return map(_lists[min_pos].__getitem__, indices)
			indices = range(min_idx, max_idx)
			return map(_lists[min_pos].__getitem__, indices)
		next_pos = min_pos + 1
		if next_pos == max_pos:
			if reverse:
				min_indices = range(min_idx, len(_lists[min_pos]))
				max_indices = range(max_idx)
				return chain(map(_lists[max_pos].__getitem__, reversed(max_indices)), map(_lists[min_pos].__getitem__, reversed(min_indices)))
			min_indices = range(min_idx, len(_lists[min_pos]))
			max_indices = range(max_idx)
			return chain(map(_lists[min_pos].__getitem__, min_indices), map(_lists[max_pos].__getitem__, max_indices))
		if reverse:
			min_indices = range(min_idx, len(_lists[min_pos]))
			sublist_indices = range(next_pos, max_pos)
			sublists = map(_lists.__getitem__, reversed(sublist_indices))
			max_indices = range(max_idx)
			return chain(map(_lists[max_pos].__getitem__, reversed(max_indices)), chain.from_iterable(map(reversed, sublists)), map(_lists[min_pos].__getitem__, reversed(min_indices)))
		min_indices = range(min_idx, len(_lists[min_pos]))
		sublist_indices = range(next_pos, max_pos)
		sublists = map(_lists.__getitem__, sublist_indices)
		max_indices = range(max_idx)
		return chain(map(_lists[min_pos].__getitem__, min_indices), chain.from_iterable(sublists), map(_lists[max_pos].__getitem__, max_indices))

	def irange(self, minimum=None, maximum=None, inclusive=(True, True), reverse=False):
		_maxes = self._maxes
		if not _maxes:
			return iter(())
		_lists = self._lists
		if minimum is None:
			min_pos = 0
			min_idx = 0
		elif inclusive[0]:
			min_pos = bisect_left(_maxes, minimum)
			if min_pos == len(_maxes):
				return iter(())
			min_idx = bisect_left(_lists[min_pos], minimum)
		else:
			min_pos = bisect_right(_maxes, minimum)
			if min_pos == len(_maxes):
				return iter(())
			min_idx = bisect_right(_lists[min_pos], minimum)
		if maximum is None:
			max_pos = len(_maxes) - 1
			max_idx = len(_lists[max_pos])
		elif inclusive[1]:
			max_pos = bisect_right(_maxes, maximum)
			if max_pos == len(_maxes):
				max_pos -= 1
				max_idx = len(_lists[max_pos])
			else:
				max_idx = bisect_right(_lists[max_pos], maximum)
		else:
			max_pos = bisect_left(_maxes, maximum)
			if max_pos == len(_maxes):
				max_pos -= 1
				max_idx = len(_lists[max_pos])
			else:
				max_idx = bisect_left(_lists[max_pos], maximum)
		return self._islice(min_pos, min_idx, max_pos, max_idx, reverse)

	def __len__(self):
		return self._len

	def bisect_left(self, value):
		_maxes = self._maxes
		if not _maxes:
			return 0
		pos = bisect_left(_maxes, value)
		if pos == len(_maxes):
			return self._len
		idx = bisect_left(self._lists[pos], value)
		return self._loc(pos, idx)

	def bisect_right(self, value):
		_maxes = self._maxes
		if not _maxes:
			return 0
		pos = bisect_right(_maxes, value)
		if pos == len(_maxes):
			return self._len
		idx = bisect_right(self._lists[pos], value)
		return self._loc(pos, idx)
	bisect = bisect_right
	_bisect_right = bisect_right

	def count(self, value):
		_maxes = self._maxes
		if not _maxes:
			return 0
		pos_left = bisect_left(_maxes, value)
		if pos_left == len(_maxes):
			return 0
		_lists = self._lists
		idx_left = bisect_left(_lists[pos_left], value)
		pos_right = bisect_right(_maxes, value)
		if pos_right == len(_maxes):
			return self._len - self._loc(pos_left, idx_left)
		idx_right = bisect_right(_lists[pos_right], value)
		if pos_left == pos_right:
			return idx_right - idx_left
		right = self._loc(pos_right, idx_right)
		left = self._loc(pos_left, idx_left)
		return right - left

	def copy(self):
		return self.__class__(self)
	__copy__ = copy

	def append(self, value):
		raise NotImplementedError('use ``sl.add(value)`` instead')

	def extend(self, values):
		raise NotImplementedError('use ``sl.update(values)`` instead')

	def insert(self, index, value):
		raise NotImplementedError('use ``sl.add(value)`` instead')

	def pop(self, index=-1):
		if not self._len:
			raise IndexError('pop index out of range')
		_lists = self._lists
		if index == 0:
			val = _lists[0][0]
			self._delete(0, 0)
			return val
		if index == -1:
			pos = len(_lists) - 1
			loc = len(_lists[pos]) - 1
			val = _lists[pos][loc]
			self._delete(pos, loc)
			return val
		if 0 <= index < len(_lists[0]):
			val = _lists[0][index]
			self._delete(0, index)
			return val
		len_last = len(_lists[-1])
		if -len_last < index < 0:
			pos = len(_lists) - 1
			loc = len_last + index
			val = _lists[pos][loc]
			self._delete(pos, loc)
			return val
		(pos, idx) = self._pos(index)
		val = _lists[pos][idx]
		self._delete(pos, idx)
		return val

	def index(self, value, start=None, stop=None):
		_len = self._len
		if not _len:
			raise ValueError('{0!r} is not in list'.format(value))
		if start is None:
			start = 0
		if start < 0:
			start += _len
		if start < 0:
			start = 0
		if stop is None:
			stop = _len
		if stop < 0:
			stop += _len
		if stop > _len:
			stop = _len
		if stop <= start:
			raise ValueError('{0!r} is not in list'.format(value))
		_maxes = self._maxes
		pos_left = bisect_left(_maxes, value)
		if pos_left == len(_maxes):
			raise ValueError('{0!r} is not in list'.format(value))
		_lists = self._lists
		idx_left = bisect_left(_lists[pos_left], value)
		if _lists[pos_left][idx_left] != value:
			raise ValueError('{0!r} is not in list'.format(value))
		stop -= 1
		left = self._loc(pos_left, idx_left)
		if start <= left:
			if left <= stop:
				return left
		else:
			right = self._bisect_right(value) - 1
			if start <= right:
				return start
		raise ValueError('{0!r} is not in list'.format(value))

	def __add__(self, other):
		values = reduce(iadd, self._lists, [])
		values.extend(other)
		return self.__class__(values)
	__radd__ = __add__

	def __iadd__(self, other):
		self._update(other)
		return self

	def __mul__(self, num):
		values = reduce(iadd, self._lists, []) * num
		return self.__class__(values)
	__rmul__ = __mul__

	def __imul__(self, num):
		values = reduce(iadd, self._lists, []) * num
		self._clear()
		self._update(values)
		return self

	def __make_cmp(seq_op, symbol, doc):

		def comparer(self, other):
			if not isinstance(other, Sequence):
				return NotImplemented
			self_len = self._len
			len_other = len(other)
			if self_len != len_other:
				if seq_op is eq:
					return False
				if seq_op is ne:
					return True
			for (alpha, beta) in zip(self, other):
				if alpha != beta:
					return seq_op(alpha, beta)
			return seq_op(self_len, len_other)
		seq_op_name = seq_op.__name__
		comparer.__name__ = '__{0}__'.format(seq_op_name)
		doc_str = 'Return true if and only if sorted list is {0} `other`.\n\n        ``sl.__{1}__(other)`` <==> ``sl {2} other``\n\n        Comparisons use lexicographical order as with sequences.\n\n        Runtime complexity: `O(n)`\n\n        :param other: `other` sequence\n        :return: true if sorted list is {0} `other`\n\n        '
		comparer.__doc__ = dedent(doc_str.format(doc, seq_op_name, symbol))
		return comparer
	__eq__ = __make_cmp(eq, '==', 'equal to')
	__ne__ = __make_cmp(ne, '!=', 'not equal to')
	__lt__ = __make_cmp(lt, '<', 'less than')
	__gt__ = __make_cmp(gt, '>', 'greater than')
	__le__ = __make_cmp(le, '<=', 'less than or equal to')
	__ge__ = __make_cmp(ge, '>=', 'greater than or equal to')
	__make_cmp = staticmethod(__make_cmp)

	def __reduce__(self):
		values = reduce(iadd, self._lists, [])
		return (type(self), (values,))

	@recursive_repr()
	def __repr__(self):
		return '{0}({1!r})'.format(type(self).__name__, list(self))

	def _check(self):
		try:
			assert self._load >= 4
			assert len(self._maxes) == len(self._lists)
			assert self._len == sum((len(sublist) for sublist in self._lists))
			for sublist in self._lists:
				for pos in range(1, len(sublist)):
					assert sublist[pos - 1] <= sublist[pos]
			for pos in range(1, len(self._lists)):
				assert self._lists[pos - 1][-1] <= self._lists[pos][0]
			for pos in range(len(self._maxes)):
				assert self._maxes[pos] == self._lists[pos][-1]
			double = self._load << 1
			assert all((len(sublist) <= double for sublist in self._lists))
			half = self._load >> 1
			for pos in range(0, len(self._lists) - 1):
				assert len(self._lists[pos]) >= half
			if self._index:
				assert self._len == self._index[0]
				assert len(self._index) == self._offset + len(self._lists)
				for pos in range(len(self._lists)):
					leaf = self._index[self._offset + pos]
					assert leaf == len(self._lists[pos])
				for pos in range(self._offset):
					child = (pos << 1) + 1
					if child >= len(self._index):
						assert self._index[pos] == 0
					elif child + 1 == len(self._index):
						assert self._index[pos] == self._index[child]
					else:
						child_sum = self._index[child] + self._index[child + 1]
						assert child_sum == self._index[pos]
		except:
			traceback.print_exc(file=sys.stdout)
			print('len', self._len)
			print('load', self._load)
			print('offset', self._offset)
			print('len_index', len(self._index))
			print('index', self._index)
			print('len_maxes', len(self._maxes))
			print('maxes', self._maxes)
			print('len_lists', len(self._lists))
			print('lists', self._lists)
			raise

def identity(value):
	return value

class SortedKeyList(SortedList):

	def __init__(self, iterable=None, key=identity):
		self._key = key
		self._len = 0
		self._load = self.DEFAULT_LOAD_FACTOR
		self._lists = []
		self._keys = []
		self._maxes = []
		self._index = []
		self._offset = 0
		if iterable is not None:
			self._update(iterable)

	def __new__(cls, iterable=None, key=identity):
		return object.__new__(cls)

	@property
	def key(self):
		return self._key

	def clear(self):
		self._len = 0
		del self._lists[:]
		del self._keys[:]
		del self._maxes[:]
		del self._index[:]
	_clear = clear

	def add(self, value):
		_lists = self._lists
		_keys = self._keys
		_maxes = self._maxes
		key = self._key(value)
		if _maxes:
			pos = bisect_right(_maxes, key)
			if pos == len(_maxes):
				pos -= 1
				_lists[pos].append(value)
				_keys[pos].append(key)
				_maxes[pos] = key
			else:
				idx = bisect_right(_keys[pos], key)
				_lists[pos].insert(idx, value)
				_keys[pos].insert(idx, key)
			self._expand(pos)
		else:
			_lists.append([value])
			_keys.append([key])
			_maxes.append(key)
		self._len += 1

	def _expand(self, pos):
		_lists = self._lists
		_keys = self._keys
		_index = self._index
		if len(_keys[pos]) > self._load << 1:
			_maxes = self._maxes
			_load = self._load
			_lists_pos = _lists[pos]
			_keys_pos = _keys[pos]
			half = _lists_pos[_load:]
			half_keys = _keys_pos[_load:]
			del _lists_pos[_load:]
			del _keys_pos[_load:]
			_maxes[pos] = _keys_pos[-1]
			_lists.insert(pos + 1, half)
			_keys.insert(pos + 1, half_keys)
			_maxes.insert(pos + 1, half_keys[-1])
			del _index[:]
		elif _index:
			child = self._offset + pos
			while child:
				_index[child] += 1
				child = child - 1 >> 1
			_index[0] += 1

	def update(self, iterable):
		_lists = self._lists
		_keys = self._keys
		_maxes = self._maxes
		values = sorted(iterable, key=self._key)
		if _maxes:
			if len(values) * 4 >= self._len:
				values.extend(chain.from_iterable(_lists))
				values.sort(key=self._key)
				self._clear()
			else:
				_add = self.add
				for val in values:
					_add(val)
				return
		_load = self._load
		_lists.extend((values[pos:pos + _load] for pos in range(0, len(values), _load)))
		_keys.extend((list(map(self._key, _list)) for _list in _lists))
		_maxes.extend((sublist[-1] for sublist in _keys))
		self._len = len(values)
		del self._index[:]
	_update = update

	def __contains__(self, value):
		_maxes = self._maxes
		if not _maxes:
			return False
		key = self._key(value)
		pos = bisect_left(_maxes, key)
		if pos == len(_maxes):
			return False
		_lists = self._lists
		_keys = self._keys
		idx = bisect_left(_keys[pos], key)
		len_keys = len(_keys)
		len_sublist = len(_keys[pos])
		while True:
			if _keys[pos][idx] != key:
				return False
			if _lists[pos][idx] == value:
				return True
			idx += 1
			if idx == len_sublist:
				pos += 1
				if pos == len_keys:
					return False
				len_sublist = len(_keys[pos])
				idx = 0

	def discard(self, value):
		_maxes = self._maxes
		if not _maxes:
			return
		key = self._key(value)
		pos = bisect_left(_maxes, key)
		if pos == len(_maxes):
			return
		_lists = self._lists
		_keys = self._keys
		idx = bisect_left(_keys[pos], key)
		len_keys = len(_keys)
		len_sublist = len(_keys[pos])
		while True:
			if _keys[pos][idx] != key:
				return
			if _lists[pos][idx] == value:
				self._delete(pos, idx)
				return
			idx += 1
			if idx == len_sublist:
				pos += 1
				if pos == len_keys:
					return
				len_sublist = len(_keys[pos])
				idx = 0

	def remove(self, value):
		_maxes = self._maxes
		if not _maxes:
			raise ValueError('{0!r} not in list'.format(value))
		key = self._key(value)
		pos = bisect_left(_maxes, key)
		if pos == len(_maxes):
			raise ValueError('{0!r} not in list'.format(value))
		_lists = self._lists
		_keys = self._keys
		idx = bisect_left(_keys[pos], key)
		len_keys = len(_keys)
		len_sublist = len(_keys[pos])
		while True:
			if _keys[pos][idx] != key:
				raise ValueError('{0!r} not in list'.format(value))
			if _lists[pos][idx] == value:
				self._delete(pos, idx)
				return
			idx += 1
			if idx == len_sublist:
				pos += 1
				if pos == len_keys:
					raise ValueError('{0!r} not in list'.format(value))
				len_sublist = len(_keys[pos])
				idx = 0

	def _delete(self, pos, idx):
		_lists = self._lists
		_keys = self._keys
		_maxes = self._maxes
		_index = self._index
		keys_pos = _keys[pos]
		lists_pos = _lists[pos]
		del keys_pos[idx]
		del lists_pos[idx]
		self._len -= 1
		len_keys_pos = len(keys_pos)
		if len_keys_pos > self._load >> 1:
			_maxes[pos] = keys_pos[-1]
			if _index:
				child = self._offset + pos
				while child > 0:
					_index[child] -= 1
					child = child - 1 >> 1
				_index[0] -= 1
		elif len(_keys) > 1:
			if not pos:
				pos += 1
			prev = pos - 1
			_keys[prev].extend(_keys[pos])
			_lists[prev].extend(_lists[pos])
			_maxes[prev] = _keys[prev][-1]
			del _lists[pos]
			del _keys[pos]
			del _maxes[pos]
			del _index[:]
			self._expand(prev)
		elif len_keys_pos:
			_maxes[pos] = keys_pos[-1]
		else:
			del _lists[pos]
			del _keys[pos]
			del _maxes[pos]
			del _index[:]

	def irange(self, minimum=None, maximum=None, inclusive=(True, True), reverse=False):
		min_key = self._key(minimum) if minimum is not None else None
		max_key = self._key(maximum) if maximum is not None else None
		return self._irange_key(min_key=min_key, max_key=max_key, inclusive=inclusive, reverse=reverse)

	def irange_key(self, min_key=None, max_key=None, inclusive=(True, True), reverse=False):
		_maxes = self._maxes
		if not _maxes:
			return iter(())
		_keys = self._keys
		if min_key is None:
			min_pos = 0
			min_idx = 0
		elif inclusive[0]:
			min_pos = bisect_left(_maxes, min_key)
			if min_pos == len(_maxes):
				return iter(())
			min_idx = bisect_left(_keys[min_pos], min_key)
		else:
			min_pos = bisect_right(_maxes, min_key)
			if min_pos == len(_maxes):
				return iter(())
			min_idx = bisect_right(_keys[min_pos], min_key)
		if max_key is None:
			max_pos = len(_maxes) - 1
			max_idx = len(_keys[max_pos])
		elif inclusive[1]:
			max_pos = bisect_right(_maxes, max_key)
			if max_pos == len(_maxes):
				max_pos -= 1
				max_idx = len(_keys[max_pos])
			else:
				max_idx = bisect_right(_keys[max_pos], max_key)
		else:
			max_pos = bisect_left(_maxes, max_key)
			if max_pos == len(_maxes):
				max_pos -= 1
				max_idx = len(_keys[max_pos])
			else:
				max_idx = bisect_left(_keys[max_pos], max_key)
		return self._islice(min_pos, min_idx, max_pos, max_idx, reverse)
	_irange_key = irange_key

	def bisect_left(self, value):
		return self._bisect_key_left(self._key(value))

	def bisect_right(self, value):
		return self._bisect_key_right(self._key(value))
	bisect = bisect_right

	def bisect_key_left(self, key):
		_maxes = self._maxes
		if not _maxes:
			return 0
		pos = bisect_left(_maxes, key)
		if pos == len(_maxes):
			return self._len
		idx = bisect_left(self._keys[pos], key)
		return self._loc(pos, idx)
	_bisect_key_left = bisect_key_left

	def bisect_key_right(self, key):
		_maxes = self._maxes
		if not _maxes:
			return 0
		pos = bisect_right(_maxes, key)
		if pos == len(_maxes):
			return self._len
		idx = bisect_right(self._keys[pos], key)
		return self._loc(pos, idx)
	bisect_key = bisect_key_right
	_bisect_key_right = bisect_key_right

	def count(self, value):
		_maxes = self._maxes
		if not _maxes:
			return 0
		key = self._key(value)
		pos = bisect_left(_maxes, key)
		if pos == len(_maxes):
			return 0
		_lists = self._lists
		_keys = self._keys
		idx = bisect_left(_keys[pos], key)
		total = 0
		len_keys = len(_keys)
		len_sublist = len(_keys[pos])
		while True:
			if _keys[pos][idx] != key:
				return total
			if _lists[pos][idx] == value:
				total += 1
			idx += 1
			if idx == len_sublist:
				pos += 1
				if pos == len_keys:
					return total
				len_sublist = len(_keys[pos])
				idx = 0

	def copy(self):
		return self.__class__(self, key=self._key)
	__copy__ = copy

	def index(self, value, start=None, stop=None):
		_len = self._len
		if not _len:
			raise ValueError('{0!r} is not in list'.format(value))
		if start is None:
			start = 0
		if start < 0:
			start += _len
		if start < 0:
			start = 0
		if stop is None:
			stop = _len
		if stop < 0:
			stop += _len
		if stop > _len:
			stop = _len
		if stop <= start:
			raise ValueError('{0!r} is not in list'.format(value))
		_maxes = self._maxes
		key = self._key(value)
		pos = bisect_left(_maxes, key)
		if pos == len(_maxes):
			raise ValueError('{0!r} is not in list'.format(value))
		stop -= 1
		_lists = self._lists
		_keys = self._keys
		idx = bisect_left(_keys[pos], key)
		len_keys = len(_keys)
		len_sublist = len(_keys[pos])
		while True:
			if _keys[pos][idx] != key:
				raise ValueError('{0!r} is not in list'.format(value))
			if _lists[pos][idx] == value:
				loc = self._loc(pos, idx)
				if start <= loc <= stop:
					return loc
				elif loc > stop:
					break
			idx += 1
			if idx == len_sublist:
				pos += 1
				if pos == len_keys:
					raise ValueError('{0!r} is not in list'.format(value))
				len_sublist = len(_keys[pos])
				idx = 0
		raise ValueError('{0!r} is not in list'.format(value))

	def __add__(self, other):
		values = reduce(iadd, self._lists, [])
		values.extend(other)
		return self.__class__(values, key=self._key)
	__radd__ = __add__

	def __mul__(self, num):
		values = reduce(iadd, self._lists, []) * num
		return self.__class__(values, key=self._key)

	def __reduce__(self):
		values = reduce(iadd, self._lists, [])
		return (type(self), (values, self.key))

	@recursive_repr()
	def __repr__(self):
		type_name = type(self).__name__
		return '{0}({1!r}, key={2!r})'.format(type_name, list(self), self._key)

	def _check(self):
		try:
			assert self._load >= 4
			assert len(self._maxes) == len(self._lists) == len(self._keys)
			assert self._len == sum((len(sublist) for sublist in self._lists))
			for sublist in self._keys:
				for pos in range(1, len(sublist)):
					assert sublist[pos - 1] <= sublist[pos]
			for pos in range(1, len(self._keys)):
				assert self._keys[pos - 1][-1] <= self._keys[pos][0]
			for (val_sublist, key_sublist) in zip(self._lists, self._keys):
				assert len(val_sublist) == len(key_sublist)
				for (val, key) in zip(val_sublist, key_sublist):
					assert self._key(val) == key
			for pos in range(len(self._maxes)):
				assert self._maxes[pos] == self._keys[pos][-1]
			double = self._load << 1
			assert all((len(sublist) <= double for sublist in self._lists))
			half = self._load >> 1
			for pos in range(0, len(self._lists) - 1):
				assert len(self._lists[pos]) >= half
			if self._index:
				assert self._len == self._index[0]
				assert len(self._index) == self._offset + len(self._lists)
				for pos in range(len(self._lists)):
					leaf = self._index[self._offset + pos]
					assert leaf == len(self._lists[pos])
				for pos in range(self._offset):
					child = (pos << 1) + 1
					if child >= len(self._index):
						assert self._index[pos] == 0
					elif child + 1 == len(self._index):
						assert self._index[pos] == self._index[child]
					else:
						child_sum = self._index[child] + self._index[child + 1]
						assert child_sum == self._index[pos]
		except:
			traceback.print_exc(file=sys.stdout)
			print('len', self._len)
			print('load', self._load)
			print('offset', self._offset)
			print('len_index', len(self._index))
			print('index', self._index)
			print('len_maxes', len(self._maxes))
			print('maxes', self._maxes)
			print('len_keys', len(self._keys))
			print('keys', self._keys)
			print('len_lists', len(self._lists))
			print('lists', self._lists)
			raise
SortedListWithKey = SortedKeyList
from bisect import *
from collections import *
from math import gcd, ceil, sqrt, floor, inf
from heapq import *
from itertools import *
from operator import add, mul, sub, xor, truediv, floordiv
from functools import *
import os
import sys
from io import BytesIO, IOBase
BUFSIZE = 8192

class FastIO(IOBase):
	newlines = 0

	def __init__(self, file):
		self._fd = file.fileno()
		self.buffer = BytesIO()
		self.writable = 'x' in file.mode or 'r' not in file.mode
		self.write = self.buffer.write if self.writable else None

	def read(self):
		while True:
			b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
			if not b:
				break
			ptr = self.buffer.tell()
			(self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr))
		self.newlines = 0
		return self.buffer.read()

	def readline(self):
		while self.newlines == 0:
			b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
			self.newlines = b.count(b'\n') + (not b)
			ptr = self.buffer.tell()
			(self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr))
		self.newlines -= 1
		return self.buffer.readline()

	def flush(self):
		if self.writable:
			os.write(self._fd, self.buffer.getvalue())
			(self.buffer.truncate(0), self.buffer.seek(0))

class IOWrapper(IOBase):

	def __init__(self, file):
		self.buffer = FastIO(file)
		self.flush = self.buffer.flush
		self.writable = self.buffer.writable
		self.write = lambda s: self.buffer.write(s.encode('ascii'))
		self.read = lambda : self.buffer.read().decode('ascii')
		self.readline = lambda : self.buffer.readline().decode('ascii')
(sys.stdin, sys.stdout) = (IOWrapper(sys.stdin), IOWrapper(sys.stdout))
input = lambda : sys.stdin.readline().rstrip('\r\n')

def RL():
	return map(int, sys.stdin.readline().rstrip().split())

def RLL():
	return list(map(int, sys.stdin.readline().rstrip().split()))

def N():
	return int(input())

def A(n):
	return [0] * n

def AI(n, x):
	return [x] * n

def G(n):
	return [[] for i in range(n)]

def GP(it):
	return [[ch, len(list(g))] for (ch, g) in groupby(it)]
from types import GeneratorType

def bootstrap(f, stack=[]):

	def wrappedfunc(*args, **kwargs):
		if stack:
			return f(*args, **kwargs)
		else:
			to = f(*args, **kwargs)
			while True:
				if type(to) is GeneratorType:
					stack.append(to)
					to = next(to)
				else:
					stack.pop()
					if not stack:
						break
					to = stack[-1].send(to)
			return to
	return wrappedfunc
farr = [1]
ifa = []

def fact(x, mod=0):
	if mod:
		while x >= len(farr):
			farr.append(farr[-1] * len(farr) % mod)
	else:
		while x >= len(farr):
			farr.append(farr[-1] * len(farr))
	return farr[x]

def ifact(x, mod):
	global ifa
	ifa.append(pow(farr[-1], mod - 2, mod))
	for i in range(x, 0, -1):
		ifa.append(ifa[-1] * i % mod)
	ifa = ifa[::-1]

def per(i, j, mod=0):
	if i < j:
		return 0
	if not mod:
		return fact(i) // fact(i - j)
	return farr[i] * ifa[i - j] % mod

def com(i, j, mod=0):
	if i < j:
		return 0
	if not mod:
		return per(i, j) // fact(j)
	return per(i, j, mod) * ifa[j] % mod

def catalan(n):
	return com(2 * n, n) // (n + 1)

def isprime(n):
	for i in range(2, int(n ** 0.5) + 1):
		if n % i == 0:
			return False
	return True

def lowbit(n):
	return n & -n

def inverse(a, m):
	a %= m
	if a <= 1:
		return a
	return (1 - inverse(m, a) * m) // a % m

class BIT:

	def __init__(self, arr):
		self.arr = arr
		self.n = len(arr) - 1

	def update(self, x, v):
		while x <= self.n:
			self.arr[x] += v
			x += x & -x

	def query(self, x):
		ans = 0
		while x:
			ans += self.arr[x]
			x &= x - 1
		return ans

class DSU:

	def __init__(self, n):
		self.c = [-1] * n

	def same(self, x, y):
		return self.find(x) == self.find(y)

	def find(self, x):
		if self.c[x] < 0:
			return x
		self.c[x] = self.find(self.c[x])
		return self.c[x]

	def union(self, u, v):
		(u, v) = (self.find(u), self.find(v))
		if u == v:
			return False
		if self.c[u] < self.c[v]:
			(u, v) = (v, u)
		self.c[u] += self.c[v]
		self.c[v] = u
		return True

	def size(self, x):
		return -self.c[self.find(x)]

class UFS:

	def __init__(self, n):
		self.parent = [i for i in range(n)]
		self.ranks = [0] * n

	def find(self, x):
		if x != self.parent[x]:
			self.parent[x] = self.find(self.parent[x])
		return self.parent[x]

	def union(self, u, v):
		(pu, pv) = (self.find(u), self.find(v))
		if pu == pv:
			return False
		if self.ranks[pu] >= self.ranks[pv]:
			self.parent[pv] = pu
			if self.ranks[pv] == self.ranks[pu]:
				self.ranks[pu] += 1
		else:
			self.parent[pu] = pv

def Prime(n):
	c = 0
	prime = []
	flag = [0] * (n + 1)
	for i in range(2, n + 1):
		if not flag[i]:
			prime.append(i)
			c += 1
		for j in range(c):
			if i * prime[j] > n:
				break
			flag[i * prime[j]] = prime[j]
			if i % prime[j] == 0:
				break
	return (flag, prime)

def dij(s, graph):
	d = {}
	d[s] = 0
	heap = [(0, s)]
	seen = set()
	while heap:
		(dis, u) = heappop(heap)
		if u in seen:
			continue
		for v in graph[u]:
			if v not in d or d[v] > d[u] + graph[u][v]:
				d[v] = d[u] + graph[u][v]
				heappush(heap, (d[v], v))
	return d

def GP(it):
	return [[ch, len(list(g))] for (ch, g) in groupby(it)]

class DLN:

	def __init__(self, val):
		self.val = val
		self.pre = None
		self.next = None

def nb(i, j):
	for (ni, nj) in [[i + 1, j], [i - 1, j], [i, j - 1], [i, j + 1]]:
		if 0 <= ni < n and 0 <= nj < m:
			yield (ni, nj)

@bootstrap
def gdfs(r, p):
	if len(g[r]) == 1 and p != -1:
		yield None
	for ch in g[r]:
		if ch != p:
			yield gdfs(ch, r)
	yield None

@bootstrap
def dfs(x):
	global T
	tin[x] = T
	d[T] = x
	T += 1
	for ch in gb[x]:
		yield dfs(ch)
	tout[x] = T
	T += 1
	yield None

@bootstrap
def dfs2(x):
	f = False
	global ans
	ind = s.bisect_right(tin[x])
	dl = None
	if ind == len(s) or s[ind] > tout[x]:
		if ind:
			ind -= 1
			if tout[d[s[ind]]] > tin[x]:
				dl = s[ind]
				s.remove(dl)
		s.add(tin[x])
		f = True
	ans = max(ans, len(s))
	for v in ga[x]:
		yield dfs2(v)
	if f:
		s.remove(tin[x])
		if dl != None:
			s.add(dl)
	yield None
t = N()
for i in range(t):
	n = N()
	gb = G(n + 1)
	ga = G(n + 1)
	tin = A(n + 1)
	tout = A(n + 1)
	a = RLL()
	b = RLL()
	d = {}
	for i in range(2, n + 1):
		gb[b[i - 2]].append(i)
		ga[a[i - 2]].append(i)
	T = 0
	dfs(1)
	s = SortedList()
	ans = 1
	dfs2(1)
	print(ans)


import os
import sys
from io import BytesIO, IOBase
BUFSIZE = 8192

class FastIO(IOBase):
	newlines = 0

	def __init__(self, file):
		self._fd = file.fileno()
		self.buffer = BytesIO()
		self.writable = 'x' in file.mode or 'r' not in file.mode
		self.write = self.buffer.write if self.writable else None

	def read(self):
		while True:
			b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
			if not b:
				break
			ptr = self.buffer.tell()
			(self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr))
		self.newlines = 0
		return self.buffer.read()

	def readline(self):
		while self.newlines == 0:
			b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
			self.newlines = b.count(b'\n') + (not b)
			ptr = self.buffer.tell()
			(self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr))
		self.newlines -= 1
		return self.buffer.readline()

	def flush(self):
		if self.writable:
			os.write(self._fd, self.buffer.getvalue())
			(self.buffer.truncate(0), self.buffer.seek(0))

class IOWrapper(IOBase):

	def __init__(self, file):
		self.buffer = FastIO(file)
		self.flush = self.buffer.flush
		self.writable = self.buffer.writable
		self.write = lambda s: self.buffer.write(s.encode('ascii'))
		self.read = lambda : self.buffer.read().decode('ascii')
		self.readline = lambda : self.buffer.readline().decode('ascii')
(sys.stdin, sys.stdout) = (IOWrapper(sys.stdin), IOWrapper(sys.stdout))
input = lambda : sys.stdin.readline().rstrip('\r\n')

class SortedList:

	def __init__(self, iterable=[], _load=200):
		values = sorted(iterable)
		self._len = _len = len(values)
		self._load = _load
		self._lists = _lists = [values[i:i + _load] for i in range(0, _len, _load)]
		self._list_lens = [len(_list) for _list in _lists]
		self._mins = [_list[0] for _list in _lists]
		self._fen_tree = []
		self._rebuild = True

	def _fen_build(self):
		self._fen_tree[:] = self._list_lens
		_fen_tree = self._fen_tree
		for i in range(len(_fen_tree)):
			if i | i + 1 < len(_fen_tree):
				_fen_tree[i | i + 1] += _fen_tree[i]
		self._rebuild = False

	def _fen_update(self, index, value):
		if not self._rebuild:
			_fen_tree = self._fen_tree
			while index < len(_fen_tree):
				_fen_tree[index] += value
				index |= index + 1

	def _fen_query(self, end):
		if self._rebuild:
			self._fen_build()
		_fen_tree = self._fen_tree
		x = 0
		while end:
			x += _fen_tree[end - 1]
			end &= end - 1
		return x

	def _fen_findkth(self, k):
		_list_lens = self._list_lens
		if k < _list_lens[0]:
			return (0, k)
		if k >= self._len - _list_lens[-1]:
			return (len(_list_lens) - 1, k + _list_lens[-1] - self._len)
		if self._rebuild:
			self._fen_build()
		_fen_tree = self._fen_tree
		idx = -1
		for d in reversed(range(len(_fen_tree).bit_length())):
			right_idx = idx + (1 << d)
			if right_idx < len(_fen_tree) and k >= _fen_tree[right_idx]:
				idx = right_idx
				k -= _fen_tree[idx]
		return (idx + 1, k)

	def _delete(self, pos, idx):
		_lists = self._lists
		_mins = self._mins
		_list_lens = self._list_lens
		self._len -= 1
		self._fen_update(pos, -1)
		del _lists[pos][idx]
		_list_lens[pos] -= 1
		if _list_lens[pos]:
			_mins[pos] = _lists[pos][0]
		else:
			del _lists[pos]
			del _list_lens[pos]
			del _mins[pos]
			self._rebuild = True

	def _loc_left(self, value):
		if not self._len:
			return (0, 0)
		_lists = self._lists
		_mins = self._mins
		(lo, pos) = (-1, len(_lists) - 1)
		while lo + 1 < pos:
			mi = lo + pos >> 1
			if value <= _mins[mi]:
				pos = mi
			else:
				lo = mi
		if pos and value <= _lists[pos - 1][-1]:
			pos -= 1
		_list = _lists[pos]
		(lo, idx) = (-1, len(_list))
		while lo + 1 < idx:
			mi = lo + idx >> 1
			if value <= _list[mi]:
				idx = mi
			else:
				lo = mi
		return (pos, idx)

	def _loc_right(self, value):
		if not self._len:
			return (0, 0)
		_lists = self._lists
		_mins = self._mins
		(pos, hi) = (0, len(_lists))
		while pos + 1 < hi:
			mi = pos + hi >> 1
			if value < _mins[mi]:
				hi = mi
			else:
				pos = mi
		_list = _lists[pos]
		(lo, idx) = (-1, len(_list))
		while lo + 1 < idx:
			mi = lo + idx >> 1
			if value < _list[mi]:
				idx = mi
			else:
				lo = mi
		return (pos, idx)

	def add(self, value):
		_load = self._load
		_lists = self._lists
		_mins = self._mins
		_list_lens = self._list_lens
		self._len += 1
		if _lists:
			(pos, idx) = self._loc_right(value)
			self._fen_update(pos, 1)
			_list = _lists[pos]
			_list.insert(idx, value)
			_list_lens[pos] += 1
			_mins[pos] = _list[0]
			if _load + _load < len(_list):
				_lists.insert(pos + 1, _list[_load:])
				_list_lens.insert(pos + 1, len(_list) - _load)
				_mins.insert(pos + 1, _list[_load])
				_list_lens[pos] = _load
				del _list[_load:]
				self._rebuild = True
		else:
			_lists.append([value])
			_mins.append(value)
			_list_lens.append(1)
			self._rebuild = True

	def discard(self, value):
		_lists = self._lists
		if _lists:
			(pos, idx) = self._loc_right(value)
			if idx and _lists[pos][idx - 1] == value:
				self._delete(pos, idx - 1)

	def remove(self, value):
		_len = self._len
		self.discard(value)
		if _len == self._len:
			raise ValueError('{0!r} not in list'.format(value))

	def pop(self, index=-1):
		(pos, idx) = self._fen_findkth(self._len + index if index < 0 else index)
		value = self._lists[pos][idx]
		self._delete(pos, idx)
		return value

	def bisect_left(self, value):
		(pos, idx) = self._loc_left(value)
		return self._fen_query(pos) + idx

	def bisect_right(self, value):
		(pos, idx) = self._loc_right(value)
		return self._fen_query(pos) + idx

	def count(self, value):
		return self.bisect_right(value) - self.bisect_left(value)

	def __len__(self):
		return self._len

	def __getitem__(self, index):
		(pos, idx) = self._fen_findkth(self._len + index if index < 0 else index)
		return self._lists[pos][idx]

	def __delitem__(self, index):
		(pos, idx) = self._fen_findkth(self._len + index if index < 0 else index)
		self._delete(pos, idx)

	def __contains__(self, value):
		_lists = self._lists
		if _lists:
			(pos, idx) = self._loc_left(value)
			return idx < len(_lists[pos]) and _lists[pos][idx] == value
		return False

	def __iter__(self):
		return (value for _list in self._lists for value in _list)

	def __reversed__(self):
		return (value for _list in reversed(self._lists) for value in reversed(_list))

	def __repr__(self):
		return 'SortedList({0})'.format(list(self))

def solve():
	n = int(input())
	G1 = [[] for _ in range(n)]
	G2 = [[] for _ in range(n)]
	A = list(map(int, input().split()))
	B = list(map(int, input().split()))
	for i in range(1, n):
		G1[i].append(A[i - 1] - 1)
		G1[A[i - 1] - 1].append(i)
		G2[i].append(B[i - 1] - 1)
		G2[B[i - 1] - 1].append(i)
	tin = [0] * n
	tout = [0] * n
	stk = [0]
	visited = [False] * n
	T = 0
	ref_in = dict()
	ref_out = dict()
	while stk:
		x = stk[-1]
		if not visited[x]:
			visited[x] = True
			tin[x] = T
			ref_in[T] = x
			T += 1
			for y in G2[x]:
				if not visited[y]:
					stk.append(y)
		else:
			stk.pop()
			tout[x] = T
			ref_out[T] = x
			T += 1
	I = SortedList()
	O = SortedList()
	stk = [0]
	visited = [False] * n
	mem = []
	ans = 0
	while stk:
		v = stk[-1]
		if not visited[v]:
			visited[v] = True
			for y in G1[v]:
				if not visited[y]:
					stk.append(y)
			k = I.bisect_left(tin[v])
			u = ref_in[I[k]] if k < len(I) else -1
			if u != -1 and tout[u] < tout[v]:
				mem.append((-1, -1))
				continue
			k = O.bisect_left(tout[v])
			u = ref_out[O[k]] if k < len(O) else -1
			if u == -1 or tin[u] > tin[v]:
				I.add(tin[v])
				O.add(tout[v])
				mem.append((-1, v))
			else:
				mem.append((u, v))
				I.remove(tin[u])
				O.remove(tout[u])
				I.add(tin[v])
				O.add(tout[v])
			ans = max(ans, len(I))
		else:
			stk.pop()
			(x, y) = mem.pop()
			if y != -1:
				I.remove(tin[y])
				O.remove(tout[y])
			if x != -1:
				I.add(tin[x])
				O.add(tout[x])
	print(ans)
for nt in range(int(input())):
	solve()


import os
import sys
from io import BytesIO, IOBase
BUFSIZE = 8192

class FastIO(IOBase):
	newlines = 0

	def __init__(self, file):
		self._fd = file.fileno()
		self.buffer = BytesIO()
		self.writable = 'x' in file.mode or 'r' not in file.mode
		self.write = self.buffer.write if self.writable else None

	def read(self):
		while True:
			b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
			if not b:
				break
			ptr = self.buffer.tell()
			(self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr))
		self.newlines = 0
		return self.buffer.read()

	def readline(self):
		while self.newlines == 0:
			b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
			self.newlines = b.count(b'\n') + (not b)
			ptr = self.buffer.tell()
			(self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr))
		self.newlines -= 1
		return self.buffer.readline()

	def flush(self):
		if self.writable:
			os.write(self._fd, self.buffer.getvalue())
			(self.buffer.truncate(0), self.buffer.seek(0))

class IOWrapper(IOBase):

	def __init__(self, file):
		self.buffer = FastIO(file)
		self.flush = self.buffer.flush
		self.writable = self.buffer.writable
		self.write = lambda s: self.buffer.write(s.encode('ascii'))
		self.read = lambda : self.buffer.read().decode('ascii')
		self.readline = lambda : self.buffer.readline().decode('ascii')
(sys.stdin, sys.stdout) = (IOWrapper(sys.stdin), IOWrapper(sys.stdout))
input = lambda : sys.stdin.readline().rstrip('\r\n')

class FenwickTree:

	def __init__(self, x):
		self.bit = x
		for i in range(len(x)):
			j = i | i + 1
			if j < len(x):
				x[j] += x[i]

	def update(self, idx, x):
		while idx < len(self.bit):
			self.bit[idx] += x
			idx |= idx + 1

	def query(self, end):
		end += 1
		x = 0
		while end:
			x += self.bit[end - 1]
			end &= end - 1
		return x

	def findkth(self, k):
		idx = -1
		for d in reversed(range(len(self.bit).bit_length())):
			right_idx = idx + (1 << d)
			if right_idx < len(self.bit) and k >= self.bit[right_idx]:
				idx = right_idx
				k -= self.bit[idx]
		return idx + 1
g1 = []
g2 = []
st = []
ft = []

def dfs1(graph, start=0):
	n = len(graph)
	tim = 1
	visited = [False] * n
	stack = [start]
	while stack:
		start = stack[-1]
		if not visited[start]:
			st[start] = tim
			tim = tim + 1
			visited[start] = True
			for child in graph[start]:
				if not visited[child]:
					stack.append(child)
		else:
			stack.pop()
			ft[start] = tim

def Do(v):
	global ans, cnt, mem
	fen.update(st[v], 1)
	if fen.query(ft[v] - 1) - fen.query(st[v]):
		mem += [[v, 0, 0]]
		return
	u = fen2.query(st[v])
	ok[v] = 1
	cnt += 1
	fen2.update(st[v], v - u)
	fen2.update(ft[v], u - v)
	mem += [[v, u, ok[u]]]
	cnt -= ok[u]
	ok[u] = 0
	return

def undo():
	global cnt, ans, mem
	[v, u, a] = mem[-1]
	if a != 0:
		ok[u] = 1
		cnt += 1
	cnt -= 1
	ok[v] = 0
	fen.update(st[v], -1)
	fen2.update(st[v], u - v)
	fen2.update(ft[v], v - u)
	mem.pop()
	return

def dfs(graph, start=0):
	global ans, cnt
	n = len(graph)
	visited = [False] * n
	stack = [start]
	while stack:
		start = stack[-1]
		if not visited[start]:
			Do(start)
			ans = max(ans, cnt)
			visited[start] = True
			for child in graph[start]:
				if not visited[child]:
					stack.append(child)
		else:
			stack.pop()
			undo()

def solve():
	global n, g1, g2, V, st, ft, fen, fen2, mem, ok, cnt, ans
	n = int(input())
	if n == 1:
		print(1)
		exit(0)
	g1 = []
	g2 = []
	for i in range(n):
		g1.append([])
		g2.append([])
	V = list(map(int, input().split()))
	for i in range(1, n):
		v = V[i - 1] - 1
		g1[v].append(i)
	V = list(map(int, input().split()))
	for i in range(1, n):
		v = V[i - 1] - 1
		g2[v].append(i)
	st = [0] * (n + 100)
	ft = [0] * (n + 100)
	fen = FenwickTree([0] * (n + 3))
	fen2 = FenwickTree([0] * (n + 3))
	mem = []
	ok = [0] * (n + 100)
	cnt = 0
	ans = 0
	dfs1(g2)
	dfs(g1)
	print(ans)
q = int(input())
for i in range(q):
	solve()


import sys
input = sys.stdin.buffer.readline

class bit:

	def __init__(self, n):
		self.n = n
		self.a = [0] * (n + 1)

	def add(self, idx, val):
		idx += 1
		while idx < self.n:
			self.a[idx] += val
			idx += idx & -idx

	def sumr(self, idx):
		idx += 1
		tot = 0
		while idx:
			tot += self.a[idx]
			idx -= idx & -idx
		return tot

	def sum(self, l, r):
		return self.sumr(r) - self.sumr(l - 1)

def add(i):
	bit2.add(tin[i], 1)
	bit1.add(tin[i], i)
	bit1.add(tout[i] + 1, -i)

def remove(i):
	bit2.add(tin[i], -1)
	bit1.add(tin[i], -i)
	bit1.add(tout[i] + 1, i)
for _ in range(int(input())):
	n = int(input())
	adj = [[[] for i in range(n + 1)] for j in range(2)]
	for k in range(2):
		a = list(map(int, input().split()))
		for i in range(2, n + 1):
			adj[k][a[i - 2]].append(i)
	ans = 0
	tin = [0] * (n + 1)
	tout = [0] * (n + 1)
	t = -1
	s = [1]
	visited = [0] * (n + 1)
	while s:
		c = s[-1]
		if not visited[c]:
			t += 1
			tin[c] = t
			visited[c] = 1
			for ne in adj[1][c]:
				if not visited[ne]:
					s.append(ne)
		else:
			tout[c] = t
			s.pop()
	curr_mx = 0
	bit1 = bit(n + 1)
	bit2 = bit(n + 1)
	ops = []
	s = [1]
	visited = [0] * (n + 1)
	while s:
		c = s[-1]
		if not visited[c]:
			visited[c] = 1
			u = bit1.sumr(tin[c])
			if u:
				remove(u)
				add(c)
				ops.append([u, c])
			elif bit2.sum(tin[c], tout[c]):
				ops.append([0, 0])
			else:
				add(c)
				curr_mx += 1
				ops.append([0, c])
			ans = max(ans, curr_mx)
			for ne in adj[0][c]:
				if not visited[ne]:
					s.append(ne)
		else:
			(u, v) = ops.pop()
			if u:
				add(u)
				curr_mx += 1
			if v:
				remove(v)
				curr_mx -= 1
			s.pop()
	print(ans)