Generate a YGOPro Lua script for the following Yu-Gi-Oh card effect:
When this card inflicts Battle Damage to your opponent by a direct attack, remove from play all Synchro Monsters in your opponent's Graveyard, and inflict 1000 damage to your opponent for each monster removed.
--記憶破壊王
--Memory Crush King
local s,id=GetID()
function s.initial_effect(c)
	--remove
	local e1=Effect.CreateEffect(c)
	e1:SetDescription(aux.Stringid(id,0))
	e1:SetCategory(CATEGORY_REMOVE+CATEGORY_DAMAGE)
	e1:SetType(EFFECT_TYPE_SINGLE+EFFECT_TYPE_TRIGGER_F)
	e1:SetCode(EVENT_BATTLE_DAMAGE)
	e1:SetCondition(s.condition)
	e1:SetTarget(s.target)
	e1:SetOperation(s.operation)
	c:RegisterEffect(e1)
end
function s.condition(e,tp,eg,ep,ev,re,r,rp)
	return ep~=tp and Duel.GetAttackTarget()==nil
end
function s.filter(c)
	return c:IsType(TYPE_SYNCHRO) and c:IsAbleToRemove() and aux.SpElimFilter(c,true)
end
function s.target(e,tp,eg,ep,ev,re,r,rp,chk)
	if chk==0 then return true end
	local g=Duel.GetMatchingGroup(s.filter,tp,0,LOCATION_MZONE|LOCATION_GRAVE,nil)
	if #g~=0 then
		Duel.SetOperationInfo(0,CATEGORY_REMOVE,g,#g,0,0)
		Duel.SetOperationInfo(0,CATEGORY_DAMAGE,nil,0,1-tp,#g*1000)
	end
end
function s.operation(e,tp,eg,ep,ev,re,r,rp)
	local g=Duel.GetMatchingGroup(s.filter,tp,0,LOCATION_MZONE|LOCATION_GRAVE,nil)
	local ct=Duel.Remove(g,POS_FACEUP,REASON_EFFECT)
	if ct~=0 then
		Duel.Damage(1-tp,ct*1000,REASON_EFFECT)
	end
end