Generate a YGOPro Lua script for the following Yu-Gi-Oh card effect:
Target an equal number of "Sky Striker Ace" monsters and "Sky Striker" Spells in your GY; shuffle them into the Deck, then, for every 3 shuffled cards, you can return up to 1 card on the field to the hand. If a "Sky Striker" monster(s) is Special Summoned to your field, while this card is in your GY (except during the Damage Step): You can banish this card; immediately after this effect resolves, Link Summon 1 "Sky Striker Ace" Link Monster. You can only use each effect of "Sky Striker Special Maneuver - Lemnisgate!" once per turn.
--閃刀亜式－レムニスゲート
--Sky Striker Special Maneuver - Lemnisgate!
--scripted by pyrQ
local s,id=GetID()
function s.initial_effect(c)
	--Activate
	local e1=Effect.CreateEffect(c)
	e1:SetDescription(aux.Stringid(id,0))
	e1:SetCategory(CATEGORY_TODECK+CATEGORY_TOHAND)
	e1:SetType(EFFECT_TYPE_ACTIVATE)
	e1:SetProperty(EFFECT_FLAG_CARD_TARGET)
	e1:SetCode(EVENT_FREE_CHAIN)
	e1:SetHintTiming(0,TIMING_STANDBY_PHASE|TIMING_MAIN_END|TIMINGS_CHECK_MONSTER_E)
	e1:SetCountLimit(1,id)
	e1:SetTarget(s.target)
	e1:SetOperation(s.activate)
	c:RegisterEffect(e1)
	--Immediately after this effect resolves, Link Summon 1 "Sky Striker Ace" Link Monster
	local e2=Effect.CreateEffect(c)
	e2:SetDescription(aux.Stringid(id,1))
	e2:SetCategory(CATEGORY_SPECIAL_SUMMON)
	e2:SetType(EFFECT_TYPE_FIELD+EFFECT_TYPE_TRIGGER_O)
	e2:SetProperty(EFFECT_FLAG_DELAY,EFFECT_FLAG2_CHECK_SIMULTANEOUS)
	e2:SetCode(EVENT_SPSUMMON_SUCCESS)
	e2:SetRange(LOCATION_GRAVE)
	e2:SetCountLimit(1,{id,1})
	e2:SetCondition(s.spcon)
	e2:SetCost(Cost.SelfBanish)
	e2:SetTarget(s.sptg)
	e2:SetOperation(s.spop)
	c:RegisterEffect(e2)
end
s.listed_series={SET_SKY_STRIKER_ACE,SET_SKY_STRIKER}
function s.tdfilter(c,e)
	return ((c:IsSetCard(SET_SKY_STRIKER_ACE) and c:IsMonster()) or (c:IsSetCard(SET_SKY_STRIKER) and c:IsSpell()))
		and c:IsAbleToDeck() and c:IsCanBeEffectTarget(e)
end
function s.rescon(full_mct,full_sct)
	return function(sg,e,tp,mg)
		local mct=sg:FilterCount(Card.IsMonster,nil)
		local sct=#sg-mct
		if mct==sct then return true end
		local rem_mct=full_mct-mct
		local rem_sct=full_sct-sct
		return false,mct>sct and rem_sct<(mct-sct) or rem_mct<(sct-mct)
	end
end
function s.target(e,tp,eg,ep,ev,re,r,rp,chk,chkc)
	if chkc then return false end
	local g=Duel.GetMatchingGroup(s.tdfilter,tp,LOCATION_GRAVE,0,nil,e)
	local full_mct=g:FilterCount(Card.IsMonster,nil)
	local full_sct=#g-full_mct
	local rescon=s.rescon(full_mct,full_sct)
	if chk==0 then return full_mct>0 and full_sct>0 and aux.SelectUnselectGroup(g,e,tp,2,2,rescon,0) end
	local tg=aux.SelectUnselectGroup(g,e,tp,2,math.min(full_mct,full_sct)*2,rescon,1,tp,HINTMSG_TODECK,rescon)
	Duel.SetTargetCard(tg)
	Duel.SetOperationInfo(0,CATEGORY_TODECK,tg,#tg,tp,0)
	Duel.SetPossibleOperationInfo(0,CATEGORY_TOHAND,nil,1,tp,LOCATION_ONFIELD)
end
function s.activate(e,tp,eg,ep,ev,re,r,rp)
	local tg=Duel.GetTargetCards(e)
	if #tg>0 and Duel.SendtoDeck(tg,nil,SEQ_DECKSHUFFLE,REASON_EFFECT)>0
		and Duel.IsExistingMatchingCard(Card.IsAbleToHand,tp,LOCATION_ONFIELD,LOCATION_ONFIELD,1,nil) then
		local ct=Duel.GetOperatedGroup():FilterCount(Card.IsLocation,nil,LOCATION_DECK|LOCATION_EXTRA)//3
		if ct>0 and Duel.SelectYesNo(tp,aux.Stringid(id,2)) then
			Duel.Hint(HINT_SELECTMSG,tp,HINTMSG_RTOHAND)
			local g=Duel.SelectMatchingCard(tp,Card.IsAbleToHand,tp,LOCATION_ONFIELD,LOCATION_ONFIELD,1,ct,nil)
			if #g>0 then
				Duel.HintSelection(g)
				Duel.BreakEffect()
				Duel.SendtoHand(g,nil,REASON_EFFECT)
			end
		end
	end
end
function s.spconfilter(c,tp)
	return c:IsSetCard(SET_SKY_STRIKER) and c:IsControler(tp) and c:IsFaceup()
end
function s.spcon(e,tp,eg,ep,ev,re,r,rp)
	return eg:IsExists(s.spconfilter,1,nil,tp)
end
function s.spfilter(c)
	return c:IsSetCard(SET_SKY_STRIKER_ACE) and c:IsLinkSummonable()
end
function s.sptg(e,tp,eg,ep,ev,re,r,rp,chk)
	if chk==0 then return Duel.IsExistingMatchingCard(s.spfilter,tp,LOCATION_EXTRA,0,1,nil) end
	Duel.SetOperationInfo(0,CATEGORY_SPECIAL_SUMMON,nil,1,tp,LOCATION_EXTRA)
end
function s.spop(e,tp,eg,ep,ev,re,r,rp)
	Duel.Hint(HINT_SELECTMSG,tp,HINTMSG_SPSUMMON)
	local sc=Duel.SelectMatchingCard(tp,s.spfilter,tp,LOCATION_EXTRA,0,1,1,nil):GetFirst()
	if sc then
		Duel.LinkSummon(tp,sc)
	end
end