Generate a YGOPro Lua script for the following Yu-Gi-Oh card effect:
When a Spell/Trap Card, or monster effect, is activated: Discard the same type of card (Monster, Spell, or Trap); negate the activation, and if you do, destroy it.
--神の摂理
--Ultimate Providence
local s,id=GetID()
function s.initial_effect(c)
	--Activate
	local e1=Effect.CreateEffect(c)
	e1:SetCategory(CATEGORY_NEGATE+CATEGORY_DESTROY)
	e1:SetType(EFFECT_TYPE_ACTIVATE)
	e1:SetCode(EVENT_CHAINING)
	e1:SetCondition(s.condition)
	e1:SetCost(s.cost)
	e1:SetTarget(s.target)
	e1:SetOperation(s.activate)
	c:RegisterEffect(e1)
end
function s.condition(e,tp,eg,ep,ev,re,r,rp)
	return (re:IsMonsterEffect() or re:IsHasType(EFFECT_TYPE_ACTIVATE)) and Duel.IsChainNegatable(ev)
end
function s.cfilter(c,type)
	return c:IsType(type) and c:IsDiscardable()
end
function s.cost(e,tp,eg,ep,ev,re,r,rp,chk)
	if Duel.IsPlayerAffectedByEffect(tp,EFFECT_DISCARD_COST_CHANGE) then return true end
	local type=(re:GetActiveType()&(TYPE_MONSTER|TYPE_SPELL|TYPE_TRAP))
	if chk==0 then return Duel.IsExistingMatchingCard(s.cfilter,tp,LOCATION_HAND,0,1,nil,type) end
	Duel.DiscardHand(tp,s.cfilter,1,1,REASON_COST|REASON_DISCARD,nil,type)
end
function s.target(e,tp,eg,ep,ev,re,r,rp,chk)
	if chk==0 then return true end
	Duel.SetOperationInfo(0,CATEGORY_NEGATE,eg,1,0,0)
	if re:GetHandler():IsDestructable() and re:GetHandler():IsRelateToEffect(re) then
		Duel.SetOperationInfo(0,CATEGORY_DESTROY,eg,1,0,0)
	end
end
function s.activate(e,tp,eg,ep,ev,re,r,rp)
	if not Duel.NegateActivation(ev) then return end
	if re:GetHandler():IsRelateToEffect(re) then 
		Duel.Destroy(eg,REASON_EFFECT)
	end
end