#!/usr/bin/ruby
def solve(s)
	al=[]
	ar=[]
	ah=[0]*s.size
	ast=[]
	s.size.times{|i|
		if s[i]==?(
			al<<i
		elsif s[i]==?)
			ar<<i
		elsif s[i]=='^'
			ah[i]+=1
		elsif s[i]=='*'
			ast<<i
		end
	}
	(1...s.size).each{|i|ah[i]+=ah[i-1]}
	ret=0
	al.each{|l|ar.each{|r|next if l>=r
		hidx=(l...r).bsearch{|i|ah[i]>=ah[l]+2}
		next if !hidx
		st=ast.bsearch{|e|e>=hidx}||s.size
		if st<r
			#p [l,st,r]
			ret+=1
		end
	}}
	ret
end
s=gets.chomp
puts [solve(s),solve(s.reverse.tr('()',')('))]*' '