t = gets.to_i

results = []

t.times{
	a,b,c = gets.split.map &:to_i
	
	result = 0
	
	if c > a then
		result += a * 2
		c -= a
		result += c / 2
		result += b / 2 * 2
	else
		result += c * 2
		a = a - c
		result += b / 2 * 2
		
		if b % 2 == 1 && a>0 then
			result += 1
		end
	end
	
	results << result
}

puts results