package main

import . "fmt"
import . "os"
import bf "bufio"

func main() {
	rd:=bf.NewReader(Stdin)
	var t int
	Fscan(rd,&t)
	for ;t>0;t-- {
		var a,b,c,x uint64
		Fscan(rd,&a,&b,&c)
		x=b/2*2
		b%=2
		if a<c {
			x+=a*2
			c-=a
			a=0
		} else {
			x+=c*2
			a-=c
			c=0
		}
		if a<b {
			x+=a
		} else {
			x+=b
		}
		x+=c/2
		Println(x)
	}
}