#pragma GCC optimize("Ofast")
#pragma GCC target("avx2")

#define rd_skip() while(*rp++>=48)
#define rd() ({long _v=0,_c;while(_c=*rp++-48,_c>=0)_v=_v*10+_c;_v;})
#define wt(v) {ulong _z=v;do*--wp=_z%10+48;while(_z/=10);}
#define rep(v,e) for(long v=0;v<e;++v)
#define rrep(v,e) for(long v=e;v--;)
#define min(a,b) (a<=b?a:b)

typedef unsigned long ulong;
char wbuf[1<<25];
ulong r[100000];

int main(){
	char*mmap();
	char*rp=mmap(0l,1l<<25,1,2,0,0ll);
	long t=rd();
	rep(i,t){
	    ulong a=rd();
	    ulong b=rd();
	    ulong c=rd();
		ulong d=b>>1;
		ulong e=min(a,c);
		a-=e;
		c-=e;
		ulong f=a?b&1:0;
		ulong g=c>>1;
		r[i]=(d+e)*2+f+g;
	}
	{
		char*wp=wbuf+sizeof wbuf;
		rrep(i,t){
			*--wp='\n';
			wt(r[i]);
		}
		write(1,wp,wbuf+sizeof wbuf-wp);
	}
	_exit(0);
}