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

#define WTHI(v) {ulong _z=v,_n=0,_d=0;while(++_n,_d=_d<<8|0x30|_z%10,_z/=10);*(ulong*)wp=_d;wp+=_n;}
#define WTLO(v) {ulong _z=v,_n=8,_d=0;while(_d=_d<<8|0x30|_z%10,_z/=10,--_n);*(ulong*)wp=_d;wp+=8;}
#define wt(v) {ulong _v=v;if(_v>=100000000){if(_v>=10000000000000000l){WTHI(_v/10000000000000000l);WTLO(_v/100000000);}else WTHI(_v/100000000);WTLO(_v);}else{WTHI(_v);}}

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

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

int main(){
	char*mmap();
	char*rp=mmap(0l,1l<<25,1,2,0,0ll);
	char*wp=wbuf;
	rd_skip();
	while(*rp){
	    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;
		wt((d+e)*2+f+g);
		*wp++='\n';
	}
	write(1,wbuf,wp-wbuf);
	_exit(0);
}