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

void*shmat();
void*mmap();
#define RD(v) int v=0;{int _c;while(_c=*rp++-48,_c>=0)v=v*10+_c;}
#define RDL(v) long v=0;{int _c;while(_c=*rp++-48,_c>=0)v=v*10+_c;}

char wbuf[8*10000];

#define TMAX 1000000000000001l
#define JMAX 28

main(){
	int id=shmget(101,8l*3000*JMAX,950);
	long(*c)[JMAX]=shmat(id,0l,0);
	if(c[0][0]==0){
		c[0][0]=1;
		for(int i=1;i<3000;++i){
			c[i][0]=1;
			for(int j=1;j<JMAX;++j){
				long x=c[i-1][j-1]+c[i-1][j];
				c[i][j]=x<TMAX?x:TMAX;
			}
		}
	}

	char*rp=mmap(0l,27l*10000+6,1,2,0,0ll);
	char*wp=wbuf;
	while(*rp++!=10);
	do{
		RD(d);
		RD(x);
		RDL(t);
		--d;
		int i=x+d;
		int j=x<d?x:d;
		if(j>=JMAX||c[i][j]>t){
			*(long*)wp=0x0a554f425554455al;
			wp+=8;
		}else{
			*(int*)wp=0x0a204341;
			wp+=4;
		}
	}while(*rp);
	write(1,wbuf,wp-wbuf);
	_exit(0);
}