#include <stdio.h>

#define	NMAX	(100)
#define	RMAX	(100000)
#define TMAX	(20000000)

typedef struct{
	int w;
	int t;
}INTERSECTION;

INTERSECTION inter[NMAX+5];
int road[RMAX+5];

int main(void){
	int i,N,L;
	
	int step, npos=0;
	
	scanf("%d %d", &N, &L);
	for(i=1;i<=N;i++){
		int X,W,T;
		scanf("%d %d %d", &X, &W, &T);
		inter[i].w = W;
		inter[i].t = T;
		
		road[X] = i;
	}
	
	for(step=1 ; step < TMAX; step++){
		
		
		if(road[npos+1] == 0){
			npos += 1;
//			printf("%d %d\n", step, npos);
		}else{
			// 現在の時間+交差点の時間*2
			int nroad = road[npos+1];
			int nowSignal = step%(inter[nroad].t*2);
			if(nowSignal < inter[nroad].t){
				int tf=1;
				for(i=0;i<inter[nroad].w;i++){
					int ts = (step+i)%(inter[nroad].t*2);
					if(ts < inter[nroad].t){
					}else{
						tf=0;
					}
//					printf(" In Blue %d %d %d %d\n", ts, step,i, inter[nroad].t*2);
				}
				
				if(tf==1){
					npos+=1;
				}
				
//				printf("blue %d %d %d\n", step, npos,L);
			}else{
//				printf("Red  %d %d %d\n", step, npos,L);
			}
		}
		if(npos == L){
			printf("%d\n", step);
			break;
		}
	}
	
	return 0;
}