#include <stdio.h>

typedef struct{
	int x;
	int w;
	int t;
}JUNCTION;

JUNCTION junc[105];

int main(void){
	int i;
	int N,L;
	int time = 0;
	scanf("%d %d", &N, &L);
	
	junc[0].x = 0;
	junc[0].w = 0;
	junc[0].t = 0;
	
	for(i=1;i<=N;i++){
		scanf("%d %d %d", &junc[i].x, &junc[i].w, &junc[i].t);
	}
	
	junc[N+1].x = L;
	junc[N+1].w = 0;
	junc[N+1].t = 0;
	
	for(i=1;i<=N+1;i++){
		int nowSignal;
		int dis = junc[i].x - junc[i-1].x;
		time += dis;
		
		if(junc[i].x == L){
			break;
		}
		
		nowSignal = time%(junc[i].t*2);
		if( nowSignal < junc[i].t ){
			if( junc[i].t < (nowSignal+ junc[i].w)){
				time += junc[i].t-nowSignal;
				time += junc[i].t;
			}
		}else{
			time += (junc[i].t*2) - nowSignal;
		}
		
	}
	
	printf("%d\n", time);
	return 0;
}