#include<stdio.h>
#include<stdlib.h>

int main(void){

	int N,L;
	scanf("%d%d",&N,&L);
	int time=0;
	int pro=0;
	while(N>0){
		int X,W,T;
		scanf("%d%d%d",&X,&W,&T);
		time+=X-pro;
		pro=X;
		if((time/T)%2==0 && ((time+W-1)/T)%2==0){
			time+=W;
			pro+=W;
		} else {
			time+=W+T-time%T+((time/T)%2==0?T:0);
			pro+=W;
		}
		N--;
	}
	time+=L-pro;
	printf("%d\n",time);
	return 0;
}