// yukicoder: 139 交差点
// 2019.6.2 bal4u

#include <stdio.h>

#if 1
#define gc() getchar_unlocked()
#else
#define gc() getchar()
#endif

int in()    // 非負整数の入力
{
	int n = 0, c = gc();
	do n = 10 * n + (c & 0xf); while ((c = gc()) >= '0');
	return n;
}

int x[102], w[102], t[102];

int calc(int a, int pre, int now, int w, int t) {
	int t1 = a + now-pre;
	int t2 = t1 + w;
	int tt = (t1-1)/t + 1;
	if ((t2-1)/t+1 == tt && (tt & 1)) return t1;
	if (tt & 1) tt++;
	return tt*t;
}

int main()
{
	int i, N, L, ans;
	
	N = in(), L = in();
	for (i = 1; i <= N; i++) x[i] = in(), w[i] = in(), t[i] = in();
	ans = 0; for (i = 1; i <= N; i++)
		ans = calc(ans, x[i-1], x[i], w[i], t[i]);
	printf("%d\n", ans+L-x[N]);
	return 0;
}