#include<bits/stdc++.h>
using namespace std;
int n,l,weight;
int sta[50001][2],we[50001];
int main(){
	freopen("meetings.in","r",stdin);
	freopen("meetings.out","w",stdout);
	cin>>n>>l;
	l*=2;
	for(int i=1;i<=n;++i){
		cin>>we[i];
		weight+=we[i];
		cin>>sta[i][0]>>sta[i][1];
		sta[i][0]*=2;
	}
	int sumwe=0;
	int meet=0;
	int first=1;
	int last=n;
	while(sumwe<weight/2){
		for(int i=first;i<=last;++i){
			sta[i][0]+=sta[i][1];
			if(sta[i][0]==0){
				++first;
				sumwe+=we[i];
			}else if(sta[i][0]==l){
				--last;
				sumwe+=we[i];
			}else if(i!=first && sta[i][0]==sta[i-1][0]){
				++meet;
				sta[i][1]*=-1;
				sta[i-1][1]*=-1;
			}
		}
	}
	cout<<meet<<endl;
	return 0;
}