#include <cstdio>
#include <iostream>
#include <sstream>
#include <fstream>
#include <iomanip>
#include <algorithm>
#include <cmath>
#include <string>
#include <vector>
#include <list>
#include <queue>
#include <stack>
#include <set>
#include <map>
#include <bitset>
#include <numeric>
#include <limits>
#include <climits>
#include <cfloat>
#include <functional>
using namespace std;

int main()
{
    int n, len;
    cin >> n >> len;

    vector<int> x(n), w(n), t(n);
    for(int i=0; i<n; ++i)
        cin >> x[i] >> w[i] >> t[i];

    int pos = 0;
    int ret = 0;
    while(pos < len){
        ++ pos;
        for(int i=0; i<n; ++i){
            if(x[i] < pos && pos <= x[i] + w[i] && ret / t[i] % 2 != 0)
                pos = x[i];
        }
        ++ ret;
    }
    cout << ret << endl;

    return 0;
}