#include <iostream>
#include <vector>

int main(){
    std::ios::sync_with_stdio(false);
    std::cin.tie(0);
    
    int n, l;
    std::cin >> n >> l;
    std::vector<int> x(n), w(n), t(n);
    for(int i=0; i<n; ++i){
        std::cin >> x[i] >> w[i] >> t[i];
    }
    int addTime = 0;
    for(int i=0; i<n; ++i){
        //std::cout << (addTime+x[i])%(t[i]*2) << " " << (addTime+x[i]+w[i])%(t[i]*2) << "\n";
        while((addTime+x[i])%(t[i]*2)>=t[i] || (addTime+x[i]+w[i])%(t[i]*2)>t[i]){
            ++addTime;
            //std::cout << "*";
        }
        //std::cout << "\n";
    }
    std::cout << l+addTime << "\n";
    return 0;
}