#include <iostream>
#include <algorithm>
using namespace std;
int main()
{
    int n, l;
    while (cin>>n>>l) {
        vector<long long> x(n), w(n), t(n);
        for(int i=0;i<n;++i) cin>>x[i]>>w[i]>>t[i];

        auto wt=0LL;
        for(int i=0;i<n;++i) {
            auto ct=wt+x[i];
            auto r=ct/t[i];
            if (r%2==1)
                wt+=(r+1)*t[i]-ct;
            else if (ct+w[i]>(r+1)*t[i])
                wt+=(r+2)*t[i]-ct;
        }
        cout<<l+wt<<endl;
    }
}