#include <bits/stdc++.h>
#define fast_input_output() ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr)
using namespace std;
typedef long long ll;
long long const mod = 1e9 + 7;
ll n, d; vector<vector<ll>> v;
bool check(ll f) {
for (int i = 0; i < n; i++) {
ll x = v[i][0], a = v[i][1], b = v[i][2];
if (f < x - (i ? v[i - 1][0] : 0)) return false;
if (f <= b) f += a;
}
return (f >= d - v.back()[0]);
}
int main() {
fast_input_output();
cin >> n >> d; v.resize(n, vector<ll>(3, 0));
for (int i = 0; i < n; i++) cin >> v[i][0] >> v[i][1] >> v[i][2];
sort(v.begin(), v.end());
ll l = v.front().front(), r = 1000000000ll, mid, res = INT_MAX;
while (l <= r) {
mid = ((l + r) >> 1);
if (check(mid)) {
r = mid - 1;
res = mid;
} else l = mid + 1;
}
cout << res;
return 0;
}
