#include <iostream>
#include <cstdio>
#include <vector>
#include <queue>
#include <array>
#include <cstring>
#include <set>
#include <algorithm>
#include <numeric>

using namespace std;

using i64 = long long;

const int N = 2e5 + 7;

const int M = 100;

void solve()
{
    i64 n, m;
    cin >> n >> m;
    vector<i64> w(n + 1), l(n + 1), r(n + 1);
    i64 all = m, ans = 0;
    for (int i = 1; i <= n; i++)
    {
        cin >> w[i] >> l[i] >> r[i];
        all -= l[i];
        ans += w[i] * l[i];
    }
    vector<int> ord(n);
    iota(ord.begin(), ord.end(), 1);
    sort(ord.begin(), ord.end(), [&](int x, int y) -> bool
         { return w[x] < w[y]; });
    vector<i64> sum(n + 3), cnt(n + 3);
    for (int i = n; i >= 1; i--)
    {
        sum[i] = sum[i + 1] + w[ord[i - 1]] * (r[ord[i - 1]] - l[ord[i - 1]]);
        cnt[i] = cnt[i + 1] + r[ord[i - 1]] - l[ord[i - 1]];
    }
    i64 lastans = 0;
    // cerr << ans << ' ' << all << '\n';
    for (int t = 0; t < n; t++)
    {
        int k = t + 1;
        int i = ord[t];
        // modify i -> [0,m]
        i64 used = ans, used_all = all;
        used -= l[i] * w[i];
        used_all += l[i];
        // cerr<<i<<' ' << l[i] << '\n';
        // cerr << used_all << '\n';
        int lb = 1, rb = n, res = -1;
        while (lb <= rb)
        {
            int mid = (lb + rb) >> 1;
            if (cnt[mid] <= used_all)
            {
                res = mid;
                rb = mid - 1;
            }
            else
            {
                lb = mid + 1;
            }
        }
        // cerr << res << '\n';
        if (res <= k)
        {
            used += sum[k + 1];
            used += w[i] * (used_all - cnt[k + 1]);
        }
        else
        {
            used += sum[res];
            // cerr<<"ok: " << res << '\n';
            if (res - 2 >= 0)
                used += w[ord[res - 2]] * (used_all - cnt[res]);
        }
        lastans = max(lastans, used);
    }
    cout << lastans << '\n';
}

int main()
{
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout.tie(nullptr);
    int test = 1;
    // cin >> test;
    while (test--)
    {
        solve();
    }
    return 0;
}