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*/

///YEAH IM THE BEST I'VE EVER WAS

///SO HAPPY

#include <bits/stdc++.h>

#define fr first

#define sc second

#define m_p make_pair

#define unique(a) a.resize(unique(a.begin(), a.end()) - a.begin())

#define low_bo(a, x) lower_bound(a.begin(), a.end(), x) - a.begin()

#include <ext/pb_ds/assoc_container.hpp>

using namespace __gnu_pbds;

//gp_hash_table<int, int> table;

//#pragma GCC optimize("O3")
//#pragma GCC optimize("Ofast,no-stack-protector")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx")
//#pragma GCC target("avx,tune=native")
//float __attribute__((aligned(32)))

/*char memory[(int)1e8];

char memorypos;

inline void * operator new(size_t n){
    char * ret = memory + memorypos;
    memorypos += n;
    return (void *)ret;
}

inline void operator delete(void *){}
*/

using namespace std;

typedef long long ll;

typedef unsigned long long ull;

typedef long double ld;

typedef unsigned int uint;

ll sqr(ll x){
    return x * x;
}

int mysqrt(ll x){
    int l = 0, r = 1e9 + 1;
    while (r - l > 1){
        int m = (l + r) / 2;
        if (m * (ll)m <= x)
            l = m;
        else
            r = m;
    }
    return l;
}

mt19937 rnd(1227);

mt19937_64 rndll(12365);

int gcd(int a, int b){
    return a ? gcd(b % a, a) : b;
}

int gcdex(int a, int b, int &x, int &y){
    if (a == 0){
        x = 0;
        y = 1;
        return b;
    }
    int x1, y1;
    int ret = gcdex(b % a, a, x1, y1);
    x = y1 - (b / a) * x1;
    y = x1;
    return ret;
}

const int Mod = 1e9 + 7;

int Bpow(int x, int y){
    int ret = 1;
    int w = x;
    while (y){
        if (y & 1)
            ret = (ret * (ll)w) % Mod;
        w = (w * (ll)w) % Mod;
        y >>= 1;
    }
    return ret;
}

int Bdiv(int x){
    int a, b;
    gcdex(x, Mod, a, b);
    if (a < 0)
        a += Mod;
    return a;
}

int Bdiv(int x, int y){
    return (x * (ll)Bpow(y, Mod - 2)) % Mod;
}

inline int ad(int x, int y){
    return x + y >= Mod ? x + y - Mod : x + y;
}

inline int dif(int x, int y){
    return x - y < 0 ? x - y + Mod : x - y;
}

inline int mul(int x, int y){
    return (x * (ll)y) % Mod;
}

int inv(int a){
    int b = Mod, x = 0, y = 1;
    while (a){
        int t = b / a;
        b -= a * t;
        x -= t * y;
        swap(a, b);
        swap(x, y);
    }
    if (x < 0)
        x += Mod;
    return x;
}

void setmin(int &x, int y){
    x = min(x, y);
}

void setmax(int &x, int y){
    x = max(x, y);
}

void setmin(ll &x, ll y){
    x = min(x, y);
}

void setmax(ll &x, ll y){
    x = max(x, y);
}

const ll llinf = 4e18 + 100;

const double eps = 1e-9;

const int maxn = 1e5 + 100, maxw = 1e6 + 100, inf = 1e9 + 100, mod = 1e9 + 7;

int n, X, le[maxn], re[maxn], sc[maxn], pos[maxn];

ll p[maxn];

int main() {
    #ifdef ONPC
    freopen("a.in", "r", stdin);
    freopen("a.out", "w", stdout);
    #else
    //freopen("markchain.in", "r", stdin);
    //freopen("markchain.out", "w", stdout);
    #endif // ONPC
    ios::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    cin >> n >> X;
    ll W = 0;
    for (int i = 0; i < n; i++) {
        cin >> sc[i] >> le[i] >> re[i];
        W += le[i] * (ll)sc[i];
    }
    vector<int> ind(n);
    iota(ind.begin(), ind.end(), 0);
    auto fun = [&](int i) {
        return le[i] * (ll)sc[i] + (X - sc[i]) * (ll)re[i];
    };
    sort(ind.begin(), ind.end(), [&](int i, int j) {
        return fun(i) > fun(j);
    });
    for (int i = 1; i <= n; i++)
         p[i] = p[i - 1] + fun(ind[i - 1]);
    for (int i = 0; i < n; i++)
        pos[ind[i]] = i;
    ll L = -1, R = X * (ll)n;
    while (R - L > 1) {
        ll S = (L + R) / 2;
        int bg = S / X, rm = S % X;
        ll O = 0;
        for (int i = 0; i < n; i++) {
            int id = ind[i];
            ll w;
            if (rm >= sc[id])
                w = le[id] * (ll)sc[id] + (rm - sc[id]) * (ll)re[id];
            else
                w = le[id] * (ll)rm;
            if (i < bg)
                w += p[bg + 1] - fun(id);
            else
                w += p[bg];
            O = max(O, w);
        }
        if (O >= W)
            R = S;
        else
            L = S;
    }
    cout << R << '\n';
}


Measured memory_bytes: 2944