#line 2 "lib/prelude.hpp"
#ifndef LOCAL
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2")
#endif
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define rep2(i, m, n) for (auto i = (m); i < (n); i++)
#define rep(i, n) rep2(i, 0, n)
#define repr2(i, m, n) for (auto i = (n); i-- > (m);)
#define repr(i, n) repr2(i, 0, n)
#define all(x) begin(x), end(x)
#line 2 "main.cpp"
#include <atcoder/modint>
#include <atcoder/convolution>

using mint = atcoder::modint998244353;

vector<mint> add(vector<mint> a, const vector<mint>& b) {
  a.resize(max(a.size(), b.size()));
  rep(i, b.size()) a[i] += b[i];
  return a;
}

vector<mint> sub(vector<mint> a, const vector<mint>& b) {
  a.resize(max(a.size(), b.size()));
  rep(i, b.size()) a[i] -= b[i];
  return a;
}

vector<mint> mul(vector<mint> a, mint r) {
  rep(i, a.size()) a[i] *= r;
  return a;
}

vector<mint> conv(vector<mint> a, vector<mint> b, int deg = -1) {
  if (~deg) a.resize(min<int>(a.size(), deg)), b.resize(min<int>(b.size(), deg));
  auto f = convolution(a, b);
  if (~deg) f.resize(deg);
  return f;
}

vector<mint> diff(vector<mint> a) {
  rep(i, a.size() - 1) a[i] = a[i + 1] * (i + 1);
  a.pop_back();
  return a;
}

vector<mint> integr(vector<mint> a) {
  a.push_back(0);
  repr(i, a.size() - 1) a[i + 1] = a[i] / (i + 1);
  a[0] = 0;
  return a;
}

vector<mint> inv(vector<mint> f, int deg) {
  assert(f[0] != 0);
  vector<mint> g = {f[0].inv()};
  for (int m = 1; m < deg; m *= 2) {
    auto h = conv(f, g, m * 2);
    fill(h.begin(), h.begin() + m, 0);
    auto hg = conv(h, g, m * 2);
    rep(i, m * 2) hg[i] = -hg[i];
    g.insert(g.end(), hg.begin() + m, hg.end());
  }
  g.resize(deg);
  return g;
}

vector<mint> log(vector<mint> a, int deg) {
  assert(a[0] == 1);
  vector<mint> a2 = a;
  return integr(conv(diff(move(a)), inv(move(a2), deg - 1), deg - 1));
}

vector<mint> exp(vector<mint> h, int deg) {
  assert(h[0] == 0);
  int n = 1 << atcoder::internal::ceil_pow2(deg);
  h.resize(n);
  vector<mint> f = {1}, g = {1};
  vector<mint> q(h.size() - 1);
  rep(i, q.size()) q[i] = h[i+1] * (i+1);
  for (int m = 1; m < n; m *= 2) {
    auto fgg = conv(conv(f, g, m), g, m);
    g.resize(m);
    rep(i, m) g[i] = g[i] * 2 - fgg[i];
    auto fq = conv(f, {q.begin(), q.begin() + m - 1});
    rep(i, fq.size()) fq[i] = -fq[i] + (i < f.size() - 1 ? f[i+1] * (i+1) : 0);
    auto w = conv(g, fq, m * 2 - 1);
    rep(i, m-1) w[i] += q[i];
    w.push_back(0);
    repr(i, m * 2 - 1) w[i+1] = h[i+1] - w[i] / (i+1);
    w[0] = h[0];
    auto fw = conv(f, w, m * 2);
    f.resize(m * 2);
    rep(i, m * 2) f[i] += fw[i];
  }
  return f;
}

struct rational {
  vector<mint> numer, denom;
};

rational sum(const vector<rational>& v) {
  int n = v.size();
  vector<rational> t(n * 2);
  copy(all(v), t.begin() + n);
  repr2(i, 1, n) t[i] = {add(conv(t[i * 2].numer, t[i * 2 + 1].denom),
                             conv(t[i * 2].denom, t[i * 2 + 1].numer)),
                         conv(t[i * 2].denom, t[i * 2 + 1].denom)};
  return t[1];
}

mint fact[100001];

vector<mint> stirling2(int n) {
  vector<mint> a(n + 1), b(n + 1);
  rep(i, n + 1) {
    a[i] = mint(i).pow(n) / fact[i];
    b[i] = mint(-1).pow(i) / fact[i];
  }
  return conv(a, b, n + 1);
}

int n, m, a[100000], b[100000], c[100000];

int main() {
  fact[0] = 1;
  rep(i, size(fact) - 1) fact[i + 1] = fact[i] * (i + 1);

  scanf("%d%d", &n, &m);
  rep(i, n) scanf("%d%d%d", a + i, b + i, c + i);
  int deg = 1 << atcoder::internal::ceil_pow2(m + 1);

  // sum_k k! S(M,k) [x^k] prod (a+bx)^c

  vector<mint> s = stirling2(m);

  // prod (a+bx)^c
  // = prod a^c exp(sum c log(1+rx))
  // = prod a^c exp(sum c int r/(1+rx))
  // = prod a^c exp(int sum c/(1/r+x))

  vector<rational> terms(n);
  rep(i, n) terms[i] = {{c[i]}, {mint(a[i]) / b[i], 1}};
  rational total = sum(terms);
  auto frac = conv(total.numer, inv(total.denom, deg - 1), deg - 1);
  mint coef = 1;
  rep(i, n) coef *= mint(a[i]).pow(c[i]);
  vector<mint> f = mul(exp(integr(frac), deg), coef);

  mint ans = 0;
  rep(k, m + 1) ans += fact[k] * s[k] * f[k];

  printf("%d\n", ans.val());
}