#line 2 "library/template/template.hpp"
#pragma GCC target("avx")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include<bits/stdc++.h>
#define overload4(a,b,c,d,e,...) e
#define overload3(a,b,c,d,...) d
#define rep1(a) for(ll i=0;i<(ll)(a);i++)
#define rep2(i,a) for(ll i=0;i<(ll)(a);i++)
#define rep3(i,a,b) for(ll i=(ll)(a);i<(ll)(b);i++)
#define rep4(i,a,b,c) for(ll i=(ll)(a);i<(ll)(b);i+=(ll)(c))
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)
#define rrep1(a) for(ll i=(ll)(a)-1;i>=0;i--)
#define rrep2(i,a) for(ll i=(ll)(a)-1;i>=0;i--)
#define rrep3(i,a,b) for(ll i=(ll)(b)-1;i>=(ll)(a);i--)
#define rrep(...) overload3(__VA_ARGS__,rrep3,rrep2,rrep1)(__VA_ARGS__)
#define all1(i) begin(i),end(i)
#define all2(i,a) begin(i),begin(i)+a
#define all3(i,a,b) begin(i)+a,begin(i)+b
#define all(...) overload3(__VA_ARGS__,all3,all2,all1)(__VA_ARGS__)
#define rall(n) (n).rbegin(),(n).rend()
#define INT(...) int __VA_ARGS__;scan(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__;scan(__VA_ARGS__)
#define STR(...) string __VA_ARGS__;scan(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__;scan(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__;scan(__VA_ARGS__)
#define LD(...) ld __VA_ARGS__;scan(__VA_ARGS__)
#define pb push_back
#define eb emplace_back
#define END(...) {print(__VA_ARGS__);return;}
using namespace std;
using ll=long long;
using ull=unsigned long long;
using ld=long double;
using vl=vector<ll>;
using vi=vector<int>;
using vs=vector<string>;
using vc=vector<char>;
using vvl=vector<vl>;
using pi=pair<int,int>;
using pl=pair<ll,ll>;
using vvc=vector<vc>;
using vd=vector<double>;
using vp=vector<pl>;
using vb=vector<bool>;
const int dx[8]={1,0,-1,0,1,-1,-1,1};
const int dy[8]={0,1,0,-1,1,1,-1,-1};
const ll MOD=1000000007;
const ll mod=998244353;
const ld EPS=1e-8;
const ld PI=3.1415926535897932384626;
template<typename T,typename U>
ostream &operator<<(ostream&os,const pair<T,U>&p){os<<p.first<<" "<<p.second;return os;}
template<typename T,typename U>
istream &operator>>(istream&is,pair<T,U>&p){is>>p.first>>p.second;return is;}
template<typename T>
ostream &operator<<(ostream&os,const vector<T>&v){for(int i=0;i<(int)v.size();i++){os<<v[i]<<(i+1!=v.size()?" ":"");}return os;}
template<typename T>
istream &operator>>(istream&is,vector<T>&v){for(T &in:v){is>>in;}return is;}
void scan(){}
template<class Head,class... Tail>
void scan(Head&head,Tail&... tail){cin>>head;scan(tail...);}
template<class T>
void print(const T &t){cout<<t<<'\n';}
template<class Head, class... Tail>
void print(const Head &head, const Tail &... tail){cout<<head<<' ';print(tail...);}
template<class... T>
void fin(const T &... a){print(a...);exit(0);}
template<typename T,typename U>
inline bool chmax(T&a,U b){return a<b&&(a=b,true);}
template<typename T,typename U>
inline bool chmin(T&a,U b){return a>b&&(a=b,true);}
template<typename T>
class infinity{
  public:
  static const T MAX=numeric_limits<T>::max();
  static const T MIN=numeric_limits<T>::min();
  static const T value=numeric_limits<T>::max()/2;
  static const T mvalue=numeric_limits<T>::min()/2;
};
#if __cplusplus <= 201402L
template<class T>const T infinity<T>::value;
template<class T>const T infinity<T>::mvalue;
template<class T>const T infinity<T>::max;
template<class T>const T infinity<T>::min;
#endif
template<typename T>const T inf=infinity<T>::value;
inline int popcnt(ull x){
#if __cplusplus>=202002L
return popcount(x);
#endif
x=(x&0x5555555555555555)+((x>>1)&0x5555555555555555);x=(x&0x3333333333333333)+((x>>2)&0x3333333333333333);x=(x&0x0f0f0f0f0f0f0f0f)+((x>>4)&0x0f0f0f0f0f0f0f0f);x=(x&0x00ff00ff00ff00ff)+((x>>8)&0x00ff00ff00ff00ff);x=(x&0x0000ffff0000ffff)+((x>>16)&0x0000ffff0000ffff);return (x&0x00000000ffffffff)+((x>>32)&0x00000000ffffffff);
}
void dump(const char&t){cerr<<t;}
void dump(const string&t){cerr<<t;}
void dump(const bool&t){cerr<<(t?"true":"false");}
template<typename T>
void dump(const T&t,enable_if_t<is_integral<T>::value>* =nullptr){string tmp;if(t==infinity<T>::value||t==infinity<T>::MAX)tmp="inf";if(t==infinity<T>::mvalue||t==infinity<T>::MIN)tmp="-inf";if(tmp.empty())tmp=to_string(t);cerr<<tmp;}
template <typename T>
void dump(const T&t,enable_if_t<!is_void<typename T::iterator>::value>* =nullptr){cerr<<"{";for(auto it=t.begin();it!=t.end();){dump(*it);cerr<<(++it==t.end()?"":",");}cerr<<"}";}
template<typename T,typename U>
void dump(const pair<T,U>&t){cerr<<"(";dump(t.first);cerr<<",";dump(t.second);cerr<<")";}
void trace(){cerr<<endl;}
template<typename Head,typename... Tail>
void trace(Head&&head,Tail&&... tail){dump(head);if(sizeof...(tail))cerr<<",";trace(forward<Tail>(tail)...);}
#ifdef ONLINE_JUDGE
#define debug(...)
#else
#define debug(...) cerr<<#__VA_ARGS__<<"=";trace(__VA_ARGS__);
#endif
struct IOSetup{IOSetup(){cin.tie(nullptr);ios::sync_with_stdio(false);cout.tie(0);cout<<fixed<<setprecision(12);cerr<<fixed<<setprecision(12);}};
/**
 * @brief Template(テンプレート)
*/
#line 1 "library/Math/fps.hpp"
/**
 * @brief Formal Power Series(形式的冪級数)
*/
#line 1 "library/Math/ntt.hpp"
/**
 * @brief Number Theoretic Transform(数論変換)
*/
#line 1 "library/Math/modint.hpp"
/**
 * @brief modint
*/
template<long long m>
struct modint{
  long long x;
  modint():x(0){}
  modint(long long y){
    if(y<0){
      y%=m;
      if(y==0)x=y;
      else x=m+y;
    }
    else if(y<m)x=y;
    else x=y%m;
  }
  modint inv()const{
    long long a=x,b=m,u=1,v=0,t;
    while(b){
      t=a/b;
      swap(a-=t*b,b);
      swap(u-=t*v,v);
    }
    return modint(u);
  }
  modint &operator+=(const modint&p){if((x+=p.x)>=m)x-=m;return *this;}
  modint &operator-=(const modint&p){if((x+=m-p.x)>=m)x-=m;return *this;}
  modint &operator*=(const modint&p){x=x*p.x;if(x>=m)x%=m;return *this;}
  modint &operator/=(const modint&p){*this*=p.inv();return *this;}
  modint operator-()const{return modint(-x); }
  modint operator+(const modint&p)const{return modint(*this)+=p; }
  modint operator-(const modint&p)const{return modint(*this)-=p; }
  modint operator*(const modint&p)const{return modint(*this)*=p; }
  modint operator/(const modint&p)const{return modint(*this)/=p; }
  bool operator==(const modint&p)const{return x==p.x;}
  bool operator!=(const modint&p)const{return x!=p.x;}
  modint pow(long long n)const{
    modint ret(1),mul(x);
    while(n){
      if(n&1)ret*=mul;
      mul*=mul;
      n>>=1;
    }
    return ret;
  }
  friend ostream &operator<<(ostream &os,const modint&p) {
    return os<<p.x;
  }
  friend istream &operator>>(istream &is, modint &a) {
    long long t;
    is>>t;
    a=modint<m>(t);
    return (is);
  }
  static long long get_mod(){return m;}
};
#line 5 "library/Math/ntt.hpp"
template<long long m>
struct NTT{
  using mint=modint<m>;
  static modint<m> g;
  static int limit;
  static vector<modint<m>>root,inv_root;
  static mint primitive_root(const long long&mo){
    if(mo==167772161)return mint(3);
    if(mo==469762049)return mint(3);
    if(mo==754974721)return mint(11);
    if(mo==998244353)return mint(3);
    if(mo==1224736769)return mint(3);
    return mint(0);
  }
  static void init(){
    if(root.empty()){
      g=primitive_root(m);
      long long now=m-1;
      while(!(now&1))now>>=1,limit++;
      root.resize(limit+1,1),inv_root.resize(limit+1,1);
      root[limit]=g.pow(now);
      inv_root[limit]/=root[limit];
      for(int i=limit-1;i>=0;i--){
        root[i]=root[i+1]*root[i+1];
        inv_root[i]=inv_root[i+1]*inv_root[i+1];
      }
    }
  }
  NTT(){};
  static void dft(vector<mint>&a,int inv){
    init();
    const int sz=a.size();
    if(sz==1)return;
    const int mask=sz-1;
    vector<mint>b(sz);
    for(int i=sz>>1;i>=1;i>>=1){
      int e=__builtin_ffsll(sz/i)-1;
      mint w=1,z=(inv==1?root[e]:inv_root[e]);
      for(int j=0;j<sz;j+=i){
        for(int k=0;k<i;k++)b[j+k]=a[((j<<1)&mask)+k]+w*a[(((j<<1)+i)&mask)+k];
        w*=z;
      }
      swap(a,b);
    }
  }
  static vector<mint>multiply(vector<mint>a,vector<mint>b){
    int sz=1;
    const int mxsiz=a.size()+b.size()-1;
    while(sz<mxsiz)sz<<=1;
    a.resize(sz),b.resize(sz);
    dft(a,1),dft(b,1);
    for(int i=0;i<sz;i++)a[i]*=b[i];
    dft(a,-1);
    mint iz=mint(sz).inv();
    for(int i=0;i<mxsiz;i++)a[i]*=iz;
    a.resize(mxsiz);
    return a;
  }
  template<typename T,std::enable_if_t<is_integral<T>::value>* = nullptr>
  static vector<T>multiply(const vector<T>&a,const vector<T>&b){
    using mint=modint<m>;
    vector<mint>a2(a.size()),b2(b.size());
    for(int i=0;i<a.size();i++)a2[i]=a[i];
    for(int i=0;i<b.size();i++)b2[i]=b[i];
    auto c2=multiply(a2,b2);
    vector<T>c(c2.size());
    for(int i=0;i<c.size();i++)c[i]=c2[i].x;
    return c;
  }
};
template<long long m>
int NTT<m>::limit=0;
template<long long m>
vector<modint<m>>NTT<m>::root=vector<modint<m>>();
template<long long m>
vector<modint<m>>NTT<m>::inv_root=vector<modint<m>>();
template<long long m>
modint<m>NTT<m>::g=modint<m>();
#line 5 "library/Math/fps.hpp"
template<long long Mod>
struct FPS:vector<modint<Mod>>{
  using mint=modint<Mod>;
  using vector<mint>::vector;
  using vector<mint>::operator=;
  void shrink(){while(!(*this).empty()&&(*this).back()==mint(0))(*this).pop_back();}
  FPS inv(int d=-1)const{
    NTT<Mod>ntt;
    const int n=(*this).size();
    if(d==-1)d=n;
    FPS res{(*this)[0].inv()};
    for(int m=1;m<d;m<<=1){
      FPS f((*this).begin(),(*this).begin()+min(n,2*m));
      FPS g(res);
      f.resize(2*m),g.resize(2*m);
      ntt.dft(f,1),ntt.dft(g,1);
      for(int i=0;i<2*m;i++)f[i]*=g[i];
      ntt.dft(f,-1);
      f.erase(f.begin(),f.begin()+m);
      f.resize(2*m);ntt.dft(f,1);
      for(int i=0;i<2*m;i++)f[i]*=g[i];
      ntt.dft(f,-1);
      mint iz=mint(2*m).inv();iz*=-iz;
      for(int i=0;i<m;i++)f[i]*=iz;
      res.insert(res.end(),f.begin(),f.begin()+m);
    }
    res.resize(d);
    return res;
  }
  FPS operator+(const mint&r)const{return FPS(*this)+=r;}
  FPS operator-(const mint&r)const{return FPS(*this)-=r;}
  FPS operator*(const mint&r)const{return FPS(*this)*=r;}
  FPS operator/(const mint&r)const{return FPS(*this)/=r;}
  FPS operator+(const FPS&r)const{return FPS(*this)+=r;}
  FPS operator-(const FPS&r)const{return FPS(*this)-=r;}
  FPS operator<<(const int&d)const{return FPS(*this)<<=d;}
  FPS operator>>(const int&d)const{return FPS(*this)>>=d;}
  FPS operator*(const FPS&r)const{return FPS(*this)*=r;}
  FPS operator/(const FPS&r)const{return FPS(*this)/=r;}
  FPS operator%(const FPS&r)const{return FPS(*this)%=r;}
  FPS operator-()const{
    FPS ret(*this);
    for(auto &i:ret)i=-i;
    return ret;
  }
  FPS &operator+=(const mint&r){
    if((*this).empty())(*this).resize(1);
    (*this)[0]+=r;
    return *this;
  }
  FPS &operator-=(const mint&r){
    if((*this).empty())(*this).resize(1);
    (*this)[0]-=r;
    return *this;
  }
  FPS &operator*=(const mint&r){
    for(auto &i:*this)i*=r;
    return *this;
  }
  FPS &operator/=(const mint&r){
    (*this)*=r.inv();
    return *this;
  }
  FPS &operator+=(const FPS&r){
    const int n=(*this).size(),m=r.size();
    (*this).resize(max(n,m));
    for(int i=0;i<m;i++)(*this)[i]+=r[i];
    return *this;
  }
  FPS &operator-=(const FPS&r){
    const int n=(*this).size(),m=r.size();
    (*this).resize(max(n,m));
    for(int i=0;i<m;i++)(*this)[i]-=r[i];
    return *this;
  }
  FPS &operator<<=(const long long&d){
    (*this).insert((*this).begin(),d,mint(0));
    return *this;
  }
  FPS &operator>>=(const long long&d){
    (*this).erase((*this).begin(),(*this).begin()+d);
    return *this;
  }
  FPS &operator*=(const FPS&r){
    (*this)=NTT<Mod>::multiply((*this),r);
    return *this;
  }
  FPS &operator/=(FPS r){
    const int n=(*this).size(),m=r.size();
    if(n<m){
      (*this).clear();
      return *this;
    }
    const int sz=n-m+1;
    reverse((*this).begin(),(*this).end());
    reverse(r.begin(),r.end());
    (*this).resize(sz);
    (*this)*=r.inv(sz);
    (*this).resize(sz);
    reverse((*this).begin(),(*this).end());
    return (*this);
  }
  FPS &operator%=(const FPS&r){
    const int n=(*this).size(),m=r.size();
    if(n<m)return (*this);
    (*this)-=(*this)/r*r;
    (*this).resize(m-1);
    shrink();
    return (*this);
  }
  pair<FPS,FPS>div_mod(const FPS&r){
    FPS p=*this/r,q=*this-p*r;
    q.shrink();
    return {p,q};
  }
  mint operator()(const mint&x)const{
    mint ret(0),w(1);
    for(auto &e:*this){
      ret+=e*w;
      w*=x;
    }
    return ret;
  }
  FPS diff()const{
    const int n=(*this).size();
    FPS ret(max(0,n-1));
    for(int i=1;i<n;i++)ret[i-1]=(*this)[i]*mint(i);
    return ret;
  }
  FPS integral()const{
    const int n=(*this).size();
    vector<mint>inv(n+1);
    inv[1]=mint(1);
    for(int i=2;i<=n;i++)inv[i]=-inv[Mod%i]*mint(Mod/i);
    FPS ret(n+1);
    for(int i=0;i<n;i++)ret[i+1]=(*this)[i]*inv[i+1];
    return ret;
  }
  FPS log(int d=-1)const{
    const int n=(*this).size();
    if(d==-1)d=n;
    FPS res=diff()*inv(d);
    res.resize(d-1);
    return res.integral();
  }
  FPS exp(int d=-1)const{
    const int n=(*this).size();
    if(d==-1)d=n;
    FPS f={mint(1)+(*this)[0],(*this)[1]},res{1,1<n?(*this)[1]:0};
    for(int m=2;m<d;m<<=1){
      f.insert(f.end(),(*this).begin()+min(m,n),(*this).begin()+min(n,2*m));
      if((int)f.size()<2*m)f.resize(2*m);
      res=res*(f-res.log(2*m));
      res.resize(2*m);
    }
    res.resize(d);
    return res;
  }
  FPS pow(long long k,int d=-1)const{
    const int n=(*this).size();
    if(d==-1)d=n;
    for(int i=0;i<n;i++){
      if((*this)[i]!=mint()){
        mint rev=(*this)[i].inv();
        if(i*k>d)return FPS(d,mint(0));
        FPS ret=(((*this*rev)>>i).log(d)*k).exp(d)*((*this)[i].pow(k));
        ret=(ret<<(i*k));
        ret.resize(d);
        return ret;
      }
    }
    return (*this);
  }
};
#line 3 "code.cpp"
using mint=modint<mod>;
template<long long Mod>
FPS<Mod>stirling_number2(int n){
  FPS<Mod>f(n+1),g(n+1);modint<Mod>fact=1;
  for(int i=0;i<=n;i++){
    f[i]=modint<Mod>(i).pow(n)/fact;
    g[i]=modint<Mod>(-1).pow(i)/fact;
    fact*=i+1;
  }
  f*=g;
  f.resize(n+1);
  return f;
}
FPS<mod>inv_sum(vector<FPS<mod>>&a,int&m){
  int sz=1;
  while(sz<(int)a.size())sz<<=1;
  vector<FPS<mod>>num(2*sz-1),den(2*sz-1,{1});
  for(int i=0;i<(int)a.size();i++)num[i+sz-1]={1},den[i+sz-1]=a[i];
  for(int i=sz-2;i>=0;i--){
    den[i]=den[2*i+1]*den[2*i+2];
    num[i]=num[2*i+1]*den[2*i+2]+num[2*i+2]*den[2*i+1];
  }
  num[0]*=den[0].inv(m+1);
  num[0].resize(m+1);
  return num[0];
}
int main(){
  IOSetup();
  INT(n,m);
  mint prod=1;
  vector<FPS<mod>>f(n);
  rep(i,n){
    INT(a,b,c);
    prod*=mint(a).pow(c);
    mint u=mint(a)/b,v=mint(c).inv();
    f[i]={u*v,v};
  }
  auto g=inv_sum(f,m);
  g=g.integral();
  g=g.exp();
  auto S=stirling_number2<mod>(m);
  mint ans=0,fac=1;
  for(int i=0;i<=m;i++){
    ans+=S[i]*fac*g[i];
    fac*=i+1;
  }
  ans*=prod;
  print(ans);
}