#include using namespace std; using ll = long long; #include #include using mint = atcoder::modint998244353; #define conv(a,b) atcoder::convolution(a,b) ostream& operator<<(ostream& os, const mint& m){ os << m.val(); return os; } template < typename mint > struct FPS:vector{ FPS(int n){ this->resize(n); } FPS(vectora){ *this = a; } FPS &operator+=(const FPS&r){ if(r.size()>this->size()) this->resize(r.size()); for(int i = 0;i<(int)r.size();i++) (*this)[i] += r[i]; return *this; } FPS &operator+=(const mint&r){ if(this->empty()) this->resize(1); (*this)[0] += r; return *this; } FPS &operator*=(const FPS&r){ vector nxt = conv(*this,r); this->resize(nxt.size()); for(int i = 0;isize();i++) (*this)[i] *= r; return *this; } FPS operator+(const FPS&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;} void print(){ for(int i = 0;i<(int)this->size();i++){ if(i) cout<<" "; cout<<(*this)[i]; } cout< FPS pow(FPS&a,ll k,int n){ FPS ans(n+1); ans[0] += 1; FPS tmp = a; tmp.resize(n+1); while(k){ if(k&1){ ans *= tmp; ans.resize(n+1); } tmp *= tmp; tmp.resize(n+1); k>>=1; } return ans; } int main(){ int n,m,x; cin>>n>>m>>x; vector c(n); for(int i = 0;i>c[i]; vector a(m),b(m),y(m); for(int i = 0;i>a[i]>>b[i]>>y[i]; vector> f(5,FPS(n+1)); for(int i = 0;i> g(5,FPS(n+1)); for(int i = 0;i ans(n+1); for(int i = 0;i<=n;i++){ ans[i] = mint(i*x); } for(int i = 0;i<5;i++){ FPS now = g[i] * f[i]; for(int j = 0;j<=n;j++){ ans[j] += now[j+n]; } } int aa = 0; for(int i = 0;i<=n;i++) aa = max(aa,ans[i].val()); cout<