#include using namespace std; using ll = long long; const ll modc = 998244353; class mint { ll x; public: mint(ll x=0) : x((x%modc+modc)%modc) {} mint operator-() const { return mint(-x);} mint& operator+=(const mint& a) { if ((x += a.x) >= modc) x -= modc; return *this; } mint& operator-=(const mint& a) { if ((x += modc-a.x) >= modc) x -= modc; return *this; } mint& operator*=(const mint& a) { (x *= a.x) %= modc; return *this; } mint operator+(const mint& a) const { mint res(*this); return res+=a; } mint operator-(const mint& a) const { mint res(*this); return res-=a; } mint operator*(const mint& a) const { mint res(*this); return res*=a; } mint pow(ll t) const { if (!t) return 1; mint a = pow(t>>1); a *= a; if (t&1) a *= *this; return a; } mint inv() const {return pow(modc-2);} mint& operator/=(const mint& a){ return (*this) *= a.inv();} mint operator/(const mint& a) const { mint res(*this); return res/=a; } bool operator == (const mint& a) const{ return x == a.x;} bool operator != (const mint& a) const{ return x != a.x;} friend ostream& operator<<(ostream& os, const mint& m){ os << m.x; return os; } friend istream& operator>>(istream& ip, mint &m) { ll t; ip >> t; m = mint(t); return ip; } ll val(){ return x;} }; int main(){ cin.tie(nullptr); ios_base::sync_with_stdio(false); int N, M, K, a, b, L; cin >> N >> M >> K; K++; vector p(N+1); vector> E(N); for (int i=0; i> a >> b; a--; b--; E[a].push_back(b); E[b].push_back(a); } p[0] = 1; for (int i=1; i<=N; i++) p[i] = p[i-1] * K; //XをK進数表記した時のi桁目 auto f=[&](int X, int i){ X /= p[i]; X %= K; return X; }; L = p[N]-1; vector dp(L+1, vector(N)); for (int i=0; i