// #include // using namespace atcoder; #include using namespace std; #define rep(i, n) for (int i = 0; i < (n); i++) #define all(x) (x).begin(), (x).end() #define popcnt(x) __builtin_popcount(x) using ll = long long; using pii = pair; using pll = pair; using vi = vector; using vll = vector; using vvi = vector>; using vvll = vector>; const int inf = 1e9; const ll lim = 1e18; int dx[] = {1, 1, 0, -1, -1, -1, 0, 1}; int dy[] = {0, 1, 1, 1, 0, -1, -1, -1}; const int mod = 998244353; struct mint { ll x; // typedef long long ll; mint(ll x = 0) : x((x % mod + mod) % mod) {} mint operator-() const { return mint(-x); } mint& operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint& operator-=(const mint a) { if ((x += mod - a.x) >= mod) x -= mod; return *this; } mint& operator*=(const mint a) { (x *= a.x) %= mod; return *this; } mint operator+(const mint a) const { return mint(*this) += a; } mint operator-(const mint a) const { return mint(*this) -= a; } mint operator*(const mint a) const { return mint(*this) *= a; } mint pow(ll t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } // for prime mod mint inv() const { return pow(mod - 2); } mint& operator/=(const mint a) { return *this *= a.inv(); } mint operator/(const mint a) const { return mint(*this) /= a; } }; istream& operator>>(istream& is, mint& a) { return is >> a.x; } ostream& operator<<(ostream& os, const mint& a) { return os << a.x; } using vvm = vector>; vvm dot(vvm a, vvm b) { int h = a.size(); int w = a[0].size(); vvm res(h, vector(w)); rep(i, h) rep(j, w) { mint s = 0; rep(k, w) s += a[i][k] * b[k][j]; res[i][j] = s; } return res; } int main() { cin.tie(0); ios::sync_with_stdio(false); int m, n; ll t; cin >> n >> m >> t; vector> base(n, vector(n, mint(0))); vector> mat(n, vector(n, mint(0))); rep(i, n) mat[i][i] = 1; rep(i, m) { int u, v; cin >> u >> v; base[u][v] = 1; base[v][u] = 1; } while (t) { if (t & 1) mat = dot(mat, base); base = dot(base, base); t >>= 1; } cout << mat[0][0] << endl; return 0; }