#include using namespace std; // #include // using namespace atcoder; #define rep(i, l, r) for (auto i = (l); i < (r); i++) #define all(a) a.begin(), a.end() #define chmin(dest, src) if ((dest) > (src)) dest = (src) #define chmax(dest, src) if ((dest) < (src)) dest = (src) using ll = long long; using i64 = long long; using i32 = long; using u64 = unsigned long long; using u32 = unsigned long; const ll MOD = 998244353; using Type = ll; using Matrix = vector>; Matrix Mul(const Matrix &a, const Matrix &b) { assert(a[0].size() == b.size()); Matrix c(a.size(), vector (b[0].size(), 0)); for (int i = 0; i < a.size(); i ++) { for (int k = 0; k < b.size(); k ++) { for (int j = 0; j < b[0].size(); j ++) { c[i][j] = (c[i][j] + a[i][k] * b[k][j] % MOD) % MOD; } } } return c; } Matrix Pow(Matrix a, long long n) { assert(a.size() == a[0].size()); Matrix b(a.size(), vector (a.size())); for (int i = 0; i < a.size(); i ++) { b[i][i] = 1; } while (n > 0) { if (n & 1) b = Mul(b, a); a = Mul(a, a); n >>= 1; } return b; } void PrintMatrix(const Matrix &a) { int h = a.size(), w = a[0].size(); for (int i = 0; i < h; i ++) { for (int j = 0; j < w; j ++) { cout << a[i][j] << ' '; } cout << endl; } } int main() { ll N, M, T; cin >> N >> M >> T; vector> mat(N, vector(N, 0)); rep (i, 0, M) { int s, t; cin >> s >> t; mat[s][t] = mat[t][s] = 1; } mat = Pow(move(mat), T); ll ans = mat[0][0] % MOD; if (ans < 0) ans += MOD; cout << ans; return 0; }