#include using namespace std; typedef vector> Matrix; // 行列の乗算(mod) Matrix ModMultiMatrix(const Matrix &a, const Matrix &b, int64_t mod) { Matrix c(a.size(), vector(b.at(0).size())); for(int i = 0; i < a.size(); i++) { for(int k = 0; k < b.size(); k++) { for(int j = 0; j < b.at(0).size(); j++) { c.at(i).at(j) += a.at(i).at(k) * b.at(k).at(j); c.at(i).at(j) %= mod; } } } return c; } // 行列の累乗(mod) Matrix ModPowerMatrix(Matrix a, int64_t n, int64_t mod) { Matrix b(a.size(), vector(a.size())); for(int i = 0; i < a.size(); i++) b.at(i).at(i) = 1; while(n > 0) { if(n & 1) b = ModMultiMatrix(b, a, mod); a = ModMultiMatrix(a, a, mod); n >>= 1; } return b; } int main() { int64_t N, M, T; cin >> N >> M >> T; int64_t mod = 998244353; Matrix P(N, vector(N)); int64_t s, t; for(int64_t i = 0; i < M; i++) { cin >> s >> t; P.at(s).at(t) = 1; P.at(t).at(s) = 1; } P = ModPowerMatrix(P, T, mod); Matrix F(N, vector(1)); F.at(0).at(0) = 1; Matrix ans = ModMultiMatrix(P, F, mod); cout << ans.at(0).at(0) << endl; return 0; }