#include #include #include #include #include #include using namespace std; using namespace atcoder; using ll = long long; using mint = modint998244353; using vi = vector; using vvi = vector; using vvvi = vector; using vll = vector; using vvll = vector; using vvvll = vector; using vmi = vector; using vvmi = vector; using vvvmi = vector; #define all(a) (a).begin(), (a).end() #define rep2(i, m, n) for (int i = (m); i < (n); ++i) #define rep(i, n) rep2(i, 0, n) #define drep2(i, m, n) for (int i = (m)-1; i >= (n); --i) #define drep(i, n) drep2(i, n, 0) int n; vvmi mat(const vvmi &a, const vvmi &b){ vvmi res(n, vmi(n, mint(0))); rep(i, n)rep(j, n){ mint c = mint(0); rep(k, n)c += a[i][k]*b[k][j]; res[i][j] = c; } return res; } int main(){ int m; ll t; cin >> n >> m >> t; vvmi base(n, vmi(n, mint(0))); rep(i, m){ int u, v; cin >> u >> v; base[u][v] = base[v][u] = mint(1); } vvvmi dp; dp.push_back(base); rep(i, 63){ dp.push_back(mat(dp[i], dp[i])); } vvmi e(n, vmi(n, mint(0))); rep(i, n)e[i][i] = mint(1); vvvmi tmp; tmp.push_back(e); bitset<64> bs(t); rep(i, 64){ if(bs[i]){ int len = tmp.size(); tmp.push_back(mat(tmp[len-1], dp[i])); } } int l = tmp.size(); cout << tmp[l-1][0][0].val() << endl; return 0; }