#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #if __has_include() #include using namespace atcoder; #endif #define GET_MACRO(_1, _2, _3, NAME, ...) NAME #define _rep(i, n) _rep2(i, 0, n) #define _rep2(i, a, b) for(int i = (int)(a); i < (int)(b); i++) #define rep(...) GET_MACRO(__VA_ARGS__, _rep2, _rep)(__VA_ARGS__) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() using i64 = long long; template bool chmin(T& a, const U& b) { return (b < a) ? (a = b, true) : false; } template bool chmax(T& a, const U& b) { return (b > a) ? (a = b, true) : false; } templateistream& operator>>(istream&i,vector&v){rep(j,v.size())i>>v[j];return i;} templatestring join(vector&v){stringstream s;rep(i,v.size())s<<' '<ostream& operator<<(ostream&o,vector&v){if(v.size())o<string join(vector>&vv){string s="\n";rep(i,vv.size())s+=join(vv[i])+"\n";return s;} templateostream& operator<<(ostream&o,vector>&vv){if(vv.size())o< using pq = priority_queue, greater>; // 行列積 template vector> operator*(vector>& a, vector>& b) { vector res(a.size(), vector(b[0].size(), 0)); rep(i, res.size()) rep(j, res[0].size()) rep(k, a[0].size()) { res[i][j] += a[i][k] * b[k][j]; } return res; } // 行列累乗 template vector> mat_pow(vector> a, long long n) { vector res(a.size(), vector(a.size())); rep(i, a.size()) res[i][i] = 1; while(n) { if(n & 1) res = res * a; a = a * a; n >>= 1; } return res; } using mint = modint998244353; int main() { int n, m; i64 T; cin >> n >> m >> T; vector matrix(n, vector(n)); rep(_, m) { int s, t; cin >> s >> t; matrix[s][t] = matrix[t][s] = 1; } cout << mat_pow(matrix, T)[0][0].val() << endl; return 0; }