#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n)-1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> // using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } vector n_adic(ll i, ll n, ll N) { ll x = 1; rep(j, N) { x *= n; } vector vec(N); rep(j, N) { x /= n; vec[j] = i / x; i -= x * vec[j]; } return vec; } int main() { ll N, M, K; cin >> N >> M >> K; vector u(M); vector v(M); for (ll i = 0; i < M; i++) { cin >> u[i] >> v[i]; u[i]--; v[i]--; } vector> graph(N, vector(N, 0)); for (ll i = 0; i < M; i++) { graph[u[i]][v[i]] = 1; graph[v[i]][u[i]] = 1; } ll now = 1; for (ll i = 0; i < N; i++) { now = (now * (K + 1)); } vector pow_k(N); pow_k[0] = 1; for (ll i = 0; i < N - 1; i++) { pow_k[i + 1] = pow_k[i] * (K + 1); } vector> dp(now, vector(N)); for (ll i = 0; i < N; i++) { dp[pow_k[i]][i] = 1; } for (ll i = 1; i < now; i++) { vector adic = n_adic(i, K + 1, N); reverse(all(adic)); for (ll j = 0; j < N; j++) { for (ll k = 0; k < N; k++) { if (graph[j][k]) { if (adic[k] < K) { dp[i + pow_k[k]][k] = (dp[i + pow_k[k]][k] + dp[i][j]) % mod2; } } } } } // debug(dp); ll ans = 0; for (ll i = 0; i < N; i++) { ans = (ans + dp[now - 1][i]) % mod2; } cout << ans << endl; }