#include #define REP(i,n) for(int i=0; i<(int)(n); ++i) using namespace std; typedef long long LL; const int INF = 1e9; int main(){ int N, M, K; cin >> N >> M >> K; int d[60][60] = {}; REP(i, N) REP(j, N) d[i][j] = (i == j ? 0 : INF); REP(i, M) { int a, b; cin >> a >> b; a--; b--; d[a][b] = d[b][a] = 1; } REP(k, N) REP(i, N) REP(j, N) d[i][j] = min(d[i][j], d[i][k] + d[k][j]); vector seq; int dp[1 << 15][15]; for(int k = N - 1; k > 0; k--) if(d[0][k] <= K) { if(seq.size() == K) break; vector w = seq; w.push_back(k); int L = w.size(); REP(s, 1 << L) REP(i, L) dp[s][i] = INF; REP(i, w.size()) { dp[1 << i][i] = d[0][w[i]]; } REP(s, 1 << L) REP(i, L) { int u = w[i]; REP(j, L) if(!(s >> j & 1)) { int v = w[j]; int ns = s | (1 << j); if(d[u][v] == INF) continue; int nd = dp[s][i] + d[u][v]; dp[ns][j] = min(dp[ns][j], nd); } } int check = K + 1; REP(i, L) check = min(check, dp[(1 << L) - 1][i]); if(check <= K) { seq = w; } else { continue; } } long long ans = 0; for(int k : seq) { ans += (1LL << k) - 1; } cout << ans << endl; return 0; }