#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #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>> 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...); } double dist(double x1, double y1, double x2, double y2) { double ret = sqrt((x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2)); return ret; } int main() { ll N, K; cin >> N >> K; vector x(N); vector y(N); for (ll i = 0; i < N; i++) { cin >> x[i] >> y[i]; } double INF = 100000000000234; vector subans((1 << N), INF); vector> bitdp((1 << N), vector(N, INF)); for (ll i = 0; i < N; i++) { bitdp[1 << i][i] = dist(0, 0, x[i], y[i]); } for (ll i = 1; i < (1 << N); i++) { for (ll j = 0; j < N; j++) { for (ll k = 0; k < N; k++) { if ((i >> k) & 1) { continue; } bitdp[i + (1 << k)][k] = min(bitdp[i + (1 << k)][k], bitdp[i][j] + dist(x[j], y[j], x[k], y[k])); } } } for (ll i = 0; i < (1 << N); i++) { for (ll j = 0; j < N; j++) { subans[i] = min(subans[i], bitdp[i][j] + dist(0, 0, x[j], y[j])); } } vector bitdp2(1 << N, INF); bitdp2[0] = 0; for (ll i = 0; i < (1 << N); i++) { ll x = (1 << N) - 1 - i; for (ll j = x;; j = (j - 1) & x) { if (j == 0) { break; } ll popcnt = 0; for (ll k = 0; k < N; k++) { if ((j >> k) & 1) { popcnt++; } } if (popcnt <= K) { bitdp2[i + j] = min(bitdp2[i + j], bitdp2[i] + subans[j]); } } } cout << setprecision(13) << bitdp2[(1 << N) - 1] << endl; }