#include using namespace std; #define CPP_STR(x) CPP_STR_I(x) #define CPP_CAT(x, y) CPP_CAT_I(x, y) #define CPP_STR_I(args...) #args #define CPP_CAT_I(x, y) x##y #define ASSERT(expr...) assert((expr)) using i8 = int8_t; using u8 = uint8_t; using i16 = int16_t; using u16 = uint16_t; using i32 = int32_t; using u32 = uint32_t; using i64 = int64_t; using u64 = uint64_t; using f32 = float; using f64 = double; // }}} constexpr i64 INF = 1'010'000'000'000'000'017LL; constexpr i64 MOD = 998244353LL; constexpr f64 EPS = 1e-12; constexpr f64 PI = 3.14159265358979323846; #define M5 100007 #define M9 1000000000 #define F first #define S second // util {{{ #define FOR(i, start, end) for (i64 i = (start), CPP_CAT(i, xxxx_end) = (end); i < CPP_CAT(i, xxxx_end); ++i) #define REP(i, n) FOR(i, 0, n) #define all(x) (x).begin(), (x).end() #define ll long long int #define VI vector #define VVI vector #define ISD true #define debug(x) \ if (ISD) \ cout << #x << ": " << x << endl template > bool chmax(T &xmax, const U &x, Comp comp = {}) { if (comp(xmax, x)) { xmax = x; return true; } return false; } template > bool chmin(T &xmin, const U &x, Comp comp = {}) { if (comp(x, xmin)) { xmin = x; return true; } return false; } int main() { ll N, K; cin >> N >> K; vector X(N + 1), Y(N + 1); REP(i, N) { cin >> X[i + 1] >> Y[i + 1]; } auto dis = [&](ll x1, ll y1, ll x2, ll y2) { return sqrt((x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2)); }; auto calc = [&](int i, int j, bool is0) { if (is0) { return dis(0, 0, X[i], Y[i]) + dis(0, 0, X[j], Y[j]); } else { return dis(X[i], Y[i], X[j], Y[j]); } }; double IN = 100000000000000; vector>> dp((1 << N), vector>(K + 1, vector(N + 1, IN))); dp[0][K][0] = 0; REP(bit, (1 << N)) { REP(k, K + 1) { REP(i, N + 1) { if (dp[bit][k][i] == IN) { continue; } if (k > 0) { REP(j, N) { chmin(dp[bit | (1 << j)][k - 1][j + 1], dp[bit][k][i] + calc(i, j + 1, 0)); } } REP(j, N) { chmin(dp[bit | (1 << j)][K - 1][j + 1], dp[bit][k][i] + calc(i, j + 1, 1)); } } } } double ans = IN; REP(k, K + 1) { REP(i, N + 1) { chmin(ans, dp[((1 << N) - 1)][k][i] + calc(0, i, 0)); } } cout << fixed << setprecision(10) << ans << endl; }