推公式
#include <cstdio> #include <cmath> #include <iomanip> #include <iostream> #include <algorithm> using namespace std; typedef long long ll; const int N = 50000+3; ll a[N], b[N]; int main() { int T, n, m, len; ll x, sum, ans; scanf("%d", &T); while(T-- > 0) { scanf("%d%d", &n, &m); len = n - m; a[0] = b[0] = 0; for (int i = 1; i <= n; ++i) scanf("%I64d", &a[i]); sort(a+1, a+1+n); for (int i = 1; i <= n; ++i) { b[i] = b[i-1]+a[i]*a[i]; a[i] = a[i-1]+a[i]; } if (len == 0) { puts("0.0000000000000"); } else { ans = 7 * (ll)(1e18); for (int i = 1; i+len-1 <= n; ++i) { x = a[i+len-1] - a[i-1]; sum = len * (b[i+len-1] - b[i-1]) - x * x; if (sum < ans) ans = sum; } long double out = (long double)ans / len; cout << fixed << setprecision(13) << out << endl; } } return 0; }