#include "bits/stdc++.h" using namespace std; #define FOR(i,j,k) for(int (i)=(j);(i)<(int)(k);++(i)) #define rep(i,j) FOR(i,0,j) #define each(x,y) for(auto &(x):(y)) #define mp make_pair #define mt make_tuple #define all(x) (x).begin(),(x).end() #define debug(x) cout<<#x<<": "<<(x)< pii; typedef vector vi; typedef vector vll; template class SparseTableRMQ { public: SparseTableRMQ() { } SparseTableRMQ(Val *ar, int n) : n(n), data(n) { for (int i = 0; i < n; ++i) data[i] = ar[i]; table = buildRMQ(); } int queryPos(int l, int r) { int k = lgInt(r - l - 1); int lid = table[l + n*k], rid = table[r + n*k - (1 << k)]; return (cmp(data[lid], data[rid])) ? lid : rid; } Val queryValue(int l, int r) { return data[queryPos(l, r)]; } private: int n; vector data; vector table; Cmp cmp; int lgInt(int v) { static const unsigned b[] = { 0x2, 0xC, 0xF0, 0xFF00, 0xFFFF0000 }; static const unsigned S[] = { 1, 2, 4, 8, 16 }; int res = 0; for (int i = 4; i >= 0; i--) { if (v & b[i]) { v >>= S[i]; res |= S[i]; } } return res; } vector buildRMQ() { int logn = 1; for (int k = 1; k < n; k *= 2) ++logn; vector b(n*logn); for (int i = 0; i < n; ++i)b[i] = i; int cur = 0; for (int k = 1; k < n; k *= 2) { copy(b.begin() + cur, b.begin() + cur + n, b.begin() + cur + n); cur += n; for (int i = 0; i < n - k; ++i) { int idl = b[cur + i], idr = b[cur + i + k]; if (cmp(data[idl], data[idr])) { b[cur + i] = idl; } else { b[cur + i] = idr; } } } return b; } }; int N, K, color[500005]; double dat[500005*2]; int check(double x) { rep(i, N) { dat[i] = dat[i + N] = color[i] - x; } rep(i, 2 * N)dat[i + 1] += dat[i]; SparseTableRMQ > rmq(dat, N * 2); double pre = 0; rep(i, N) { double ma = rmq.queryValue(i + K - 1, i + N); if (ma - pre >= 0)return 1; pre = dat[i]; } return 0; } int main(){ ios::sync_with_stdio(false); cin.tie(0); string S; cin >> N >> K >> S; rep(i, N)color[i] = S[i] - '0'; double l = 0, r = 1, x; rep(ITER, 20) { x = (l + r)*0.5; (check(x) ? l : r) = x; } cout << fixed << setprecision(20); cout << r << endl; }