#include using namespace std; typedef long long signed int LL; typedef long long unsigned int LU; #define incID(i, l, r) for(int i = (l) ; i < (r); i++) #define incII(i, l, r) for(int i = (l) ; i <= (r); i++) #define decID(i, l, r) for(int i = (r) - 1; i >= (l); i--) #define decII(i, l, r) for(int i = (r) ; i >= (l); i--) #define inc(i, n) incID(i, 0, n) #define inc1(i, n) incII(i, 1, n) #define dec(i, n) decID(i, 0, n) #define dec1(i, n) decII(i, 1, n) #define inII(v, l, r) ((l) <= (v) && (v) <= (r)) #define inID(v, l, r) ((l) <= (v) && (v) < (r)) #define PB push_back #define EB emplace_back #define MP make_pair #define FI first #define SE second #define PQ priority_queue #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() #define FOR(it, v) for(auto it = v.begin(); it != v.end(); ++it) #define RFOR(it, v) for(auto it = v.rbegin(); it != v.rend(); ++it) template bool setmin(T & a, T b) { if(b < a) { a = b; return true; } else { return false; } } template bool setmax(T & a, T b) { if(b > a) { a = b; return true; } else { return false; } } template bool setmineq(T & a, T b) { if(b <= a) { a = b; return true; } else { return false; } } template bool setmaxeq(T & a, T b) { if(b >= a) { a = b; return true; } else { return false; } } template T gcd(T a, T b) { return (b == 0 ? a : gcd(b, a % b)); } template T lcm(T a, T b) { return a / gcd(a, b) * b; } // ---- ---- int n, k; string a; double d[1000000], s[1000001]; bool f(double v) { inc(i, n) { d[n + i] = d[i] = 1.0 * (a[i] - '0') - v; } s[0] = 0; inc(i, n * 2) { s[i + 1] = s[i] + d[i]; } map mp; incID(i, k, 2 * n) { mp[s[i - k]]++; if((mp.begin() -> FI) <= s[i]) { return true; } if(n < i) { double ss = s[i - n]; mp[ss]--; if(mp[ss] == 0) { mp.erase(ss); } } } return false; } int main() { cin >> n >> k >> a; a += a; double L = 0.0, H = 1.0; inc(i, 20) { // test double M = (L + H) / 2.0; (f(M) ? L : H) = M; } printf("%.8f\n", H); return 0; }