#include using namespace std; typedef signed long long ll; #undef _P #define _P(...) (void)printf(__VA_ARGS__) #define FOR(x,to) for(x=0;x<(to);x++) #define FORR(x,arr) for(auto& x:arr) #define ITR(x,c) for(__typeof(c.begin()) x=c.begin();x!=c.end();x++) #define ALL(a) (a.begin()),(a.end()) #define ZERO(a) memset(a,0,sizeof(a)) #define MINUS(a) memset(a,0xff,sizeof(a)) //------------------------------------------------------- int N,K; string S; double B[1010101]; int ok(double v) { int i; FOR(i,N) B[i+1]=B[i]+S[i]-v; deque> D; for(i=1;i<=N/2;i++) { while(D.size() && D.back().first=B[i]) return 1; while(D.size() && D.back().first>N>>K>>S; int NB=0; N+=N; S+=S; FOR(i,N) { S[i]-='0'; } double L=0,R=1; FOR(i,60) { double M=(L+R)/2; if(ok(M)) L=M; else R=M; } _P("%.12lf\n",(L+R)/2); } int main(int argc,char** argv){ string s;int i; if(argc==1) ios::sync_with_stdio(false), cin.tie(0); FOR(i,argc-1) s+=argv[i+1],s+='\n'; FOR(i,s.size()) ungetc(s[s.size()-1-i],stdin); cout.tie(0); solve(); return 0; }