#include using namespace std; typedef signed long long ll; #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 FORR2(x,y,arr) for(auto& [x,y]:arr) #define ALL(a) (a.begin()),(a.end()) #define ZERO(a) memset(a,0,sizeof(a)) #define MINUS(a) memset(a,0xff,sizeof(a)) template bool chmax(T &a, const T &b) { if(a bool chmin(T &a, const T &b) { if(a>b){a=b;return 1;}return 0;} //------------------------------------------------------- int N; ll L; ll T[505050]; double S[505050]; double C[505050]; double SS; double SC; double DS; double DC; void solve() { int i,j,k,l,r,x,y; string s; double pi=atan(1)*4; cin>>N>>L; FOR(i,N) { cin>>T[i]; S[i]=sin(2*pi*T[i]/L); C[i]=cos(2*pi*T[i]/L); SS+=S[i]; SC+=C[i]; if(i>=2) { DS+=S[i]*(i-1); DC+=C[i]*(i-1); } } double ret=0; FOR(i,N) { ret+=S[i]*DC-C[i]*DS; DS-=SS; DC-=SC; DS+=S[i]*(N-1)+S[i+1]; DC+=C[i]*(N-1)+C[i+1]; } ret /= 2; ret /= 1LL*N*(N-1)*(N-2)/6; _P("%.12lf\n",ret); } 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; }