#include <bits/stdc++.h>
#define rep(i,n) for (int i=0; i < (n); i++)
using namespace std;
using ll = long long;

int main(){
    ios::sync_with_stdio(false);
    cout << std::fixed << std::setprecision(15);
    double N,M; cin>>N>>M;
    vector<double> B;
    rep(i,M){
        int x; cin>>x;
        B.push_back(x);
    }

    if(M==1){
        cout << (double)N-1 << endl; return 0;
    }
    double wpl=B[0], wpr=B[B.size()-1];

    double ans=0;
    double ct=0;
    for(double b:B){
        if(wpr-b<=M){
            ct++;
        }
    }
    if(M==2){
        if(wpr-wpl==1){
            cout << N-1 << endl; return 0;
        }
        ans += ((wpl-1)+2+(N-wpr))/1;
        cout << ans << endl; return 0;
    }
    cerr << ct <<endl;
    double mm = M;
    for(double b:B){
        if(wpr-b<=M){
            cerr << ((wpl-1)+1/mm*(N-b)) << endl;
            ans += ((wpl-1)+ ct + (N-b))/ct;
        }
    }
    if(N-1<ans){
        cout << N-1 << endl;
    }else{
        cout << ans << endl;
    }

}