#include "bits/stdc++.h" //#include "atcoder/all" using namespace std; //using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; //using mint = modint998244353; //const int mod = 998244353; const int INF = 1e9; //const long long LINF = 1e18; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define endl "\n" int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n, m; cin >> n >> m; vectorb(m); rep(i, m) { cin >> b[i]; b[i]--; } double ans = n - 1; vectorsum(m + 1); sum[0] = 0; rep(i, m) { sum[i + 1] = sum[i] + (n - 1) - b[(m - 1) - i]; } rep2(i, 1, m) { //i個目までのワープパネルには乗り続ける。 double anssub = (double)b[0] + m / ((double)m - i) + sum[m - i] / (m - i); ans = min(anssub, ans); } printf("%.16f\n", ans); return 0; }