#include #include #include using namespace std; using namespace atcoder; using mint = modint998244353; #define rep(i,n) for (int i = 0; i < (n); ++i) #define Inf32 1000000001 #define Inf64 4000000000000000001LL vector merge(vector &a,vector &b){ vector ret(a.size()); rep(i,a.size()){ int to = i + a[i]; to %= a.size(); ret[i] = a[i] + b[to]; } return ret; } int main(){ long long N,K; cin>>N>>K; N*=2; N/=2; vector a(N); rep(i,K){ int t; cin>>t; t--; a[t/2]++; } rep(i,N)a.push_back(a[i]); vector nxt(N); { int last = -1; for(int i=N*2-1;i>=0;i--){ if(a[i])last = i; if(last!=-1)nxt[i%N] = last-i+1; } } a.insert(a.begin(),0); rep(i,a.size()-1){ a[i+1]+=a[i]; } int ok = 1,ng = N; while(ng-ok>1){ int mid = (ok+ng)/2; vector dp(N); rep(i,N){ int t = a[i+mid] - a[i]; dp[i] = max(nxt[i],mid); } vector cur(N,0); rep(i,19){ if((K>>i)&1)cur = merge(cur,dp); dp= merge(dp,dp); } long long mini = Inf64; rep(i,N){ if(cur[i]!=-1){ mini = min(mini,cur[i]); } } if(mini<=N)ok = mid; else ng = mid; } cout<