#include using namespace std; using ll=long long; const ll ILL=2167167167167167167; const int INF=100000000; #define rep(i,a,b) for (int i=(int)(a);i<(int)(b);i++) #define all(p) p.begin(),p.end() template using _pq = priority_queue, greater>; template int LB(vector &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();} template int UB(vector &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();} template bool chmin(T &a,T b){if(b bool chmax(T &a,T b){if(a void So(vector &v) {sort(v.begin(),v.end());} template void Sore(vector &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});} bool yneos(bool a,bool upp=false){if(a){cout<<(upp?"YES\n":"Yes\n");}else{cout<<(upp?"NO\n":"No\n");}return a;} template void vec_out(vector &p,int ty=0){ if(ty==2){cout<<'{';for(int i=0;i<(int)p.size();i++){if(i){cout<<",";}cout<<'"'< T vec_min(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;} template T vec_max(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;} template T vec_sum(vector &a){T ans=T(0);for(auto &x:a) ans+=x;return ans;} int pop_count(long long a){int res=0;while(a){res+=(a&1),a>>=1;}return res;} template T square(T a){return a * a;} #include using F = array, 2>; F op(F l, F r){ F res; rep(i, 0, 2) rep(j, 0, 2) res[i][j] = INF; rep(i, 0, 2) rep(j, 0, 2) rep(k, 0, 2){ chmin(res[i][k], l[i][j] + r[j][k]); } return res; } F e(){ F res; rep(i, 0, 2) rep(j, 0, 2){ res[i][j] = (i == j ? 0 : INF); } return res; } void solve(); // CITRUS CURIO CITY / FREDERIC int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int t = 1; // cin >> t; rep(i, 0, t) solve(); } void solve(){ int N; cin >> N; vector A(N); vector> G(N); rep(i, 0, N) cin >> A[i], A[i]--, G[A[i]].push_back(i); int ans = INF; vector base(N * 2, e()); rep(i, 0, N * 2){ base[i][0][1] = 1; base[i][1][1] = 1; } atcoder::segtree seg(base); rep(i, 0, N) if (!G[i].empty()){ G[i].push_back(G[i][0] + N); int tmp = N; rep(j, 1, G[i].size()){ auto val = seg.prod(G[i][j - 1] + 1, G[i][j]); tmp += min(val[0][0], val[0][1]) - 1; } chmin(ans, tmp); G[i].pop_back(); for (auto x : G[i]){ F val = e(); val[0][0] = 1; val[0][1] = 0; seg.set(x, val); seg.set(x + N, val); } } cout << ans << "\n"; }