#include using namespace std; using ll=long long; const ll ILL=2167167167167167167; const int INF=2100000000; #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 int op(int a, int b){ return a + b; } int e(){ return 0; } bool f(int x){ return x == e(); } 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, 1); atcoder::segtree seg1(N * 2), seg2(base); rep(i, 0, N) if (!G[i].empty()){ for (auto x : G[i]){ seg1.set(x, 1); seg1.set(x + N, 1); } G[i].push_back(G[i].back() + N); int tmp = N; rep(j, 1, (int)G[i].size()){ int l = G[i][j - 1]; int r = G[i][j]; tmp--; l = seg1.max_right(l + 1); r = seg2.min_left(r); if (l < r){ auto sum = seg1.prod(l, r); tmp += min(sum, r - l - sum); } } chmin(ans, tmp); G[i].pop_back(); for (auto x : G[i]){ seg2.set(x, 0); seg2.set(x + N, 0); } } cout << ans << "\n"; }