#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } using mint = modint998244353; void debug_mint1(vector &vec) { for (int i = 0; i < vec.size(); i++) { cerr << vec[i].val() << " "; } cerr << endl; } void debug_mint2(vector> &vec) { for (int i = 0; i < vec.size(); i++) { for (int j = 0; j < vec[i].size(); j++) { cerr << vec[i][j].val() << " "; } cerr << endl; } } int main(){ ll N; cin >> N; vector A(N); for (ll i = 0; i < N; i++){ cin >> A[i]; A[i]--; } ll INF = 10000000000023; vector cnts(N, 0); ll B = 1500; for (ll i = 1; i <= min(B, N); i++){ // 尺取り法 + dp vector dp(N + 1, INF); dp[0] = 0; ll left = 0; ll right = 0; ll kind = 0; while (left < N){ if (right == N){ cnts[A[left]]--; if (cnts[A[left]] == 0){ kind--; } left++; } else if (kind <= i){ if (cnts[A[right]] == 0){ kind++; } cnts[A[right]]++; right++; } else{ cnts[A[left]]--; if (cnts[A[left]] == 0){ kind--; } left++; } if (kind <= i){ dp[right] = min(dp[right], dp[left] + 1); } } cout << dp[N] << endl; } for (ll i = B + 1; i <= N; i++){ ll now = 0; ll cnt = 0; while (now < N){ if (N - now <= i){ cnt++; break; } ll ok = i; ll ng = N - now + 1; while (ng - ok > 1){ ll mid = (ok + ng) / 2; ll kind = 0; for (ll j = now; j < now + mid; j++){ if (cnts[A[j]] == 0){ kind++; } cnts[A[j]]++; } for (ll j = now; j < now + mid; j++){ cnts[A[j]]--; } if (kind > i){ ng = mid; } else{ ok = mid; } } now += ok; cnt++; // debug(now); } cout << cnt << endl; } }