#include using namespace std; #define rep(i, l, r) for (int i = (int)(l); i<(int)(r); i++) #define ll long long #line 2 "data-structure-2d/wavelet-matrix.hpp" #include struct bit_vector { using u32 = uint32_t; using i64 = int64_t; using u64 = uint64_t; static constexpr u32 w = 64; vector block; vector count; u32 n, zeros; inline u32 get(u32 i) const { return u32(block[i / w] >> (i % w)) & 1u; } inline void set(u32 i) { block[i / w] |= 1LL << (i % w); } bit_vector() {} bit_vector(int _n) { init(_n); } __attribute__((optimize("O3", "unroll-loops"))) void init(int _n) { n = zeros = _n; block.resize(n / w + 1, 0); count.resize(block.size(), 0); } __attribute__((target("popcnt"))) void build() { for (u32 i = 1; i < block.size(); ++i) count[i] = count[i - 1] + _mm_popcnt_u64(block[i - 1]); zeros = rank0(n); } inline u32 rank0(u32 i) const { return i - rank1(i); } __attribute__((target("bmi2,popcnt"))) inline u32 rank1(u32 i) const { return count[i / w] + _mm_popcnt_u64(_bzhi_u64(block[i / w], i % w)); } }; template struct WaveletMatrix { using u32 = uint32_t; using i64 = int64_t; using u64 = uint64_t; int n, lg; vector a; vector bv; WaveletMatrix(u32 _n) : n(max(_n, 1)), a(n) {} WaveletMatrix(const vector& _a) : n(_a.size()), a(_a) { build(); } __attribute__((optimize("O3"))) void build() { lg = __lg(max(*max_element(begin(a), end(a)), 1)) + 1; bv.assign(lg, n); vector cur = a, nxt(n); for (int h = lg - 1; h >= 0; --h) { for (int i = 0; i < n; ++i) if ((cur[i] >> h) & 1) bv[h].set(i); bv[h].build(); array it{begin(nxt), begin(nxt) + bv[h].zeros}; for (int i = 0; i < n; ++i) *it[bv[h].get(i)]++ = cur[i]; swap(cur, nxt); } return; } void set(u32 i, const T& x) { assert(x >= 0); a[i] = x; } inline pair succ0(int l, int r, int h) const { return make_pair(bv[h].rank0(l), bv[h].rank0(r)); } inline pair succ1(int l, int r, int h) const { u32 l0 = bv[h].rank0(l); u32 r0 = bv[h].rank0(r); u32 zeros = bv[h].zeros; return make_pair(l + zeros - l0, r + zeros - r0); } // return a[k] T access(u32 k) const { T ret = 0; for (int h = lg - 1; h >= 0; --h) { u32 f = bv[h].get(k); ret |= f ? T(1) << h : 0; k = f ? bv[h].rank1(k) + bv[h].zeros : bv[h].rank0(k); } return ret; } // k-th (0-indexed) smallest number in a[l, r) T kth_smallest(u32 l, u32 r, u32 k) const { T res = 0; for (int h = lg - 1; h >= 0; --h) { u32 l0 = bv[h].rank0(l), r0 = bv[h].rank0(r); if (k < r0 - l0) l = l0, r = r0; else { k -= r0 - l0; res |= (T)1 << h; l += bv[h].zeros - l0; r += bv[h].zeros - r0; } } return res; } // k-th (0-indexed) largest number in a[l, r) T kth_largest(int l, int r, int k) { return kth_smallest(l, r, r - l - k - 1); } // count i s.t. (l <= i < r) && (v[i] < upper) int range_freq(int l, int r, T upper) { if (upper >= (T(1) << lg)) return r - l; int ret = 0; for (int h = lg - 1; h >= 0; --h) { bool f = (upper >> h) & 1; u32 l0 = bv[h].rank0(l), r0 = bv[h].rank0(r); if (f) { ret += r0 - l0; l += bv[h].zeros - l0; r += bv[h].zeros - r0; } else { l = l0; r = r0; } } return ret; } int range_freq(int l, int r, T lower, T upper) { return range_freq(l, r, upper) - range_freq(l, r, lower); } // max v[i] s.t. (l <= i < r) && (v[i] < upper) T prev_value(int l, int r, T upper) { int cnt = range_freq(l, r, upper); return cnt == 0 ? T(-1) : kth_smallest(l, r, cnt - 1); } // min v[i] s.t. (l <= i < r) && (lower <= v[i]) T next_value(int l, int r, T lower) { int cnt = range_freq(l, r, lower); return cnt == r - l ? T(-1) : kth_smallest(l, r, cnt); } }; /* * @brief Wavelet Matrix * @docs docs/data-structure-2d/wavelet-matrix.md */ int main() { //よく考えるとWM使わなくても尺取り法で解けそう //落ちたら書き直したいが、ジャッジが... int N; cin >> N; vector A(N); rep(i, 0, N) { cin >> A[i]; A[i]--; } //Range Set Query with Wavelet Matrix vector pre(N, -1), prec(N, -1); rep(i, 0, N) { pre[i] = prec[A[i]]; prec[A[i]] = i; } WaveletMatrix WM(pre); for (int k = 1; k <= N; k++) { int now = 0; int ans = 0; while(now != N) { int ok = min(N, now + k), ng = N+1; while(ng-ok>1) { int mid = (ok + ng) / 2; int cnt = WM.range_freq(now, mid, now); if (cnt <= k) ok = mid; else ng = mid; } ans++; now = ok; } cout << ans << endl; } }