Rick and Morty want to find MR. PBH and they can't do it alone. So they need of Mr. Meeseeks. They Have generated *n* Mr. Meeseeks, standing in a line numbered from 1 to *n*. Each of them has his own color. *i*-th Mr. Meeseeks' color is *a*<sub class="lower-index">*i*</sub>. 

Rick and Morty are gathering their army and they want to divide Mr. Meeseeks into some squads. They don't want their squads to be too colorful, so each squad should have Mr. Meeseeks of at most *k* different colors. Also each squad should be a continuous subarray of Mr. Meeseeks in the line. Meaning that for each 1 ≤ *i* ≤ *e* ≤ *j* ≤ *n*, if Mr. Meeseeks number *i* and Mr. Meeseeks number *j* are in the same squad then Mr. Meeseeks number *e* should be in that same squad.

Also, each squad needs its own presidio, and building a presidio needs money, so they want the total number of squads to be minimized.

Rick and Morty haven't finalized the exact value of *k*, so in order to choose it, for each *k* between 1 and *n* (inclusive) need to know the minimum number of presidios needed.
The first line of input contains a single integer *n* (1 ≤ *n* ≤ 10<sup class="upper-index">5</sup>) — number of Mr. Meeseeks.

The second line contains *n* integers *a*<sub class="lower-index">1</sub>, *a*<sub class="lower-index">2</sub>, ..., *a*<sub class="lower-index">*n*</sub> separated by spaces (1 ≤ *a*<sub class="lower-index">*i*</sub> ≤ *n*) — colors of Mr. Meeseeks in order they standing in a line.
For the first sample testcase, some optimal ways of dividing army into squads for each *k* are:
 1.  [1], [3], [4], [3, 3] 1.  [1], [3, 4, 3, 3] 1.  [1, 3, 4, 3, 3] 1.  [1, 3, 4, 3, 3] 1.  [1, 3, 4, 3, 3] 
For the second testcase, some optimal ways of dividing army into squads for each *k* are:
 1.  [1], [5], [7], [8], [1], [7], [6], [1] 1.  [1, 5], [7, 8], [1, 7], [6, 1] 1.  [1, 5, 7], [8], [1, 7, 6, 1] 1.  [1, 5, 7, 8], [1, 7, 6, 1] 1.  [1, 5, 7, 8, 1, 7, 6, 1] 1.  [1, 5, 7, 8, 1, 7, 6, 1] 1.  [1, 5, 7, 8, 1, 7, 6, 1] 1.  [1, 5, 7, 8, 1, 7, 6, 1]
5
1 3 4 3 3
4 2 1 1 1 
8
1 5 7 8 1 7 6 1
8 4 3 2 1 1 1 1 
10
4 1 2 6 8 5 3 9 3 9
10 4 3 2 2 2 2 1 1 1 
85
23 11 69 1 49 10 7 13 66 35 81 4 51 2 62 55 31 18 85 34 59 44 20 28 27 5 6 79 43 78 45 64 61 56 12 40 54 52 24 14 26 65 75 72 30 46 67 80 38 70 25 60 50 8 17 84 41 71 58 76 19 47 73 29 3 48 82 33 39 63 15 37 83 36 9 32 16 57 68 53 21 77 22 42 74
85 43 29 22 17 15 13 11 10 9 8 8 7 7 6 6 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 
100
39 78 71 61 54 13 17 81 30 33 83 98 44 10 45 87 75 47 70 84 41 86 49 94 85 91 37 64 5 56 67 79 28 89 50 53 77 93 81 14 97 67 58 6 48 60 89 62 29 3 38 8 88 19 66 63 100 17 43 97 21 12 58 76 2 78 25 73 99 11 27 18 57 46 4 72 68 45 74 18 2 80 51 52 42 59 55 35 1 95 42 92 36 40 59 15 7 21 97 53
100 50 34 25 20 17 15 13 11 10 10 9 8 7 7 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1
1
1 
/*
 This code has been written by MinakoKojima, feel free to ask me question. Blog: http://www.shuizilong.com/house
 Template Date: 2015.10.12
 Note: ...
 */

#pragma comment(linker, "/STACK:36777216")
//#pragma GCC optimize ("O2")
#define LOCAL
#include <functional>
#include <algorithm>
#include <iostream>
#include <fstream>
#include <sstream>
#include <iomanip>
#include <numeric>
#include <cstring>
#include <climits>
#include <cassert>
#include <complex>
#include <cstdio>
#include <string>
#include <vector>
#include <bitset>
#include <queue>
#include <stack>
#include <cmath>
#include <ctime>
#include <list>
#include <set>
#include <map>

//#include <tr1/unordered_set>
//#include <tr1/unordered_map>
//#include <array>

using namespace std;

#define REP(i, n) for (int i=0;i<n;++i)
#define FOR(i, a, b) for (int i=a;i<b;++i)
#define DWN(i, b, a) for (int i=b-1;i>=a;--i)
#define REP_1(i, n) for (int i=1;i<=n;++i)
#define FOR_1(i, a, b) for (int i=a;i<=b;++i)
#define DWN_1(i, b, a) for (int i=b;i>=a;--i)
#define REP_C(i, n) for (int n____=n,i=0;i<n____;++i)
#define FOR_C(i, a, b) for (int b____=b,i=a;i<b____;++i)
#define DWN_C(i, b, a) for (int a____=a,i=b-1;i>=a____;--i)
#define REP_N(i, n) for (i=0;i<n;++i)
#define FOR_N(i, a, b) for (i=a;i<b;++i)
#define DWN_N(i, b, a) for (i=b-1;i>=a;--i)
#define REP_1_C(i, n) for (int n____=n,i=1;i<=n____;++i)
#define FOR_1_C(i, a, b) for (int b____=b,i=a;i<=b____;++i)
#define DWN_1_C(i, b, a) for (int a____=a,i=b;i>=a____;--i)
#define REP_1_N(i, n) for (i=1;i<=n;++i)
#define FOR_1_N(i, a, b) for (i=a;i<=b;++i)
#define DWN_1_N(i, b, a) for (i=b;i>=a;--i)
#define REP_C_N(i, n) for (int n____=(i=0,n);i<n____;++i)
#define FOR_C_N(i, a, b) for (int b____=(i=0,b);i<b____;++i)
#define DWN_C_N(i, b, a) for (int a____=(i=b-1,a);i>=a____;--i)
#define REP_1_C_N(i, n) for (int n____=(i=1,n);i<=n____;++i)
#define FOR_1_C_N(i, a, b) for (int b____=(i=a,b);i<=b____;++i)
#define DWN_1_C_N(i, b, a) for (int a____=(i=b,a);i>=a____;--i)

#define ECH(it, A) for (__typeof((A).begin()) it=(A).begin(); it != (A).end(); ++it)
#define rECH(it, A) for (__typeof((A).rbegin()) it=(A).rbegin(); it != (A).rend(); ++it)
#define REP_S(i, str) for (char*i=str;*i;++i)
#define REP_L(i, hd, suc) for (int i=hd;i;i=suc[i])
#define REP_G(i, u) REP_L(i,hd[u],suc)
#define REP_SS(x, s) for (int x=s;x;x=(x-1)&s)
#define DO(n) for ( int ____n = n; ____n-->0; )
#define REP_2(i, j, n, m) REP(i, n) REP(j, m)
#define REP_2_1(i, j, n, m) REP_1(i, n) REP_1(j, m)
#define REP_3(i, j, k, n, m, l) REP(i, n) REP(j, m) REP(k, l)
#define REP_3_1(i, j, k, n, m, l) REP_1(i, n) REP_1(j, m) REP_1(k, l)
#define REP_4(i, j, k, ii, n, m, l, nn) REP(i, n) REP(j, m) REP(k, l) REP(ii, nn)
#define REP_4_1(i, j, k, ii, n, m, l, nn) REP_1(i, n) REP_1(j, m) REP_1(k, l) REP_1(ii, nn)

#define ALL(A) A.begin(), A.end()
#define LLA(A) A.rbegin(), A.rend()
#define CPY(A, B) memcpy(A, B, sizeof(A))
#define INS(A, P, B) A.insert(A.begin() + P, B)
#define ERS(A, P) A.erase(A.begin() + P)
#define LBD(A, x) (lower_bound(ALL(A), x) - A.begin())
#define UBD(A, x) (upper_bound(ALL(A), x) - A.begin())
#define CTN(T, x) (T.find(x) != T.end())
#define SZ(A) int((A).size())
#define PB push_back
#define MP(A, B) make_pair(A, B)
#define PTT pair<T, T>
#define Ts *this
#define rTs return Ts
#define fi first
#define se second
#define re real()
#define im imag()

#define Rush for(int ____T=RD(); ____T--;)
#define Display(A, n, m) {                      \
REP(i, n){		                            \
REP(j, m-1) cout << A[i][j] << " ";     \
cout << A[i][m-1] << endl;		        \
}						                    \
}
#define Display_1(A, n, m) {                    \
REP_1(i, n){		                        \
REP_1(j, m-1) cout << A[i][j] << " ";   \
cout << A[i][m] << endl;		        \
}						                    \
}

typedef long long LL;
//typedef long double DB;
typedef double DB;
typedef unsigned uint;
typedef unsigned long long uLL;

typedef vector<int> VI;
typedef vector<char> VC;
typedef vector<string> VS;
typedef vector<LL> VL;
typedef vector<DB> VF;
typedef set<int> SI;
typedef set<string> SS;
typedef map<int, int> MII;
typedef map<string, int> MSI;
typedef pair<int, int> PII;
typedef pair<LL, LL> PLL;
typedef vector<PII> VII;
typedef vector<VI> VVI;
typedef vector<VII> VVII;

template<class T> inline T& RD(T &);
template<class T> inline void OT(const T &);
//inline int RD(){int x; return RD(x);}
inline LL RD(){LL x; return RD(x);}
inline DB& RF(DB &);
inline DB RF(){DB x; return RF(x);}
inline char* RS(char *s);
inline char& RC(char &c);
inline char RC();
inline char& RC(char &c){scanf(" %c", &c); return c;}
inline char RC(){char c; return RC(c);}
//inline char& RC(char &c){c = getchar(); return c;}
//inline char RC(){return getchar();}

template<class T> inline T& RDD(T &);
inline LL RDD(){LL x; return RDD(x);}

template<class T0, class T1> inline T0& RD(T0 &x0, T1 &x1){RD(x0), RD(x1); return x0;}
template<class T0, class T1, class T2> inline T0& RD(T0 &x0, T1 &x1, T2 &x2){RD(x0), RD(x1), RD(x2); return x0;}
template<class T0, class T1, class T2, class T3> inline T0& RD(T0 &x0, T1 &x1, T2 &x2, T3 &x3){RD(x0), RD(x1), RD(x2), RD(x3); return x0;}
template<class T0, class T1, class T2, class T3, class T4> inline T0& RD(T0 &x0, T1 &x1, T2 &x2, T3 &x3, T4 &x4){RD(x0), RD(x1), RD(x2), RD(x3), RD(x4); return x0;}
template<class T0, class T1, class T2, class T3, class T4, class T5> inline T0& RD(T0 &x0, T1 &x1, T2 &x2, T3 &x3, T4 &x4, T5 &x5){RD(x0), RD(x1), RD(x2), RD(x3), RD(x4), RD(x5); return x0;}
template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline T0& RD(T0 &x0, T1 &x1, T2 &x2, T3 &x3, T4 &x4, T5 &x5, T6 &x6){RD(x0), RD(x1), RD(x2), RD(x3), RD(x4), RD(x5), RD(x6); return x0;}
template<class T0, class T1> inline void OT(const T0 &x0, const T1 &x1){OT(x0), OT(x1);}
template<class T0, class T1, class T2> inline void OT(const T0 &x0, const T1 &x1, const T2 &x2){OT(x0), OT(x1), OT(x2);}
template<class T0, class T1, class T2, class T3> inline void OT(const T0 &x0, const T1 &x1, const T2 &x2, const T3 &x3){OT(x0), OT(x1), OT(x2), OT(x3);}
template<class T0, class T1, class T2, class T3, class T4> inline void OT(const T0 &x0, const T1 &x1, const T2 &x2, const T3 &x3, const T4 &x4){OT(x0), OT(x1), OT(x2), OT(x3), OT(x4);}
template<class T0, class T1, class T2, class T3, class T4, class T5> inline void OT(const T0 &x0, const T1 &x1, const T2 &x2, const T3 &x3, const T4 &x4, const T5 &x5){OT(x0), OT(x1), OT(x2), OT(x3), OT(x4), OT(x5);}
template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline void OT(const T0 &x0, const T1 &x1, const T2 &x2, const T3 &x3, const T4 &x4, const T5 &x5, const T6 &x6){OT(x0), OT(x1), OT(x2), OT(x3), OT(x4), OT(x5), OT(x6);}
inline char& RC(char &a, char &b){RC(a), RC(b); return a;}
inline char& RC(char &a, char &b, char &c){RC(a), RC(b), RC(c); return a;}
inline char& RC(char &a, char &b, char &c, char &d){RC(a), RC(b), RC(c), RC(d); return a;}
inline char& RC(char &a, char &b, char &c, char &d, char &e){RC(a), RC(b), RC(c), RC(d), RC(e); return a;}
inline char& RC(char &a, char &b, char &c, char &d, char &e, char &f){RC(a), RC(b), RC(c), RC(d), RC(e), RC(f); return a;}
inline char& RC(char &a, char &b, char &c, char &d, char &e, char &f, char &g){RC(a), RC(b), RC(c), RC(d), RC(e), RC(f), RC(g); return a;}
inline DB& RF(DB &a, DB &b){RF(a), RF(b); return a;}
inline DB& RF(DB &a, DB &b, DB &c){RF(a), RF(b), RF(c); return a;}
inline DB& RF(DB &a, DB &b, DB &c, DB &d){RF(a), RF(b), RF(c), RF(d); return a;}
inline DB& RF(DB &a, DB &b, DB &c, DB &d, DB &e){RF(a), RF(b), RF(c), RF(d), RF(e); return a;}
inline DB& RF(DB &a, DB &b, DB &c, DB &d, DB &e, DB &f){RF(a), RF(b), RF(c), RF(d), RF(e), RF(f); return a;}
inline DB& RF(DB &a, DB &b, DB &c, DB &d, DB &e, DB &f, DB &g){RF(a), RF(b), RF(c), RF(d), RF(e), RF(f), RF(g); return a;}
inline void RS(char *s1, char *s2){RS(s1), RS(s2);}
inline void RS(char *s1, char *s2, char *s3){RS(s1), RS(s2), RS(s3);}
template<class T0,class T1>inline T0& RDD(T0&a, T1&b){RDD(a),RDD(b); return a;}
template<class T0,class T1,class T2>inline T1& RDD(T0&a, T1&b, T2&c){RDD(a),RDD(b),RDD(c); return a;}

template<class T> inline void RST(T &A){memset(A, 0, sizeof(A));}
template<class T> inline void FLC(T &A, int x){memset(A, x, sizeof(A));}
template<class T> inline void CLR(T &A){A.clear();}

template<class T0, class T1> inline void RST(T0 &A0, T1 &A1){RST(A0), RST(A1);}
template<class T0, class T1, class T2> inline void RST(T0 &A0, T1 &A1, T2 &A2){RST(A0), RST(A1), RST(A2);}
template<class T0, class T1, class T2, class T3> inline void RST(T0 &A0, T1 &A1, T2 &A2, T3 &A3){RST(A0), RST(A1), RST(A2), RST(A3);}
template<class T0, class T1, class T2, class T3, class T4> inline void RST(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4){RST(A0), RST(A1), RST(A2), RST(A3), RST(A4);}
template<class T0, class T1, class T2, class T3, class T4, class T5> inline void RST(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5){RST(A0), RST(A1), RST(A2), RST(A3), RST(A4), RST(A5);}
template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline void RST(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5, T6 &A6){RST(A0), RST(A1), RST(A2), RST(A3), RST(A4), RST(A5), RST(A6);}
template<class T0, class T1> inline void FLC(T0 &A0, T1 &A1, int x){FLC(A0, x), FLC(A1, x);}
template<class T0, class T1, class T2> inline void FLC(T0 &A0, T1 &A1, T2 &A2, int x){FLC(A0, x), FLC(A1, x), FLC(A2, x);}
template<class T0, class T1, class T2, class T3> inline void FLC(T0 &A0, T1 &A1, T2 &A2, T3 &A3, int x){FLC(A0, x), FLC(A1, x), FLC(A2, x), FLC(A3, x);}
template<class T0, class T1, class T2, class T3, class T4> inline void FLC(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, int x){FLC(A0, x), FLC(A1, x), FLC(A2, x), FLC(A3, x), FLC(A4, x);}
template<class T0, class T1, class T2, class T3, class T4, class T5> inline void FLC(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5, int x){FLC(A0, x), FLC(A1, x), FLC(A2, x), FLC(A3, x), FLC(A4, x), FLC(A5, x);}
template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline void FLC(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5, T6 &A6, int x){FLC(A0, x), FLC(A1, x), FLC(A2, x), FLC(A3, x), FLC(A4, x), FLC(A5, x), FLC(A6, x);}
template<class T> inline void CLR(priority_queue<T, vector<T>, less<T> > &Q){while (!Q.empty()) Q.pop();}
template<class T> inline void CLR(priority_queue<T, vector<T>, greater<T> > &Q){while (!Q.empty()) Q.pop();}
template<class T> inline void CLR(stack<T> &S){while (!S.empty()) S.pop();}
template<class T> inline void CLR(queue<T> &Q){while (!Q.empty()) Q.pop();}

template<class T0, class T1> inline void CLR(T0 &A0, T1 &A1){CLR(A0), CLR(A1);}
template<class T0, class T1, class T2> inline void CLR(T0 &A0, T1 &A1, T2 &A2){CLR(A0), CLR(A1), CLR(A2);}
template<class T0, class T1, class T2, class T3> inline void CLR(T0 &A0, T1 &A1, T2 &A2, T3 &A3){CLR(A0), CLR(A1), CLR(A2), CLR(A3);}
template<class T0, class T1, class T2, class T3, class T4> inline void CLR(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4){CLR(A0), CLR(A1), CLR(A2), CLR(A3), CLR(A4);}
template<class T0, class T1, class T2, class T3, class T4, class T5> inline void CLR(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5){CLR(A0), CLR(A1), CLR(A2), CLR(A3), CLR(A4), CLR(A5);}
template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline void CLR(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5, T6 &A6){CLR(A0), CLR(A1), CLR(A2), CLR(A3), CLR(A4), CLR(A5), CLR(A6);}
template<class T> inline void CLR(T &A, int n){REP(i, n) CLR(A[i]);}

template<class T> inline bool EPT(T &a){return a.empty();}
template<class T> inline T& SRT(T &A){sort(ALL(A)); return A;}
template<class T, class C> inline T& SRT(T &A, C cmp){sort(ALL(A), cmp); return A;}
template<class T> inline T& RVS(T &A){reverse(ALL(A)); return A;}
template<class T> inline T& UNQQ(T &A){A.resize(unique(ALL(A))-A.begin());return A;}
template<class T> inline T& UNQ(T &A){SRT(A);return UNQQ(A);}
template<class T, class C> inline T& UNQ(T &A, C cmp){SRT(A, cmp);return UNQQ(A);}


//}

/** Constant List .. **/ //{

const int MOD = int(1e9) + 7;
const int INF = 0x3f3f3f3f;
const LL INFF = 0x3f3f3f3f3f3f3f3fLL;
const DB EPS = 1e-9;
const DB OO = 1e20;
const DB PI = acos(-1.0); //M_PI;

const int dx[] = {-1, 0, 1, 0};
const int dy[] = {0, 1, 0, -1};

//}

/** Add On .. **/ //{
// <<= '0. Nichi Joo ., //{

template<class T> inline bool checkMin(T &a,const T b){return b < a ? a = b, 1 : 0;}
template<class T> inline bool checkMax(T &a,const T b){return a < b ? a = b, 1 : 0;}
template <class T, class C> inline bool checkUpd(T& a, const T b, C c){return c(b,a) ? a = b, 1 : 0;}
template<class T> inline T min(T a, T b, T c){return min(min(a, b), c);}
template<class T> inline T max(T a, T b, T c){return max(max(a, b), c);}
template<class T> inline T min(T a, T b, T c, T d){return min(min(a, b), min(c, d));}
template<class T> inline T max(T a, T b, T c, T d){return max(max(a, b), max(c, d));}
template<class T> inline T min(T a, T b, T c, T d, T e){return min(min(min(a,b),min(c,d)),e);}
template<class T> inline T max(T a, T b, T c, T d, T e){return max(max(max(a,b),max(c,d)),e);}
template<class T> inline T sqr(T a){return a*a;}
template<class T> inline T cub(T a){return a*a*a;}
template<class T> inline T ceil(T x, T y){return (x - 1) / y + 1;}
template<class T> T abs(T x){return x>0?x:-x;}
inline int sgn(DB x){return x < -EPS ? -1 : x > EPS;}
inline int sgn(DB x, DB y){return sgn(x - y);}

inline DB cos(DB a, DB b, DB c){return (sqr(a)+sqr(b)-sqr(c))/(2*a*b);}
inline DB cot(DB x){return 1./tan(x);};
inline DB sec(DB x){return 1./cos(x);};
inline DB csc(DB x){return 1./sin(x);};

//}
// <<= '1. Bitwise Operation ., //{
namespace BO{
    
    inline bool _1(int x, int i){return bool(x&1<<i);}
    inline bool _1(LL x, int i){return bool(x&1LL<<i);}
    inline LL _1(int i){return 1LL<<i;}
    inline LL _U(int i){return _1(i) - 1;};
    
    inline int reverse_bits(int x){
        x = ((x >> 1) & 0x55555555) | ((x << 1) & 0xaaaaaaaa);
        x = ((x >> 2) & 0x33333333) | ((x << 2) & 0xcccccccc);
        x = ((x >> 4) & 0x0f0f0f0f) | ((x << 4) & 0xf0f0f0f0);
        x = ((x >> 8) & 0x00ff00ff) | ((x << 8) & 0xff00ff00);
        x = ((x >>16) & 0x0000ffff) | ((x <<16) & 0xffff0000);
        return x;
    }
    
    inline LL reverse_bits(LL x){
        x = ((x >> 1) & 0x5555555555555555LL) | ((x << 1) & 0xaaaaaaaaaaaaaaaaLL);
        x = ((x >> 2) & 0x3333333333333333LL) | ((x << 2) & 0xccccccccccccccccLL);
        x = ((x >> 4) & 0x0f0f0f0f0f0f0f0fLL) | ((x << 4) & 0xf0f0f0f0f0f0f0f0LL);
        x = ((x >> 8) & 0x00ff00ff00ff00ffLL) | ((x << 8) & 0xff00ff00ff00ff00LL);
        x = ((x >>16) & 0x0000ffff0000ffffLL) | ((x <<16) & 0xffff0000ffff0000LL);
        x = ((x >>32) & 0x00000000ffffffffLL) | ((x <<32) & 0xffffffff00000000LL);
        return x;
    }
    
    template<class T> inline bool odd(T x){return x&1;}
    template<class T> inline bool even(T x){return !odd(x);}
    template<class T> inline T low_bit(T x) {return x & -x;}
    template<class T> inline T high_bit(T x) {T p = low_bit(x);while (p != x) x -= p, p = low_bit(x);return p;}
    template<class T> inline T cover_bit(T x){T p = 1; while (p < x) p <<= 1;return p;}
    template<class T> inline int cover_idx(T x){int p = 0; while (_1(p) < x ) ++p; return p;}
    
    inline int clz(int x){return __builtin_clz(x);}
    inline int clz(LL x){return __builtin_clzll(x);}
    inline int ctz(int x){return __builtin_ctz(x);}
    inline int ctz(LL x){return __builtin_ctzll(x);}
    inline int lg2(int x){return !x ? -1 : 31 - clz(x);}
    inline int lg2(LL x){return !x ? -1 : 63 - clz(x);}
    inline int low_idx(int x){return !x ? -1 : ctz(x);}
    inline int low_idx(LL x){return !x ? -1 : ctz(x);}
    inline int high_idx(int x){return lg2(x);}
    inline int high_idx(LL x){return lg2(x);}
    inline int parity(int x){return __builtin_parity(x);}
    inline int parity(LL x){return __builtin_parityll(x);}
    inline int count_bits(int x){return __builtin_popcount(x);}
    inline int count_bits(LL x){return __builtin_popcountll(x);}
    
} using namespace BO;//}


// <<= '2. Number Theory .,//{
namespace NT{
#define gcd __gcd
    inline LL lcm(LL a, LL b){return a*b/gcd(a,b);}
    
    inline void INC(int &a, int b){a += b; if (a >= MOD) a -= MOD;}
    inline int sum(int a, int b){a += b; if (a >= MOD) a -= MOD; return a;}
    
    /* 模数两倍刚好超 int 时。
     inline int sum(uint a, int b){a += b; a %= MOD;if (a < 0) a += MOD; return a;}
     inline void INC(int &a, int b){a = sum(a, b);}
     */
    
    inline void DEC(int &a, int b){a -= b; if (a < 0) a += MOD;}
    inline int dff(int a, int b){a -= b; if (a < 0) a  += MOD; return a;}
    inline void MUL(int &a, int b){a = (LL)a * b % MOD;}
    //inline int pdt(int a, int b){return (LL)a * b % MOD;}
    inline int pdt(int x,int y) {
        int ret; __asm__ __volatile__ ("\tmull %%ebx\n\tdivl %%ecx\n":"=d"(ret):"a"(x),"b"(y),"c"(MOD));
        return ret;
    }
    
    
    inline int gcd(int m, int n, int &x, int &y){
        
        x = 1, y = 0; int xx = 0, yy = 1, q;
        
        while (1){
            q = m / n, m %= n;
            if (!m){x = xx, y = yy; return n;}
            DEC(x, pdt(q, xx)), DEC(y, pdt(q, yy));
            q = n / m, n %= m;
            if (!n) return m;
            DEC(xx, pdt(q, x)), DEC(yy, pdt(q, y));
        }
    }
    
    inline int sum(int a, int b, int c){return sum(a, sum(b, c));}
    inline int sum(int a, int b, int c, int d){return sum(sum(a, b), sum(c, d));}
    inline int pdt(int a, int b, int c){return pdt(a, pdt(b, c));}
    inline int pdt(int a, int b, int c, int d){return pdt(pdt(a, b), pdt(c, d));}
    
    inline int pow(int a, LL b){
        int c(1); while (b){
            if (b&1) MUL(c, a);
            MUL(a, a), b >>= 1;
        }
        return c;
    }
    
    template<class T> inline T pow(T a, LL b){
        T c(1); while (b){
            if (b&1) c *= a;
            a *= a, b >>= 1;
        }
        return c;
    }
    
    template<class T> inline T pow(T a, int b){
        return pow(a, (LL)b);
    }
    
    inline int _I(int b){
        int a = MOD, x1 = 0, x2 = 1, q; while (1){
            q = a / b, a %= b;
            if (!a) return x2;
            DEC(x1, pdt(q, x2));
            
            q = b / a, b %= a;
            if (!b) return x1;
            DEC(x2, pdt(q, x1));
        }
    }
    
    inline void DIV(int &a, int b){MUL(a, _I(b));}
    inline int qtt(int a, int b){return pdt(a, _I(b));}
    
    struct Int{
        int val;
        
        operator int() const{return val;}
        
        Int(int _val = 0):val(_val){
            val %= MOD; if (val < 0) val += MOD;
        }
        Int(LL _val):val(_val){
            _val %= MOD; if (_val < 0) _val += MOD;
            val = _val;
        }
        
        Int& operator +=(const int& rhs){INC(val, rhs);rTs;}
        Int operator +(const int& rhs) const{return sum(val, rhs);}
        Int& operator -=(const int& rhs){DEC(val, rhs);rTs;}
        Int operator -(const int& rhs) const{return dff(val, rhs);}
        Int& operator *=(const int& rhs){MUL(val, rhs);rTs;}
        Int operator *(const int& rhs) const{return pdt(val, rhs);}
        Int& operator /=(const int& rhs){DIV(val, rhs);rTs;}
        Int operator /(const int& rhs) const{return qtt(val, rhs);}
        Int operator-()const{return MOD-*this;}
    };
    
} using namespace NT;//}


//}



/** I/O Accelerator Interface .. **/ //{
#define g (c=getchar())
#define d isdigit(g)
#define p x=x*10+c-'0'
#define n x=x*10+'0'-c
#define pp l/=10,p
#define nn l/=10,n
template<class T> inline T& RD(T &x){
    char c;while(!d);x=c-'0';while(d)p;
    return x;
}
template<class T> inline T& RDD(T &x){
    char c;while(g,c!='-'&&!isdigit(c));
    if (c=='-'){x='0'-g;while(d)n;}
    else{x=c-'0';while(d)p;}
    return x;
}
inline DB& RF(DB &x){
    //scanf("%lf", &x);
    char c;while(g,c!='-'&&c!='.'&&!isdigit(c));
    if(c=='-')if(g=='.'){x=0;DB l=1;while(d)nn;x*=l;}
    else{x='0'-c;while(d)n;if(c=='.'){DB l=1;while(d)nn;x*=l;}}
    else if(c=='.'){x=0;DB l=1;while(d)pp;x*=l;}
    else{x=c-'0';while(d)p;if(c=='.'){DB l=1;while(d)pp;x*=l;}}
    return x;
}
#undef nn
#undef pp
#undef n
#undef p
#undef d
#undef g
inline char* RS(char *s){
    //gets(s);
    scanf("%s", s);
    return s;
}

LL last_ans; int Case; template<class T> inline void OT(const T &x){
    //printf("Case #%d: ", ++Case);
    //printf("%lld\n", x);
    //printf("%I64d\n", x);
    //printf("%.9f\n", x);
    //printf("%d\n", x);
    cout << x << endl;
    //last_ans = x;
}


//}/* .................................................................................................................................. */

const int N = int(1e5) + 9;
int a[N];
int n;

int T[N], A[N], pre[N];

namespace ST{
    
#define lx l[x]
#define rx r[x]
#define ly l[y]
#define ry r[y]
#define ml (ll + rr >> 1)
#define mr (ml + 1)
    
    const int NN = N*50 + 9;
    int l[NN], r[NN], c[NN], tot;
    
    int new_node(){
        return ++tot;
    }
    
    int Add(int y, int p, int d){
        int x = new_node(), root = x; int ll = 1, rr = n;
        
        c[x] = c[y] + d;
        while (ll < rr){
            if (p < mr){
                lx = new_node(), rx = ry;
                x = lx, y = ly, rr = ml;
            }
            else {
                lx = ly, rx = new_node();
                x = rx, y = ry, ll = mr;
            }
            c[x] = c[y] + d;
        }
        return root;
    }
    
    int Sum(int x, int p){
        int z = 0, ll = 1, rr = n;
        while (p != rr){
            if (p < mr) x = lx, rr = ml;
            else z += c[lx], x = rx, ll = mr;
        }
        z += c[x];
        return z;
    }
}


int next(int k, int x){
    int l = x, r = n - 1;
    while (l < r){
        int m = (l + r + 1) / 2;
        if (ST::Sum(T[x], m) <= k) l = m;
        else r = m - 1;
    }
    return l+1;
}

int f(int k){
    int x = 0, z = 0;
    while (x < n){
        x = next(k, x);
        ++z;
    }
    return z;
}

int main(){
    
#ifndef ONLINE_JUDGE
    freopen("/users/minakokojima/ACM-Training/Workspace/in.txt", "r", stdin);
    //freopen("/users/minakokojima/ACM-Training/Workspace/out.txt", "w", stdout);
#endif

    RD(n); REP(i, n) RD(a[i]);
    
#define ii pre[a[i]]
    
    DWN(i, n, 0){
        int x = T[i+1]; if (ii) x = ST::Add(x, ii, -1); x = ST::Add(x, i, 1); ii = i;
        T[i] = x;
    }
    REP_1(k, n) printf("%d ", f(k));
}
