#include<bits/stdc++.h>
using namespace std;
using LL=long long;
#define FOR(i,l,r)for(int i=(l);i<=(r);++i)
#define REP(i,n)FOR(i,0,(n)-1)
#define ssize(x)int(x.size())
#ifdef DEBUG
auto&operator<<(auto&o,pair<auto,auto>p){return o<<"("<<p.first<<", "<<p.second<<")";}
auto&operator<<(auto&o,tuple<auto,auto,auto>t){return o<<"("<<get<0>(t)<<", "<<get<1>(t)<<", "<<get<2>(t)<<")";}
auto&operator<<(auto&o,tuple<auto,auto,auto,auto>t){return o<<"("<<get<0>(t)<<", "<<get<1>(t)<<", "<<get<2>(t)<<", "<<get<3>(t)<<")";}
auto operator<<(auto&o,auto x)->decltype(x.end(),o){o<<"{";int i=0;for(auto e:x)o<<","+!i++<<e;return o<<"}";}
#define debug(X...)cerr<<"["#X"]: ",[](auto...$){((cerr<<$<<"; "),...)<<endl;}(X)
#else
#define debug(...){}
#endif
vector<pair<int, int>> same_floor(int n) {
vector<pair<int, int>> v;
for (int l = 1, r; l <= n; l = r + 1) {
r = n / (n / l);
v.emplace_back(l, r);
}
return v;
}
struct Fenwick {
vector<LL> s;
Fenwick(int n) : s(n) {}
void update(int pos, LL val) {
for(; pos < ssize(s); pos |= pos + 1)
s[pos] += val;
}
LL query(int pos) {
LL ret = 0;
for(pos++; pos > 0; pos &= pos - 1)
ret += s[pos - 1];
return ret;
}
LL query(int l, int r) {
return query(r) - query(l - 1);
}
};
struct RangeAdd {
Fenwick f;
RangeAdd(int n) : f(n) {}
void update(int l, int r, LL val) {
f.update(l, val);
f.update(r + 1, -val);
}
LL query(int pos) {
return f.query(pos);
}
};
int main() {
cin.tie(0)->sync_with_stdio(0);
int n;
cin >> n;
vector<int> ans(n + 1);
map<int, int> m;
REP(i, n) {
int x;
cin >> x;
++m[x];
}
RangeAdd tree(n + 1);
for (auto [_, cnt] : m) {
for (auto [l, r] : same_floor(cnt)) {
debug(_, cnt, l, r, cnt / l);
tree.update(l, r, cnt / l);
}
}
FOR(i, 1, n)
cout << tree.query(i) * i << (i == n ? '\n' : ' ');
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 | #include<bits/stdc++.h> using namespace std; using LL=long long; #define FOR(i,l,r)for(int i=(l);i<=(r);++i) #define REP(i,n)FOR(i,0,(n)-1) #define ssize(x)int(x.size()) #ifdef DEBUG auto&operator<<(auto&o,pair<auto,auto>p){return o<<"("<<p.first<<", "<<p.second<<")";} auto&operator<<(auto&o,tuple<auto,auto,auto>t){return o<<"("<<get<0>(t)<<", "<<get<1>(t)<<", "<<get<2>(t)<<")";} auto&operator<<(auto&o,tuple<auto,auto,auto,auto>t){return o<<"("<<get<0>(t)<<", "<<get<1>(t)<<", "<<get<2>(t)<<", "<<get<3>(t)<<")";} auto operator<<(auto&o,auto x)->decltype(x.end(),o){o<<"{";int i=0;for(auto e:x)o<<","+!i++<<e;return o<<"}";} #define debug(X...)cerr<<"["#X"]: ",[](auto...$){((cerr<<$<<"; "),...)<<endl;}(X) #else #define debug(...){} #endif vector<pair<int, int>> same_floor(int n) { vector<pair<int, int>> v; for (int l = 1, r; l <= n; l = r + 1) { r = n / (n / l); v.emplace_back(l, r); } return v; } struct Fenwick { vector<LL> s; Fenwick(int n) : s(n) {} void update(int pos, LL val) { for(; pos < ssize(s); pos |= pos + 1) s[pos] += val; } LL query(int pos) { LL ret = 0; for(pos++; pos > 0; pos &= pos - 1) ret += s[pos - 1]; return ret; } LL query(int l, int r) { return query(r) - query(l - 1); } }; struct RangeAdd { Fenwick f; RangeAdd(int n) : f(n) {} void update(int l, int r, LL val) { f.update(l, val); f.update(r + 1, -val); } LL query(int pos) { return f.query(pos); } }; int main() { cin.tie(0)->sync_with_stdio(0); int n; cin >> n; vector<int> ans(n + 1); map<int, int> m; REP(i, n) { int x; cin >> x; ++m[x]; } RangeAdd tree(n + 1); for (auto [_, cnt] : m) { for (auto [l, r] : same_floor(cnt)) { debug(_, cnt, l, r, cnt / l); tree.update(l, r, cnt / l); } } FOR(i, 1, n) cout << tree.query(i) * i << (i == n ? '\n' : ' '); } |
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