/*
author: Maksim1744
created: 28.04.2024 03:07:13
*/
#include "bits/stdc++.h"
using namespace std;
using ll = long long;
using ld = long double;
#define mp make_pair
#define pb push_back
#define eb emplace_back
#define sum(a) ( accumulate ((a).begin(), (a).end(), 0ll))
#define mine(a) (*min_element((a).begin(), (a).end()))
#define maxe(a) (*max_element((a).begin(), (a).end()))
#define mini(a) ( min_element((a).begin(), (a).end()) - (a).begin())
#define maxi(a) ( max_element((a).begin(), (a).end()) - (a).begin())
#define lowb(a, x) ( lower_bound((a).begin(), (a).end(), (x)) - (a).begin())
#define uppb(a, x) ( upper_bound((a).begin(), (a).end(), (x)) - (a).begin())
template<typename T> vector<T>& operator-- (vector<T> &v){for (auto& i : v) --i; return v;}
template<typename T> vector<T>& operator++ (vector<T> &v){for (auto& i : v) ++i; return v;}
template<typename T> istream& operator>>(istream& is, vector<T> &v){for (auto& i : v) is >> i; return is;}
template<typename T> ostream& operator<<(ostream& os, vector<T> v){for (auto& i : v) os << i << ' '; return os;}
template<typename T, typename U> pair<T,U>& operator-- (pair<T, U> &p){--p.first; --p.second; return p;}
template<typename T, typename U> pair<T,U>& operator++ (pair<T, U> &p){++p.first; ++p.second; return p;}
template<typename T, typename U> istream& operator>>(istream& is, pair<T, U> &p){is >> p.first >> p.second; return is;}
template<typename T, typename U> ostream& operator<<(ostream& os, pair<T, U> p){os << p.first << ' ' << p.second; return os;}
template<typename T, typename U> pair<T,U> operator-(pair<T,U> a, pair<T,U> b){return mp(a.first-b.first, a.second-b.second);}
template<typename T, typename U> pair<T,U> operator+(pair<T,U> a, pair<T,U> b){return mp(a.first+b.first, a.second+b.second);}
template<typename T, typename U> void umin(T& a, U b){if (a > b) a = b;}
template<typename T, typename U> void umax(T& a, U b){if (a < b) a = b;}
#ifdef HOME
#define SHOW_COLORS
#include "/mnt/c/Libs/tools/print.cpp"
#else
#define show(...) void(0)
#define debugf(fun) fun
#define debugv(var) var
#define mclock void(0)
#define shows void(0)
#define debug if (false)
#define OSTREAM(...) ;
#define OSTREAM0(...) ;
#endif
void move_inside(int i);
void move_outside(int i);
int press_button();
#ifdef HOUSE
set<int> cur;
vector<int> col;
array<int, 3> que;
void move_inside(int i) {
++que[0];
cur.insert(i);
}
void move_outside(int i) {
++que[1];
cur.erase(i);
}
int press_button() {
++que[2];
map<int, int> u;
for (int i : cur)
u[col[i]]++;
int ans = 0;
for (auto [a, b] : u)
ans = max(ans, b);
return ans;
}
#endif
int min_cardinality(int n) {
set<int> cur;
map<set<int>, int> mem;
auto add = [&](int i) {
if (cur.count(i)) return;
cur.insert(i);
move_inside(i);
};
auto rem = [&](int i) {
if (!cur.count(i)) return;
cur.erase(i);
move_outside(i);
};
auto ask = [&]() -> int {
if (cur.size() <= 1) return cur.size();
if (mem.count(cur)) return mem[cur];
return mem[cur] = press_button();
};
auto clear = [&]() {
while (!cur.empty())
rem(*cur.begin());
};
for (int i = 0; i < n; ++i) {
add(i);
if (ask() > 1) {
rem(i);
}
}
if (cur.size() == n) return 1;
int dif = cur.size();
set<int> left;
for (int i = 0; i < n; ++i) {
left.insert(i);
}
int L = 1, R = 1;
while (R * cur.size() <= n) ++R;
int m = 0;
while (R - L > 1) {
int C = (L + R + 0) / 2;
while (C <= L) ++C;
while (C >= R) --C;
int cleft = left.size();
for (int i : left) {
add(i);
if (ask() > C - m)
rem(i);
--cleft;
if (cur.size() + cleft < (C - m) * dif) {
for (int u : left)
if (u > i)
cur.insert(u);
break;
}
}
if (cur.size() == (C - m) * dif) {
for (int i : cur)
left.erase(i);
clear();
L = C;
m = L;
} else {
// for (int i = 0; i < n; ++i) {
// if (!cur.count(i))
// left.erase(i);
// }
left = cur;
clear();
R = C;
}
}
return L;
}
#ifdef HOUSE
// mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
mt19937_64 rng(3294793);
ll rnd (ll l, ll r) { return (ll)(rng() % (r - l + 1)) + l; }
ll rnd (ll r) { return rng() % r; }
ll rnd () { return rng(); }
ld rndf() { return (ld)rng() / (ld)ULLONG_MAX; }
ld rndf(ld l, ld r) { return rndf() * (r - l) + l; }
int main() {
ios_base::sync_with_stdio(false); cin.tie(NULL);
int mxq = 0;
int T = 100000;
int n = 2000;
while (T--) {
int C = rnd(1, n);
// int C = rnd(1, n);
cur.clear();
col.resize(n);
for (int i = 0; i < n; ++i)
col[i] = rnd(C);
que.fill(0);
int ans = 1e9;
map<int, int> m;
for (int i : col)
m[i]++;
for (auto [a, b] : m)
ans = min(ans, b);
int x = min_cardinality(n);
// cerr << "ans=" << ans << " out=" << x << endl;
// cerr << "que: ";
// for (int x : que)
// cerr << x << ' ';
// cerr << endl;
// cerr << fixed << setprecision(3) << (ld)maxe(que) / n << endl;
show(m);
assert(ans == x);
// assert(maxe(que) <= n * 3);
mxq = max(mxq, maxe(que));
cerr << "mxq: " << maxe(que) << " " << (ld)mxq / n << ' ' << "C=" << C << endl;
if (mxq > n * 3) {
cerr << "ans=" << ans << " out=" << x << endl;
cerr << "que: ";
for (int x : que)
cerr << x << ' ';
cerr << endl;
}
assert(mxq <= n * 3);
}
return 0;
}
#endif
Compilation message
insects.cpp: In function 'int min_cardinality(int)':
insects.cpp:112:20: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
112 | if (cur.size() == n) return 1;
| ~~~~~~~~~~~^~~~
insects.cpp:120:27: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
120 | while (R * cur.size() <= n) ++R;
| ~~~~~~~~~~~~~~~^~~~
insects.cpp:132:36: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
132 | if (cur.size() + cleft < (C - m) * dif) {
| ~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~
insects.cpp:139:24: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
139 | if (cur.size() == (C - m) * dif) {
| ~~~~~~~~~~~^~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
596 KB |
Output is correct |
5 |
Correct |
0 ms |
344 KB |
Output is correct |
6 |
Correct |
6 ms |
1880 KB |
Output is correct |
7 |
Correct |
6 ms |
1624 KB |
Output is correct |
8 |
Correct |
7 ms |
1624 KB |
Output is correct |
9 |
Correct |
8 ms |
1624 KB |
Output is correct |
10 |
Correct |
4 ms |
988 KB |
Output is correct |
11 |
Correct |
4 ms |
1112 KB |
Output is correct |
12 |
Correct |
6 ms |
1508 KB |
Output is correct |
13 |
Correct |
8 ms |
1624 KB |
Output is correct |
14 |
Correct |
6 ms |
1368 KB |
Output is correct |
15 |
Correct |
7 ms |
1624 KB |
Output is correct |
16 |
Correct |
6 ms |
1784 KB |
Output is correct |
17 |
Correct |
7 ms |
1620 KB |
Output is correct |
18 |
Correct |
7 ms |
1368 KB |
Output is correct |
19 |
Correct |
7 ms |
1624 KB |
Output is correct |
20 |
Correct |
8 ms |
2468 KB |
Output is correct |
21 |
Correct |
9 ms |
1880 KB |
Output is correct |
22 |
Correct |
4 ms |
1368 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
596 KB |
Output is correct |
5 |
Correct |
0 ms |
344 KB |
Output is correct |
6 |
Correct |
6 ms |
1880 KB |
Output is correct |
7 |
Correct |
6 ms |
1624 KB |
Output is correct |
8 |
Correct |
7 ms |
1624 KB |
Output is correct |
9 |
Correct |
8 ms |
1624 KB |
Output is correct |
10 |
Correct |
4 ms |
988 KB |
Output is correct |
11 |
Correct |
4 ms |
1112 KB |
Output is correct |
12 |
Correct |
6 ms |
1508 KB |
Output is correct |
13 |
Correct |
8 ms |
1624 KB |
Output is correct |
14 |
Correct |
6 ms |
1368 KB |
Output is correct |
15 |
Correct |
7 ms |
1624 KB |
Output is correct |
16 |
Correct |
6 ms |
1784 KB |
Output is correct |
17 |
Correct |
7 ms |
1620 KB |
Output is correct |
18 |
Correct |
7 ms |
1368 KB |
Output is correct |
19 |
Correct |
7 ms |
1624 KB |
Output is correct |
20 |
Correct |
8 ms |
2468 KB |
Output is correct |
21 |
Correct |
9 ms |
1880 KB |
Output is correct |
22 |
Correct |
4 ms |
1368 KB |
Output is correct |
23 |
Correct |
132 ms |
24604 KB |
Output is correct |
24 |
Correct |
168 ms |
24356 KB |
Output is correct |
25 |
Correct |
169 ms |
25272 KB |
Output is correct |
26 |
Correct |
150 ms |
23816 KB |
Output is correct |
27 |
Correct |
71 ms |
10648 KB |
Output is correct |
28 |
Correct |
76 ms |
12240 KB |
Output is correct |
29 |
Correct |
137 ms |
18596 KB |
Output is correct |
30 |
Correct |
175 ms |
26716 KB |
Output is correct |
31 |
Correct |
156 ms |
24412 KB |
Output is correct |
32 |
Correct |
154 ms |
24380 KB |
Output is correct |
33 |
Correct |
147 ms |
24452 KB |
Output is correct |
34 |
Correct |
151 ms |
24428 KB |
Output is correct |
35 |
Correct |
154 ms |
25120 KB |
Output is correct |
36 |
Correct |
155 ms |
24656 KB |
Output is correct |
37 |
Correct |
167 ms |
25468 KB |
Output is correct |
38 |
Correct |
185 ms |
26564 KB |
Output is correct |
39 |
Correct |
205 ms |
30444 KB |
Output is correct |
40 |
Correct |
177 ms |
24688 KB |
Output is correct |
41 |
Correct |
120 ms |
18008 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
344 KB |
Output is correct |
5 |
Correct |
0 ms |
344 KB |
Output is correct |
6 |
Correct |
0 ms |
344 KB |
Output is correct |
7 |
Correct |
604 ms |
95424 KB |
Output is correct |
8 |
Correct |
923 ms |
95056 KB |
Output is correct |
9 |
Correct |
725 ms |
97956 KB |
Output is correct |
10 |
Correct |
676 ms |
89588 KB |
Output is correct |
11 |
Correct |
298 ms |
40364 KB |
Output is correct |
12 |
Correct |
460 ms |
71620 KB |
Output is correct |
13 |
Partially correct |
593 ms |
72180 KB |
Output is partially correct |
14 |
Correct |
784 ms |
97272 KB |
Output is correct |
15 |
Correct |
696 ms |
94940 KB |
Output is correct |
16 |
Correct |
660 ms |
95272 KB |
Output is correct |
17 |
Correct |
757 ms |
95196 KB |
Output is correct |
18 |
Correct |
649 ms |
94964 KB |
Output is correct |
19 |
Partially correct |
629 ms |
95644 KB |
Output is partially correct |
20 |
Correct |
652 ms |
95024 KB |
Output is correct |
21 |
Correct |
673 ms |
94684 KB |
Output is correct |
22 |
Correct |
841 ms |
108932 KB |
Output is correct |
23 |
Correct |
830 ms |
107016 KB |
Output is correct |
24 |
Correct |
1107 ms |
139056 KB |
Output is correct |
25 |
Correct |
878 ms |
97396 KB |
Output is correct |
26 |
Correct |
568 ms |
70824 KB |
Output is correct |
27 |
Correct |
708 ms |
98160 KB |
Output is correct |
28 |
Correct |
676 ms |
98060 KB |
Output is correct |
29 |
Partially correct |
678 ms |
95356 KB |
Output is partially correct |
30 |
Partially correct |
733 ms |
94240 KB |
Output is partially correct |
31 |
Correct |
695 ms |
96736 KB |
Output is correct |
32 |
Correct |
686 ms |
97276 KB |
Output is correct |
33 |
Correct |
824 ms |
101036 KB |
Output is correct |
34 |
Correct |
638 ms |
101900 KB |
Output is correct |
35 |
Partially correct |
715 ms |
97344 KB |
Output is partially correct |
36 |
Partially correct |
655 ms |
96228 KB |
Output is partially correct |
37 |
Correct |
718 ms |
96108 KB |
Output is correct |
38 |
Correct |
762 ms |
95576 KB |
Output is correct |
39 |
Correct |
782 ms |
105452 KB |
Output is correct |
40 |
Correct |
757 ms |
104988 KB |
Output is correct |
41 |
Partially correct |
760 ms |
99344 KB |
Output is partially correct |
42 |
Partially correct |
827 ms |
100212 KB |
Output is partially correct |
43 |
Correct |
21 ms |
3420 KB |
Output is correct |
44 |
Partially correct |
157 ms |
21288 KB |
Output is partially correct |
45 |
Correct |
575 ms |
95936 KB |
Output is correct |
46 |
Correct |
239 ms |
71508 KB |
Output is correct |
47 |
Correct |
796 ms |
71496 KB |
Output is correct |
48 |
Correct |
429 ms |
71552 KB |
Output is correct |